diff --git a/UPDATES.md b/UPDATES.md
index 00f94f6..36ebc59 100644
--- a/UPDATES.md
+++ b/UPDATES.md
@@ -1,9 +1,13 @@
---
-updatedAt: 2026-09-06T20:54:00+09:00
+updatedAt: 2026-09-06T21:34:36+09:00
---
## 2026년 9월 6일
+### 악곡별 점수 계산 정확도 개선
+
+`IMPROVED` 388개 채보의 기본 점수를 악곡·난이도별 공식으로 계산하도록 개선했습니다. 비가시 채보 지점을 포함한 점수 환산 기준을 반영했으며, 배치 분석과 조합 탐색에서 적용 여부를 ‘곡별 공식’으로 표시합니다. 코로네 곡 Expert도 원본 채보의 비가시 지점을 직접 집계해 반영했습니다.
+
### 배치 분석 이용 통계 안내
`IMPROVED` 통계 수집에 동의하면 배치 분석 실행 시 선택한 카드·개화 단계·악곡·난이도를 서비스 개선을 위해 수집합니다. 수집 범위 변경에 따라 기존 이용자에게도 다시 동의를 요청하며, 거부해도 모든 기능을 이용할 수 있습니다.
diff --git a/docs/research/m0341-expert-sus.md b/docs/research/m0341-expert-sus.md
new file mode 100644
index 0000000..7ddf8e7
--- /dev/null
+++ b/docs/research/m0341-expert-sus.md
@@ -0,0 +1,49 @@
+# 코로네 Expert 원본 SUS 분모 계산
+
+2026-09-06, 공개 에셋 카탈로그 revision 70에서 `chart_m0341_expert.sus`를 확보했다. SHA-256은 `b6523da612971b3c8816a8fbb5d86d14d569b259aae84387f2818dd31944d969`이며 서비스 채보의 원본 해시와 일치한다.
+
+## 집계
+
+| 종류 | 개수 | 1개 가중치 | 합 |
+|---|---:|---:|---:|
+| 일반 | 464 | 1000 | 464000 |
+| 독립 플릭 | 85 | 1050 | 89250 |
+| 홀드 시작 | 109 | 1000 | 109000 |
+| 홀드 끝 | 83 | 1000 | 83000 |
+| 홀드 끝 플릭 | 26 | 1000 | 26000 |
+| 보이는 릴레이 | 40 | 100 | 4000 |
+| 홀드 중간 판정 | 151 | 100 | 15100 |
+| 비가시 릴레이 | 105 | 100 | 10500 |
+| 베지어 제어점 | 0 | 100 | 0 |
+| **전체 분모** | | | **800850** |
+
+득점 판정 958개의 합은 790350이다. 비가시 릴레이 105개를 분모에만 더한다. 일반 노트=1 단위로는 **800.85**다.
+
+공개 [SUS 파서](https://github.com/UntitledCharts/sonolus-level-converters/blob/main/sonolus_converters/holodori_sus/loader.py)의 종류 구분과 압축 토큰 규칙을 대조했다. family 3의 kind 4/5를 베지어/비가시 릴레이로 집계한다. `0xNN`은 base62 빈 칸 압축이며 노트가 아니다. 같은 채널이 여러 줄로 나와도 모두 유지한다. 생성되는 홀드 중간 판정은 SUS 헤더의 카테고리별 개수를 사용한다. 따라서 이 도구는 전체 득점 타임라인을 복원하는 파서가 아니다.
+
+## 검증
+
+- 기존 실측 대상 18개 채보 + 코로네 Easy/Normal/Hard = **알려진 분모 21개 전부 일치**.
+- 코로네 Hard: 득점 합 495550 + 비가시 48×100 = **500350**.
+- 실제 엔진의 기존 일반 PERFECT 실측 19건은 계속 모두 일치한다.
+- 이번 Expert 분모는 원본 구조와 검증된 집계법으로 산출한 값이다. 코로네 Expert의 신규 게임 실측값은 아직 없다.
+
+SUS 헤더의 `SCORE_LEVEL`은 26이지만, 현재 공개 마스터 및 서비스 난이도는 **28**이다. 환산식에는 28을 사용한다. 곡별 계수는 5다.
+
+```text
+곡·난이도 배율 = 2.3 × (1 + 5/1000 × (28 − 5)) = 2.5645
+scoreRatio = 800.85 / 2.5645 = 312.28309612010145
+일반 PERFECT 기본점수 = 종합력 / 312.28309612010145
+```
+
+## 적용과 재현
+
+신규 값은 외부 연구 메타데이터와 구분하여 `sus-score-formulas.json`에 출처·해시·집계표·검증 대상과 함께 기록했다. 공식 적용 및 채보 수집은 이 값을 함께 읽고, SUS 해시가 달라지면 적용을 거부한다. 현재 서비스 카탈로그 **388개 모두 formula-v1**이며 추정값으로 남아 있는 채보는 없다. 신규 곡의 분모가 자동으로 확보되는 것은 아니며 원본 확보·집계·검증 과정이 필요하다.
+
+```sh
+node scripts/calculate-sus-score-formula.mjs data/raw/sus/chart_m0341_expert.sus
+node scripts/validate-sus-score-formulas.mjs data/raw/sus
+npm run test:sus-score
+```
+
+원본 SUS는 `data/raw/sus`에 저장되어 있으며 Git 및 공개 배포에는 포함하지 않는다.
diff --git a/docs/research/song-score-formula-reference.json b/docs/research/song-score-formula-reference.json
new file mode 100644
index 0000000..f65d558
--- /dev/null
+++ b/docs/research/song-score-formula-reference.json
@@ -0,0 +1,3514 @@
+{
+ "schemaVersion": 1,
+ "source": {
+ "url": "https://airei.dev/metadata/music_meta.json",
+ "fetchedAt": "2026-09-06T11:57:10.677Z",
+ "sha256": "4d0bdac10ee2022314a218554e38b2fa33ec6f010e812210d7920a5c620fdc44",
+ "bytes": 37433697
+ },
+ "masterRevision": "1d7c7850bf2df34239c440b5b0cc53bbd72e5d5d",
+ "weightUnit": "normal PERFECT = 1000",
+ "charts": [
+ {
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+ "fullComboNoteCount": 664,
+ "baseWeight": 468500,
+ "perfectNoteWeight": 468700
+ },
+ {
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+ "perfectNoteWeight": 320750
+ },
+ {
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+ "perfectNoteWeight": 566600
+ },
+ {
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+ "perfectNoteWeight": 381200
+ },
+ {
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+ "baseWeight": 573600,
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+ },
+ {
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+ },
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+ },
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+ },
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+ },
+ {
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+ "songId": "m0321",
+ "difficulty": "expert",
+ "difficultyLevel": 30,
+ "liveScoreCoefficientPermil": 6,
+ "fullComboNoteCount": 2022,
+ "baseWeight": 1315500,
+ "perfectNoteWeight": 1348100
+ },
+ {
+ "songId": "m0321",
+ "difficulty": "hard",
+ "difficultyLevel": 26,
+ "liveScoreCoefficientPermil": 6,
+ "fullComboNoteCount": 1181,
+ "baseWeight": 916100,
+ "perfectNoteWeight": 919600
+ },
+ {
+ "songId": "m0323",
+ "difficulty": "expert",
+ "difficultyLevel": 26,
+ "liveScoreCoefficientPermil": 6,
+ "fullComboNoteCount": 1101,
+ "baseWeight": 933500,
+ "perfectNoteWeight": 950600
+ },
+ {
+ "songId": "m0323",
+ "difficulty": "hard",
+ "difficultyLevel": 18,
+ "liveScoreCoefficientPermil": 6,
+ "fullComboNoteCount": 781,
+ "baseWeight": 545100,
+ "perfectNoteWeight": 545700
+ },
+ {
+ "songId": "m0324",
+ "difficulty": "expert",
+ "difficultyLevel": 28,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 1031,
+ "baseWeight": 843500,
+ "perfectNoteWeight": 844100
+ },
+ {
+ "songId": "m0324",
+ "difficulty": "hard",
+ "difficultyLevel": 21,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 707,
+ "baseWeight": 514150,
+ "perfectNoteWeight": 516050
+ },
+ {
+ "songId": "m0325",
+ "difficulty": "expert",
+ "difficultyLevel": 26,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 1018,
+ "baseWeight": 869150,
+ "perfectNoteWeight": 876850
+ },
+ {
+ "songId": "m0325",
+ "difficulty": "hard",
+ "difficultyLevel": 19,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 589,
+ "baseWeight": 509000,
+ "perfectNoteWeight": 509100
+ },
+ {
+ "songId": "m0326",
+ "difficulty": "expert",
+ "difficultyLevel": 24,
+ "liveScoreCoefficientPermil": 6,
+ "fullComboNoteCount": 788,
+ "baseWeight": 626500,
+ "perfectNoteWeight": 630600
+ },
+ {
+ "songId": "m0326",
+ "difficulty": "hard",
+ "difficultyLevel": 17,
+ "liveScoreCoefficientPermil": 6,
+ "fullComboNoteCount": 532,
+ "baseWeight": 400350,
+ "perfectNoteWeight": 402550
+ },
+ {
+ "songId": "m0327",
+ "difficulty": "expert",
+ "difficultyLevel": 26,
+ "liveScoreCoefficientPermil": 8,
+ "fullComboNoteCount": 975,
+ "baseWeight": 892800,
+ "perfectNoteWeight": 903600
+ },
+ {
+ "songId": "m0327",
+ "difficulty": "hard",
+ "difficultyLevel": 20,
+ "liveScoreCoefficientPermil": 8,
+ "fullComboNoteCount": 768,
+ "baseWeight": 645350,
+ "perfectNoteWeight": 646650
+ },
+ {
+ "songId": "m0329",
+ "difficulty": "expert",
+ "difficultyLevel": 26,
+ "liveScoreCoefficientPermil": 9,
+ "fullComboNoteCount": 1073,
+ "baseWeight": 755350,
+ "perfectNoteWeight": 828250
+ },
+ {
+ "songId": "m0329",
+ "difficulty": "hard",
+ "difficultyLevel": 16,
+ "liveScoreCoefficientPermil": 9,
+ "fullComboNoteCount": 631,
+ "baseWeight": 461000,
+ "perfectNoteWeight": 461000
+ },
+ {
+ "songId": "m0330",
+ "difficulty": "expert",
+ "difficultyLevel": 25,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 803,
+ "baseWeight": 704650,
+ "perfectNoteWeight": 714850
+ },
+ {
+ "songId": "m0330",
+ "difficulty": "hard",
+ "difficultyLevel": 16,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 483,
+ "baseWeight": 389850,
+ "perfectNoteWeight": 390050
+ },
+ {
+ "songId": "m0331",
+ "difficulty": "expert",
+ "difficultyLevel": 22,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 870,
+ "baseWeight": 645550,
+ "perfectNoteWeight": 647250
+ },
+ {
+ "songId": "m0331",
+ "difficulty": "hard",
+ "difficultyLevel": 15,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 590,
+ "baseWeight": 425450,
+ "perfectNoteWeight": 426050
+ },
+ {
+ "songId": "m0332",
+ "difficulty": "expert",
+ "difficultyLevel": 24,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 938,
+ "baseWeight": 731700,
+ "perfectNoteWeight": 733800
+ },
+ {
+ "songId": "m0332",
+ "difficulty": "hard",
+ "difficultyLevel": 19,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 760,
+ "baseWeight": 575650,
+ "perfectNoteWeight": 576050
+ },
+ {
+ "songId": "m0333",
+ "difficulty": "expert",
+ "difficultyLevel": 25,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 888,
+ "baseWeight": 721300,
+ "perfectNoteWeight": 725800
+ },
+ {
+ "songId": "m0333",
+ "difficulty": "hard",
+ "difficultyLevel": 19,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 624,
+ "baseWeight": 528350,
+ "perfectNoteWeight": 531250
+ },
+ {
+ "songId": "m0334",
+ "difficulty": "expert",
+ "difficultyLevel": 23,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 720,
+ "baseWeight": 510600,
+ "perfectNoteWeight": 515500
+ },
+ {
+ "songId": "m0334",
+ "difficulty": "hard",
+ "difficultyLevel": 16,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 536,
+ "baseWeight": 378050,
+ "perfectNoteWeight": 379650
+ },
+ {
+ "songId": "m0335",
+ "difficulty": "expert",
+ "difficultyLevel": 27,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 1173,
+ "baseWeight": 1033850,
+ "perfectNoteWeight": 1046750
+ },
+ {
+ "songId": "m0335",
+ "difficulty": "hard",
+ "difficultyLevel": 19,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 753,
+ "baseWeight": 608000,
+ "perfectNoteWeight": 612700
+ },
+ {
+ "songId": "m0336",
+ "difficulty": "expert",
+ "difficultyLevel": 28,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 879,
+ "baseWeight": 664150,
+ "perfectNoteWeight": 691350
+ },
+ {
+ "songId": "m0336",
+ "difficulty": "hard",
+ "difficultyLevel": 18,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 611,
+ "baseWeight": 363100,
+ "perfectNoteWeight": 365100
+ },
+ {
+ "songId": "m0337",
+ "difficulty": "expert",
+ "difficultyLevel": 26,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 1209,
+ "baseWeight": 841850,
+ "perfectNoteWeight": 874750
+ },
+ {
+ "songId": "m0337",
+ "difficulty": "hard",
+ "difficultyLevel": 20,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 914,
+ "baseWeight": 532700,
+ "perfectNoteWeight": 544300
+ },
+ {
+ "songId": "m0338",
+ "difficulty": "expert",
+ "difficultyLevel": 24,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 853,
+ "baseWeight": 642400,
+ "perfectNoteWeight": 652400
+ },
+ {
+ "songId": "m0338",
+ "difficulty": "hard",
+ "difficultyLevel": 18,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 606,
+ "baseWeight": 426200,
+ "perfectNoteWeight": 426400
+ },
+ {
+ "songId": "m0339",
+ "difficulty": "expert",
+ "difficultyLevel": 26,
+ "liveScoreCoefficientPermil": 9,
+ "fullComboNoteCount": 1014,
+ "baseWeight": 615050,
+ "perfectNoteWeight": 647050
+ },
+ {
+ "songId": "m0339",
+ "difficulty": "hard",
+ "difficultyLevel": 18,
+ "liveScoreCoefficientPermil": 9,
+ "fullComboNoteCount": 676,
+ "baseWeight": 363200,
+ "perfectNoteWeight": 372500
+ },
+ {
+ "songId": "m0340",
+ "difficulty": "expert",
+ "difficultyLevel": 27,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 1364,
+ "baseWeight": 1039750,
+ "perfectNoteWeight": 1050050
+ },
+ {
+ "songId": "m0340",
+ "difficulty": "hard",
+ "difficultyLevel": 20,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 828,
+ "baseWeight": 623100,
+ "perfectNoteWeight": 625900
+ },
+ {
+ "songId": "m0341",
+ "difficulty": "hard",
+ "difficultyLevel": 21,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 665,
+ "baseWeight": 495550,
+ "perfectNoteWeight": 500350
+ },
+ {
+ "songId": "m0342",
+ "difficulty": "expert",
+ "difficultyLevel": 26,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 1158,
+ "baseWeight": 973900,
+ "perfectNoteWeight": 981600
+ },
+ {
+ "songId": "m0342",
+ "difficulty": "hard",
+ "difficultyLevel": 22,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 941,
+ "baseWeight": 795500,
+ "perfectNoteWeight": 798200
+ },
+ {
+ "songId": "m0346",
+ "difficulty": "expert",
+ "difficultyLevel": 25,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 922,
+ "baseWeight": 777600,
+ "perfectNoteWeight": 780600
+ },
+ {
+ "songId": "m0346",
+ "difficulty": "hard",
+ "difficultyLevel": 19,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 726,
+ "baseWeight": 549100,
+ "perfectNoteWeight": 549900
+ },
+ {
+ "songId": "m0347",
+ "difficulty": "expert",
+ "difficultyLevel": 26,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 931,
+ "baseWeight": 768050,
+ "perfectNoteWeight": 774350
+ },
+ {
+ "songId": "m0347",
+ "difficulty": "hard",
+ "difficultyLevel": 18,
+ "liveScoreCoefficientPermil": 5,
+ "fullComboNoteCount": 531,
+ "baseWeight": 455500,
+ "perfectNoteWeight": 455600
+ },
+ {
+ "songId": "m0353",
+ "difficulty": "expert",
+ "difficultyLevel": 27,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 953,
+ "baseWeight": 856250,
+ "perfectNoteWeight": 863050
+ },
+ {
+ "songId": "m0353",
+ "difficulty": "hard",
+ "difficultyLevel": 19,
+ "liveScoreCoefficientPermil": 7,
+ "fullComboNoteCount": 641,
+ "baseWeight": 488000,
+ "perfectNoteWeight": 489400
+ },
+ {
+ "songId": "m0359",
+ "difficulty": "expert",
+ "difficultyLevel": 25,
+ "liveScoreCoefficientPermil": 6,
+ "fullComboNoteCount": 1100,
+ "baseWeight": 672100,
+ "perfectNoteWeight": 677700
+ },
+ {
+ "songId": "m0359",
+ "difficulty": "hard",
+ "difficultyLevel": 16,
+ "liveScoreCoefficientPermil": 6,
+ "fullComboNoteCount": 719,
+ "baseWeight": 430950,
+ "perfectNoteWeight": 431550
+ },
+ {
+ "songId": "m0524",
+ "difficulty": "expert",
+ "difficultyLevel": 25,
+ "liveScoreCoefficientPermil": 8,
+ "fullComboNoteCount": 1240,
+ "baseWeight": 907750,
+ "perfectNoteWeight": 918150
+ },
+ {
+ "songId": "m0524",
+ "difficulty": "hard",
+ "difficultyLevel": 17,
+ "liveScoreCoefficientPermil": 8,
+ "fullComboNoteCount": 754,
+ "baseWeight": 563600,
+ "perfectNoteWeight": 564800
+ },
+ {
+ "songId": "m9999",
+ "difficulty": "expert",
+ "difficultyLevel": 22,
+ "liveScoreCoefficientPermil": 6,
+ "fullComboNoteCount": 267,
+ "baseWeight": 171000,
+ "perfectNoteWeight": 171200
+ },
+ {
+ "songId": "m9999",
+ "difficulty": "hard",
+ "difficultyLevel": 16,
+ "liveScoreCoefficientPermil": 6,
+ "fullComboNoteCount": 188,
+ "baseWeight": 116000,
+ "perfectNoteWeight": 116200
+ }
+ ]
+}
diff --git a/docs/research/song-score-formula-validation.md b/docs/research/song-score-formula-validation.md
new file mode 100644
index 0000000..2097e65
--- /dev/null
+++ b/docs/research/song-score-formula-validation.md
@@ -0,0 +1,119 @@
+# 곡별 점수 환산식 검증 — 2026-09-06
+
+## 결론
+
+최신 후속 결과: 원본 SUS로 m0341 Expert 분모 800850을 산출하여 적용했다. 현재 **388개 전체가 공식 기반**이다. 기존 분모 21개와의 교차 검증 및 산출 과정은 [코로네 Expert SUS 분석](m0341-expert-sus.md)에 기록했다. 아래 387개 적용 및 누락 관련 설명은 이전 검증 단계의 이력이다.
+
+후속 구현: 387개 채보에 `formula-v1`을 적용했다. `m0341.expert`는 기존 추정값을 유지한다. 아래 분석 수치와 비교표는 적용 전 상태의 기록이며, 검증 스크립트를 현재 상태에서 실행하면 공식 적용 채보의 모델 간 차이는 0으로 표시된다. 채보 수집 시에도 공식이 우선되며, 실측 적용 명령은 공식 기반 값을 덮어쓰지 않는다.
+
+연구 공식에 곡별 계수·난이도와 `perfect_note_weight`를 적용하면 저장된 **13곡, 18개 곡/난이도, 19건의 일반 PERFECT 실측값을 모두 정확히 재현**한다. 실측값에 맞춘 새로운 상수 피팅은 하지 않았다. 기존 공통 상수보다 근거가 강하며, 곡별 환산값을 생성할 공식으로 채택할 수 있다.
+
+단, 서비스의 `notes` 가중치 합을 분모로 그대로 쓰면 안 된다. 비가시 지점을 포함한 환산용 분모는 `scoreFormula.perfectNoteWeight`로 별도 보관한다. 득점 노트 및 스페셜 시각과 이벤트 계산은 변경하지 않았다.
+
+## 자료와 재현 방법
+
+- 연구 문서: https://docs.google.com/document/d/1P1newxmgxS8b-0raHk5vqnbb8X1nXh1xs3d4gYuhUMQ
+- 문서가 제공하는 메타데이터: https://airei.dev/metadata/music_meta.json
+- 메타데이터는 이번 조회에서 HTTP 200으로 접근 가능했다. 원문 775개 레코드 중 서비스 카탈로그 및 실측표에 필요한 389개 레코드의 관련 필드만 `song-score-formula-reference.json`에 보존했다. 조회 시각·원본 전체 SHA-256도 포함했다.
+- 실측 원본: `data/score-calibrations.json`. 이 자료는 곡/난이도, 종합력, 가창 보너스, 일반 PERFECT 점수를 제공한다. 플랫폼·전체 플레이 로그·측정 시각은 기록되어 있지 않다.
+- 로컬 HolodoriDB 한국어 원본 `origin/main`: `1d7c7850bf2df34239c440b5b0cc53bbd72e5d5d`.
+- `Music.json`의 곡별 계수 및 `MusicDifficulty.json`의 난이도 레벨은 참고 데이터 389개 모두 일치했다. `Setting.json`의 `liveDeckEvaluationCoefficientPermilMultiply`는 2300이다.
+
+실행:
+
+```sh
+node scripts/validate-song-score-formula.mjs
+```
+
+스크립트는 고정 참고 데이터와 현재 저장소를 읽기만 한다. 실측 점수는 BigInt 유리수 연산으로 마지막 올림까지 검증하며, 기존 `scoreRatio`는 공식 입력으로 사용하지 않는다. 누락된 실측 참고값, 실측 불일치, 카탈로그 난이도 또는 콤보 수 불일치에서는 실패한다. 실측이 없는 카탈로그의 참고 데이터 누락은 별도로 보고한다.
+
+## 검증 공식
+
+`W`는 일반 PERFECT=1000 단위의 `perfect_note_weight`, `k`는 곡별 `liveScoreCoefficientPermil`, `L`은 난이도 레벨이다.
+
+```text
+C = 2.3 × (1 + k/1000 × (L − 5))
+scoreRatio = (W/1000) / C
+일반 PERFECT 점수 = ceil(종합력 / scoreRatio × (1 + 가창 보너스/100))
+```
+
+실측 조건은 콤보·스킬 배율이 없는 일반 PERFECT 기본 점수로 해석한다. 기존 실측 검산도 같은 전제를 사용한다.
+
+올림된 점수 S로부터 ratio는 단일 값으로 결정되지 않는다. A=종합력×가창배율이면 가능한 구간은 `[A/S, A/(S−1))`다. 모든 실측에서 연구식의 ratio가 이 구간 안에 들었으며, 같은 채보에 여러 측정이 있으면 모두 충족했다. 기존 보정 ratio와 연구 ratio가 소수점까지 같을 필요는 없다.
+
+## 전체 실측 결과
+
+| 곡 | 난이도 | 실측 점수 | 연구식 |
+|---|---|---:|---:|
+| Our Promise | Easy | 6,571 | 6,571 |
+| Our Promise | Normal | 4,091 | 4,091 |
+| Our Promise | Hard | 2,295 | 2,295 |
+| Our Promise | Expert | 1,455 | 1,455 |
+| PSYCHO | Hard | 2,023 | 2,023 |
+| PSYCHO | Expert, 가창 10% | 1,203 | 1,203 |
+| PSYCHO | Expert, 가창 8.26% | 1,184 | 1,184 |
+| Los! Los! Los! | Hard | 1,633 | 1,633 |
+| Los! Los! Los! | Expert | 1,008 | 1,008 |
+| Erandekurete Arigatou | Expert | 1,742 | 1,742 |
+| Bling-Bang-Bang-Born | Expert | 998 | 998 |
+| ALiCE&u | Expert | 980 | 980 |
+| Ahoy!! We are Houshou Pirates | Expert | 1,128 | 1,128 |
+| Alien Alien | Expert | 761 | 761 |
+| Asuenokyokaisen | Expert | 1,014 | 1,014 |
+| Boom! Boom! Tropica Vacation | Expert | 937 | 937 |
+| UNDEAD | Expert | 1,113 | 1,113 |
+| Zenryoku-Jumping! | Expert | 1,671 | 1,671 |
+| NAKAMAKA | Expert | 841 | 841 |
+
+## 원인: 점수를 받는 노트와 환산 분모의 차이
+
+아래는 일반 노트=1로 정규화한 값이다.
+
+| 채보 | 현재 notes 가중치 합 | 참고 playable 가중치 (`base_weight`) | 참고 환산 분모 (`perfect_note_weight`) |
+|---|---:|---:|---:|
+| Our Promise Expert | 632.05 | 632.05 | 633.95 |
+| PSYCHO Expert | 766.25 | 763.55 | 786.55 |
+| Boom! Boom! Tropica Vacation Expert | 801.75 | 798.55 | 839.95 |
+
+Our Promise는 playable 집계가 같아도 분모가 1.9 크다. 따라서 현재 노트 분류만 정리한다고 해결되지 않는다. 연구 문서는 비가시 릴레이·베지어 지점에도 분모 가중치를 부여한다고 설명하며, 참고 메타데이터의 `perfect_note_weight − base_weight`는 그 설명과 부합한다. 이번에는 SUS 원문을 독립 파싱해 비가시 지점 개수를 재구성하지는 않았다.
+
+PSYCHO 등에는 현재 notes와 참고 playable 집계 사이에도 차이가 있다. 비가시 분모 누락 외에 홀드·릴레이·끝 플릭 분류의 차이가 추가로 존재한다. 이 차이의 개별 노트 원인은 이번 검증에서 확정하지 않았다. 실제 노트 점수 및 전체 곡 점수 정확성은 별도 점검이 필요하다.
+
+예를 들어 Boom! Boom! Tropica Vacation Expert는 종합력 296,408, 가창 0%, k=7, L=27이다.
+
+```text
+현재 notes 합을 분모로 사용: ceil(296408 × 2.6542 / 801.75) = 982
+참고 환산 분모 사용: ceil(296408 × 2.6542 / 839.95) = 937
+실측: 937
+```
+
+환산 분모를 늘리기 위해 비가시 노트를 서비스의 득점·콤보 배열에 추가해서는 안 된다. 분모 전용 필드로 보관해야 한다.
+
+## 서비스 전체 범위 비교
+
+현재 카탈로그 388개 중 참고 데이터가 있는 것은 **387개**다. 이들 모두 난이도 레벨 및 로컬 노트 수와 참고 full-combo 수가 일치한다. 같은 노트 수가 같은 노트 분류·가중치를 보장하지는 않는다.
+
+- 실측 보정 채보: 16개. 올림 전 기본 점수의 연구식 대비 평균 절대 차이 0.0432%, 최대 0.0772%. 위 실측 점수는 기존 보정과 연구식 모두 재현한다.
+- 공통 상수 추정 채보: 371개. 연구식 대비 평균 절대 차이 **3.9301%**. 절대 차이 5% 초과 114개, 10% 초과 15개.
+- KINGWORLD Expert: 현재 기본 점수가 연구식보다 **21.8420% 낮음**.
+- Excuse My Rudeness, But Could You Please RIP? Expert: 현재 기본 점수가 연구식보다 **13.9990% 높음**.
+- 참고 데이터 누락: **m0341.expert**. 현재 추정 채보 372개 중 하나다.
+
+위 백분율은 `(현재 올림 전 기본 점수 / 연구식 기본 점수 − 1) × 100`이다. 실측하지 않은 채보의 수치는 두 모델 간 차이이며, 실제 게임 오차율로 검증한 값은 아니다. 카탈로그 포함 전체를 집계했으며 공개 시각에 따른 필터는 적용하지 않았다.
+
+## 적용 시 경계와 남은 검증
+
+1. 곡별 계수·난이도·독립적인 PERFECT 분모를 보존하고 공식으로 ratio를 생성한다. 서비스의 `종합력 / scoreRatio` 인터페이스는 유지 가능하다.
+2. 실측값은 회귀 검증 기준으로 유지한다. 현재 보정값과 연구 ratio의 작은 차이는 올림된 1노트 점수만으로는 우열을 판별할 수 없다.
+3. 참고 데이터가 없는 m0341 Expert는 분모를 별도 확보하거나 기존 추정과 구분하여 유지해야 한다.
+4. 실제 총점까지 검증됐다고 표시하지 않는다. 이번 증거는 일반 PERFECT 1노트 19건이며 스킬, 콤보, PC/모바일 차이, 홀드 중간 올림을 검증하지 않았다.
+5. 참고 메타데이터 제공자와 연구 문서는 같은 출처 계열이므로, 완전히 독립적인 두 연구의 교차 검증으로 보지 않는다. 독립적인 대조 기준은 저장소에 이미 있던 실측 점수다.
+
+## 실행 확인
+
+- 신규 검증 스크립트: 19/19 정확 일치.
+- 기존 `npm run data:validate-score-calibrations`: 18개 보정 항목 통과.
+- `npm run check`: 오류 0, 경고 0.
+- `npm run build`: 온라인 빌드 확인.
+
+최초 검증 단계에서는 사용자 동작을 변경하지 않았다. 후속 공식 적용은 UPDATES.md에 기록했다. 기존 작업 중인 다른 변경은 보존했다.
diff --git a/docs/research/sus-score-formulas.json b/docs/research/sus-score-formulas.json
new file mode 100644
index 0000000..4875aa6
--- /dev/null
+++ b/docs/research/sus-score-formulas.json
@@ -0,0 +1,159 @@
+{
+ "schemaVersion": 1,
+ "source": {
+ "kind": "decrypted-sus",
+ "catalogRevision": 70,
+ "parser": "scripts/sus-score-weight.mjs"
+ },
+ "charts": [
+ {
+ "songId": "m0341",
+ "fullComboNoteCount": 958,
+ "counts": {
+ "NORMAL": 464,
+ "FLICK": 85,
+ "LONG_START": 109,
+ "LONG_END": 83,
+ "LONG_FLICK_END": 26,
+ "LONG_RELAY": 40,
+ "LONG_CONTINUE": 151
+ },
+ "invisibleRelayCount": 105,
+ "bezierPointCount": 0,
+ "baseWeight": 790350,
+ "perfectNoteWeight": 800850,
+ "difficulty": "expert",
+ "susSha256": "b6523da612971b3c8816a8fbb5d86d14d569b259aae84387f2818dd31944d969",
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 28
+ }
+ ],
+ "validationCharts": [
+ {
+ "songId": "m0010",
+ "difficulty": "expert",
+ "susSha256": "3205deef6bee19b03fd745257421e5003cfd066b6464e70205675a6822b4fe58",
+ "perfectNoteWeight": 638250
+ },
+ {
+ "songId": "m0035",
+ "difficulty": "expert",
+ "susSha256": "bf9a6cf50046633e83e4a3a53113f388ea85ee0f332ed627a14671e2c3f75228",
+ "perfectNoteWeight": 483100
+ },
+ {
+ "songId": "m0040",
+ "difficulty": "expert",
+ "susSha256": "b2857491f68e385d437731e07f26be90a1e3ea19be3e43231b819de7daf3bb6c",
+ "perfectNoteWeight": 709850
+ },
+ {
+ "songId": "m0047",
+ "difficulty": "expert",
+ "susSha256": "db36ac771d525f867c155bb62df46a9bcbc33503f4e5a4b884661d02e6f10f43",
+ "perfectNoteWeight": 731250
+ },
+ {
+ "songId": "m0108",
+ "difficulty": "expert",
+ "susSha256": "cfc11a8411f49be4b3d89f386f8f9557bc6efaf8a56e36bc7b4eeae6891b841d",
+ "perfectNoteWeight": 968500
+ },
+ {
+ "songId": "m0121",
+ "difficulty": "expert",
+ "susSha256": "475f5236d936b13dca7898aac181e42ccb18901d23faf923b4363c4e747bbd6b",
+ "perfectNoteWeight": 786550
+ },
+ {
+ "songId": "m0121",
+ "difficulty": "hard",
+ "susSha256": "6d3a096b459ebf3543c8756686795d0e4515a7e4789f853ad2533071a617473c",
+ "perfectNoteWeight": 457300
+ },
+ {
+ "songId": "m0144",
+ "difficulty": "expert",
+ "susSha256": "6771f00103c6624021e462ccd1fac4ba56b5ea3dc10858d6b36ba82ad2d088a3",
+ "perfectNoteWeight": 1054200
+ },
+ {
+ "songId": "m0157",
+ "difficulty": "easy",
+ "susSha256": "0ce41e57bb03b05db9f8b6e2624464fd3adb112e03165630683b3072b1313ead",
+ "perfectNoteWeight": 126900
+ },
+ {
+ "songId": "m0157",
+ "difficulty": "expert",
+ "susSha256": "6584e49b665276de1df1f8ce69027d290b643f74484b4b643269b9663add45cf",
+ "perfectNoteWeight": 633950
+ },
+ {
+ "songId": "m0157",
+ "difficulty": "hard",
+ "susSha256": "2d6a7bff36c9561c7368b35f54033a625c2c208f44b0b72cf5e0786cfb9e19f2",
+ "perfectNoteWeight": 385500
+ },
+ {
+ "songId": "m0157",
+ "difficulty": "normal",
+ "susSha256": "b17cfb6933fbfdc58197ea6024003c6053446c1eafe9f900fd7512034731bfe7",
+ "perfectNoteWeight": 210000
+ },
+ {
+ "songId": "m0182",
+ "difficulty": "expert",
+ "susSha256": "144c7b3be2c2ff51e203ee697371929fa7748e921766b1a6f20ec66f2f9196cd",
+ "perfectNoteWeight": 972400
+ },
+ {
+ "songId": "m0182",
+ "difficulty": "hard",
+ "susSha256": "f73f824ed32165e60476ef56d7a5cfab30aecf21c2e5eab72425b9f30b2403d7",
+ "perfectNoteWeight": 581150
+ },
+ {
+ "songId": "m0201",
+ "difficulty": "expert",
+ "susSha256": "907ae19b907106d488365765f1787bdf0f117b16b3867feeb011d7593bf652f0",
+ "perfectNoteWeight": 539400
+ },
+ {
+ "songId": "m0309",
+ "difficulty": "expert",
+ "susSha256": "348869afc7110b14e2f84f702a787eee32d46dd34e1463961baac431a4623af8",
+ "perfectNoteWeight": 839950
+ },
+ {
+ "songId": "m0312",
+ "difficulty": "expert",
+ "susSha256": "3c57185b1315e440069d86c5f2df7c0679c34e0ef6be409f89ed22aa67d9cca8",
+ "perfectNoteWeight": 758700
+ },
+ {
+ "songId": "m0319",
+ "difficulty": "expert",
+ "susSha256": "d853bf70aeb3ad267df53a8f445788a2b22cd55ff07e6209d39bff0480e7f43b",
+ "perfectNoteWeight": 906700
+ },
+ {
+ "songId": "m0341",
+ "difficulty": "easy",
+ "susSha256": "ea9fbe7b4c4d466dc50cb30410bc2f410cd5d72fa3f4d58db3a1652c0fa0f3f1",
+ "perfectNoteWeight": 177000
+ },
+ {
+ "songId": "m0341",
+ "difficulty": "hard",
+ "susSha256": "139c990b740a2fb42e5a1c18580b02e91e9da16b0f49c8ab34e544a982404820",
+ "perfectNoteWeight": 500350
+ },
+ {
+ "songId": "m0341",
+ "difficulty": "normal",
+ "susSha256": "13c9e219f5d1ab5a47b78460ace319557c236b9b92574c78d8897bb64297f475",
+ "perfectNoteWeight": 301800
+ }
+ ]
+}
diff --git a/package.json b/package.json
index a81c399..3348a55 100644
--- a/package.json
+++ b/package.json
@@ -24,7 +24,10 @@
"data:apply-score-calibrations": "node scripts/apply-score-calibrations.mjs",
"db:generate": "drizzle-kit generate",
"db:migrate": "drizzle-kit migrate",
- "db:studio": "drizzle-kit studio"
+ "db:studio": "drizzle-kit studio",
+ "data:apply-song-score-formulas": "node scripts/apply-song-score-formulas.mjs",
+ "data:validate-song-score-formula": "node scripts/validate-song-score-formula.mjs",
+ "test:sus-score": "node --test scripts/sus-score-weight.test.mjs"
},
"devDependencies": {
"@sveltejs/adapter-node": "^5.5.7",
diff --git a/scripts/apply-score-calibrations.mjs b/scripts/apply-score-calibrations.mjs
index ee01d1f..0d7cb5f 100644
--- a/scripts/apply-score-calibrations.mjs
+++ b/scripts/apply-score-calibrations.mjs
@@ -21,6 +21,9 @@ for (const calibration of calibrations.charts) {
// Easy/Normal 실측도 보관하되 현재 생성 대상인 Hard/Expert만 즉시 동기화한다.
if (!catalogRow) continue;
+ // 공식 기반 채보는 실측 보정으로 덮어쓰지 않는다. 실측은 검증 자료로 유지한다.
+ if (catalogRow.scoreCalibrationSource === 'formula-v1') continue;
+
catalogRow.scoreRatio = calibration.scoreRatio;
catalogRow.scoreCalibrationSource = 'measured';
diff --git a/scripts/apply-song-score-formulas.mjs b/scripts/apply-song-score-formulas.mjs
new file mode 100644
index 0000000..b3f4f76
--- /dev/null
+++ b/scripts/apply-song-score-formulas.mjs
@@ -0,0 +1,24 @@
+import { readFile, writeFile } from 'node:fs/promises';
+import { formulaScoreMetadata } from './song-score-formulas.mjs';
+
+const root = new URL('../', import.meta.url);
+const catalogPath = new URL('src/lib/data/exact-chart-catalog.json', root);
+const catalog = JSON.parse(await readFile(catalogPath, 'utf8'));
+const updates = [];
+const missing = [];
+// Validate every chart before writing any changes. Do not change notes or SP timing.
+for (const row of catalog.charts) {
+ const chartPath = new URL(`static${row.path}`, root);
+ const chart = JSON.parse(await readFile(chartPath, 'utf8'));
+ const metadata = formulaScoreMetadata(row.songId, row.difficulty, row.difficultyLevel, chart.notes.length, undefined, chart.source?.susSha256);
+ if (!metadata) { missing.push(`${row.songId}.${row.difficulty}`); continue; }
+ if (chart.songId !== row.songId || chart.difficulty !== row.difficulty || row.totalNotes !== chart.notes.length) {
+ throw new Error(`채보 카탈로그 불일치: ${row.songId}.${row.difficulty}`);
+ }
+ Object.assign(row, metadata);
+ Object.assign(chart, metadata);
+ updates.push({ chartPath, chart });
+}
+for (const { chartPath, chart } of updates) await writeFile(chartPath, JSON.stringify(chart));
+await writeFile(catalogPath, `${JSON.stringify(catalog, null, 2)}\n`);
+console.log(`${updates.length}개 채보에 곡별 공식을 적용했습니다. 기존 환산 유지: ${missing.join(', ') || '없음'}`);
diff --git a/scripts/calculate-sus-score-formula.mjs b/scripts/calculate-sus-score-formula.mjs
new file mode 100644
index 0000000..244f04d
--- /dev/null
+++ b/scripts/calculate-sus-score-formula.mjs
@@ -0,0 +1,23 @@
+// node scripts/calculate-sus-score-formula.mjs data/raw/sus/chart_m0341_expert.sus
+import { readFile } from 'node:fs/promises';
+import { createHash } from 'node:crypto';
+import { basename } from 'node:path';
+import { susScoreWeight } from './sus-score-weight.mjs';
+import { scoreRatioFromFormula } from '../src/lib/engine/score.ts';
+
+const file = process.argv[2];
+if (!file) throw new Error('원본 SUS 경로를 지정하세요.');
+const bytes = await readFile(file);
+const result = susScoreWeight(bytes.toString('utf8'));
+const difficulty = basename(file).match(/_(easy|normal|hard|expert)\.sus$/)?.[1];
+const reference = JSON.parse(await readFile(new URL('../docs/research/song-score-formula-reference.json', import.meta.url), 'utf8'));
+const catalog = JSON.parse(await readFile(new URL('../src/lib/data/exact-chart-catalog.json', import.meta.url), 'utf8'));
+const chart = catalog.charts.find((row) => row.songId === result.songId && row.difficulty === difficulty);
+const song = reference.charts.find((row) => row.songId === result.songId);
+if (!chart || !song) throw new Error('카탈로그 난이도 또는 곡별 계수를 찾지 못했습니다.');
+const local = JSON.parse(await readFile(new URL(`../static${chart.path}`, import.meta.url), 'utf8'));
+const susSha256 = createHash('sha256').update(bytes).digest('hex');
+if (local.source?.susSha256 !== susSha256 || local.notes.length !== result.fullComboNoteCount) throw new Error('현재 서비스와 다른 원본 채보입니다.');
+// SUS SCORE_LEVEL is editor metadata; use the published master difficulty level.
+const formula = { perfectNoteWeight: result.perfectNoteWeight, liveScoreCoefficientPermil: song.liveScoreCoefficientPermil, difficultyLevel: chart.difficultyLevel };
+console.log(JSON.stringify({ ...result, difficulty, susSha256, ...formula, scoreRatio: scoreRatioFromFormula(formula) }, null, 2));
diff --git a/scripts/collect-exact-charts.mjs b/scripts/collect-exact-charts.mjs
index e340b36..396fa89 100644
--- a/scripts/collect-exact-charts.mjs
+++ b/scripts/collect-exact-charts.mjs
@@ -1,6 +1,7 @@
import { mkdir, readFile, writeFile } from 'node:fs/promises';
import { execFileSync } from 'node:child_process';
import path from 'node:path';
+import { formulaScoreMetadata } from './song-score-formulas.mjs';
const sourceOrigin = process.argv[2] ?? 'https://dreams.wf-calc.net';
const outputDirectory = path.resolve('static/data/charts');
@@ -237,14 +238,18 @@ async function worker() {
const releaseTime = Number(music?.startTime);
const notes = flattenEvents(chartData);
const measuredCalibration = scoreCalibrationByKey.get(`${item.songId}::${item.difficulty.toLowerCase()}`);
+ const difficultyLevel = difficultyLevelByKey.get(`${item.songId}::${item.difficulty.toLowerCase()}`) ??
+ (Number.isFinite(item.difficultyLevel) ? item.difficultyLevel : null);
+ const formulaMetadata = formulaScoreMetadata(item.songId, item.difficulty, difficultyLevel, notes.length, music?.liveScoreCoefficientPermil, chartData.source?.sha256);
const output = {
schemaVersion: 1,
songId: item.songId,
difficulty: item.difficulty.toLowerCase(),
durationSeconds: sourceEntry?.durationSeconds ?? Math.ceil(notes.at(-1)?.timeSeconds ?? 0),
- // 실측이 있으면 우선하고, 없을 때만 채보 가중치와 계산기 고유 상수로 추정한다.
+ // 검증된 공식 우선. 참고 분모가 없는 채보만 기존 실측/추정으로 대체한다.
scoreRatio: measuredCalibration?.scoreRatio ?? calibratedScoreRatio(chartData),
scoreCalibrationSource: measuredCalibration ? 'measured' : 'local-estimated-v1',
+ ...formulaMetadata,
notes,
specialStartSeconds: (chartData.sp_activation_events ?? [])
.sort((left, right) => left.slot - right.slot)
@@ -268,6 +273,7 @@ async function worker() {
durationSeconds: output.durationSeconds,
scoreRatio: output.scoreRatio,
scoreCalibrationSource: output.scoreCalibrationSource,
+ ...(output.scoreFormula ? { scoreFormula: output.scoreFormula } : {}),
totalNotes: notes.length,
singerType: output.singerType,
singerCharacterIds: output.singerCharacterIds,
diff --git a/scripts/song-score-formulas.mjs b/scripts/song-score-formulas.mjs
new file mode 100644
index 0000000..6f71b68
--- /dev/null
+++ b/scripts/song-score-formulas.mjs
@@ -0,0 +1,25 @@
+import { readFile } from 'node:fs/promises';
+import { scoreRatioFromFormula } from '../src/lib/engine/score.ts';
+
+// Pinned research snapshot, with source URL, retrieval time and SHA-256.
+const reference = JSON.parse(await readFile(new URL('../docs/research/song-score-formula-reference.json', import.meta.url), 'utf8'));
+const susReference = JSON.parse(await readFile(new URL('../docs/research/sus-score-formulas.json', import.meta.url), 'utf8'));
+const rows = [...reference.charts, ...susReference.charts];
+const formulas = new Map(rows.map((row) => [`${row.songId}.${row.difficulty}`, row]));
+if (formulas.size !== rows.length) throw new Error('중복 악곡 점수 공식입니다.');
+
+export function formulaScoreMetadata(songId, difficulty, difficultyLevel, totalNotes, liveScoreCoefficientPermil, susSha256) {
+ const row = formulas.get(`${songId}.${difficulty.toLowerCase()}`);
+ if (!row) return null;
+ if (row.susSha256 && row.susSha256 !== susSha256) throw new Error(`${songId}.${difficulty}: 원본 SUS 해시가 다릅니다.`);
+ if (row.difficultyLevel !== difficultyLevel || row.fullComboNoteCount !== totalNotes ||
+ (liveScoreCoefficientPermil !== undefined && row.liveScoreCoefficientPermil !== liveScoreCoefficientPermil)) {
+ throw new Error(`${songId}.${difficulty}: 채보 또는 마스터 데이터가 점수 공식 참고값과 다릅니다.`);
+ }
+ const scoreFormula = {
+ perfectNoteWeight: row.perfectNoteWeight,
+ liveScoreCoefficientPermil: row.liveScoreCoefficientPermil,
+ difficultyLevel: row.difficultyLevel
+ };
+ return { scoreRatio: scoreRatioFromFormula(scoreFormula), scoreCalibrationSource: 'formula-v1', scoreFormula };
+}
diff --git a/scripts/sus-score-weight.mjs b/scripts/sus-score-weight.mjs
new file mode 100644
index 0000000..348ef2a
--- /dev/null
+++ b/scripts/sus-score-weight.mjs
@@ -0,0 +1,66 @@
+// Counts the score denominator, not a playable-note timeline.
+// SUS headers supply playable categories, including generated continuation ticks.
+// Body family 3 kinds 4/5 supply non-playable bezier / inactive relay points.
+const alphabet = '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ';
+const categories = ['NORMAL', 'FLICK', 'LONG_START', 'LONG_END', 'LONG_FLICK_END', 'LONG_RELAY', 'LONG_CONTINUE'];
+
+export function susScoreWeight(text) {
+ const headers = new Map();
+ let invisibleRelayCount = 0;
+ let bezierPointCount = 0;
+ let starts = 0, ends = 0, relays = 0;
+ for (const line of text.split(/\r?\n/)) {
+ const header = line.match(/^#([A-Z_]+)\s+(\S+)\s*$/);
+ if (header) {
+ if (headers.has(header[1])) throw new Error(`Duplicate SUS header: ${header[1]}`);
+ headers.set(header[1], header[2]);
+ }
+ const match = line.match(/^#\d{3}3[0-9a-zA-Z]{2}:(.*)$/);
+ if (!match) continue;
+ const body = match[1].trim();
+ // Repeated channel lines are additive; do not overwrite them in a map.
+ for (let index = 0; index < body.length;) {
+ if (body.startsWith('0x', index)) {
+ const run = body.slice(index + 2, index + 4);
+ if (run.length !== 2 || [...run].some((char) => !alphabet.includes(char))) throw new Error('Malformed SUS empty run');
+ index += 4; // Empty cells have no denominator contribution.
+ continue;
+ }
+ const token = body.slice(index, index + 2);
+ if (token.length !== 2 || [...token].some((char) => !alphabet.includes(char))) throw new Error('Malformed SUS note token');
+ const kind = token[0];
+ if (kind === '1') starts += 1;
+ else if (kind === '2') ends += 1;
+ else if (kind === '3') relays += 1;
+ else if (kind === '4') bezierPointCount += 1;
+ else if (kind === '5') invisibleRelayCount += 1;
+ else if (kind !== '0') throw new Error(`Unsupported SUS hold kind: ${kind}`);
+ index += 2;
+ }
+ }
+ function integer(name) {
+ const raw = headers.get(name);
+ if (!raw || !/^\d+$/.test(raw) || !Number.isSafeInteger(Number(raw))) throw new Error(`Invalid SUS header: ${name}`);
+ return Number(raw);
+ }
+ const counts = Object.fromEntries(categories.map((kind) => [kind, integer(`${kind}_NOTE_COUNT`)]));
+ // Ghosts are visual guides, not invisible hold relays; they add no score weight.
+ integer('GHOST_NOTE_COUNT');
+ for (const unsupported of ['DAMAGE_NOTE_COUNT']) {
+ if (integer(unsupported) !== 0) throw new Error(`Unsupported scoring category: ${unsupported}`);
+ }
+ const fullComboNoteCount = integer('FULL_COMBO_NOTE_COUNT');
+ if (Object.values(counts).reduce((sum, count) => sum + count, 0) !== fullComboNoteCount ||
+ integer('TOTAL_NOTE_COUNT') !== fullComboNoteCount + integer('GHOST_NOTE_COUNT') ||
+ starts !== counts.LONG_START || ends !== counts.LONG_END + counts.LONG_FLICK_END || relays !== counts.LONG_RELAY) {
+ throw new Error('SUS header/body category mismatch');
+ }
+ const songId = headers.get('MUSIC_ID');
+ if (!songId || !/^m\d{4}$/.test(songId)) throw new Error('Invalid SUS music ID');
+ const baseWeight = 1000 * (counts.NORMAL + counts.LONG_START + counts.LONG_END + counts.LONG_FLICK_END)
+ + 1050 * counts.FLICK + 100 * (counts.LONG_RELAY + counts.LONG_CONTINUE);
+ return {
+ songId, fullComboNoteCount, counts, invisibleRelayCount, bezierPointCount, baseWeight,
+ perfectNoteWeight: baseWeight + 100 * (invisibleRelayCount + bezierPointCount)
+ };
+}
diff --git a/scripts/sus-score-weight.test.mjs b/scripts/sus-score-weight.test.mjs
new file mode 100644
index 0000000..269a391
--- /dev/null
+++ b/scripts/sus-score-weight.test.mjs
@@ -0,0 +1,37 @@
+import assert from 'node:assert/strict';
+import test from 'node:test';
+import { susScoreWeight } from './sus-score-weight.mjs';
+
+const text = `#MUSIC_ID m0001
+#FULL_COMBO_NOTE_COUNT 7
+#TOTAL_NOTE_COUNT 7
+#NORMAL_NOTE_COUNT 1
+#FLICK_NOTE_COUNT 1
+#LONG_START_NOTE_COUNT 1
+#LONG_END_NOTE_COUNT 0
+#LONG_FLICK_END_NOTE_COUNT 1
+#LONG_RELAY_NOTE_COUNT 1
+#LONG_CONTINUE_NOTE_COUNT 2
+#DAMAGE_NOTE_COUNT 0
+#GHOST_NOTE_COUNT 0
+#000320:140x0K3454
+#000320:0xft4424
+#00052:1c
+`;
+test('비가시·베지어는 분모에만 포함하고 끝 플릭은 1000으로 집계한다', () => {
+ const result = susScoreWeight(text);
+ assert.equal(result.fullComboNoteCount, 7);
+ assert.equal(result.baseWeight, 4350);
+ assert.equal(result.invisibleRelayCount, 1);
+ assert.equal(result.bezierPointCount, 1);
+ assert.equal(result.perfectNoteWeight, 4550);
+});
+test('잘린 토큰·미지원 종류·헤더 불일치는 잘못된 분모 대신 실패한다', () => {
+ for (const changed of [text.replace('0xft', '0x!t'), text + '#001320:4', text + '#001320:64', text.replace('LONG_START_NOTE_COUNT 1', 'LONG_START_NOTE_COUNT 2')]) {
+ assert.throws(() => susScoreWeight(changed));
+ }
+});
+test('고스트 가이드는 총 오브젝트 수에는 포함하지만 점수 분모에는 포함하지 않는다', () => {
+ const withGhost = text.replace('GHOST_NOTE_COUNT 0', 'GHOST_NOTE_COUNT 2').replace('TOTAL_NOTE_COUNT 7', 'TOTAL_NOTE_COUNT 9');
+ assert.equal(susScoreWeight(withGhost).perfectNoteWeight, 4550);
+});
diff --git a/scripts/validate-song-score-formula.mjs b/scripts/validate-song-score-formula.mjs
new file mode 100644
index 0000000..0c67feb
--- /dev/null
+++ b/scripts/validate-song-score-formula.mjs
@@ -0,0 +1,99 @@
+// Read-only comparison: this does not replace production scoreRatio values.
+// Run: node scripts/validate-song-score-formula.mjs
+import assert from 'node:assert/strict';
+import { readFile } from 'node:fs/promises';
+import { fileURLToPath } from 'node:url';
+import { scoreRatioFromFormula, finalNoteScore } from '../src/lib/engine/score.ts';
+
+const root = new URL('../', import.meta.url);
+const read = async (relative) => JSON.parse(await readFile(new URL(relative, root), 'utf8'));
+const reference = await read('docs/research/song-score-formula-reference.json');
+const susReference = await read('docs/research/sus-score-formulas.json');
+const calibrations = await read('data/score-calibrations.json');
+const catalog = await read('src/lib/data/exact-chart-catalog.json');
+const key = (row) => `${row.songId}.${row.difficulty}`;
+const referenceRows = [...reference.charts, ...susReference.charts];
+const byKey = new Map(referenceRows.map((row) => [key(row), row]));
+assert.equal(byKey.size, referenceRows.length, 'Duplicate reference chart');
+
+function ratio(row) {
+ assert.ok(Number.isInteger(row.perfectNoteWeight) && row.perfectNoteWeight > 0);
+ const coefficient = 2.3 * (1 + row.liveScoreCoefficientPermil / 1000 * (row.difficultyLevel - 5));
+ assert.ok(coefficient > 0);
+ return row.perfectNoteWeight / 1000 / coefficient;
+}
+
+// Exact rational ceiling for the documented formula; no fitted ratios or epsilon.
+function predict(measurement, row) {
+ const bonusScaled = Math.round(measurement.directSongScoreBonusPercent * 100);
+ assert.ok(Math.abs(bonusScaled / 100 - measurement.directSongScoreBonusPercent) < 1e-10);
+ assert.ok(Number.isInteger(measurement.overallPower));
+ const numerator = BigInt(measurement.overallPower) * 23n
+ * BigInt(1000 + row.liveScoreCoefficientPermil * (row.difficultyLevel - 5))
+ * BigInt(10000 + bonusScaled);
+ const denominator = 10n * BigInt(row.perfectNoteWeight) * 10000n;
+ return Number((numerator + denominator - 1n) / denominator);
+}
+
+const measuredRows = [];
+for (const calibration of calibrations.charts) {
+ const ref = byKey.get(key(calibration));
+ assert.ok(ref, `Missing measured reference: ${key(calibration)}`);
+ const predictions = calibration.measurements.map((measurement) => {
+ const predicted = predict(measurement, ref);
+ // ceil(A / R) = S implies R in [A/S, A/(S-1)).
+ const amount = measurement.overallPower * (1 + measurement.directSongScoreBonusPercent / 100);
+ const lower = amount / measurement.normalPerfectScore;
+ const upperExclusive = amount / (measurement.normalPerfectScore - 1);
+ assert.ok(ratio(ref) >= lower && ratio(ref) < upperExclusive, `Ratio outside measured interval: ${key(calibration)}`);
+ assert.equal(predicted, measurement.normalPerfectScore, `Measured score mismatch: ${key(calibration)}`);
+ assert.equal(finalNoteScore(measurement.overallPower / scoreRatioFromFormula(ref), measurement.directSongScoreBonusPercent), predicted,
+ `Production engine mismatch: ${key(calibration)}`);
+ return { ...measurement, predicted, ratioInterval: { lower, upperExclusive } };
+ });
+ measuredRows.push({ key: key(calibration), researchRatio: ratio(ref), storedRatio: calibration.scoreRatio, predictions });
+}
+
+const missing = [], comparisons = [], noteDiagnostics = [];
+for (const chart of catalog.charts) {
+ const ref = byKey.get(key(chart));
+ if (!ref) { missing.push(key(chart)); continue; }
+ assert.equal(chart.difficultyLevel, ref.difficultyLevel, `Difficulty mismatch: ${key(chart)}`);
+ const local = await read(`static${chart.path}`);
+ assert.equal(chart.scoreCalibrationSource, 'formula-v1', `Formula not applied: ${key(chart)}`);
+ assert.equal(chart.scoreRatio, scoreRatioFromFormula(ref));
+ assert.equal(local.scoreRatio, chart.scoreRatio);
+ assert.deepEqual(local.scoreFormula, chart.scoreFormula);
+ assert.equal(local.notes.length, ref.fullComboNoteCount, `Combo count mismatch: ${key(chart)}`);
+ const localWeight = local.notes.reduce((sum, note) => sum + (note.type === 'mid' ? 100 : note.isFlick ? 1050 : 1000), 0);
+ noteDiagnostics.push({
+ key: key(chart), localWeight, referencePlayableWeight: ref.baseWeight,
+ referenceDenominator: ref.perfectNoteWeight,
+ nonPlayableWeight: ref.perfectNoteWeight - ref.baseWeight,
+ playableClassificationDifference: localWeight - ref.baseWeight
+ });
+ comparisons.push({ key: key(chart), title: chart.title, source: chart.scoreCalibrationSource,
+ // Positive means the current unrounded base score is higher than research.
+ currentScoreRelativeToResearchPercent: 100 * (ratio(ref) / chart.scoreRatio - 1) });
+}
+
+const comparisonBySource = Object.fromEntries(Object.entries(Object.groupBy(comparisons, (row) => row.source)).map(([source, rows]) => {
+ const ordered = rows.toSorted((a, b) => a.currentScoreRelativeToResearchPercent - b.currentScoreRelativeToResearchPercent);
+ return [source, { count: rows.length,
+ meanAbsoluteDifferencePercent: rows.reduce((sum, row) => sum + Math.abs(row.currentScoreRelativeToResearchPercent), 0) / rows.length,
+ over5Percent: rows.filter((row) => Math.abs(row.currentScoreRelativeToResearchPercent) > 5).length,
+ over10Percent: rows.filter((row) => Math.abs(row.currentScoreRelativeToResearchPercent) > 10).length,
+ minimum: ordered[0], maximum: ordered.at(-1) }];
+}));
+const report = {
+ reference: fileURLToPath(new URL('docs/research/song-score-formula-reference.json', root)),
+ source: reference.source,
+ measuredSongs: new Set(calibrations.charts.map((row) => row.songId)).size,
+ measuredCharts: measuredRows.length,
+ exactMeasurements: measuredRows.reduce((sum, row) => sum + row.predictions.length, 0),
+ catalogCharts: catalog.charts.length, coveredCharts: comparisons.length, missing,
+ comparisonBySource,
+ measuredRows,
+ measuredNoteDiagnostics: noteDiagnostics.filter((row) => measuredRows.some((measured) => measured.key === row.key))
+};
+console.log(JSON.stringify(report, null, 2));
diff --git a/scripts/validate-sus-score-formulas.mjs b/scripts/validate-sus-score-formulas.mjs
new file mode 100644
index 0000000..4704164
--- /dev/null
+++ b/scripts/validate-sus-score-formulas.mjs
@@ -0,0 +1,21 @@
+import assert from 'node:assert/strict';
+import { readFile } from 'node:fs/promises';
+import { createHash } from 'node:crypto';
+import path from 'node:path';
+import { susScoreWeight } from './sus-score-weight.mjs';
+
+const record = JSON.parse(await readFile(new URL('../docs/research/sus-score-formulas.json', import.meta.url), 'utf8'));
+const directory = process.argv[2] ?? 'data/raw/sus';
+for (const row of [...record.validationCharts, ...record.charts]) {
+ const bytes = await readFile(path.join(directory, `chart_${row.songId}_${row.difficulty}.sus`));
+ assert.equal(createHash('sha256').update(bytes).digest('hex'), row.susSha256);
+ const actual = susScoreWeight(bytes.toString('utf8'));
+ assert.equal(actual.songId, row.songId);
+ assert.equal(actual.perfectNoteWeight, row.perfectNoteWeight, `${row.songId}.${row.difficulty}`);
+ if (row.counts) {
+ assert.deepEqual(actual.counts, row.counts);
+ assert.equal(actual.invisibleRelayCount, row.invisibleRelayCount);
+ assert.equal(actual.bezierPointCount, row.bezierPointCount);
+ }
+}
+console.log(`${record.validationCharts.length}개 기존 분모와 ${record.charts.length}개 신규 SUS 분모를 재현했습니다.`);
diff --git a/src/lib/data/exact-chart-catalog.json b/src/lib/data/exact-chart-catalog.json
index 39a933e..83ad53f 100644
--- a/src/lib/data/exact-chart-catalog.json
+++ b/src/lib/data/exact-chart-catalog.json
@@ -8,13 +8,18 @@
"difficulty": "expert",
"difficultyLevel": 22,
"durationSeconds": 100,
- "scoreRatio": 178.1882937924613,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 190.80768604461815,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 664,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0001.expert.json"
+ "path": "/data/charts/m0001.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 468700,
+ "liveScoreCoefficientPermil": 4,
+ "difficultyLevel": 22
+ }
},
{
"songId": "m0001",
@@ -22,13 +27,18 @@
"difficulty": "hard",
"difficultyLevel": 16,
"durationSeconds": 100,
- "scoreRatio": 122.022868271757,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 133.57904381142762,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 495,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0001.hard.json"
+ "path": "/data/charts/m0001.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 320750,
+ "liveScoreCoefficientPermil": 4,
+ "difficultyLevel": 16
+ }
},
{
"songId": "m0002",
@@ -36,13 +46,18 @@
"difficulty": "expert",
"difficultyLevel": 24,
"durationSeconds": 110,
- "scoreRatio": 220.1127667927078,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 228.947793761112,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 816,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0002.expert.json"
+ "path": "/data/charts/m0002.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 566600,
+ "liveScoreCoefficientPermil": 4,
+ "difficultyLevel": 24
+ }
},
{
"songId": "m0002",
@@ -50,13 +65,18 @@
"difficulty": "hard",
"difficultyLevel": 17,
"durationSeconds": 110,
- "scoreRatio": 148.74090044507707,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 158.1480252240292,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 608,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0002.hard.json"
+ "path": "/data/charts/m0002.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 381200,
+ "liveScoreCoefficientPermil": 4,
+ "difficultyLevel": 17
+ }
},
{
"songId": "m0003",
@@ -64,13 +84,18 @@
"difficulty": "expert",
"difficultyLevel": 25,
"durationSeconds": 102,
- "scoreRatio": 231.99569979543494,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 235.9310910582445,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 777,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0003.expert.json"
+ "path": "/data/charts/m0003.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 575200,
+ "liveScoreCoefficientPermil": 3,
+ "difficultyLevel": 25
+ }
},
{
"songId": "m0003",
@@ -78,13 +103,18 @@
"difficulty": "hard",
"difficultyLevel": 17,
"durationSeconds": 102,
- "scoreRatio": 144.210532237787,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 159.07755581668624,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 522,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0003.hard.json"
+ "path": "/data/charts/m0003.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 379050,
+ "liveScoreCoefficientPermil": 3,
+ "difficultyLevel": 17
+ }
},
{
"songId": "m0004",
@@ -92,13 +122,18 @@
"difficulty": "expert",
"difficultyLevel": 24,
"durationSeconds": 109,
- "scoreRatio": 260.3105010909966,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 253.49523193793436,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 892,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0004.expert.json"
+ "path": "/data/charts/m0004.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 627350,
+ "liveScoreCoefficientPermil": 4,
+ "difficultyLevel": 24
+ }
},
{
"songId": "m0004",
@@ -106,13 +141,18 @@
"difficulty": "hard",
"difficultyLevel": 17,
"durationSeconds": 109,
- "scoreRatio": 157.5231306174059,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 171.34085628941253,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 620,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0004.hard.json"
+ "path": "/data/charts/m0004.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 413000,
+ "liveScoreCoefficientPermil": 4,
+ "difficultyLevel": 17
+ }
},
{
"songId": "m0005",
@@ -120,13 +160,18 @@
"difficulty": "expert",
"difficultyLevel": 23,
"durationSeconds": 103,
- "scoreRatio": 195.6599187230336,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 201.81700194678783,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 685,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0005.expert.json"
+ "path": "/data/charts/m0005.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 497600,
+ "liveScoreCoefficientPermil": 4,
+ "difficultyLevel": 23
+ }
},
{
"songId": "m0005",
@@ -134,13 +179,18 @@
"difficulty": "hard",
"difficultyLevel": 17,
"durationSeconds": 103,
- "scoreRatio": 138.93748071782704,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 149.62246929970127,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 559,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0005.hard.json"
+ "path": "/data/charts/m0005.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 360650,
+ "liveScoreCoefficientPermil": 4,
+ "difficultyLevel": 17
+ }
},
{
"songId": "m0006",
@@ -148,13 +198,18 @@
"difficulty": "expert",
"difficultyLevel": 24,
"durationSeconds": 108,
- "scoreRatio": 234.6507926382322,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 241.89001389716103,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 777,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0006.expert.json"
+ "path": "/data/charts/m0006.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 609200,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 24
+ }
},
{
"songId": "m0006",
@@ -162,13 +217,18 @@
"difficulty": "hard",
"difficultyLevel": 19,
"durationSeconds": 108,
- "scoreRatio": 164.00304252045547,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 178.4843559528647,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 588,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0006.hard.json"
+ "path": "/data/charts/m0006.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 439250,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 19
+ }
},
{
"songId": "m0007",
@@ -176,13 +236,18 @@
"difficulty": "expert",
"difficultyLevel": 25,
"durationSeconds": 110,
- "scoreRatio": 263.4297710042125,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 277.7173913043478,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 883,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0007.expert.json"
+ "path": "/data/charts/m0007.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 689850,
+ "liveScoreCoefficientPermil": 4,
+ "difficultyLevel": 25
+ }
},
{
"songId": "m0007",
@@ -190,13 +255,18 @@
"difficulty": "hard",
"difficultyLevel": 18,
"durationSeconds": 110,
- "scoreRatio": 173.3608522601036,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 180.79434617292114,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 650,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0007.hard.json"
+ "path": "/data/charts/m0007.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 437450,
+ "liveScoreCoefficientPermil": 4,
+ "difficultyLevel": 18
+ }
},
{
"songId": "m0008",
@@ -204,13 +274,18 @@
"difficulty": "expert",
"difficultyLevel": 27,
"durationSeconds": 137,
- "scoreRatio": 344.7350266588101,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 373.9293580226772,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 1146,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m0008.expert.json"
+ "path": "/data/charts/m0008.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 916800,
+ "liveScoreCoefficientPermil": 3,
+ "difficultyLevel": 27
+ }
},
{
"songId": "m0008",
@@ -218,13 +293,18 @@
"difficulty": "hard",
"difficultyLevel": 17,
"durationSeconds": 137,
- "scoreRatio": 196.01269329655264,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 218.94409937888202,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 758,
"singerType": "all",
"singerCharacterIds": [],
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@@ -232,15 +312,20 @@
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"songId": "m0009",
@@ -248,15 +333,20 @@
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@@ -264,15 +354,20 @@
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@@ -280,15 +375,20 @@
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@@ -296,15 +396,20 @@
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@@ -312,15 +417,20 @@
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@@ -328,15 +438,20 @@
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@@ -344,15 +459,20 @@
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@@ -360,15 +480,20 @@
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@@ -376,15 +501,20 @@
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@@ -392,15 +522,20 @@
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@@ -408,15 +543,20 @@
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@@ -424,15 +564,20 @@
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@@ -440,15 +585,20 @@
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@@ -456,15 +606,20 @@
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@@ -472,15 +627,20 @@
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@@ -488,15 +648,20 @@
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@@ -504,15 +669,20 @@
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@@ -520,15 +690,20 @@
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@@ -536,15 +711,20 @@
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@@ -552,15 +732,20 @@
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@@ -568,15 +753,20 @@
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@@ -584,15 +774,20 @@
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@@ -600,15 +795,20 @@
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@@ -616,15 +816,20 @@
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@@ -632,15 +837,20 @@
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@@ -648,15 +858,20 @@
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@@ -664,15 +879,20 @@
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@@ -680,15 +900,20 @@
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@@ -696,15 +921,20 @@
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@@ -712,15 +942,20 @@
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@@ -728,15 +963,20 @@
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@@ -776,15 +1026,20 @@
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@@ -808,15 +1068,20 @@
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@@ -824,15 +1089,20 @@
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@@ -840,15 +1110,20 @@
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@@ -856,15 +1131,20 @@
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@@ -872,15 +1152,20 @@
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@@ -904,15 +1194,20 @@
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@@ -920,15 +1215,20 @@
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@@ -936,15 +1236,20 @@
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@@ -952,15 +1257,20 @@
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@@ -968,15 +1278,20 @@
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@@ -1000,15 +1320,20 @@
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@@ -1016,15 +1341,20 @@
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@@ -1032,15 +1362,20 @@
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@@ -1064,15 +1404,20 @@
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@@ -1080,15 +1425,20 @@
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@@ -1096,15 +1446,20 @@
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@@ -1112,15 +1467,20 @@
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@@ -1128,15 +1488,20 @@
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@@ -1144,15 +1509,20 @@
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@@ -1160,15 +1530,20 @@
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@@ -1176,15 +1551,20 @@
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@@ -1192,15 +1572,20 @@
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@@ -1224,15 +1614,20 @@
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@@ -1256,15 +1656,20 @@
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@@ -1272,15 +1677,20 @@
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@@ -1288,15 +1698,20 @@
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@@ -1320,8 +1740,8 @@
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@@ -1329,7 +1749,12 @@
"chr-04017"
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@@ -1337,8 +1762,8 @@
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@@ -1346,7 +1771,12 @@
"chr-04017"
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@@ -1354,15 +1784,20 @@
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@@ -1370,15 +1805,20 @@
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@@ -1386,15 +1826,20 @@
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@@ -1402,15 +1847,20 @@
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@@ -1418,15 +1868,20 @@
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@@ -1434,15 +1889,20 @@
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@@ -1450,15 +1910,20 @@
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@@ -1466,15 +1931,20 @@
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@@ -1482,15 +1952,20 @@
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@@ -1498,15 +1973,20 @@
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@@ -1514,15 +1994,20 @@
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@@ -1530,15 +2015,20 @@
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@@ -1546,15 +2036,20 @@
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@@ -1562,15 +2057,20 @@
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@@ -1578,15 +2078,20 @@
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@@ -1594,15 +2099,20 @@
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@@ -1610,15 +2120,20 @@
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@@ -1626,15 +2141,20 @@
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@@ -1642,15 +2162,20 @@
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@@ -1658,15 +2183,20 @@
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@@ -1674,15 +2204,20 @@
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@@ -1690,15 +2225,20 @@
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@@ -1706,15 +2246,20 @@
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@@ -1722,15 +2267,20 @@
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@@ -1738,15 +2288,20 @@
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@@ -1754,15 +2309,20 @@
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@@ -1770,15 +2330,20 @@
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@@ -1802,15 +2372,20 @@
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@@ -1818,15 +2393,20 @@
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@@ -1834,15 +2414,20 @@
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@@ -1850,15 +2435,20 @@
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@@ -1866,15 +2456,20 @@
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@@ -1882,15 +2477,20 @@
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@@ -1898,15 +2498,20 @@
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@@ -1914,15 +2519,20 @@
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@@ -1930,15 +2540,20 @@
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@@ -1946,15 +2561,20 @@
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@@ -1962,15 +2582,20 @@
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@@ -1978,15 +2603,20 @@
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@@ -1994,15 +2624,20 @@
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@@ -2010,15 +2645,20 @@
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@@ -2026,15 +2666,20 @@
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@@ -2042,15 +2687,20 @@
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@@ -2058,15 +2708,20 @@
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+ "path": "/data/charts/m0090.expert.json",
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@@ -2074,15 +2729,20 @@
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+ "path": "/data/charts/m0090.hard.json",
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@@ -2090,15 +2750,20 @@
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@@ -2106,15 +2771,20 @@
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+ "path": "/data/charts/m0091.hard.json",
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@@ -2122,15 +2792,20 @@
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+ "path": "/data/charts/m0092.expert.json",
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@@ -2138,15 +2813,20 @@
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+ "path": "/data/charts/m0092.hard.json",
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@@ -2154,15 +2834,20 @@
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+ "path": "/data/charts/m0094.expert.json",
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@@ -2170,15 +2855,20 @@
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@@ -2186,15 +2876,20 @@
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+ "path": "/data/charts/m0095.expert.json",
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@@ -2202,15 +2897,20 @@
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+ "path": "/data/charts/m0095.hard.json",
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{
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@@ -2218,15 +2918,20 @@
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+ "path": "/data/charts/m0097.expert.json",
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@@ -2234,15 +2939,20 @@
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@@ -2250,15 +2960,20 @@
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@@ -2410,15 +3170,20 @@
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@@ -2442,15 +3212,20 @@
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@@ -2458,15 +3233,20 @@
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@@ -2474,15 +3254,20 @@
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@@ -2490,15 +3275,20 @@
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@@ -2506,15 +3296,20 @@
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@@ -2522,15 +3317,20 @@
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@@ -2538,15 +3338,20 @@
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@@ -2554,15 +3359,20 @@
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@@ -2570,15 +3380,20 @@
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@@ -2586,15 +3401,20 @@
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@@ -2602,15 +3422,20 @@
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@@ -2618,15 +3443,20 @@
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@@ -2634,15 +3464,20 @@
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@@ -2650,15 +3485,20 @@
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@@ -2666,15 +3506,20 @@
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@@ -2682,15 +3527,20 @@
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@@ -2698,15 +3548,20 @@
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@@ -2714,15 +3569,20 @@
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@@ -2730,15 +3590,20 @@
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@@ -2746,15 +3611,20 @@
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@@ -2762,15 +3632,20 @@
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"releaseTime": 1672498800000,
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"songId": "m0117",
@@ -2778,15 +3653,20 @@
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@@ -2794,15 +3674,20 @@
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"songId": "m0120",
@@ -2810,15 +3695,20 @@
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@@ -2826,15 +3716,20 @@
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"songId": "m0121",
@@ -2842,15 +3737,20 @@
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"releaseTime": 1672498800000,
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@@ -2858,15 +3758,20 @@
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"songId": "m0122",
@@ -2874,15 +3779,20 @@
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"releaseTime": 1672498800000,
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@@ -2890,15 +3800,20 @@
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@@ -2906,15 +3821,20 @@
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"releaseTime": 1672498800000,
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@@ -2922,15 +3842,20 @@
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@@ -2938,15 +3863,20 @@
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@@ -2954,15 +3884,20 @@
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@@ -2970,15 +3905,20 @@
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@@ -2986,15 +3926,20 @@
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@@ -3002,15 +3947,20 @@
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@@ -3018,15 +3968,20 @@
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+ "path": "/data/charts/m0129.expert.json",
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@@ -3034,15 +3989,20 @@
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"releaseTime": 1672498800000,
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+ "path": "/data/charts/m0129.hard.json",
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@@ -3050,15 +4010,20 @@
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"releaseTime": 1672498800000,
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+ "path": "/data/charts/m0131.expert.json",
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+ "liveScoreCoefficientPermil": 8,
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"songId": "m0131",
@@ -3066,15 +4031,20 @@
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"releaseTime": 1672498800000,
- "path": "/data/charts/m0131.hard.json"
+ "path": "/data/charts/m0131.hard.json",
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{
"songId": "m0133",
@@ -3082,15 +4052,20 @@
"difficulty": "expert",
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"releaseTime": 1672498800000,
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+ "path": "/data/charts/m0133.expert.json",
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+ "difficultyLevel": 25
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{
"songId": "m0133",
@@ -3098,15 +4073,20 @@
"difficulty": "hard",
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"releaseTime": 1672498800000,
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+ "path": "/data/charts/m0133.hard.json",
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{
"songId": "m0134",
@@ -3114,15 +4094,20 @@
"difficulty": "expert",
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"releaseTime": 1672498800000,
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+ "path": "/data/charts/m0134.expert.json",
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{
"songId": "m0134",
@@ -3130,15 +4115,20 @@
"difficulty": "hard",
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"releaseTime": 1672498800000,
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+ "path": "/data/charts/m0134.hard.json",
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{
"songId": "m0135",
@@ -3146,13 +4136,18 @@
"difficulty": "expert",
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"releaseTime": 1672498800000,
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+ "path": "/data/charts/m0135.expert.json",
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+ "difficultyLevel": 23
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{
"songId": "m0135",
@@ -3160,13 +4155,18 @@
"difficulty": "hard",
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"releaseTime": 1672498800000,
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+ "path": "/data/charts/m0135.hard.json",
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{
"songId": "m0136",
@@ -3174,13 +4174,18 @@
"difficulty": "expert",
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+ "path": "/data/charts/m0136.expert.json",
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{
"songId": "m0136",
@@ -3188,13 +4193,18 @@
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+ "path": "/data/charts/m0136.hard.json",
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{
"songId": "m0137",
@@ -3202,13 +4212,18 @@
"difficulty": "expert",
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+ "path": "/data/charts/m0137.expert.json",
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{
"songId": "m0137",
@@ -3216,13 +4231,18 @@
"difficulty": "hard",
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+ "path": "/data/charts/m0137.hard.json",
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{
"songId": "m0138",
@@ -3230,15 +4250,20 @@
"difficulty": "expert",
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+ "path": "/data/charts/m0138.expert.json",
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{
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@@ -3246,15 +4271,20 @@
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@@ -3548,8 +4658,8 @@
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@@ -4534,15 +5924,20 @@
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@@ -4550,15 +5945,20 @@
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@@ -4566,15 +5966,20 @@
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@@ -4582,15 +5987,20 @@
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@@ -4598,15 +6008,20 @@
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@@ -4614,15 +6029,20 @@
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@@ -4630,15 +6050,20 @@
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@@ -4646,15 +6071,20 @@
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@@ -4662,15 +6092,20 @@
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@@ -4694,15 +6134,20 @@
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@@ -4710,15 +6155,20 @@
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@@ -4726,8 +6176,8 @@
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"chr-04017"
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@@ -4743,8 +6198,8 @@
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"chr-04017"
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@@ -4760,8 +6220,8 @@
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"chr-04017"
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@@ -4777,8 +6242,8 @@
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"chr-04017"
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@@ -4794,8 +6264,8 @@
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"chr-04017"
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@@ -4811,8 +6286,8 @@
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"chr-04017"
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@@ -4828,8 +6308,8 @@
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@@ -4837,7 +6317,12 @@
"chr-03002"
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"chr-03002"
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@@ -4966,15 +6486,20 @@
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@@ -4998,13 +6528,18 @@
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@@ -5026,13 +6566,18 @@
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@@ -5086,8 +6646,8 @@
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@@ -5095,7 +6655,12 @@
"chr-00013"
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@@ -5112,7 +6677,12 @@
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@@ -5120,15 +6690,20 @@
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@@ -5152,15 +6732,20 @@
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@@ -5184,8 +6774,8 @@
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"chr-04002"
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@@ -5201,8 +6796,8 @@
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@@ -5218,8 +6818,8 @@
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@@ -5252,8 +6862,8 @@
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@@ -5272,8 +6887,8 @@
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@@ -5292,15 +6912,20 @@
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@@ -5308,15 +6933,20 @@
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@@ -5324,15 +6954,20 @@
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@@ -5340,15 +6975,20 @@
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@@ -5356,15 +6996,20 @@
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@@ -5388,8 +7038,8 @@
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@@ -5398,7 +7048,12 @@
"chr-03006"
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@@ -5406,8 +7061,8 @@
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@@ -5416,7 +7071,12 @@
"chr-03006"
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@@ -5424,15 +7084,20 @@
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@@ -5440,15 +7105,20 @@
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@@ -5456,8 +7126,8 @@
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@@ -5465,7 +7135,12 @@
"chr-04012"
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@@ -5473,8 +7148,8 @@
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@@ -5482,7 +7157,12 @@
"chr-04012"
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@@ -5490,15 +7170,20 @@
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@@ -5506,15 +7191,20 @@
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@@ -5522,15 +7212,20 @@
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@@ -5538,15 +7233,20 @@
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@@ -5554,15 +7254,20 @@
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@@ -5570,15 +7275,20 @@
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@@ -5586,8 +7296,8 @@
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@@ -5595,7 +7305,12 @@
"chr-00018"
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@@ -5603,8 +7318,8 @@
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@@ -5612,7 +7327,12 @@
"chr-00018"
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@@ -5620,15 +7340,20 @@
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@@ -5636,15 +7361,20 @@
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@@ -5652,15 +7382,20 @@
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@@ -5668,15 +7403,20 @@
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@@ -5684,15 +7424,20 @@
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@@ -5700,15 +7445,20 @@
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@@ -5716,15 +7466,20 @@
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@@ -5732,15 +7487,20 @@
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@@ -5748,15 +7508,20 @@
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@@ -5764,15 +7529,20 @@
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@@ -5780,15 +7550,20 @@
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@@ -5796,15 +7571,20 @@
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@@ -5812,15 +7592,20 @@
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@@ -5828,15 +7613,20 @@
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@@ -5844,15 +7634,20 @@
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+ "path": "/data/charts/m0334.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 515500,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 23
+ }
},
{
"songId": "m0334",
@@ -5860,15 +7655,20 @@
"difficulty": "hard",
"difficultyLevel": 16,
"durationSeconds": 126,
- "scoreRatio": 147.96108296677286,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 156.45992169791882,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 536,
"singerType": "solo",
"singerCharacterIds": [
"chr-04001"
],
"releaseTime": 1786964400000,
- "path": "/data/charts/m0334.hard.json"
+ "path": "/data/charts/m0334.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 379650,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 16
+ }
},
{
"songId": "m0335",
@@ -5876,15 +7676,20 @@
"difficulty": "expert",
"difficultyLevel": 27,
"durationSeconds": 129,
- "scoreRatio": 418.6877175179703,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 410.00783392087743,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 1173,
"singerType": "solo",
"singerCharacterIds": [
"chr-03004"
],
"releaseTime": 1787310000000,
- "path": "/data/charts/m0335.expert.json"
+ "path": "/data/charts/m0335.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 1046750,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 27
+ }
},
{
"songId": "m0335",
@@ -5892,15 +7697,20 @@
"difficulty": "hard",
"difficultyLevel": 19,
"durationSeconds": 129,
- "scoreRatio": 250.28427636994508,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 248.96383583908982,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 753,
"singerType": "solo",
"singerCharacterIds": [
"chr-03004"
],
"releaseTime": 1787310000000,
- "path": "/data/charts/m0335.hard.json"
+ "path": "/data/charts/m0335.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 612700,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 19
+ }
},
{
"songId": "m0336",
@@ -5908,15 +7718,20 @@
"difficulty": "expert",
"difficultyLevel": 28,
"durationSeconds": 117,
- "scoreRatio": 250.46994719811218,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 269.5847143692728,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 879,
"singerType": "solo",
"singerCharacterIds": [
"chr-04003"
],
"releaseTime": 1787655600000,
- "path": "/data/charts/m0336.expert.json"
+ "path": "/data/charts/m0336.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 691350,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 28
+ }
},
{
"songId": "m0336",
@@ -5924,15 +7739,20 @@
"difficulty": "hard",
"difficultyLevel": 18,
"durationSeconds": 117,
- "scoreRatio": 152.06440826927724,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 149.05082669932642,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 611,
"singerType": "solo",
"singerCharacterIds": [
"chr-04003"
],
"releaseTime": 1787655600000,
- "path": "/data/charts/m0336.hard.json"
+ "path": "/data/charts/m0336.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 365100,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 18
+ }
},
{
"songId": "m0337",
@@ -5940,15 +7760,20 @@
"difficulty": "expert",
"difficultyLevel": 26,
"durationSeconds": 116,
- "scoreRatio": 352.3660976964984,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 344.1865040330514,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 1209,
"singerType": "solo",
"singerCharacterIds": [
"chr-00007"
],
"releaseTime": 1784948400000,
- "path": "/data/charts/m0337.expert.json"
+ "path": "/data/charts/m0337.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 874750,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 26
+ }
},
{
"songId": "m0337",
@@ -5956,15 +7781,20 @@
"difficulty": "hard",
"difficultyLevel": 20,
"durationSeconds": 116,
- "scoreRatio": 248.09336059756774,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 220.14155712841256,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 914,
"singerType": "solo",
"singerCharacterIds": [
"chr-00007"
],
"releaseTime": 1784948400000,
- "path": "/data/charts/m0337.hard.json"
+ "path": "/data/charts/m0337.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 544300,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 20
+ }
},
{
"songId": "m0338",
@@ -5972,15 +7802,20 @@
"difficulty": "expert",
"difficultyLevel": 24,
"durationSeconds": 107,
- "scoreRatio": 248.5946718336193,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 259.04308119912645,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 853,
"singerType": "solo",
"singerCharacterIds": [
"chr-00006"
],
"releaseTime": 1787972400000,
- "path": "/data/charts/m0338.expert.json"
+ "path": "/data/charts/m0338.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 652400,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 24
+ }
},
{
"songId": "m0338",
@@ -5988,15 +7823,20 @@
"difficulty": "hard",
"difficultyLevel": 18,
"durationSeconds": 107,
- "scoreRatio": 168.62624614182903,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 174.07634211063484,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 606,
"singerType": "solo",
"singerCharacterIds": [
"chr-00006"
],
"releaseTime": 1787972400000,
- "path": "/data/charts/m0338.hard.json"
+ "path": "/data/charts/m0338.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 426400,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 18
+ }
},
{
"songId": "m0339",
@@ -6004,15 +7844,20 @@
"difficulty": "expert",
"difficultyLevel": 26,
"durationSeconds": 144,
- "scoreRatio": 234.03807890527895,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 236.607306103046,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 1014,
"singerType": "solo",
"singerCharacterIds": [
"chr-00014"
],
"releaseTime": 1787972400000,
- "path": "/data/charts/m0339.expert.json"
+ "path": "/data/charts/m0339.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 647050,
+ "liveScoreCoefficientPermil": 9,
+ "difficultyLevel": 26
+ }
},
{
"songId": "m0339",
@@ -6020,15 +7865,20 @@
"difficulty": "hard",
"difficultyLevel": 18,
"durationSeconds": 144,
- "scoreRatio": 147.1812654884691,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 144.99240979331285,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 676,
"singerType": "solo",
"singerCharacterIds": [
"chr-00014"
],
"releaseTime": 1787972400000,
- "path": "/data/charts/m0339.hard.json"
+ "path": "/data/charts/m0339.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 372500,
+ "liveScoreCoefficientPermil": 9,
+ "difficultyLevel": 18
+ }
},
{
"songId": "m0340",
@@ -6036,15 +7886,20 @@
"difficulty": "expert",
"difficultyLevel": 27,
"durationSeconds": 139,
- "scoreRatio": 417.573692548966,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 411.30043086564825,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 1364,
"singerType": "solo",
"singerCharacterIds": [
"chr-00016"
],
"releaseTime": 1787972400000,
- "path": "/data/charts/m0340.expert.json"
+ "path": "/data/charts/m0340.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 1050050,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 27
+ }
},
{
"songId": "m0340",
@@ -6052,15 +7907,20 @@
"difficulty": "hard",
"difficultyLevel": 20,
"durationSeconds": 139,
- "scoreRatio": 248.48326933671947,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 253.14459049544996,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 828,
"singerType": "solo",
"singerCharacterIds": [
"chr-00016"
],
"releaseTime": 1787972400000,
- "path": "/data/charts/m0340.hard.json"
+ "path": "/data/charts/m0340.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 625900,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 20
+ }
},
{
"songId": "m0341",
@@ -6068,15 +7928,20 @@
"difficulty": "expert",
"difficultyLevel": 28,
"durationSeconds": 104,
- "scoreRatio": 307.0995497892342,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 312.28309612010145,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 958,
"singerType": "solo",
"singerCharacterIds": [
"chr-00017"
],
"releaseTime": 1787972400000,
- "path": "/data/charts/m0341.expert.json"
+ "path": "/data/charts/m0341.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 800850,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 28
+ }
},
{
"songId": "m0341",
@@ -6084,15 +7949,20 @@
"difficulty": "hard",
"difficultyLevel": 21,
"durationSeconds": 104,
- "scoreRatio": 193.84034460699107,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 201.4291465378422,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 665,
"singerType": "solo",
"singerCharacterIds": [
"chr-00017"
],
"releaseTime": 1787972400000,
- "path": "/data/charts/m0341.hard.json"
+ "path": "/data/charts/m0341.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 500350,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 21
+ }
},
{
"songId": "m0342",
@@ -6100,8 +7970,8 @@
"difficulty": "expert",
"difficultyLevel": 26,
"durationSeconds": 166,
- "scoreRatio": 382.33336936275157,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 372.0859709639514,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 1158,
"singerType": "group",
"singerCharacterIds": [
@@ -6111,7 +7981,12 @@
"chr-00017"
],
"releaseTime": 1787972400000,
- "path": "/data/charts/m0342.expert.json"
+ "path": "/data/charts/m0342.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 981600,
+ "liveScoreCoefficientPermil": 7,
+ "difficultyLevel": 26
+ }
},
{
"songId": "m0342",
@@ -6119,8 +7994,8 @@
"difficulty": "hard",
"difficultyLevel": 22,
"durationSeconds": 166,
- "scoreRatio": 311.72275341060845,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 310.13715662276104,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 941,
"singerType": "group",
"singerCharacterIds": [
@@ -6130,7 +8005,12 @@
"chr-00017"
],
"releaseTime": 1787972400000,
- "path": "/data/charts/m0342.hard.json"
+ "path": "/data/charts/m0342.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 798200,
+ "liveScoreCoefficientPermil": 7,
+ "difficultyLevel": 22
+ }
},
{
"songId": "m0346",
@@ -6138,15 +8018,20 @@
"difficulty": "expert",
"difficultyLevel": 25,
"durationSeconds": 140,
- "scoreRatio": 291.9859443763916,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 297.71167048054923,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 922,
"singerType": "solo",
"singerCharacterIds": [
"chr-00027"
],
"releaseTime": 1786114800000,
- "path": "/data/charts/m0346.expert.json"
+ "path": "/data/charts/m0346.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 780600,
+ "liveScoreCoefficientPermil": 7,
+ "difficultyLevel": 25
+ }
},
{
"songId": "m0346",
@@ -6154,15 +8039,20 @@
"difficulty": "hard",
"difficultyLevel": 19,
"durationSeconds": 140,
- "scoreRatio": 212.63023241755351,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 217.74768353528154,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 726,
"singerType": "solo",
"singerCharacterIds": [
"chr-00027"
],
"releaseTime": 1786114800000,
- "path": "/data/charts/m0346.hard.json"
+ "path": "/data/charts/m0346.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 549900,
+ "liveScoreCoefficientPermil": 7,
+ "difficultyLevel": 19
+ }
},
{
"songId": "m0347",
@@ -6170,15 +8060,20 @@
"difficulty": "expert",
"difficultyLevel": 26,
"durationSeconds": 122,
- "scoreRatio": 299.4870458343627,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 304.6822742474917,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 931,
"singerType": "solo",
"singerCharacterIds": [
"chr-00005"
],
"releaseTime": 1786287600000,
- "path": "/data/charts/m0347.expert.json"
+ "path": "/data/charts/m0347.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 774350,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 26
+ }
},
{
"songId": "m0347",
@@ -6186,15 +8081,20 @@
"difficulty": "hard",
"difficultyLevel": 18,
"durationSeconds": 122,
- "scoreRatio": 173.3051510116522,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 185.9971422739335,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 531,
"singerType": "solo",
"singerCharacterIds": [
"chr-00005"
],
"releaseTime": 1786287600000,
- "path": "/data/charts/m0347.hard.json"
+ "path": "/data/charts/m0347.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 455600,
+ "liveScoreCoefficientPermil": 5,
+ "difficultyLevel": 18
+ }
},
{
"songId": "m0353",
@@ -6202,15 +8102,20 @@
"difficulty": "expert",
"difficultyLevel": 27,
"durationSeconds": 134,
- "scoreRatio": 327.3933713079544,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 325.16389119131946,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 953,
"singerType": "solo",
"singerCharacterIds": [
"chr-00014"
],
"releaseTime": 1787151600000,
- "path": "/data/charts/m0353.expert.json"
+ "path": "/data/charts/m0353.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 863050,
+ "liveScoreCoefficientPermil": 7,
+ "difficultyLevel": 27
+ }
},
{
"songId": "m0353",
@@ -6218,15 +8123,20 @@
"difficulty": "hard",
"difficultyLevel": 19,
"durationSeconds": 134,
- "scoreRatio": 204.12650848747617,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 193.79108260077612,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 641,
"singerType": "solo",
"singerCharacterIds": [
"chr-00014"
],
"releaseTime": 1787151600000,
- "path": "/data/charts/m0353.hard.json"
+ "path": "/data/charts/m0353.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 489400,
+ "liveScoreCoefficientPermil": 7,
+ "difficultyLevel": 19
+ }
},
{
"songId": "m0359",
@@ -6234,15 +8144,20 @@
"difficulty": "expert",
"difficultyLevel": 25,
"durationSeconds": 149,
- "scoreRatio": 293.73125016116785,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 263.082298136646,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 1100,
"singerType": "solo",
"singerCharacterIds": [
"chr-03008"
],
"releaseTime": 1788015600000,
- "path": "/data/charts/m0359.expert.json"
+ "path": "/data/charts/m0359.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 677700,
+ "liveScoreCoefficientPermil": 6,
+ "difficultyLevel": 25
+ }
},
{
"songId": "m0359",
@@ -6250,15 +8165,20 @@
"difficulty": "hard",
"difficultyLevel": 16,
"durationSeconds": 149,
- "scoreRatio": 167.67932491817436,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 176.01354107186557,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 719,
"singerType": "solo",
"singerCharacterIds": [
"chr-03008"
],
"releaseTime": 1788015600000,
- "path": "/data/charts/m0359.hard.json"
+ "path": "/data/charts/m0359.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 431550,
+ "liveScoreCoefficientPermil": 6,
+ "difficultyLevel": 16
+ }
},
{
"songId": "m0524",
@@ -6266,15 +8186,20 @@
"difficulty": "expert",
"difficultyLevel": 25,
"durationSeconds": 157,
- "scoreRatio": 363.89625612571,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 344.13418290854577,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 1240,
"singerType": "solo",
"singerCharacterIds": [
"chr-06002"
],
"releaseTime": 1785207600000,
- "path": "/data/charts/m0524.expert.json"
+ "path": "/data/charts/m0524.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 918150,
+ "liveScoreCoefficientPermil": 8,
+ "difficultyLevel": 25
+ }
},
{
"songId": "m0524",
@@ -6282,15 +8207,20 @@
"difficulty": "hard",
"difficultyLevel": 17,
"durationSeconds": 157,
- "scoreRatio": 222.09944465410172,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 224.0558552840368,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 754,
"singerType": "solo",
"singerCharacterIds": [
"chr-06002"
],
"releaseTime": 1785207600000,
- "path": "/data/charts/m0524.hard.json"
+ "path": "/data/charts/m0524.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 564800,
+ "liveScoreCoefficientPermil": 8,
+ "difficultyLevel": 17
+ }
},
{
"songId": "m9999",
@@ -6298,13 +8228,18 @@
"difficulty": "expert",
"difficultyLevel": 22,
"durationSeconds": 40,
- "scoreRatio": 62.97954491445486,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 67.54517478103052,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 267,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m9999.expert.json"
+ "path": "/data/charts/m9999.expert.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 171200,
+ "liveScoreCoefficientPermil": 6,
+ "difficultyLevel": 22
+ }
},
{
"songId": "m9999",
@@ -6312,13 +8247,18 @@
"difficulty": "hard",
"difficultyLevel": 16,
"durationSeconds": 40,
- "scoreRatio": 43.576943370939055,
- "scoreCalibrationSource": "local-estimated-v1",
+ "scoreRatio": 47.39375152948854,
+ "scoreCalibrationSource": "formula-v1",
"totalNotes": 188,
"singerType": "all",
"singerCharacterIds": [],
"releaseTime": 1672498800000,
- "path": "/data/charts/m9999.hard.json"
+ "path": "/data/charts/m9999.hard.json",
+ "scoreFormula": {
+ "perfectNoteWeight": 116200,
+ "liveScoreCoefficientPermil": 6,
+ "difficultyLevel": 16
+ }
}
]
}
diff --git a/src/lib/engine/score.ts b/src/lib/engine/score.ts
index b3f43d6..08ce892 100644
--- a/src/lib/engine/score.ts
+++ b/src/lib/engine/score.ts
@@ -18,6 +18,25 @@ type ActiveCandidate = {
// QUEEN 및 Our Promise Expert의 인게임 실측값으로 보정한 전역 환산 상수다.
export const CHART_SCORE_WEIGHT_COEFFICIENT = 0.3713416563352296;
+export type SongScoreFormula = {
+ /** 일반 PERFECT=1000 단위. 비가시 지점을 포함하며 득점 노트 합과 다르다. */
+ perfectNoteWeight: number;
+ liveScoreCoefficientPermil: number;
+ difficultyLevel: number;
+};
+
+export function scoreRatioFromFormula(formula: SongScoreFormula): number {
+ const { perfectNoteWeight, liveScoreCoefficientPermil, difficultyLevel } = formula;
+ if (!Number.isSafeInteger(perfectNoteWeight) || perfectNoteWeight <= 0 ||
+ !Number.isSafeInteger(liveScoreCoefficientPermil) || liveScoreCoefficientPermil < 0 ||
+ !Number.isSafeInteger(difficultyLevel) || difficultyLevel < 1) {
+ throw new Error('악곡 점수 공식의 입력값이 유효하지 않습니다.');
+ }
+ const musicCoefficient = 1 + liveScoreCoefficientPermil / 1000 * (difficultyLevel - 5);
+ if (musicCoefficient <= 0) throw new Error('악곡 점수 배율은 양수여야 합니다.');
+ return perfectNoteWeight / 1000 / (2.3 * musicCoefficient);
+}
+
export function scoreRatioFromNotes(notes: ExactSongChart['notes']): number {
let weight = 0;
diff --git a/src/lib/engine/song-score-formula.test.ts b/src/lib/engine/song-score-formula.test.ts
new file mode 100644
index 0000000..6da9485
--- /dev/null
+++ b/src/lib/engine/song-score-formula.test.ts
@@ -0,0 +1,61 @@
+import assert from 'node:assert/strict';
+import test from 'node:test';
+import { readFile } from 'node:fs/promises';
+import reference from '../../../docs/research/song-score-formula-reference.json' with { type: 'json' };
+import susReference from '../../../docs/research/sus-score-formulas.json' with { type: 'json' };
+import calibrations from '../../../data/score-calibrations.json' with { type: 'json' };
+import catalog from '../data/exact-chart-catalog.json' with { type: 'json' };
+import { calculateExactScore, perfectNoteScoreFromPower, scoreRatioFromFormula } from './score.ts';
+
+test('곡별 공식과 실제 점수 엔진이 일반 PERFECT 실측 19건을 재현한다', () => {
+ let count = 0;
+ for (const calibration of calibrations.charts) {
+ const formula = reference.charts.find((row) => row.songId === calibration.songId && row.difficulty === calibration.difficulty);
+ assert.ok(formula);
+ for (const measurement of calibration.measurements) {
+ const result = calculateExactScore([], {}, {
+ songId: calibration.songId, difficulty: calibration.difficulty,
+ durationSeconds: 2, scoreRatio: scoreRatioFromFormula(formula),
+ notes: [{ timeSeconds: 1, type: 'regular', isFlick: false }], specialStartSeconds: []
+ }, {
+ perfectNoteScore: perfectNoteScoreFromPower(measurement.overallPower, scoreRatioFromFormula(formula)),
+ directSongScoreBonusPercent: measurement.directSongScoreBonusPercent
+ });
+ assert.equal(result.baselineScore, measurement.normalPerfectScore, `${calibration.songId}.${calibration.difficulty}`);
+ count += 1;
+ }
+ }
+ assert.equal(count, 19);
+});
+
+test('공식 적용 카탈로그와 실제 채보가 같은 분모 및 환산값을 사용한다', async () => {
+ let formulaCount = 0;
+ for (const row of catalog.charts) {
+ const chart = JSON.parse(await readFile(new URL(`../../../static${row.path}`, import.meta.url), 'utf8'));
+ const ref = [...reference.charts, ...susReference.charts].find((item) => item.songId === row.songId && item.difficulty === row.difficulty);
+ assert.equal(chart.scoreRatio, row.scoreRatio);
+ assert.equal(chart.scoreCalibrationSource, row.scoreCalibrationSource);
+ if (!ref) {
+ assert.notEqual(row.scoreCalibrationSource, 'formula-v1');
+ continue;
+ }
+ assert.equal(row.scoreCalibrationSource, 'formula-v1');
+ assert.equal(row.scoreRatio, scoreRatioFromFormula(ref));
+ assert.deepEqual(chart.scoreFormula, row.scoreFormula);
+ assert.deepEqual(chart.scoreFormula, {
+ perfectNoteWeight: ref.perfectNoteWeight,
+ liveScoreCoefficientPermil: ref.liveScoreCoefficientPermil,
+ difficultyLevel: ref.difficultyLevel
+ });
+ assert.equal(chart.notes.length, ref.fullComboNoteCount);
+ formulaCount += 1;
+ }
+ assert.equal(formulaCount, 388);
+});
+
+test('잘못된 분모와 난이도로 공식 환산값을 만들지 않는다', () => {
+ const valid = { perfectNoteWeight: 633950, liveScoreCoefficientPermil: 5, difficultyLevel: 24 };
+ for (const invalid of [{ perfectNoteWeight: 0 }, { perfectNoteWeight: NaN }, { difficultyLevel: 0 }, { liveScoreCoefficientPermil: -1 }]) {
+ assert.throws(() => scoreRatioFromFormula({ ...valid, ...invalid }));
+ }
+});
diff --git a/src/lib/engine/types.ts b/src/lib/engine/types.ts
index 5914c25..b0443d1 100644
--- a/src/lib/engine/types.ts
+++ b/src/lib/engine/types.ts
@@ -93,6 +93,7 @@ export type ExactSongChart = {
durationSeconds: number;
scoreRatio: number | null;
scoreCalibrationSource?: 'measured' | 'local-estimated-v1' | string;
+ scoreFormula?: import('./score.ts').SongScoreFormula;
notes: readonly ExactChartNote[];
specialStartSeconds: readonly (number | null)[];
singerType?: string | null;
diff --git a/src/routes/analysis/+page.svelte b/src/routes/analysis/+page.svelte
index 446e92e..91daab7 100644
--- a/src/routes/analysis/+page.svelte
+++ b/src/routes/analysis/+page.svelte
@@ -168,7 +168,7 @@
})();
$: overallPower = unitPower.overallPower;
$: perfectNoteScore = perfectNoteScoreFromPower(overallPower, selectedChart?.scoreRatio ?? null);
- $: scoreCalibrationLabel = selectedChart?.scoreCalibrationSource === 'measured' ? '실측값' : '추정값';
+ $: scoreCalibrationLabel = selectedChart?.scoreCalibrationSource === 'formula-v1' ? '곡별 공식' : selectedChart?.scoreCalibrationSource === 'measured' ? '실측값' : '추정값';
$: timelineDuration = selectedChart?.durationSeconds ?? 0;
$: displayedEffectiveActiveWindows = mergeEffectiveActiveWindows(result?.effectiveActiveWindows ?? []);
$: timelineTicks = buildTimelineTicks(timelineDuration);
@@ -859,7 +859,7 @@
배치 분석
특정 악곡과 카드 조합에서 최고 점수를 낼 수 있는 스페셜 발동 순서와 빈도 감소 조합을 찾습니다.
- {#if selectedChart && selectedChart.scoreCalibrationSource !== 'measured'}
+ {#if selectedChart && selectedChart.scoreCalibrationSource !== 'measured' && selectedChart.scoreCalibrationSource !== 'formula-v1'}
추정 점수 안내 이 악곡의 점수 계수는 실측값이 아니므로 실제 점수와 오차가 크게 발생할 수 있습니다.
{/if}
diff --git a/src/routes/combination/+page.svelte b/src/routes/combination/+page.svelte
index 046d8cd..5526894 100644
--- a/src/routes/combination/+page.svelte
+++ b/src/routes/combination/+page.svelte
@@ -176,7 +176,7 @@
$: songs = Array.from(new Map(charts.map((chart) => [chart.songId, { id: chart.songId, title: chart.title }])).values());
$: if (!songs.some((song) => song.id === selectedSongId)) selectedSongId = songs[0]?.id ?? '';
$: selectedChart = charts.find((chart) => chart.songId === selectedSongId && chart.difficulty === difficulty);
- $: scoreCalibrationLabel = selectedChart?.scoreCalibrationSource === 'measured' ? '실측값' : '추정값';
+ $: scoreCalibrationLabel = selectedChart?.scoreCalibrationSource === 'formula-v1' ? '곡별 공식' : selectedChart?.scoreCalibrationSource === 'measured' ? '실측값' : '추정값';
$: baselineChartMetadata = baselineState
? charts.find((chart) => chart.songId === baselineState!.songId && chart.difficulty === baselineState!.difficulty)
: undefined;
@@ -1129,7 +1129,7 @@
대상 멤버 1명당 +{currentEvent.formationBonusPercent}% · 신규 카드 추가 +{currentEvent.featuredCardBonusPercent}% · 과제곡 대응 카드 스코어 +{currentEvent.challengeSongScoreBonusPercent}%
{/if}
- {#if selectedChart && selectedChart.scoreCalibrationSource !== 'measured'}
+ {#if selectedChart && selectedChart.scoreCalibrationSource !== 'measured' && selectedChart.scoreCalibrationSource !== 'formula-v1'}
추정 점수 안내 이 악곡의 점수 계수는 실측값이 아니므로 실제 점수와 오차가 크게 발생할 수 있습니다.
{/if}
{#if !eventMode}기준 조합은 배치 분석 결과가 저장되어 있고, 저장된 악곡과 난이도가 현재 탐색 조건과 같을 때 표시됩니다.