{
  "project": "YOTOTOMO CANON",
  "version": "1.0",
  "status": "MATHEMATICAL_AND_STRUCTURAL_DESIGN_LOCKED; MASTER_V1_RENDERED_AND_RELEASE_ACCEPTED",
  "status_date": "2026-09-08",
  "purpose": "Publish a reproducible engineering record of pitch, score structure, score time, sample grid, performance realization and master validation for this Pachelbel Canon realization.",
  "claims_policy": {
    "no_mystical_432_claims": true,
    "no_health_claims": true,
    "no_historical_authenticity_claim_for_432": true,
    "principle": "A4=432 Hz and 45 BPM are retained because they satisfy the declared mathematical and digital constraints; this is a conditional engineering result, not a universal law of music."
  },
  "score": {
    "work": "Johann Pachelbel — Canon per 3 Violini e Basso",
    "key": "D major",
    "meter": "4/4",
    "bars": 57,
    "notation_segments": 1962,
    "base_attacks_after_tie_merge": 1956,
    "ornament_integrated_events": 1992,
    "voice_event_counts": {
      "Cello": 225,
      "Vn I": 605,
      "Vn II": 589,
      "Vn III": 573
    },
    "last_notated_sound_end_quarter": 225,
    "last_notated_sound_end_seconds": 300,
    "final_score_end_seconds": 304
  },
  "structure_lock": {
    "cello_ground": {
      "pattern_bars": 2,
      "pattern": "D–A–B–F# | G–D–G–A",
      "repetitions": 28,
      "coverage": "bars 1–56",
      "closing_bar": "bar 57: D on beat 1, then three beats rest"
    },
    "canon_voices": [
      {"voice":"Vn I","entry_bar":3,"common_material_bars":"3–52","common_material_length_bars":50,"tail_bars":"53–57","tail_length_bars":5},
      {"voice":"Vn II","entry_bar":5,"common_material_bars":"5–54","common_material_length_bars":50,"tail_bars":"55–57","tail_length_bars":3},
      {"voice":"Vn III","entry_bar":7,"common_material_bars":"7–56","common_material_length_bars":50,"tail_bars":"57","tail_length_bars":1}
    ],
    "inter_voice_delay_bars": 2,
    "inter_voice_delay_beats": 8,
    "inter_voice_delay_samples": 512000,
    "final_bar_pitch_content": ["Cello D3","Vn I A4","Vn II F#5","Vn III D5"],
    "final_bar_harmony": "D major"
  },
  "ornament_lock": {
    "source_notes_replaced": 6,
    "expanded_ornament_events": 42,
    "net_event_change": 36,
    "locations": [
      {"voice":"Vn I","bar":10},{"voice":"Vn II","bar":12},{"voice":"Vn III","bar":14},
      {"voice":"Vn I","bar":42},{"voice":"Vn II","bar":44},{"voice":"Vn III","bar":46}
    ],
    "rule": "Each replaced source duration is preserved exactly as a rational sum; ornament expansion does not move the score-time lattice."
  },
  "time_lock": {
    "sample_rate_hz": 48000,
    "tempo_bpm": 45,
    "quarter_seconds": "4/3",
    "eighth_samples": 32000,
    "sixteenth_samples": 16000,
    "thirty_second_seconds": "1/6",
    "thirty_second_samples": 8000,
    "quarter_samples": 64000,
    "bar_samples": 256000,
    "two_bar_samples": 512000,
    "score_samples": 14592000,
    "score_seconds": 304,
    "all_event_starts_integer_samples": true,
    "all_event_durations_integer_samples": true
  },
  "pitch_lock": {
    "system": "D-centered fixed five-limit just intonation",
    "A4_hz": 432,
    "D4_hz": 288,
    "frequency_count": 27,
    "frequencies_hz": [72,90,96,108,120,144,192,216,240,270,288,324,360,384,432,480,512,540,576,648,720,768,864,960,1024,1080,1152],
    "pitches": [
      {"note":"D2","ratio_to_D4":"1/4","hz":72,"cycles_per_32nd":"12","integer_cycles_per_32nd":true},
      {"note":"F#2","ratio_to_D4":"5/16","hz":90,"cycles_per_32nd":"15","integer_cycles_per_32nd":true},
      {"note":"G2","ratio_to_D4":"1/3","hz":96,"cycles_per_32nd":"16","integer_cycles_per_32nd":true},
      {"note":"A2","ratio_to_D4":"3/8","hz":108,"cycles_per_32nd":"18","integer_cycles_per_32nd":true},
      {"note":"B2","ratio_to_D4":"5/12","hz":120,"cycles_per_32nd":"20","integer_cycles_per_32nd":true},
      {"note":"D3","ratio_to_D4":"1/2","hz":144,"cycles_per_32nd":"24","integer_cycles_per_32nd":true},
      {"note":"G3","ratio_to_D4":"2/3","hz":192,"cycles_per_32nd":"32","integer_cycles_per_32nd":true},
      {"note":"A3","ratio_to_D4":"3/4","hz":216,"cycles_per_32nd":"36","integer_cycles_per_32nd":true},
      {"note":"B3","ratio_to_D4":"5/6","hz":240,"cycles_per_32nd":"40","integer_cycles_per_32nd":true},
      {"note":"C#4","ratio_to_D4":"15/16","hz":270,"cycles_per_32nd":"45","integer_cycles_per_32nd":true},
      {"note":"D4","ratio_to_D4":"1/1","hz":288,"cycles_per_32nd":"48","integer_cycles_per_32nd":true},
      {"note":"E4","ratio_to_D4":"9/8","hz":324,"cycles_per_32nd":"54","integer_cycles_per_32nd":true},
      {"note":"F#4","ratio_to_D4":"5/4","hz":360,"cycles_per_32nd":"60","integer_cycles_per_32nd":true},
      {"note":"G4","ratio_to_D4":"4/3","hz":384,"cycles_per_32nd":"64","integer_cycles_per_32nd":true},
      {"note":"A4","ratio_to_D4":"3/2","hz":432,"cycles_per_32nd":"72","integer_cycles_per_32nd":true},
      {"note":"B4","ratio_to_D4":"5/3","hz":480,"cycles_per_32nd":"80","integer_cycles_per_32nd":true},
      {"note":"C5","ratio_to_D4":"16/9","hz":512,"cycles_per_32nd":"256/3","integer_cycles_per_32nd":false},
      {"note":"C#5","ratio_to_D4":"15/8","hz":540,"cycles_per_32nd":"90","integer_cycles_per_32nd":true},
      {"note":"D5","ratio_to_D4":"2/1","hz":576,"cycles_per_32nd":"96","integer_cycles_per_32nd":true},
      {"note":"E5","ratio_to_D4":"9/4","hz":648,"cycles_per_32nd":"108","integer_cycles_per_32nd":true},
      {"note":"F#5","ratio_to_D4":"5/2","hz":720,"cycles_per_32nd":"120","integer_cycles_per_32nd":true},
      {"note":"G5","ratio_to_D4":"8/3","hz":768,"cycles_per_32nd":"128","integer_cycles_per_32nd":true},
      {"note":"A5","ratio_to_D4":"3/1","hz":864,"cycles_per_32nd":"144","integer_cycles_per_32nd":true},
      {"note":"B5","ratio_to_D4":"10/3","hz":960,"cycles_per_32nd":"160","integer_cycles_per_32nd":true},
      {"note":"C6","ratio_to_D4":"32/9","hz":1024,"cycles_per_32nd":"512/3","integer_cycles_per_32nd":false},
      {"note":"C#6","ratio_to_D4":"15/4","hz":1080,"cycles_per_32nd":"180","integer_cycles_per_32nd":true},
      {"note":"D6","ratio_to_D4":"4/1","hz":1152,"cycles_per_32nd":"192","integer_cycles_per_32nd":true}
    ],
    "c_natural_policy": {
      "status": "LOCKED",
      "ratio_to_D": "16/9",
      "C5_hz": 512,
      "C6_hz": 1024,
      "integer_cycle_closure_per_32nd": false,
      "note": "C natural is deliberately retained at the fixed five-limit 16/9 mapping. Its non-integer 32nd-note cycle count is disclosed rather than rounded away."
    }
  },
  "mathematical_result": {
    "diatonic_core_ratio_denominator_lcm": 24,
    "D4_cycles_per_32nd": 48,
    "A432_exact_tempo_family": "BPM = 90/k for positive integer k; within the declared 35–60 BPM window only k=2 survives, hence 45 BPM.",
    "declared_domain": {
      "A4_integer_hz_min": 430,
      "A4_integer_hz_max": 442,
      "tempo_bpm_min": 35,
      "tempo_bpm_max": 60,
      "sample_rate_hz": 48000,
      "smallest_grid": "1/32 note",
      "closure_set": "D-major diatonic fixed five-limit core; C natural excluded from the integer-cycle closure criterion and disclosed separately"
    },
    "declared_domain_exhaustive_solution": {"A4_hz":432,"tempo_bpm":45,"samples_per_32nd":8000},
    "scope_warning": "The uniqueness result is conditional on the declared domain and closure criterion. It is not a universal statement about tuning, tempo or musical quality."
  },
  "realization": {
    "piano_source": "Twilight-Salamander Grand Piano V6.1a",
    "project": "Accurate-Salamander Project",
    "soundbank_format": "48 kHz / 24-bit",
    "official_sample_count": 480,
    "official_velocity_layers": 16,
    "used_velocity_sample_layers": ["v05","v06","v07"],
    "renderer": "custom verified core-WAV renderer using actual Twilight samples",
    "native_sfz_bit_equivalence_claimed": false,
    "pitch_calibration": {
      "target_frequency_count": 27,
      "verification": "stable-window first-partial center after calibrated resampling",
      "v5_max_abs_center_error_cents": 0.00015116131661556647,
      "instantaneous_pure_sine_equivalence_claimed": false
    },
    "excluded_from_performance_base": ["Hammer Noise","Pedal Noise","Sampled Release","Damper Pedal Resonance","supplemental reverb","master EQ","compression","limiting"]
  },
  "master_v1": {
    "status": "RENDERED_TECHNICALLY_VALIDATED_AND_RELEASE_ACCEPTED",
    "final_master_listening_signoff": true,
    "performance_base": "v5 native-release",
    "processing": "subtle deterministic stereo FIR room + global gain + 24-bit TPDF dither",
    "eq": "OFF",
    "compression": "OFF",
    "limiting": "OFF",
    "stereo_widening": "OFF",
    "pitch_processing": "OFF",
    "timing_processing": "OFF",
    "room_ir_seconds": 1.35,
    "late_tail_rt60_seconds": 1.05,
    "room_rms_relative_to_dry_db": -19.0,
    "integrated_lufs": -18.6,
    "true_peak_dbfs": -2.1,
    "clip_samples": 0,
    "duration_seconds": 304.0,
    "wav": {"file":"PACHELBEL_CANON_TWILIGHT_A432_JI_FINAL_MASTER_v1_48k24.wav","size_bytes":87552044,"sha256":"9806b498e3f5422b95ccee82355160aec3f98b7373d0872cff16758a34cf92da"},
    "mp3": {"file":"PACHELBEL_CANON_TWILIGHT_A432_JI_FINAL_MASTER_v1_320k.mp3","size_bytes":12162284,"sha256":"a62800647e15e5592dbf297c68de28a20abf89af5d74ce7dea95c625616741b4"}
  },
  "provenance": [
    {"role":"machine-readable score cross-check","source":"Mutopia Project ID 2047 — Canon per 3 Violini e Basso","license":"CC BY 4.0","url":"https://www.mutopiaproject.org/cgibin/piece-info.cgi?id=2047"},
    {"role":"piano soundbank","source":"Twilight-Salamander Grand Piano V6.1a — Accurate-Salamander Project","author":"Chisato Yamauchi","based_on":"Salamander Grand Piano by Alexander Holm","license":"CC BY 3.0","url":"https://www.ir.isas.jaxa.jp/~cyamauch/AccurateSalamander/","modification_disclosure":"YOTOTOMO retunes/resamples the selected source WAVs to the declared fixed target-frequency map and applies its own performance/mastering pipeline."}
  ]
}
