music/exemplars/formula_cards/UNMATCHED__03_-_The_Beginning.json
{
"schema": "formula-card/v1",
"consumer": "docs/proposals/music/MASTERPIECE_PROGRAM.md rung 2 (the archetype synthesis -> MASTERPIECE_STANDARD.md)",
"tier": "RUNG-1 MEASURED",
"legal_posture": "ANALYSIS FOR UNDERSTANDING ONLY. Audio lawfully obtained by Josh, read from disk, measured, and never copied, redistributed, or used as model input of any kind.",
"track_id": "UNMATCHED__03_-_The_Beginning",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\Okami Original Soundtrack Vol. 1\\Okami Original Soundtrack Vol. 1 [MP3]\\03 - The Beginning.mp3",
"sha256": "09e51b0d695d82bba8318f7c99e7154c468f4363a6bac29c22ca2b5c312c5204",
"bytes": 557868,
"source_format": "mp3",
"source_codec": "mp3",
"source_sample_rate_hz": 44100,
"source_channels": 2,
"lossless_source": false,
"analysis_sample_rate_hz": 22050,
"decoder": "ffmpeg.exe :: ffmpeg version 9.0-full_build-www.gyan.dev Copyright (c) 2000-2026 the FFmpeg developers",
"measured_at": "2026-08-06T22:14:06+00:00",
"format_induced_limit": "lossy source (mp3); high-band timbre figures carry codec artefacts and the card declares it",
"control": {
"controls_passed": 24,
"controls_total": 24,
"ran_at": "2026-08-06T20:41:42+00:00",
"ffmpeg_version": "ffmpeg version 9.0-full_build-www.gyan.dev Copyright (c) 2000-2026 the FFmpeg developers",
"note": "This measurement is admissible only because the positive control recovered its planted answers in the same process, immediately before it."
},
"card": {
"duration_and_structure": {
"total_length_s": 10.04,
"section_boundaries_s": [
0.0,
6.223,
10.04
],
"section_count": 2,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.938,
"is_repeat": true
}
],
"novelty_peak_strength": [
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 198.77,
"curve_times_s": [
0.0,
0.37,
0.74,
1.11,
1.49,
1.86,
2.23,
2.6,
2.97,
3.34,
3.72,
4.09,
4.46,
4.83,
5.2,
5.57,
5.94,
6.32,
6.69,
7.06,
7.43,
7.8,
8.17,
8.54,
8.92,
9.29,
9.66,
10.03
],
"curve_bpm": [
287.11,
287.11,
287.11,
287.11,
287.11,
215.33,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
60.09,
60.09,
60.09,
60.09,
60.09,
60.09,
123.05,
234.91,
234.91,
234.91,
234.91
],
"adjustment_events": [
{
"position_s": 0.44,
"duration_s": 2.04,
"delta_bpm": 41.48,
"shape": "step"
},
{
"position_s": 5.09,
"duration_s": 3.92,
"delta_bpm": -82.13,
"shape": "step"
}
],
"dispersion_bpm": 77.623,
"rubato_depth_bpm": 227.017
},
"global_bpm": 129.2,
"octave_ambiguity_note": "Beat trackers pick a metrical level, and half/double-time readings are a real and known property, not an error -- the rig's own control plants 120 bpm and this estimator returns 60. Every bar figure on this card (time-to-hook in bars, the complexity index's bar length) inherits whichever level was picked, so compare bar counts within a card, never across cards, until rung 2 pins the metrical level per class.",
"windowed_tempo_stability": {
"tempo_bpm_global": 129.2,
"tempo_bpm_median_local": 129.2,
"tempo_iqr_bpm": 6.15,
"tempo_stability": 0.8095,
"beat_interval_cv": 0.0552
},
"dominant_onset_period_s": 0.1625,
"dominant_onset_period_bpm": 369.14,
"metre": {
"assumed": "4/4",
"measured": null,
"note": "Bar arithmetic on this card uses 4 beats per bar at the baseline tempo. The onset period beside it is MEASURED; the signature is not."
},
"groove": {
"swing_ratio": 0.65,
"onset_rate_per_s": 10.742
}
},
"tonality": {
"key": "F#",
"mode": "major",
"windowed_key_agreement": 0.6667,
"modulation_note": "Windowed key agreement below ~0.7 is the modulation signal at rung 1; a pivot-chord map needs symbolic transcription (rung 2)."
},
"the_hook": {
"available": true,
"onset_s": 1.289,
"onset_bars": 1.07,
"pitch_contour": "UDUD-UDU-D-UUD",
"interval_vocabulary_semitones": [
0,
2,
3,
4,
5,
7,
13
],
"intervals": [
2.33,
-2.67,
13.33,
-13.33,
0.0,
13.33,
-12.67,
13.0,
-0.33,
-13.33,
0.33,
5.0,
4.33,
-7.33
],
"range_semitones": 13.67,
"distinctive_deviation": {
"largest_interval_semitones": 13.33,
"at_note_index": 3,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.9419,
"self_similarity_baseline": 0.8821,
"self_similarity_lift": 0.0599,
"recurrence_lag_s": 0.464,
"interval_3gram_repetition": 0.0,
"interval_4gram_repetition": 0.0
},
"lane_analysis": {
"method": "spectral_band_proxy",
"confidence": "LOW-FOR-ROSTER, USABLE-FOR-ARRANGEMENT",
"method_note": "Section 11.1 requires the lane method be declared. Bands are not instruments: two instruments in one octave read as one lane, and one instrument spanning two octaves reads as two. Entry/exit and simultaneity shapes are trustworthy; a roster is not claimed.",
"lane_roster_bands": [
"sub",
"low_bass",
"bass",
"low_mid",
"mid",
"upper_mid",
"presence",
"brilliance",
"air",
"ultra"
],
"entry_exit_map": [
{
"lane": "sub",
"band_hz": [
20,
45
],
"entry_s": 0.488,
"exit_s": 7.361,
"active_fraction": 0.6859,
"segments": [
[
0.488,
7.361
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.464,
"exit_s": 7.523,
"active_fraction": 0.7044,
"segments": [
[
0.464,
7.523
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.464,
"exit_s": 7.384,
"active_fraction": 0.6628,
"segments": [
[
0.464,
2.136
],
[
2.276,
6.037
],
[
6.223,
7.384
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.418,
"exit_s": 7.082,
"active_fraction": 0.4042,
"segments": [
[
0.418,
1.324
],
[
3.646,
5.805
],
[
6.223,
7.082
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.395,
"exit_s": 7.268,
"active_fraction": 0.3233,
"segments": [
[
0.395,
1.277
],
[
4.481,
5.735
],
[
6.223,
7.268
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.395,
"exit_s": 7.384,
"active_fraction": 0.3764,
"segments": [
[
0.395,
1.324
],
[
4.458,
6.06
],
[
6.2,
7.384
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.395,
"exit_s": 8.011,
"active_fraction": 0.5381,
"segments": [
[
0.395,
1.44
],
[
4.435,
8.011
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 4.76,
"exit_s": 7.105,
"active_fraction": 0.2079,
"segments": [
[
4.76,
5.457
],
[
6.223,
7.105
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 6.223,
"exit_s": 6.943,
"active_fraction": 0.1686,
"segments": [
[
6.223,
6.943
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.9738,
"sub|bass": 0.9532,
"sub|low_mid": 0.5733,
"sub|mid": 0.4518,
"sub|upper_mid": 0.5232,
"sub|presence": 0.6109,
"sub|brilliance": 0.2987,
"sub|air": 0.2416,
"low_bass|bass": 0.941,
"low_bass|low_mid": 0.5635,
"low_bass|mid": 0.4448,
"low_bass|upper_mid": 0.5195,
"low_bass|presence": 0.6353,
"low_bass|brilliance": 0.2951,
"low_bass|air": 0.2393,
"bass|low_mid": 0.5986,
"bass|mid": 0.4724,
"bass|upper_mid": 0.5411,
"bass|presence": 0.6049,
"bass|brilliance": 0.3136,
"bass|air": 0.2544,
"low_mid|mid": 0.712,
"low_mid|upper_mid": 0.6816,
"low_mid|presence": 0.5455,
"low_mid|brilliance": 0.5057,
"low_mid|air": 0.4171,
"mid|upper_mid": 0.8589,
"mid|presence": 0.6009,
"mid|brilliance": 0.6429,
"mid|air": 0.5214,
"upper_mid|presence": 0.6996,
"upper_mid|brilliance": 0.5521,
"upper_mid|air": 0.4479,
"presence|brilliance": 0.3863,
"presence|air": 0.3133,
"brilliance|air": 0.8111
},
"simultaneity_curve": {
"times_s": [
0.0,
0.186,
0.372,
0.557,
0.743,
0.929,
1.115,
1.3,
1.486,
1.672,
1.858,
2.043,
2.229,
2.415,
2.601,
2.786,
2.972,
3.158,
3.344,
3.529,
3.715,
3.901,
4.087,
4.272,
4.458,
4.644,
4.83,
5.016,
5.201,
5.387,
5.573,
5.759,
5.944,
6.13,
6.316,
6.502,
6.687,
6.873,
7.059,
7.245,
7.43,
7.616,
7.802,
7.988,
8.173,
8.359,
8.545,
8.731,
8.916,
9.102,
9.288,
9.474,
9.66,
9.845,
10.031
],
"lanes": [
0,
0,
0,
9,
9,
7,
7,
6,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
5,
4,
4,
4,
4,
6,
7,
8,
9,
9,
8,
7,
6,
5,
3,
9,
9,
9,
9,
8,
6,
2,
1,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 4.072
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.5342,
"at_s": 5.364,
"db_delta": -4.4,
"lanes_removed": 2.01,
"bars_held_s": 0.673,
"re_enters_at_s": 6.037
},
{
"position": 0.7748,
"at_s": 7.779,
"db_delta": -12.46,
"lanes_removed": 2.55,
"bars_held_s": 1.672,
"re_enters_at_s": 9.451
},
{
"position": 0.895,
"at_s": 8.986,
"db_delta": -10.93,
"lanes_removed": -0.0,
"bars_held_s": 0.464,
"re_enters_at_s": 9.451
}
],
"raises": [
{
"position": 0.0601,
"start_s": 0.604,
"end_s": 0.697,
"db_delta": 97.07,
"lanes_added": 5.6,
"slope_db_per_s": 1045.123
},
{
"position": 0.229,
"start_s": 2.299,
"end_s": 6.827,
"db_delta": 6.02,
"lanes_added": 0.67,
"slope_db_per_s": 1.328
},
{
"position": 0.414,
"start_s": 4.156,
"end_s": 5.433,
"db_delta": 0.98,
"lanes_added": 1.58,
"slope_db_per_s": 0.765
},
{
"position": 0.6545,
"start_s": 6.571,
"end_s": 6.618,
"db_delta": 0.19,
"lanes_added": 1.55,
"slope_db_per_s": 4.181
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.348
},
{
"position": 0.8442,
"at_s": 8.475,
"duration_s": 1.556
}
],
"tuttis": [],
"silence_budget": {
"fraction": 0.194,
"seconds": 1.948,
"threshold": "40 dB below the track's own p95 RMS",
"note": "Section 11.2 treats rest as a FIRST-CLASS parameter, not an absence."
},
"counts": {
"drops": 3,
"raises": 4,
"breaks": 2,
"tuttis": 0
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.372,
"time_to_hook_s": 1.289,
"time_to_hook_bars": 1.07,
"time_to_full_texture_s": 0.488,
"time_to_full_texture_bars": 0.4,
"flow_curve": {
"definition": "energy = 0.45*density + 0.35*lane-simultaneity + 0.20*register, each normalised to the track's own maximum (section 11.4)",
"times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72,
4.46,
5.2,
5.94,
6.69,
7.43,
8.17,
8.92,
9.66
],
"values": [
0.1008,
0.5314,
0.328,
0.1986,
0.2446,
0.3155,
0.4603,
0.5768,
0.469,
0.5603,
0.216,
0.0675,
0.062,
0.072
],
"peak_position_normalised": 0.6204
}
},
"complexity_law": {
"available": true,
"bar_length_s": 1.2074,
"bars": 8,
"index_per_bar": [
0.8024,
0.5756,
0.5234,
0.7772,
0.989,
1.0,
0.3448,
0.0329
],
"definition": "lane count + 4*harmonic change rate + 0.6*onset strength + 0.4*register span, per bar, normalised to the track's own maximum (section 11.6)",
"step_map": [
{
"bar": 1,
"at_s": 1.21,
"delta": -0.227,
"at_section_boundary": true
},
{
"bar": 3,
"at_s": 3.62,
"delta": 0.254,
"at_section_boundary": false
},
{
"bar": 4,
"at_s": 4.83,
"delta": 0.212,
"at_section_boundary": false
},
{
"bar": 6,
"at_s": 7.24,
"delta": -0.655,
"at_section_boundary": true
},
{
"bar": 7,
"at_s": 8.45,
"delta": -0.312,
"at_section_boundary": false
}
],
"steps_at_section_boundaries": 2,
"steps_total": 5,
"boundary_step_share": 0.4,
"hypothesis_note": "Section 11.6 expects masterpieces to step complexity AT structural boundaries and hold it flat inside sections. This share is the measurement of that claim on this track; the corpus decides, not us."
},
"texture_and_density": {
"note_rate_per_s": 1.494,
"melodic_salience": 0.7424,
"voiced_fraction": 0.3353,
"note_count": 15,
"mean_lanes": 4.072,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 56.72,
"peak_position_normalised": 0.5,
"peak_at_s": 5.016,
"arc_curve_db": [
-49.0,
-56.29,
-19.98,
-22.57,
-19.1,
-17.38,
-14.88,
-13.76,
-14.56,
-17.73,
-28.55,
-43.4,
-56.44,
-51.29
],
"arc_times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72,
4.46,
5.2,
5.94,
6.69,
7.43,
8.17,
8.92,
9.66
]
},
"register": {
"melody_span_semitones": 13.67,
"melody_tessitura_midi": 38.33,
"bass_floor_band": {
"sub": 0.04598,
"low_bass": 0.32916,
"bass": 0.41797,
"low_mid": 0.10217,
"mid": 0.04087,
"upper_mid": 0.05017,
"presence": 0.01017,
"brilliance": 0.00278,
"air": 0.00064,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.04598,
"low_bass": 0.32916,
"bass": 0.41797,
"low_mid": 0.10217,
"mid": 0.04087,
"upper_mid": 0.05017,
"presence": 0.01017,
"brilliance": 0.00278,
"air": 0.00064,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.02057,
"seam_ratio": 48.623,
"seam_clean": false,
"tail_rms_over_mid": 0.0009,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.94,
"head_rms_trend": 0.2952,
"baked_fade_out": true,
"baked_fade_in": false
},
"ending": "baked_fade_out",
"cadence_census_note": "A cadence census needs harmonic transcription and is a rung-2 dimension; the seam measurement is what rung 1 can honestly report about how it ends."
},
"timbre": {
"spectral_centroid_hz_mean": 1073.6,
"spectral_centroid_curve_hz": [
0.0,
859.6,
1253.6,
827.8,
409.1,
435.1,
501.9,
729.0,
814.6,
1477.4,
1193.3,
1572.2,
1771.8,
2139.6
],
"spectral_rolloff85_hz_mean": 1883.4,
"spectral_flatness_mean": 0.0375,
"signature_colour": "dark"
}
}
}