music/exemplars/formula_cards/UNMATCHED__155_PR_Video_BGM__Cool_4_.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__155_PR_Video_BGM__Cool_4_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon X & Pokémon Y_ Super Music Colle\\155 PR Video BGM _Cool 4_.m4a",
"sha256": "18bd113966c433cda7a4daba7cc2ef4eea04514b1c2abee7957bd688421330e4",
"bytes": 970021,
"source_format": "mov,mp4,m4a,3gp,3g2,mj2",
"source_codec": "aac",
"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": "2026-08-07T04:00:28+00:00",
"format_induced_limit": "lossy source (aac); 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": 13.7,
"section_boundaries_s": [
0.0,
1.718,
7.709,
13.7
],
"section_count": 3,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.8802,
"is_repeat": false
},
{
"section": 2,
"most_like_section": 1,
"similarity": 0.9386,
"is_repeat": true
}
],
"novelty_peak_strength": [
1.0,
0.7866
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 99.38,
"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,
10.4,
10.77,
11.15,
11.52,
11.89,
12.26,
12.63,
13.0,
13.37
],
"curve_bpm": [
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
198.77,
198.77,
198.77,
198.77,
198.77,
49.69,
49.69,
49.69,
49.69,
49.69,
49.69,
99.38,
99.38,
99.38,
99.38,
99.38,
49.69,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77
],
"adjustment_events": [
{
"position_s": 2.51,
"duration_s": 3.04,
"delta_bpm": 49.37,
"shape": "step"
},
{
"position_s": 5.67,
"duration_s": 2.76,
"delta_bpm": -29.41,
"shape": "step"
},
{
"position_s": 8.89,
"duration_s": 4.78,
"delta_bpm": 70.98,
"shape": "step"
}
],
"dispersion_bpm": 59.873,
"rubato_depth_bpm": 149.076
},
"global_bpm": 99.38,
"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": 99.38,
"tempo_bpm_median_local": 99.38,
"tempo_iqr_bpm": 18.07,
"tempo_stability": 0.2727,
"beat_interval_cv": 0.0135
},
"dominant_onset_period_s": 1.2074,
"dominant_onset_period_bpm": 49.69,
"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": 0.526,
"onset_rate_per_s": 10.785
}
},
"tonality": {
"key": "D",
"mode": "minor",
"windowed_key_agreement": 1.0,
"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": 0.697,
"onset_bars": 0.29,
"pitch_contour": "DDDUD-U-UDUDD-U",
"interval_vocabulary_semitones": [
0,
2,
3,
5,
7,
8
],
"intervals": [
-2.0,
-2.0,
-3.0,
7.0,
-7.0,
0.0,
3.0,
0.0,
2.0,
-5.0,
8.0,
-5.0,
-5.0,
0.0,
2.0
],
"range_semitones": 10.0,
"distinctive_deviation": {
"largest_interval_semitones": 8.0,
"at_note_index": 11,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.7609,
"self_similarity_baseline": 0.6344,
"self_similarity_lift": 0.1266,
"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": 1.115,
"exit_s": 10.913,
"active_fraction": 0.6582,
"segments": [
[
1.115,
4.249
],
[
4.551,
5.503
],
[
5.759,
7.361
],
[
7.454,
7.988
],
[
8.081,
9.961
],
[
10.124,
10.913
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 1.115,
"exit_s": 11.378,
"active_fraction": 0.709,
"segments": [
[
1.115,
3.646
],
[
3.831,
4.853
],
[
5.039,
8.429
],
[
8.638,
9.892
],
[
10.124,
11.378
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.511,
"exit_s": 9.938,
"active_fraction": 0.7411,
"segments": [
[
0.511,
9.938
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.511,
"exit_s": 11.308,
"active_fraction": 0.7885,
"segments": [
[
0.511,
11.308
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.511,
"exit_s": 11.331,
"active_fraction": 0.7902,
"segments": [
[
0.511,
11.331
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 1.695,
"exit_s": 11.378,
"active_fraction": 0.753,
"segments": [
[
1.695,
11.378
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 1.091,
"exit_s": 10.96,
"active_fraction": 0.7445,
"segments": [
[
1.091,
10.96
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.511,
"exit_s": 11.238,
"active_fraction": 0.7834,
"segments": [
[
0.511,
11.238
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 1.695,
"exit_s": 10.635,
"active_fraction": 0.7022,
"segments": [
[
1.695,
10.635
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.8198,
"sub|bass": 0.8017,
"sub|low_mid": 0.8348,
"sub|mid": 0.833,
"sub|upper_mid": 0.833,
"sub|presence": 0.8841,
"sub|brilliance": 0.8402,
"sub|air": 0.8356,
"low_bass|bass": 0.851,
"low_bass|low_mid": 0.887,
"low_bass|mid": 0.8891,
"low_bass|upper_mid": 0.8989,
"low_bass|presence": 0.8755,
"low_bass|brilliance": 0.8806,
"low_bass|air": 0.821,
"bass|low_mid": 0.9399,
"bass|mid": 0.9379,
"bass|upper_mid": 0.8827,
"bass|presence": 0.8922,
"bass|brilliance": 0.9418,
"bass|air": 0.8747,
"low_mid|mid": 0.9979,
"low_mid|upper_mid": 0.9424,
"low_mid|presence": 0.9442,
"low_mid|brilliance": 0.9936,
"low_mid|air": 0.8865,
"mid|upper_mid": 0.9446,
"mid|presence": 0.9422,
"mid|brilliance": 0.9914,
"mid|air": 0.8846,
"upper_mid|presence": 0.9323,
"upper_mid|brilliance": 0.936,
"upper_mid|air": 0.9196,
"presence|brilliance": 0.9503,
"presence|air": 0.9388,
"brilliance|air": 0.8922
},
"simultaneity_curve": {
"times_s": [
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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,
10.217,
10.403,
10.588,
10.774,
10.96,
11.146,
11.331,
11.517,
11.703,
11.889,
12.074,
12.26,
12.446,
12.632,
12.817,
13.003,
13.189,
13.375,
13.56
],
"lanes": [
0,
0,
0,
7,
8,
4,
9,
9,
7,
7,
9,
9,
9,
9,
9,
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9,
9,
9,
9,
8,
9,
9,
8,
8,
9,
9,
8,
9,
9,
8,
9,
9,
9,
9,
9,
9,
9,
9,
9,
8,
9,
9,
9,
9,
9,
8,
9,
9,
9,
9,
9,
9,
9,
6,
9,
9,
8,
7,
7,
6,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 6.67
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.7763,
"at_s": 10.635,
"db_delta": -4.84,
"lanes_removed": 1.55,
"bars_held_s": 2.485,
"re_enters_at_s": 13.119
},
{
"position": 0.8644,
"at_s": 11.842,
"db_delta": -21.09,
"lanes_removed": 1.09,
"bars_held_s": 1.277,
"re_enters_at_s": 13.119
},
{
"position": 0.9525,
"at_s": 13.05,
"db_delta": -83.71,
"lanes_removed": -0.0,
"bars_held_s": 0.07,
"re_enters_at_s": 13.119
}
],
"raises": [
{
"position": 0.0441,
"start_s": 0.604,
"end_s": 10.797,
"db_delta": 125.15,
"lanes_added": 4.87,
"slope_db_per_s": 12.277
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.8542,
"at_s": 11.703,
"duration_s": 1.997
}
],
"tuttis": [
{
"position": 0.1288,
"at_s": 1.765,
"duration_s": 1.881,
"lanes": 9
},
{
"position": 0.4203,
"at_s": 5.759,
"duration_s": 2.67,
"lanes": 9
},
{
"position": 0.6305,
"at_s": 8.638,
"duration_s": 1.184,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.1827,
"seconds": 2.504,
"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": 1,
"breaks": 2,
"tuttis": 3
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.488,
"time_to_hook_s": 0.697,
"time_to_hook_bars": 0.29,
"time_to_full_texture_s": 1.115,
"time_to_full_texture_bars": 0.46,
"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,
10.4,
11.15,
11.89,
12.63,
13.37
],
"values": [
0.0239,
0.4668,
0.5171,
0.6719,
0.669,
0.6518,
0.648,
0.674,
0.6958,
0.6719,
0.6354,
0.6708,
0.74,
0.6782,
0.6039,
0.376,
0.0596,
0.0757,
0.0
],
"peak_position_normalised": 0.6508
}
},
"complexity_law": {
"available": true,
"bar_length_s": 2.415,
"bars": 5,
"index_per_bar": [
0.8104,
0.9968,
0.9983,
1.0,
0.6895
],
"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": 2.41,
"delta": 0.186,
"at_section_boundary": true
},
{
"bar": 4,
"at_s": 9.66,
"delta": -0.311,
"at_section_boundary": true
}
],
"steps_at_section_boundaries": 2,
"steps_total": 2,
"boundary_step_share": 1.0,
"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": 1.241,
"melodic_salience": 0.9422,
"voiced_fraction": 0.608,
"note_count": 17,
"mean_lanes": 6.67,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 75.59,
"peak_position_normalised": 0.6644,
"peak_at_s": 9.102,
"arc_curve_db": [
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-70.66,
-11.6,
-10.02,
-9.88,
-8.97,
-10.11,
-10.14,
-9.1,
-9.82,
-10.98,
-10.93,
-8.7,
-8.57,
-12.15,
-24.97,
-48.79,
-86.1,
-98.88
],
"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,
10.4,
11.15,
11.89,
12.63,
13.37
]
},
"register": {
"melody_span_semitones": 10.0,
"melody_tessitura_midi": 41.0,
"bass_floor_band": {
"sub": 8e-05,
"low_bass": 0.33912,
"bass": 0.15994,
"low_mid": 0.08928,
"mid": 0.08749,
"upper_mid": 0.28377,
"presence": 0.02888,
"brilliance": 0.01021,
"air": 0.0012,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 8e-05,
"low_bass": 0.33912,
"bass": 0.15994,
"low_mid": 0.08928,
"mid": 0.08749,
"upper_mid": 0.28377,
"presence": 0.02888,
"brilliance": 0.01021,
"air": 0.0012,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.04789,
"seam_ratio": 20.882,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.8439,
"head_rms_trend": 0.8637,
"baked_fade_out": true,
"baked_fade_in": true
},
"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": 1355.6,
"spectral_centroid_curve_hz": [
0.0,
1133.3,
712.0,
1357.4,
1279.6,
1739.7,
1916.7,
1407.8,
1794.2,
1651.1,
2092.4,
1654.1,
2392.9,
1174.1,
1095.1,
746.1,
682.0,
1580.6,
0.0
],
"spectral_rolloff85_hz_mean": 2760.9,
"spectral_flatness_mean": 0.07368,
"signature_colour": "warm"
}
}
}