music/exemplars/formula_cards/UNMATCHED__150_PR_Video_BGM__Elegant_3_.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__150_PR_Video_BGM__Elegant_3_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon X & Pokémon Y_ Super Music Colle\\150 PR Video BGM _Elegant 3_.m4a",
"sha256": "47b38ce6ddb4cfa5915187107047563c2d9a0996dd11992b6ec5a38c00e6363c",
"bytes": 1066071,
"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": "2026-08-07T04:00:04+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": 16.533,
"section_boundaries_s": [
0.0,
3.715,
10.24,
16.533
],
"section_count": 3,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.9874,
"is_repeat": true
},
{
"section": 2,
"most_like_section": 0,
"similarity": 0.8782,
"is_repeat": false
}
],
"novelty_peak_strength": [
0.5763,
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 112.35,
"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,
13.75,
14.12,
14.49,
14.86,
15.23,
15.6,
15.98,
16.35
],
"curve_bpm": [
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
112.35,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
198.77,
198.77,
198.77,
198.77,
198.77
],
"adjustment_events": [
{
"position_s": 0.0,
"duration_s": 3.13,
"delta_bpm": -46.32,
"shape": "ramp"
},
{
"position_s": 11.68,
"duration_s": 4.69,
"delta_bpm": 71.86,
"shape": "step"
}
],
"dispersion_bpm": 50.605,
"rubato_depth_bpm": 160.354
},
"global_bpm": 112.35,
"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": 112.35,
"tempo_bpm_median_local": 112.35,
"tempo_iqr_bpm": 4.68,
"tempo_stability": 0.8333,
"beat_interval_cv": 0.024
},
"dominant_onset_period_s": 3.2276,
"dominant_onset_period_bpm": 18.59,
"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": 0.687,
"onset_rate_per_s": 10.752
}
},
"tonality": {
"key": "F",
"mode": "major",
"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": 0.33,
"pitch_contour": "-UD-U-D-UDUDUD-",
"interval_vocabulary_semitones": [
0,
1,
7,
12,
13,
17,
19
],
"intervals": [
0.0,
12.0,
-7.0,
0.0,
7.0,
0.0,
-7.0,
0.0,
19.0,
-13.0,
1.0,
-12.0,
17.0,
-17.0,
0.0
],
"range_semitones": 24.0,
"distinctive_deviation": {
"largest_interval_semitones": 19.0,
"at_note_index": 9,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.8619,
"self_similarity_baseline": 0.7598,
"self_similarity_lift": 0.1021,
"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": 12.074,
"active_fraction": 0.7013,
"segments": [
[
0.488,
12.074
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.488,
"exit_s": 12.098,
"active_fraction": 0.4418,
"segments": [
[
0.488,
1.834
],
[
3.715,
5.039
],
[
6.943,
8.661
],
[
9.636,
12.098
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.488,
"exit_s": 11.889,
"active_fraction": 0.69,
"segments": [
[
0.488,
11.889
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.488,
"exit_s": 12.33,
"active_fraction": 0.7167,
"segments": [
[
0.488,
12.33
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.488,
"exit_s": 12.307,
"active_fraction": 0.7153,
"segments": [
[
0.488,
12.307
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.488,
"exit_s": 11.981,
"active_fraction": 0.6957,
"segments": [
[
0.488,
11.981
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.488,
"exit_s": 12.098,
"active_fraction": 0.7027,
"segments": [
[
0.488,
12.098
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.488,
"exit_s": 11.935,
"active_fraction": 0.6928,
"segments": [
[
0.488,
11.935
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.488,
"exit_s": 11.749,
"active_fraction": 0.6199,
"segments": [
[
0.488,
6.153
],
[
6.409,
7.639
],
[
8.336,
9.845
],
[
10.147,
11.749
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.6267,
"sub|bass": 0.984,
"sub|low_mid": 0.9785,
"sub|mid": 0.9804,
"sub|upper_mid": 0.992,
"sub|presence": 0.998,
"sub|brilliance": 0.988,
"sub|air": 0.884,
"low_bass|bass": 0.6108,
"low_bass|low_mid": 0.6164,
"low_bass|mid": 0.6176,
"low_bass|upper_mid": 0.6188,
"low_bass|presence": 0.6287,
"low_bass|brilliance": 0.6148,
"low_bass|air": 0.5418,
"bass|low_mid": 0.9628,
"bass|mid": 0.9647,
"bass|upper_mid": 0.9919,
"bass|presence": 0.982,
"bass|brilliance": 0.996,
"bass|air": 0.8984,
"low_mid|mid": 0.998,
"low_mid|upper_mid": 0.9706,
"low_mid|presence": 0.9804,
"low_mid|brilliance": 0.9667,
"low_mid|air": 0.865,
"mid|upper_mid": 0.9725,
"mid|presence": 0.9824,
"mid|brilliance": 0.9686,
"mid|air": 0.8667,
"upper_mid|presence": 0.99,
"upper_mid|brilliance": 0.996,
"upper_mid|air": 0.8911,
"presence|brilliance": 0.986,
"presence|air": 0.8822,
"brilliance|air": 0.8947
},
"simultaneity_curve": {
"times_s": [
0.0,
0.186,
0.372,
0.557,
0.743,
0.929,
1.115,
1.3,
1.486,
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1.858,
2.043,
2.229,
2.415,
2.601,
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2.972,
3.158,
3.344,
3.529,
3.715,
3.901,
4.087,
4.272,
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4.644,
4.83,
5.016,
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5.759,
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6.13,
6.316,
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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,
13.746,
13.932,
14.118,
14.303,
14.489,
14.675,
14.861,
15.047,
15.232,
15.418,
15.604,
15.79,
15.975,
16.161,
16.347,
16.533
],
"lanes": [
0,
0,
0,
9,
9,
9,
9,
9,
9,
9,
8,
8,
8,
9,
8,
8,
8,
8,
8,
8,
9,
9,
9,
9,
9,
9,
9,
9,
8,
8,
8,
8,
8,
8,
7,
9,
8,
8,
9,
9,
9,
9,
8,
8,
9,
9,
9,
8,
8,
8,
8,
8,
9,
9,
8,
9,
9,
9,
9,
9,
9,
9,
9,
9,
8,
5,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 5.976
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.6924,
"at_s": 11.447,
"db_delta": -6.38,
"lanes_removed": 1.03,
"bars_held_s": 4.505,
"re_enters_at_s": 15.952
},
{
"position": 0.7654,
"at_s": 12.655,
"db_delta": -8.68,
"lanes_removed": 1.37,
"bars_held_s": 3.297,
"re_enters_at_s": 15.952
},
{
"position": 0.8385,
"at_s": 13.862,
"db_delta": -8.5,
"lanes_removed": -0.0,
"bars_held_s": 2.09,
"re_enters_at_s": 15.952
},
{
"position": 0.9115,
"at_s": 15.07,
"db_delta": -8.38,
"lanes_removed": -0.0,
"bars_held_s": 0.882,
"re_enters_at_s": 15.952
}
],
"raises": [
{
"position": 0.0365,
"start_s": 0.604,
"end_s": 0.882,
"db_delta": 133.36,
"lanes_added": 7.22,
"slope_db_per_s": 478.611
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.441
},
{
"position": 0.8315,
"at_s": 13.746,
"duration_s": 2.786
}
],
"tuttis": [
{
"position": 0.0379,
"at_s": 0.627,
"duration_s": 1.207,
"lanes": 9
},
{
"position": 0.2247,
"at_s": 3.715,
"duration_s": 1.324,
"lanes": 9
},
{
"position": 0.6138,
"at_s": 10.147,
"duration_s": 1.602,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.1978,
"seconds": 3.269,
"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": 4,
"raises": 1,
"breaks": 2,
"tuttis": 3
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.464,
"time_to_hook_s": 0.697,
"time_to_hook_bars": 0.33,
"time_to_full_texture_s": 0.488,
"time_to_full_texture_bars": 0.23,
"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,
14.12,
14.86,
15.6,
16.35
],
"values": [
0.0885,
0.6008,
0.6806,
0.621,
0.6324,
0.6873,
0.6822,
0.6329,
0.6197,
0.6285,
0.7109,
0.7195,
0.6585,
0.6938,
0.747,
0.6947,
0.5182,
0.0772,
0.0375,
0.0303,
0.0386,
0.0422,
0.0
],
"peak_position_normalised": 0.6222
}
},
"complexity_law": {
"available": true,
"bar_length_s": 2.1362,
"bars": 7,
"index_per_bar": [
0.8659,
0.9898,
0.9755,
1.0,
0.9926,
0.7679,
0.0272
],
"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": 5,
"at_s": 10.68,
"delta": -0.225,
"at_section_boundary": true
},
{
"bar": 6,
"at_s": 12.82,
"delta": -0.741,
"at_section_boundary": false
}
],
"steps_at_section_boundaries": 1,
"steps_total": 2,
"boundary_step_share": 0.5,
"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": 0.968,
"melodic_salience": 0.6961,
"voiced_fraction": 0.2302,
"note_count": 16,
"mean_lanes": 5.976,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 64.17,
"peak_position_normalised": 0.6629,
"peak_at_s": 10.96,
"arc_curve_db": [
-63.79,
-69.57,
-12.4,
-12.64,
-12.31,
-12.12,
-11.89,
-12.12,
-12.96,
-12.99,
-11.19,
-10.36,
-11.63,
-12.31,
-10.63,
-10.94,
-21.04,
-35.12,
-45.38,
-55.41,
-65.75,
-102.8,
-92.64
],
"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,
14.12,
14.86,
15.6,
16.35
]
},
"register": {
"melody_span_semitones": 24.0,
"melody_tessitura_midi": 46.0,
"bass_floor_band": {
"sub": 3e-05,
"low_bass": 0.01702,
"bass": 0.13847,
"low_mid": 0.16419,
"mid": 0.18721,
"upper_mid": 0.14645,
"presence": 0.28771,
"brilliance": 0.05433,
"air": 0.00458,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 3e-05,
"low_bass": 0.01702,
"bass": 0.13847,
"low_mid": 0.16419,
"mid": 0.18721,
"upper_mid": 0.14645,
"presence": 0.28771,
"brilliance": 0.05433,
"air": 0.00458,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.05364,
"seam_ratio": 18.644,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.8814,
"head_rms_trend": 0.6994,
"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": 1750.7,
"spectral_centroid_curve_hz": [
0.0,
2721.9,
1930.5,
1938.9,
2046.5,
2365.0,
2177.8,
1756.2,
1853.7,
1464.6,
1713.0,
1533.6,
1647.2,
1652.6,
2996.7,
1790.3,
1305.7,
1363.7,
1346.1,
1309.6,
1802.3,
2001.1,
0.0
],
"spectral_rolloff85_hz_mean": 3423.2,
"spectral_flatness_mean": 0.06494,
"signature_colour": "warm"
}
}
}