music/exemplars/formula_cards/UNMATCHED__158_PR_Video_BGM__Classical_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__158_PR_Video_BGM__Classical_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\\158 PR Video BGM _Classical 3_.m4a",
"sha256": "707eae88be3ca1a7813c1634de8fd26aaa8546b186c52367db86e4c831d4ed94",
"bytes": 1012623,
"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": "2026-08-07T04:00:44+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": 14.954,
"section_boundaries_s": [
0.0,
1.695,
7.732,
14.954
],
"section_count": 3,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.8999,
"is_repeat": false
},
{
"section": 2,
"most_like_section": 0,
"similarity": 0.9885,
"is_repeat": true
}
],
"novelty_peak_strength": [
0.6151,
1.0
],
"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,
13.75,
14.12,
14.49,
14.86
],
"curve_bpm": [
184.57,
184.57,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
161.5,
172.27,
172.27,
172.27,
172.27,
172.27
],
"adjustment_events": [
{
"position_s": 0.09,
"duration_s": 5.8,
"delta_bpm": 75.55,
"shape": "step"
},
{
"position_s": 11.96,
"duration_s": 2.81,
"delta_bpm": 39.12,
"shape": "step"
}
],
"dispersion_bpm": 45.554,
"rubato_depth_bpm": 99.384
},
"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": 0.0128
},
"dominant_onset_period_s": 0.3019,
"dominant_onset_period_bpm": 198.77,
"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": 0.321,
"onset_rate_per_s": 10.75
}
},
"tonality": {
"key": "D",
"mode": "major",
"windowed_key_agreement": 0.75,
"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": 0.604,
"onset_bars": 0.25,
"pitch_contour": "DUUDD-UDUDDDDUD",
"interval_vocabulary_semitones": [
0,
1,
2,
3,
5,
9,
10,
12,
14,
25,
31
],
"intervals": [
-31.0,
12.0,
5.0,
-12.0,
-1.0,
0.0,
10.0,
-10.0,
25.0,
-3.0,
-9.0,
-3.0,
-14.0,
14.0,
-2.0
],
"range_semitones": 31.0,
"distinctive_deviation": {
"largest_interval_semitones": -31.0,
"at_note_index": 1,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.8479,
"self_similarity_baseline": 0.7398,
"self_similarity_lift": 0.1081,
"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": 0.557,
"exit_s": 11.053,
"active_fraction": 0.7225,
"segments": [
[
0.557,
11.053
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.511,
"exit_s": 12.283,
"active_fraction": 0.7876,
"segments": [
[
0.511,
12.283
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.534,
"exit_s": 11.958,
"active_fraction": 0.7643,
"segments": [
[
0.534,
11.958
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.511,
"exit_s": 11.935,
"active_fraction": 0.7643,
"segments": [
[
0.511,
11.935
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.511,
"exit_s": 11.819,
"active_fraction": 0.7566,
"segments": [
[
0.511,
11.819
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.511,
"exit_s": 11.958,
"active_fraction": 0.7659,
"segments": [
[
0.511,
11.958
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.511,
"exit_s": 11.749,
"active_fraction": 0.7519,
"segments": [
[
0.511,
11.749
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.511,
"exit_s": 11.262,
"active_fraction": 0.7194,
"segments": [
[
0.511,
11.262
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.511,
"exit_s": 10.867,
"active_fraction": 0.693,
"segments": [
[
0.511,
10.867
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.9173,
"sub|bass": 0.9452,
"sub|low_mid": 0.9452,
"sub|mid": 0.9549,
"sub|upper_mid": 0.9433,
"sub|presence": 0.9608,
"sub|brilliance": 0.9745,
"sub|air": 0.9509,
"low_bass|bass": 0.9705,
"low_bass|low_mid": 0.9705,
"low_bass|mid": 0.9606,
"low_bass|upper_mid": 0.9724,
"low_bass|presence": 0.9547,
"low_bass|brilliance": 0.9134,
"low_bass|air": 0.8799,
"bass|low_mid": 0.996,
"bass|mid": 0.9858,
"bass|upper_mid": 0.998,
"bass|presence": 0.9798,
"bass|brilliance": 0.9372,
"bass|air": 0.9028,
"low_mid|mid": 0.9899,
"low_mid|upper_mid": 0.998,
"low_mid|presence": 0.9838,
"low_mid|brilliance": 0.9412,
"low_mid|air": 0.9067,
"mid|upper_mid": 0.9879,
"mid|presence": 0.9939,
"mid|brilliance": 0.9508,
"mid|air": 0.916,
"upper_mid|presence": 0.9818,
"upper_mid|brilliance": 0.9393,
"upper_mid|air": 0.9049,
"presence|brilliance": 0.9567,
"presence|air": 0.9216,
"brilliance|air": 0.9634
},
"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,
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
],
"lanes": [
0,
0,
0,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
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9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
8,
8,
7,
6,
6,
4,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 6.726
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.7298,
"at_s": 10.913,
"db_delta": -5.96,
"lanes_removed": 1.51,
"bars_held_s": 3.46,
"re_enters_at_s": 14.373
},
{
"position": 0.8106,
"at_s": 12.121,
"db_delta": -15.26,
"lanes_removed": 3.94,
"bars_held_s": 2.252,
"re_enters_at_s": 14.373
},
{
"position": 0.8913,
"at_s": 13.328,
"db_delta": -15.04,
"lanes_removed": -0.0,
"bars_held_s": 1.045,
"re_enters_at_s": 14.373
}
],
"raises": [
{
"position": 0.0404,
"start_s": 0.604,
"end_s": 10.356,
"db_delta": 125.51,
"lanes_added": 7.51,
"slope_db_per_s": 12.87
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.8509,
"at_s": 12.725,
"duration_s": 2.229
}
],
"tuttis": [
{
"position": 0.0435,
"at_s": 0.65,
"duration_s": 10.217,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.1829,
"seconds": 2.736,
"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": 1
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.488,
"time_to_hook_s": 0.604,
"time_to_hook_bars": 0.25,
"time_to_full_texture_s": 0.557,
"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
],
"values": [
0.0735,
0.5922,
0.7456,
0.7454,
0.7481,
0.7034,
0.7416,
0.7762,
0.7933,
0.757,
0.7592,
0.7167,
0.7878,
0.7407,
0.6719,
0.5153,
0.2508,
0.0351,
0.0395,
0.098,
0.0
],
"peak_position_normalised": 0.3571
}
},
"complexity_law": {
"available": true,
"bar_length_s": 2.415,
"bars": 6,
"index_per_bar": [
0.8664,
1.0,
0.9903,
0.9904,
0.8496,
0.0463
],
"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": 12.07,
"delta": -0.803,
"at_section_boundary": false
}
],
"steps_at_section_boundaries": 0,
"steps_total": 1,
"boundary_step_share": 0.0,
"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": 1.404,
"melodic_salience": 0.7639,
"voiced_fraction": 0.3476,
"note_count": 21,
"mean_lanes": 6.726,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 67.24,
"peak_position_normalised": 0.3696,
"peak_at_s": 5.526,
"arc_curve_db": [
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-74.43,
-18.22,
-17.77,
-18.02,
-18.6,
-18.63,
-17.16,
-16.96,
-17.68,
-17.75,
-17.96,
-17.69,
-16.92,
-19.4,
-25.2,
-36.74,
-52.34,
-69.21,
-112.84,
-86.76
],
"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
]
},
"register": {
"melody_span_semitones": 31.0,
"melody_tessitura_midi": 50.0,
"bass_floor_band": {
"sub": 0.00465,
"low_bass": 0.00835,
"bass": 0.09912,
"low_mid": 0.25206,
"mid": 0.23755,
"upper_mid": 0.20137,
"presence": 0.06244,
"brilliance": 0.06077,
"air": 0.03049,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.00465,
"low_bass": 0.00835,
"bass": 0.09912,
"low_mid": 0.25206,
"mid": 0.23755,
"upper_mid": 0.20137,
"presence": 0.06244,
"brilliance": 0.06077,
"air": 0.03049,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.05996,
"seam_ratio": 16.678,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.8822,
"head_rms_trend": 0.6724,
"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": 2099.1,
"spectral_centroid_curve_hz": [
0.0,
2183.8,
2697.5,
2524.6,
2747.0,
2303.1,
3060.2,
2861.2,
3320.2,
3013.7,
3221.2,
1739.8,
3437.9,
2200.3,
2146.3,
1301.7,
1010.7,
521.1,
1008.4,
2633.4,
0.0
],
"spectral_rolloff85_hz_mean": 4640.3,
"spectral_flatness_mean": 0.07633,
"signature_colour": "warm"
}
}
}