music/exemplars/formula_cards/UNMATCHED__159_PR_Video_BGM__Classical_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__159_PR_Video_BGM__Classical_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\\159 PR Video BGM _Classical 4_.m4a",
"sha256": "28890b2494202e2b341866de8643afb668d6299268feb848e5f8334f8dace4a7",
"bytes": 996064,
"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": "2026-08-07T04:00:49+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": 14.35,
"section_boundaries_s": [
0.0,
0.975,
10.588,
14.35
],
"section_count": 3,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.7395,
"is_repeat": false
},
{
"section": 2,
"most_like_section": 0,
"similarity": 0.8809,
"is_repeat": false
}
],
"novelty_peak_strength": [
0.9811,
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 152.0,
"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
],
"curve_bpm": [
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
143.55,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
215.33,
215.33,
258.4,
258.4
],
"adjustment_events": [
{
"position_s": 0.0,
"duration_s": 4.13,
"delta_bpm": -27.71,
"shape": "ramp"
},
{
"position_s": 12.17,
"duration_s": 1.86,
"delta_bpm": 30.49,
"shape": "step"
}
],
"dispersion_bpm": 28.954,
"rubato_depth_bpm": 22.8
},
"global_bpm": 143.55,
"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": 143.55,
"tempo_bpm_median_local": 143.55,
"tempo_iqr_bpm": 22.8,
"tempo_stability": 0.3647,
"beat_interval_cv": 0.0391
},
"dominant_onset_period_s": 0.418,
"dominant_onset_period_bpm": 143.55,
"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": 0.532,
"onset_rate_per_s": 10.784
}
},
"tonality": {
"key": "D",
"mode": "minor",
"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": 0.801,
"onset_bars": 0.51,
"pitch_contour": "D---UDD",
"interval_vocabulary_semitones": [
0,
1,
7,
9
],
"intervals": [
-8.67,
0.0,
0.0,
0.0,
7.0,
-7.0,
-1.33
],
"range_semitones": 10.0,
"distinctive_deviation": {
"largest_interval_semitones": -8.67,
"at_note_index": 1,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.9145,
"self_similarity_baseline": 0.8065,
"self_similarity_lift": 0.1079,
"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": 1.045,
"exit_s": 12.33,
"active_fraction": 0.7868,
"segments": [
[
1.045,
12.33
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.789,
"exit_s": 12.283,
"active_fraction": 0.8013,
"segments": [
[
0.789,
12.283
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.557,
"exit_s": 12.353,
"active_fraction": 0.8223,
"segments": [
[
0.557,
12.353
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.557,
"exit_s": 12.655,
"active_fraction": 0.8433,
"segments": [
[
0.557,
12.655
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.58,
"exit_s": 12.632,
"active_fraction": 0.8401,
"segments": [
[
0.58,
12.632
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.604,
"exit_s": 12.701,
"active_fraction": 0.8433,
"segments": [
[
0.604,
12.701
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.557,
"exit_s": 12.701,
"active_fraction": 0.8465,
"segments": [
[
0.557,
12.701
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.58,
"exit_s": 12.585,
"active_fraction": 0.8368,
"segments": [
[
0.58,
12.585
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.975,
"exit_s": 12.33,
"active_fraction": 0.7916,
"segments": [
[
0.975,
12.33
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.9739,
"sub|bass": 0.9568,
"sub|low_mid": 0.933,
"sub|mid": 0.9365,
"sub|upper_mid": 0.933,
"sub|presence": 0.9294,
"sub|brilliance": 0.9402,
"sub|air": 0.9939,
"low_bass|bass": 0.9745,
"low_bass|low_mid": 0.9502,
"low_bass|mid": 0.9538,
"low_bass|upper_mid": 0.9502,
"low_bass|presence": 0.9466,
"low_bass|brilliance": 0.9575,
"low_bass|air": 0.9799,
"bass|low_mid": 0.9751,
"bass|mid": 0.975,
"bass|upper_mid": 0.9676,
"bass|presence": 0.9714,
"bass|brilliance": 0.9788,
"bass|air": 0.9627,
"low_mid|mid": 0.9962,
"low_mid|upper_mid": 0.9924,
"low_mid|presence": 0.9962,
"low_mid|brilliance": 0.9923,
"low_mid|air": 0.9387,
"mid|upper_mid": 0.9924,
"mid|presence": 0.9924,
"mid|brilliance": 0.9962,
"mid|air": 0.9423,
"upper_mid|presence": 0.9962,
"upper_mid|brilliance": 0.9885,
"upper_mid|air": 0.9387,
"presence|brilliance": 0.9885,
"presence|air": 0.9351,
"brilliance|air": 0.9459
},
"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
],
"lanes": [
0,
0,
0,
3,
6,
7,
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,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
5,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 7.412
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.8333,
"at_s": 11.958,
"db_delta": -6.04,
"lanes_removed": 1.46,
"bars_held_s": 1.811,
"re_enters_at_s": 13.769
},
{
"position": 0.9175,
"at_s": 13.166,
"db_delta": -34.77,
"lanes_removed": 1.0,
"bars_held_s": 0.604,
"re_enters_at_s": 13.769
}
],
"raises": [
{
"position": 0.0421,
"start_s": 0.604,
"end_s": 5.341,
"db_delta": 135.81,
"lanes_added": 6.56,
"slope_db_per_s": 28.671
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.9256,
"at_s": 13.282,
"duration_s": 1.068
}
],
"tuttis": [
{
"position": 0.0761,
"at_s": 1.091,
"duration_s": 11.122,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.1099,
"seconds": 1.576,
"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": 2,
"raises": 1,
"breaks": 2,
"tuttis": 1
}
},
"opening_and_flow_law": {
"onset_type": "silence_then_hit",
"first_sound_at_s": 0.511,
"time_to_hook_s": 0.801,
"time_to_hook_bars": 0.51,
"time_to_full_texture_s": 1.045,
"time_to_full_texture_bars": 0.66,
"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
],
"values": [
0.0435,
0.4336,
0.6944,
0.6949,
0.7123,
0.7403,
0.7639,
0.6819,
0.611,
0.6132,
0.6423,
0.6442,
0.6611,
0.696,
0.7344,
0.7948,
0.6878,
0.3598,
0.0929,
0.0006
],
"peak_position_normalised": 0.7411
}
},
"complexity_law": {
"available": true,
"bar_length_s": 1.5789,
"bars": 9,
"index_per_bar": [
0.7116,
0.9904,
0.9992,
0.9933,
0.9972,
0.9967,
1.0,
0.9323,
0.1577
],
"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": 1.58,
"delta": 0.279,
"at_section_boundary": true
},
{
"bar": 8,
"at_s": 12.63,
"delta": -0.775,
"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": 0.557,
"melodic_salience": 0.6068,
"voiced_fraction": 0.1665,
"note_count": 8,
"mean_lanes": 7.412,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 50.32,
"peak_position_normalised": 0.2864,
"peak_at_s": 4.11,
"arc_curve_db": [
-67.28,
-73.9,
-13.38,
-12.65,
-11.86,
-10.64,
-10.81,
-13.62,
-15.9,
-15.64,
-14.51,
-14.67,
-14.05,
-12.13,
-10.78,
-10.76,
-14.48,
-29.57,
-82.18,
-92.83
],
"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
]
},
"register": {
"melody_span_semitones": 10.0,
"melody_tessitura_midi": 38.0,
"bass_floor_band": {
"sub": 0.00706,
"low_bass": 0.10163,
"bass": 0.21209,
"low_mid": 0.08096,
"mid": 0.25648,
"upper_mid": 0.23342,
"presence": 0.06979,
"brilliance": 0.03262,
"air": 0.00574,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.00706,
"low_bass": 0.10163,
"bass": 0.21209,
"low_mid": 0.08096,
"mid": 0.25648,
"upper_mid": 0.23342,
"presence": 0.06979,
"brilliance": 0.03262,
"air": 0.00574,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.01998,
"seam_ratio": 50.052,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.7906,
"head_rms_trend": 0.8559,
"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": 1788.6,
"spectral_centroid_curve_hz": [
0.0,
1405.1,
2540.5,
1821.1,
1567.2,
1442.9,
2165.7,
1716.9,
1327.4,
1492.4,
1683.1,
1761.8,
1557.7,
1603.8,
1432.5,
2534.0,
2317.3,
1911.1,
1827.9,
0.0
],
"spectral_rolloff85_hz_mean": 3613.0,
"spectral_flatness_mean": 0.07867,
"signature_colour": "warm"
}
}
}