music/exemplars/formula_cards/UNMATCHED__170_PR_Video_BGM__Mature_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__170_PR_Video_BGM__Mature_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\\170 PR Video BGM _Mature 3_.m4a",
"sha256": "ca91cd63c82208d7810fbb36c3433aa3386576ac7cf0841847f668360c5956e4",
"bytes": 988089,
"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": "2026-08-07T04:02:30+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": 13.932,
"section_boundaries_s": [
0.0,
0.836,
11.262,
13.932
],
"section_count": 3,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.895,
"is_repeat": false
},
{
"section": 2,
"most_like_section": 0,
"similarity": 0.9242,
"is_repeat": true
}
],
"novelty_peak_strength": [
0.6772,
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 172.27,
"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
],
"curve_bpm": [
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
69.84,
117.45,
117.45,
117.45,
117.45,
117.45,
117.45,
69.84,
69.84,
69.84,
69.84,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
117.45,
117.45,
117.45,
234.91,
234.91,
234.91,
234.91,
143.55,
143.55
],
"adjustment_events": [
{
"position_s": 2.04,
"duration_s": 5.74,
"delta_bpm": -52.49,
"shape": "step"
},
{
"position_s": 9.8,
"duration_s": 1.79,
"delta_bpm": -20.49,
"shape": "step"
}
],
"dispersion_bpm": 46.152,
"rubato_depth_bpm": 165.07
},
"global_bpm": 117.45,
"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": 117.45,
"tempo_bpm_median_local": 117.45,
"tempo_iqr_bpm": 18.55,
"tempo_stability": 0.3684,
"beat_interval_cv": 0.0255
},
"dominant_onset_period_s": 0.3483,
"dominant_onset_period_bpm": 172.27,
"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": 0.574,
"onset_rate_per_s": 10.749
}
},
"tonality": {
"key": "A",
"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": 0.464,
"onset_bars": 0.33,
"pitch_contour": "DUD-U-DUU-U---D",
"interval_vocabulary_semitones": [
0,
1,
2,
5,
6,
8
],
"intervals": [
-5.0,
5.33,
-5.67,
0.33,
5.0,
0.0,
-4.67,
0.67,
2.0,
0.33,
1.33,
0.33,
0.0,
0.0,
-8.0
],
"range_semitones": 8.33,
"distinctive_deviation": {
"largest_interval_semitones": -8.0,
"at_note_index": 15,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.8449,
"self_similarity_baseline": 0.7971,
"self_similarity_lift": 0.0478,
"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": 0.511,
"exit_s": 11.192,
"active_fraction": 0.7238,
"segments": [
[
0.511,
2.159
],
[
2.392,
9.66
],
[
10.077,
11.192
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 1.022,
"exit_s": 11.192,
"active_fraction": 0.7171,
"segments": [
[
1.022,
2.159
],
[
2.392,
9.752
],
[
10.008,
11.192
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 1.695,
"exit_s": 11.285,
"active_fraction": 0.6572,
"segments": [
[
1.695,
6.153
],
[
6.85,
7.523
],
[
8.22,
8.893
],
[
9.938,
11.285
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.488,
"exit_s": 11.331,
"active_fraction": 0.7671,
"segments": [
[
0.488,
6.13
],
[
6.316,
11.331
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.488,
"exit_s": 11.471,
"active_fraction": 0.7887,
"segments": [
[
0.488,
11.471
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.488,
"exit_s": 11.447,
"active_fraction": 0.787,
"segments": [
[
0.488,
11.447
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.488,
"exit_s": 11.355,
"active_fraction": 0.7521,
"segments": [
[
0.488,
3.39
],
[
3.506,
8.916
],
[
9.427,
11.355
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.488,
"exit_s": 11.517,
"active_fraction": 0.792,
"segments": [
[
0.488,
11.517
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.488,
"exit_s": 11.726,
"active_fraction": 0.807,
"segments": [
[
0.488,
11.726
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.9549,
"sub|bass": 0.8122,
"sub|low_mid": 0.9145,
"sub|mid": 0.9177,
"sub|upper_mid": 0.9197,
"sub|presence": 0.8913,
"sub|brilliance": 0.9139,
"sub|air": 0.8969,
"low_bass|bass": 0.8438,
"low_bass|low_mid": 0.906,
"low_bass|mid": 0.9093,
"low_bass|upper_mid": 0.9112,
"low_bass|presence": 0.8827,
"low_bass|brilliance": 0.9055,
"low_bass|air": 0.8887,
"bass|low_mid": 0.8528,
"bass|mid": 0.8333,
"bass|upper_mid": 0.8351,
"bass|presence": 0.8575,
"bass|brilliance": 0.8298,
"bass|air": 0.8144,
"low_mid|mid": 0.9726,
"low_mid|upper_mid": 0.9746,
"low_mid|presence": 0.9467,
"low_mid|brilliance": 0.9685,
"low_mid|air": 0.9505,
"mid|upper_mid": 0.9979,
"mid|presence": 0.9536,
"mid|brilliance": 0.9958,
"mid|air": 0.9773,
"upper_mid|presence": 0.9556,
"upper_mid|brilliance": 0.9937,
"upper_mid|air": 0.9753,
"presence|brilliance": 0.9496,
"presence|air": 0.932,
"brilliance|air": 0.9814
},
"simultaneity_curve": {
"times_s": [
0.0,
0.186,
0.372,
0.557,
0.743,
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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
],
"lanes": [
0,
0,
0,
9,
7,
7,
9,
9,
8,
8,
9,
9,
7,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
8,
9,
8,
9,
9,
9,
9,
8,
9,
9,
8,
9,
9,
9,
8,
9,
7,
9,
9,
6,
8,
9,
9,
9,
9,
9,
9,
6,
2,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 6.792
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.82,
"at_s": 11.424,
"db_delta": -23.98,
"lanes_removed": 6.8,
"bars_held_s": 1.927,
"re_enters_at_s": 13.351
},
{
"position": 0.9067,
"at_s": 12.632,
"db_delta": -17.21,
"lanes_removed": -0.0,
"bars_held_s": 0.72,
"re_enters_at_s": 13.351
}
],
"raises": [
{
"position": 0.0433,
"start_s": 0.604,
"end_s": 1.184,
"db_delta": 125.88,
"lanes_added": 6.36,
"slope_db_per_s": 216.845
},
{
"position": 0.7333,
"start_s": 10.217,
"end_s": 10.612,
"db_delta": 6.06,
"lanes_added": 1.33,
"slope_db_per_s": 15.356
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.441
},
{
"position": 0.8733,
"at_s": 12.167,
"duration_s": 1.765
}
],
"tuttis": [
{
"position": 0.1767,
"at_s": 2.461,
"duration_s": 3.599,
"lanes": 9
},
{
"position": 0.7267,
"at_s": 10.124,
"duration_s": 0.998,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.1614,
"seconds": 2.249,
"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": 2,
"breaks": 2,
"tuttis": 2
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.464,
"time_to_hook_s": 0.464,
"time_to_hook_bars": 0.33,
"time_to_full_texture_s": 0.511,
"time_to_full_texture_bars": 0.37,
"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": [
0.0572,
0.5796,
0.6264,
0.6197,
0.7321,
0.7118,
0.6923,
0.6909,
0.7058,
0.6575,
0.6536,
0.656,
0.675,
0.6961,
0.7115,
0.6402,
0.2359,
0.1965,
0.162
],
"peak_position_normalised": 0.7233
}
},
"complexity_law": {
"available": true,
"bar_length_s": 1.3932,
"bars": 10,
"index_per_bar": [
0.7349,
0.9763,
0.9913,
1.0,
0.9681,
0.9834,
0.9587,
0.9355,
0.4272,
0.0213
],
"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": 1.39,
"delta": 0.241,
"at_section_boundary": true
},
{
"bar": 8,
"at_s": 11.15,
"delta": -0.508,
"at_section_boundary": true
},
{
"bar": 9,
"at_s": 12.54,
"delta": -0.406,
"at_section_boundary": true
}
],
"steps_at_section_boundaries": 3,
"steps_total": 3,
"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": 2.153,
"melodic_salience": 0.8982,
"voiced_fraction": 0.5512,
"note_count": 30,
"mean_lanes": 6.792,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 61.95,
"peak_position_normalised": 0.225,
"peak_at_s": 3.135,
"arc_curve_db": [
-62.16,
-69.18,
-14.17,
-12.98,
-11.26,
-11.43,
-12.14,
-11.88,
-12.8,
-13.56,
-13.61,
-12.9,
-14.04,
-14.91,
-11.32,
-20.83,
-41.21,
-61.55,
-106.54
],
"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": 9.33,
"melody_tessitura_midi": 42.0,
"bass_floor_band": {
"sub": 0.02192,
"low_bass": 0.25798,
"bass": 0.46691,
"low_mid": 0.05875,
"mid": 0.01125,
"upper_mid": 0.02105,
"presence": 0.09617,
"brilliance": 0.03836,
"air": 0.02745,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.02192,
"low_bass": 0.25798,
"bass": 0.46691,
"low_mid": 0.05875,
"mid": 0.01125,
"upper_mid": 0.02105,
"presence": 0.09617,
"brilliance": 0.03836,
"air": 0.02745,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.05807,
"seam_ratio": 17.222,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.8589,
"head_rms_trend": 0.6257,
"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": 3476.5,
"spectral_centroid_curve_hz": [
0.0,
5606.2,
2898.4,
3387.3,
3292.9,
2898.3,
2631.3,
2880.5,
3883.5,
3971.4,
2388.7,
3548.4,
4883.7,
3471.5,
2836.5,
3086.2,
5613.3,
6179.9,
5150.8
],
"spectral_rolloff85_hz_mean": 6788.8,
"spectral_flatness_mean": 0.12673,
"signature_colour": "bright"
}
}
}