music/exemplars/formula_cards/UNMATCHED__31_Obtained_a_Gym_Badge_.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__31_Obtained_a_Gym_Badge_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon X & Pokémon Y_ Super Music Colle\\31 Obtained a Gym Badge!.m4a",
"sha256": "7fd010d28bdb11c488cc7dca20598f0a0d7d2e18772efa08f9687380b5c5684b",
"bytes": 780362,
"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": "2026-08-07T04:23:20+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": 7.338,
"section_boundaries_s": [
0.0,
0.673,
6.734,
7.338
],
"section_count": 3,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.6979,
"is_repeat": false
},
{
"section": 2,
"most_like_section": 0,
"similarity": 0.9869,
"is_repeat": true
}
],
"novelty_peak_strength": [
1.0,
0.373
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 143.55,
"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
],
"curve_bpm": [
123.05,
123.05,
123.05,
123.05,
123.05,
123.05,
123.05,
123.05,
123.05,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
258.4
],
"adjustment_events": [
{
"position_s": 0.0,
"duration_s": 3.44,
"delta_bpm": -26.57,
"shape": "ramp"
}
],
"dispersion_bpm": 30.295,
"rubato_depth_bpm": 20.508
},
"global_bpm": 123.05,
"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": 123.05,
"tempo_bpm_median_local": 143.55,
"tempo_iqr_bpm": 20.51,
"tempo_stability": 0.4286,
"beat_interval_cv": 0.0228
},
"dominant_onset_period_s": 0.1393,
"dominant_onset_period_bpm": 430.66,
"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": 0.616,
"onset_rate_per_s": 10.733
}
},
"tonality": {
"key": "D",
"mode": "minor",
"windowed_key_agreement": 0.5,
"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": false,
"reason": "only 2 melodic notes extracted"
},
"motif_economy": {
"self_similarity_peak": 0.902,
"self_similarity_baseline": 0.7765,
"self_similarity_lift": 0.1255,
"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": 0.673,
"exit_s": 5.875,
"active_fraction": 0.6814,
"segments": [
[
0.673,
3.135
],
[
3.367,
5.875
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.673,
"exit_s": 5.364,
"active_fraction": 0.6404,
"segments": [
[
0.673,
5.364
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.673,
"exit_s": 5.782,
"active_fraction": 0.6972,
"segments": [
[
0.673,
5.782
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.557,
"exit_s": 5.712,
"active_fraction": 0.7035,
"segments": [
[
0.557,
5.712
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.557,
"exit_s": 5.526,
"active_fraction": 0.6782,
"segments": [
[
0.557,
5.526
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.557,
"exit_s": 5.596,
"active_fraction": 0.6877,
"segments": [
[
0.557,
5.596
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.557,
"exit_s": 5.526,
"active_fraction": 0.6782,
"segments": [
[
0.557,
5.526
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.557,
"exit_s": 5.712,
"active_fraction": 0.7035,
"segments": [
[
0.557,
5.712
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.58,
"exit_s": 5.735,
"active_fraction": 0.7035,
"segments": [
[
0.58,
5.735
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.8622,
"sub|bass": 0.9422,
"sub|low_mid": 0.9087,
"sub|mid": 0.8739,
"sub|upper_mid": 0.887,
"sub|presence": 0.8739,
"sub|brilliance": 0.9087,
"sub|air": 0.917,
"low_bass|bass": 0.9186,
"low_bass|low_mid": 0.9103,
"low_bass|mid": 0.9442,
"low_bass|upper_mid": 0.9312,
"low_bass|presence": 0.9442,
"low_bass|brilliance": 0.9103,
"low_bass|air": 0.9103,
"bass|low_mid": 0.9646,
"bass|mid": 0.9292,
"bass|upper_mid": 0.9425,
"bass|presence": 0.9292,
"bass|brilliance": 0.9646,
"bass|air": 0.9733,
"low_mid|mid": 0.9641,
"low_mid|upper_mid": 0.9776,
"low_mid|presence": 0.9641,
"low_mid|brilliance": 1.0,
"low_mid|air": 0.9911,
"mid|upper_mid": 0.9862,
"mid|presence": 1.0,
"mid|brilliance": 0.9641,
"mid|air": 0.9554,
"upper_mid|presence": 0.9862,
"upper_mid|brilliance": 0.9776,
"upper_mid|air": 0.9687,
"presence|brilliance": 0.9641,
"presence|air": 0.9554,
"brilliance|air": 0.9911
},
"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
],
"lanes": [
0,
0,
0,
5,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
8,
8,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
8,
6,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 6.174
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.6646,
"at_s": 4.876,
"db_delta": -6.49,
"lanes_removed": 0.2,
"bars_held_s": 1.881,
"re_enters_at_s": 6.757
},
{
"position": 0.8291,
"at_s": 6.084,
"db_delta": -15.06,
"lanes_removed": 3.04,
"bars_held_s": 0.673,
"re_enters_at_s": 6.757
}
],
"raises": [
{
"position": 0.0823,
"start_s": 0.604,
"end_s": 4.83,
"db_delta": 129.51,
"lanes_added": 7.74,
"slope_db_per_s": 30.647
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.488
},
{
"position": 0.8829,
"at_s": 6.478,
"duration_s": 0.859
}
],
"tuttis": [
{
"position": 0.1044,
"at_s": 0.766,
"duration_s": 2.368,
"lanes": 9
},
{
"position": 0.4589,
"at_s": 3.367,
"duration_s": 1.997,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.1893,
"seconds": 1.389,
"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": 2
}
},
"opening_and_flow_law": {
"onset_type": "silence_then_hit",
"first_sound_at_s": 0.511,
"time_to_hook_s": null,
"time_to_hook_bars": null,
"time_to_full_texture_s": 0.673,
"time_to_full_texture_bars": 0.4,
"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
],
"values": [
0.0508,
0.6325,
0.7581,
0.7902,
0.7832,
0.7983,
0.7567,
0.6376,
0.1537,
0.0669
],
"peak_position_normalised": 0.5316
}
},
"complexity_law": {
"available": true,
"bar_length_s": 1.6719,
"bars": 4,
"index_per_bar": [
0.7777,
0.9915,
1.0,
0.5561
],
"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": 1.67,
"delta": 0.214,
"at_section_boundary": true
},
{
"bar": 3,
"at_s": 5.02,
"delta": -0.444,
"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": 0.273,
"melodic_salience": 0.3129,
"voiced_fraction": 0.09,
"note_count": 2,
"mean_lanes": 6.174,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 190.94,
"peak_position_normalised": 0.5095,
"peak_at_s": 3.738,
"arc_curve_db": [
-64.31,
-69.69,
-10.18,
-10.48,
-10.62,
-9.69,
-10.37,
-19.51,
-36.79,
-96.05
],
"arc_times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72,
4.46,
5.2,
5.94,
6.69
]
},
"register": {
"melody_span_semitones": 10.0,
"melody_tessitura_midi": 41.0,
"bass_floor_band": {
"sub": 0.00519,
"low_bass": 0.03538,
"bass": 0.18564,
"low_mid": 0.14752,
"mid": 0.21928,
"upper_mid": 0.17555,
"presence": 0.16829,
"brilliance": 0.05554,
"air": 0.0076,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.00519,
"low_bass": 0.03538,
"bass": 0.18564,
"low_mid": 0.14752,
"mid": 0.21928,
"upper_mid": 0.17555,
"presence": 0.16829,
"brilliance": 0.05554,
"air": 0.0076,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.01667,
"seam_ratio": 59.972,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.9084,
"head_rms_trend": 0.9076,
"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": 2040.1,
"spectral_centroid_curve_hz": [
0.0,
2436.7,
2143.8,
2351.8,
2271.8,
2284.3,
2279.0,
2365.8,
2279.1,
1454.1
],
"spectral_rolloff85_hz_mean": 4109.3,
"spectral_flatness_mean": 0.1505,
"signature_colour": "warm"
}
}
}