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kennethreitz
9da3ac8b28
- circle_of_fifths.py — visualize keys around the circle - chord_identifier.py — identify chords from notes and fingerings - key_explorer.py — explore keys, signatures, progressions, borrowed chords - temperament_comparison.py — compare equal, Pythagorean, and meantone - chord_tension.py — analyze tension, consonance, and voice leading - world_scales.py — scales from 6 musical traditions - fretboard_explorer.py — instruments, tunings, capo transposition - midi_converter.py — MIDI ↔ note ↔ frequency reference - progression_writer.py — famous progressions, Nashville numbers, random generation - interval_trainer.py — interval names, songs, and consonance ranking - overtone_series.py — harmonics and why chords sound good - key_detection.py — detect keys from melodies and chord progressions Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
53 lines
1.5 KiB
Python
53 lines
1.5 KiB
Python
"""Analyze harmonic tension and resolution across chords."""
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from pytheory import Chord
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print("Chord Tension Analysis")
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print("=" * 70)
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print()
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print(f"{'Chord':>20s} {'Tension':>8s} {'Harmony':>8s} {'Dissonance':>11s} {'Notes'}")
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print(f"{'─' * 20} {'─' * 8} {'─' * 8} {'─' * 11} {'─' * 15}")
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chords = [
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# Stable chords
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"C", "Am",
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# Moderate tension
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"Dm7", "Cmaj7",
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# High tension
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"G7", "Bdim",
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# Extended
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"Am7", "Cmaj9",
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]
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for name in chords:
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chord = Chord.from_name(name)
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t = chord.tension
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tones = " ".join(tone.name for tone in chord.tones)
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print(
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f"{name:>20s} {t['score']:>8.2f} {chord.harmony:>8.4f}"
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f" {chord.dissonance:>11.4f} {tones}"
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)
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# Show the V7 → I resolution
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print()
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print("─" * 70)
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print()
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print("The V7 → I resolution (the strongest pull in tonal music):")
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print()
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g7 = Chord.from_name("G7")
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c = Chord.from_name("C")
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print(f" G7 (dominant): tension={g7.tension['score']:.2f} "
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f"tritones={g7.tension['tritones']} "
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f"dominant_function={g7.tension['has_dominant_function']}")
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print(f" C (tonic): tension={c.tension['score']:.2f} "
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f"tritones={c.tension['tritones']} "
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f"dominant_function={c.tension['has_dominant_function']}")
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print()
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print("Voice leading (G7 → C):")
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for src, dst, motion in g7.voice_leading(c):
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direction = "↑" if motion > 0 else "↓" if motion < 0 else "="
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print(f" {src.name:3s} → {dst.name:3s} ({direction} {abs(motion)} semitones)")
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