User guides¶

  • Dichord orbifold
    • Introduction
    • Importing modules
    • Configure an orbichord generator
    • Generator dichords form a Mӧbius strip
  • Trichord orbifold
    • Introduction
    • Importing modules
    • Configure an orbichord generator
    • Plotting 3-node chord space
    • Slicing the prism
  • Voice leading in C major triads
    • Introduction
    • Importing modules
    • Configure an orbichord generator
    • Visualizing chord graph with holoview
    • Conclusion
  • Voice leading in C major triads and their permutations
    • Introduction
    • Importing modules
    • Configure an orbichord generator
    • Visualizing chord graph with holoview
    • Graph decomposition into connected components
    • Analyzing the good twin
    • Analyzing the bad twin
    • Music modes, voice leading and chord inversions
    • Ascending chord progression
    • Conclusion
  • Chromatic voice leading in dichords
    • Introduction
    • Importing modules
    • Configure an orbichord generator
    • Chord graph
    • Visualizing chord graph with holoview
    • Discrete Voice-Leading Lattices
  • Chromatic voice leading in common trichords
    • Introduction
    • Import module
    • Configure an orbichord generator
    • Discrete Voice-Leading Lattices
  • Chromatic voice leading in common tetrachords
    • Introduction
    • Import module
    • Configure an orbichord generator
    • Discrete Voice-Leading Lattices
  • Chromatic voice leading in common trichords
    • Introduction
    • Import module
    • Configure an orbichord generator
  • The circule of thirds with inversions
    • Graph cycle for efficient voice leading graph
    • Listening to contrapuntal and minimal voice-leading relationships among chords

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  • User guides
    • Dichord orbifold
    • Trichord orbifold
    • Voice leading in C major triads
    • Voice leading in C major triads and their permutations
    • Chromatic voice leading in dichords
    • Chromatic voice leading in common trichords
    • Chromatic voice leading in common tetrachords
    • Chromatic voice leading in common trichords
    • The circule of thirds with inversions
  • orbichord package

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  • Documentation overview
    • Previous: Welcome to Orbichord’s documentation!
    • Next: Dichord orbifold

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