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#orbifold — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #orbifold, aggregated by home.social.

  1. `A musical chord can be represented as a point in a geometrical space called an #orbifold. Line segments represent mappings from the notes of one chord to those of another. Composers in a wide range of styles have exploited the non-Euclidean geometry of these spaces, typically by using short line segments between structurally similar chords. Such line segments exist only when chords are nearly symmetrical under translation, reflection, or permutation.`

    science.org/doi/abs/10.1126/sc

    #geometry #music

  2. `A musical chord can be represented as a point in a geometrical space called an #orbifold. Line segments represent mappings from the notes of one chord to those of another. Composers in a wide range of styles have exploited the non-Euclidean geometry of these spaces, typically by using short line segments between structurally similar chords. Such line segments exist only when chords are nearly symmetrical under translation, reflection, or permutation.`

    science.org/doi/abs/10.1126/sc

    #geometry #music

  3. `A musical chord can be represented as a point in a geometrical space called an #orbifold. Line segments represent mappings from the notes of one chord to those of another. Composers in a wide range of styles have exploited the non-Euclidean geometry of these spaces, typically by using short line segments between structurally similar chords. Such line segments exist only when chords are nearly symmetrical under translation, reflection, or permutation.`

    science.org/doi/abs/10.1126/sc

    #geometry #music

  4. `A musical chord can be represented as a point in a geometrical space called an #orbifold. Line segments represent mappings from the notes of one chord to those of another. Composers in a wide range of styles have exploited the non-Euclidean geometry of these spaces, typically by using short line segments between structurally similar chords. Such line segments exist only when chords are nearly symmetrical under translation, reflection, or permutation.`

    science.org/doi/abs/10.1126/sc

    #geometry #music

  5. `A musical chord can be represented as a point in a geometrical space called an #orbifold. Line segments represent mappings from the notes of one chord to those of another. Composers in a wide range of styles have exploited the non-Euclidean geometry of these spaces, typically by using short line segments between structurally similar chords. Such line segments exist only when chords are nearly symmetrical under translation, reflection, or permutation.`

    science.org/doi/abs/10.1126/sc

    #geometry #music