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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(More)
In my talk, I will describe five properties that help make music sound tonal – or “good,” to most listeners. I will then show that combining these properties is mathematically non-trivial, with the(More)
This article relates two categories of music-theoretical graphs, in which points represent notes and chords, respectively. It unifies previous work by Brower, Callender, Cohn, Douthett, Gollin,(More)
Taking David Lewin’s work as a point of departure, this essay uses geometry to reexamine familiar music-theoretical assumptions about intervals and transformations. Section 1 introduces the problem(More)