Tag Archives: quotient space

B*tchin’ six dimensional 6-cube. The rainbow colours and glass panes really help this visualisation.  Examples of 6-dimensional things If it’s hard to envision 6 dimensions, consider this: the possible tunings of a guitar constitute a 6-dimensional space. You can tune to EADGBE (standard), … Continue reading

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The Geometry of Musical Chords

by Dmitri Tymoczko  A musical chord can be represented as a point in an orbifold. (An orbifold is a quotient manifold.) Line segments join notes of one chord to those of another. Composers in a wide range of styles have exploited … Continue reading

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