GPDO: Difference between revisions

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== Individual pages for GPDOs ==   
== Individual pages for GPDOs ==   
* [[1gpdo]]
* 1gpdo (equivalent to [[1edo]])
* [[2gpdo]]
* [[2gpdo]]
* [[3gpdo]]
* [[3gpdo]]
* [[4gpdo]]
* [[5gpdo]]


[[Category:Lists of scales]]
[[Category:Lists of scales]]


{{stub}}
{{stub}}

Latest revision as of 02:44, 3 June 2024

A GPDO (geometric pitch division of the octave) or EDQ[idiosyncratic term] (equal division of the quatave) is a type of octave-repeating tuning system obtained by taking a segment from a geometric pitch sequence. In the first octave, the frequency ratio of the k-th step of n-GPDO is 22k/n - 1. The underlying GPS is a geometric series of pitches starting at 2/1 (1200 ¢) and multiplying the previous pitch by 21/n each time, and the segment from 2/1 to 4/1, spanning one octave, is taken to construct a GPDO. GPDOs are close approximations of modes of the subharmonic series, also known as IFDOs.

Individual pages for GPDOs

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