GPDO: Difference between revisions
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A '''GPDO''{{idiosyncratic}} (geometric pitch division of the [[octave]]) or '''EDQ'''{{idiosyncratic}} (equal division of the quatave) is a type of octave-repeating [[scale]] obtained by taking a segment from a [[GPS|geometric pitch sequence]]. The k-th step of n-GPDO is equal to 2<sup>2<sup>k/n</sup>-1</sup> times the root frequency. The underlying GPS is a geometric series of pitches starting at [[2/1]] (1200{{cent}}) and multiplying the previous pitch by 2<sup>1/n</sup> each time, and the segment from [[2/1]] to [[4/1]] is taken to construct a GPDO. | A '''GPDO''{{idiosyncratic}} (geometric pitch division of the [[octave]]) or '''EDQ'''{{idiosyncratic}} (equal division of the quatave) is a type of octave-repeating [[scale]] obtained by taking a segment from a [[GPS|geometric pitch sequence]]. The k-th step of n-GPDO is equal to 2<sup>2<sup>k/n</sup>-1</sup> times the root frequency. The underlying GPS is a geometric series of pitches starting at [[2/1]] (1200{{cent}}) and multiplying the previous pitch by 2<sup>1/n</sup> each time, and the segment from [[2/1]] to [[4/1]], spanning one octave, is taken to construct a GPDO. | ||
== Individual pages for GPDOs == | == Individual pages for GPDOs == | ||
Revision as of 03:18, 2 June 2024
A GPDO[idiosyncratic term] (geometric pitch division of the octave) or EDQ'[idiosyncratic term] (equal division of the quatave) is a type of octave-repeating scale obtained by taking a segment from a geometric pitch sequence. The k-th step of n-GPDO is equal to 22k/n-1 times the root frequency. 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.
Individual pages for GPDOs
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