GPDO: Difference between revisions
Jump to navigation
Jump to search
CompactStar (talk | contribs) No edit summary |
I approve of the term GPDO, making us three; it's also the term that's well connected to other similar objects (-template: idiosyncratic). |
||
| Line 1: | Line 1: | ||
A '''GPDO''' | A '''GPDO''' ('''geometric pitch division of the octave''') or '''EDQ'''{{idiosyncratic}} (equal division of the [[quatave]]) is a type of [[octave]]-[[period|repeating]] [[tuning system]] obtained by taking a segment from a [[GPS|geometric pitch sequence]]. In the first octave, the [[frequency ratio]] of the ''k''-th step of ''n''-GPDO is 2<sup>2<sup>''k''/''n''</sup> - 1</sup>. 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 12:08, 2 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.
Individual pages for GPDOs
|
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |