View source for 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 ==  
* [[1gpdo]]
* [[2gpdo]]
* [[3gpdo]]

[[Category:Lists of scales]]

{{stub}}