GPDO: Difference between revisions
Created page with "{{Novelty}} An '''EDQ'''{{idiosyncratic}} is a type of tuning system for GPS that divides the Quatave, an double-exponential octave’s variant into equal steps. == I..." |
CompactStar (talk | contribs) No edit summary |
||
| (19 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
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. GPDOs are close approximations of modes of the [[subharmonic series]], also known as [[IFDO]]s. | |||
== Individual pages for | == Individual pages for GPDOs == | ||
* [[ | * 1gpdo (equivalent to [[1edo]]) | ||
* [[ | * [[2gpdo]] | ||
* [[ | * [[3gpdo]] | ||
* [[ | * [[4gpdo]] | ||
* [[ | * [[5gpdo]] | ||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
{{stub}} | |||