GPDO: Difference between revisions

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^{2^k/n-1} 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 2^1/n each time, and the segment from [[2/1]] to [[4/1]], spanning one octave, is taken to construct a GPDO.