GPDO

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 2^{2k/n - 1}. The underlying GPS is a geometric series of pitches starting at 2/1 (1200 ¢) 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. GPDOs are close approximations of modes of the subharmonic series, also known as IFDOs.

Individual pages for GPDOs

• 1gpdo (equivalent to 1edo)
• 2gpdo
• 3gpdo
• 4gpdo
• 5gpdo

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