Diaschismic
From Xenharmonic Reference
Diaschismic, 2.3.5[10 & 12], is a 5-limit temperament equating 45/32 to the half-octave, thereby
- equating a stack of two 5/4's and two 9/8's to the octave
- equivalently, it equates stack of one 5/4 and two 16/15's to the half-octave.
The generator of Diaschismic can be taken to be 16/15 or 3/2.
Notable tunings of Diaschismic that are more accurate in the 5-limit are 34edo and 46edo. 22edo is another notable Diaschismic tuning.
Diaschismic has an endoparticular extension that adds prime 17, equating the 16/15 generator to 17/16. Adding prime 7 accurately is harder; Pajara provides a simple albeit lower-accuracy extension to prime 7.
