No-fives subgroup temperaments: Difference between revisions

The 2.3.13.23 subgroup is remarkable for containing not one but two [[superparticular]] intervals as small as these. Tempering out both of them gives us a rank-2 temperament where a sharp whole tone of [[26/23]] is the generator, two of which stack to a [[23/18]] supermajor third, and eight of which stack to a [[8/3]] perfect eleventh. [[17edo]] is a trivial tuning where 26/23 is equated to [[9/8]], tempering out the comma [[208/207]]. More accurate tunings of shoal create a 17-note [[MOS]] scale, serving as a [[circulating temperament]] of 17edo, where 208/207 is the [[chroma]] between large and small steps.

[[Comma list]]: [[3888/3887]], [[12168/12167]]