User:Squib/Drafts/5.7.11.13 subgroup
< User:Squib | Drafts
The 5.7.11.13 subgroup is a just intonation subgroup consisting of rational intervals where 5, 7, 11, and 13 are the only allowable prime factors, so that every such interval may be written as a ratio of integers which are products of 5, 7, 11, and 13; this makes it a rank-4 system.
The subgroup can be very easily be collapsed into a rank-3 temperament by tempering out 847/845
Regular temperaments
Rank-1 temperaments
Some ED5s which are strong in this subgroup, by no particular criteria: 10, 29, 39, 57, 67, 86, 96