Yer: Difference between revisions

Cmloegcmluin (talk | contribs)
fix link to map-merging
Cmloegcmluin (talk | contribs)
Line 1,263: Line 1,263:
⟨ 0 0 1 0 1 ] ⟩
⟨ 0 0 1 0 1 ] ⟩


Again that's still in the 2.11.13.17.19 subgroup. And this one is the map-merge of 13&24&33, with [[generators]] 1200.4457, 4149.8305, 4442.6991 (that 1st generator modulo the [[period]] is 548.4934 and the 2nd generator is 841.362). So one ~17 is down two ~11, and one ~19 is down one ~11 and up a ~13. Cool! This you'd call "Yer temperament" then. It has been registered here: [[Subgroup_temperaments#Yer_.28rank_3.29]]
Again that's still in the 2.11.13.17.19 subgroup. And this one is the map-merge of 13&24&33, with [[generators]] 1200.4457, 4149.8305, 4442.6991 (that 1st generator modulo the [[period]] is 548.4934 and the 2nd generator is 841.362). So one ~17 is down two ~11, and one ~19 is down one ~11 and up a ~13. Cool! This you'd call "Yer temperament" then. It has been registered here: [[No-threes subgroup temperaments#Yer (rank 3)]]


A 13-note scale with only three scale step sizes is possible here. It's 7L 4M 2s, with the pattern LMLLMLsLMLMLs, where L ≈ 103.4¢, M ≈ 85.9¢, and s ≈ 66.2¢:
A 13-note scale with only three scale step sizes is possible here. It's 7L 4M 2s, with the pattern LMLLMLsLMLMLs, where L ≈ 103.4¢, M ≈ 85.9¢, and s ≈ 66.2¢:
Retrieved from "https://en.xen.wiki/w/Yer"