Stearnsmic clan: Difference between revisions
→Stearnscape: +obvious 17-limit extension |
→Decistearn: add very good 23-limit extension (note: i calculated the 23-limit badness as 19-limit badness * 23-limit dirichlet badness / 19-limit dirichlet badness; afaik that should be correct) |
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| Line 312: | Line 312: | ||
Badness: 0.018232 | Badness: 0.018232 | ||
=== 23-limit === | |||
By equating 16/13 with 69/56 and 85/69 (enabling 56:69:85 chords), we find [[23/16]] at 2 generators underneath 6 periods (which is the [[5edo]] fifth, [[10edo|6\10]]). | |||
Subgroup: 2.3.5.7.11.13.17.19.23 | |||
Comma list: 221/220, 289/288, 351/350, 361/360, 456/455, 476/475, 897/896 | |||
Mapping: {{mapping| 10 2 14 5 30 37 27 24 36 | 0 3 2 5 1 0 3 4 2 }} | |||
Optimal tuning (CTE): ~161/150 = 1\10, ~11/8 = 553.918 (~36/35 = 46.082) | |||
{{Optimal ET sequence|legend=1| 30dh, 50, 80, 130 }} | |||
Badness: 0.016719 | |||
[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||