159th-octave temperaments: Difference between revisions
→Aemic (rank-3): facepalm |
→Aemilic: full |
||
| Line 33: | Line 33: | ||
== Aemilic == | == Aemilic == | ||
''Aemilic'' is described as the 159 & 954 temperament in the 17-limit and is named after the minor planet [[wikipedia:159 Aemilia|159 Aemilia]]. | ''Aemilic'' is described as the 159 & 954 temperament in the 17-limit and is named after the minor planet [[wikipedia:159 Aemilia|159 Aemilia]]. | ||
In the 7-limit, aemilic tempers out the [[landscape comma]] alongisde the [[Mercator comma]], and also {{monzo|-76 41 12 -6}}. | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 250047/250000, {{monzo|-84 53}} | |||
{{Mapping|legend=1|159 252 0 -292|0 0 1 2}} | |||
: mapping generators: ~225/224 = 1\159, ~5 | |||
[[Optimal tuning]] ([[CTE]]): ~5/4 = 386.303 | |||
[[Support]]ing [[ET]]s: {{EDOs|159, 795, 954, 1749, 2544, 2703}} | |||
=== 11-limit === | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 3025/3024, 160083/160000, {{monzo|34 19 8 4 -1}} | |||
{{Mapping|legend=1|159 252 0 -292 550|0 0 1 2 0}} | |||
: mapping generators: ~225/224 = 1\159, ~5 | |||
[[Optimal tuning]] ([[CTE]]): ~5/4 = 386.303 | |||
[[Support]]ing [[ET]]s: {{EDOs|159, 795, 954}} | |||
=== 13-limit === | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 3025/3024, 123201/123200, 160083/160000, 4100625/4100096 | |||
{{Mapping|legend=1|159 252 0 -292 550 -150|0 0 1 2 0 2}} | |||
: mapping generators: ~225/224 = 1\159, ~5 | |||
[[Optimal tuning]] ([[CTE]]): ~5/4 = 386.303 | |||
[[Support]]ing [[ET]]s: {{EDOs|159, 795, 954}} | |||
=== 17-limit === | |||
[[Subgroup]]: 2.3.5.7.11.13.17 | [[Subgroup]]: 2.3.5.7.11.13.17 | ||