No-threes subgroup temperaments: Difference between revisions

← Older edit Newer edit →

VisualWikitext

@@ Line 272: / Line 272: @@
 Optimal tuning (POTE): ~19/14 = 529.003¢
-== Pure onzonic ==
-The 2.5.11.13 subgroup primarily contains temperaments developed for 1789edo, since it tempers out the jacobin comma 6656/6655, for which 2.5.11.13 is the subgroup, and the year 1789 is hallmark for the French revolution.
-Subgroup: 2.5.11.13
-Comma list: 6656/6655, {{monzo| -119 -46 15 47 }}
-Mapping: [{{val| 1 74 3 74 }}, {{val| 0 -156 1 -153 }}]
-Optimal tuning (POTE): ~11/8 = 551.370
-{{Optimal ET sequence|legend=1|37, 1789}}
 == Tricesimoprimal miracloid ==
@@ Line 347: / Line 334: @@
 {{Optimal ET sequence|legend=1|382, 1025, 1407, 1789, 3196}}, ...
+== Pure onzonic ==
+The 2.5.11.13 subgroup primarily contains temperaments developed for 1789edo, since it tempers out the jacobin comma 6656/6655, for which 2.5.11.13 is the subgroup, and the year 1789 is hallmark for the French revolution.
+Subgroup: 2.5.11.13
+Comma list: 6656/6655, {{monzo| -119 -46 15 47 }}
+Mapping: [{{val| 1 74 3 74 }}, {{val| 0 -156 1 -153 }}]
+Optimal tuning (POTE): ~11/8 = 551.370
+{{Optimal ET sequence|legend=1|37, 1789}}
 == Movila ==
@@ Line 361: / Line 361: @@
 {{Optimal ET sequence|legend=1| 7, 9, 16, 25, 41e, 66ee }}
-== Vengeance ==
+== Insect ==
-''Main article: [[vengeance]]''<br><br>
+[[Subgroup]]: 2.5.11
-Another lower-error replica of mavila, with the fifth being ~[[25/17]] instead of ~[[3/2]].
+[[Comma list]]: 33275/32768
-[[Subgroup]]: 2.5.17
+{{Mapping|legend=2|1 0 5|0 3 -2}}
-[[Comma list]]: 78608/78125
+: Mapping generators, ~2, ~[[55/32]]
-{{Mapping|legend=2|1 1 1|0 3 7}}
+[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~[[55/32]] = 928.032
-[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~[[34/25]] = 529.095
+{{Optimal ET sequence|legend=1|9, 13, 22, 97e, 119e, 141e, 163e, 304ceee}}
-{{Optimal ET sequence|legend=1|7g, 9, 25, 34, 93, 127, 288, 415}}
 == Superquintal ==
@@ Line 388: / Line 386: @@
 {{Optimal ET sequence|legend=1|8, 13, 21, 34, 81, 115}}
-== Insect ==
-[[Subgroup]]: 2.5.11
-[[Comma list]]: 33275/32768
-{{Mapping|legend=2|1 0 5|0 3 -2}}
-: Mapping generators, ~2, ~[[55/32]]
-[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~[[55/32]] = 928.032
-{{Optimal ET sequence|legend=1|9, 13, 22, 97e, 119e, 141e, 163e, 304ceee}}
 == Trader ==
@@ Line 414: / Line 399: @@
 {{Optimal ET sequence|legend=1|3, 20c, 23c, 26c}}
+== Vengeance ==
+''Main article: [[vengeance]]''<br><br>
+Another lower-error replica of mavila, with the fifth being ~[[25/17]] instead of ~[[3/2]].
+[[Subgroup]]: 2.5.17
+[[Comma list]]: 78608/78125
+{{Mapping|legend=2|1 1 1|0 3 7}}
+[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~[[34/25]] = 529.095
+{{Optimal ET sequence|legend=1|7g, 9, 25, 34, 93, 127, 288, 415}}
 == No-threes-or-fives subgroup temperaments ==