80th-octave temperaments: Difference between revisions
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octodeca |
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{{Optimal ET sequence|legend=1|320, 2000, 4320}} | {{Optimal ET sequence|legend=1|320, 2000, 4320}} | ||
== Octodeca == | |||
Octodeca can be described as the 80 & 1920 temperament. | |||
Subgroup: 2.3.5.7 | |||
Comma list: {{monzo|21 60 -50}}, 184528125/184473632 | |||
{{mapping|legend=1|80 2 36 -25|0 5 6 10}} | |||
: mapping generators: ~1071875/1062882 = 1\80, ~7476806640625/6025163444928 = 374.386 | |||
Optimal tuning (CTE): ~7476806640625/6025163444928 = 374.386 | |||
[[Support]]ing [[ET]]s: {{EDOs|80, 1920, 2000}} | |||
=== 19-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 5832/5831, 9801/9800, 89376/89375, 123201/123200, 392445/392392, 653184/653125 | |||
{{mapping|legend=1|80 2 36 -25 -127 -321 -327 -240|0 5 6 10 6 -1 0 4}} | |||
: mapping generators: ~12000/12103 = 1\80, ~1625/1309 = 374.386 | |||
Optimal tuning (CTE): ~1625/1309 = 374.386 | |||
=== 23-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19.23 | |||
Comma list: 5832/5831, 8625/8624, 9801/9800, 10626/10625, 89376/89375, 95013/95000, 123201/123200 | |||
{{mapping|legend=1|80 2 36 -25 -127 -321 -327 -240 -287|0 5 6 10 6 -1 0 4 3}} | |||
: mapping generators: ~12000/12103 = 1\80, ~920/741 = 374.387 | |||
Optimal tuning (CTE): ~920/741 = 374.387 | |||
[[Category:80edo]] | [[Category:80edo]] | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||