Subgroup temperaments: Difference between revisions
→Marveltwintri: fix the optimal tunings; note cata |
→Fractional subgroup temperaments: move "surprise" here |
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{{Optimal ET sequence|legend=1| 5, 12, 17, 46, 63, 143 }} | {{Optimal ET sequence|legend=1| 5, 12, 17, 46, 63, 143 }} | ||
== 2.….19/7.… subgroups == | |||
=== Surprise === | |||
This temperament was named by [[User:VectorGraphics|Vector]] in 2025, as he was surprised that the temperament of [[57/56]] did not have a name. This is the [[rank-2 temperament|rank-2]] version of the temperament; Vector surmises that the name ''hendrix'' would be more thoughtfully given to the [[rank-3]] version. | |||
[[Subgroup]]: 2.3.19/7 | |||
[[Comma list]]: [[57/56]] ({{monzo| -3 1 1 }}) | |||
{{Mapping|legend=2| 1 0 3 | 0 1 -1 }} | |||
: mapping generators: ~2, ~3 | |||
[[Optimal tuning]]s: | |||
* [[Tp tuning|Subgroup]] [[WE]]: ~2 = 1202.4345{{c}}, ~3/2 = 697.4314{{c}} | |||
* [[Tp tuning|Subgroup]] [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 697.3981{{c}} | |||
{{Optimal ET sequence|legend=1| 5, 7, 12, 19, 31*, 50* }} | |||
<nowiki/>* wart for 19/7 | |||
[[Badness]] (Sintel): 0.082 | |||
== 3/2.5/2.… subgroups == | == 3/2.5/2.… subgroups == | ||