Sensipent family: Difference between revisions
m →Sensipent (2.3.5.31 subgroup): move |
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This extension can be applied to many other extensions. Note that optimal ET sequences here often omit some [[val]] of [[84edo]], which is a good tuning for interpreting the generator as 31/24~40/31 such that 24:31:40 is a chord of [0, 1, 2] generator steps, by preferring a flatter fifth as in the 2.3.5.31-subgroup extension, as the 5-limit generator is both complex and relatively high in damage for its complexity. | This extension can be applied to many other extensions. Note that optimal ET sequences here often omit some [[val]] of [[84edo]], which is a good tuning for interpreting the generator as 31/24~40/31 such that 24:31:40 is a chord of [0, 1, 2] generator steps, by preferring a flatter fifth as in the 2.3.5.31-subgroup extension, as the 5-limit generator is both complex and relatively high in damage for its complexity. | ||
[[#Sensible|Sensible]] is a less sparse subgroup extension present in smaller edo tunings like [[111edo]] at the cost of a little accuracy, | [[#Sensible|Sensible]] is a less sparse subgroup extension present in smaller edo tunings like [[111edo]] at the cost of a little accuracy. | ||
Subgroup: 2.3.5.31 | |||
Comma list: 961/960, 2511/2500 | |||
Subgroup-val mapping: {{mapping| 1 -1 -1 2 | 0 7 9 8 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1200.0154{{c}}, ~31/24 = 443.0514{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~31/24 = 443.0474{{c}} | |||
{{Optimal ET sequence|legend=0| 8, 11c, 19, 46, 65, 344, 409, 474, 539, 604c }} | |||
Badness (Sintel): 0.243 | |||
=== Sensible === | === Sensible === | ||