Marvel temperaments: Difference between revisions
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= Decic = | = Decic = | ||
The ''decic'' temperament (10&50, named by [[User:Xenllium|Xenllium]]) tempers out the [[cloudy comma]], 16807/16384 and the [[225/224|marvel comma]], 225/224 in the 7-limit. It can be extended naturally to the 11-, 13-, and 17-limit by adding 385/384, 105/104, and 170/169 to the comma list in this order. | The ''decic'' temperament (10&50, named by [[User:Xenllium|Xenllium]]) tempers out the [[cloudy comma]], 16807/16384 and the [[225/224|marvel comma]], 225/224 in the 7-limit, as well as the [[15/14ths equal temperament|linus comma]], {{monzo|11 -10 -10 10}}. It can be extended naturally to the 11-, 13-, and 17-limit by adding 385/384, 105/104, and 170/169 to the comma list in this order. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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== 11-limit == | == 11-limit == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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* strict range: ~3/2 = [696.000, 700.000] | * strict range: ~3/2 = [696.000, 700.000] | ||
{{Val list | Vals: {{Val list| 10, 50, 160bcdd, 210bcddde, 260bbcddde, 310bbcdddde }} | ||
Badness: 0.063900 | Badness: 0.063900 | ||
== 13-limit == | == 13-limit == | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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* strict range: ~3/2 = [696.000, 700.000] | * strict range: ~3/2 = [696.000, 700.000] | ||
{{Val list | Vals: {{Val list| 10, 50, 160bcdd, 210bcddde, 260bbcddde }} | ||
Badness: 0.036880 | Badness: 0.036880 | ||
== 17-limit == | == 17-limit == | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
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* strict range: ~3/2 = [696.000, 700.000] | * strict range: ~3/2 = [696.000, 700.000] | ||
{{Val list | Vals: {{Val list| 10, 50, 160bcddg, 210bcdddegg }} | ||
Badness: 0.025064 | Badness: 0.025064 | ||