Keemic temperaments: Difference between revisions
Move pentadecal here |
Move undeka here |
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* [[Superkleismic]] (+1029/1024) → [[Gamelismic clan #Superkleismic|Gamelismic clan]] | * [[Superkleismic]] (+1029/1024) → [[Gamelismic clan #Superkleismic|Gamelismic clan]] | ||
* ''[[Sycamore]]'' (+686/675) → [[Sycamore family #Septimal sycamore|Sycamore family]] | * ''[[Sycamore]]'' (+686/675) → [[Sycamore family #Septimal sycamore|Sycamore family]] | ||
Discussed below are quasitemp, chromo, barbad, pentadecal, hyperkleismic, and sevond, in the order of increasing [[TE logflat badness]]. | Discussed below are quasitemp, chromo, barbad, pentadecal, undeka, hyperkleismic, and sevond, in the order of increasing [[TE logflat badness]]. | ||
== Quasitemp == | == Quasitemp == | ||
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Badness (Sintel): 2.29 | Badness (Sintel): 2.29 | ||
== Undeka == | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 875/864, 3200/3087 | |||
{{Mapping|legend=1| 11 0 8 31 | 0 1 1 0 }} | |||
: mapping generators: ~21/20, ~3 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~21/20 = 108.9318{{c}}, ~3/2 = 707.7579{{c}} | |||
: [[error map]]: {{val| -1.750 +4.053 -8.852 +8.059 }} | |||
* [[CWE]]: ~21/20 = 109.0909{{c}}, ~3/2 = 707.7526{{c}} | |||
: error map: {{val| 0.000 +5.798 -5.834 +12.992 }} | |||
{{Optimal ET sequence|legend=1| 11b, 22 }} | |||
[[Badness]] (Sintel): 3.59 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 100/99, 352/343, 385/384 | |||
Mapping: {{mapping| 11 0 8 31 38 | 0 1 1 0 0 }} | |||
Optimal tunings: | |||
* WE: ~21/20 = 109.0321{{c}}, ~3/2 = 706.3870{{c}} | |||
* CWE: ~21/20 = 109.0909{{c}}, ~3/2 = 706.4785{{c}} | |||
{{Optimal ET sequence|legend=0| 11c, 22 }} | |||
Badness (Sintel): 2.27 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 65/63, 100/99, 169/165, 352/343 | |||
Mapping: {{mapping| 11 0 8 31 38 23 | 0 1 1 0 0 1 }} | |||
Optimal tunings: | |||
* WE: ~13/12 = 109.1184{{c}}, ~3/2 = 707.9422{{c}} | |||
* CWE: ~13/12 = 109.0909{{c}}, ~3/2 = 707.9065{{c}} | |||
{{Optimal ET sequence|legend=0| 11cf, 22 }} | |||
Badness (Sintel): 2.34 | |||
== Hyperkleismic == | == Hyperkleismic == | ||