Kleismic family: Difference between revisions
+quartkeenlig proposed by Eliora |
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This temperament uses a generator in the 11-limit that is 33/32~36/35 tempered together, and is called so because it tempers out the [[quartisma]] by virtue of five 33/32's being with 7/6, keenanisma, 385/384, tempering 33/32 and 36/35 together, and liganellus comma (6250/6237). It can also be viewed as a regular temperament interpretation of [[23edo and octave stretching|stretched 23edo]]. | This temperament uses a generator in the 11-limit that is 33/32~36/35 tempered together, and is called so because it tempers out the [[quartisma]] by virtue of five 33/32's being with 7/6, keenanisma, 385/384, tempering 33/32 and 36/35 together, and liganellus comma (6250/6237). It can also be viewed as a regular temperament interpretation of [[23edo and octave stretching|stretched 23edo]]. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: | [[Comma list]]: 15625/15552, 117649/116640 | ||
[[Mapping]]: [{{val| 1 0 1 1 | [[Mapping]]: [{{val| 1 0 1 1 }}, {{val| 0 36 30 41 }}] | ||
Optimal tuning (CTE): ~ | [[Optimal tuning]] ([[CTE]]): ~36/35 = 52.8562 | ||
Optimal GPV sequence: {{val list| | {{Val list|legend=1| 68, 91, 159, 386d, 545dd }} | ||
[[Badness]]: 0.146 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 385/384, 6250/6237, 67228/66825 | |||
Mapping: [{{val| 1 0 1 1 5 }}, {{val| 0 36 30 41 -35 }}] | |||
Optimal tuning (CTE): ~33/32 = 52.8524 | |||
Optimal GPV sequence: {{val list| 68, 91, 159, 386d, 545dd }} | |||
Badness: 0.0865 | |||
== Novemkleismic == | == Novemkleismic == | ||