Septiennealimmal clan: Difference between revisions
m FloraC moved page Tritrizo clan to Septiennealimmal clan: For obvious reasons |
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The ''' | The '''septiennealimmal clan''' of temperaments tempers out the [[septimal ennealimma]] ({{monzo|legend=1| -11 -9 0 9 }}, [[ratio]]: 40353607/40310784). Primarily, this clan includes the 7-limit [[ennealimmal]] temperament and extensions of it. | ||
Temperaments discussed elsewhere are: | |||
* ''[[Cobalt]]'' → [[Starling temperaments #Cobalt]] | * ''[[Cobalt]]'' → [[Starling temperaments #Cobalt]] | ||
* ''[[Niner]]'' → [[Augmented family #Niner]] | * ''[[Niner]]'' → [[Augmented family #Niner]] | ||
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* ''[[Decades]]'' → [[Compton family #Decades]] | * ''[[Decades]]'' → [[Compton family #Decades]] | ||
* ''[[Nonant]]'' → [[Schismatic family #Nonant]] | * ''[[Nonant]]'' → [[Schismatic family #Nonant]] | ||
== No-five tritrizo == | == No-five tritrizo == | ||
Subgroup: 2.3.7 | [[Subgroup]]: 2.3.7 | ||
[[Comma list]]: 40353607/40310784 | [[Comma list]]: 40353607/40310784 | ||
{{Mapping|legend=2| 9 0 11 | 0 1 1 }} | |||
: sval mapping generators: ~2592/2401, ~3 | |||
[[POTE | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2592/2401 = 133.333, ~3/2 = 701.965 | |||
{{Optimal ET sequence|legend=1| 27, 36, 99, 135, 171, 306, 4419d, 4725d, | {{Optimal ET sequence|legend=1| 27, 36, 99, 135, 171, 306, 4419d, 4725d, …, 8397dd, 8703dd }} | ||
=== Ennea === | === Ennea === | ||
{{ | {{See also| No-fives subgroup temperaments }} | ||
Subgroup: 2.3.7.11 | Subgroup: 2.3.7.11 | ||
Comma list: 41503/41472, 43923/43904 | |||
Mapping: {{mapping| 9 0 11 24 | 0 2 2 1 }} | |||
Optimal tunings: | |||
* POTE: ~99/98 = 17.626 | |||
{{Optimal ET sequence|legend= | {{Optimal ET sequence|legend=0| 54, 63, 72, 135, 342, 477, 1089, 1566 }} | ||
== Ennealimmal == | == Ennealimmal == | ||