Septiennealimmal clan: Difference between revisions
Created page with "This clan of temperaments tempers out the tritrizo comma, {{monzo| -11 -9 0 9 }} = 40353607/40310784, and includes these: * Niner * Marvel temper..." |
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The '''tritrizo clan''' of temperaments tempers out the tritrizo comma, {{monzo| -11 -9 0 9 }} = 40353607/40310784, and includes these: | |||
* [[Augmented family # | * ''[[Niner]]'' → [[Augmented family #Niner]] | ||
* [[Marvel temperaments # | * ''[[Enneaportent]]'' → [[Marvel temperaments #Enneaportent]] | ||
* [[Kleismic family # | * ''[[Novemkleismic]]'' → [[Kleismic family #Novemkleismic]] | ||
* [[Ragismic | * [[Ennealimmal]], also in: [[Ragismic microtemperaments #Ennealimmal]] | ||
= No-five tritrizo = | == No-five tritrizo == | ||
Subgroup: 2.3.7 | Subgroup: 2.3.7 | ||
| Line 16: | Line 16: | ||
{{Val list|legend=1| 27, 36, 99, 135, 171, 306, 4419d, 4725d, ... , 8397dd, 8703dd }} | {{Val list|legend=1| 27, 36, 99, 135, 171, 306, 4419d, 4725d, ... , 8397dd, 8703dd }} | ||
= 171&342 temperament = | == 171&342 temperament == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 29: | Line 29: | ||
[[Badness]]: 0.031739 | [[Badness]]: 0.031739 | ||
== 13-limit 171&342 == | === 13-limit 171&342 === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 42: | Line 42: | ||
Badness: 0.054029 | Badness: 0.054029 | ||
== 13-limit 171&513 == | === 13-limit 171&513 === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Revision as of 15:00, 31 May 2021
The tritrizo clan of temperaments tempers out the tritrizo comma, [-11 -9 0 9⟩ = 40353607/40310784, and includes these:
- Niner → Augmented family #Niner
- Enneaportent → Marvel temperaments #Enneaportent
- Novemkleismic → Kleismic family #Novemkleismic
- Ennealimmal, also in: Ragismic microtemperaments #Ennealimmal
No-five tritrizo
Subgroup: 2.3.7
Comma list: 40353607/40310784
Sval mapping: [⟨9 0 11], ⟨0 1 1]]
POTE generator: ~3/2 = 701.965
171&342 temperament
Subgroup: 2.3.5.7.11
Comma list: 2401/2400, 4375/4374, 32805/32768
Mapping: [⟨171 271 397 480 0], ⟨0 0 0 0 1]]
POTE generator: ~11/8 = 550.954
Badness: 0.031739
13-limit 171&342
Subgroup: 2.3.5.7.11.13
Comma list: 625/624, 729/728, 2205/2197, 2401/2400
Mapping: [⟨171 271 397 480 0 633], ⟨0 0 0 0 1 0]]
POTE generator: ~11/8 = 551.322
Vals: Template:Val list
Badness: 0.054029
13-limit 171&513
Subgroup: 2.3.5.7.11.13
Comma list: 2080/2079, 2401/2400, 4375/4374, 32805/32768
Mapping: [⟨171 271 397 480 0 41], ⟨0 0 0 0 1 1]]
POTE generator: ~11/8 = 551.625
Vals: Template:Val list
Badness: 0.046843