Biyatismic clan: Difference between revisions
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Created page with "This is a collection of rank-3 temperaments tempering out the biyatisma, 121/120 = {{monzo| -3 -1 -1 0 2 }}. Temperaments discussed elsewhere are: * ''Sonic'', {55/5..." |
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* ''[[Bisector]]'', {121/120, 245/243} → [[Sensamagic family #Bisector|Sensamagic family]] | * ''[[Bisector]]'', {121/120, 245/243} → [[Sensamagic family #Bisector|Sensamagic family]] | ||
* ''[[Aphrodite]]'', {121/120, 441/440} → [[Werckismic temperaments #Aphrodite|Werckismic temperaments]] | * ''[[Aphrodite]]'', {121/120, 441/440} → [[Werckismic temperaments #Aphrodite|Werckismic temperaments]] | ||
Considered below is protomere, the no-7 subgroup temperament, but we can begin by looking at the rank-4 temperament. | |||
== Biyatismic == | |||
Subgroup: 2.3.5.7.11 | |||
[[Comma list]]: [[121/120]] | |||
[[Mapping]]: [{{val| 1 0 1 0 2 }}, {{val| 0 1 1 0 1 }}, {{val| 0 0 -2 0 -1 }}, {{val| 0 0 0 1 0 }}] | |||
Mapping generators: ~2, ~3, ~11/10, ~7 | |||
[[POTE generator]]s: ~3/2 = 701.4578, ~11/10 = 157.7466, ~966.9589 | |||
{{Val list|legend=1| 14c, 15, 22, 31, 46, 53, 60e, 68, 77, 91e, 99, 130e, 159ee, 190ee }} | |||
[[Badness]]: 0.0345 × 10<sup>-6</sup> | |||
== Protomere == | |||
Subgroup: 2.3.5.11 | |||
[[Comma list]]: 121/120 | |||
[[Sval]] [[mapping]]: [{{val| 1 0 1 2 }}, {{val| 0 1 1 1 }}, {{val| 0 0 -2 -1 }}] | |||
Sval mapping generators: ~2, ~3, ~11/10 | |||
[[POTE generator]]s: ~3/2 = 701.4578, ~11/10 = 157.7466 | |||
{{Val list|legend=1| 7, 15, 22, 31, 46, 53, 137e, 183ee, 190ee }} | |||
[[Badness]]: 0.0297 × 10<sup>-3</sup> | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
Revision as of 13:49, 8 December 2021
This is a collection of rank-3 temperaments tempering out the biyatisma, 121/120 = [-3 -1 -1 0 2⟩.
Temperaments discussed elsewhere are:
- Sonic, {55/54, 100/99} → Porcupine rank-3 family
- Urania, {81/80, 121/120} → Didymus rank-3 family
- Big Brother, {99/98, 121/120} → Nuwell family
- Oxpecker, {121/120, 126/125} → Starling family
- Zeus, {121/120, 176/175} → Porwell family
- Artemis, {121/120, 225/224} → Marvel family
- Bisector, {121/120, 245/243} → Sensamagic family
- Aphrodite, {121/120, 441/440} → Werckismic temperaments
Considered below is protomere, the no-7 subgroup temperament, but we can begin by looking at the rank-4 temperament.
Biyatismic
Subgroup: 2.3.5.7.11
Mapping: [⟨1 0 1 0 2], ⟨0 1 1 0 1], ⟨0 0 -2 0 -1], ⟨0 0 0 1 0]]
Mapping generators: ~2, ~3, ~11/10, ~7
POTE generators: ~3/2 = 701.4578, ~11/10 = 157.7466, ~966.9589
Badness: 0.0345 × 10-6
Protomere
Subgroup: 2.3.5.11
Comma list: 121/120
Sval mapping: [⟨1 0 1 2], ⟨0 1 1 1], ⟨0 0 -2 -1]]
Sval mapping generators: ~2, ~3, ~11/10
POTE generators: ~3/2 = 701.4578, ~11/10 = 157.7466
Badness: 0.0297 × 10-3