Ptolemismic clan: Difference between revisions
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+links to temperaments discussed elsewhere |
-name for no-7 ptolemismic as the name has been taken |
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| Line 27: | Line 27: | ||
[[Badness]]: 0.0225 × 10<sup>-6</sup> | [[Badness]]: 0.0225 × 10<sup>-6</sup> | ||
== | == No-7 ptolemismic == | ||
Subgroup: 2.3.5.11 | Subgroup: 2.3.5.11 | ||
Revision as of 14:03, 4 September 2021
This page discusses some rank-3 temperaments tempering out the ptolemisma, 100/99. But we can start with the rank-4 temperament.
Temperaments discussed elsewhere include:
- Calliope, {45/44, 81/80} → Didymus rank three family #Calliope
- Jubilee, {50/49, 99/98} → Jubilismic family #Jubilee
- Sonic, {55/54, 100/99} → Porcupine rank three family #Sonic
- Thrasher, {56/55, 100/99} → Starling family #Thrasher
- Ares, {64/63, 100/99} → Archytas family #Ares
- Apollo, {100/99, 225/224} → Marvel family #Apollo
- Nakika, {100/99, 245/242} → Octagar family #Nakika
- Octarod, {100/99, 245/243} → Sensamagic family #Octarod
- Supermagic, {100/99, 385/384} → Keemic family #Supermagic
Ptolemismic
Subgroup: 2.3.5.7.11
Mapping: [⟨1 0 0 0 2], ⟨0 1 0 0 -2], ⟨0 0 1 0 2], ⟨0 0 0 1 0]]
POTE generators: ~3/2 = 704.9532, ~5/4 = 384.0675, ~7/4 = 970.8803
Badness: 0.0225 × 10-6
No-7 ptolemismic
Subgroup: 2.3.5.11
Comma list: 100/99
Sval mapping: [⟨1 0 0 2], ⟨0 1 0 -2], ⟨0 0 1 2]]
POTE generators: ~3/2 = 704.9532, ~5/4 = 384.0675
Badness: 0.0226 × 10-3