Ptolemismic clan: Difference between revisions
Jump to navigation
Jump to search
m FloraC moved page Ptolemismic temperaments to Ptolemismic clan: By definition |
Intro |
||
| Line 1: | Line 1: | ||
The '''ptolemismic clan''' of rank-3 temperaments tempers out the ptolemisma, [[100/99]]. But we can start with the rank-4 temperament. | |||
Temperaments discussed elsewhere include: | Temperaments discussed elsewhere include: | ||
Revision as of 09:55, 1 March 2022
The ptolemismic clan of rank-3 temperaments tempers 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-3 family
- Jubilee, {50/49, 99/98} → Jubilismic family
- Sonic, {55/54, 100/99} → Porcupine rank-3 family
- Thrasher, {56/55, 100/99} → Starling family
- Ares, {64/63, 100/99} → Archytas family
- Apollo, {100/99, 225/224} → Marvel family
- Nakika, {100/99, 245/242} → Octagar family
- Octarod, {100/99, 245/243} → Sensamagic family
- Supermagic, {100/99, 385/384} → Keemic family
- Androboh, {100/99, 1375/1372} → Gariboh family
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