Ptolemismic clan: Difference between revisions
Jump to navigation
Jump to search
-name for no-7 ptolemismic as the name has been taken |
m Improve links |
||
| Line 2: | Line 2: | ||
Temperaments discussed elsewhere include: | Temperaments discussed elsewhere include: | ||
* ''[[Calliope]]'', {45/44, 81/80} → [[Didymus rank three family #Calliope]] | * ''[[Calliope]]'', {45/44, 81/80} → [[Didymus rank three family #Calliope|Didymus rank-3 family]] | ||
* ''[[Jubilee]]'', {50/49, 99/98} → [[Jubilismic family #Jubilee]] | * ''[[Jubilee]]'', {50/49, 99/98} → [[Jubilismic family #Jubilee|Jubilismic family]] | ||
* ''[[Sonic]]'', {55/54, 100/99} → [[Porcupine rank three family #Sonic]] | * ''[[Sonic]]'', {55/54, 100/99} → [[Porcupine rank three family #Sonic|Porcupine rank-3 family]] | ||
* ''[[Thrasher]]'', {56/55, 100/99} → [[Starling family #Thrasher]] | * ''[[Thrasher]]'', {56/55, 100/99} → [[Starling family #Thrasher|Starling family]] | ||
* [[Ares]], {64/63, 100/99} → [[Archytas family #Ares]] | * [[Ares]], {64/63, 100/99} → [[Archytas family #Ares|Archytas family]] | ||
* ''[[Apollo]]'', {100/99, 225/224} → [[Marvel family #Apollo]] | * ''[[Apollo]]'', {100/99, 225/224} → [[Marvel family #Apollo|Marvel family]] | ||
* ''[[Nakika]]'', {100/99, 245/242} → [[Octagar family #Nakika]] | * ''[[Nakika]]'', {100/99, 245/242} → [[Octagar family #Nakika|Octagar family]] | ||
* ''[[Octarod]]'', {100/99, 245/243} → [[Sensamagic family #Octarod]] | * ''[[Octarod]]'', {100/99, 245/243} → [[Sensamagic family #Octarod|Sensamagic family]] | ||
* ''[[Supermagic]]'', {100/99, 385/384} → [[Keemic family #Supermagic]] | * ''[[Supermagic]]'', {100/99, 385/384} → [[Keemic family #Supermagic|Keemic family]] | ||
* ''[[Androboh]]'', {100/99, 1375/1372} → [[Gariboh family #Androboh|Gariboh family]] | |||
== Ptolemismic == | == Ptolemismic == | ||
Revision as of 12:10, 6 November 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-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