Ptolemismic clan: Difference between revisions
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The '''ptolemismic clan''' of [[Rank-3 temperament|rank-3]] [[temperament]]s [[ | {{Technical data page}} | ||
The '''ptolemismic clan''' of [[Rank-3 temperament|rank-3]] [[regular temperament|temperament]]s [[tempering out|tempers out]] the ptolemisma, [[100/99]]. | |||
Strong extensions are apollo, supermagic, thrasher, and ares, considered below. Discussed elsewhere are: | |||
* ''[[Calliope]]'' (+45/44 or 81/80) → [[Didymus rank three family #Calliope|Didymus rank-3 family]] | * ''[[Calliope]]'' (+45/44 or 81/80) → [[Didymus rank three family #Calliope|Didymus rank-3 family]] | ||
* ''[[Jubilee]]'' (+50/49 or 99/98) → [[Jubilismic family #Jubilee|Jubilismic family]] | * ''[[Jubilee]]'' (+50/49 or 99/98) → [[Jubilismic family #Jubilee|Jubilismic family]] | ||
* ''[[Sonic]]'' (+55/54) → [[Porcupine rank three family #Sonic|Porcupine rank-3 family]] | * ''[[Sonic]]'' (+55/54) → [[Porcupine rank three family #Sonic|Porcupine rank-3 family]] | ||
* ''[[Nakika]]'' (+245/242) → [[Octagar family #Nakika|Octagar family]] | * ''[[Nakika]]'' (+245/242) → [[Octagar family #Nakika|Octagar family]] | ||
* ''[[Octarod]]'' (+245/243) → [[Sensamagic family #Octarod|Sensamagic family]] | * ''[[Octarod]]'' (+245/243) → [[Sensamagic family #Octarod|Sensamagic family]] | ||
* ''[[Androboh]]'' (+1375/1372) → [[Gariboh family #Androboh|Gariboh family]] | * ''[[Androboh]]'' (+1375/1372) → [[Gariboh family #Androboh|Gariboh family]] | ||
For the rank-4 temperament, see [[Rank-4 temperament #Ptolemismic (100/99)]]. | For the rank-4 temperament, see [[Rank-4 temperament #Ptolemismic (100/99)]]. | ||
== | == Ptolemic == | ||
[[Subgroup]]: 2.3.5.11 | [[Subgroup]]: 2.3.5.11 | ||
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[[Badness]]: 0.0226 × 10<sup>-3</sup> | [[Badness]]: 0.0226 × 10<sup>-3</sup> | ||
== Apollo == | |||
See [[Marvel family #Apollo]]. | |||
== Supermagic == | |||
See [[Keemic family #Supermagic]]. | |||
== Thrasher == | |||
See [[Starling family #Thrasher]]. | |||
== Ares == | |||
{{Main| Archytas and ares }} | |||
See [[Archytas family #Ares]]. | |||
[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Ptolemismic clan| ]] <!-- main article --> | [[Category:Ptolemismic clan| ]] <!-- main article --> | ||
[[Category:Ptolemismic| ]] <!-- key article --> | [[Category:Ptolemismic| ]] <!-- key article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
Latest revision as of 00:28, 24 June 2025
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
The ptolemismic clan of rank-3 temperaments tempers out the ptolemisma, 100/99.
Strong extensions are apollo, supermagic, thrasher, and ares, considered below. Discussed elsewhere are:
- Calliope (+45/44 or 81/80) → Didymus rank-3 family
- Jubilee (+50/49 or 99/98) → Jubilismic family
- Sonic (+55/54) → Porcupine rank-3 family
- Nakika (+245/242) → Octagar family
- Octarod (+245/243) → Sensamagic family
- Androboh (+1375/1372) → Gariboh family
For the rank-4 temperament, see Rank-4 temperament #Ptolemismic (100/99).
Ptolemic
Subgroup: 2.3.5.11
Comma list: 100/99
Sval mapping: [⟨1 0 0 2], ⟨0 1 0 -2], ⟨0 0 1 2]]
Optimal tuning (POTE): ~2 = 1\1, ~3/2 = 704.9532, ~5/4 = 384.0675
Optimal ET sequence: 7, 12, 15, 19, 22, 34, 41, 56, 75e, 97, 131e
Badness: 0.0226 × 10-3
Apollo
Supermagic
See Keemic family #Supermagic.
Thrasher
See Starling family #Thrasher.