Kalismic temperaments: Difference between revisions
m Improve links |
mNo edit summary |
||
| Line 1: | Line 1: | ||
__FORCETOC__ | __FORCETOC__ | ||
These are rank-3 temperaments tempering out [[9801/9800]] | These are rank-3 temperaments tempering out [[9801/9800]]. Temperaments discussed elsewhere are: | ||
Temperaments discussed elsewhere are: | |||
* ''[[Jubilee]]'', {50/49, 99/98} → [[Jubilismic family #Jubilee|Jubilismic family]] | * ''[[Jubilee]]'', {50/49, 99/98} → [[Jubilismic family #Jubilee|Jubilismic family]] | ||
* ''[[Fantastic]]'', {225/224, 4375/4356} → [[Marvel family #Fantastic|Marvel family]] | * ''[[Fantastic]]'', {225/224, 4375/4356} → [[Marvel family #Fantastic|Marvel family]] | ||
| Line 16: | Line 14: | ||
* ''[[Semiporwell]]'', {6144/6125, 9801/9800} → [[Porwell family #Semiporwell|Porwell family]] | * ''[[Semiporwell]]'', {6144/6125, 9801/9800} → [[Porwell family #Semiporwell|Porwell family]] | ||
* ''[[Semicanou]]'', {9801/9800, 14641/14580} → [[Canou family #Semicanou|Canou family]] | * ''[[Semicanou]]'', {9801/9800, 14641/14580} → [[Canou family #Semicanou|Canou family]] | ||
Considered below are odin, loki, and van gogh, but we can begin by looking at the rank-4 temperament. | |||
== Kalismic == | == Kalismic == | ||
| Line 61: | Line 61: | ||
[[Comma list]]: 9801/9800, 199297406/199290375 | [[Comma list]]: 9801/9800, 199297406/199290375 | ||
[[Mapping]]: [{{val| 2 | [[Mapping]]: [{{val| 2 0 8 0 11 }}, {{val| 0 1 1 2 1 }}, {{val| 0 0 -9 -1 -10 }}] | ||
Mapping generators: ~99/70, ~3, ~9/7 | Mapping generators: ~99/70, ~3, ~9/7 | ||
Revision as of 22:42, 23 October 2021
These are rank-3 temperaments tempering out 9801/9800. Temperaments discussed elsewhere are:
- Jubilee, {50/49, 99/98} → Jubilismic family
- Fantastic, {225/224, 4375/4356} → Marvel family
- Bisector, {121/120, 245/243} → Sensamagic family
- Julius or varda, {176/175, 896/891} → Diaschismic rank three family
- Hagrid, {243/242, 9801/9800} → Cataharry family
- Uniwiz, {385/384, 9801/9800} → Keenanismic temperaments
- Varuna, {441/440, 8019/8000} → Werckismic temperaments
- Hades, {540/539, 4000/3993} → Swetismic temperaments
- Dimcomp, {1375/1372, 6250/6237} → Dimcomp family
- Baldur, {2401/2400, 9801/9800} → Breed family
- Thor, {3025/3024, 4375/4374} → Ragismic family
- Semiporwell, {6144/6125, 9801/9800} → Porwell family
- Semicanou, {9801/9800, 14641/14580} → Canou family
Considered below are odin, loki, and van gogh, but we can begin by looking at the rank-4 temperament.
Kalismic
Subgroup: 2.3.5.7.11
Comma list: 9801/9800
Mapping: [⟨2 0 0 0 3], ⟨0 1 0 0 -2], ⟨0 0 1 0 1], ⟨0 0 0 1 1]]
Mapping generators: ~99/70, ~3, ~5, ~7
Odin
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 151263/151250
Mapping: [⟨6 0 0 8 17], ⟨0 1 0 -2 -4], ⟨0 0 1 2 3]]
Mapping generators: ~55/49, ~3, ~5
Badness: 0.116 × 10-3
Loki
Subgroup: 2.3.5.7.11
Comma list: 5632/5625, 9801/9800
Mapping: [⟨2 0 0 -21 -18], ⟨0 1 0 4 2], ⟨0 0 1 3 4]]
Mapping generators: ~99/70, ~3, ~5
Badness: 0.493 × 10-3
Van Gogh
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 199297406/199290375
Mapping: [⟨2 0 8 0 11], ⟨0 1 1 2 1], ⟨0 0 -9 -1 -10]]
Mapping generators: ~99/70, ~3, ~9/7
Badness: 0.297 × 10-3