User:FloraC/Temperament name proposal: Difference between revisions
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* Hemiluna (87 & 323) | * Hemiluna (87 & 323) | ||
* Gary (41 & 135, 2.3.7.11) | * Gary (41 & 135, 2.3.7.11) | ||
* Countertertiaschis (159 & 224) | |||
== 22 & 46 & 72 == | == 22 & 46 & 72 == | ||
An 11-limit rank-3 temperament. Announced in FB group. To be called "headquarters". | An 11-limit rank-3 temperament. Announced in FB group. To be called "headquarters", to be added to keenanismic temperaments (which doesn't exist now). | ||
It tempers out 1500625/1492992 = {{monzo| -11 -6 4 4 }} in the 7-limit, and the keenanisma, [[385/384]], the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo| -17 2 0 0 4 }}, in the 11-limit. It features splitting the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most valuable for those who would like to make extensive use of quartertones. It can be viewed as one which is joined by the three quartertone-sized edos: [[22edo]], [[24edo]], and [[26edo]]. It shares the [[optimal patent val]], [[284edo]] with [[Keenanismic family|keenanismic]]. | It tempers out 1500625/1492992 = {{monzo| -11 -6 4 4 }} in the 7-limit, and the keenanisma, [[385/384]], the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo| -17 2 0 0 4 }}, in the 11-limit. It features splitting the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most valuable for those who would like to make extensive use of quartertones. It can be viewed as one which is joined by the three quartertone-sized edos: [[22edo]], [[24edo]], and [[26edo]]. It shares the [[optimal patent val]], [[284edo]] with [[Keenanismic family|keenanismic]]. | ||
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== 87 & 94 & 111 == | == 87 & 94 & 111 == | ||
An unnamed 13-limit rank-3 temperament. | An unnamed 13-limit rank-3 temperament. Gotta find a name from Hawaiian myth like other hemifamity temperaments. | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11.13 | ||
[[Comma list]]: 352/351, 847/845, 14641/14580 | [[Comma list]]: 352/351, 847/845, 14641/14580 | ||
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== 41 & 46 & 53 & 58 == | == 41 & 46 & 53 & 58 == | ||
An unnamed 13-limit rank-4 temperament. | An unnamed 13-limit rank-4 temperament. May not need to be named but simply added to the rank-4 temperament page. | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Revision as of 11:17, 15 August 2021
Ideas welcome!
Temperament names:
- Canou (94 & 99 & 118) and various extensions
- Lux (41 & 46 & 270) named in cooperation with Godtone
- Luminal (183 & 311)
- Superlimmal (80 & 311)
Comma names:
- Canousma (4802000/4782969)
- Semicanousma (14641/14580)
- Wilschisma (532480/531441)
- Aureusma (1445/1444)
- Noema (1225/1224)
- Olympia (131072/130977)
Variations on existing roots:
- Paralytic (99e & 118)
- Semiseptiquarter (94 & 198)
- Semiparamint (80 & 118)
- Semiparawolf (80 & 118f)
- Semiluna (118 & 292)
- Hemiluna (87 & 323)
- Gary (41 & 135, 2.3.7.11)
- Countertertiaschis (159 & 224)
22 & 46 & 72
An 11-limit rank-3 temperament. Announced in FB group. To be called "headquarters", to be added to keenanismic temperaments (which doesn't exist now).
It tempers out 1500625/1492992 = [-11 -6 4 4⟩ in the 7-limit, and the keenanisma, 385/384, the kalisma, 9801/9800, as well as the Alpharabian comma, 131769/131072 = [-17 2 0 0 4⟩, in the 11-limit. It features splitting the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most valuable for those who would like to make extensive use of quartertones. It can be viewed as one which is joined by the three quartertone-sized edos: 22edo, 24edo, and 26edo. It shares the optimal patent val, 284edo with keenanismic.
7-limit
Subgroup: 2.3.5.7
Comma list: 1500625/1492992
Mapping: [⟨2 1 0 7], ⟨0 2 0 3], ⟨0 0 1 -1]]
Mapping generators: ~1225/864, ~35/24, ~5
Wedgie: ⟨⟨⟨ 4 -4 -6 11 ]]]
POTE generators: ~36/35 = 50.9529 or ~48/35 = 549.0471, ~5/4 = 385.3326
Badness: 0.7042 × 10-3
11-limit
Subgroup: 2.3.5.7.11
Comma list: 385/384, 9801/9800
Mapping: [⟨2 1 0 7 8], ⟨0 2 0 3 -1], ⟨0 0 1 -1 0]]
Mapping generators: ~99/70, ~16/11, ~5
POTE generators: ~33/32 = 50.7404 or ~11/8 = 549.2596, ~5/4 = 385.0315
Badness: 0.5292 × 10-3
87 & 94 & 111
An unnamed 13-limit rank-3 temperament. Gotta find a name from Hawaiian myth like other hemifamity temperaments.
Subgroup: 2.3.5.7.11.13
Comma list: 352/351, 847/845, 14641/14580
Mapping: [⟨1 0 2 12 1 6], ⟨0 1 2 -4 2 -1], ⟨0 0 4 4 1 1]]
Badness: 1.650 × 10-3
41 & 46 & 53 & 58
An unnamed 13-limit rank-4 temperament. May not need to be named but simply added to the rank-4 temperament page.
Subgroup: 2.3.5.7.11.13
Comma list: 352/351, 847/845
Mapping: [⟨1 0 0 10 0 5], ⟨0 1 0 -6 0 -3], ⟨0 0 1 1 0 0], ⟨0 0 0 0 1 1]]
Wedgie: ⟨⟨⟨⟨ 0 1 1 1 1 0 6 6 -3 -3 10 10 -5 -5 0 ]]]]
POTE generators: ~3/2 = 702.9075, ~5/4 = 387.0723, ~11/8 = 551.4538
Badness: 2.550 × 10-6