User:FloraC/Temperament name proposal

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Revision as of 09:39, 21 July 2021 by FloraC (talk | contribs) (Update)
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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)

22 & 46 & 72

An 11-limit rank-3 temperament. Announced in FB group. To be called "quasiquarter" I don't like this name.

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

Template:Val list

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

Template:Val list

Badness: 0.5292 × 10-3

87 & 94 & 111

An unnamed 13-limit rank-3 temperament.

Subgroup: 2.3.5.7.11

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]]

Template:Val list

Badness: 0.0540 × 10-3

41 & 46 & 53 & 58

An unnamed 13-limit rank-4 temperament.

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

Template:Val list

Badness: 2.550 × 10-6

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