User:FloraC/Temperament name proposal: Difference between revisions

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Ideas welcome!  
Ideas welcome!  


= 183 & 311 =
* Canou (94 & 99 & 118) and various extensions
Proposed name: ''luminal''.
* Semicanousmic (14641/14580)
 
* Lux (41 & 46 & 270) named in cooperation with Godtone
This microtemperament tempers out the [[meter comma|meter]] and the [[lux comma|lux]] in the 7-limit.
* Luminal (183 & 311)
 
== 7-limit ==
Subgroup: 2.3.5.7
 
Comma list: 703125/702464, 26843545600/26795786661
 
Mapping: [<1 0 5 8|, <0 29 -49 -95|]
 
Wedgie: << 29 -49 -95 -145 -232 -82 ||
 
POTE generator: ~8505/8192 = 65.5883
 
Vals: 55d, 128, 183, 311, 494, 1299, 1793
 
Badness: 0.1348
 
== 11-limit ==
Subgroup: 2.3.5.7.11
 
Comma list: 3025/3024, 131072/130977, 703125/702464
 
Mapping: [<1 0 5 8 1|, <0 29 -49 -95 45|]
 
POTE generator: ~80/77 = 65.5881
 
Vals: 55d, 128, 183, 311, 494, 1299, 1793, 2287d
 
Badness: 0.03282
 
== 13-limit ==
Subgroup: 2.3.5.7.11.13
 
Comma list: 2080/2079, 3025/3024, 4096/4095, 31250/31213
 
Mapping: [<1 0 5 8 1 -1|, <0 29 -49 -95 45 86|]
 
POTE generator: ~27/26 = 65.5883
 
Vals: 128, 183, 311, 494, 1299, 1793
 
Badness: 0.01685
 
== 17-limit ==
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 1156/1155, 1275/1274, 2080/2079, 2431/2430, 4096/4095
 
Mapping: [<1 0 5 8 1 -1 6|, <0 29 -49 -95 45 86 -35|]
 
POTE generator: ~27/26 = 65.5878
 
Vals: 128, 183, 311, 494
 
Badness: 0.01467


=  22 & 46 & 72 =
=  22 & 46 & 72 =

Revision as of 06:33, 11 May 2021

Ideas welcome!

  • Canou (94 & 99 & 118) and various extensions
  • Semicanousmic (14641/14580)
  • Lux (41 & 46 & 270) named in cooperation with Godtone
  • Luminal (183 & 311)

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

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

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

Vals: Template:Val list

Badness: 0.5292 × 10-3

87 & 94 & 111

An unnamed 13-limit rank-3 temperament.

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.

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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