User:FloraC/Temperament name proposal: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Update
Update
Line 4: Line 4:
* Canou (94 & 99 & 118) and various extensions
* Canou (94 & 99 & 118) and various extensions
* Lux (41 & 46 & 270) named in cooperation with Godtone
* Lux (41 & 46 & 270) named in cooperation with Godtone
* Headquarters (22 & 46 & 72)
* Luminal (183 & 311)
* Luminal (183 & 311)
* Superlimmal (80 & 311)
* Superlimmal (80 & 311)
Line 24: Line 25:
* Gary (41 & 135, 2.3.7.11)
* Gary (41 & 135, 2.3.7.11)
* Countertertiaschis (159 & 224)
* 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 = {{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]].
=== 7-limit ===
Subgroup: 2.3.5.7
[[Comma list]]: 1500625/1492992
[[Mapping]]: [{{val| 2 1 0 7 }}, {{val| 0 2 0 3 }}, {{val| 0 0 1 -1 }}]
Mapping generators: ~1225/864, ~35/24, ~5
{{Multival|legend=1|rank=3| 4 -4 -6 11 }}
[[POTE generator]]s: ~36/35 = 50.9529 or ~48/35 = 549.0471, ~5/4 = 385.3326
{{Val list|legend=1| 22, 46, 68, 72, 118, 140, 212, 330, 470, 542d, 872cdd, 1012cdd, 1414ccddd }}
[[Badness]]: 0.7042 × 10<sup>-3</sup>
=== 11-limit ===
Subgroup: 2.3.5.7.11
[[Comma list]]: 385/384, 9801/9800
[[Mapping]]: [{{val| 2 1 0 7 8 }}, {{val| 0 2 0 3 -1 }}, {{val| 0 0 1 -1 0 }}]
Mapping generators: ~99/70, ~16/11, ~5
[[POTE generator]]s: ~33/32 = 50.7404 or ~11/8 = 549.2596, ~5/4 = 385.0315
{{Val list|legend=1| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de }}
[[Badness]]: 0.5292 × 10<sup>-3</sup>


== 87 & 94 & 111 ==
== 87 & 94 & 111 ==

Revision as of 14:42, 22 August 2021

Ideas welcome!

Temperament names:

  • Canou (94 & 99 & 118) and various extensions
  • Lux (41 & 46 & 270) named in cooperation with Godtone
  • Headquarters (22 & 46 & 72)
  • 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)

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]]

Template:Val list

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

Template:Val list

Badness: 2.550 × 10-6

Retrieved from "https://en.xen.wiki/index.php?title=User:FloraC/Temperament_name_proposal&oldid=76723"