User:FloraC/Temperament name proposal: Difference between revisions

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Ideas welcome!
For the record, edo pages I created: [[275edo]], [[316edo]], [[330edo]], [[354edo]], [[357edo]], [[431edo]], [[552edo]], [[566edo]], [[634edo]], [[639edo]], [[718edo]], [[851edo]], [[981edo]], [[148418edo]].
 
== Temperament names ==
* Semicanousmic (87 & 94 & 111 & 118f) – full 19-limit rank-4 nullity-4 temperament, my most important discovery
** Deuteromere (94 & 111 & 118) – 2.3.5.11.17.19 retraction, part of a series of -mere names devised in cooperation with Aura
*** Syndeute (94 & 111 & 118f) – 19-limit extension thereof
* Canou (94 & 99 & 118) – 2.3.5.7.17.19 subgroup temperament
** Synca (94 & 99ef & 118f) – 19-limit extension thereof
** Canta (75e & 80 & 104c) – alternative 13-limit extension thereof
** Semicanou (94 & 118f & 198gh)
** Humorous (198 & 311) – 13-limit temperament thereof, weak extension of amicable
** Superlimmal (80 & 311) – 13-limit temperament thereof, with its own extensions in the higher limit
* Reiwa (99 & 111 & 113ghh) – 2.3.5.7.17.19 subgroup temperament, another counterpart of deuteromere
** Synre (99ef & 111 & 113ghh) – 19-limit extension thereof
** Hemireiwa (87 & 111 & 212gh)
* Demisymbiotic (94 & 99ef & 111 & 118f) – full 19-limit rank-4 nullity-4 temperament. Symbiotic was found by Aura. This extends it through a split of the second generator.
** Demiwill – 2.3.5.13.17.19 retraction thereof
* Floral (198 & 212) – merge of semicanou and hemireiwa, weak extension of amicable
* Artoneutral (87 & 94)


Temperament names:
* 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
* Luminal (183 & 311)
** Luminal (183 & 311) – as a result of tempering out lux and meter
* Superlimmal (80 & 311)
 
* Hera (46 & 53 & 130) – strong extension of porwell that seems really natural and spells much better than "hewuermity"
* Akua (41 & 46 & 53 & 58) – the Hawaiian word for "god"
* Lycoris (152 & 171 & 176)
* Orthoschismic (41 & 53 & 130)
* Cassaschismic (41 & 53 & 270)
* Androschismic (29 & 41 & 270)
* Sif (46 & 270 & 1236)
* Lif (41 & 130 & 270)
* Counterpyth (2.3.5.7.19 subgroup 41 & 53 & 58h) – NTT object analogous to parapyth, not related to countercomp


Comma names:
== Comma names ==
* Canousma (4802000/4782969)
* Canousma 4802000/4782969 = {{monzo| 4 -14 3 4 }} (2020)
* Semicanousma (14641/14580)
* Semicanousma 14641/14580 (2020)
* Wilschisma (532480/531441)
* Semiporwellisma 16384/16335 (2021)
* Aureusma (1445/1444)
* Wilschisma 532480/531441 (2021)
* Noema (1225/1224)
* Olympia 131072/130977 (2021)
* Aureusma 1445/1444 (2021)
* Noellisma 1225/1224 (2022)
* Lambeth comma 1573/1568 (2022)
* Reiwa comma 1280000000/1275989841 = {{monzo| 14 -12 7 -4 }} (2022)
* Semitonisma 289/288 (2023)
* Quadrantonisma 1156/1155 (2023)
* Sextantonisma 2601/2600 (2023)
* Countercomp comma, Pythagorean countercomma (2021)
* Gothic comma, Pythagorean gothma (2023)
* Nommisma {{monzo| -55 30 2 1 }} (2023)
* Counterwürschmidt comma (2023)
* Lifthrasirsma (2023)
* Undecapyth comma (2024)


Variations on existing roots:  
== Variations on existing roots ==
* Parakleismic extensions:  
** Parakleismic extensions:
*** Paralytic (11-limit 99e & 118) – analogous to catalytic
*** Semiparamint (13-limit 80 & 118)
*** Semiparawolf (13-limit 80 & 118f)
** Counterpara (11-limit 118 & 137)
* Semiseptiquarter (94 & 198)
* Semiseptiquarter (94 & 198)
* Semiparamint (80 & 118)
* Luna extensions
* Semiparawolf (80 & 118f)
** Semiluna (118 & 292)
** Hemiluna (87 & 323)
* Misty extensions
** Semimist (12f & 198)
* Term extensions
** Semiterm (12f & 342f) – originally proposed by Xenllium as ''hemiterm'', normalized to semi- for split period
** Hemiterm (159 & 183)
* Gary (41 & 135, 2.3.7.11)
* Gary (41 & 135, 2.3.7.11)
 
* Countertertiaschis (159 & 224) – by community request
== 22 & 46 & 72 ==
* Alternative 13-limit extensions tempering out 2080/2079 instead of 4096/4095
An 11-limit rank-3 temperament. Announced in FB group. To be called "headquarters".
** Bischis (118f & 130)
 
** Kleischis (94 & 118f)
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]].
** <s>Helenois (53 & 118f)</s>
 
** Guillon (41 & 118f)
=== 7-limit ===
** <s>Pontis (118f & 171)</s>
Subgroup: 2.3.5.7
** Octowerckis (72 & 104c)
 
** Slenderman (94 & 125f)
[[Comma list]]: 1500625/1492992
** Countermanna (145 & 176)
 
** Ennealimmalis (99ef & 171ef)
[[Mapping]]: [{{val| 2 1 0 7 }}, {{val| 0 2 0 3 }}, {{val| 0 0 1 -1 }}]
** Hemienneadecalis (152f & 342f)
 
** Hemipentalis (125f & 130)
Mapping generators: ~1225/864, ~35/24, ~5
* Amity extensions:  
 
** Calamity (46 & 311)
{{Multival|legend=1|rank=3| 4 -4 -6 11 }}
** Chromat extension:  
 
*** Hemichromat (159 & 198)
[[POTE generator]]s: ~36/35 = 50.9529 or ~48/35 = 549.0471, ~5/4 = 385.3326
** Immediate extensions of amicable:  
 
*** Amical (311 & 410)
{{Val list|legend=1| 22, 46, 68, 72, 118, 140, 212, 330, 470, 542d, 872cdd, 1012cdd, 1414ccddd }}
*** Amorous (212 & 311)
 
*** Pseudoamical (113 & 212)
[[Badness]]: 0.7042 × 10<sup>-3</sup>
*** Pseudoamorous (14cf & 99ef)
 
* Semiporwell (46 & 68 & 130) – one of many neat ways to exploit the semiporwellisma
=== 11-limit ===
* Squad (14cf & 17c) – an alternative 13-limit extension of squares that's good for detempering
Subgroup: 2.3.5.7.11
* Undim extensions:  
 
** Unlit (152f & 316)
[[Comma list]]: 385/384, 9801/9800
** Twilight (152f & 176)
 
* Countritonic extensions:  
[[Mapping]]: [{{val| 2 1 0 7 8 }}, {{val| 0 2 0 3 -1 }}, {{val| 0 0 1 -1 0 }}]
** Countritonic (53 & 422)
 
* Counterwürschmidt (5-limit 31 & 152)
Mapping generators: ~99/70, ~16/11, ~5
* Quasiultra (27 & 32) – superpyth : quasisuper :: ultrapyth : quasiultra
 
* Flattertone (26 & 33cd) – a flat-of-flattone meantone extension
[[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 ==
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


[[Mapping]]: [{{val| 1 0 2 12 1 6 }}, {{val| 0 1 2 -4 2 -1 }}, {{val| 0 0 4 4 1 1 }}]
{{Mapping|legend=1| 1 0 2 12 1 6 | 0 1 2 -4 2 -1 | 0 0 4 4 1 1 }}


{{Val list|legend=1| 87, 111, 181, 198, 379f, 490f }}
{{Optimal ET sequence|legend=1| 87, 111, 181, 198, 379f, 490f }}


[[Badness]]: 1.650 × 10<sup>-3</sup>
[[Badness]]: 1.650 × 10<sup>-3</sup>
== 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]]: [{{val| 1 0 0 10 0 5 }}, {{val| 0 1 0 -6 0 -3 }}, {{val| 0 0 1 1 0 0 }}, {{val| 0 0 0 0 1 1 }}]
{{Multival|legend=1|rank=4| 0 1 1 1 1 0 6 6 -3 -3 10 10 -5 -5 0 }}
[[POTE generator]]s: ~3/2 = 702.9075, ~5/4 = 387.0723, ~11/8 = 551.4538
{{Val list|legend=1| 12f, 17c, 29, 41, 46, 53, 58, 87, 111, 140, 198, 350f, 437f, 490f }}
[[Badness]]: 2.550 × 10<sup>-6</sup>

Latest revision as of 12:53, 15 July 2024

For the record, edo pages I created: 275edo, 316edo, 330edo, 354edo, 357edo, 431edo, 552edo, 566edo, 634edo, 639edo, 718edo, 851edo, 981edo, 148418edo.

Temperament names

  • Semicanousmic (87 & 94 & 111 & 118f) – full 19-limit rank-4 nullity-4 temperament, my most important discovery
    • Deuteromere (94 & 111 & 118) – 2.3.5.11.17.19 retraction, part of a series of -mere names devised in cooperation with Aura
      • Syndeute (94 & 111 & 118f) – 19-limit extension thereof
  • Canou (94 & 99 & 118) – 2.3.5.7.17.19 subgroup temperament
    • Synca (94 & 99ef & 118f) – 19-limit extension thereof
    • Canta (75e & 80 & 104c) – alternative 13-limit extension thereof
    • Semicanou (94 & 118f & 198gh)
    • Humorous (198 & 311) – 13-limit temperament thereof, weak extension of amicable
    • Superlimmal (80 & 311) – 13-limit temperament thereof, with its own extensions in the higher limit
  • Reiwa (99 & 111 & 113ghh) – 2.3.5.7.17.19 subgroup temperament, another counterpart of deuteromere
    • Synre (99ef & 111 & 113ghh) – 19-limit extension thereof
    • Hemireiwa (87 & 111 & 212gh)
  • Demisymbiotic (94 & 99ef & 111 & 118f) – full 19-limit rank-4 nullity-4 temperament. Symbiotic was found by Aura. This extends it through a split of the second generator.
    • Demiwill – 2.3.5.13.17.19 retraction thereof
  • Floral (198 & 212) – merge of semicanou and hemireiwa, weak extension of amicable
  • Artoneutral (87 & 94)
  • Lux (41 & 46 & 270) named in cooperation with Godtone
    • Luminal (183 & 311) – as a result of tempering out lux and meter
  • Hera (46 & 53 & 130) – strong extension of porwell that seems really natural and spells much better than "hewuermity"
  • Akua (41 & 46 & 53 & 58) – the Hawaiian word for "god"
  • Lycoris (152 & 171 & 176)
  • Orthoschismic (41 & 53 & 130)
  • Cassaschismic (41 & 53 & 270)
  • Androschismic (29 & 41 & 270)
  • Sif (46 & 270 & 1236)
  • Lif (41 & 130 & 270)
  • Counterpyth (2.3.5.7.19 subgroup 41 & 53 & 58h) – NTT object analogous to parapyth, not related to countercomp

Comma names

  • Canousma 4802000/4782969 = [4 -14 3 4⟩ (2020)
  • Semicanousma 14641/14580 (2020)
  • Semiporwellisma 16384/16335 (2021)
  • Wilschisma 532480/531441 (2021)
  • Olympia 131072/130977 (2021)
  • Aureusma 1445/1444 (2021)
  • Noellisma 1225/1224 (2022)
  • Lambeth comma 1573/1568 (2022)
  • Reiwa comma 1280000000/1275989841 = [14 -12 7 -4⟩ (2022)
  • Semitonisma 289/288 (2023)
  • Quadrantonisma 1156/1155 (2023)
  • Sextantonisma 2601/2600 (2023)
  • Countercomp comma, Pythagorean countercomma (2021)
  • Gothic comma, Pythagorean gothma (2023)
  • Nommisma [-55 30 2 1⟩ (2023)
  • Counterwürschmidt comma (2023)
  • Lifthrasirsma (2023)
  • Undecapyth comma (2024)

Variations on existing roots

  • Parakleismic extensions:
    • Parakleismic extensions:
      • Paralytic (11-limit 99e & 118) – analogous to catalytic
      • Semiparamint (13-limit 80 & 118)
      • Semiparawolf (13-limit 80 & 118f)
    • Counterpara (11-limit 118 & 137)
  • Semiseptiquarter (94 & 198)
  • Luna extensions
    • Semiluna (118 & 292)
    • Hemiluna (87 & 323)
  • Misty extensions
    • Semimist (12f & 198)
  • Term extensions
    • Semiterm (12f & 342f) – originally proposed by Xenllium as hemiterm, normalized to semi- for split period
    • Hemiterm (159 & 183)
  • Gary (41 & 135, 2.3.7.11)
  • Countertertiaschis (159 & 224) – by community request
  • Alternative 13-limit extensions tempering out 2080/2079 instead of 4096/4095
    • Bischis (118f & 130)
    • Kleischis (94 & 118f)
    • Helenois (53 & 118f)
    • Guillon (41 & 118f)
    • Pontis (118f & 171)
    • Octowerckis (72 & 104c)
    • Slenderman (94 & 125f)
    • Countermanna (145 & 176)
    • Ennealimmalis (99ef & 171ef)
    • Hemienneadecalis (152f & 342f)
    • Hemipentalis (125f & 130)
  • Amity extensions:
    • Calamity (46 & 311)
    • Chromat extension:
      • Hemichromat (159 & 198)
    • Immediate extensions of amicable:
      • Amical (311 & 410)
      • Amorous (212 & 311)
      • Pseudoamical (113 & 212)
      • Pseudoamorous (14cf & 99ef)
  • Semiporwell (46 & 68 & 130) – one of many neat ways to exploit the semiporwellisma
  • Squad (14cf & 17c) – an alternative 13-limit extension of squares that's good for detempering
  • Undim extensions:
    • Unlit (152f & 316)
    • Twilight (152f & 176)
  • Countritonic extensions:
    • Countritonic (53 & 422)
  • Counterwürschmidt (5-limit 31 & 152)
  • Quasiultra (27 & 32) – superpyth : quasisuper :: ultrapyth : quasiultra
  • Flattertone (26 & 33cd) – a flat-of-flattone meantone extension

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]]

Optimal ET sequence: 87, 111, 181, 198, 379f, 490f

Badness: 1.650 × 10-3

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