User:FloraC/Temperament name proposal: Difference between revisions

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For the record, edo pages I created: [[275edo]], [[316edo]], [[330edo]], [[354edo]], [[357edo]], [[431edo]], [[552edo]], [[566edo]], [[634edo]], [[639edo]], [[718edo]], [[981edo]], [[148418edo]].  
For the record, edo pages I created: [[275edo]], [[316edo]], [[330edo]], [[354edo]], [[357edo]], [[431edo]], [[552edo]], [[566edo]], [[634edo]], [[639edo]], [[692edo]], [[718edo]], [[851edo]], [[894edo]], [[981edo]], [[1205edo]], [[5809edo]], [[6349edo]], [[8404edo]], [[10729edo]], [[28472edo]], [[148418edo]].  


== Temperament names ==
== Temperament names ==
* Semicanousmic (87 & 94 & 111 & 118f) – full 19-limit rank-4 nullity-4 temperament, my most important discovery
* Canou (94 & 99ef & 118f) – full 23-limit rank-3 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
** Canta (75e & 80 & 104c) – alternative 13-limit extension thereof
** Semicanou (94 & 104c & 118f) – weak 13-limit extension thereof
** Humorous (198 & 311) – 13-limit temperament thereof, weak extension of amicable
** 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
** 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
* Semicanousmic (87 & 94 & 111 & 118f) – rank-4 detemperament of semicanou
** Synre (99ef & 111 & 113ghh) – 19-limit extension thereof
** Deuteromere (94 & 111 & 118) – no-7 no-13 retraction, part of a series of -mere names devised in cooperation with Aura
* Reiwa (99ef & 111 & 113ghh(?)) – another counterpart of deuteromere
** 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.  
* 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
** Demiwill – 2.3.5.13.17.19 retraction thereof
* Semicanou (94 & 118f & 198gh)
* Hemireiwa (87 & 111 & 212gh)
* Floral (198 & 212) – merge of semicanou and hemireiwa, weak extension of amicable
* Floral (198 & 212) – merge of semicanou and hemireiwa, weak extension of amicable
* Artoneutral (87 & 94)


* Lux (41 & 46 & 270) named in cooperation with Godtone
* Lux (41 & 46 & 270) named in cooperation with Godtone
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* Lif (41 & 130 & 270)
* Lif (41 & 130 & 270)
* Counterpyth (2.3.5.7.19 subgroup 41 & 53 & 58h) – NTT object analogous to parapyth, not related to countercomp
* Counterpyth (2.3.5.7.19 subgroup 41 & 53 & 58h) – NTT object analogous to parapyth, not related to countercomp
* Artoneutral (87 & 94)
* Cutefourths (58 & 181)


== Comma names ==
== Comma names ==
* Canousma 4802000/4782969 = {{monzo| 4 -14 3 4 }} (2020)
* Canousma 4802000/4782969 ({{monzo| 4 -14 3 4 }}) (2020)
* Semicanousma 14641/14580 (2020)
* Semicanousma 14641/14580 (2020)
* Semiporwellisma 16384/16335 (2021)
* Semiporwellisma 16384/16335 (2021)
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* Noellisma 1225/1224 (2022)
* Noellisma 1225/1224 (2022)
* Lambeth comma 1573/1568 (2022)
* Lambeth comma 1573/1568 (2022)
* Reiwa comma 1280000000/1275989841 = {{monzo| 14 -12 7 -4 }} (2022)
* Reiwa comma 1280000000/1275989841 ({{monzo| 14 -12 7 -4 }}) (2022)
* Semitonisma 289/288 (2023)
* Semitonisma 289/288 (2023)
* Quadrantonisma 1156/1155 (2023)
* Quadrantonisma 1156/1155 (2023)
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* Counterwürschmidt comma (2023)
* Counterwürschmidt comma (2023)
* Lifthrasirsma (2023)
* Lifthrasirsma (2023)
* Undecapyth comma (2024)
* <s>Undecapyth comma (2024)</s>


== Variations on existing roots ==
== Variations on existing roots ==
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** Slenderman (94 & 125f)
** Slenderman (94 & 125f)
** Countermanna (145 & 176)
** Countermanna (145 & 176)
** Ennealimmalis (99ef & 171ef)
** Hemienneadecalis (152f & 342f)
** Hemienneadecalis (152f & 342f)
** Hemipentalis (125f & 130)
** Hemipentalis (125f & 130)
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** Twilight (152f & 176)
** Twilight (152f & 176)
* Countritonic extensions:  
* Countritonic extensions:  
** Countritonic (53 & 422)
** Ragitritonic (53 & 369)
** Garitritonic (53 & 581)
* Vishnu extensions:
** Trivish (84 & 186)
* Counterwürschmidt (5-limit 31 & 152)
* Counterwürschmidt (5-limit 31 & 152)
* Quasiultra (27 & 32) – superpyth : quasisuper :: ultrapyth : quasiultra
* Quasiultra (27 & 32) – superpyth : quasisuper :: ultrapyth : quasiultra
 
* Flattertone (26 & 33cd) – a flat-of-flattone meantone extension
== Flattertone? ==
* Leapmonth (63 & 80) – ''cf''. leapday (29 & 46) and leapweek (46 & 63)
[[Subgroup]]: 2.3.5.7
 
[[Comma list]]: 81/80, 1875/1792
 
{{Mapping|legend=1| 1 0 -4 -24 | 0 1 4 17 }}
 
: mapping generators: ~2, ~3
 
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 692.6984
* [[CWE]]: ~2 = 1\1, ~3/2 = 692.0479
 
{{Optimal ET sequence|legend=1| 7d, 19d, 26, 59bcd, 85bccd }}
 
[[Badness]]: 0.0961


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

Latest revision as of 16:40, 13 July 2026

For the record, edo pages I created: 275edo, 316edo, 330edo, 354edo, 357edo, 431edo, 552edo, 566edo, 634edo, 639edo, 692edo, 718edo, 851edo, 894edo, 981edo, 1205edo, 5809edo, 6349edo, 8404edo, 10729edo, 28472edo, 148418edo.

Temperament names

  • Canou (94 & 99ef & 118f) – full 23-limit rank-3 temperament, my most important discovery
    • Canta (75e & 80 & 104c) – alternative 13-limit extension thereof
    • Semicanou (94 & 104c & 118f) – weak 13-limit extension thereof
    • 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
  • Semicanousmic (87 & 94 & 111 & 118f) – rank-4 detemperament of semicanou
    • Deuteromere (94 & 111 & 118) – no-7 no-13 retraction, part of a series of -mere names devised in cooperation with Aura
  • Reiwa (99ef & 111 & 113ghh(?)) – another counterpart of deuteromere
    • 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
  • 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
  • Artoneutral (87 & 94)
  • Cutefourths (58 & 181)

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)
    • 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:
    • Ragitritonic (53 & 369)
    • Garitritonic (53 & 581)
  • Vishnu extensions:
    • Trivish (84 & 186)
  • Counterwürschmidt (5-limit 31 & 152)
  • Quasiultra (27 & 32) – superpyth : quasisuper :: ultrapyth : quasiultra
  • Flattertone (26 & 33cd) – a flat-of-flattone meantone extension
  • Leapmonth (63 & 80) – cf. leapday (29 & 46) and leapweek (46 & 63)

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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