User:FloraC/Temperament name proposal

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