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
- Deuteromere (94 & 111 & 118) – 2.3.5.11.17.19 retraction, part of a series of -mere names devised in cooperation with Aura
- Orthocanousmic (94 & 99 & 99ef & 118f) – full 19-limit rank-4 nullity-4 temperament
- Canou (94 & 99 & 118) – 2.3.5.7.17.19 retraction, a counterpart of deuteromere
- Synca (94 & 99ef & 118f) – 19-limit extension thereof
- Canta (75e & 80 & 104c) – alternative 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
- Canou (94 & 99 & 118) – 2.3.5.7.17.19 retraction, a counterpart of deuteromere
- Paracanousmic (87 & 99ef & 111 & 113ghh) – full 19-limit rank-4 nullity-4 temperament
- Reiwa (99 & 111 & 113ghh) – 2.3.5.7.17.19 retraction, another counterpart of deuteromere
- Synre (99ef & 111 & 113ghh) – 19-limit extension thereof
- Reiwa (99 & 111 & 113ghh) – 2.3.5.7.17.19 retraction, another counterpart of deuteromere
- 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
- Semicanou (94 & 118f & 198gh) – merge of semicanousmic and orthocanousmic
- Hemireiwa (87 & 111 & 212gh) – merge of semicanousmic and paracanousmic
- 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)
- Parakleismic extensions:
- 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
Orthocanousmic
Subgroup: 2.3.5.7.11.13
Comma list: 2080/2079, 4621925/4605822
Mapping: [⟨1 0 0 -1 0 -6], ⟨0 1 2 2 0 3], ⟨0 0 -4 3 0 7], ⟨0 0 0 0 1 1]]
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.3120, ~81/70 = 254.6177, ~11/8 = 551.2945
Optimal ET sequence: 94, 113, 193e, 193f, 198, 311, 509, 721, 938, 1249
Badness: 26.5 × 10-6
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 1225/1224, 2080/2079, 256564/255879
Mapping: [⟨1 0 0 -1 0 -6 -5], ⟨0 1 2 2 0 3 6], ⟨0 0 -4 3 0 7 -2], ⟨0 0 0 0 1 1 0]]
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.3391, ~81/70 = 254.6143, ~11/8 = 551.2678
Optimal ET sequence: 94, 118f, 193e, 193f, 198g, 212g, 217, 311, 509, 721, 938, 1447b, 1659b
Badness: 41.6 × 10-6
19-limit
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 1216/1215, 1225/1224, 1445/1444, 2080/2079
Mapping: [⟨1 0 0 -1 0 -6 -5 -6], ⟨0 1 2 2 0 3 6 7], ⟨0 0 -4 3 0 7 -2 -4], ⟨0 0 0 0 1 1 0 0]]
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.3182, ~81/70 = 254.6205, ~11/8 = 551.2767
Optimal ET sequence: 94, 118f, 193e, 193f, 198gh, 212gh, 217, 311, 627h, 721, 938, 1032, 1249
Badness: 47.2 × 10-6
Paracanousmic
Subgroup: 2.3.5.7.11.13
Comma list: 2080/2079, 831875/830466
Mapping: [⟨1 0 2 7 0 0], ⟨0 1 0 -3 0 0], ⟨0 0 4 7 0 3], ⟨0 0 0 0 1 1]]
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.1596, ~55/52 = 96.5027, ~11/8 = 551.1788
Optimal ET sequence: 87, 111, 186, 198, 224, 311, 422, 634, 733f, 858, 945, 1169, 1367, 1591f
Badness: 9.66 × 10-6
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 2080/2079, 2500/2499, 41140/41067
Mapping: [⟨1 0 2 7 0 0 -4], ⟨0 1 0 -3 0 0 5], ⟨0 0 4 7 0 3 2], ⟨0 0 0 0 1 1 0]]
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.3034, ~55/52 = 96.5472, ~11/8 = 551.1166
Optimal ET sequence: 87, 99ef, 111, 198g, 212g, 299, 311, 422, 721, 733f, 931fg, 1143, 1565bf
Badness: 32.2 × 10-6
19-limit
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 1216/1215, 1445/1444, 2080/2079, 2500/2499
Mapping: [⟨1 0 2 7 0 0 -4 -4], ⟨0 1 0 -3 0 0 5 5], ⟨0 0 4 7 0 3 2 4], ⟨0 0 0 0 1 1 0 0]]
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.2902, ~55/52 = 96.5420, ~11/8 = 551.1238
Optimal ET sequence: 87, 99ef, 111, 198gh, 210efgh, 212g, 299, 311, 422, 733f, 1056, 1143h, 1454fh
Badness: 37.2 × 10-6
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