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]], [[851edo]], [[981edo]], [[148418edo]]. | |||
Temperament names | == Temperament names == | ||
* Semicanousmic (87 & 94 & 111 & 118f) – full 19-limit rank-4 nullity-4 temperament, my most important discovery | * 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 | ** 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 | ** 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 | ||
* Floral (198 & 212) – merge of semicanou and | ** 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 | * Lux (41 & 46 & 270) named in cooperation with Godtone | ||
| Line 20: | Line 24: | ||
* Hera (46 & 53 & 130) – strong extension of porwell that seems really natural and spells much better than "hewuermity" | * 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" | * 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 | * Canousma 4802000/4782969 = {{monzo| 4 -14 3 4 }} (2020) | ||
* Semicanousma | * Semicanousma 14641/14580 (2020) | ||
* Semiporwellisma | * Semiporwellisma 16384/16335 (2021) | ||
* Wilschisma | * Wilschisma 532480/531441 (2021) | ||
* Aureusma | * Olympia 131072/130977 (2021) | ||
* Noellisma | * 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 (99e & 118) – analogous to catalytic | ** Parakleismic extensions: | ||
** Semiparamint (80 & 118) | *** Paralytic (11-limit 99e & 118) – analogous to catalytic | ||
** Semiparawolf (80 & 118f) | *** Semiparamint (13-limit 80 & 118) | ||
*** Semiparawolf (13-limit 80 & 118f) | |||
** Counterpara (11-limit 118 & 137) | |||
* Semiseptiquarter (94 & 198) | * Semiseptiquarter (94 & 198) | ||
* Luna extensions | * Luna extensions | ||
| Line 50: | Line 73: | ||
** Bischis (118f & 130) | ** Bischis (118f & 130) | ||
** Kleischis (94 & 118f) | ** Kleischis (94 & 118f) | ||
** Helenois (53 & 118f) | ** <s>Helenois (53 & 118f)</s> | ||
** | ** Guillon (41 & 118f) | ||
** Pontis (118f & 171) | ** <s>Pontis (118f & 171)</s> | ||
** Octowerckis (72 & 104c) | ** Octowerckis (72 & 104c) | ||
** Slenderman (94 & 125f) | ** Slenderman (94 & 125f) | ||
| Line 59: | Line 82: | ||
** Hemienneadecalis (152f & 342f) | ** Hemienneadecalis (152f & 342f) | ||
** Hemipentalis (125f & 130) | ** Hemipentalis (125f & 130) | ||
* Immediate extensions of amicable: | * Amity extensions: | ||
** Amical (311 & 410) | ** Calamity (46 & 311) | ||
** Amorous (212 & 311) | ** Chromat extension: | ||
** Pseudoamical (113 & 212) | *** Hemichromat (159 & 198) | ||
** Pseudoamorous (14cf & 99ef) | ** 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 | * 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 | * Squad (14cf & 17c) – an alternative 13-limit extension of squares that's good for detempering | ||
* Undim extensions: | * Undim extensions: | ||
** Unlit (152f & 316) | ** Unlit (152f & 316) | ||
** Twilight (152f & 176) | ** 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 == | == 87 & 94 & 111 == | ||
An unnamed 13-limit rank-3 temperament. Gotta find a name from Hawaiian myth like other hemifamity temperaments. | 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 | [[Subgroup]]: 2.3.5.7.11.13 | ||
[[Comma list]]: 352/351, 847/845, 14641/14580 | [[Comma list]]: 352/351, 847/845, 14641/14580 | ||
{{Mapping|legend=1| 1 0 2 12 1 6 | 0 1 2 -4 2 -1 | 0 0 4 4 1 1 }} | |||
{{ | {{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> | ||
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
- Deuteromere (94 & 111 & 118) – 2.3.5.11.17.19 retraction, part of a series of -mere names devised in cooperation with Aura
- 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)
- 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
- 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