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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]], [[692edo]], [[718edo]], [[851edo]], [[981edo]], [[5809edo]], [[6349edo]], [[8404edo]], [[10729edo]], [[28472edo]], [[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 ==
* Canou (94 & 99ef & 118f) – full 23-limit rank-3 temperament, my most important discovery
* Cathartic (94 & 99e & 118) – no-13 23-limit rank-3 temperament, one of my early discoveries
** Canta (75e & 80 & 104c) – alternative 13-limit extension thereof
** Canta (75e & 80 & 104c) – alternative 11-limit extension thereof
** Semicanou (94 & 104c & 118f) – weak 13-limit extension thereof
** Semicathart (94 & 104c & 118) – weak 11-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
* Semicanousmic (87 & 94 & 111 & 118f) – rank-4 detemperament of semicanou
* Semicathartismic (87 & 94 & 111 & 118) – rank-4 detemperament of semicathart
** Deuteromere (94 & 111 & 118) – no-7 no-13 retraction, part of a series of -mere names devised in cooperation with Aura
** Deuteromere (94 & 111 & 118) – no-7 retraction, part of a series of -mere names devised in cooperation with Aura
* Reiwa (99ef & 111 & 113ghh(?)) – another counterpart of deuteromere
** Floral (198 & 212) – 13-limit temperament thereof, weak extension of amicable
** 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
* Floral (198 & 212) – merge of semicanou and hemireiwa, weak extension of amicable
* Lux (41 & 46 & 270) named in cooperation with Godtone
* Lux (41 & 46 & 270) named in cooperation with Godtone
** Luminal (183 & 311) – as a result of tempering out lux and meter
** 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"
* 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"
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* Sif (46 & 270 & 1236)
* Sif (46 & 270 & 1236)
* 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
* Freyr (41 & 58h & 270)
* Counterpyth (7-limit add-19 41 & 53 & 58h) – NTT object analogous to parapyth, not related to countercomp


* Artoneutral (87 & 94)
* Artoneutral (87 & 94)
* Cutefourths (58 & 181)
* Cutefourths (58 & 181)
* Retrotonic (58 & 311)


== Comma names ==
== Comma names ==
* Canousma 4802000/4782969 ({{monzo| 4 -14 3 4 }}) (2020)
* Cathartic comma 4802000/4782969 ({{monzo| 4 -14 3 4 }}) (2020, modified in 2026)
* Semicanousma 14641/14580 (2020)
* Semicathartisma 14641/14580 (2020, modified in 2026)
* Semiporwellisma 16384/16335 (2021)
* Semiporwellisma 16384/16335 (2021)
* Wilschisma 532480/531441 (2021)
* Wilschisma 532480/531441 (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)
* Semitonisma 289/288 (2023)
* Semitonisma 289/288 (2023)
* Quadrantonisma 1156/1155 (2023)
* Quadrantonisma 1156/1155 (2023)
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** Twilight (152f & 176)
** Twilight (152f & 176)
* Countritonic extensions:  
* Countritonic extensions:  
** Ragitritonic (53 & 369)
** Ragitritonic (53 & 369f)
** Garitritonic (53 & 581)
** 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 (26 & 33cd) – a flat-of-flattone meantone extension
* Leapmonth (63 & 80) – ''cf''. leapday (29 & 46) and leapweek (46 & 63)
* 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|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>
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