User:FloraC/Temperament name proposal: Difference between revisions

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~~Ideas welcome!~~

For the record, edo pages I created: [[275edo]], [[316edo]], [[330edo]], [[354edo]], [[357edo]], [[431edo]], [[552edo]], [[566edo]], [[634edo]], [[639edo]], [[692edo]], [[718edo]], [[851edo]], [[894edo]], [[981edo]], [[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~~

** Canta (75e & 80 & 104c) – alternative 13-limit extension thereof

*** Syndeute (94 & 111 & 118f) – 19-limit extension thereof

** Semicanou (94 & 104c & 118f) – weak 13-limit extension thereof

* Orthocanousmic (94 & 99 & 99ef & 118f) – full 19-limit rank-4 nullity-4 temperament

** Humorous (198 & 311) – 13-limit temperament thereof, weak extension of amicable

** ~~Canou~~ (94 & ~~99 & 118) – 2.3.5.7.17.19 retraction, a counterpart of deuteromere~~

** Superlimmal (80 & 311) – 13-limit temperament thereof, with its own extensions in the higher limit

*** Synca (94 & 99ef & 118f) – ~~19-limit extension thereof~~

* Semicanousmic (87 & 94 & 111 & 118f) – rank-4 detemperament of semicanou

*** Canta (75e & 80 & 104c) – alternative 13-limit extension thereof

** Deuteromere (94 & 111 & 118) – no-7 no-13 retraction, part of a series of -mere names devised in cooperation with Aura

*** Humorous (198 & 311) – 13-limit temperament thereof, weak extension of amicable

* Reiwa (99ef & 111 & 113ghh(?)) – another counterpart of deuteromere

*** Superlimmal (80 & 311) – 13-limit temperament thereof, with its own extensions in the higher limit

** Hemireiwa (87 & 111 & 212gh)

* ~~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~~

* 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.

** ~~Demiwil~~ – 2.3.5.13.17.19 retraction thereof

** 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

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* 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:~~

* Artoneutral (87 & 94)

* Canousma (4802000/4782969 = {{monzo| 4 -14 3 4 }})

* Cutefourths (58 & 181)

* Reiwa comma (1280000000/1275989841 = {{monzo| 14 -12 7 -4 }})

* Semicanousma (14641/14580)

* Semiporwellisma (16384/16335)

* Wilschisma (532480/531441)

* Aureusma (1445/1444)

* Noellisma (1225/1224)

* ~~Olympia~~ (~~131072/130977~~)

* ~~Lambeth comma~~ (~~1573/1568~~)

Variations on existing roots:

== Comma names ==

* Parakleismic extensions

* Canousma 4802000/4782969 ({{monzo| 4 -14 3 4 }}) (2020)

** Paralytic (99e & 118) – analogous to catalytic

* Semicanousma 14641/14580 (2020)

** Semiparamint (80 & 118)

* Semiporwellisma 16384/16335 (2021)

** Semiparawolf (80 & 118f)

* 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 ({{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)

* <s>Undecapyth comma (2024)</s>

== 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

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** Bischis (118f & 130)

** Kleischis (94 & 118f)

** Helenois (53 & 118f)

** <s>Helenois (53 & 118f)</s>

** ~~Guironis~~ (41 & 118f)

** Guillon (41 & 118f)

** Pontis (118f & 171)

** <s>Pontis (118f & 171)</s>

** Octowerckis (72 & 104c)

** Slenderman (94 & 125f)

** Countermanna (145 & 176)

** Ennealimmalis (99ef & 171ef)

** Hemienneadecalis (152f & 342f)

** 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

* Mistynex (24 & 87 & 111)

* 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

[[Subgroup]]: 2.3.5.7.11.13

[[Comma list]]: 352/351, 847/845, 14641/14580

~~[[Mapping]]: [~~{{~~val~~| 1 0 2 12 1 6 ~~}}, {{val~~| 0 1 2 -4 2 -1 ~~}}, {{val~~| 0 0 4 4 1 1 }}]

{{Mapping|legend=1| 1 0 2 12 1 6 | 0 1 2 -4 2 -1 | 0 0 4 4 1 1 }}

[[Badness]]: 1.650 × 10<sup>-3</sup>

@@ Line 1: / Line 1: @@
-Ideas welcome!
+For the record, edo pages I created: [[275edo]], [[316edo]], [[330edo]], [[354edo]], [[357edo]], [[431edo]], [[552edo]], [[566edo]], [[634edo]], [[639edo]], [[692edo]], [[718edo]], [[851edo]], [[894edo]], [[981edo]], [[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
+** Canta (75e & 80 & 104c) – alternative 13-limit extension thereof
-*** Syndeute (94 & 111 & 118f) – 19-limit extension thereof
+** Semicanou (94 & 104c & 118f) – weak 13-limit extension thereof
-* Orthocanousmic (94 & 99 & 99ef & 118f) – full 19-limit rank-4 nullity-4 temperament
+** Humorous (198 & 311) – 13-limit temperament thereof, weak extension of amicable
-** Canou (94 & 99 & 118) – 2.3.5.7.17.19 retraction, a counterpart of deuteromere
+** Superlimmal (80 & 311) – 13-limit temperament thereof, with its own extensions in the higher limit
-*** Synca (94 & 99ef & 118f) – 19-limit extension thereof
+* Semicanousmic (87 & 94 & 111 & 118f) – rank-4 detemperament of semicanou
-*** Canta (75e & 80 & 104c) – alternative 13-limit extension thereof
+** Deuteromere (94 & 111 & 118) – no-7 no-13 retraction, part of a series of -mere names devised in cooperation with Aura
-*** Humorous (198 & 311) – 13-limit temperament thereof, weak extension of amicable
+* Reiwa (99ef & 111 & 113ghh(?)) – another counterpart of deuteromere
-*** Superlimmal (80 & 311) – 13-limit temperament thereof, with its own extensions in the higher limit
+** Hemireiwa (87 & 111 & 212gh)
-* 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
 * 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.
-** Demiwil – 2.3.5.13.17.19 retraction thereof
+** 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
@@ Line 25: / Line 20: @@
 * 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:
+* Artoneutral (87 & 94)
-* Canousma (4802000/4782969 = {{monzo| 4 -14 3 4 }})
+* Cutefourths (58 & 181)
-* Reiwa comma (1280000000/1275989841 = {{monzo| 14 -12 7 -4 }})
-* Semicanousma (14641/14580)
-* Semiporwellisma (16384/16335)
-* Wilschisma (532480/531441)
-* Aureusma (1445/1444)
-* Noellisma (1225/1224)
-* Olympia (131072/130977)
-* Lambeth comma (1573/1568)
-Variations on existing roots:
+== Comma names ==
-* Parakleismic extensions
+* Canousma 4802000/4782969 ({{monzo| 4 -14 3 4 }}) (2020)
-** Paralytic (99e & 118) – analogous to catalytic
+* Semicanousma 14641/14580 (2020)
-** Semiparamint (80 & 118)
+* Semiporwellisma 16384/16335 (2021)
-** Semiparawolf (80 & 118f)
+* 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 ({{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)
+* <s>Undecapyth comma (2024)</s>
+== 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
@@ Line 56: / Line 72: @@
 ** Bischis (118f & 130)
 ** Kleischis (94 & 118f)
-** Helenois (53 & 118f)
+** <s>Helenois (53 & 118f)</s>
-** Guironis (41 & 118f)
+** Guillon (41 & 118f)
-** Pontis (118f & 171)
+** <s>Pontis (118f & 171)</s>
 ** Octowerckis (72 & 104c)
 ** Slenderman (94 & 125f)
 ** Countermanna (145 & 176)
-** Ennealimmalis (99ef & 171ef)
 ** Hemienneadecalis (152f & 342f)
 ** 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
-* Mistynex (24 & 87 & 111)
 * 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
+[[Subgroup]]: 2.3.5.7.11.13
 [[Comma list]]: 352/351, 847/845, 14641/14580
-[[Mapping]]: [{{val| 1 0 2 12 1 6 }}, {{val| 0 1 2 -4 2 -1 }}, {{val| 0 0 4 4 1 1 }}]
+{{Mapping|legend=1| 1 0 2 12 1 6 | 0 1 2 -4 2 -1 | 0 0 4 4 1 1 }}
-{{Val list|legend=1| 87, 111, 181, 198, 379f, 490f }}
+{{Optimal ET sequence|legend=1| 87, 111, 181, 198, 379f, 490f }}
 [[Badness]]: 1.650 × 10<sup>-3</sup>