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]], [[1205edo]], [[5809edo]], [[6349edo]], [[8404edo]], [[10729edo]], [[28472edo]], [[148418edo]].

~~[[User:Xenllium #Rank two temperaments which this user proposed~~ names~~]] needs~~ to ~~be treated seriously someday.~~

== Temperament names ==

* Cathartic (94 & 99e & 118) – no-13 23-limit rank-3 temperament, one of my early discoveries

** Canta (75e & 80 & 104c) – alternative 11-limit extension thereof

** Semicathart (94 & 104c & 118) – weak 11-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

* Semicathartismic (87 & 94 & 111 & 118) – rank-4 detemperament of semicathart

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

** Floral (198 & 212) – 13-limit temperament thereof, weak extension of amicable

* 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

* 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)

* Freyr (41 & 58h & 270)

* Counterpyth (7-limit add-19 41 & 53 & 58h) – NTT object analogous to parapyth, not related to countercomp

~~= 22~~ & 46 & ~~72 =~~

* Artoneutral (87 & 94)

~~An 11-limit rank-3 temperament. Announced in FB group. To be called "quasiquarter".~~

* Cutefourths (58 & 181)

~~It tempers out 1500625~~/~~1492992 =~~ {{monzo| -~~11 -6 4~~ 4 }} in ~~the 7-limit~~, ~~and the keenanisma, [[385~~/~~384]], the kalisma, [[9801~~/~~9800]]~~, ~~as well as the [[Alpharabian~~ comma]], ~~131769/131072 =~~ {{monzo| -17 2 ~~0 0 4~~ }}~~, in the 11-limit.~~

== Comma names ==

* Cathartic comma 4802000/4782969 ({{monzo| 4 -14 3 4 }}) (2020, modified in 2026)

* Semicathartisma 14641/14580 (2020, modified in 2026)

* 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)

* 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>

~~It features splitting the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most valuable for those who would like to make extensive use of quartertones.~~

== Variations on existing roots ==

* Parakleismic extensions:

It can be viewed as one which is joined by the three quartertone-sized edos: [[22edo]], [[24edo]], and [[26edo]]. It shares the [[optimal patent val]], [[284edo]] with [[Keenanismic family|keenanismic]].

** Parakleismic extensions:

*** Paralytic (11-limit 99e & 118) – analogous to catalytic

== ~~7-limit~~ ==

*** Semiparamint (13-limit 80 & 118)

*** Semiparawolf (13-limit 80 & 118f)

~~Comma~~: ~~1500625/1492992~~

** Counterpara (11-limit 118 & 137)

* Semiseptiquarter (94 & 198)

~~Map: [<2 1 0 7|, <0 2 0 3|, <0 0 1~~ -~~1|]~~

* Luna extensions

** Semiluna (118 & 292)

~~Mapping generators: ~1225/864, ~35/24, ~5~~

** Hemiluna (87 & 323)

* Misty extensions

~~Wedgie: <<< 4~~ -~~4 -6 11 |||~~

** Semimist (12f & 198)

* Term extensions

~~POTE generators: ~36/35 = 50.9529 or ~48/35 = 549.0471, ~5/4 = 385.3326~~

** Semiterm (12f & 342f) – originally proposed by Xenllium as ''hemiterm'', normalized to semi- for split period

** Hemiterm (159 & 183)

~~EDOs: {{EDOs| 22, 46, 68, 72,~~ 118~~, 140, 212, 330, 470 }}~~

* Gary (41 & 135, 2.3.7.11)

* Countertertiaschis (159 & 224) – by community request

~~Badness: 0.7042 × 10-3~~

* Alternative 13-limit extensions tempering out 2080/2079 instead of 4096/4095

** Bischis (118f & 130)

~~== 11-limit ==~~

** Kleischis (94 & 118f)

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

~~Commas: 385/384~~, ~~9801/9800~~

** Guillon (41 & 118f)

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

~~Map: [<2 1 0 7 8|~~, <0 2 0 3 ~~-1|, <0 0 1 -1 0|]~~

** Octowerckis (72 & 104c)

** Slenderman (94 & 125f)

~~Mapping generators: ~99~~/~~70, ~16~~/~~11, ~5~~

** Countermanna (145 & 176)

** Hemienneadecalis (152f & 342f)

~~POTE generators: ~33~~/~~32 = 50.7404 or ~11/8 = 549.2596, ~5/4 = 385.0315~~

** Hemipentalis (125f & 130)

* Amity extensions:

~~EDOs: {{EDOs| 22, 46, 68, 72, 118, 190, 212, 284, 330e }}~~

** Calamity (46 & 311)

** Chromat extension:

~~Badness: 0.5292 × 10~~<~~sup~~>-3</~~sup~~>

*** Hemichromat (159 & 198)

** Immediate extensions of amicable:

~~= 87~~ & 94 & ~~111 =~~

*** Amical (311 & 410)

~~An unnamed 13-limit rank-3 temperament.~~

*** Amorous (212 & 311)

*** Pseudoamical (113 & 212)

~~Commas~~: ~~352/351, 847/845, 14641/14580~~

*** Pseudoamorous (14cf & 99ef)

* Semiporwell (46 & 68 & 130) – one of many neat ways to exploit the semiporwellisma

~~Map~~: ~~[<1 0 2 12 1 6|, <0 1 2 -4 2 -1|, <0 0 4 4 1 1|]~~

* Squad (14cf & 17c) – an alternative 13-limit extension of squares that's good for detempering

* Undim extensions:

~~EDOs~~: ~~7, 17c, 24d, 87, 111, 181, 198~~

** Unlit (152f & 316)

** Twilight (152f & 176)

~~Badness: 0.0540 × 10-3~~

* Countritonic extensions:

** Ragitritonic (53 & 369f)

~~= 41~~ & 46 & 53 & ~~58 =~~

** Garitritonic (53 & 581)

~~An unnamed~~ 13-limit ~~rank-4 temperament.~~

* Vishnu extensions:

** Trivish (84 & 186)

~~Commas~~: ~~352/351, 847/845~~

* Counterwürschmidt (5-limit 31 & 152)

* Quasiultra (27 & 32) – superpyth : quasisuper :: ultrapyth : quasiultra

~~Map~~: ~~[<1 0 0 10 0~~ 5~~|, <0 1 0~~ -~~6 0 -3|, <0 0 1 1 0 0|, <0 0 0 0 1 1|]~~

* Flattertone (26 & 33cd) – a flat-of-flattone meantone extension

* Leapmonth (63 & 80) – ''cf''. leapday (29 & 46) and leapweek (46 & 63)

~~Wedgie: <<<<0 1 1 1 1 0 6 6~~ -~~3 -3 10 10 -5~~ -~~5 0||||~~

~~POTE generators: ~3/2 = 702.9075, ~5/4 = 387.0723, ~11/8 = 551~~.~~4538~~

~~EDOs: 12f, 17c,~~ 29~~, 41,~~ 46~~, 53, 58, 87, 111, 140, 198~~

~~Badness: 2.550 × 10-6~~

@@ 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]], [[1205edo]], [[5809edo]], [[6349edo]], [[8404edo]], [[10729edo]], [[28472edo]], [[148418edo]].
-[[User:Xenllium #Rank two temperaments which this user proposed names]] needs to be treated seriously someday.
+== Temperament names ==
+* Cathartic (94 & 99e & 118) – no-13 23-limit rank-3 temperament, one of my early discoveries
+** Canta (75e & 80 & 104c) – alternative 11-limit extension thereof
+** Semicathart (94 & 104c & 118) – weak 11-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
+* Semicathartismic (87 & 94 & 111 & 118) – rank-4 detemperament of semicathart
+** Deuteromere (94 & 111 & 118) – no-7 retraction, part of a series of -mere names devised in cooperation with Aura
+** Floral (198 & 212) – 13-limit temperament thereof, weak extension of amicable
+* 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
+* 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)
+* Freyr (41 & 58h & 270)
+* Counterpyth (7-limit add-19 41 & 53 & 58h) – NTT object analogous to parapyth, not related to countercomp
-=  22 & 46 & 72 =
+* Artoneutral (87 & 94)
-An 11-limit rank-3 temperament. Announced in FB group. To be called "quasiquarter".
+* Cutefourths (58 & 181)
-It tempers out 1500625/1492992 = {{monzo| -11 -6 4 4 }} in the 7-limit, and the keenanisma, [[385/384]], the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo| -17 2 0 0 4 }}, in the 11-limit.
+== Comma names ==
+* Cathartic comma 4802000/4782969 ({{monzo| 4 -14 3 4 }}) (2020, modified in 2026)
+* Semicathartisma 14641/14580 (2020, modified in 2026)
+* 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)
+* 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>
-It features splitting the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most valuable for those who would like to make extensive use of quartertones.
+== Variations on existing roots ==
+* Parakleismic extensions:
-It can be viewed as one which is joined by the three quartertone-sized edos: [[22edo]], [[24edo]], and [[26edo]]. It shares the [[optimal patent val]], [[284edo]] with [[Keenanismic family|keenanismic]].
+** Parakleismic extensions:
+*** Paralytic (11-limit 99e & 118) – analogous to catalytic
-== 7-limit ==
+*** Semiparamint (13-limit 80 & 118)
+*** Semiparawolf (13-limit 80 & 118f)
-Comma: 1500625/1492992
+** Counterpara (11-limit 118 & 137)
+* Semiseptiquarter (94 & 198)
-Map: [<2 1 0 7|, <0 2 0 3|, <0 0 1 -1|]
+* Luna extensions
+** Semiluna (118 & 292)
-Mapping generators: ~1225/864, ~35/24, ~5
+** Hemiluna (87 & 323)
+* Misty extensions
-Wedgie: <<< 4 -4 -6 11 |||
+** Semimist (12f & 198)
+* Term extensions
-POTE generators: ~36/35 = 50.9529 or ~48/35 = 549.0471, ~5/4 = 385.3326
+** Semiterm (12f & 342f) – originally proposed by Xenllium as ''hemiterm'', normalized to semi- for split period
+** Hemiterm (159 & 183)
-EDOs: {{EDOs| 22, 46, 68, 72, 118, 140, 212, 330, 470 }}
+* Gary (41 & 135, 2.3.7.11)
+* Countertertiaschis (159 & 224) – by community request
-Badness: 0.7042 × 10<sup>-3</sup>
+* Alternative 13-limit extensions tempering out 2080/2079 instead of 4096/4095
+** Bischis (118f & 130)
-== 11-limit ==
+** Kleischis (94 & 118f)
+** <s>Helenois (53 & 118f)</s>
-Commas: 385/384, 9801/9800
+** Guillon (41 & 118f)
+** <s>Pontis (118f & 171)</s>
-Map: [<2 1 0 7 8|, <0 2 0 3 -1|, <0 0 1 -1 0|]
+** Octowerckis (72 & 104c)
+** Slenderman (94 & 125f)
-Mapping generators: ~99/70, ~16/11, ~5
+** Countermanna (145 & 176)
+** Hemienneadecalis (152f & 342f)
-POTE generators: ~33/32 = 50.7404 or ~11/8 = 549.2596, ~5/4 = 385.0315
+** Hemipentalis (125f & 130)
+* Amity extensions:
-EDOs: {{EDOs| 22, 46, 68, 72, 118, 190, 212, 284, 330e }}
+** Calamity (46 & 311)
+** Chromat extension:
-Badness: 0.5292 × 10<sup>-3</sup>
+*** Hemichromat (159 & 198)
+** Immediate extensions of amicable:
-= 87 & 94 & 111 =
+*** Amical (311 & 410)
-An unnamed 13-limit rank-3 temperament.
+*** Amorous (212 & 311)
+*** Pseudoamical (113 & 212)
-Commas: 352/351, 847/845, 14641/14580
+*** Pseudoamorous (14cf & 99ef)
+* Semiporwell (46 & 68 & 130) – one of many neat ways to exploit the semiporwellisma
-Map: [<1 0 2 12 1 6|, <0 1 2 -4 2 -1|, <0 0 4 4 1 1|]
+* Squad (14cf & 17c) – an alternative 13-limit extension of squares that's good for detempering
+* Undim extensions:
-EDOs: 7, 17c, 24d, 87, 111, 181, 198
+** Unlit (152f & 316)
+** Twilight (152f & 176)
-Badness: 0.0540 × 10<sup>-3</sup>
+* Countritonic extensions:
+** Ragitritonic (53 & 369f)
-= 41 & 46 & 53 & 58 =
+** Garitritonic (53 & 581)
-An unnamed 13-limit rank-4 temperament.
+* Vishnu extensions:
+** Trivish (84 & 186)
-Commas: 352/351, 847/845
+* Counterwürschmidt (5-limit 31 & 152)
+* Quasiultra (27 & 32) – superpyth : quasisuper :: ultrapyth : quasiultra
-Map: [<1 0 0 10 0 5|, <0 1 0 -6 0 -3|, <0 0 1 1 0 0|, <0 0 0 0 1 1|]
+* Flattertone (26 & 33cd) – a flat-of-flattone meantone extension
+* Leapmonth (63 & 80) – ''cf''. leapday (29 & 46) and leapweek (46 & 63)
-Wedgie: <<<<0 1 1 1 1 0 6 6 -3 -3 10 10 -5 -5 0||||
-POTE generators: ~3/2 = 702.9075, ~5/4 = 387.0723, ~11/8 = 551.4538
-EDOs: 12f, 17c, 29, 41, 46, 53, 58, 87, 111, 140, 198
-Badness: 2.550 × 10<sup>-6</sup>