User:Xenllium: Difference between revisions

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'''Xenllium''' joined Xenharmonic Wiki on 15 November 2018. The name "Xenllium" is a portmanteau of "Xenharmonic" and "''[[Wikipedia:Trillium|Trillium]]''".
'''Xenllium''' joined Xenharmonic Wiki on 15 November 2018. The name "Xenllium" is a portmanteau of "Xenharmonic" and "''[[Wikipedia:Trillium|Trillium]]''".


== Rank two temperaments which this user proposed names ==
== Temperaments which this user proposed names ==
This user proposed new names for following temperaments.
This user proposed new names for following temperaments.


===<font style="font-size: 1.15em">Proposed in March 2019</font>===
===<font style="font-size: 1.15em">Proposed in 2019</font>===
'''<font style="font-size: 1.15em">14 March 2019</font>'''
'''<font style="font-size: 1.15em">March 2019</font>'''
; [[Porwell temperaments #Icositritonic|Icositritonic]] (46 &amp; 161)
* [[Icositritonic]]
'''7-limit'''<br>
* [[Hemicocomp|Hemicounterpyth]] (→ Hemicocomp)
Comma list: 6144/6125, 9920232/9765625<br>
* [[Hemermacomp|Hemermapyth]] (→ Hemermacomp)
Mapping: [{{val|23 37 54 64}}, {{val|0 -1 -1 1}}]<br>
* [[Pentacontatritonic]]
POTE generator: ~64/63 = 29.3586<br>
* Hectaheptacontahenatonic (171 &amp; 17442)
Vals: 23, 46, 115, 161, 207, 368c<br>
* [[Meridic]]
Badness: 0.196622<br><br>
* Tetracontaheptatonic (94 &amp; 705)
'''11-limit'''<br>
* [[Palladium]]
Comma list: 441/440, 6144/6125, 35937/35840<br>
'''<font style="font-size: 1.15em">April 2019</font>'''
Mapping: [{{val|23 37 54 64 79}}, {{val|0 -1 -1 1 1}}]<br>
* [[Septisemitonic]]
POTE generator: ~64/63 = 29.3980<br>
* [[Tertiathirds]]
Vals: 23, 46, 115, 161, 207, 368c<br>
* [[Tertiaschis]]
Badness: 0.064613<br><br>
'''13-limit'''<br>
Comma list: 351/350, 441/440, 847/845, 3584/3575<br>
Mapping: [{{val|23 37 54 64 79 84}}, {{val|0 -1 -1 1 1 2}}]<br>
POTE generator: ~64/63 = 29.2830<br>
Vals: 46, 115, 161, 207, 368c<br>
Badness: 0.040484<br><br>
'''17-limit'''<br>
Comma list: 351/350, 441/440, 561/560, 847/845, 1089/1088<br>
Mapping: [{{val|23 37 54 64 79 84 94}}, {{val|0 -1 -1 1 1 2 0}}]<br>
POTE generator: ~64/63 = 29.2800<br>
Vals: 46, 115, 161, 207, 368c<br>
Badness: 0.024676<br><br>
'''19-limit'''<br>
Comma list: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845<br>
Mapping: [{{val|23 37 54 64 79 84 94 96}}, {{val|0 -1 -1 1 1 2 0 3}}]<br>
POTE generator: ~64/63 = 29.3760<br>
Vals: 46, 115, 161, 207, 368c<br>
Badness: 0.021579<br><br>
'''23-limit'''<br>
Comma list: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845<br>
Mapping: [{{val|23 37 54 64 79 84 94 96 104}}, {{val|0 -1 -1 1 1 2 0 3 0}}]<br>
POTE generator: ~64/63 = 29.3471<br>
Vals: 46, 115, 161, 207, 368ci<br>
Badness: 0.017745<br><br>
; [[Counterpyth family #Hemicounterpyth|Hemicounterpyth]] (41 &amp; 328)
<font style="font-size: 0.85em">(Name revised from ''Tetracontahenatonic'' (7-limit) and ''Tetracontahenic'' (11-limit) on 8 August 2021)</font><br>
'''7-limit'''<br>
Comma list: 2401/2400, 52613349376/52301766015<br>
Mapping: [{{val|41 65 95 115}}, {{val|0 0 2 1}}]<br>
POTE generator: ~8/7 = 231.0446<br>
Vals: 41, 328, 369, 779<br>
Badness: 0.134559<br><br>
'''11-limit'''<br>
Comma list: 2401/2400, 16384/16335, 19712/19683<br>
Mapping: [{{val|41 65 95 115 142}}, {{val|0 0 2 1 -1}}]<br>
POTE generator: ~8/7 = 230.8276<br>
EDOs: 41, 328, 369<br>
Badness: 0.064400<br><br>
; [[Counterpyth family #Hemermapyth|Hemermapyth]] (41 &amp; 410)
<font style="font-size: 0.85em">(Name revised from ''Tetracontahenatonic'' on 8 August 2021)</font><br>
'''11-limit'''<br>
Comma list: 2401/2400, 59290/59049, 131072/130977<br>
Mapping: [{{val|41 65 95 115 142}}, {{val|0 0 2 1 -2}}]<br>
POTE generator: ~8/7 = 231.3847<br>
EDOs: 41, 328e, 369e, 410, 451, 861e, 2173bcee<br>
Badness: 0.100152<br><br>
'''13-limit'''<br>
Comma list: 2080/2079, 2401/2400, 4096/4095, 59290/59049<br>
Mapping: [{{val|41 65 95 115 142 152}}, {{val|0 0 2 1 -2 -3}}]<br>
POTE generator: ~8/7 = 231.3787<br>
EDOs: 41, 410, 451, 861e, 2173bcee<br>
Badness: 0.060512<br><br>
; [[Mercator family #Schismerc|Pentacontatritonic]] (53 &amp; 265)
'''11-limit'''<br>
Comma list: 540/539, 15625/15552, 32805/32768<br>
Mapping: [{{val|53 84 123 149 183}}, {{val|0 0 0 -1 2}}]<br>
POTE generator: ~8/7 = 230.5645<br>
Vals: 53, 159e, 212e, 265, 318, 583c<br>
Badness: 0.115066<br><br>
'''13-limit'''<br>
Comma list: 540/539, 729/728, 4096/4095, 13750/13689<br>
Mapping: [{{val|53 84 123 149 183 196}}, {{val|0 0 0 -1 2 1}}]<br>
POTE generator: ~8/7 = 230.4000<br>
Vals: 53, 159ef, 212ef, 265, 318, 583cf<br>
Badness: 0.061158<br><br>
; Hectaheptacontahenatonic (171 &amp; 17442)
'''7-limit'''<br>
Comma list: {{monzo|2 -9 21 -13}}, {{monzo|10 -54 12 17}}<br>
Mapping: [{{val|171 271 397 480}}, {{val|0 3 5 6}}]<br>
POTE generator: ~7/5 = 582.5244<br>
Vals: 171, 16416, 16587, 16758, 16929, 17100, 17271, 17442, 17613, 52668, 70281, 87894c, 158175bcd<br>
Badness: 0.286322<br><br>


'''<font style="font-size: 1.15em">15 March 2019</font>'''
===<font style="font-size: 1.15em">Proposed in 2021</font>===
; [[Mitonismic temperaments #Meridic|Meridic]] (258 &amp; 301)
'''<font style="font-size: 1.15em">March 2021</font>'''
<font style="font-size: 0.85em">(Name revised from ''Tetracontatroid'' on 1 May 2021)</font><br>
* [[Trident]] (→ Alphatrident)
'''5-limit'''<br>
* [[Trillium]] (→ Alphatrillium)
Comma: {{monzo|168 -43 -43}}<br>
* [[Pseudotrillium]]
Mapping: [{{val|43 68 100}}, {{val|0 1 -1}}]<br>
* [[Tritricot]]
POTE generator: ~{{monzo|-68 18 17}} = 4.3194<br>
* [[Decic]]
Vals: 43, 172, 215, 258, 559, 1935, 2494, 3053, 3612<br>
* [[Cloudtone]]
Badness: 1.061246<br><br>
'''<font style="font-size: 1.15em">April 2021</font>'''
'''7-limit'''<br>
* [[Hemipental]]
Comma list: 5250987/5242880, 2202927104/2197265625<br>
* [[Sengasec]]
Mapping: [{{val|43 68 100 121}}, {{val|0 1 -1 -2}}]<br>
* [[Qinto]]
POTE generator: ~703125/702464 = 4.1632<br>
* [[Monzism]]
Vals: 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd<br>
* [[Houborizic]]
Badness: 0.230038<br><br>
* [[Houbor]]
'''11-limit'''<br>
* [[Gamity]]
Comma list: 41503/41472, 172032/171875, 1240029/1239040<br>
* [[Familia]]
Mapping: [{{val|43 68 100 121 148}}, {{val|0 1 -1 -2 5}}]<br>
* [[Sabric]]
POTE generator: ~540/539 = 4.1828<br>
* [[Quadrawell]]
Vals: 258, 301, 559, 860<br>
* [[Sfour]]
Badness: 0.111149<br><br>
* [[Rainwell]]
'''13-limit'''<br>
* [[Sengage]]
Comma list: 2200/2197, 4096/4095, 21168/21125, 39366/39325<br>
* [[Marfifths]]
Mapping: [{{val|43 68 100 121 148 159}}, {{val|0 1 -1 -2 5 1}}]<br>
* [[Diatessic]]
POTE generator: ~540/539 = 4.1765<br>
* [[Marf]]
Vals: 258, 301, 559, 860f<br>
'''<font style="font-size: 1.15em">May 2021</font>'''
Badness: 0.071435<br><br>
* [[Garistearn]]
'''17-limit'''<br>
* [[Decistearn]]
Comma list: 833/832, 1701/1700, 2200/2197, 4096/4095, 11016/11011<br>
* [[Quadrant]]
Mapping: [{{val|43 68 100 121 148 159 175}}, {{val|0 1 -1 -2 5 1 5}}]<br>
* [[Quintilipyth]]
POTE generator: ~540/539 = 4.1974<br>
* [[Helenoid]]
Vals: 258, 301, 559, 860f<br>
* [[Ponta]]
Badness: 0.047292<br><br>
* [[Pontic]]
; Tetracontaheptatonic (94 &amp; 705)
* [[Bipont]]
'''7-limit'''<br>
* [[Counterbipont]]
Comma list: 242137805625/240518168576, 247669456896/247165842875<br>
* [[Quadrapont]]
Mapping: [{{val|47 75 107 133}}, {{val|0 -1 4 -2}}]<br>
* [[Decimetra]]
POTE generator: ~3/2 = 701.394<br>
* [[Stockhausenic]]
Vals: 94, 611, 705, 799<br>
* [[Decavish]]
Badness: 1.619046<br><br>
* Bronzoid (109 &amp; 142)
'''11-limit'''<br>
* [[Ennealimmia]]
Comma list: 24057/24010, 1366875/1362944, 16808715/16777216<br>
* [[Paralytic]]
Mapping: [{{val|47 75 107 133 161}}, {{val|0 -1 4 -2 3}}]<br>
* [[Cotoneum]]
POTE generator: ~3/2 = 701.406<br>
* [[Fog]]
Vals: 94, 611, 705, 799, 893, 1692bc, 2491bbc<br>
* [[Countermiracle]]
Badness: 0.280814<br><br>
* [[Paraklein]]
'''13-limit'''<br>
* [[Countermiraculous]]
Comma list: 1575/1573, 24057/24010, 41472/41405, 916839/913952<br>
* [[Counterbenediction]]
Mapping: [{{val|47 75 107 133 161 175}}, {{val|0 -1 4 -2 3 -2}}]<br>
* [[Counterrevelation]]
POTE generator: ~3/2 = 701.368<br>
* [[Septant]]
Vals: 94, 611, 705, 799<br>
* [[Terminal]]
Badness: 0.144341<br><br>
* [[Semiterm]]
* [[Sedia]]
* [[Marthirds]]
* [[Counterkleismic]]
* [[Counterlytic]]
* [[Geb]]
* [[Hemidimfi]]
* [[Maquiloid]]
* [[Paramity]]
'''<font style="font-size: 1.15em">June 2021</font>'''
* [[Schisennealimmal]]
* [[Schisennealimmic]]
* [[Decades]]
* [[Undecentic]]
* [[Pentadecal]]
* [[Quinkee]]
* [[Coditonic]]
* [[Terture]]
* [[Semivulture]]
* [[Eagle]]
* [[Quindromeda]]
* [[Quintakwai]]
* [[Quintagar]]
* [[Quintoneum]]
* [[Quinsandra]]
* [[Quinsandric]]
* [[Quinsandro]]
* [[Semiquindromeda]]
* [[Quintoneoid]]
'''<font style="font-size: 1.15em">July 2021</font>'''
* [[Mineral]]
* [[Ore]]
* [[Quintaleap]]
* [[Quintupole]]
* [[Quinticosiennic]]
* [[Quintapole]]
* [[Hemiseptisix]]
'''<font style="font-size: 1.15em">August 2021</font>'''
* [[Goldmine]]
* [[Gamelacomp|Gamelapyth]] (→ Gamelacomp)
* [[Mermacomp|Mermapyth]] (→ Mermacomp)
* [[Undesemi]]
* [[Decipentic]]
* [[Quasijerome]]
* [[Septendesemi]]
* [[Witcher]] (99 &amp; 166, formerly ''witch'', revised in August 2023)
* [[Semiwitcher]] (166 &amp; 198, formerly ''semiwitch'', revised in August 2023)
* [[Hitch]]
* [[Hitcher]]
* [[Quinwell]]
* [[Septiquarschis]]
* [[Quinbetter]]
* [[Ultramarine]]
* [[Mowglic]]
'''<font style="font-size: 1.15em">Septemper 2021</font>'''
* [[Terminator]]
* [[Quintaschis]]
* [[Quintahelenic]]
* [[Quintahelenoid]]
* [[Semihemiwür]]
* [[Semihemiwürat]]
* [[Beetle]]
* [[Subsedia]]
* [[Quinkwai]]
* [[Quintakwoid]]
* [[Passionate]]
* [[Pash]]
* [[Majvamic]]
* [[Majvamoid]]
* [[Narayana]]
* [[Turkey]]
'''<font style="font-size: 1.15em">October 2021</font>'''
* [[Lunennealimmal]]
* [[Hexadecoid]]
* [[Undetrita]]
* [[Rubidium]]
* [[Terbium]]
* [[Parakleischis]]
* [[Triacontaheptoid]]
* [[Octogintic]]
* [[Senator]]
* [[Hemivalentine]]
* [[Hemivalentino]]
* [[Hemivalentoid]]
* [[Undetritoid]]
* [[Biquartonic]]
* [[Quindro]]
'''<font style="font-size: 1.15em">November 2021</font>'''
* [[Tridecatonic]]
* [[Trideci]]
* [[Decimaleap]]
* [[Hemiquindromeda]]
* [[Triboh]]
'''<font style="font-size: 1.15em">December 2021</font>'''
* [[Hemimabila]]
* [[Sedecic]]
* [[Hyperkleismic]]


'''<font style="font-size: 1.15em">24 March 2019</font>'''
===<font style="font-size: 1.15em">Proposed in 2022</font>===
; [[Ragismic microtemperaments #Palladium|Palladium]] (46 &amp; 414)
'''<font style="font-size: 1.15em">January 2022</font>'''
<font style="font-size: 0.85em">(Name revised from ''Tetracontahexoid'' on 29 April 2021)</font><br>
* [[Cobalt]]
'''7-limit'''<br>
* [[Cobaltous]]
Comma list: 4375/4374, {{monzo|-51 8 2 12}}<br>
* [[Cobaltic]]
Mapping: [{{val|46 73 107 129}}, {{val|0 -1 -2 1}}]<br>
* [[Cobaltite]]
POTE generator: ~3/2 = 701.6074<br>
* [[Pontoid]]
Vals: 46, 368, 414, 460, 874d<br>
* [[Grackle]] (11, 13, 17 and 19-limit extension)
Badness: 0.308505<br><br>
* [[Grackloid]]
'''11-limit'''<br>
* [[Grack]]
Comma list: 3025/3024, 9801/9800, 134775333/134217728<br>
* [[Catahelenic]]
Mapping: [{{val|46 73 107 129 159}}, {{val|0 -1 -2 1 1}}]<br>
* [[Countriton]]
POTE generator: ~3/2 = 701.5951<br>
* [[Aufic]]
Vals: 46, 368, 414, 460, 874de<br>
* [[Pajarina]]
Badness: 0.073783<br><br>
* [[Muggloid]]
'''13-limit'''<br>
* [[Gracecord]]
Comma list: 3025/3024, 4225/4224, 4375/4374, 26411/26364<br>
* [[Gaster]]
Mapping: [{{val|46 73 107 129 159 170}}, {{val|0 -1 -2 1 1 2}}]<br>
* [[Tuskaloosa]]
POTE generator: ~3/2 = 701.6419<br>
* [[Muscogee]]
Vals: 46, 368, 414, 460, 874de, 1334de<br>
* [[Cohemimabila]]
Badness: 0.040751<br><br>
* [[Trimabila]]
'''17-limit'''<br>
* [[Immune]]
Comma list: 833/832, 1089/1088, 1225/1224, 1701/1700, 4225/4224<br>
* [[Meantritone]]
Mapping: [{{val|46 73 107 129 159 170 188}}, {{val|0 -1 -2 1 1 2 0}}]<br>
* [[Aurora]]
POTE generator: ~3/2 = 701.6425<br>
* [[Leapweeker]]
Vals: 46, 368, 414, 460, 874de, 1334deg<br>
* [[Interaufo]]
Badness: 0.022441<br><br>
* [[Helena]]
'''<font style="font-size: 1.15em">February 2022</font>'''
* [[Cohendecatonic]]
* [[Nessa]]
* [[Splendecic]]
* [[Prodecic]]
* [[Semimeantone]]
* [[Keenic]]
* [[Warrior]]
* [[Trisensory]]
* [[Bisensi]]
* [[Browser]]
* [[Grazer]]
* [[Quadrasruta]]
* [[Quadrafourths]]
* [[Pajarita]]
'''<font style="font-size: 1.15em">March 2022</font>'''
* [[Catamite]]
* [[Hemikwai]]
* [[Yarm]]
* [[Cohedim]]
* [[October]]
* [[Dichotomic]]
* [[Seminar]]
* [[Chromat]] (11, 13 and 17-limit extension)
* [[Catachrome]]
* [[Chromic]]
* [[Trinity]]
* [[Poseidon]]
* [[Salacia]]
* [[Gammy]]
* [[Tertiaseptia]]
* [[Semitert]]
'''<font style="font-size: 1.15em">April 2022</font>'''
* [[Meantonic]]
* [[Meantoid]]
* [[Huygens]]
* [[Meridetonic]]
* [[Meridetoid]]
* [[Sauveuric]]
* [[Meanpoid]]
* [[Meanplop]] (17 and 19-limit extension)
* [[Meanploid]]
* [[Meanenneadecoid]]
* [[Vincenzoid]]
* [[Andromeda]] (17 and 19-limit extension)
* [[Schisicosiennic]]
* [[Schisicosiennoid]]
* [[Cassandra]] (Cassie)
* [[Cassandric]]
* [[Cassander]]
'''<font style="font-size: 1.15em">May 2022</font>'''
* [[Supersensi]]
* [[Quadrafives]]
'''<font style="font-size: 1.15em">June 2022</font>'''
* [[Trimean]]


===<font style="font-size: 1.15em">Proposed in April 2019</font>===
===<font style="font-size: 1.15em">Proposed in 2023</font>===
'''<font style="font-size: 1.15em">21 April 2019</font>'''
'''<font style="font-size: 1.15em">June 2023</font>'''
; [[Wizmic microtemperaments #Tertiathirds|Tertiathirds]] (121 &amp; 270)
* [[Galileic]]
'''7-limit'''<br>
* [[Catagali]]
Comma list: 420175/419904, 29360128/29296875<br>
* [[Quintain]]
Mapping: [{{val|1 -4 2 -6}}, {{val|0 52 3 82}}]<br>
'''<font style="font-size: 1.15em">July 2023</font>'''
POTE generator: ~3375/3136 = 128.888<br>
* [[Devisemi]]
Vals: 121, 149, 270, 2309c, 2579c, 2849c, 3119bc, 3389bc, 3659bcc, 3929bcc, 4199bcc<br>
* [[Garibaldia]] (2.3.5.7.17.19 extension of [[garibaldi]])
Badness: 0.093005<br><br>
* [[Pontia]] (2.3.5.7.19 extension of [[pontiac]])
'''11-limit'''<br>
'''<font style="font-size: 1.15em">August 2023</font>'''
Comma list: 3025/3024, 5632/5625, 117649/117612<br>
* [[Heartland]] (2.3.7.11.19 14&amp;41&amp; 48)
Mapping: [{{val|1 -4 2 -6 -9}}, {{val|0 52 3 82 116}}]<br>
* [[Hearts]] (2.3.7.11.19 41&amp;48)
POTE generator: ~264/245 = 128.890<br>
* [[Heartia]]
Vals: 121, 149, 270, 2551bc, 2821bc, 3091bc, 3361bc, 3631bbcc, 3901bbccd, 4171bbccd, 4441bbccd, 4711bbccd<br>
* [[Heartful]] (2.3.7.11.19 41&amp;75e)
Badness: 0.033322<br><br>
* [[Doublehearted]] (2.3.7.11.19 14&amp;41)
'''13-limit'''<br>
* [[Byhearted]]
Comma list: 676/675, 1716/1715, 3025/3024, 4225/4224<br>
'''<font style="font-size: 1.15em">September 2023</font>'''
Mapping: [{{val|1 -4 2 -6 -9 -5}}, {{val|0 52 3 82 116 81}}]<br>
* [[Heartlandia]] (14cf &amp; 41 &amp; 89)
POTE generator: ~14/13 = 128.890<br>
* [[Darkstone]]
Vals: 121, 149, 270, 1741bc, 2011bcf, 2281bcf, 2551bcf, 2821bcf, 3091bcff, 3361bcff<br>
* [[Brightstone]]
Badness: 0.019494<br><br>
'''<font style="font-size: 1.15em">October 2023</font>'''
'''17-limit'''<br>
* [[Magical]]
Comma list: 676/675, 715/714, 1716/1715, 2025/2023, 4225/4224<br>
* [[Magica]]
Mapping: [{{val|1 -4 2 -6 -9 -5 -3}}, {{val|0 52 3 82 116 81 66}}]<br>
* [[Magia]]
POTE generator: ~14/13 = 128.891<br>
* [[Sesquartia]]
Vals: 121, 149, 270<br>
* [[Charismic]]
Badness: 0.019107<br><br>
* [[Quinmage]]
* [[Hearty]]
* [[Nonant]]
* [[Hemiandromeda]] (29 &amp; 82)
* [[Hemidromeda]] (29 &amp; 111)
'''<font style="font-size: 1.15em">November 2023</font>'''
* [[Trismegiboh]]
* [[Baldanders]] (2.9.5.7.11 6&amp;35)
* [[Neomirkwai]] (2.3.5.7.11.19 31&amp;41&amp;80)
* [[Dhaivatic]]
* [[Triquart]] (27 &amp; 159)
* [[Tertiseptisix]] (27 &amp; 212)
* [[Quartiquart]] (80 &amp; 212)
* [[Quintiquart]] (80 &amp; 265)
* [[Neovulture]] (2.3.5.7.11.13.19 53&amp;58&amp;217)
* [[Neovish]] (2.3.5.7.11.19 50&amp;118&amp;152)
* [[Neobreed]] (41 &amp; 130 &amp; 270)
* [[Neonewt]] (2.3.5.7.11.13.19 41&amp;270)
'''<font style="font-size: 1.15em">December 2023</font>'''
* [[Heartlander]] (14cf &amp; 41 &amp; 130)
* [[Neosatanic]] (665 &amp; 3325)
* [[Monzosatanic]] (665 &amp; 7980)
* [[Dog]] (2.3.19 7&amp;9)
* [[Armodog]] (2.3.5.7.11.13.19 7&amp;9)


'''<font style="font-size: 1.15em">22 April 2019</font>'''
===<font style="font-size: 1.15em">Proposed in 2024</font>===
; [[Schismatic family #Tertiaschis|Tertiaschis]] (94 &amp; 159)
'''<font style="font-size: 1.15em">January 2024</font>'''
'''7-limit'''<br>
* [[Quinbaldi]] (65d &amp; 135)
Comma list: 32805/32768, 1071875/1062882<br>
* [[Quintant]] (65d &amp; 200)
Mapping: [{{val|1 2 -1 10}}, {{val|0 -3 24 -52}}]<br>
* [[Hemiquintant]] (130 &amp; 135)
POTE generator: ~192/175 = 166.019<br>
Vals: 65, 94, 159, 253, 412cd<br>
Badness: 0.211859<br><br>
'''11-limit'''<br>
Comma list: 385/384, 4000/3993, 19712/19683<br>
Mapping: [{{val|1 2 -1 10 0}}, {{val|0 -3 24 -52 25}}]<br>
POTE generator: ~11/10 = 166.017<br>
Vals: 65, 94, 159, 253, 412cd<br>
Badness: 0.061336<br><br>
'''13-limit'''<br>
Comma list: 325/324, 385/384, 1575/1573, 10985/10976<br>
Mapping: [{{val|1 2 -1 10 0 12}}, {{val|0 -3 24 -52 25 -60}}]<br>
POTE generator: ~11/10 = 166.016<br>
Vals: 65f, 94, 159, 253, 412cdf, 665ccdef<br>
Badness: 0.036700<br><br>
'''17-limit'''<br>
Comma list: 325/324, 375/374, 385/384, 595/594, 10985/10976<br>
Mapping: [{{val|1 2 -1 10 0 12 -2}}, {{val|0 -3 24 -52 25 -60 44}}]<br>
POTE generator: ~11/10 = 166.012<br>
Vals: 65f, 94, 159, 253<br>
Badness: 0.026504<br><br>


===<font style="font-size: 1.15em">Proposed in March 2021</font>===
'''<font style="font-size: 1.15em">May 2024</font>'''
'''<font style="font-size: 1.15em">13 March 2021</font>'''
* [[Raccoon]] (11 &amp; 32)
; [[Tricot family #Trident|Trident]] (53 &amp; 229)
'''7-limit'''<br>
Comma list: 6144/6125, 14348907/14336000<br>
Mapping: [{{val|1 0 -13 25}}, {{val|0 3 29 -42}}]<br>
POTE generator: ~4096/2835 = 634.048<br>
Vals: 53, 176, 229, 282, 511<br>
Badness: 0.101694<br><br>
'''11-limit'''<br>
Comma list: 3388/3375, 6144/6125, 8019/8000<br>
Mapping: [{{val|1 0 -13 25 -33}}, {{val|0 3 29 -42 69}}]<br>
POTE generator: ~231/160 = 634.067<br>
Vals: 53, 176, 229<br>
Badness: 0.074272<br><br>
'''13-limit'''<br>
Comma list: 351/350, 2080/2079, 2197/2187, 3146/3125<br>
Mapping: [{{val|1 0 -13 25 -33 0}}, {{val|0 3 29 -42 69 7}}]<br>
POTE generator: ~13/9 = 634.065<br>
Vals: 53, 176, 229<br>
Badness: 0.046593<br><br>
; [[Tricot family #Trillium|Trillium]] (53 &amp; 441)
'''7-limit'''<br>
Comma list: 4375/4374, 1099511627776/1098337086315<br>
Mapping: [{{val|1 0 -13 53}}, {{val|0 3 29 -95}}]<br>
POTE generator: ~23625/16384 = 634.012<br>
Vals: 53, 441, 494, 935, 1376, 3193, 4569<br>
Badness: 0.030852<br><br>
'''11-limit'''<br>
Comma list: 4375/4374, 131072/130977, 759375/758912<br>
Mapping: [{{val|1 0 -13 53 -89}}, {{val|0 3 29 -95 175}}]<br>
POTE generator: ~3888/2695 = 634.009<br>
Vals: 53, 441, 494, 935, 1429<br>
Badness: 0.046758<br><br>
'''13-limit'''<br>
Comma list: 2080/2079, 4096/4095, 4375/4374, 78125/78078<br>
Mapping: [{{val|1 0 -13 53 -89 -28}}, {{val|0 3 29 -95 175 60}}]<br>
POTE generator: ~75/52 = 634.010<br>
Vals: 53, 441, 494, 935, 1429<br>
Badness: 0.019393<br><br>
; [[Tricot family #Trillium|Pseudotrillium]] (53 &amp; 388)
'''11-limit'''<br>
Comma list: 4375/4374, 5632/5625, 4108797/4096000<br>
Mapping: [{{val|1 0 -13 53 -61}}, {{val|0 3 29 -95 122}}]<br>
POTE generator: ~231/160 = 634.019<br>
Vals: 53, 335, 388<br>
Badness: 0.111931<br><br>
'''13-limit'''<br>
Comma list: 847/845, 1001/1000, 4096/4095, 4375/4374<br>
Mapping: [{{val|1 0 -13 53 -61 -28}}, {{val|0 3 29 -95 122 60}}]<br>
POTE generator: ~75/52 = 634.018<br>
Vals: 53, 335, 388<br>
Badness: 0.054837<br><br>
; [[Tricot family #Tritricot|Tritricot]] (159 &amp; 282)
'''7-limit'''<br>
Comma list: 250047/250000, 11785390260224/11767896353375<br>
Mapping: [{{val|3 6 19 30}}, {{val|0 -3 -29 -52}}]<br>
POTE generator: ~100352/91125 = 165.984<br>
Vals: 159, 282, 441, 2487, 2928, 3369<br>
Badness: 0.086081<br><br>
'''11-limit'''<br>
Comma list: 4000/3993, 166698/166375, 200704/200475<br>
Mapping: [{{val|3 6 19 30 22}}, {{val|0 -3 -29 -52 -28}}]<br>
POTE generator: ~11/10 = 165.984<br>
Vals: 159, 282, 441<br>
Badness: 0.074002<br><br>
'''13-limit'''<br>
Comma list: 1575/1573, 2080/2079, 34398/34375, 43904/43875<br>
Mapping: [{{val|3 6 19 30 22 36}}, {{val|0 -3 -29 -52 -28 -60}}]<br>
POTE generator: ~11/10 = 165.984<br>
Vals: 159, 282, 441<br>
Badness: 0.035641<br><br>
'''17-limit'''<br>
Comma list: 936/935, 1575/1573, 1701/1700, 2025/2023, 8624/8619<br>
Mapping: [{{val|3 6 19 30 22 36 16}}, {{val|0 -3 -29 -52 -28 -60 -9}}]<br>
POTE generator: ~11/10 = 165.980<br>
Vals: 159, 282, 441<br>
Badness: 0.025972<br><br>


'''<font style="font-size: 1.15em">21 March 2021</font>'''
'''<font style="font-size: 1.15em">June 2024</font>'''
; [[Cloudy clan #Decic|Decic]] (10 &amp; 50)
* [[Piracy]] (84 &amp; 155)
'''7-limit'''<br>
* [[Pirateship]] (84 &amp; 239)
Comma list: 225/224, 16807/16384<br>
* [[Unisquary]] (11-limit 72&amp;118&amp;121&amp;130)
Mapping: [{{val|10 0 39 28}}, {{val|0 1 -1 0}}]<br>
* [[Hensquary]] (13-limit 46&amp;72&amp;121&amp;130)
POTE generator: ~3/2 = 698.696<br>
* [[Ekasquary]] (13-limit 72&amp;121&amp;130&amp;190)
Vals: 10, 50, 60, 110d, 170cdd<br>
Badness: 0.089135<br><br>
'''11-limit'''<br>
Comma list: 225/224, 385/384, 3087/3025<br>
Mapping: [{{val|10 0 39 28 3}}, {{val|0 1 -1 0 2}}]<br>
POTE generator: ~3/2 = 696.791<br>
Vals: 10, 50<br>
Badness: 0.063900<br><br>
'''13-limit'''<br>
Comma list: 105/104, 144/143, 196/195, 2200/2197<br>
Mapping: [{{val|10 0 39 28 3 37}}, {{val|0 1 -1 0 2 0}}]<br>
POTE generator: ~3/2 = 696.993<br>
Vals: 10, 50<br>
Badness: 0.036880<br><br>
'''17-limit'''<br>
Comma list: 105/104, 144/143, 170/169, 196/195, 221/220<br>
Mapping: [{{val|10 0 39 28 3 37 25}}, {{val|0 1 -1 0 2 0 1}}]<br>
POTE generator: ~3/2 = 697.085<br>
Vals: 10, 50<br>
Badness: 0.025064<br><br>


'''<font style="font-size: 1.15em">22 March 2021</font>'''
===<font style="font-size: 1.15em">Proposed in 2025</font>===
; [[Meantone family #Cloudtone|Cloudtone]] (5 &amp; 50)
'''<font style="font-size: 1.15em">January 2025</font>'''
'''7-limit'''<br>
* [[Pentadecoid]] (2.3.7.11 120&amp;135)
Comma list: 81/80, 16807/16384<br>
* [[Slendscape]] (255 &amp; 270)
Mapping: [{{val|5 0 -20 14}}, {{val|0 1 4 0}}]<br>
* [[Triacontoid]] (120 &amp; 150)
POTE generator: ~3/2 = 695.720<br>
Vals: 5, 45, 50<br>
Badness: 0.102256<br><br>
'''11-limit'''<br>
Comma list: 81/80, 385/384, 2401/2376<br>
Mapping: [{{val|5 0 -20 14 41}}, {{val|0 1 4 0 -3}}]<br>
POTE generator: ~3/2 = 696.536<br>
Vals: 5, 45, 50, 155bdd, 205bddd<br>
Badness: 0.070378<br><br>
'''13-limit'''<br>
Comma list: 81/80, 105/104, 144/143, 2401/2376<br>
Mapping: [{{val|5 0 -20 14 41 -21}}, {{val|0 1 4 0 -3 5}}]<br>
POTE generator: ~3/2 = 696.162<br>
Vals: 5, 45f, 50<br>
Badness: 0.048829<br><br>


===<font style="font-size: 1.15em">Proposed in April 2021</font>===
'''<font style="font-size: 1.15em">February 2025</font>'''
'''<font style="font-size: 1.15em">3 April 2021</font>'''
* [[Devichrome]] (2.3.5.7.19 27&amp;31&amp;41&amp;53)
; [[Pental family #Pental|Pentacloud]] (5 &amp; 60)
'''7-limit'''<br>
Comma list: 245/243, 16807/16384<br>
Mapping: [{{val|5 0 -28 14}}, {{val|0 1 5 0}}]<br>
POTE generator: ~3/2 = 700.548<br>
Vals: 5, 60, 65, 125d, 185cdd<br>
Badness: 0.120942<br><br>
'''11-limit'''<br>
Comma list: 245/243, 385/384, 3087/3025<br>
Mapping: [{{val|5 0 -28 14 49}}, {{val|0 1 5 0 -4}}]<br>
POTE generator: ~3/2 = 701.377<br>
Vals: 5, 60, 65<br>
Badness: 0.093248<br><br>
'''13-limit'''<br>
Comma list: 105/104, 144/143, 245/243, 3087/3025<br>
Mapping: [{{val|5 0 -28 14 49 -29}}, {{val|0 1 5 0 -4 6}}]<br>
POTE generator: ~3/2 = 700.996<br>
Vals: 5, 60, 65, 125de, 190ddef<br>
Badness: 0.067549<br><br>
; [[Pental family #Hemipental|Hemipental]] (125 &amp; 130)
'''7-limit'''<br>
Comma list: 19683/19600, 589824/588245<br>
Mapping: [{{val|5 8 12 14}}, {{val|0 -2 -10 1}}]<br>
POTE generator: ~8/7 = 230.654<br>
Vals: 5, 125, 130, 255, 385<br>
Badness: 0.104163<br><br>
'''11-limit'''<br>
Comma list: 540/539, 8019/8000, 180224/180075<br>
Mapping: [{{val|5 8 12 14 18}}, {{val|0 -2 -10 1 -18}}]<br>
POTE generator: ~8/7 = 230.634<br>
Vals: 5e, 125, 130, 255, 385, 640, 1025b<br>
Badness: 0.047624<br><br>
'''13-limit'''<br>
Comma list: 540/539, 1575/1573, 4096/4095, 8019/8000<br>
Mapping: [{{val|5 8 12 14 18 18}}, {{val|0 -2 -10 1 -18 13}}]<br>
POTE generator: ~8/7 = 230.668<br>
Vals: 5ef, 125, 130, 255, 385, 515, 900ef<br>
Badness: 0.041043<br><br>
; [[Qintosec family #Sengasec|Sengasec]] (10 &amp; 55)
'''7-limit'''<br>
Comma list: 686/675, 16807/16384<br>
Mapping: [{{val|5 7 13 14}}, {{val|0 2 -3 0}}]<br>
POTE generator: ~16/15 = 111.113<br>
Vals: 10, 55, 65, 140dd, 205ddd, 270ddd<br>
Badness: 0.156259<br><br>
'''11-limit'''<br>
Comma list: 243/242, 385/384, 686/675<br>
Mapping: [{{val|5 7 13 14 15}}, {{val|0 2 -3 0 5}}]<br>
POTE generator: ~16/15 = 110.659<br>
Vals: 10, 55, 65<br>
Badness: 0.081607<br><br>
'''13-limit'''<br>
Comma list: 105/104, 144/143, 243/242, 686/675<br>
Mapping: [{{val|5 7 13 14 15 19}}, {{val|0 2 -3 0 5 -1}}]<br>
POTE generator: ~16/15 = 110.910<br>
Vals: 10, 55, 65<br>
Badness: 0.056390<br><br>


'''<font style="font-size: 1.15em">4 April 2021</font>'''
'''<font style="font-size: 1.15em">March 2025</font>'''
; [[Qintosec family #Qintosec|Qinto]] (10 &amp; 75)
* [[Octasand]] (11 and 13-limit 27e&amp;41&amp;53)
'''11-limit'''<br>
* [[Devimarv]] (2.3.5.7.19 31&amp;41&amp;53)
Comma list: 225/224, 385/384, 332750/321489<br>
** [[Neomarv]] (2.3.5.7.11.19 31&amp;41&amp;53)
Mapping: [{{val|5 7 13 15 14}}, {{val|0 2 -3 -2 7}}]<br>
* [[Deva]] (2.3.5.7.19 27&amp;41&amp;53)
POTE generator: ~15/14 = 112.448<br>
** [[Neonakika]] (2.3.5.7.11.19 15&amp;27e&amp;41)
Vals: 10, 75, 160cde<br>
** [[Neoctasand]] (2.3.5.7.11.19 27e&amp;41&amp;53)
Badness: 0.127732<br><br>
* [[Nutrient]] (2.3.5.7.19 27&amp;31&amp;41)
** [[Neojovia]] (2.3.5.7.11.19 27e&amp;31&amp;41)
* [[Passkey]] (2.3.5.7.19 41&amp;53&amp;99)
** [[Neolakia]] (2.3.5.7.11.19 41&amp;53&amp;99)


'''<font style="font-size: 1.15em">10 April 2021</font>'''
'''<font style="font-size: 1.15em">April 2025</font>'''
; [[Ragismic microtemperaments #Monzism|Monzism]] (53 &amp; 559)
* [[Magikarp]] (2.3.43 5&amp;7)
'''7-limit'''<br>
* [[Hendeca]] (11&amp;22)
Comma list: 4375/4374, {{monzo|-55 30 2 1}}<br>
* [[Char]] (2.3.5.7.17 19&amp;31&amp;41)
Mapping: [{{val|1 2 10 -25}}, {{val|0 -2 -37 134}}]<br>
* [[Elven]] (121&amp;253)
POTE generator: ~310078125/268435456 = 249.0207<br>
Vals: 53, 559, 612, 1277, 1889<br>
Badness: 0.046569<br><br>
'''11-limit'''<br>
Comma list: 4375/4374, 41503/41472, 184549376/184528125<br>
Mapping: [{{val|1 2 10 -25 46}}, {{val|0 -2 -37 134 -205}}]<br>
POTE generator: ~231/200 = 249.0193<br>
Vals: 53, 559, 612<br>
Badness: 0.057083<br><br>
'''13-limit'''<br>
Comma list: 2200/2197, 4096/4095, 4375/4374, 40656/40625<br>
Mapping: [{{val|1 2 10 -25 46 23}}, {{val|0 -2 -37 134 -205 -93}}]<br>
POTE generator: ~231/200 = 249.0199<br>
Vals: 53, 559, 612<br>
Badness: 0.053780<br><br>


'''<font style="font-size: 1.15em">18 April 2021</font>'''
'''<font style="font-size: 1.15em">June 2025</font>'''
; [[Amity family #Houborizic|Houborizic]] (53 &amp; 113)
* [[Reversed marvel]] (2.3.5.113 22&amp;31&amp;34)
'''7-limit'''<br>
Comma list: 225/224, 1250000/1240029<br>
Mapping: [{{val|1 3 6 13}}, {{val|0 -5 -13 -36}}]<br>
POTE generator: ~243/200 = 339.763<br>
Vals: 7d, 46d, 53, 113, 166<br>
Badness: 0.066638<br><br>
'''11-limit'''<br>
Comma list: 225/224, 385/384, 1250000/1240029<br>
Mapping: [{{val|1 3 6 13 -9}}, {{val|0 -5 -13 -36 44}}]<br>
POTE generator: ~243/200 = 339.763<br>
Vals: 53, 113, 166<br>
Badness: 0.067891<br><br>
'''13-limit'''<br>
Comma list: 225/224, 325/324, 385/384, 2200/2197<br>
Mapping: [{{val|1 3 6 13 -9 2}}, {{val|0 -5 -13 -36 44 6}}]<br>
POTE generator: ~39/32 = 339.764<br>
Vals: 53, 113, 166<br>
Badness: 0.032996<br><br>
; [[Amity family #Houborizic|Houbor]] (7d &amp; 53)
'''11-limit'''<br>
Comma list: 121/120, 225/224, 2200/2187<br>
Mapping: [{{val|1 3 6 13 6}}, {{val|0 -5 -13 -36 -9}}]<br>
POTE generator: ~11/9 = 339.814<br>
Vals: 7d, 46d, 53, 60e, 113e<br>
Badness: 0.045232<br><br>
'''13-limit'''<br>
Comma list: 121/120, 225/224, 275/273, 325/324<br>
Mapping: [{{val|1 3 6 13 6 2}}, {{val|0 -5 -13 -36 -9 6}}]<br>
POTE generator: ~11/9 = 339.784<br>
Vals: 7d, 46d, 53, 60e, 113e<br>
Badness: 0.031331<br><br>
; [[Amity family #Gamity|Gamity]] (46 &amp; 113)
'''7-limit'''<br>
Comma list: 1029/1024, 1071875/1062882<br>
Mapping: [{{val|1 -2 -7 4}}, {{val|0 15 39 -5}}]<br>
POTE generator: ~189/160 = 286.787<br>
Vals: 46, 113, 159<br>
Badness: 0.125733<br><br>
'''11-limit'''<br>
Comma list: 385/384, 441/440, 1071875/1062882<br>
Mapping: [{{val|1 -2 -7 4 8}}, {{val|0 15 39 -5 -19}}]<br>
POTE generator: ~33/28 = 286.797<br>
Vals: 46, 113, 159<br>
Badness: 0.051111<br><br>
'''13-limit'''<br>
Comma list: 325/324, 364/363, 385/384, 10985/10976<br>
Mapping: [{{val|1 -2 -7 4 8 8}}, {{val|0 15 39 -5 -19 -18}}]<br>
POTE generator: ~13/11 = 286.789<br>
Vals: 46, 113, 159<br>
Badness: 0.030297<br><br>
'''17-limit'''<br>
Comma list: 273/272, 325/324, 364/363, 385/384, 3773/3757<br>
Mapping: [{{val|1 -2 -7 4 8 8 6}}, {{val|0 15 39 -5 -19 -18 -8}}]<br>
POTE generator: ~13/11 = 286.795<br>
Vals: 46, 113, 159<br>
Badness: 0.022036<br><br>


'''<font style="font-size: 1.15em">19 April 2021</font>'''
== Commas which this user proposed names ==
; [[Amity family #Familia|Familia]] (113 &amp; 152)
This user proposed new names for following commas.
'''7-limit'''<br>
Comma list: 16875/16807, 1600000/1594323<br>
Mapping: [{{val|1 8 19 20}}, {{val|0 -25 -65 -67}}]<br>
POTE generator: ~11907/10000 = 307.941<br>
Vals: 113, 152, 265, 417, 986d<br>
Badness: 0.144551<br><br>
'''11-limit'''<br>
Comma list: 540/539, 1375/1372, 1600000/1594323<br>
Mapping: [{{val|1 8 19 20 5}}, {{val|0 -25 -65 -67 -6}}]<br>
POTE generator: ~3200/2673 = 307.906<br>
Vals: 113, 152, 417, 569de, 721de<br>
Badness: 0.051740<br><br>


'''<font style="font-size: 1.15em">25 April 2021</font>'''
===<font style="font-size: 1.15em">Proposed in 2021</font>===
; [[Semicomma family #Sabric|Sabric]] (53 &amp; 190)
'''<font style="font-size: 1.15em">April 2021</font>'''
'''7-limit'''<br>
* [[Hewuermera temperaments|hewuermera]]: 589824/588245, satribiru-agu
Comma list: 4375/4374, 2109375/2097152<br>
* [[Triwellismic temperaments|triwellisma]]: 235298/234375, tribizo-asepgu
Mapping: [{{val|1 0 3 -11}}, {{val|0 7 -3 61}}]<br>
* [[Quadrawellismic temperaments|quadrawellisma]]: 67528125/67108864, lala-quadzo-aquinyo
POTE generator: ~75/64 = 271.607<br>
* [[Catasyc temperaments|catasyc comma]]: 390625/387072, laruquadbiyo
Vals: 53, 137d, 190, 243<br>
* [[Mistismic temperaments|mistisma]]: 458752/455625, sazoquadgu
Badness: 0.088355<br><br>
; [[Semicomma family #Quadrawell|Quadrawell]] (31 &amp; 212)
'''7-limit'''<br>
Comma list: 2401/2400, 2109375/2097152<br>
Mapping: [{{val|1 7 0 3}}, {{val|0 -28 12 -1}}]<br>
POTE generator: ~8/7 = 232.094<br>
Vals: 31, 119, 150, 181, 212, 243, 698cd, 941cd<br>
Badness: 0.075754<br><br>
'''11-limit'''<br>
Comma list: 385/384, 1375/1372, 14641/14580<br>
Mapping: [{{val|1 7 0 3 11}}, {{val|0 -28 12 -1 -39}}]<br>
POTE generator: ~8/7 = 232.083<br>
Vals: 31, 119, 150, 181, 212, 455ee, 667cdee<br>
Badness: 0.036493<br><br>
; [[Ragismic microtemperaments #Sfourth|Sfour]] (45 &amp; 46)
'''11-limit'''<br>
Comma list: 385/384, 2401/2376, 4375/4374<br>
Mapping: [{{val|1 2 3 3 3}}, {{val|0 -19 -31 -9 21}}]<br>
POTE generator: ~49/48 = 26.246<br>
Vals: 45, 46, 91, 137d<br>
Badness: 0.076567<br><br>
'''13-limit'''<br>
Comma list: 196/195, 364/363, 385/384, 4375/4374<br>
Mapping: [{{val|1 2 3 3 3 3}}, {{val|0 -19 -31 -9 21 32}}]<br>
POTE generator: ~49/48 = 26.239<br>
Vals: 45, 46, 91, 137d<br>
Badness: 0.051893<br><br>


'''<font style="font-size: 1.15em">26 April 2021</font>'''
'''<font style="font-size: 1.15em">May 2021</font>'''
; [[Semicomma family #Rainwell|Rainwell]] (31 &amp; 265)
* [[Hemfiness temperaments|hemfiness comma]]: 4096000/4084101, saquinru-atriyo
'''7-limit'''<br>
* [[Marvelfifths temperaments|marvelfifths comma]]: 158203125/157351936, laquadru-atritriyo
Comma list: 16875/16807, 2100875/2097152<br>
* [[Chromatisma|chromatisma]]: 640000000000000000 / 635585924776181463, trisa-triru-aquadquadyo
Mapping: [{{val|1 14 -3 6}}, {{val|0 -35 15 -9}}]<br>
* [[Bronzismic temperaments|bronzisma]]: 2097152/2083725, satriru-agugu
POTE generator: ~2625/2048 = 425.673<br>
* <s>[[Breeze comma|sesquiquartisma]]</s>: 2460375/2458624, laquadru-atruyo (→ breezema, breeze comma)
Vals: 31, 172, 203, 234, 265, 296<br>
* [[Mitonismic temperaments|mitonisma]]: 5250987/5242880, laquadzo-agu
Badness: 0.143488<br><br>
* [[Sensamagicfifths temperaments|sensamagicfifths comma]]: {{monzo|-11 42 -7 -14}}, trila-seprurugu
'''11-limit'''<br>
* [[Secanticorn temperaments|secanticornisma]]: 177147/175000, laruquingu
Comma list: 540/539, 1375/1372, 2100875/2097152<br>
* [[Supermatertismic temperaments|supermatertisma]]: 52734375/52706752, lasepru-atritriyo
Mapping: [{{val|1 14 -3 6 29}}, {{val|0 -35 15 -9 -72}}]<br>
* [[Supermasesquartismic temperaments|supermasesquartisma]]: 184528125/184473632, laquadbiru-aquinyo
POTE generator: ~2625/2048 = 425.679<br>
* [[Septimirod temperaments|septimirod comma]]: 84035/82944, quinzo-ayo
Vals: 31, 172e, 203e, 234, 265, 296, 919bc, 1215bcc, 1511bcc<br>
Badness: 0.052774<br><br>


'''<font style="font-size: 1.15em">27 April 2021</font>'''
'''<font style="font-size: 1.15em">June 2021</font>'''
; [[Hemimean clan #Sengagen|Sengage]] (49f&amp;50)
* [[Vorwell clan|vorwell comma]]: 134217728/133984375, sasatriru-aquadbigu
'''13-limit'''<br>
* [[Maitri clan|maitri comma]]: 40353607/40000000, tritrizo-asepgu
Comma list: 144/143, 196/195, 364/363, 625/624<br>
* [[Compass temperaments|compass comma]]: 9765625/9680832, quinruyoyo
Mapping: [{{val|1 1 2 2 3 3}}, {{val|0 29 16 40 23 35}}]<br>
POTE generator: ~99/98 = 24.234<br>
Vals: 49f, 50, 99ef<br>
Badness: 0.037416<br><br>


'''<font style="font-size: 1.15em">30 April 2021</font>'''
'''<font style="font-size: 1.15em">July 2021</font>'''
; [[Kleismic family #Marfifths|Marfifths]] (19 &amp; 140)
* [[4375/4356|fantares comma]]: 4375/4356, luluzoquadyo
'''7-limit'''<br>
* [[Septiness clan|septiness comma]]: 67108864/66706983, sasasepru
Comma list: 10976/10935, 15625/15552<br>
* [[Decovulture temperaments|decovulture comma]]: 67108864/66976875, sasa-birugugu
Mapping: [{{val|1 -6 -4 -17}}, {{val|0 18 15 47}}]<br>
* [[Pontiqak temperaments|pontiqak comma]]: 95703125/95551488, lazozotritriyo
POTE generator: ~75/56 = 505.705<br>
Vals: 19, 121, 140, 579, 719, 859bcd, 999bcd, 1858bbccdd<br>
Badness: 0.063448<br><br>
'''11-limit'''<br>
Comma list: 385/384, 6250/6237, 10976/10935<br>
Mapping: [{{val|1 -6 -4 -17 22}}, {{val|0 18 15 47 -44}}]<br>
POTE generator: ~75/56 = 505.684<br>
Vals: 19, 140, 159, 299<br>
Badness: 0.058902<br><br>
'''13-limit'''<br>
Comma list: 325/324, 385/384, 625/624, 10976/10935<br>
Mapping: [{{val|1 -6 -4 -17 22 -14}}, {{val|0 18 15 47 -44 42}}]<br>
POTE generator: ~75/56 = 505.686<br>
Vals: 19, 140, 159, 299<br>
Badness: 0.030082<br><br>
; [[Kleismic family #Marfifths|Diatessic]] (121 &amp; 140)
'''11-limit'''<br>
Comma list: 1375/1372, 2200/2187, 5632/5625<br>
Mapping: [{{val|1 -6 -4 -17 -37}}, {{val|0 18 15 47 96}}]<br>
POTE generator: ~75/56 = 505.740<br>
Vals: 19e, 121, 140, 261, 401, 662bd<br>
Badness: 0.061172<br><br>
'''13-limit'''<br>
Comma list: 325/324, 352/351, 625/624, 1375/1372<br>
Mapping: [{{val|1 -6 -4 -17 -37 -14}}, {{val|0 18 15 47 96 42}}]<br>
POTE generator: ~75/56 = 505.740<br>
Vals: 19e, 121, 140, 261, 401, 662bd<br>
Badness: 0.028671<br><br>
; [[Kleismic family #Marfifths|Marf]] (19 &amp; 121)
'''11-limit'''<br>
Comma list: 540/539, 896/891, 15625/15552<br>
Mapping: [{{val|1 -6 -4 -17 14}}, {{val|0 18 15 47 -25}}]<br>
POTE generator: ~75/56 = 505.769<br>
Vals: 19, 102d, 121<br>
Badness: 0.075112<br><br>
'''13-limit'''<br>
Comma list: 325/324, 540/539, 625/624, 896/891<br>
Mapping: [{{val|1 -6 -4 -17 14 -14}}, {{val|0 18 15 47 -25 42}}]<br>
POTE generator: ~75/56 = 505.771<br>
Vals: 19, 121<br>
Badness: 0.038317<br><br>


===<font style="font-size: 1.15em">Proposed in May 2021</font>===
'''<font style="font-size: 1.15em">August 2021</font>'''
'''<font style="font-size: 1.15em">1 May 2021</font>'''
* [[Slither clan|slither comma]]: 40960000/40353607, satritriru-aquadyo
; [[Stearnsmic clan #Garistearn|Garistearn]] (94 &amp; 282)
* [[Mermismic temperaments|mermisma]]: 2500000/2470629, sepruyo
'''7-limit'''<br>
* [[Valenwuer temperaments|valenwuer comma]]: 110592/109375, sarutribigu
Comma list: 118098/117649, 33554432/33480783<br>
* [[Negricorn temperaments|negricorn comma]]: 153664/151875, saquadzogu
Mapping: [{{val|94 149 0 264}}, {{val|0 0 1 0}}]<br>
* [[Parkleiness temperaments|parkleiness comma]]: 1959552/1953125, zotritrigu
POTE generator: ~5/4 = 386.7805<br>
* [[Mynaslendic temperaments|mynaslender comma]]: 829440/823543, sepru-ayo
Vals: 94, 282, 658d, 940dd<br>
Badness: 0.307043<br><br>
'''11-limit'''<br>
Comma list: 540/539, 4000/3993, 33554432/33480783<br>
Mapping: [{{val|94 149 0 264 107}}, {{val|0 0 1 0 1}}]<br>
POTE generator: ~5/4 = 386.5968<br>
Vals: 94, 282, 376, 658de<br>
Badness: 0.082255<br><br>
'''13-limit'''<br>
Comma list: 540/539, 729/728, 1575/1573, 28672/28561<br>
Mapping: [{{val|94 149 0 264 107 348}}, {{val|0 0 1 0 1 0}}]<br>
POTE generator: ~5/4 = 386.8141<br>
Vals: 94, 282<br>
Badness: 0.045941<br><br>
'''17-limit'''<br>
Comma list: 540/539, 729/728, 1156/1155, 1575/1573, 2880/2873<br>
Mapping: [{{val|94 149 0 264 107 348 166}}, {{val|0 0 1 0 1 0 1}}]<br>
POTE generator: ~5/4 = 386.8420<br>
Vals: 94, 282<br>
Badness: 0.027608<br><br>
; [[Stearnsmic clan #Decistearn|Decistearn]] (80 &amp; 130)
'''7-limit'''<br>
Comma list: 3136/3125, 118098/117649<br>
Mapping: [{{val|10 17 24 30}}, {{val|0 -3 -2 -5}}]<br>
POTE generator: ~6/5 = 313.960<br>
Vals: 50, 80, 130, 470cd, 600cd, 730cd, 860ccd<br>
Badness: 0.095543<br><br>
'''11-limit'''<br>
Comma list: 540/539, 3136/3125, 4000/3993<br>
Mapping: [{{val|10 17 24 30 35}}, {{val|0 -3 -2 -5 -1}}]<br>
POTE generator: ~6/5 = 314.079<br>
Vals: 50, 80, 130, 210e, 340ce<br>
Badness: 0.038556<br><br>
'''13-limit'''<br>
Comma list: 351/350, 364/363, 540/539, 3136/3125<br>
Mapping: [{{val|10 17 24 30 35 37}}, {{val|0 -3 -2 -5 -1 0}}]<br>
POTE generator: ~6/5 = 313.947<br>
Vals: 50, 80, 130<br>
Badness: 0.026895<br><br>
'''17-limit'''<br>
Comma list: 221/220, 289/288, 351/350, 540/539, 1632/1625<br>
Mapping: [{{val|10 17 24 30 35 37 42}}, {{val|0 -3 -2 -5 -1 0 -3}}]<br>
POTE generator: ~6/5 = 313.931<br>
Vals: 50, 80, 130<br>
Badness: 0.024234<br><br>
'''19-limit'''<br>
Comma list: 221/220, 289/288, 351/350, 361/360, 456/455, 476/475<br>
Mapping: [{{val|10 17 24 30 35 37 42 44}}, {{val|0 -3 -2 -5 -1 0 -3 -4}}]<br>
POTE generator: ~6/5 = 313.949<br>
Vals: 50, 80, 130<br>
Badness: 0.018232<br><br>
; [[Schismatic family #Quadrant|Quadrant]] (12 &amp; 224)
'''7-limit'''<br>
Comma list: 32805/32768, 390625/388962<br>
Mapping: [{{val|4 6 12 17}}, {{val|0 1 -8 -17}}]<br>
POTE generator: ~28/25 = 198.177<br>
Vals: 12, 200, 212, 224, 436, 660, 1096c<br>
Badness: 0.110242<br><br>
'''11-limit'''<br>
Comma list: 1375/1372, 6250/6237, 32805/32768<br>
Mapping: [{{val|4 6 12 17 23}}, {{val|0 1 -8 -17 -27}}]<br>
POTE generator: ~28/25 = 198.181<br>
Vals: 12, 212, 224, 436, 660<br>
Badness: 0.045738<br><br>
'''13-limit'''<br>
Comma list: 625/624, 1375/1372, 2080/2079, 10648/10647<br>
Mapping: [{{val|4 6 12 17 23 26}}, {{val|0 1 -8 -17 -27 -33}}]<br>
POTE generator: ~28/25 = 198.184<br>
Vals: 212, 224, 436, 660<br>
Badness: 0.027243<br><br>
; [[Schismatic family #Quintilipyth|Quintilipyth]] (12 &amp; 253)
<font style="font-size: 0.85em">(Name revised from ''Quintilischis'' on 6 September 2021)</font><br>
'''7-limit'''<br>
Comma list: 32805/32768, 9765625/9680832<br>
Mapping: [{{val|1 2 -1 -4}}, {{val|0 -5 40 82}}]<br>
POTE generator: ~625/588 = 99.625<br>
Vals: 12, 253, 265<br>
Badness: 0.253966<br><br>
'''11-limit'''<br>
Comma list: 1375/1372, 4375/4356, 32805/32768<br>
Mapping: [{{val|1 2 -1 -4 -7}}, {{val|0 -5 40 82 126}}]<br>
POTE generator: ~35/33 = 99.616<br>
Vals: 12, 253, 265, 518c, 783cc<br>
Badness: 0.113044<br><br>
'''13-limit'''<br>
Comma list: 1375/1372, 2080/2079, 4375/4356, 10648/10647<br>
Mapping: [{{val|1 2 -1 -4 -7 -9}}, {{val|0 -5 40 82 126 153}}]<br>
POTE generator: ~35/33 = 99.612<br>
Vals: 12f, 253, 518c, 771cc<br>
Badness: 0.069127<br><br>
'''17-limit'''<br>
Comma list: 375/374, 595/594, 833/832, 1375/1372, 8624/8619<br>
Mapping: [{{val|1 2 -1 -4 -7 -9 5}}, {{val|0 -5 40 82 126 153 -11}}]<br>
POTE generator: ~18/17 = 99.612<br>
Vals: 12f, 253, 518c, 771cc<br>
Badness: 0.045992<br><br>
'''19-limit'''<br>
Comma list: 375/374, 400/399, 495/494, 595/594, 1375/1372, 3978/3971<br>
Mapping: [{{val|1 2 -1 -4 -7 -9 5 4}}, {{val|0 -5 40 82 126 153 -11 3}}]<br>
POTE generator: ~18/17 = 99.615<br>
Vals: 12f, 253, 265, 518ch<br>
Badness: 0.038155<br><br>


'''<font style="font-size: 1.15em">2 May 2021</font>'''
'''<font style="font-size: 1.15em">September 2021</font>'''
; [[Schismatic family #Pontiac|Helenoid]] (53 &amp; 118)
* [[65536/64827|buzzardisma]]: 65536/64827, saquadru (→ buzzardsma, buzzard comma)
'''11-limit'''<br>
* [[Neptunismic temperaments|neptunisma]]: 48828125/48771072, laruruleyo
Comma list: 385/384, 3388/3375, 4375/4374<br>
Mapping: [{{val|1 0 15 -59 51}}, {{val|0 1 -8 39 -30}}]<br>
POTE generator: ~3/2 = 701.722<br>
Vals: 53, 118, 289e, 407de<br>
Badness: 0.038863<br><br>
'''13-limit'''<br>
Comma list: 352/351, 385/384, 625/624, 729/728<br>
Mapping: [{{val|1 0 15 -59 51 56}}, {{val|0 1 -8 39 -30 -33}}]<br>
POTE generator: ~3/2 = 701.745<br>
Vals: 53, 118, 171e<br>
Badness: 0.033677<br><br>
'''17-limit'''<br>
Comma list: 352/351, 385/384, 561/560, 625/624, 729/728<br>
Mapping: [{{val|1 0 15 -59 51 56 -91}}, {{val|0 1 -8 39 -30 -33 60}}]<br>
POTE generator: ~3/2 = 701.742<br>
Vals: 53, 118, 171e, 289ef, 460eef<br>
Badness: 0.028891<br><br>
; [[Schismatic family #Pontiac|Ponta]] (53 &amp; 224)
'''11-limit'''<br>
Comma list: 540/539, 4375/4374, 32805/32768<br>
Mapping: [{{val|1 0 15 -59 135}}, {{val|0 1 -8 39 -83}}]<br>
POTE generator: ~3/2 = 701.783<br>
Vals: 53, 171, 224, 1291cde, 1515cde, 1739cddee, 1963cddee, 2187ccddee<br>
Badness: 0.048692<br><br>
'''13-limit'''<br>
Comma list: 540/539, 625/624, 729/728, 2200/2197<br>
Mapping: [{{val|1 0 15 -59 135 56}}, {{val|0 1 -8 39 -83 -33}}]<br>
POTE generator: ~3/2 = 701.784<br>
Vals: 53, 171, 224<br>
Badness: 0.023616<br><br>
'''17-limit'''<br>
Comma list: 375/374, 540/539, 625/624, 729/728, 2200/2197<br>
Mapping: [{{val|1 0 15 -59 135 56 -91}}, {{val|0 1 -8 39 -83 -33 60}}]<br>
POTE generator: ~3/2 = 701.777<br>
Vals: 53, 171, 224, 395e, 619eg<br>
Badness: 0.022853<br><br>
; [[Schismatic family #Pontiac|Pontic]] (118 &amp; 171)
'''11-limit'''<br>
Comma list: 441/440, 4375/4374, 32805/32768<br>
Mapping: [{{val|1 0 15 -59 -136}}, {{val|0 1 -8 39 88}}]<br>
POTE generator: ~3/2 = 701.724<br>
Vals: 53e, 118, 289, 407d, 696d<br>
Badness: 0.049573<br><br>
'''13-limit'''<br>
Comma list: 441/440, 625/624, 729/728, 3584/3575<br>
Mapping: [{{val|1 0 15 -59 -136 56}}, {{val|0 1 -8 39 88 -33}}]<br>
POTE generator: ~3/2 = 701.738<br>
Vals: 53e, 118, 171, 289f, 460ef<br>
Badness: 0.045308<br><br>
'''17-limit'''<br>
Comma list: 441/440, 595/594, 625/624, 729/728, 2880/2873<br>
Mapping: [{{val|1 0 15 -59 -136 56 -91}}, {{val|0 1 -8 39 88 -33 60}}]<br>
POTE generator: ~3/2 = 701.740<br>
Vals: 53e, 118, 171, 289f, 460ef<br>
Badness: 0.029618<br><br>
; [[Schismatic family #Pontiac|Bipont]] (118 &amp; 224)
'''11-limit'''<br>
Comma list: 3025/3024, 4375/4374, 32805/32768<br>
Mapping: [{{val|2 3 6 -1 2}}, {{val|0 1 -8 39 29}}]<br>
POTE generator: ~3/2 = 701.757<br>
Vals: 106, 118, 224, 342, 1592c, 1934ce, 2276cde, 2618cde, 2960cde<br>
Badness: 0.014629<br><br>
'''13-limit'''<br>
Comma list: 625/624, 729/728, 1575/1573, 4096/4095<br>
Mapping: [{{val|2 3 6 -1 2 13}}, {{val|0 1 -8 39 29 -33}}]<br>
POTE generator: ~3/2 = 701.773<br>
Vals: 106, 118, 224, 566f, 790f<br>
Badness: 0.030172<br><br>
; [[Schismatic family #Pontiac|Counterbipont]] (224 &amp; 566)
'''13-limit'''<br>
Comma list: 1716/1715, 2080/2079, 3025/3024, 32805/32768<br>
Mapping: [{{val|2 3 6 -1 2 -6}}, {{val|0 1 -8 39 29 79}}]<br>
POTE generator: ~3/2 = 701.769<br>
Vals: 106f, 118f, 224, 342f, 566, 1356cf, 1922cff<br>
Badness: 0.025547<br><br>
; [[Schismatic family #Pontiac|Quadrapont]] (224 &amp; 460)
'''13-limit'''<br>
Comma list: 3025/3024, 4225/4224, 4375/4374, 32805/32768<br>
Mapping: [{{val|4 6 12 -2 4 7}}, {{val|0 1 -8 39 29 23}}]<br>
POTE generator: ~3/2 = 701.756<br>
Vals: 224, 460, 684, 2276cde, 2960cde, 3644bccddee<br>
Badness: 0.021025<br><br>
 
'''<font style="font-size: 1.15em">3 May 2021</font>'''
; [[Metric microtemperaments #Decimetra|Decimetra]] (50 &amp; 140)
'''7-limit'''<br>
Comma list: 703125/702464, 823543/820125<br>
Mapping: [{{val|10 15 23 27}}, {{val|0 4 1 5}}]<br>
POTE generator: ~5/4 = 385.495<br>
Vals: 50, 90, 140, 330, 470, 800cd<br>
Badness: 0.121818<br><br>
'''11-limit'''<br>
Comma list: 385/384, 9801/9800, 391314/390625<br>
Mapping: [{{val|10 15 23 27 35}}, {{val|0 4 1 5 -2}}]<br>
POTE generator: ~5/4 = 385.396<br>
Vals: 50, 90, 140, 190, 330e, 520de<br>
Badness: 0.056915<br><br>
'''13-limit'''<br>
Comma list: 385/384, 625/624, 847/845, 4459/4455<br>
Mapping: [{{val|10 15 23 27 35 37}}, {{val|0 4 1 5 -2 0}}]<br>
POTE generator: ~5/4 = 385.419<br>
Vals: 50, 90, 140, 190, 330e<br>
Badness: 0.029297<br><br>
; [[Metric microtemperaments #Stockhausenic|Stockhausenic]] (140 &amp; 183)
'''7-limit'''<br>
Comma list: 703125/702464, 4096000/4084101<br>
Mapping: [{{val|1 4 0 -1}}, {{val|0 -26 25 41}}]<br>
POTE generator: ~16/15 = 111.453<br>
Vals: 43, 97, 140, 183, 323, 786, 1109d, 1432d<br>
Badness: 0.088753<br><br>
'''11-limit'''<br>
Comma list: 1375/1372, 5632/5625, 35937/35840<br>
Mapping: [{{val|1 4 0 -1 -1}}, {{val|0 -26 25 41 48}}]<br>
POTE generator: ~16/15 = 111.460<br>
Vals: 43, 97e, 140, 183, 323, 506, 829de, 1335ddee<br>
Badness: 0.056043<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 1375/1372, 4096/4095<br>
Mapping: [{{val|1 4 0 -1 -1 5}}, {{val|0 -26 25 41 48 -14}}]<br>
POTE generator: ~16/15 = 111.458<br>
Vals: 43, 97e, 140, 183, 323, 829def, 1152deef<br>
Badness: 0.029947<br><br>
'''17-limit'''<br>
Comma list: 442/441, 561/560, 676/675, 715/714, 4096/4095<br>
Mapping: [{{val|1 4 0 -1 -1 5 0}}, {{val|0 -26 25 41 48 -14 44}}]<br>
POTE generator: ~16/15 = 111.459<br>
Vals: 43, 97e, 140, 183, 323, 506, 829defg<br>
Badness: 0.019205<br><br>
 
'''<font style="font-size: 1.15em">4 May 2021</font>'''
; [[Vishnuzmic family #Decavish|Decavish]] (50 &amp; 270)
'''7-limit'''<br>
Comma list: 420175/419904, 2202927104/2197265625<br>
Mapping: [{{val|10 13 22 24}}, {{val|0 7 3 10}}]<br>
POTE generator: ~25/24 = 71.129<br>
Vals: 50, 220, 270, 1400, 1670, 1940, 2210c, 2480c<br>
Badness: 0.114531<br><br>
'''11-limit'''<br>
Comma list: 9801/9800, 41503/41472, 172032/171875<br>
Mapping: [{{val|10 13 22 24 35}}, {{val|0 7 3 10 -1}}]<br>
POTE generator: ~25/24 = 71.141<br>
Vals: 50, 220, 270, 860, 1130, 1400, 3070cd, 4470cde<br>
Badness: 0.036938<br><br>
'''13-limit'''<br>
Comma list: 1001/1000, 4225/4224, 4459/4455, 6656/6655<br>
Mapping: [{{val|10 13 22 24 35 37}}, {{val|0 7 3 10 -1 0}}]<br>
POTE generator: ~25/24 = 71.151<br>
Vals: 50, 220, 270, 590, 860, 1130<br>
Badness: 0.021906<br><br>
; [[Bronzismic temperaments #Bronzoid|Bronzoid]] (109 &amp; 142)
'''7-limit'''<br>
Comma list: 2097152/2083725, 52734375/52706752<br>
Mapping: [{{val|1 14 -11 -9}}, {{val|0 -41 44 39}}]<br>
POTE generator: ~315/256 = 363.347<br>
Vals: 33, 76b, 109, 142, 251<br>
Badness: 0.382300<br><br>
'''11-limit'''<br>
Comma list: 1331/1323, 1375/1372, 2097152/2083725<br>
Mapping: [{{val|1 14 -11 -9 8}}, {{val|0 -41 44 39 -15}}]<br>
POTE generator: ~315/256 = 363.344<br>
Vals: 33, 76b, 109, 142, 251<br>
Badness: 0.152568<br><br>
 
'''<font style="font-size: 1.15em">5 May 2021</font>'''
; [[Ragismic microtemperaments #Ennealimmal|Ennealimmia]] (171 &amp; 270)
'''11-limit'''<br>
Comma list: 2401/2400, 4375/4374, 131072/130977<br>
Mapping: [{{val|9 1 1 12 124}}, {{val|0 2 3 2 -14}}]<br>
POTE generator: ~6/5 = 315.591<br>
Vals: 99, 171, 270, 711, 981, 1251, 2232e<br>
Badness: 0.026463<br><br>
'''13-limit'''<br>
Comma list: 2080/2079, 2401/2400, 4096/4095, 4375/4374<br>
Mapping: [{{val|9 1 1 12 124 93}}, {{val|0 2 3 2 -14 -9}}]<br>
POTE generator: ~6/5 = 315.600<br>
Vals: 99, 171, 270, 711, 981, 1692e, 2673e<br>
Badness: 0.016607<br><br>
 
'''<font style="font-size: 1.15em">10 May 2021</font>'''
; [[Ragismic microtemperaments #Parakleismic|Paralytic]] (118 &amp; 217)
<font style="font-size: 0.85em">(Name revised from ''Paraklein'' on 13 May 2021)</font><br>
'''11-limit'''<br>
Comma list: 441/440, 3136/3125, 4375/4374<br>
Mapping: [{{val|1 5 6 12 25}}, {{val|0 -13 -14 -35 -82}}]<br>
POTE generator: ~6/5 = 315.220<br>
Vals: 19e, 99e, 118, 217, 335, 552d, 887dd<br>
Badness: 0.036027<br><br>
'''13-limit'''<br>
Comma list: 441/440, 1001/1000, 3136/3125, 4375/4374<br>
Mapping: [{{val|1 5 6 12 25 -16}}, {{val|0 -13 -14 -35 -82 75}}]<br>
POTE generator: ~6/5 = 315.214<br>
Vals: 99e, 118, 217, 552d, 769de<br>
Badness: 0.044710<br><br>
 
'''<font style="font-size: 1.15em">11 May 2021</font>'''
; [[Hemimage temperaments #Cotoneum|Cotoneum]] (41 &amp; 217)
'''7-limit'''<br>
Comma list: 10976/10935, 823543/819200<br>
Mapping: [{{val|1 2 -18 -3}}, {{val|0 -1 49 14}}]<br>
POTE generator: ~3/2 = 702.317<br>
Vals: 41, 135c, 176, 217, 258, 475<br>
Badness: 0.105632<br><br>
'''11-limit'''<br>
Comma list: 441/440, 10976/10935, 16384/16335<br>
Mapping: [{{val|1 2 -18 -3 13}}, {{val|0 -1 49 14 -23}}]<br>
POTE generator: ~3/2 = 702.303<br>
Vals: 41, 176, 217<br>
Badness: 0.050966<br><br>
'''13-limit'''<br>
Comma list: 364/363, 441/440, 3584/3575, 10976/10935<br>
Mapping: [{{val|1 2 -18 -3 13 29}}, {{val|0 -1 49 14 -23 -61}}]<br>
POTE generator: ~3/2 = 702.306<br>
Vals: 41, 176, 217<br>
Badness: 0.036951<br><br>
'''17-limit'''<br>
Comma list: 364/363, 441/440, 595/594, 3584/3575, 8281/8262<br>
Mapping: [{{val|1 2 -18 -3 13 29 41}}, {{val|0 -1 49 14 -23 -61 -89}}]<br>
POTE generator: ~3/2 = 702.307<br>
Vals: 41, 176, 217<br>
Badness: 0.029495<br><br>
'''19-limit'''<br>
Comma list: 343/342, 364/363, 441/440, 595/594, 1216/1215, 1729/1728<br>
Mapping: [{{val|1 2 -18 -3 13 29 41 -14}}, {{val|0 -1 49 14 -23 -61 -89 44}}]<br>
POTE generator: ~3/2 = 702.308<br>
Vals: 41, 176, 217<br>
Badness: 0.021811<br><br>
 
'''<font style="font-size: 1.15em">12 May 2021</font>'''
; [[Misty family #Fog|Fog]] (12 &amp; 63)
'''7-limit'''<br>
Comma list: 225/224, 156250/151263<br>
Mapping: [{{val|3 5 6 7}}, {{val|0 -1 4 6}}]<br>
POTE generator: ~3/2 = 704.118<br>
Vals: 12, 51, 63, 75<br>
Badness: 0.086866<br><br>
'''11-limit'''<br>
Comma list: 100/99, 225/224, 2420/2401<br>
Mapping: [{{val|3 5 6 7 8}}, {{val|0 -1 4 6 10}}]<br>
POTE generator: ~3/2 = 704.411<br>
Vals: 12, 51, 63, 138de<br>
Badness: 0.051348<br><br>
; [[Porwell temperaments #Countermiracle|Countermiracle]] (31 &amp; 145)
'''7-limit'''<br>
Comma list: 6144/6125, 50421/50000<br>
Mapping: [{{val|1 4 3 3}}, {{val|0 -25 -7 -2}}]<br>
POTE generator: ~343/320 = 115.917<br>
Vals: 31, 114, 145, 176, 559cc, 735cc<br>
Badness: 0.102326<br><br>
'''11-limit'''<br>
Comma list: 441/440, 3388/3375, 6144/6125<br>
Mapping: [{{val|1 4 3 3 8}}, {{val|0 -25 -7 -2 -47}}]<br>
POTE generator: ~77/72 = 115.916<br>
Vals: 31, 114e, 145, 176<br>
Badness: 0.039162<br><br>
 
'''<font style="font-size: 1.15em">13 May 2021</font>'''
; [[Ragismic microtemperaments #Parakleismic|Paraklein]] (19e &amp; 118)
'''13-limit'''<br>
Comma list: 196/195, 352/351, 625/624, 729/728<br>
Mapping: [{{val|1 5 6 12 25 15}}, {{val|0 -13 -14 -35 -82 -43}}]<br>
POTE generator: ~6/5 = 315.225<br>
Vals: 19e, 99ef, 118, 217ff, 335ff<br>
Badness: 0.037618<br><br>
; [[Porwell temperaments #Countermiracle|Countermiraculous]] (31 &amp; 145)
'''13-limit'''<br>
Comma list: 196/195, 352/351, 1001/1000, 6144/6125<br>
Mapping: [{{val|1 4 3 3 8 1}}, {{val|0 -25 -7 -2 -47 28}}]<br>
POTE generator: ~77/72 = 115.880<br>
Vals: 31, 83e, 114e, 145, 321ceff<br>
Badness: 0.039271<br><br>
; [[Porwell temperaments #Countermiracle|Counterbenediction]] (31 &amp; 176)
'''13-limit'''<br>
Comma list: 351/350, 441/440, 3146/3125, 3584/3575<br>
Mapping: [{{val|1 4 3 3 8 -2}}, {{val|0 -25 -7 -2 -47 59}}]<br>
POTE generator: ~77/72 = 115.933<br>
Vals: 31, 145f, 176, 207, 383c, 590cc<br>
Badness: 0.045569<br><br>
; [[Porwell temperaments #Countermiracle|Counterrevelation]] (31 &amp; 114)
'''11-limit'''<br>
Comma list: 121/120, 176/175, 50421/50000<br>
Mapping: [{{val|1 4 3 3 5}}, {{val|0 -25 -7 -2 -16}}]<br>
POTE generator: ~343/320 = 115.919<br>
Vals: 31, 114, 145e, 176e<br>
Badness: 0.064070<br><br>
'''13-limit'''<br>
Comma list: 121/120, 176/175, 196/195, 13750/13689<br>
Mapping: [{{val|1 4 3 3 5 1}}, {{val|0 -25 -7 -2 -16 28}}]<br>
POTE generator: ~273/256 = 115.862<br>
Vals: 31, 83, 114, 145e<br>
Badness: 0.057497<br><br>
; [[Schismatic family #Septant|Septant]] (224 &amp; 301)
'''7-limit'''<br>
Comma list: 32805/32768, 516560652/514714375<br>
Mapping: [{{val|7 11 17 19}}, {{val|0 1 -8 7}}]<br>
POTE generator: ~3/2 = 701.702<br>
Vals: 77, 147, 224, 301, 525, 826, 1351<br>
Badness: 0.111142<br><br>
'''11-limit'''<br>
Comma list: 3025/3024, 24057/24010, 32805/32768<br>
Mapping: [{{val|7 11 17 19 23}}, {{val|0 1 -8 7 13}}]<br>
POTE generator: ~3/2 = 701.719<br>
Vals: 77, 147, 224, 301, 525<br>
Badness: 0.044122<br><br>
'''13-limit'''<br>
Comma list: 729/728, 1716/1715, 2200/2197, 3025/3024<br>
Mapping: [{{val|7 11 17 19 23 26}}, {{val|0 1 -8 7 13 -1}}]<br>
POTE generator: ~3/2 = 701.724<br>
Vals: 77, 147, 224, 525<br>
Badness: 0.024706<br><br>
'''<font style="font-size: 1.15em">15 May 2021</font>'''
; [[Schismatic family #Term|Terminal]] (12 &amp; 159)
'''11-limit'''<br>
Comma list: 441/440, 4375/4356, 32805/32768<br>
Mapping: [{{val|3 5 5 4 4}}, {{val|0 -1 8 18 26}}]<br>
POTE generator: ~35/33 = 98.176<br>
Vals: 12, 147de, 159, 330<br>
Badness: 0.059502<br><br>
'''13-limit'''<br>
Comma list: 364/363, 441/440, 625/624, 13720/13689<br>
Mapping: [{{val|3 5 5 4 4 3}}, {{val|0 -1 8 18 26 33}}]<br>
POTE generator: ~35/33 = 98.179<br>
Vals: 12f, 147def, 159, 330<br>
Badness: 0.037082<br><br>
'''17-limit'''<br>
Comma list: 364/363, 375/374, 441/440, 595/594, 8624/8619<br>
Mapping: [{{val|3 5 5 4 4 3 13}}, {{val|0 -1 8 18 26 33 -3}}]<br>
POTE generator: ~18/17 = 98.190<br>
Vals: 12f, 147def, 159, 171, 330<br>
Badness: 0.027073<br><br>
; [[Schismatic family #Term|Hemiterm]] (12 &amp; 342)
'''11-limit'''<br>
Comma list: 9801/9800, 32805/32768, 151263/151250<br>
Mapping: [{{val|6 10 10 8 7}}, {{val|0 -1 8 18 28}}]<br>
POTE generator: ~35/33 = 98.254<br>
Vals: 12, 342, 1380, 1722, 2064, 2406c<br>
Badness: 0.029438<br><br>


'''<font style="font-size: 1.15em">18 May 2021</font>'''
'''<font style="font-size: 1.15em">October 2021</font>'''
; [[Breedsmic temperaments #Septidiasemi|Sedia]] (10 &amp; 161)
* [[Domicomp temperaments|domicomp comma]]: 413343/409600, lazogugu
'''11-limit'''<br>
Comma list: 243/242, 441/440, 939524096/935859375<br>
Mapping: [{{val|1 -1 6 4 -3}}, {{val|0 26 -37 -12 65}}]<br>
POTE generator: ~15/14 = 119.279<br>
Vals: 10, 151, 161, 171, 332<br>
Badness: 0.090687<br><br>
'''13-limit'''<br>
Comma list: 243/242, 441/440, 2200/2197, 3584/3575<br>
Mapping: [{{val|1 -1 6 4 -3 4}}, {{val|0 26 -37 -12 65 -3}}]<br>
POTE generator: ~15/14 = 119.281<br>
Vals: 10, 151, 161, 171, 332, 835eeff<br>
Badness: 0.045773<br><br>
'''17-limit'''<br>
Comma list: 243/242, 441/440, 833/832, 2200/2197, 3584/3575<br>
Mapping: [{{val|1 -1 6 4 -3 4 2}}, {{val|0 26 -37 -12 65 -3 21}}]<br>
POTE generator: ~15/14 = 119.281<br>
Vals: 10, 151, 161, 171, 332, 503ef, 835eeff<br>
Badness: 0.027322<br><br>


'''<font style="font-size: 1.15em">21 May 2021</font>'''
'''<font style="font-size: 1.15em">November 2021</font>'''
; [[Kleismic family #Marthirds|Marthirds]] (19 &amp; 193)
* [[Trienstonisma|trienstonisma]]: 43046721/43025920, laquinru-agu
'''7-limit'''<br>
* [[Lokismic temperaments|lokisma]]: 102760448/102515625, sasazozo-atribigu
Comma list: 15625/15552, 2460375/2458624<br>
Mapping: [{{val|1 -6 -4 -19}}, {{val|0 24 20 69}}]<br>
POTE generator: ~56/45 = 379.252<br>
Vals: 19, 193, 212, 617c, 829c<br>
Badness: 0.104253<br><br>
'''11-limit'''<br>
Comma list: 1375/1372, 15625/15552, 19712/19683<br>
Mapping: [{{val|1 -6 -4 -19 -43}}, {{val|0 24 20 69 147}}]<br>
POTE generator: ~56/45 = 379.257<br>
Vals: 19e, 193, 212, 405, 617c, 1022cce<br>
Badness: 0.075624<br><br>
'''13-limit'''<br>
Comma list: 325/324, 625/624, 1375/1372, 19712/19683<br>
Mapping: [{{val|1 -6 -4 -19 -43 -14}}, {{val|0 24 20 69 147 56}}]<br>
POTE generator: ~56/45 = 379.256<br>
Vals: 19e, 193, 212, 405f, 617cff<br>
Badness: 0.043728<br><br>


'''<font style="font-size: 1.15em">22 May 2021</font>'''
===<font style="font-size: 1.15em">Proposed in 2022</font>===
; [[Ragismic microtemperaments #Counterkleismic|Counterkleismic]] (19 &amp; 224)
'''<font style="font-size: 1.15em">January 2022</font>'''
'''7-limit'''<br>
* [[Countriton comma|countriton comma]]: 16777216000000000 / 16677181699666569, quadsa-tritriyo
Comma list: 4375/4374, 158203125/157351936<br>
* [[3042/3025|diagassormisma]]: 3042/3025, bitholugu
Mapping: [{{val|1 -5 -4 -18}}, {{val|0 25 24 79}}]<br>
* [[Gaster temperament|gaster comma]]: {{monzo|-70 72 -19}}, quadbila-negu
POTE generator: ~6/5 = 316.060<br>
* [[Mabilismic clan|mabilisma]]: 1071875/1048576, latrizo-aquinyo
Vals: 19, 205, 224, 243, 467<br>
* [[pentonisma]]: 281974669312/281950621875, saquinthuzogu
Badness: 0.090553<br><br>
'''11-limit'''<br>
Comma list: 540/539, 4375/4374, 2097152/2096325<br>
Mapping: [{{val|1 -5 -4 -18 19}}, {{val|0 25 24 79 -59}}]<br>
POTE generator: ~6/5 = 316.071<br>
Vals: 19, 205, 224<br>
Badness: 0.070952<br><br>
'''13-limit'''<br>
Comma list: 540/539, 625/624, 729/728, 10985/10976<br>
Mapping: [{{val|1 -5 -4 -18 19 -15}}, {{val|0 25 24 79 -59 71}}]<br>
POTE generator: ~6/5 = 316.070<br>
Vals: 19, 205, 224, 1587cde, 1811ccdef, 2035ccddeef, 2259ccddeef, 2483ccddeef, 2707ccddeef<br>
Badness: 0.033874<br><br>
; [[Ragismic microtemperaments #Counterkleismic|Counterlytic]] (19e &amp; 224)
'''11-limit'''<br>
Comma list: 1375/1372, 4375/4374, 496125/495616<br>
Mapping: [{{val|1 -5 -4 -18 -40}}, {{val|0 25 24 79 165}}]<br>
POTE generator: ~6/5 = 316.065<br>
Vals: 19e, 205e, 224<br>
Badness: 0.065400<br><br>
'''13-limit'''<br>
Comma list: 625/624, 729/728, 1375/1372, 10985/10976<br>
Mapping: [{{val|1 -5 -4 -18 -40 -15}}, {{val|0 25 24 79 165 71}}]<br>
POTE generator: ~6/5 = 316.065<br>
Vals: 19e, 205e, 224<br>
Badness: 0.029782<br><br>


'''<font style="font-size: 1.15em">24 May 2021</font>'''
'''<font style="font-size: 1.15em">February 2022</font>'''
; [[Metric microtemperaments #Geb|Geb]] (171 &amp; 506)
* [[8281/8192|diahuntmisma]]: 8281/8192, labithozo
'''5-limit'''<br>
* [[3645/3584|schismean comma]]: 3645/3584, laruyo
Comma list: {{monzo|-31 43 -16}}<br>
Mapping: [{{val|1 -3 -10}}, {{val|0 16 43}}]<br>
POTE generator: ~8000/6561 = 343.868<br>
Vals: 7, 143c, 150c, 157, 164, 171, 506, 677, 848<br>
Badness: 0.118577<br><br>
'''7-limit'''<br>
Comma list: 703125/702464, 14348907/14336000<br>
Mapping: [{{val|1 -3 -10 -29}}, {{val|0 16 43 111}}]<br>
POTE generator: ~8000/6561 = 343.863<br>
Vals: 171, 1190, 1361, 1532, 1703, 1874, 2045, 2216, 4603bc<br>
Badness: 0.048770<br><br>


'''<font style="font-size: 1.15em">26 May 2021</font>'''
'''<font style="font-size: 1.15em">March 2022</font>'''
; [[Hewuermera temperaments #Hemidimfi|Hemidimfi]] (130 &amp; 193)
* [[Acrodec temperaments|acrodec comma]]: 7710244864/7688671875, sasa-tribizo-aquadbigu
'''7-limit'''<br>
* [[120/119|lynchisma]]: 120/119, suruyo
Comma list: 589824/588245, 2460375/2458624<br>
Mapping: [{{val|1 -4 14 -1}}, {{val|0 22 -46 15}}]<br>
POTE generator: ~343/288 = 304.639<br>
Vals: 63, 130, 323, 453, 776<br>
Badness: 0.083491<br><br>
'''11-limit'''<br>
Comma list: 540/539, 12005/11979, 16384/16335<br>
Mapping: [{{val|1 -4 14 -1 6}}, {{val|0 22 -46 15 -10}}]<br>
POTE generator: ~105/88 = 304.641<br>
Vals: 63, 130, 193, 323e<br>
Badness: 0.052236<br><br>
'''13-limit'''<br>
Comma list: 364/363, 540/539, 676/675, 4096/4095<br>
Mapping: [{{val|1 -4 14 -1 6 7}}, {{val|0 22 -46 15 -10 -13}}]<br>
POTE generator: ~105/88 = 304.639<br>
Vals: 63, 130, 193, 323e, 453e, 776eef<br>
Badness: 0.030433<br><br>


'''<font style="font-size: 1.15em">29 May 2021</font>'''
'''<font style="font-size: 1.15em">May 2022</font>'''
; [[Maquila family #Maquiloid|Maquiloid]] (9 &amp; 56)
* [[Augmist temperaments|augmist comma]]: 1438646272/1423828125, sasa-trizotrigu
'''7-limit'''<br>
* [[Starling temperaments|supersensi comma]]: 33059881728/30517578125, quintrigu
Comma list: 686/675, 65625/65536<br>
Mapping: [{{val|1 -6 5 -3}}, {{val|0 17 -6 13}}]<br>
POTE generator: ~175/128 = 535.482<br>
Vals: 9, 38b, 47b, 56, 65, 121d, 186dd<br>
Badness: 0.188977<br><br>
'''11-limit'''<br>
Comma list: 245/242, 385/384, 686/675<br>
Mapping: [{{val|1 -6 5 -3 -1}}, {{val|0 17 -6 13 10}}]<br>
POTE generator: ~15/11 = 535.485<br>
Vals: 9, 38be, 47b, 56, 65, 121d, 186dde<br>
Badness: 0.066234<br><br>
'''13-limit'''<br>
Comma list: 91/90, 169/168, 245/242, 385/384<br>
Mapping: [{{val|1 -6 5 -3 -1 -3}}, {{val|0 17 -6 13 10 15}}]<br>
POTE generator: ~15/11 = 535.501<br>
Vals: 9, 38be, 47b, 56, 65f, 121df, 186ddeff<br>
Badness: 0.041850<br><br>


'''<font style="font-size: 1.15em">30 May 2021</font>'''
===<font style="font-size: 1.15em">Proposed in 2023</font>===
; [[Amity family #Paramity|Paramity]] (53 &amp; 311)
'''<font style="font-size: 1.15em">11 May 2023</font>'''
'''7-limit'''<br>
* [[syntonisma]]: {{monzo|30 -27 7 0 -1}}, trisa-lusepyo
Comma list: 65625/65536, 1600000/1594323<br>
Mapping: [{{val|1 3 6 -17}}, {{val|0 -5 -13 70}}]<br>
POTE generator: ~243/200 = 339.553<br>
Vals: 53, 205d, 258, 311, 675, 986, 1297c, 2283bc<br>
Badness: 0.113655<br><br>
'''11-limit'''<br>
Comma list: 6250/6237, 19712/19683, 41503/41472<br>
Mapping: [{{val|1 3 6 -17 36}}, {{val|0 -5 -13 70 -115}}]<br>
POTE generator: ~243/200 = 339.554<br>
Vals: 53, 205de, 258, 311, 675, 986<br>
Badness: 0.064853<br><br>
'''13-limit'''<br>
Comma list: 625/624, 2080/2079, 2200/2197, 19712/19683<br>
Mapping: [{{val|1 3 6 -17 36 17}}, {{val|0 -5 -13 70 -115 -47}}]<br>
POTE generator: ~243/200 = 339.554<br>
Vals: 53, 205de, 258, 311, 675, 986, 1661cf<br>
Badness: 0.030347<br><br>
'''17-limit'''<br>
Comma list: 625/624, 1225/1224, 2080/2079, 2200/2197, 2431/2430<br>
Mapping: [{{val|1 3 6 -17 36 17 -31}}, {{val|0 -5 -13 70 -115 -47 124}}]<br>
POTE generator: ~243/200 = 339.555<br>
Vals: 53, 205deg, 258g, 311, 675, 1661cf, 2336bccf, 3011bccf<br>
Badness: 0.024118<br><br>
'''19-limit'''<br>
Comma list: 625/624, 1225/1224, 1540/1539, 1729/1728, 2080/2079, 2200/2197<br>
Mapping: [{{val|1 3 6 -17 36 17 -31 15}}, {{val|0 -5 -13 70 -115 -47 124 -38}}]<br>
POTE generator: ~208/171 = 339.555<br>
Vals: 53, 205deg, 258g, 311, 675, 986, 1661cfh<br>
Badness: 0.017420<br><br>


===<font style="font-size: 1.15em">Proposed in June 2021</font>===
'''<font style="font-size: 1.15em">27 May 2023</font>'''
'''<font style="font-size: 1.15em">1 June 2021</font>'''
* [[170/169|major naiadma]]: 170/169, sothuthuyo
; [[Tritrizo clan #Schisennealimmal|Schisennealimmal]] (171 &amp; 342)
* [[221/220|minor naiadma]]: 221/220, sotholugu
'''11-limit'''<br>
* <s>[[256/255|diasemisma]]</s>: 256/255, sugu (→ charisma, charic comma)
Comma list: 2401/2400, 4375/4374, 32805/32768<br>
* [[442/441|seminaiadma]]: 442/441, sothoruru
Mapping: [{{val|171 271 397 480 0}}, {{val|0 0 0 0 1}}]<br>
POTE generator: ~11/8 = 550.954<br>
Vals: 171, 342<br>
Badness: 0.031739<br><br>
'''13-limit'''<br>
Comma list: 625/624, 729/728, 2205/2197, 2401/2400<br>
Mapping: [{{val|171 271 397 480 0 633}}, {{val|0 0 0 0 1 0}}]<br>
POTE generator: ~11/8 = 551.322<br>
Vals: 171, 342, 855ff, 1197fff<br>
Badness: 0.054029<br><br>
'''17-limit'''<br>
Comma list: 625/624, 729/728, 833/832, 1225/1224, 2205/2197<br>
Mapping: [{{val|171 271 397 480 0 633 699}}, {{val|0 0 0 0 1 0 0}}]<br>
POTE generator: ~11/8 = 551.365<br>
Vals: 171, 342, 855ff, 1197fff<br>
Badness: 0.031323<br><br>
; [[Tritrizo clan #Schisennealimmic|Schisennealimmic]] (171 &amp; 513)
'''13-limit'''<br>
Comma list: 2080/2079, 2401/2400, 4375/4374, 32805/32768<br>
Mapping: [{{val|171 271 397 480 0 41}}, {{val|0 0 0 0 1 1}}]<br>
POTE generator: ~11/8 = 551.625<br>
Vals: 171, 342f, 513, 855f<br>
Badness: 0.046843<br><br>
'''17-limit'''<br>
Comma list: 936/935, 1225/1224, 1701/1700, 2025/2023, 11271/11264<br>
Mapping: [{{val|171 271 397 480 0 41 699}}, {{val|0 0 0 0 1 1 0}}]<br>
POTE generator: ~11/8 = 551.756<br>
Vals: 171, 342f, 513, 855f<br>
Badness: 0.030622<br><br>


'''<font style="font-size: 1.15em">2 June 2021</font>'''
'''<font style="font-size: 1.15em">18 July 2023</font>'''
; [[Compton family #Decades|Decades]] (36 &amp; 72)
* [[grossmisma]]: {{monzo|-30 -13 -1 1 7 7}}, septholo-azogu
'''7-limit'''<br>
Comma list: 1029/1024, 118098/117649<br>
Mapping: [{{val|36 57 0 101}}, {{val|0 0 1 0}}]<br>
POTE generator: ~5/4 = 384.764<br>
Vals: 36, 72, 252, 324bd, 396bd<br>
Badness: 0.108016<br><br>
'''11-limit'''<br>
Comma list: 540/539, 1029/1024, 4000/3993<br>
Mapping: [{{val|36 57 0 101 41}}, {{val|0 0 1 0 1}}]<br>
POTE generator: ~5/4 = 384.150<br>
Vals: 36, 72, 396bd, 468bcd, 540bcd, 612bccdd, 684bbccdd, 756bbccdd<br>
Badness: 0.043088<br><br>


'''<font style="font-size: 1.15em">3 June 2021</font>'''
'''<font style="font-size: 1.15em">21 July 2023</font>'''
; [[Tritrizo clan #Undecentic|Undecentic]] (99 &amp; 198)
* [[3971/3969|heartlandisma]]: 3971/3969, nonoloruru
'''11-limit'''<br>
Comma list: 2401/2400, 3136/3125, 4375/4374<br>
Mapping: [{{val|99 157 230 278 0}}, {{val|0 0 0 0 1}}]<br>
POTE generator: ~11/8 = 552.756<br>
Vals: 99e, 198, 297e, 495ce<br>
Badness: 0.058801<br><br>
'''13-limit'''<br>
Comma list: 352/351, 847/845, 2401/2400, 3136/3125<br>
Mapping: [{{val|99 157 230 278 0 24}}, {{val|0 0 0 0 1 1}}]<br>
POTE generator: ~11/8 = 552.024<br>
Vals: 99ef, 198<br>
Badness: 0.042547<br><br>


'''<font style="font-size: 1.15em">5 June 2021</font>'''
'''<font style="font-size: 1.15em">23 July 2023</font>'''
; [[Cloudy clan #Pentadecal|Pentadecal]] (15 &amp; 60)
* [[171/170|malcolmisma]]: 171/170, nosugu
'''7-limit'''<br>
* [[190/189|cotylisma]]: 190/189, noruyo
Comma list: 875/864, 16807/16384<br>
* [[324/323|photisma]]: 324/323, nusu
Mapping: [{{val|15 0 11 42}}, {{val|0 1 1 0}}]<br>
* [[343/342|nutrisma]]: 343/342, nutrizo
POTE generator: ~3/2 = 700.223<br>
* [[400/399|devichroma]]: 400/399, nuruyoyo
Vals: 15, 45, 60<br>
* [[devicisma]]: 633556/633555, nunusothutrilo-azogu
Badness: 0.114833<br><br>
'''11-limit'''<br>
Comma list: 100/99, 385/384, 1372/1331<br>
Mapping: [{{val|15 0 11 42 52}}, {{val|0 1 1 0 0}}]<br>
POTE generator: ~3/2 = 702.733<br>
Vals: 15, 45, 60, 75de, 135de<br>
Badness: 0.077420<br><br>
'''13-limit'''<br>
Comma list: 100/99, 105/104, 144/143, 1372/1331<br>
Mapping: [{{val|15 0 11 42 52 8}}, {{val|0 1 1 0 0 2}}]<br>
POTE generator: ~3/2 = 701.715<br>
Vals: 15, 45f, 60, 135de, 195cddee<br>
Badness: 0.051740<br><br>


'''<font style="font-size: 1.15em">9 June 2021</font>'''
'''<font style="font-size: 1.15em">15 August 2023</font>'''
; [[Cloudy clan #Quinkee|Quinkee]] (15 &amp; 55)
* [[133/132|minithirdma]]: 133/132, noluzo
'''7-limit'''<br>
* <s>[[136/135|diatonisma]]</s>: 136/135, sogu (→ diatisma)
Comma list: 1029/1000, 6144/6125<br>
* [[154/153|augustma]]: 154/153, sulozo
Mapping: [{{val|5 9 12 14}}, {{val|0 -3 -1 0}}]<br>
* [[161/160|major kirnbergerisma]]: 161/160, twethozogu
POTE generator: ~5/4 = 393.439<br>
* [[162/161|minor kirnbergerisma]]: 162/161, twethuru
Vals: 15, 40, 55, 125cd, 180ccdd<br>
* [[286/285|chthonisma]]: 286/285, nuthologu
Badness: 0.184222<br><br>
* [[1275/1274|cimbrisma]]: 1275/1274, sothubiruyo
'''11-limit'''<br>
* [[galileisma]]: 171382426877952 / 171359481538165, lalesu-agu
Comma list: 121/120, 176/175, 1029/1000<br>
Mapping: [{{val|5 9 12 14 18}}, {{val|0 -3 -1 0 -2}}]<br>
POTE generator: ~5/4 = 393.438<br>
Vals: 15, 40, 55, 125cd, 180ccdde<br>
Badness: 0.065192<br><br>
'''13-limit'''<br>
Comma list: 66/65, 105/104, 121/120, 637/625<br>
Mapping: [{{val|5 9 12 14 18 20}}, {{val|0 -3 -1 0 -2 -4}}]<br>
POTE generator: ~5/4 = 392.798<br>
Vals: 15, 40, 55<br>
Badness: 0.048440<br><br>


'''<font style="font-size: 1.15em">10 June 2021</font>'''
'''<font style="font-size: 1.15em">16 August 2023</font>'''
; [[Ditonmic family #Coditone|Coditonic]] (3de &amp; 53)
* [[85/84|monk comma]]: 85/84, soruyo
<font style="font-size: 0.85em">(''Proposed name for disambiguation of coditone extension'')</font><br>
* [[456/455|abnobisma]]: 456/455, nothulugu
'''11-limit'''<br>
* [[476/475|hedwigma]]: 476/475, nusozogugu
Comma list: 99/98, 176/175, 6655/6561<br>
* [[495/494|eulalisma]]: 495/494, nuthuloyo
Mapping: [{{val|1 6 3 13 15}}, {{val|0 -13 -2 -30 -34}}]<br>
POTE generator: ~242/189 = 407.567<br>
Vals: 3de, 50e, 53<br>
Badness: 0.063876<br><br>
'''13-limit'''<br>
Comma list: 99/98, 176/175, 325/324, 847/845<br>
Mapping: [{{val|1 6 3 13 15 20}}, {{val|0 -13 -2 -30 -34 -48}}]<br>
POTE generator: ~33/26 = 407.541<br>
Vals: 3def, 53<br>
Badness: 0.043989<br><br>


'''<font style="font-size: 1.15em">27 June 2021</font>'''
'''<font style="font-size: 1.15em">21 August 2023</font>'''
; [[Landscape microtemperaments #Terture|Terture]] (111 &amp; 159)
* [[363/361|godzillisma]]: 363/361, binulo
'''7-limit'''<br>
* [[2431/2430|heptacircle comma]]: 2431/2430, sothologu
Comma list: 250047/250000, 359661568/358722675<br>
Mapping: [{{val|3 4 3 2}}, {{val|0 4 21 34}}]<br>
POTE generator: ~392/375 = 75.555<br>
Vals: 111, 159, 270<br>
Badness: 0.087156<br><br>
'''11-limit'''<br>
Comma list: 3025/3024, 19712/19683, 102487/102400<br>
Mapping: [{{val|3 4 3 2 10}}, {{val|0 4 21 34 2}}]<br>
POTE generator: ~392/375 = 75.550<br>
Vals: 111, 159, 270, 1239, 1509, 1779, 2049, 2319<br>
Badness: 0.029326<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 3025/3024, 10985/10976<br>
Mapping: [{{val|3 4 3 2 10 6}}, {{val|0 4 21 34 2 27}}]<br>
POTE generator: ~117/112 = 75.553<br>
Vals: 111, 159, 270<br>
Badness: 0.018647<br><br>
'''17-limit'''<br>
Comma list: 676/675, 715/714, 936/935, 1001/1000, 4928/4913<br>
Mapping: [{{val|3 4 3 2 10 6 10}}, {{val|0 4 21 34 2 27 12}}]<br>
POTE generator: ~117/112 = 75.560<br>
Vals: 111, 159, 270<br>
Badness: 0.018705<br><br>
'''19-limit'''<br>
Comma list: 676/675, 715/714, 936/935, 1001/1000, 1216/1215, 1617/1615<br>
Mapping: [{{val|3 4 3 2 10 6 10 5}}, {{val|0 4 21 34 2 27 12 41}}]<br>
POTE generator: ~95/91 = 75.560<br>
Vals: 111, 159, 270<br>
Badness: 0.013902<br><br>
'''23-limit'''<br>
Comma list: 460/459, 529/528, 676/675, 715/714, 936/935, 1001/1000, 1216/1215<br>
Mapping: [{{val|3 4 3 2 10 6 10 5 13}}, {{val|0 4 21 34 2 27 12 41 3}}]<br>
POTE generator: ~24/23 = 75.548<br>
Vals: 111, 159, 270<br>
Badness: 0.014915<br><br>
; [[Vulture family #Septimal vulture|Semivulture]] (106 &amp; 164)
'''11-limit'''<br>
Comma list: 3025/3024, 4375/4374, 33554432/33480783<br>
Mapping: [{{val|2 4 9 -6 -2}}, {{val|0 -4 -21 56 43}}]<br>
POTE generator: ~275/256 = 124.450<br>
Vals: 106, 164, 270<br>
Badness: 0.040799<br><br>
'''13-limit'''<br>
Comma list: 676/675, 3025/3024, 4096/4095, 4375/4374<br>
Mapping: [{{val|2 4 9 -6 -2 13}}, {{val|0 -4 -21 56 43 -27}}]<br>
POTE generator: ~275/256 = 124.447<br>
Vals: 106, 164, 270<br>
Badness: 0.035458<br><br>
; [[Vulture family #Eagle|Eagle]] (58 &amp; 212)
'''7-limit'''<br>
Comma list: 2401/2400, 10485760000/10460353203<br>
Mapping: [{{val|2 4 9 8}}, {{val|0 -8 -42 -23}}]<br>
POTE generator: ~28/27 = 62.229<br>
Vals: 58, 212, 270, 752, 1022, 1292, 2854b<br>
Badness: 0.059498<br><br>
'''11-limit'''<br>
Comma list: 2401/2400, 9801/9800, 19712/19683<br>
Mapping: [{{val|2 4 9 8 12}}, {{val|0 -8 -42 -23 -49}}]<br>
POTE generator: ~28/27 = 62.224<br>
Vals: 58, 212, 270<br>
Badness: 0.024885<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 1716/1715, 10648/10647<br>
Mapping: [{{val|2 4 9 8 12 13}}, {{val|0 -8 -42 -23 -49 -54}}]<br>
POTE generator: ~28/27 = 62.220<br>
Vals: 58, 212, 270<br>
Badness: 0.016282<br><br>
; [[Schismic-Pythagorean equivalence continuum|Quindromeda]] (12 &amp; 193)
'''5-limit'''<br>
Comma: {{monzo|56 -28 -5}}<br>
Mapping: [{{val|1 2 0}}, {{val|0 -5 28}}]<br>
POTE generator: ~4428675/4194304 = 99.526<br>
Vals: 12, 169, 181, 193, 205, 217, 422<br>
Badness: 0.399849<br><br>
; [[Hemifamity temperaments #Quintakwai|Quintakwai]] (12 &amp; 193)
'''7-limit'''<br>
Comma list: 5120/5103, 9765625/9680832<br>
Mapping: [{{val|1 2 0 -2}}, {{val|0 -5 28 58}}]<br>
POTE generator: ~625/588 = 99.483<br>
Vals: 12, 169, 181, 193<br>
Badness: 0.155536<br><br>
'''11-limit'''<br>
Comma list: 1375/1372, 4375/4356, 5120/5103<br>
Mapping: [{{val|1 2 0 -2 -4}}, {{val|0 -5 28 58 90}}]<br>
POTE generator: ~35/33 = 99.472<br>
Vals: 12, 181, 193, 374, 567ce<br>
Badness: 0.073158<br><br>
'''13-limit'''<br>
Comma list: 325/324, 1375/1372, 1575/1573, 4096/4095<br>
Mapping: [{{val|1 2 0 -2 -4 10}}, {{val|0 -5 28 58 90 -76}}]<br>
POTE generator: ~35/33 = 99.468<br>
Vals: 12, 181, 193, 374, 567ce, 941bce<br>
Badness: 0.062737<br><br>
'''17-limit'''<br>
Comma list: 325/324, 375/374, 595/594, 1275/1274, 4096/4095<br>
Mapping: [{{val|1 2 0 -2 -4 10 5}}, {{val|0 -5 28 58 90 -76 -11}}]<br>
POTE generator: ~18/17 = 99.469<br>
Vals: 12, 181, 193, 374, 567ce, 941bceg<br>
Badness: 0.037855<br><br>
'''19-limit'''<br>
Comma list: 325/324, 375/374, 400/399, 595/594, 1216/1215, 1275/1274<br>
Mapping: [{{val|1 2 0 -2 -4 10 5 4}}, {{val|0 -5 28 58 90 -76 -11 3}}]<br>
POTE generator: ~18/17 = 99.469<br>
Vals: 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh<br>
Badness: 0.025861<br><br>
; [[Hemimean clan #Quintagar|Quintagar]] (12 &amp; 217)
<font style="font-size: 0.85em">(Name revised from ''Quintoneum'' on 30 June 2021)</font><br>
'''7-limit'''<br>
Comma list: 3136/3125, 33554432/33480783<br>
Mapping: [{{val|1 2 0 -3}}, {{val|0 -5 28 70}}]<br>
POTE generator: ~200/189 = 99.555<br>
Vals: 12, 217, 229, 446, 675c<br>
Badness: 0.142897<br><br>
; [[Hemimean clan #Quintagar|Quintoneum]] (12 &amp; 217)
'''11-limit'''<br>
Comma list: 441/440, 3136/3125, 7168000/7144929<br>
Mapping: [{{val|1 2 0 -3 -5}}, {{val|0 -5 28 70 102}}]<br>
POTE generator: ~35/33 = 99.539<br>
Vals: 12, 205d, 217<br>
Badness: 0.087157<br><br>
'''13-limit'''<br>
Comma list: 364/363, 441/440, 3136/3125, 13720/13689<br>
Mapping: [{{val|1 2 0 -3 -5 -7}}, {{val|0 -5 28 70 102 129}}]<br>
POTE generator: ~35/33 = 99.541<br>
Vals: 12f, 205df, 217<br>
Badness: 0.052361<br><br>
'''17-limit'''<br>
Comma list: 364/363, 441/440, 595/594, 3136/3125, 3757/3750<br>
Mapping: [{{val|1 2 0 -3 -5 -7 5}}, {{val|0 -5 28 70 102 129 -11}}]<br>
POTE generator: ~18/17 = 99.540<br>
Vals: 12f, 205df, 217<br>
Badness: 0.035653<br><br>
'''19-limit'''<br>
Comma list: 364/363, 441/440, 476/475, 595/594, 1216/1215, 3757/3750<br>
Mapping: [{{val|1 2 0 -3 -5 -7 5 4}}, {{val|0 -5 28 70 102 129 -11 3}}]<br>
POTE generator: ~18/17 = 99.541<br>
Vals: 12f, 205df, 217<br>
Badness: 0.025782<br><br>
; [[Hemimean clan #Quintagar|Quintasandra]] (217 &amp; 229)
'''11-limit'''<br>
Comma list: 3136/3125, 19712/19683, 41503/41472<br>
Mapping: [{{val|1 2 0 -3 13}}, {{val|0 -5 28 70 -115}}]<br>
POTE generator: ~200/189 = 99.551<br>
Vals: 12e, 217, 446<br>
Badness: 0.109908<br><br>
'''13-limit'''<br>
Comma list: 2080/2079, 3136/3125, 4096/4095, 19712/19683<br>
Mapping: [{{val|1 2 0 -3 13 11}}, {{val|0 -5 28 70 -115 -88}}]<br>
POTE generator: ~55/52 = 99.548<br>
Vals: 12e, 217, 446, 663c<br>
Badness: 0.067730<br><br>
'''17-limit'''<br>
Comma list: 936/935, 1156/1155, 1377/1375, 3136/3125, 4096/4095<br>
Mapping: [{{val|1 2 0 -3 13 11 5}}, {{val|0 -5 28 70 -115 -88 -11}}]<br>
POTE generator: ~18/17 = 99.548<br>
Vals: 12e, 217, 446, 663c<br>
Badness: 0.038153<br><br>
'''19-limit'''<br>
Comma list: 476/475, 936/935, 1156/1155, 1216/1215, 1377/1375, 1729/1728<br>
Mapping: [{{val|1 2 0 -3 13 11 5 4}}, {{val|0 -5 28 70 -115 -88 -11 3}}]<br>
POTE generator: ~18/17 = 99.547<br>
Vals: 12e, 217, 446, 663ch<br>
Badness: 0.026654<br><br>
; [[Hemimean clan #Quintagar|Quintasandroid]] (12 &amp; 229)
'''11-limit'''<br>
Comma list: 3136/3125, 8019/8000, 15488/15435<br>
Mapping: [{{val|1 2 0 -3 -6}}, {{val|0 -5 28 70 114}}]<br>
POTE generator: ~200/189 = 99.570<br>
Vals: 12, 217e, 229, 470cd, 699cd<br>
Badness: 0.093971<br><br>
'''13-limit'''<br>
Comma list: 351/350, 2080/2079, 3136/3125, 10648/10647<br>
Mapping: [{{val|1 2 0 -3 -6 -8}}, {{val|0 -5 28 70 114 141}}]<br>
POTE generator: ~55/52 = 99.578<br>
Vals: 12f, 217ef, 229, 241, 470cd, 711ccd<br>
Badness: 0.065701<br><br>
'''17-limit'''<br>
Comma list: 351/350, 442/441, 561/560, 3136/3125, 7744/7735<br>
Mapping: [{{val|1 2 0 -3 -6 -8 5}}, {{val|0 -5 28 70 114 141 -11}}]<br>
POTE generator: ~18/17 = 99.574<br>
Vals: 12f, 217ef, 229, 241, 470cd<br>
Badness: 0.046624<br><br>
'''19-limit'''<br>
Comma list: 351/350, 442/441, 476/475, 561/560, 627/625, 6144/6137<br>
Mapping: [{{val|1 2 0 -3 -6 -8 5 4}}, {{val|0 -5 28 70 114 141 -11 3}}]<br>
POTE generator: ~18/17 = 99.575<br>
Vals: 12f, 217ef, 229, 241, 470cd<br>
Badness: 0.033145<br><br>
; [[Hemimean clan #Quintagar|Quintasand]] (12 &amp; 229)
'''13-limit'''<br>
Comma list: 1573/1568, 3136/3125, 4096/4095, 4459/4455<br>
Mapping: [{{val|1 2 0 -3 -6 11}}, {{val|0 -5 28 70 114 -88}}]<br>
POTE generator: ~200/189 = 99.556<br>
Vals: 12, 217e, 229, 446e, 675ceef<br>
Badness: 0.100195<br><br>
'''17-limit'''<br>
Comma list: 561/560, 715/714, 1701/1700, 3136/3125, 4096/4095<br>
Mapping: [{{val|1 2 0 -3 -6 11 5}}, {{val|0 -5 28 70 114 -88 -11}}]<br>
POTE generator: ~18/17 = 99.556<br>
Vals: 12, 217e, 229, 446e, 675ceef<br>
Badness: 0.057851<br><br>
'''19-limit'''<br>
Comma list: 286/285, 476/475, 561/560, 627/625, 1216/1215, 1729/1728<br>
Mapping: [{{val|1 2 0 -3 -6 11 5 4}}, {{val|0 -5 28 70 114 -88 -11 3}}]<br>
POTE generator: ~18/17 = 99.557<br>
Vals: 12, 217e, 229, 446e, 675ceefh<br>
Badness: 0.040410<br><br>
; Semiquindromeda (12 &amp; 422)
'''7-limit'''<br>
Comma list: 102760448/102515625, 1220703125/1219784832<br>
Mapping: [{{val|2 4 0 -5}}, {{val|0 -5 28 64}}]<br>
POTE generator: ~1323/1250 = 99.521<br>
Vals: 12, 398, 410, 422, 832, 1254d, 2086bd<br>
Badness: 0.233140<br><br>
'''11-limit'''<br>
Comma list: 5632/5625, 9801/9800, 85937500/85766121<br>
Mapping: [{{val|2 4 0 -5 -10}}, {{val|0 -5 28 64 102}}]<br>
POTE generator: ~1323/1250 = 99.525<br>
Vals: 12, 410, 422<br>
Badness: 0.093926<br><br>
'''13-limit'''<br>
Comma list: 1716/1715, 2080/2079, 5632/5625, 831875/830466<br>
Mapping: [{{val|2 4 0 -5 -10 -13}}, {{val|0 -5 28 64 102 123}}]<br>
POTE generator: ~1323/1250 = 99.523<br>
Vals: 12f, 410, 422, 1254df, 1676bdff, 2098bcddff<br>
Badness: 0.053361<br><br>
'''17-limit'''<br>
Comma list: 1716/1715, 2080/2079, 2500/2499, 5632/5625, 15895/15876<br>
Mapping: [{{val|2 4 0 -5 -10 -13 10}}, {{val|0 -5 28 64 102 123 -11}}]<br>
POTE generator: ~18/17 = 99.522<br>
Vals: 12f, 410, 422, 832, 1254df, 1676bdff<br>
Badness: 0.034659<br><br>
'''19-limit'''<br>
Comma list: 1216/1215, 1445/1444, 1716/1715, 2080/2079, 2376/2375, 2500/2499<br>
Mapping: [{{val|2 4 0 -5 -10 -13 10 8}}, {{val|0 -5 28 64 102 123 -11 3}}]<br>
POTE generator: ~18/17 = 99.523<br>
Vals: 12f, 410, 422, 1254dfhh, 1676bdffhh<br>
Badness: 0.025439<br><br>


'''<font style="font-size: 1.15em">28 June 2021</font>'''
'''<font style="font-size: 1.15em">26 August 2023</font>'''
; [[Hemimean clan #Quintagar|Quintoneoid]] (12 &amp; 217)
* [[1083/1078|bihendrixma]]: 1083/1078, nonolururu
'''13-limit'''<br>
Comma list: 441/440, 1001/1000, 3136/3125, 59150/59049<br>
Mapping: [{{val|1 2 0 -3 -5 11}}, {{val|0 -5 28 70 102 -88}}]<br>
POTE generator: ~35/33 = 99.537<br>
Vals: 12, 205d, 217<br>
Badness: 0.072826<br><br>
'''17-limit'''<br>
Comma list: 441/440, 595/594, 1001/1000, 2601/2600, 3136/3125<br>
Mapping: [{{val|1 2 0 -3 -5 11 5}}, {{val|0 -5 28 70 102 -88 -11}}]<br>
POTE generator: ~18/17 = 99.537<br>
Vals: 12, 205d, 217<br>
Badness: 0.042339<br><br>
'''19-limit'''<br>
Comma list: 441/440, 476/475, 595/594, 1001/1000, 1216/1215, 2601/2600<br>
Mapping: [{{val|1 2 0 -3 -5 11 5 4}}, {{val|0 -5 28 70 102 -88 -11 3}}]<br>
POTE generator: ~18/17 = 99.537<br>
Vals: 12, 205d, 217<br>
Badness: 0.028983<br><br>


===<font style="font-size: 1.15em">Proposed in July 2021</font>===
'''<font style="font-size: 1.15em">27 August 2023</font>'''
'''<font style="font-size: 1.15em">4 July 2021</font>'''
* [[No-fives subgroup temperaments #Doublehearted|doublehearted comma]]: 5764801/5668704, quadbizo
; [[Minortonic family #Mitonic|Mineral]] (46 &amp; 171)
* [[No-fives subgroup temperaments #Hearts|hearts comma]]: 34451725707/34359738368, trila-quadzo
'''11-limit'''<br>
Comma list: 441/440, 4375/4374, 16384/16335<br>
Mapping: [{{val|1 -1 -3 6 10}}, {{val|0 17 35 -21 -43}}]<br>
POTE generator: ~10/9 = 182.482<br>
Vals: 46, 125e, 171, 217, 605ee, 822dee<br>
Badness: 0.059060<br><br>
'''13-limit'''<br>
Comma list: 364/363, 441/440, 3584/3575, 4375/4374<br>
Mapping: [{{val|1 -1 -3 6 10 11}}, {{val|0 17 35 -21 -43 -48}}]<br>
POTE generator: ~10/9 = 182.481<br>
Vals: 46, 125e, 171, 217, 605ee, 822dee<br>
Badness: 0.033140<br><br>
'''17-limit'''<br>
Comma list: 364/363, 441/440, 595/594, 1156/1155, 3584/3575<br>
Mapping: [{{val|1 -1 -3 6 10 11 5}}, {{val|0 17 35 -21 -43 -48 -6}}]<br>
POTE generator: ~10/9 = 182.481<br>
Vals: 46, 125e, 171, 217, 605ee, 822dee<br>
Badness: 0.019792<br><br>
; [[Minortonic family #Mitonic|Ore]] (46 &amp; 125)
'''11-limit'''<br>
Comma list: 385/384, 1331/1323, 4375/4374<br>
Mapping: [{{val|1 -1 -3 6 3}}, {{val|0 17 35 -21 3}}]<br>
POTE generator: ~10/9 = 182.449<br>
Vals: 46, 125, 171e<br>
Badness: 0.053662<br><br>
'''13-limit'''<br>
Comma list: 352/351, 385/384, 1331/1323, 3267/3250<br>
Mapping: [{{val|1 -1 -3 6 3 11}}, {{val|0 17 35 -21 3 -48}}]<br>
POTE generator: ~10/9 = 182.470<br>
Vals: 46, 125, 171e, 388ee<br>
Badness: 0.046170<br><br>
'''17-limit'''<br>
Comma list: 352/351, 385/384, 561/560, 715/714, 1452/1445<br>
Mapping: [{{val|1 -1 -3 6 3 11 5}}, {{val|0 17 35 -21 3 -48 -6}}]<br>
POTE generator: ~10/9 = 182.471<br>
Vals: 46, 125, 171e, 388ee<br>
Badness: 0.028423<br><br>


'''<font style="font-size: 1.15em">12 July 2021</font>'''
'''<font style="font-size: 1.15em">17 September 2023</font>'''
; [[Schismic-Pythagorean equivalence continuum|Quintaleap]] (12 &amp; 121)
* [[4914/4913|baladisma]]: 4914/4913, trisu-athozo
<font style="font-size: 0.85em">(Name revised from ''Quintupole'' on 9 September 2021)</font><br>
'''5-limit'''<br>
Comma: {{monzo|37 -16 -5}}<br>
Mapping: [{{val|1 2 1}}, {{val|0 -5 16}}]<br>
POTE generator: ~135/128 = 99.267<br>
Vals: 12, 85, 97, 109, 121, 133, 278c, 411bc, 544bc<br>
Badness: 0.444506<br><br>
; [[Octagar temperaments #Quintupole|Quintupole]] (12 &amp; 121)
'''7-limit'''<br>
Comma list: 4000/3969, 458752/455625<br>
Mapping: [{{val|1 2 1 0}}, {{val|0 -5 16 34}}]<br>
POTE generator: ~135/128 = 99.175<br>
Vals: 12, 97, 109, 121<br>
Badness: 0.111620<br><br>
'''11-limit'''<br>
Comma list: 896/891, 1375/1372, 4375/4356<br>
Mapping: [{{val|1 2 1 0 -1}}, {{val|0 -5 16 34 54}}]<br>
POTE generator: ~132/125 = 99.156<br>
Vals: 12, 109, 121, 351bde, 472bdee<br>
Badness: 0.056501<br><br>
'''13-limit'''<br>
Comma list: 352/351, 364/363, 625/624, 2704/2695<br>
Mapping: [{{val|1 2 1 0 -1 -2}}, {{val|0 -5 16 34 54 69}}]<br>
POTE generator: ~55/52 = 99.165<br>
Vals: 12f, 109, 121<br>
Badness: 0.038431<br><br>
'''17-limit'''<br>
Comma list: 256/255, 352/351, 364/363, 375/374, 442/441<br>
Mapping: [{{val|1 2 1 0 -1 -2 5}}, {{val|0 -5 16 34 54 69 -11}}]<br>
POTE generator: ~18/17 = 99.172<br>
Vals: 12f, 109, 121<br>
Badness: 0.028721<br><br>
'''19-limit'''<br>
Comma list: 190/189, 256/255, 352/351, 361/360, 364/363, 375/374<br>
Mapping: [{{val|1 2 1 0 -1 -2 5 4}}, {{val|0 -5 16 34 54 69 -11 3}}]<br>
POTE generator: ~18/17 = 99.164<br>
Vals: 12f, 109, 121<br>
Badness: 0.023818<br><br>


'''<font style="font-size: 1.15em">17 July 2021</font>'''
'''<font style="font-size: 1.15em">5 November 2023</font>'''
; [[Hemifamity temperaments #Quinticosiennic|Quinticosiennic]] (12 &amp; 145)
* [[969/968|buddhisma]]: 969/968, nosolulu (→ kingfisher comma)
'''7-limit'''<br>
* [[1331/1330|solvejgsma]]: 1331/1330, nutrilo-arugu
Comma list: 5120/5103, 395136/390625<br>
* [[1540/1539|kevolisma]]: 1540/1539, nulozoyo
Mapping: [{{val|1 2 1 -1}}, {{val|0 -5 16 46}}]<br>
* [[2376/2375|trichthonisma]]: 2376/2375, nulotrigu
POTE generator: ~135/128 = 99.345<br>
* [[2926/2925|neovulturisma]]: 2926/2925, nothulozogugu
Vals: 12, 133, 145, 157, 302c, 459bcc<br>
* [[3136/3135|neomirkwaisma]]: 3136/3135, nuluzozogu
Badness: 0.158041<br><br>
* [[3250/3249|martebisma]]: 3250/3249, nunuthotriyo
'''11-limit'''<br>
* [[4200/4199|neosatanisma]]: 4200/4199, nusuthuzoyoyo
Comma list: 441/440, 896/891, 78408/78125<br>
* [[5776/5775|neovishma]]: 5776/5775, nonolurugugu
Mapping: [{{val|1 2 1 -1 -2}}, {{val|0 -5 16 46 66}}]<br>
* [[5985/5984|neogrendelisma]]: 5985/5984, nosuluzoyo
POTE generator: ~35/33 = 99.318<br>
* [[6175/6174|neonewtisma]]: 6175/6174, nothotriru-ayoyo
Vals: 12, 133, 145<br>
Badness: 0.080674<br><br>
'''13-limit'''<br>
Comma list: 196/195, 352/351, 364/363, 78408/78125<br>
Mapping: [{{val|1 2 1 -1 -2 -3}}, {{val|0 -5 16 46 66 81}}]<br>
POTE generator: ~35/33 = 99.307<br>
Vals: 12f, 133, 145<br>
Badness: 0.052464<br><br>
'''17-limit'''<br>
Comma list: 196/195, 256/255, 352/351, 364/363, 3757/3750<br>
Mapping: [{{val|1 2 1 -1 -2 -3 5}}, {{val|0 -5 16 46 66 81 -11}}]<br>
POTE generator: ~18/17 = 99.308<br>
Vals: 12f, 133, 145<br>
Badness: 0.037108<br><br>
'''19-limit'''<br>
Comma list: 196/195, 256/255, 352/351, 361/360, 364/363, 476/475<br>
Mapping: [{{val|1 2 1 -1 -2 -3 5 4}}, {{val|0 -5 16 46 66 81 -11 3}}]<br>
POTE generator: ~18/17 = 99.303<br>
Vals: 12f, 133, 145<br>
Badness: 0.028440<br><br>
; [[Marvel temperaments #Quintapole|Quintapole]] (12 &amp; 85)
'''7-limit'''<br>
Comma list: 225/224, 7812500/7411887<br>
Mapping: [{{val|1 2 1 1}}, {{val|0 -5 16 22}}]<br>
POTE generator: ~21/20 = 98.994<br>
Vals: 12, 73c, 85, 97d<br>
Badness: 0.192498<br><br>
'''11-limit'''<br>
Comma list: 100/99, 225/224, 85184/84035<br>
Mapping: [{{val|1 2 1 1 0}}, {{val|0 -5 16 22 42}}]<br>
POTE generator: ~21/20 = 98.954<br>
Vals: 12, 73ce, 85, 97d<br>
Badness: 0.104353<br><br>


'''<font style="font-size: 1.15em">18 July 2021</font>'''
'''<font style="font-size: 1.15em">12 November 2023</font>'''
; [[Mirkwai clan #Hemiseptisix|Hemiseptisix]] (103 &amp; 121)
* [[460/459|scanisma]]: 460/459, twethosuyo
'''7-limit'''<br>
* [[484/483|pittsburghisma]]: 484/483, twethuloloru
Comma list: 16875/16807, 95703125/95551488<br>
* [[507/506|laodicisma]]: 507/506, twethuthotholu
Mapping: [{{val|1 -19 -7 -17}}, {{val|0 53 24 51}}]<br>
* [[529/528|preziosisma]]: 529/528, bitwetho-alu
POTE generator: ~98/75 = 466.071<br>
* [[736/735|harvardisma]]: 736/735, twethorurugu
Vals: 18, 103, 121, 224<br>
* [[760/759|squadronisma]]: 760/759, twethunoluyo
Badness: 0.162826<br><br>
* [[875/874|nymphisma]]: 875/874, twethunuzotriyo
'''11-limit'''<br>
* [[897/896|lysistratisma]]: 897/896, twethothoru
Comma list: 540/539, 1375/1372, 2734375/2725888<br>
* [[1105/1104|fragarisma]]: 1105/1104, twethusothoyo
Mapping: [{{val|1 -19 -7 -17 -28}}, {{val|0 53 24 51 81}}]<br>
* [[1197/1196|rhodesisma]]: 1197/1196, twethunothuzo
POTE generator: ~55/42 = 466.070<br>
* [[1288/1287|santisma]]: 1288/1287, twethothuluzo
Vals: 103, 121, 224<br>
* [[1496/1495|turkisma]]: 1496/1495, twethusothulogu
Badness: 0.043381<br><br>
* [[1863/1862|antinousisma]]: 1863/1862, twethonururu
'''13-limit'''<br>
* [[2024/2023|insincere comma]]: 2024/2023, twethosusuloru
Comma list: 540/539, 625/624, 1375/1372, 2200/2197<br>
* <s>[[2025/2024|fokkerisma]]</s>: 2025/2024, latwethuluyoyo (→ cupcakesma, cupcake comma)
Mapping: [{{val|1 -19 -7 -17 -28 -13}}, {{val|0 53 24 51 81 43}}]<br>
* [[2185/2184|guangdongisma]]: 2185/2184, twethonothuruyo
POTE generator: ~55/42 = 466.071<br>
* [[2300/2299|travellisma]]: 2300/2299, twethonubiluyo
Vals: 103, 121, 224<br>
* [[2646/2645|biyativice comma]]: 2646/2645, bitwethuzo-agu
Badness: 0.021127<br><br>
* [[2737/2736|kotkisma]]: 2737/2736, twethonusozo
* [[3060/3059|vicious comma]]: 3060/3059, twethunusoruyo
* [[3381/3380|seminaiadvice comma]]: 3381/3380, twethobithuzo-agu (→ mikkolisma)
* [[3520/3519|vicedim comma]]: 3520/3519, twethusuloyo
* [[3888/3887|vicetride comma]]: 3888/3887, twethuthuthu
* [[4693/4692|viceaug comma]]: 4693/4692, twethunonosutho
* [[4761/4760|demiquartervice comma]]: 4761/4760, bitwetho-asurugu
* [[vicetertisma]]: 12168/12167, tritwethu-athotho


===<font style="font-size: 1.15em">Proposed in August 2021</font>===
'''<font style="font-size: 1.15em">13 November 2023</font>'''
'''<font style="font-size: 1.15em">2 August 2021</font>'''
* [[208/207|vicetone comma]]: 208/207, twethutho
; [[Minortonic family #Mitonic|Goldmine]] (46 &amp; 79)
* [[231/230|major neutravicema]]: 231/230, twethulozogu
'''13-limit'''<br>
* [[253/252|middle neutravicema]]: 253/252, twetholoru
Comma list: 169/168, 325/324, 385/384, 1331/1323<br>
* [[276/275|minor neutravicema]]: 276/275, twetholugugu
Mapping: [{{val|1 -1 -3 6 3 4}}, {{val|0 17 35 -21 3 -2}}]<br>
* [[300/299|major naiadvicema]]: 300/299, twethuthuyoyo
POTE generator: ~10/9 = 182.437<br>
* [[323/322|major semivicema]]: 323/322, twethunosoru
Vals: 46, 79, 125f, 171ef, 296eff<br>
* [[391/390|minor naiadvicema]]: 391/390, twethosothugu
Badness: 0.039302<br><br>
* [[392/391|minor semivicema]]: 392/391, twethusuzozo
'''17-limit'''<br>
* [[460/459|vicewolf comma]]: 460/459, twethosuyo
Comma list: 169/168, 273/272, 325/324, 385/384, 1331/1323<br>
* [[5083/5082|broadviewsma]]: 5083/5082, twethosotholuluru
Mapping: [{{val|1 -1 -3 6 3 4 5}}, {{val|0 17 35 -21 3 -2 -6}}]<br>
POTE generator: ~10/9 = 182.444<br>
Vals: 46, 125f, 171ef<br>
Badness: 0.027440<br><br>


'''<font style="font-size: 1.15em">8 August 2021</font>'''
'''<font style="font-size: 1.15em">15 November 2023</font>'''
; [[Counterpyth family #Gamelapyth|Gamelapyth]] (41 &amp; 164)
* [[92/91|undinisma]]: 92/91, twethothuru
'''7-limit'''<br>
* [[115/114|yarmanisma]]: 115/114, twethonuyo
Comma list: 1029/1024, 537824/531441<br>
Mapping: [{{val|41 65 0 115}}, {{val|0 0 1 0}}]<br>
POTE generator: ~5/4 = 385.731<br>
Vals: 41, 123, 164, 205d, 246d, 451dd<br>
Badness: 0.161056<br><br>
'''11-limit'''<br>
Comma list: 385/384, 441/440, 537824/531441<br>
Mapping: [{{val|41 65 0 115 237}}, {{val|0 0 1 0 -1}}]<br>
POTE generator: ~5/4 = 385.871<br>
Vals: 41, 123e, 164, 205d, 451dd<br>
Badness: 0.076537<br><br>
; [[Counterpyth family #Mermapyth|Mermapyth]] (41 &amp; 205)
'''7-limit'''<br>
Comma list: 5120/5103, 2500000/2470629<br>
Mapping: [{{val|41 65 0 20}}, {{val|0 0 1 1}}]<br>
POTE generator: ~5/4 = 385.667<br>
Vals: 41, 123d, 164d, 205, 246, 451d, 697dd<br>
Badness: 0.142344<br><br>
'''11-limit'''<br>
Comma list: 540/539, 5120/5103, 75625/75264<br>
Mapping: [{{val|41 65 0 20 237}}, {{val|0 0 1 1 -1}}]<br>
POTE generator: ~5/4 = 385.309<br>
Vals: 41, 164d, 205, 246<br>
Badness: 0.076588<br><br>


'''<font style="font-size: 1.15em">13 August 2021</font>'''
'''<font style="font-size: 1.15em">26 November 2023</font>'''
; [[Hemfiness temperaments #Undesemi|Undesemi]] (15 &amp; 224)
* [[E-shaped comma]]: 31213/31212, susuthoquadzo
'''7-limit'''<br>
Comma list: 4096000/4084101, 95703125/95551488<br>
Mapping: [{{val|1 5 5 1}}, {{val|0 -51 -40 27}}]<br>
POTE generator: ~8575/8192 = 80.347<br>
Vals: 15, 194, 209, 224, 463, 687, 1150d<br>
Badness: 0.178777<br><br>
'''11-limit'''<br>
Comma list: 3025/3024, 4000/3993, 180224/180075<br>
Mapping: [{{val|1 5 5 1 5}}, {{val|0 -51 -40 27 -23}}]<br>
POTE generator: ~22/21 = 80.347<br>
Vals: 15, 194, 209, 224, 463, 1150de<br>
Badness: 0.042318<br><br>
; [[Hemimean clan #Decipentic|Decipentic]] (43 &amp; 56)
'''7-limit'''<br>
Comma list: 3136/3125, 2097152/2083725<br>
Mapping: [{{val| 1 6 0 -3 }}, {{val| 0 -19 10 25 }}]<br>
POTE generator: ~75/64 = 278.800<br>
Vals: 13, 43, 56, 99<br>
Badness: 0.087325<br><br>
'''11-limit'''<br>
Comma list: 441/440, 1344/1331, 3136/3125<br>
Mapping: [{{val| 1 6 0 -3 3 }}, {{val| 0 -19 10 25 2 }}]<br>
POTE generator: ~75/64 = 278.799<br>
Vals: 13, 43, 56, 99e<br>
Badness: 0.061413<br><br>
'''13-limit'''<br>
Comma list: 169/168, 441/440, 832/825, 975/968<br>
Mapping: [{{val| 1 6 0 -3 3 3 }}, {{val| 0 -19 10 25 2 3 }}]<br>
POTE generator: ~13/11 = 278.802<br>
Vals: 13, 43, 56, 99e<br>
Badness: 0.047611<br><br>
'''17-limit'''<br>
Comma list: 169/168, 221/220, 256/255, 273/272, 375/374<br>
Mapping: [{{val| 1 6 0 -3 3 3 2 }}, {{val| 0 -19 10 25 2 3 9 }}]<br>
POTE generator: ~13/11 = 278.798<br>
Vals: 13, 43, 56, 99e<br>
Badness: 0.031191<br><br>
'''19-limit'''<br>
Comma list: 169/168, 210/209, 221/220, 256/255, 273/272, 286/285<br>
Mapping: [{{val| 1 6 0 -3 3 3 2 1 }}, {{val| 0 -19 10 25 2 3 9 14 }}]<br>
POTE generator: ~13/11 = 278.790<br>
Vals: 13, 43, 56, 99e<br>
Badness: 0.023899<br><br>
; [[Hemimean clan #Decipentic|Quasijerome]] (43 &amp; 198)
'''11-limit'''<br>
Comma list: 3136/3125, 15488/15435, 16384/16335<br>
Mapping: [{{val| 1 6 0 -3 3 }}, {{val| 0 -38 20 50 47 }}]<br>
POTE generator: ~896/825 = 139.403<br>
Vals: 43, 112, 155, 198, 439cd, 637cd<br>
Badness: 0.092996<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 3136/3125, 15488/15435<br>
Mapping: [{{val| 1 6 0 -3 3 8 }}, {{val| 0 -38 20 50 47 -37 }}]<br>
POTE generator: ~13/12 = 139.403<br>
Vals: 43, 155, 198, 439cdf, 637cdf<br>
Badness: 0.044328<br><br>


'''<font style="font-size: 1.15em">14 August 2021</font>'''
'''<font style="font-size: 1.15em">1 December 2023</font>'''
; [[Mirkwai clan #Septendesemi|Septendesemi]] (80 &amp; 103)
* <s>[[kilobyte comma]]</s>: 1024/1023, thiwulu (→ kibisma)
'''7-limit'''<br>
* <s>[[megabyte comma]]</s>: 1048576/1048575, safowuthiwulugugu (→ mebisma)
Comma list: 16875/16807, 1959552/1953125<br>
Mapping: [{{val|1 -2 -1 -2}}, {{val|0 41 38 55}}]<br>
POTE generator: ~343/324 = 104.916<br>
Vals: 80, 103, 183<br>
Badness: 0.146795<br><br>
'''11-limit'''<br>
Comma list: 540/539, 1375/1372, 43923/43750<br>
Mapping: [{{val|1 -2 -1 -2 -1}}, {{val|0 41 38 55 51}}]<br>
POTE generator: ~35/33 = 104.916<br>
Vals: 80, 103, 183<br>
Badness: 0.041554<br><br>
'''13-limit'''<br>
Comma list: 351/350, 540/539, 1375/1372, 4225/4224<br>
Mapping: [{{val|1 -2 -1 -2 -1 3}}, {{val|0 41 38 55 51 8}}]<br>
POTE generator: ~35/33 = 104.908<br>
Vals: 80, 103, 183, 469f, 652def<br>
Badness: 0.027908<br><br>
'''17-limit'''<br>
Comma list: 351/350, 540/539, 561/560, 715/714, 4225/4224<br>
Mapping: [{{val|1 -2 -1 -2 -1 3 4}}, {{val|0 41 38 55 51 8 1}}]<br>
POTE generator: ~17/16 = 104.909<br>
Vals: 80, 103, 183, 469f, 652def<br>
Badness: 0.020128<br><br>


'''<font style="font-size: 1.15em">15 August 2021</font>'''
'''<font style="font-size: 1.15em">10 December 2023</font>'''
; [[Wizmic microtemperaments #Witch|Witch]] (99 &amp; 265)
* [[81/76|dog comma]]: 81/76, inu
'''7-limit'''<br>
* [[primate comma]]: 16384/15309, saru
Comma list: 420175/419904, 1600000/1594323<br>
Mapping: [{{val|1 -7 -20 -2}}, {{val|0 25 65 14}}]<br>
POTE generator: ~80/63 = 412.098<br>
Vals: 99, 265, 364, 463, 562, 1025<br>
Badness: 0.080608<br><br>
; [[Wizmic microtemperaments #Witch|Semiwitch]] (166 &amp; 198)
'''11-limit'''<br>
Comma list: 9801/9800, 41503/41472, 585640/583443<br>
Mapping: [{{val|2 11 25 10 16}}, {{val|0 -25 -65 -14 -29}}]<br>
POTE generator: ~49/44 = 187.904<br>
Vals: 166, 198, 364, 562, 926, 1488bd, 2414bdd<br>
Badness: 0.088189<br><br>
'''13-limit'''<br>
Comma list: 1716/1715, 2080/2079, 2200/2197, 17303/17280<br>
Mapping: [{{val|2 11 25 10 16 24}}, {{val|0 -25 -65 -14 -29 -53}}]<br>
POTE generator: ~39/35 = 187.904<br>
Vals: 166, 198, 364, 562, 926<br>
Badness: 0.038009<br><br>
; [[Wizmic microtemperaments #Witch|Hitch]] (198 &amp; 463)
'''11-limit'''<br>
Comma list: 3025/3024, 117649/117612, 1600000/1594323<br>
Mapping: [{{val|1 18 45 12 -10}}, {{val|0 -50 -130 -28 41}}]<br>
POTE generator: ~1120/891 = 393.950<br>
Vals: 198, 463, 661, 1124bde<br>
Badness: 0.093482<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1716/1715, 3025/3024, 1600000/1594323<br>
Mapping: [{{val|1 18 45 12 -10 71}}, {{val|0 -50 -130 -28 41 -205}}]<br>
POTE generator: ~1120/891 = 393.948<br>
Vals: 198, 463, 661<br>
Badness: 0.060716<br><br>
; [[Wizmic microtemperaments #Witch|Hitcher]] (198 &amp; 265)
'''13-limit'''<br>
Comma list: 2080/2079, 3025/3024, 13720/13689, 28672/28561<br>
Mapping: [{{val|1 18 45 12 -10 6}}, {{val|0 -50 -130 -28 41 -7}}]<br>
POTE generator: ~49/39 = 393.949<br>
Vals: 198, 463f, 661ff<br>
Badness: 0.059591<br><br>


'''<font style="font-size: 1.15em">16 August 2021</font>'''
'''<font style="font-size: 1.15em">23 December 2023</font>'''
; [[Semicomma family #Quinwell|Quinwell]] (22 &amp; 243)
* [[841/840|arabellisma]]: 841/840, bitweno-arugu
'''7-limit'''<br>
* [[4901/4900|large grapevine comma]]: 4901/4900, twenothothobirugu, twenobithorugu
Comma list: 420175/419904, 2109375/2097152<br>
* [[6877/6875|grossvice comma]]: 6877/6875, bitwetho-atholuquadgu
Mapping: [{{val| 1 0 3 0 }}, {{val| 0 35 -15 62 }}]<br>
* [[7425/7424|small grapevine comma]]: 7425/7424, latwenuloyoyo
POTE generator: ~405/392 = 54.324<br>
* [[mynucuvine comma]]: 10935/10933, labitwenu-athuyo
Vals: 22, 221, 243, 751c, 994cd, 1237bccd, 1480bccd<br>
Badness: 0.168897<br><br>
'''11-limit'''<br>
Comma list: 540/539, 4375/4356, 2109375/2097152<br>
Mapping: [{{val| 1 0 3 0 5 }}, {{val| 0 35 -15 62 -34 }}]<br>
POTE generator: ~33/32 = 54.334<br>
Vals: 22, 221, 243, 265, 773ce, 1038ccee, 1303ccee<br>
Badness: 0.097202<br><br>


'''<font style="font-size: 1.15em">17 August 2021</font>'''
===<font style="font-size: 1.15em">Proposed in 2024</font>===
; [[Schismatic family #Septiquarschis|Septiquarschis]] (89 &amp; 94)
'''<font style="font-size: 1.15em">2 January 2024</font>'''
'''7-limit'''<br>
* [[slendrisma]]: 68719476736/68641485507, sasa-quinbiru
Comma list: 32805/32768, 829440/823543<br>
Mapping: [{{val| 1 3 -9 2 }}, {{val| 0 -7 -56 4 }}]<br>
POTE generator: ~147/128 = 242.614<br>
Vals: 89, 94, 183, 460d, 643d, 1103dd<br>
Badness: 0.187047<br><br>
'''11-limit'''<br>
Comma list: 540/539, 15488/15435, 32805/32768<br>
Mapping: [{{val| 1 3 -9 2 -2 }}, {{val| 0 -7 -56 4 27 }}]<br>
POTE generator: ~147/128 = 242.616<br>
Vals: 89, 94, 183, 460d, 643d, 826dd<br>
Badness: 0.052002<br><br>
'''13-limit'''<br>
Comma list: 540/539, 729/728, 1573/1568, 4096/4095<br>
Mapping: [{{val| 1 3 -9 2 -2 13 }}, {{val| 0 -7 -56 4 27 -46 }}]<br>
POTE generator: ~147/128 = 242.610<br>
Vals: 89, 94, 183, 277, 460d<br>
Badness: 0.035315<br><br>


'''<font style="font-size: 1.15em">21 August 2021</font>'''
'''<font style="font-size: 1.15em">27 January 2024</font>'''
; [[Semicomma family #Quinbetter|Quinbetter]] (22 &amp; 221e)
* [[116/115|sironisma]]: 116/115, twenotwethugu
'''11-limit'''<br>
* [[117/116|lomisma]]: 117/116, twenutho
Comma list: 385/384, 24057/24010, 43923/43750<br>
* [[175/174|major chthonovinema]]: 175/174, twenuzoyoyo
Mapping: [{{val| 1 0 3 0 4 }}, {{val| 0 35 -15 62 -12 }}]<br>
* [[204/203|kallistisma]]: 204/203, twenusoru
POTE generator: ~405/392 = 54.316<br>
* [[232/231|major paravinema]]: 232/231, twenoluru
Vals: 22, 199d, 221e, 243e<br>
* [[261/260|major vinetonema]]: 261/260, twenothugu
Badness: 0.078657<br><br>
* [[290/289|brunisma]]: 290/289, twenosusuyo
* [[320/319|minor paravinema]]: 320/319, twenuluyo
* [[378/377|major semivinema]]: 378/377, twenuthuzo
* [[406/405|minor semivinema]]: 406/405, twenozogu
* [[494/493|minor vinetonema]]: 494/493, twenunosutho
* [[551/550|minor chthonovinema]]: 551/550, twenonolugugu
* [[609/608|vineyard comma]]: 609/608, twenonuzo


'''<font style="font-size: 1.15em">22 August 2021</font>'''
'''<font style="font-size: 1.15em">3 May 2024</font>'''
; [[Archytas clan #Ultrapyth|Counterultrapyth]] (5e &amp; 37)
* [[729/722|undevicesimal diaschisma]]: 729/722, lanunu
'''11-limit'''<br>
Comma list: 64/63, 100/99, 3773/3645<br>
Mapping: [{{val| 1 0 -20 6 -38 }}, {{val| 0 1 14 -2 26 }}]<br>
POTE generator: ~3/2 = 713.791<br>
Vals: 5e, 32e, 37, 79bce, 116bbce<br>
Badness: 0.078068<br><br>
'''13-limit'''<br>
Comma list: 64/63, 91/90, 100/99, 847/845<br>
Mapping: [{{val| 1 0 -20 6 -38 -25 }}, {{val| 0 1 14 -2 26 18 }}]<br>
POTE generator: ~3/2 = 713.811<br>
Vals: 5e, 32e, 37, 79bcef, 116bbcef<br>
Badness: 0.045653<br><br>


'''<font style="font-size: 1.15em">28 August 2021</font>'''
'''<font style="font-size: 1.15em">1 June 2024</font>'''
; [[Hemimean clan #Mowglic|Mowglic]] (19 &amp; 161)
* [[unisquarisma]]: 12005/11979, trilu-aquadzo-ayo
'''7-limit'''<br>
Comma list: 3136/3125, 177147/175000<br>
Mapping: [{{val| 1 0 0 -3 }}, {{val| 0 15 22 55 }}]<br>
POTE generator: ~27/25 = 126.706<br>
Vals: 19, 123d, 142, 161<br>
Badness: 0.129915<br><br>
'''11-limit'''<br>
Comma list: 540/539, 3136/3125, 72171/71680<br>
Mapping: [{{val| 1 0 0 -3 8 }}, {{val| 0 15 22 55 -43 }}]<br>
POTE generator: ~27/25 = 126.711<br>
Vals: 19, 123de, 142, 161<br>
Badness: 0.094032<br><br>
'''13-limit'''<br>
Comma list: 351/350, 540/539, 1701/1690, 3136/3125<br>
Mapping: [{{val| 1 0 0 -3 8 -2 }}, {{val| 0 15 22 55 -43 54 }}]<br>
POTE generator: ~14/13 = 126.705<br>
Vals: 19, 123def, 142f, 161<br>
Badness: 0.051571<br><br>
'''17-limit'''<br>
Comma list: 351/350, 540/539, 833/832, 1701/1690, 3136/3125<br>
Mapping: [{{val| 1 0 0 -3 8 -2 10 }}, {{val| 0 15 22 55 -43 54 -56 }}]<br>
POTE generator: ~14/13 = 126.703<br>
Vals: 19, 123defg, 142f, 161<br>
Badness: 0.041918<br><br>
'''19-limit'''<br>
Comma list: 351/350, 476/475, 495/494, 513/512, 540/539, 1701/1690<br>
Mapping: [{{val| 1 0 0 -3 8 -2 10 9 }}, {{val| 0 15 22 55 -43 54 -56 -45 }}]<br>
POTE generator: ~14/13 = 126.705<br>
Vals: 19, 123defg, 142f, 161<br>
Badness: 0.032168<br><br>
'''23-limit'''<br>
Comma list: 276/275, 351/350, 476/475, 495/494, 513/512, 529/528, 540/539<br>
Mapping: [{{val| 1 0 0 -3 8 -2 10 9 6 }}, {{val| 0 15 22 55 -43 54 -56 -45 -14 }}]<br>
POTE generator: ~14/13 = 126.703<br>
Vals: 19, 123defg, 142f, 161<br>
Badness: 0.026117<br><br>
'''29-limit'''<br>
Comma list: 261/260, 276/275, 351/350, 476/475, 495/494, 513/512, 529/528, 540/539<br>
Mapping: [{{val| 1 0 0 -3 8 -2 10 9 6 0 }}, {{val| 0 15 22 55 -43 54 -56 -45 -14 46 }}]<br>
POTE generator: ~14/13 = 126.704<br>
Vals: 19, 123defg, 142f, 161<br>
Badness: 0.021398<br><br>
'''31-limit'''<br>
Comma list: 261/260, 276/275, 351/350, 435/434, 476/475, 495/494, 513/512, 529/528, 540/539<br>
Mapping: [{{val| 1 0 0 -3 8 -2 10 9 6 0 2 }}, {{val| 0 15 22 55 -43 54 -56 -45 -14 46 28 }}]<br>
POTE generator: ~14/13 = 126.703<br>
Vals: 19, 123defgk, 142fk, 161<br>
Badness: 0.019331<br><br>


===<font style="font-size: 1.15em">Proposed in September 2021</font>===
'''<font style="font-size: 1.15em">22 December 2024</font>'''
'''<font style="font-size: 1.15em">4 September 2021</font>'''
* [[429/425|middle semisixthma]]: 429/425, suthologugu
; [[Schismatic family #Term|Terminator]] (171 &amp; 183)
* [[507/500|large semisixthma]]: 507/500, thothotrigu
'''11-limit'''<br>
* [[1452/1445|small semisixthma]]: 1452/1445, susulologu
Comma list: 540/539, 32805/32768, 137781/137500<br>
* [[semisixthmisma]]: 63888/63869, trisu-athutrilo
Mapping: [{{val|3 5 5 4 18}}, {{val|0 -1 8 18 -31}}]<br>
POTE generator: ~1323/1250 = 98.315<br>
Vals: 12e, 159e, 171, 183, 354, 537, 891de<br>
Badness: 0.066968<br><br>
'''13-limit'''<br>
Comma list: 540/539, 729/728, 4096/4095, 31250/31213<br>
Mapping: [{{val|3 5 5 4 18 17}}, {{val|0 -1 8 18 -31 -24}}]<br>
POTE generator: ~55/52 = 98.311<br>
Vals: 171, 183, 354, 891de, 1245dee, 1599ddee<br>
Badness: 0.035487<br><br>
'''17-limit'''<br>
Comma list: 540/539, 729/728, 936/935, 1156/1155, 4096/4095<br>
Mapping: [{{val|3 5 5 4 18 17 13}}, {{val|0 -1 8 18 -31 -24 -3}}]<br>
POTE generator: ~18/17 = 98.312<br>
Vals: 171, 183, 354, 891de, 1245dee, 1599ddee<br>
Badness: 0.020434<br><br>


'''<font style="font-size: 1.15em">6 September 2021</font>'''
===<font style="font-size: 1.15em">Proposed in 2025</font>===
; [[Schismatic family #Quintaschis|Quintaschis]] (12 &amp; 289)
'''<font style="font-size: 1.15em">20 March 2025</font>'''
'''7-limit'''<br>
* [[6860/6859|devicubisma]]: 6860/6859, trinuzo-ayo
Comma list: 32805/32768, 49009212/48828125<br>
* [[tricecubisma]]: 29792/29791, trithiwu-anozozo
Mapping: [{{val|1 2 -1 -5}}, {{val|0 -5 40 94}}]<br>
POTE generator: ~200/189 = 99.664<br>
Vals: 12, 277d, 289<br>
Badness: 0.132890<br><br>
'''11-limit'''<br>
Comma list: 441/440, 32805/32768, 1953125/1951488<br>
Mapping: [{{val|1 2 -1 -5 -8}}, {{val|0 -5 40 94 138}}]<br>
POTE generator: ~35/33 = 99.653<br>
Vals: 12, 277d, 289<br>
Badness: 0.111477<br><br>
'''13-limit'''<br>
Comma list: 364/363, 441/440, 32805/32768, 109512/109375<br>
Mapping: [{{val|1 2 -1 -5 -8 -11}}, {{val|0 -5 40 94 138 177}}]<br>
POTE generator: ~35/33 = 99.658<br>
Vals: 12f, 277df, 289<br>
Badness: 0.074218<br><br>
'''17-limit'''<br>
Comma list: 364/363, 441/440, 595/594, 3757/3750, 32805/32768<br>
Mapping: [{{val|1 2 -1 -5 -8 -11 5}}, {{val|0 -5 40 94 138 177 -11}}]<br>
POTE generator: ~18/17 = 99.656<br>
Vals: 12f, 277df, 289<br>
Badness: 0.050571<br><br>
'''19-limit'''<br>
Comma list: 364/363, 441/440, 476/475, 595/594, 3757/3750, 6885/6859<br>
Mapping: [{{val|1 2 -1 -5 -8 -11 5 4}}, {{val|0 -5 40 94 138 177 -11 3}}]<br>
POTE generator: ~18/17 = 99.659<br>
Vals: 12f, 277df, 289<br>
Badness: 0.042120<br><br>
; [[Schismatic family #Quintaschis|Quintahelenic]] (12 &amp; 301)
'''11-limit'''<br>
Comma list: 5632/5625, 8019/8000, 151263/151250<br>
Mapping: [{{val|1 2 -1 -5 -9}}, {{val|0 -5 40 94 150}}]<br>
POTE generator: ~200/189 = 99.671<br>
Vals: 12, 289e, 301, 915, 1216ce<br>
Badness: 0.082225<br><br>
'''13-limit'''<br>
Comma list: 847/845, 1716/1715, 5632/5625, 8019/8000<br>
Mapping: [{{val|1 2 -1 -5 -9 -11}}, {{val|0 -5 40 94 150 177}}]<br>
POTE generator: ~200/189 = 99.661<br>
Vals: 12f, 289e, 301<br>
Badness: 0.055570<br><br>
'''17-limit'''<br>
Comma list: 561/560, 833/832, 847/845, 1701/1700, 3757/3750<br>
Mapping: [{{val|1 2 -1 -5 -9 -11 5}}, {{val|0 -5 40 94 150 177 -11}}]<br>
POTE generator: ~18/17 = 99.665<br>
Vals: 12f, 289e, 301<br>
Badness: 0.040412<br><br>
'''19-limit'''<br>
Comma list: 476/475, 495/494, 561/560, 833/832, 847/845, 1701/1700<br>
Mapping: [{{val|1 2 -1 -5 -9 -11 5 4}}, {{val|0 -5 40 94 150 177 -11 3}}]<br>
POTE generator: ~18/17 = 99.668<br>
Vals: 12f, 289e, 301<br>
Badness: 0.036840<br><br>
; [[Schismatic family #Quintaschis|Quintahelenoid]] (12 &amp; 301)
'''13-limit'''<br>
Comma list: 729/728, 1001/1000, 4096/4095, 86515/86436<br>
Mapping: [{{val|1 2 -1 -5 -9 14}}, {{val|0 -5 40 94 150 -124}}]<br>
POTE generator: ~200/189 = 99.672<br>
Vals: 12, 301, 614, 915<br>
Badness: 0.066108<br><br>
'''17-limit'''<br>
Comma list: 561/560, 729/728, 1001/1000, 4096/4095, 14161/14157<br>
Mapping: [{{val|1 2 -1 -5 -9 14 5}}, {{val|0 -5 40 94 150 -124 -11}}]<br>
POTE generator: ~18/17 = 99.671<br>
Vals: 12, 301, 915gg, 1216cegg<br>
Badness: 0.047908<br><br>
'''19-limit'''<br>
Comma list: 476/475, 561/560, 729/728, 1001/1000, 4096/4095, 6144/6137<br>
Mapping: [{{val|1 2 -1 -5 -9 14 5 4}}, {{val|0 -5 40 94 150 -124 -11 3}}]<br>
POTE generator: ~18/17 = 99.672<br>
Vals: 12, 301, 614gh, 915gghh<br>
Badness: 0.039542<br><br>


'''<font style="font-size: 1.15em">11 September 2021</font>'''
'''<font style="font-size: 1.15em">21 March 2025</font>'''
; [[Würschmidt family #Hemiwürschmidt|Semihemiwür]] (68 &amp; 130)
* [[8625/8624|beerglass comma]]: 8625/8624, twetholururutriyo
<font style="font-size: 0.85em">(''Proposed name for disambiguation of hemiwürschmidt extension'')</font><br>
* [[10626/10625|demiglace comma]]: 10626/10625, twethosulozoquadgu
'''11-limit'''<br>
Comma list: 2401/2400, 3136/3125, 9801/9800<br>
Mapping: [{{val|2 14 6 9 -10}}, {{val|0 -16 -2 -5 25}}]<br>
POTE generator: ~28/25 = 193.902<br>
Vals: 62e, 68, 130, 198, 328<br>
Badness: 0.044848<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 1716/1715, 3136/3125<br>
Mapping: [{{val|2 14 6 9 -10 25}}, {{val|0 -16 -2 -5 25 -26}}]<br>
POTE generator: ~28/25 = 193.903<br>
Vals: 62e, 68, 130, 198, 328<br>
Badness: 0.023388<br><br>
'''17-limit'''<br>
Comma list: 289/288, 442/441, 561/560, 676/675, 1632/1625<br>
Mapping: [{{val|2 14 6 9 -10 25 19}}, {{val|0 -16 -2 -5 25 -26 -16}}]<br>
POTE generator: ~28/25 = 193.911<br>
Vals: 62e, 68, 130, 198, 328g, 526cfgg<br>
Badness: 0.028987<br><br>
'''19-limit'''<br>
Comma list: 289/288, 442/441, 456/455, 476/475, 561/560, 627/625<br>
Mapping: [{{val|2 14 6 9 -10 25 19 20}}, {{val|0 -16 -2 -5 25 -26 -16 -17}}]<br>
POTE generator: ~19/17 = 193.915<br>
Vals: 62e, 68, 130, 198, 328g, 526cfgg<br>
Badness: 0.021707<br><br>
; [[Archytas clan #Beatles|Beetle]] (10 &amp; 27)
'''11-limit'''<br>
Comma list: 55/54, 64/63, 686/675<br>
Mapping: [{{val|1 1 5 4 -1}}, {{val|0 2 -9 -4 15}}]<br>
POTE generator: ~49/40 = 356.710<br>
Vals: 10, 27, 37<br>
Badness: 0.058084<br><br>
'''13-limit'''<br>
Comma list: 55/54, 64/63, 91/90, 169/168<br>
Mapping: [{{val|1 1 5 4 -1 4}}, {{val|0 2 -9 -4 15 -1}}]<br>
POTE generator: ~16/13 = 356.701<br>
Vals: 10, 27, 37<br>
Badness: 0.033971<br><br>
; [[Mirkwai clan #Subsedia|Subsedia]] (10 &amp; 111)
'''7-limit'''<br>
Comma list: 16875/16807, 65536/64827<br>
Mapping: [{{val|1 0 5 4}}, {{val|0 16 -27 -12}}]<br>
POTE generator: ~15/14 = 118.965<br>
Vals: 10, 101, 111, 121, 232d<br>
Badness: 0.157658<br><br>
'''11-limit'''<br>
Comma list: 540/539, 1375/1372, 65536/64827<br>
Mapping: [{{val|1 0 5 4 -1}}, {{val|0 16 -27 -12 45}}]<br>
POTE generator: ~15/14 = 118.968<br>
Vals: 10, 101, 111, 121, 232d<br>
Badness: 0.066838<br><br>
'''13-limit'''<br>
Comma list: 352/351, 540/539, 676/675, 1375/1372<br>
Mapping: [{{val|1 0 5 4 -1 4}}, {{val|0 16 -27 -12 45 -3}}]<br>
POTE generator: ~15/14 = 118.968<br>
Vals: 10, 101, 111, 121, 232d<br>
Badness: 0.031635<br><br>
'''17-limit'''<br>
Comma list: 256/255, 352/351, 442/441, 540/539, 715/714<br>
Mapping: [{{val|1 0 5 4 -1 4 3}}, {{val|0 16 -27 -12 45 -3 11}}]<br>
POTE generator: ~15/14 = 118.968<br>
Vals: 10, 101, 111, 121, 232dg<br>
Badness: 0.019707<br><br>
'''19-limit'''<br>
Comma list: 256/255, 352/351, 400/399, 442/441, 456/455, 715/714<br>
Mapping: [{{val|1 0 5 4 -1 4 3 10}}, {{val|0 16 -27 -12 45 -3 11 -58}}]<br>
POTE generator: ~15/14 = 118.964<br>
Vals: 10, 101h, 111, 121, 232dg<br>
Badness: 0.017935<br><br>


'''<font style="font-size: 1.15em">12 September 2021</font>'''
'''<font style="font-size: 1.15em">29 March 2025</font>'''
; [[Hemifamity temperaments #Quintakwai|Quinkwai]] (12f &amp; 181)
* [[145/144|adeonisma]]: 145/144, twenoyo
'''13-limit'''<br>
* [[552/551|sigelindisma]]: 552/551, twenutwethonu
Comma list: 352/351, 847/845, 1375/1372, 4375/4356<br>
* [[638/637|moirisma]]: 638/637, twenothuloruru
Mapping: [{{val|1 2 0 -2 -4 -5}}, {{val|0 -5 28 58 90 105}}]<br>
* [[726/725|joellisma]]: 726/725, twenubilogu
POTE generator: ~35/33 = 99.456<br>
* [[783/782|norisma]]: 783/782, twenotwethusu
Vals: 12f, 169e, 181<br>
* [[1015/1014|christisma]]: 1015/1014, twenothuthuzoyo
Badness: 0.061873<br><br>
* [[1045/1044|michelisma]]: 1045/1044, twenunoloyo
'''17-limit'''<br>
* [[1276/1275|ucclisma]]: 1276/1275, twenosulogugu
Comma list: 352/351, 375/374, 595/594, 833/832, 1375/1372<br>
* [[1450/1449|raimondisma]]: 1450/1449, twenotwethuruyoyo
Mapping: [{{val|1 2 0 -2 -4 -5 5}}, {{val|0 -5 28 58 90 105 -11}}]<br>
* [[1596/1595|itzigsohnisma]]: 1596/1595, twenunoluzogu
POTE generator: ~18/17 = 99.458<br>
* [[1625/1624|norcma]]: 1625/1624, twenuthorutriyo
Vals: 12f, 169e, 181, 374ff, 555cff<br>
* [[1683/1682|castafiorisma]]: 1683/1682, bitwenu-asolo
Badness: 0.043506<br><br>
* [[2176/2175|donarisma]]: 2176/2175, twenusogugu
'''19-limit'''<br>
* [[2205/2204|glinkisma]]: 2205/2204, twenunuzozoyo
Comma list: 352/351, 375/374, 400/399, 495/494, 595/594, 1375/1372<br>
* [[2262/2261|mitidikisma]]: 2262/2261, twenonusuthoru
Mapping: [{{val|1 2 0 -2 -4 -5 5 4}}, {{val|0 -5 28 58 90 105 -11 3}}]<br>
* [[5929/5928|manzanisma]]: 5929/5928, nuthubilozo
POTE generator: ~18/17 = 99.459<br>
Vals: 12f, 169e, 181, 374ff, 555cff<br>
Badness: 0.031313<br><br>
; [[Hemifamity temperaments #Quintakwai|Quintakwoid]] (12f &amp; 193)
'''13-limit'''<br>
Comma list: 364/363, 625/624, 1375/1372, 5120/5103<br>
Mapping: [{{val|1 2 0 -2 -4 -6}}, {{val|0 -5 28 58 90 117}}]<br>
POTE generator: ~35/33 = 99.484<br>
Vals: 12f, 181f, 193<br>
Badness: 0.057357<br><br>
'''17-limit'''<br>
Comma list: 364/363, 375/374, 442/441, 595/594, 5120/5103<br>
Mapping: [{{val|1 2 0 -2 -4 -6 5}}, {{val|0 -5 28 58 90 117 -11}}]<br>
POTE generator: ~18/17 = 99.484<br>
Vals: 12f, 181f, 193<br>
Badness: 0.039289<br><br>
'''19-limit'''<br>
Comma list: 364/363, 375/374, 400/399, 442/441, 595/594, 1216/1215<br>
Mapping: [{{val|1 2 0 -2 -4 -6 5 4}}, {{val|0 -5 28 58 90 117 -11 3}}]<br>
POTE generator: ~18/17 = 99.485<br>
Vals: 12f, 181f, 193<br>
Badness: 0.028101<br><br>


'''<font style="font-size: 1.15em">18 September 2021</font>'''
'''<font style="font-size: 1.15em">6 April 2025</font>'''
; [[Starling temperaments #Passionate|Passionate]] (12 &amp; 61)
* [[6144/6137|langwisma]]: 6144/6137, nunusu
'''7-limit'''<br>
Comma list: 126/125, 131072/127575<br>
Mapping: [{{val|1 2 2 1}}, {{val|0 -5 4 22}}]<br>
POTE generator: ~16/15 = 98.817<br>
Vals: 12, 61, 73, 85c<br>
Badness: 0.121293<br><br>
'''11-limit'''<br>
Comma list: 126/125, 176/175, 8192/8019<br>
Mapping: [{{val|1 2 2 1 1}}, {{val|0 -5 4 22 30}}]<br>
POTE generator: ~16/15 = 98.721<br>
Vals: 12, 61, 73, 158bccee<br>
Badness: 0.068322<br><br>
'''13-limit'''<br>
Comma list: 126/125, 176/175, 343/338, 364/363<br>
Mapping: [{{val|1 2 2 1 1 1}}, {{val|0 -5 4 22 30 33}}]<br>
POTE generator: ~16/15 = 98.627<br>
Vals: 12f, 61, 73f<br>
Badness: 0.052302<br><br>
; [[Starling temperaments #Passionate|Pash]] (12 &amp; 73)
'''13-limit'''<br>
Comma list: 126/125, 176/175, 196/195, 1352/1331<br>
Mapping: [{{val|1 2 2 1 1 0}}, {{val|0 -5 4 22 30 45}}]<br>
POTE generator: ~16/15 = 98.791<br>
Vals: 12f, 61f, 73, 85ce<br>
Badness: 0.056386<br><br>


'''<font style="font-size: 1.15em">25 September 2021</font>'''
'''<font style="font-size: 1.15em">10 April 2025</font>'''
; [[Parkleiness temperaments #Majvamic|Majvamic]] (183 &amp; 217)
* <s>[[129/128|Magikarp comma]]</s>: 129/128, fotho
'''7-limit'''<br>
* <s>[[130/129|Gyarados comma]]</s>: 130/129, fothuthoyo
Comma list: 1959552/1953125, 67108864/66976875<br>
* [[2640/2639|hällströmisma]]: 2640/2639, twenuthuloruyo
Mapping: [{{val|1 10 5 -32}}, {{val|0 -22 -7 91}}]<br>
* [[2784/2783|domeykisma]]: 2784/2783, twenotwethululu
POTE generator: ~125/96 = 459.001<br>
* [[3249/3248|musashinisma]]: 3249/3248, twenunonoru
Vals: 34, 149d, 183, 217, 400<br>
* [[3451/3450|mentorisma]]: 3451/3450, twenotwethusozogugu
Badness: 0.188996<br><br>
* [[4785/4784|petrovsma]]: 4785/4784, twenotwethuthuloyo
'''11-limit'''<br>
* [[5916/5915|woudisma]]: 5916/5915, twenosothuthurugu
Comma list: 5632/5625, 46656/46585, 131072/130977<br>
Mapping: [{{val|1 10 5 -32 31}}, {{val|0 -22 -7 91 -72}}]<br>
POTE generator: ~125/96 = 459.002<br>
Vals: 34, 149d, 183, 400, 983c, 1383ce, 1783cce<br>
Badness: 0.055046<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 4096/4095, 39366/39325<br>
Mapping: [{{val|1 10 5 -32 31 19}}, {{val|0 -22 -7 91 -72 -40}}]<br>
POTE generator: ~125/96 = 459.000<br>
Vals: 34, 149d, 183, 217, 400<br>
Badness: 0.033963<br><br>
'''17-limit'''<br>
Comma list: 676/675, 936/935, 1001/1000, 1156/1155, 4096/4095<br>
Mapping: [{{val|1 10 5 -32 31 19 6}}, {{val|0 -22 -7 91 -72 -40 -5}}]<br>
POTE generator: ~125/96 = 459.000<br>
Vals: 34, 149d, 183, 217, 400<br>
Badness: 0.019543<br><br>
; [[Cataharry temperaments #Majvamoid|Majvamoid]] (149 &amp; 183)
'''7-limit'''<br>
Comma list: 19683/19600, 29360128/29296875<br>
Mapping: [{{val|1 10 5 38}}, {{val|0 -22 -7 -92}}]<br>
POTE generator: ~125/96 = 459.031<br>
Vals: 34d, 115d, 149, 183, 332, 515, 847, 1362bc<br>
Badness: 0.207280<br><br>
'''11-limit'''<br>
Comma list: 3025/3024, 5632/5625, 19683/19600<br>
Mapping: [{{val|1 10 5 38 31}}, {{val|0 -22 -7 -92 -72}}]<br>
POTE generator: ~125/96 = 459.027<br>
Vals: 34d, 149, 183, 332e, 515e, 698e<br>
Badness: 0.065874<br><br>
'''13-limit'''<br>
Comma list: 351/350, 676/675, 1573/1568, 4225/4224<br>
Mapping: [{{val|1 10 5 38 31 19}}, {{val|0 -22 -7 -92 -72 -40}}]<br>
POTE generator: ~125/96 = 459.028<br>
Vals: 34d, 149, 183, 332ef, 515ef<br>
Badness: 0.034696<br><br>
'''17-limit'''<br>
Comma list: 351/350, 561/560, 676/675, 715/714, 4225/4224<br>
Mapping: [{{val|1 10 5 38 31 19 6}}, {{val|0 -22 -7 -92 -72 -40 -5}}]<br>
POTE generator: ~125/96 = 459.027<br>
Vals: 34d, 149, 183, 332ef, 515ef, 698ef<br>
Badness: 0.023302<br><br>
; [[Vishnuzmic family #Narayana|Narayana]] (84 &amp; 118)
'''7-limit'''<br>
Comma list: 65625/65536, 321489/320000<br>
Mapping: [{{val|2 4 5 3}}, {{val|0 -7 -3 22}}]<br>
POTE generator: ~25/24 = 71.265<br>
Vals: 34, 84, 118, 202, 320, 522<br>
Badness: 0.094295<br><br>
'''11-limit'''<br>
Comma list: 441/440, 8019/8000, 65625/65536<br>
Mapping: [{{val|2 4 5 3 3}}, {{val|0 -7 -3 22 33}}]<br>
POTE generator: ~25/24 = 71.248<br>
Vals: 34e, 84, 118, 202, 320<br>
Badness: 0.045908<br><br>


'''<font style="font-size: 1.15em">26 September 2021</font>'''
'''<font style="font-size: 1.15em">11 April 2025</font>'''
; [[Vulture family #Turkey|Turkey]] (212 &amp; 217)
* [[10557/10556|rowlandisma]]: 10557/10556, twenutwethosothuru
'''7-limit'''<br>
Comma list: 4802000/4782969, 5250987/5242880<br>
Mapping: [{{val|1 8 36 0}}, {{val|0 -16 -84 7}}]<br>
POTE generator: ~1715/1296 = 481.120<br>
Vals: 5, 207c, 212, 429<br>
Badness: 0.210964<br><br>
'''11-limit'''<br>
Comma list: 19712/19683, 42875/42768, 160083/160000<br>
Mapping: [{{val|1 8 36 0 64}}, {{val|0 -16 -84 7 -151}}]<br>
POTE generator: ~33/25 = 481.120<br>
Vals: 212, 429<br>
Badness: 0.079694<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 19712/19683, 31213/31104<br>
Mapping: [{{val|1 8 36 0 64 47}}, {{val|0 -16 -84 7 -151 -108}}]<br>
POTE generator: ~33/25 = 481.118<br>
Vals: 212, 217, 429<br>
Badness: 0.043787<br><br>


===<font style="font-size: 1.15em">Proposed in October 2021</font>===
'''<font style="font-size: 1.15em">15 April 2025</font>'''
'''<font style="font-size: 1.15em">2 October 2021</font>'''
* [[371293/262144|tridecimal antidilemma]]: 371293/262144, laquintho 5th
; [[Tritrizo clan #Lunennealimmal|Lunennealimmal]] (441 &amp; 882)
* [[524288/371293|tridecimal dilemma]]: 524288/371293, saquinthu 4th
'''11-limit'''<br>
* [[1610510/1594323|fifthchromisma]]: 1610510/1594323, saquinlo-ayo
Comma list: 2401/2400, 4375/4374, 274877906944/274658203125<br>
Mapping: [{{val|441 699 1024 1238 1526}}, {{val|0 0 0 0 -1}}]<br>
POTE generator: ~11/8 = 551.3584<br>
Vals: 441, 882, 1323, 2205, 3528<br>
Badness: 0.091939<br><br>
'''13-limit'''<br>
Comma list: 2401/2400, 4096/4095, 4375/4374, 85750/85683<br>
Mapping: [{{val|441 699 1024 1238 1526 1632}}, {{val|0 0 0 0 -1 0}}]<br>
POTE generator: ~11/8 = 551.4043<br>
Vals: 441, 882, 1323, 3528f, 4851ff, 6174dff<br>
Badness: 0.042975<br><br>
'''17-limit'''<br>
Comma list: 2401/2400, 4096/4095, 4375/4374, 8624/8619, 14161/14157<br>
Mapping: [{{val|441 699 1024 1238 1526 1632 1803}}, {{val|0 0 0 0 -1 0 -1}}]<br>
POTE generator: ~11/8 = 551.3688<br>
Vals: 441, 882, 1323, 2205f, 3528f<br>
Badness: 0.029334<br><br>


== Commas which this user proposed names ==
'''<font style="font-size: 1.15em">17 April 2025</font>'''
This user proposed new names for following commas.
* [[2001/2000|major discoverisma]]: 2001/2000, twenotwethotrigu
 
* [[2002/2001|minor discoverisma]]: 2002/2001, twenutwethutholozo
===<font style="font-size: 1.15em">Proposed in April 2021</font>===
'''<font style="font-size: 1.15em">4 April 2021</font>'''
* [[Hewuermera temperaments|hewuermera]]: 589824/588245, satribiru-agu
* [[Triwellismic temperaments|triwellisma]]: 235298/234375, tribizo-asepgu (''name revised on 24 April 2021'')


'''<font style="font-size: 1.15em">25 April 2021</font>'''
'''<font style="font-size: 1.15em">26 April 2025</font>'''
* [[Quadrawellismic temperaments|quadrawellisma]]: 67528125/67108864, lalaquadzo-aquinyo
* [[2465/2464|laservine comma]]: 2465/2464, twenosoluruyo


'''<font style="font-size: 1.15em">26 April 2021</font>'''
'''<font style="font-size: 1.15em">27 April 2025</font>'''
* [[Catasyc temperaments|catasyc comma]]: 390625/387072, laruquadbiyo
* [[280/279|tricetone comma]]: 280/279, thiwuzoyo


'''<font style="font-size: 1.15em">28 April 2021</font>'''
'''<font style="font-size: 1.15em">2 May 2025</font>'''
* [[Mistismic temperaments|mistisma]]: 458752/455625, sazoquadgu
* [[6912/6859|deviaug comma]]: 6912/6859, trinu


===<font style="font-size: 1.15em">Proposed in May 2021</font>===
'''<font style="font-size: 1.15em">3 May 2025</font>'''
'''<font style="font-size: 1.15em">3 May 2021</font>'''
* [[93/92|tricema]]: 93/92, thiwotwethu
* [[Hemfiness temperaments|hemfiness comma]]: 4096000/4084101, saquinru-atriyo
* [[155/154|scyllisma]]: 155/154, thiwoluruyo
* [[Marvelfifths temperaments|marvelfifths comma]]: 158203125/157351936, laquadru-atritriyo (''name revised on 13 May 2021'')
* [[156/155|xanthippisma]]: 156/155, thiwuthogu
* [[Chromatisma|chromatisma]]: 640000000000000000/635585924776181463, trisa-triru-aquadquadyo
* [[187/186|lambertisma]]: 187/186, thiwusolo
* [[217/216|eudorisma]]: 217/216, thiwozo
* [[248/247|lameisma]]: 248/247, thiwonuthu
* [[341/340|californisma]]: 341/340, thiwosulogu
* [[342/341|endymisma]]: 342/341, thiwunolu
* [[435/434|chinthisma]]: 435/434, thiwutwenoruyo
* [[465/464|alektisma]]: 465/464, thiwotwenuyo
* [[528/527|rezisma]]: 528/527, thiwusulo
* [[589/588|croatisma]]: 589/588, thiwonoruru
* [[651/650|antiklisma]]: 651/650, thiwothuzogugu
* [[714/713|ululisma]]: 714/713, thiwutwethusozo


'''<font style="font-size: 1.15em">4 May 2021</font>'''
'''<font style="font-size: 1.15em">4 May 2025</font>'''
* [[Bronzismic temperaments|bronzisma]]: 2097152/2083725, satriru-agugu
* [[2755/2754|avicema]]: 2755/2754, twenonosuyo
* [[4641/4640|vinecute comma]]: 4641/4640, twenusothozogu
* [[5888/5887|vinocular comma]]: 5888/5887, bitwenu-atwethoru
* [[8671/8670|vinous comma]]: 8671/8670, twenotwethosusuthogu


'''<font style="font-size: 1.15em">6 May 2021</font>'''
'''<font style="font-size: 1.15em">9 May 2025</font>'''
* [[Sesquiquartismic temperaments|sesquiquartisma]]: 2460375/2458624, laquadru-atruyo
* [[6076/6075|large ricegrain comma]]: 6076/6075, sathiwobizogu
* [[Mitonismic temperaments|mitonisma]]: 5250987/5242880, laquadzo-agu
* [[6728/6727|sushi comma]]: 6728/6727, bithiwutweno-aru
* [[Olympic temperaments|olympia]]: 131072/130977, salururu (''name revised on 2 August 2021'')
* [[8960/8959|small ricegrain comma]]: 8960/8959, thiwususuzoyo


'''<font style="font-size: 1.15em">13 May 2021</font>'''
'''<font style="font-size: 1.15em">10 May 2025</font>'''
* [[Sensamagicfifths temperaments|sensamagicfifths comma]]: {{monzo|-11 42 -7 -14}}, trila-seprurugu
* [[12636/12635|padriellisma]]: 12636/12635, nunuthorugu
* [[13690/13689|lesleymartin comma]]: 13690/13689, bithisothu-ayo
* [[16337/16335|brown rice comma]]: 16337/16335, bithiwo-asolulugu
* [[23275/23273|sunrise comma]]: 23275/23273, bithisu-anosubizoyo


'''<font style="font-size: 1.15em">19 May 2021</font>'''
'''<font style="font-size: 1.15em">18 May 2025</font>'''
* [[Secanticorn temperaments|secanticornisma]]: 177147/175000, laruquingu
* [[navicular comma]]: 24192/24167, trithu-aluzo
* [[48013/48000|small tridevisemma]]: 48013/48000, trino-azotrigu
* [[93347/93312|trilute comma]]: 93347/93312, notriso
* [[116640/116603|large tridevisemma]]: 116640/116603, trinu-asuyo
* [[176000/175959|triseptichrome comma]]: 176000/175959, nulotriruyo
* [[471648/471625|small triquarterisma]]: 471648/471625, triso-alutrirugu
* [[1257795/1257728|large triquarterisma]]: 1257795/1257728, latrisulo-azoyo
* [[quinticular comma]]: 1419857/1417176, saquinso


'''<font style="font-size: 1.15em">23 May 2021</font>'''
'''<font style="font-size: 1.15em">28 May 2025</font>'''
* [[Supermatertismic temperaments|supermatertisma]]: 52734375/52706752, lasepru-atritriyo
* [[7942/7935|brigade comma]]: 7942/7935, bitwethuno-alogu
* [[Supermasesquartismic temperaments|supermasesquartisma]]: 184528125/184473632, laquadbiru-aquinyo


'''<font style="font-size: 1.15em">27 May 2021</font>'''
'''<font style="font-size: 1.15em">29 May 2025</font>'''
* [[Septimirod temperaments|septimirod]]: 84035/82944, quinzo-ayo
* [[barbadisma]]: 114383962274805 / 114349209288704, quadla-thuyo
* [[undevicesimal counterschisma]]: 2.3.19 {{monzo|-75 50 -1}}, seplanu


===<font style="font-size: 1.15em">Proposed in June 2021</font>===
'''<font style="font-size: 1.15em">30 May 2025</font>'''
'''<font style="font-size: 1.15em">8 June 2021</font>'''
* [[septendecimal quasithirdma]]: 19683/19652, latrisu
* [[Vorwell clan|vorwell comma]]: 134217728/133984375, sasatriru-aquadbigu
* [[septendecimal quasiminthma]]: 6975757441 / 6973568802, sasa-quadbiso
* [[Maitri clan|maitri comma]]: 40353607/40000000, tritrizo-asepgu


'''<font style="font-size: 1.15em">28 June 2021</font>'''
'''<font style="font-size: 1.15em">1 June 2025</font>'''
* [[Compass temperaments|compass comma]]: 9765625/9680832, quinruyoyo
* [[undevicesimal quasitonema]]: 34359738368 / 34296447249, sasa-tribinu
* [[deviquasisma]]: 17594077438737 / 17592186044416, lala-sepno


===<font style="font-size: 1.15em">Proposed in July 2021</font>===
'''<font style="font-size: 1.15em">9 June 2025</font>'''
'''<font style="font-size: 1.15em">12 July 2021</font>'''
* [[226/225|reversed marvel comma]]: 226/225, 113ogg2
* [[Fantares temperaments|fantares comma]]: 4375/4356, luluzoquadyo


'''<font style="font-size: 1.15em">13 July 2021</font>'''
'''<font style="font-size: 1.15em">5 July 2025</font>'''
* [[Septiness clan|septiness comma]]: 67108864/66706983, sasasepru
* [[386/385|siegenisma]]: 386/385, 193o1urg1
* [[Decovulture temperaments|decovulture comma]]: 67108864/66976875, sasabirugugu
* [[57122/57121|phocitremisma]]: 57122/57121, 239uu3o<sup>4</sup>2
<!-- * [[5104/5103|-isma]]: 5104/5103, satwenoloru -->


'''<font style="font-size: 1.15em">18 July 2021</font>'''
== Scales which this user proposed names ==
* [[Pontiqak temperaments|pontiqak comma]]: 95703125/95551488, lazozotritriyo
This user proposed new names for following scales.


===<font style="font-size: 1.15em">Proposed in August 2021</font>===
===<font style="font-size: 1.15em">Proposed in May 2023</font>===
'''<font style="font-size: 1.15em">7 August 2021</font>'''
'''<font style="font-size: 1.15em">16 May 2023</font>'''
* [[Slither clan|slither comma]]: 40960000/40353607, satritriru-aquadyo
* [[3L 16s|magicaltonic]]: 3L_16s MOS scale
* [[16L 3s|muggletonic]]: 16L_3s MOS scale
* [[Nicetone|zarlinoid]]: 3L_2m_2s rank-3 scale (MV3, LMLSLMS and LMLSMLS)
* [[sephipechroid]]: 3L_5m_5s rank-3 scale (MV3, LMSMLSMSLMSMS and LMSMLSMSMLSMS)
* [[magicaloid]]: 3L_8m_8s rank-3 scale (MV3, LMSMSMLSMSMSLMSMSMS and LMSMSMLSMSMSMLSMSMS)


'''<font style="font-size: 1.15em">8 August 2021</font>'''
'''<font style="font-size: 1.15em">18 May 2023</font>'''
* [[Mermismic temperaments|mermisma]]: 2500000/2470629, sepruyo
* [[Omnidiatonic|interdia]]: 2L_3m_2s rank-3 scale (MV3, LMSLMSM and LMSMLSM)
* [[antinicetone]]: 2L_2m_3s rank-3 scale (MV3, LMSLSMS and LSMLSMS)


'''<font style="font-size: 1.15em">13 August 2021</font>'''
'''<font style="font-size: 1.15em">20 May 2023</font>'''
* [[Valenwuer temperaments|valenwuer comma]]: 110592/109375, sarutribigu
* [[villoid]]: 7L_2m_2s rank-3 scale (MV3, LLMLLSLLMLS and LLMLLSLMLLS)
* [[Negricorn temperaments|negricorn comma]]: 153664/151875, saquadzogu
* [[intervilla]]: 2L_7m_2s rank-3 scale (MV3, LMMSMLMMSMM and LMMSMMLMSMM)
* [[kleistoid]]: 2L_2m_7s rank-3 scale (MV3, LSMSSLSSMSS and LSSMSLSSMSS)
* [[interoneichro]]: 5L_3m_5s rank-3 scale (MV3, LMSLSLMSLSMLS and LMSLSMLSLSMLS)
* [[sephimechroid]]: 5L_5m_3s rank-3 scale (MV3, LMLMSLMLSMLMS and LMLSMLMLSMLMS)
* [[moharoid]]: 7L_5m_5s rank-3 scale (MV3, LMLSLMSLMLSMLSLMS and LMLSMLSLMLSMLSLMS)
* [[enharoid]]: 5L_7m_5s rank-3 scale (MV3, LMSLMSMLMSLMSMLSM and LMSLMSMLSMLMSMLSM)
* [[beatloid]]: 5L_5m_7s rank-3 scale (MV3, LMSLSMLSMSLMSLSMS and LMSLSMLSMSLSMLSMS)


'''<font style="font-size: 1.15em">14 August 2021</font>'''
'''<font style="font-size: 1.15em">21 May 2023</font>'''
* [[Parkleiness temperaments|parkleiness comma]]: 1959552/1953125, zotritrigu
* [[Dualdye|archeoid]]: 5L_1m_1s rank-3 scale (MV3, LLLMLLS and LLLSLLM)
* [[interarcheo]]: 1L_5m_1s rank-3 scale (MV3, LMMMSMM and LMMSMMM)
* [[antarcheoid]]: 1L_1m_5s rank-3 scale (MV3, LSSMSSS and LSSSMSS)


'''<font style="font-size: 1.15em">19 August 2021</font>'''
===<font style="font-size: 1.15em">Proposed in July 2023</font>===
* [[Mynaslendic temperaments|mynaslender comma]]: 829440/823543, sepru-ayo
'''<font style="font-size: 1.15em">2 July 2023</font>'''
* [[jarachroid]]: 5L_5m_2s rank-3 scale (MV3, LMLMLSMLMLMS)
* [[Diachrome|interchroid]]: 5L_2m_5s rank-3 scale (MV3, LMSLSLSMLSLS)
* [[jerachroid]]: 2L_5m_5s rank-3 scale (MV3, LMSMSMLSMSMS)


===<font style="font-size: 1.15em">Proposed in September 2021</font>===
== Documents ==
'''<font style="font-size: 1.15em">11 September 2021</font>'''
Notation:
* [[Buzzardismic clan|buzzardisma]]: 65536/64827, saquadru
* [[User:Xenllium/Xenllium's microtonal notation|Xenllium's microtonal notation]]
Tempered scales:
* [[User:Xenllium/Xenllium's circulating scales|Xenllium's circulating scales]]
External links:
* [https://docs.google.com/spreadsheets/d/18CRD8KRk9Gsg_tWSxbDJ_GjprgNvjGTx8ZWcpOEA-0I/edit?usp=sharing Rank-two regular temperament]
* [https://docs.google.com/spreadsheets/d/1vnZJTEGOG4FhnGyOwXdpo1KHg73e0KwzgtgbayhT4y0/edit?usp=sharing 11-limit comma lists of selected microtonal EDOs]
* [https://docs.google.com/spreadsheets/d/1NSuACLto7egh8rqDCQ-DwQFZBqdOiYHdo180tDRP740/edit?usp=sharing 171EDO / 171<span lang="ja" style="font-family:Yu Gothic UI, sans-serif">平均律</span>]
* [https://drive.google.com/file/d/1Eov2FSp5Y4X4HPaaHV8nvqHX21LE7AQa/view?usp=drive_link <span lang="ja" style="font-family:Yu Gothic UI, sans-serif">純正音程と平均律</span>] <small>(<span lang="ja" style="font-family:Yu Gothic UI, sans-serif">日本語</span>/Japanese)</small>
* [https://drive.google.com/file/d/1oBpqNqqIYCZaPuTFEt4HYdIULOMbX6sE/view?usp=drive_link <span lang="ja" style="font-family:Yu Gothic UI, sans-serif">平均律</span> (2～31)] <small>(<span lang="ja" style="font-family:Yu Gothic UI, sans-serif">日本語</span>/Japanese)</small>


'''<font style="font-size: 1.15em">15 September 2021</font>'''
== Music ==
* [[Neptunismic temperaments|neptunisma]]: 48828125/48771072, laruruleyo
* ''[https://youtube.com/watch?v=5iBXKRWE-_U Magical life]'' – in 19-tone pure-fifth magic scale
* ''[https://youtube.com/watch?v=QOFBKfCYThI Xentwelve tuning]'' – demonstration of Xentwelve tuning
* [https://youtube.com/watch?v=bbJ0HjPAuaA <span lang="ja" style="font-family:Yu Gothic UI, Yu Gothic, Meiryo, MS PGothic, sans-serif">【オリジナル曲】かなしいこと</span> / The sadness]

Latest revision as of 02:26, 5 July 2025

Xenllium joined Xenharmonic Wiki on 15 November 2018. The name "Xenllium" is a portmanteau of "Xenharmonic" and "Trillium".

Temperaments which this user proposed names

This user proposed new names for following temperaments.

Proposed in 2019

March 2019

April 2019

Proposed in 2021

March 2021

April 2021

May 2021

June 2021

July 2021

August 2021

Septemper 2021

October 2021

November 2021

December 2021

Proposed in 2022

January 2022

February 2022

March 2022

April 2022

May 2022

June 2022

Proposed in 2023

June 2023

July 2023

August 2023

September 2023

October 2023

November 2023

December 2023

Proposed in 2024

January 2024

May 2024

June 2024

Proposed in 2025

January 2025

February 2025

March 2025

April 2025

June 2025

Commas which this user proposed names

This user proposed new names for following commas.

Proposed in 2021

April 2021

May 2021

June 2021

July 2021

August 2021

September 2021

  • buzzardisma: 65536/64827, saquadru (→ buzzardsma, buzzard comma)
  • neptunisma: 48828125/48771072, laruruleyo

October 2021

November 2021

Proposed in 2022

January 2022

February 2022

March 2022

May 2022

Proposed in 2023

11 May 2023

27 May 2023

18 July 2023

21 July 2023

23 July 2023

15 August 2023

16 August 2023

21 August 2023

26 August 2023

27 August 2023

17 September 2023

5 November 2023

12 November 2023

13 November 2023

15 November 2023

26 November 2023

1 December 2023

10 December 2023

23 December 2023

Proposed in 2024

2 January 2024

  • slendrisma: 68719476736/68641485507, sasa-quinbiru

27 January 2024

3 May 2024

1 June 2024

22 December 2024

Proposed in 2025

20 March 2025

21 March 2025

29 March 2025

6 April 2025

10 April 2025

11 April 2025

15 April 2025

17 April 2025

26 April 2025

27 April 2025

2 May 2025

3 May 2025

4 May 2025

9 May 2025

10 May 2025

18 May 2025

28 May 2025

29 May 2025

30 May 2025

1 June 2025

9 June 2025

5 July 2025

Scales which this user proposed names

This user proposed new names for following scales.

Proposed in May 2023

16 May 2023

  • magicaltonic: 3L_16s MOS scale
  • muggletonic: 16L_3s MOS scale
  • zarlinoid: 3L_2m_2s rank-3 scale (MV3, LMLSLMS and LMLSMLS)
  • sephipechroid: 3L_5m_5s rank-3 scale (MV3, LMSMLSMSLMSMS and LMSMLSMSMLSMS)
  • magicaloid: 3L_8m_8s rank-3 scale (MV3, LMSMSMLSMSMSLMSMSMS and LMSMSMLSMSMSMLSMSMS)

18 May 2023

  • interdia: 2L_3m_2s rank-3 scale (MV3, LMSLMSM and LMSMLSM)
  • antinicetone: 2L_2m_3s rank-3 scale (MV3, LMSLSMS and LSMLSMS)

20 May 2023

  • villoid: 7L_2m_2s rank-3 scale (MV3, LLMLLSLLMLS and LLMLLSLMLLS)
  • intervilla: 2L_7m_2s rank-3 scale (MV3, LMMSMLMMSMM and LMMSMMLMSMM)
  • kleistoid: 2L_2m_7s rank-3 scale (MV3, LSMSSLSSMSS and LSSMSLSSMSS)
  • interoneichro: 5L_3m_5s rank-3 scale (MV3, LMSLSLMSLSMLS and LMSLSMLSLSMLS)
  • sephimechroid: 5L_5m_3s rank-3 scale (MV3, LMLMSLMLSMLMS and LMLSMLMLSMLMS)
  • moharoid: 7L_5m_5s rank-3 scale (MV3, LMLSLMSLMLSMLSLMS and LMLSMLSLMLSMLSLMS)
  • enharoid: 5L_7m_5s rank-3 scale (MV3, LMSLMSMLMSLMSMLSM and LMSLMSMLSMLMSMLSM)
  • beatloid: 5L_5m_7s rank-3 scale (MV3, LMSLSMLSMSLMSLSMS and LMSLSMLSMSLSMLSMS)

21 May 2023

  • archeoid: 5L_1m_1s rank-3 scale (MV3, LLLMLLS and LLLSLLM)
  • interarcheo: 1L_5m_1s rank-3 scale (MV3, LMMMSMM and LMMSMMM)
  • antarcheoid: 1L_1m_5s rank-3 scale (MV3, LSSMSSS and LSSSMSS)

Proposed in July 2023

2 July 2023

  • jarachroid: 5L_5m_2s rank-3 scale (MV3, LMLMLSMLMLMS)
  • interchroid: 5L_2m_5s rank-3 scale (MV3, LMSLSLSMLSLS)
  • jerachroid: 2L_5m_5s rank-3 scale (MV3, LMSMSMLSMSMS)

Documents

Notation:

Tempered scales:

External links:

Music

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