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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]]''". |
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| == 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. |
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| ===<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 & 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 & 17442) |
| Vals: 23, 46, 115, 161, 207, 368c<br>
| | * [[Meridic]] |
| Badness: 0.196622<br><br>
| | * Tetracontaheptatonic (94 & 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 & 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 & 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 & 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 & 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>
| |
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| '''<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 & 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 & 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 & 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 & 166, formerly ''witch'', revised in August 2023) |
| | * [[Semiwitcher]] (166 & 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 & 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">1 April 2019</font>''' | | '''<font style="font-size: 1.15em">June 2023</font>''' |
| ; [[Lokismic temperaments #Septisemitonic|Septisemitonic]] (128 & 270)
| | * [[Galileic]] |
| '''7-limit'''<br> | | * [[Catagali]] |
| Comma list: 102760448/102515625, 200120949/200000000<br>
| | * [[Quintain]] |
| Mapping: [{{val|2 5 0 -1}}, {{val|0 -13 33 47}}]<br>
| | '''<font style="font-size: 1.15em">July 2023</font>''' |
| POTE generator: ~21/20 = 84.446<br>
| | * [[Devisemi]] |
| Vals: 128, 142, 270<br>
| | * [[Garibaldia]] (2.3.5.7.17.19 extension of [[garibaldi]]) |
| Badness: 0.166111<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, 131072/130977, 422576/421875<br>
| | * [[Heartland]] (2.3.7.11.19 14&41& 48) |
| Mapping: [{{val|2 5 0 -1 11}}, {{val|0 -13 33 47 -29}}]<br>
| | * [[Hearts]] (2.3.7.11.19 41&48) |
| POTE generator: ~21/20 = 84.443<br>
| | * [[Heartia]] |
| Vals: 128, 142, 270<br>
| | * [[Heartful]] (2.3.7.11.19 41&75e) |
| Badness: 0.058273<br><br>
| | * [[Doublehearted]] (2.3.7.11.19 14&41) |
| '''13-limit'''<br> | | * [[Byhearted]] |
| Comma list: 2080/2079, 3025/3024, 4096/4095, 405769/405000<br>
| | '''<font style="font-size: 1.15em">September 2023</font>''' |
| Mapping: [{{val|2 5 0 -1 11 15}}, {{val|0 -13 33 47 -29 -54}}]<br>
| | * [[Heartlandia]] (14cf & 41 & 89) |
| POTE generator: ~21/20 = 84.440<br>
| | * [[Darkstone]] |
| Vals: 128, 142, 270<br>
| | * [[Brightstone]] |
| Badness: 0.037612<br><br>
| | '''<font style="font-size: 1.15em">October 2023</font>''' |
| | * [[Magical]] |
| | * [[Magica]] |
| | * [[Magia]] |
| | * [[Sesquartia]] |
| | * [[Charismic]] |
| | * [[Quinmage]] |
| | * [[Hearty]] |
| | * [[Nonant]] |
| | * [[Hemiandromeda]] (29 & 82) |
| | * [[Hemidromeda]] (29 & 111) |
| | '''<font style="font-size: 1.15em">November 2023</font>''' |
| | * [[Trismegiboh]] |
| | * [[Baldanders]] (2.9.5.7.11 6&35) |
| | * [[Neomirkwai]] (2.3.5.7.11.19 31&41&80) |
| | * [[Dhaivatic]] |
| | * [[Triquart]] (27 & 159) |
| | * [[Tertiseptisix]] (27 & 212) |
| | * [[Quartiquart]] (80 & 212) |
| | * [[Quintiquart]] (80 & 265) |
| | * [[Neovulture]] (2.3.5.7.11.13.19 53&58&217) |
| | * [[Neovish]] (2.3.5.7.11.19 50&118&152) |
| | * [[Neobreed]] (41 & 130 & 270) |
| | * [[Neonewt]] (2.3.5.7.11.13.19 41&270) |
| | '''<font style="font-size: 1.15em">December 2023</font>''' |
| | * [[Heartlander]] (14cf & 41 & 130) |
| | * [[Neosatanic]] (665 & 3325) |
| | * [[Monzosatanic]] (665 & 7980) |
| | * [[Dog]] (2.3.19 7&9) |
| | * [[Armodog]] (2.3.5.7.11.13.19 7&9) |
|
| |
|
| '''<font style="font-size: 1.15em">21 April 2019</font>''' | | ===<font style="font-size: 1.15em">Proposed in 2024</font>=== |
| ; [[Wizmic microtemperaments #Tertiathirds|Tertiathirds]] (121 & 270)
| | '''<font style="font-size: 1.15em">January 2024</font>''' |
| '''7-limit'''<br>
| | * [[Quinbaldi]] (65d & 135) |
| Comma list: 420175/419904, 29360128/29296875<br>
| | * [[Quintant]] (65d & 200) |
| Mapping: [{{val|1 -4 2 -6}}, {{val|0 52 3 82}}]<br>
| | * [[Hemiquintant]] (130 & 135) |
| POTE generator: ~3375/3136 = 128.888<br>
| |
| Vals: 121, 149, 270, 2309c, 2579c, 2849c, 3119bc, 3389bc, 3659bcc, 3929bcc, 4199bcc<br>
| |
| Badness: 0.093005<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 3025/3024, 5632/5625, 117649/117612<br>
| |
| Mapping: [{{val|1 -4 2 -6 -9}}, {{val|0 52 3 82 116}}]<br>
| |
| POTE generator: ~264/245 = 128.890<br>
| |
| Vals: 121, 149, 270, 2551bc, 2821bc, 3091bc, 3361bc, 3631bbcc, 3901bbccd, 4171bbccd, 4441bbccd, 4711bbccd<br>
| |
| Badness: 0.033322<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 676/675, 1716/1715, 3025/3024, 4225/4224<br>
| |
| Mapping: [{{val|1 -4 2 -6 -9 -5}}, {{val|0 52 3 82 116 81}}]<br>
| |
| POTE generator: ~14/13 = 128.890<br>
| |
| Vals: 121, 149, 270, 1741bc, 2011bcf, 2281bcf, 2551bcf, 2821bcf, 3091bcff, 3361bcff<br>
| |
| Badness: 0.019494<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 676/675, 715/714, 936/935, 1225/1224, 4225/4224<br>
| |
| Mapping: [{{val|1 -4 2 -6 -9 -5 -3}}, {{val|0 52 3 82 116 81 66}}]<br>
| |
| POTE generator: ~14/13 = 128.891<br>
| |
| Vals: 121, 149, 270<br>
| |
| Badness: 0.019107<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 676/675, 715/714, 936/935, 1225/1224, 1540/1539, 2128/2125<br>
| |
| Mapping: [{{val|1 -4 2 -6 -9 -5 -3 5}}, {{val|0 52 3 82 116 81 66 -7}}]<br>
| |
| POTE generator: ~14/13 = 128.890<br>
| |
| Vals: 121, 149, 270<br>
| |
| Badness: 0.015621<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">22 April 2019</font>''' | | '''<font style="font-size: 1.15em">May 2024</font>''' |
| ; [[Schismatic family #Tertiaschis|Tertiaschis]] (94 & 159)
| | * [[Raccoon]] (11 & 32) |
| '''7-limit'''<br>
| |
| Comma list: 32805/32768, 1071875/1062882<br>
| |
| Mapping: [{{val|1 2 -1 10}}, {{val|0 -3 24 -52}}]<br>
| |
| 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">June 2024</font>''' |
| '''<font style="font-size: 1.15em">13 March 2021</font>''' | | * [[Piracy]] (84 & 155) |
| ; [[Tricot family #Trident|Trident]] (53 & 229)
| | * [[Pirateship]] (84 & 239) |
| '''7-limit'''<br>
| | * [[Unisquary]] (11-limit 72&118&121&130) |
| Comma list: 6144/6125, 14348907/14336000<br>
| | * [[Hensquary]] (13-limit 46&72&121&130) |
| Mapping: [{{val|1 0 -13 25}}, {{val|0 3 29 -42}}]<br>
| | * [[Ekasquary]] (13-limit 72&121&130&190) |
| 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 & 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 & 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 & 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">Proposed in 2025</font>=== |
| ; [[Cloudy clan #Decic|Decic]] (10 & 50)
| | '''<font style="font-size: 1.15em">January 2025</font>''' |
| '''7-limit'''<br> | | * [[Pentadecoid]] (2.3.7.11 120&135) |
| Comma list: 225/224, 16807/16384<br>
| | * [[Slendscape]] (255 & 270) |
| Mapping: [{{val|10 0 39 28}}, {{val|0 1 -1 0}}]<br>
| | * [[Triacontoid]] (120 & 150) |
| POTE generator: ~3/2 = 698.696<br>
| |
| Vals: 10, 30b, 40, 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, 30be, 40, 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, 30be, 40, 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, 30beg, 40, 50<br>
| |
| Badness: 0.025064<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">22 March 2021</font>''' | | '''<font style="font-size: 1.15em">February 2025</font>''' |
| ; [[Meantone family #Cloudtone|Cloudtone]] (5 & 50)
| | * [[Devichrome]] (2.3.5.7.19 27&31&41&53) |
| '''7-limit'''<br>
| |
| Comma list: 81/80, 16807/16384<br>
| |
| Mapping: [{{val|5 0 -20 14}}, {{val|0 1 4 0}}]<br>
| |
| 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">March 2025</font>''' |
| '''<font style="font-size: 1.15em">3 April 2021</font>''' | | * [[Octasand]] (11 and 13-limit 27e&41&53) |
| ; [[Pental family #Pental|Pentacloud]] (5 & 60)
| | * [[Devimarv]] (2.3.5.7.19 31&41&53) |
| '''7-limit'''<br>
| | ** [[Neomarv]] (2.3.5.7.11.19 31&41&53) |
| Comma list: 245/243, 16807/16384<br>
| | * [[Deva]] (2.3.5.7.19 27&41&53) |
| Mapping: [{{val|5 0 -28 14}}, {{val|0 1 5 0}}]<br>
| | ** [[Neonakika]] (2.3.5.7.11.19 15&27e&41) |
| POTE generator: ~3/2 = 700.548<br>
| | ** [[Neoctasand]] (2.3.5.7.11.19 27e&41&53) |
| Vals: 5, 60, 65, 125d, 185cdd<br>
| | * [[Nutrient]] (2.3.5.7.19 27&31&41) |
| Badness: 0.120942<br><br>
| | ** [[Neojovia]] (2.3.5.7.11.19 27e&31&41) |
| '''11-limit'''<br>
| | * [[Passkey]] (2.3.5.7.19 41&53&99) |
| Comma list: 245/243, 385/384, 3087/3025<br>
| | ** [[Neolakia]] (2.3.5.7.11.19 41&53&99) |
| 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 & 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 & 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">April 2025</font>''' |
| ; [[Qintosec family #Qintosec|Qinto]] (10 & 75)
| | * [[Magikarp]] (2.3.43 5&7) |
| '''11-limit'''<br>
| | * [[Hendeca]] (11&22) |
| Comma list: 225/224, 385/384, 332750/321489<br>
| | * [[Char]] (2.3.5.7.17 19&31&41) |
| Mapping: [{{val|5 7 13 15 14}}, {{val|0 2 -3 -2 7}}]<br>
| | * [[Elven]] (121&253) |
| POTE generator: ~15/14 = 112.448<br>
| |
| Vals: 10, 75, 160cde<br>
| |
| Badness: 0.127732<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">10 April 2021</font>''' | | '''<font style="font-size: 1.15em">June 2025</font>''' |
| ; [[Ragismic microtemperaments #Monzism|Monzism]] (53 & 559)
| | * [[Reversed marvel]] (2.3.5.113 22&31&34) |
| '''7-limit'''<br>
| |
| Comma list: 4375/4374, {{monzo|-55 30 2 1}}<br>
| |
| Mapping: [{{val|1 2 10 -25}}, {{val|0 -2 -37 134}}]<br>
| |
| 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>'''
| | == Commas which this user proposed names == |
| ; [[Amity family #Houborizic|Houborizic]] (53 & 113)
| | This user proposed new names for following commas. |
| '''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 & 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 & 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>''' | | ===<font style="font-size: 1.15em">Proposed in 2021</font>=== |
| ; [[Amity family #Familia|Familia]] (113 & 152)
| | '''<font style="font-size: 1.15em">April 2021</font>''' |
| '''7-limit'''<br>
| | * [[Hewuermera temperaments|hewuermera]]: 589824/588245, satribiru-agu |
| Comma list: 16875/16807, 1600000/1594323<br>
| | * [[Triwellismic temperaments|triwellisma]]: 235298/234375, tribizo-asepgu |
| Mapping: [{{val|1 8 19 20}}, {{val|0 -25 -65 -67}}]<br>
| | * [[Quadrawellismic temperaments|quadrawellisma]]: 67528125/67108864, lala-quadzo-aquinyo |
| POTE generator: ~11907/10000 = 307.941<br>
| | * [[Catasyc temperaments|catasyc comma]]: 390625/387072, laruquadbiyo |
| Vals: 39d, 74cd, 113, 152, 265, 417, 986d<br>
| | * [[Mistismic temperaments|mistisma]]: 458752/455625, sazoquadgu |
| 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: 39d, 74cd, 113, 152, 417, 569de, 721de<br>
| |
| Badness: 0.051740<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 540/539, 729/728, 1375/1372, 2205/2197<br>
| |
| Mapping: [{{val|1 8 19 20 5 25}}, {{val|0 -25 -65 -67 -6 -83}}]<br>
| |
| POTE generator: ~143/120 = 307.913<br>
| |
| Vals: 39df, 74cdf, 113, 152f, 265, 417f<br>
| |
| Badness: 0.038473<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">25 April 2021</font>''' | | '''<font style="font-size: 1.15em">May 2021</font>''' |
| ; [[Semicomma family #Sabric|Sabric]] (53 & 190)
| | * [[Hemfiness temperaments|hemfiness comma]]: 4096000/4084101, saquinru-atriyo |
| '''7-limit'''<br>
| | * [[Marvelfifths temperaments|marvelfifths comma]]: 158203125/157351936, laquadru-atritriyo |
| Comma list: 4375/4374, 2109375/2097152<br>
| | * [[Chromatisma|chromatisma]]: 640000000000000000 / 635585924776181463, trisa-triru-aquadquadyo |
| Mapping: [{{val|1 0 3 -11}}, {{val|0 7 -3 61}}]<br>
| | * [[Bronzismic temperaments|bronzisma]]: 2097152/2083725, satriru-agugu |
| POTE generator: ~75/64 = 271.607<br>
| | * <s>[[Breeze comma|sesquiquartisma]]</s>: 2460375/2458624, laquadru-atruyo (→ breezema, breeze comma) |
| Vals: 53, 137d, 190, 243<br>
| | * [[Mitonismic temperaments|mitonisma]]: 5250987/5242880, laquadzo-agu |
| Badness: 0.088355<br><br>
| | * [[Sensamagicfifths temperaments|sensamagicfifths comma]]: {{monzo|-11 42 -7 -14}}, trila-seprurugu |
| ; [[Semicomma family #Quadrawell|Quadrawell]] (31 & 212)
| | * [[Secanticorn temperaments|secanticornisma]]: 177147/175000, laruquingu |
| '''7-limit'''<br>
| | * [[Supermatertismic temperaments|supermatertisma]]: 52734375/52706752, lasepru-atritriyo |
| Comma list: 2401/2400, 2109375/2097152<br>
| | * [[Supermasesquartismic temperaments|supermasesquartisma]]: 184528125/184473632, laquadbiru-aquinyo |
| Mapping: [{{val|1 7 0 3}}, {{val|0 -28 12 -1}}]<br>
| | * [[Septimirod temperaments|septimirod comma]]: 84035/82944, quinzo-ayo |
| 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 & 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">June 2021</font>''' |
| ; [[Semicomma family #Rainwell|Rainwell]] (31 & 265)
| | * [[Vorwell clan|vorwell comma]]: 134217728/133984375, sasatriru-aquadbigu |
| '''7-limit'''<br>
| | * [[Maitri clan|maitri comma]]: 40353607/40000000, tritrizo-asepgu |
| Comma list: 16875/16807, 2100875/2097152<br>
| | * [[Compass temperaments|compass comma]]: 9765625/9680832, quinruyoyo |
| Mapping: [{{val|1 14 -3 6}}, {{val|0 -35 15 -9}}]<br>
| |
| POTE generator: ~2625/2048 = 425.673<br>
| |
| Vals: 31, 172, 203, 234, 265, 296<br>
| |
| Badness: 0.143488<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 540/539, 1375/1372, 2100875/2097152<br>
| |
| Mapping: [{{val|1 14 -3 6 29}}, {{val|0 -35 15 -9 -72}}]<br>
| |
| POTE generator: ~2625/2048 = 425.679<br>
| |
| 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">July 2021</font>''' |
| ; [[Hemimean clan #Sengagen|Sengage]] (49f&50)
| | * [[4375/4356|fantares comma]]: 4375/4356, luluzoquadyo |
| '''13-limit'''<br>
| | * [[Septiness clan|septiness comma]]: 67108864/66706983, sasasepru |
| Comma list: 144/143, 196/195, 364/363, 625/624<br>
| | * [[Decovulture temperaments|decovulture comma]]: 67108864/66976875, sasa-birugugu |
| Mapping: [{{val|1 1 2 2 3 3}}, {{val|0 29 16 40 23 35}}]<br>
| | * [[Pontiqak temperaments|pontiqak comma]]: 95703125/95551488, lazozotritriyo |
| 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">August 2021</font>''' |
| ; [[Kleismic family #Marfifths|Marfifths]] (19 & 140)
| | * [[Slither clan|slither comma]]: 40960000/40353607, satritriru-aquadyo |
| '''7-limit'''<br>
| | * [[Mermismic temperaments|mermisma]]: 2500000/2470629, sepruyo |
| Comma list: 10976/10935, 15625/15552<br>
| | * [[Valenwuer temperaments|valenwuer comma]]: 110592/109375, sarutribigu |
| Mapping: [{{val|1 -6 -4 -17}}, {{val|0 18 15 47}}]<br>
| | * [[Negricorn temperaments|negricorn comma]]: 153664/151875, saquadzogu |
| POTE generator: ~75/56 = 505.705<br>
| | * [[Parkleiness temperaments|parkleiness comma]]: 1959552/1953125, zotritrigu |
| Vals: 19, 121, 140, 579, 719, 859bcd, 999bcd, 1858bbccdd<br>
| | * [[Mynaslendic temperaments|mynaslender comma]]: 829440/823543, sepru-ayo |
| 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 & 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 & 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">September 2021</font>''' |
| '''<font style="font-size: 1.15em">1 May 2021</font>''' | | * [[65536/64827|buzzardisma]]: 65536/64827, saquadru (→ buzzardsma, buzzard comma) |
| ; [[Stearnsmic clan #Garistearn|Garistearn]] (94 & 282)
| | * [[Neptunismic temperaments|neptunisma]]: 48828125/48771072, laruruleyo |
| '''7-limit'''<br>
| |
| Comma list: 118098/117649, 33554432/33480783<br>
| |
| Mapping: [{{val|94 149 0 264}}, {{val|0 0 1 0}}]<br>
| |
| POTE generator: ~5/4 = 386.7805<br>
| |
| 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 & 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 & 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 & 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">October 2021</font>''' |
| ; [[Schismatic family #Pontiac|Helenoid]] (53 & 118)
| | * [[Domicomp temperaments|domicomp comma]]: 413343/409600, lazogugu |
| '''11-limit'''<br>
| |
| 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 & 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 & 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 & 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>
| |
| '''17-limit'''<br>
| |
| Comma list: 625/624, 729/728, 1089/1088, 1225/1224, 2880/2873<br>
| |
| Mapping: [{{val|2 3 6 -1 2 13 -2}}, {{val|0 1 -8 39 29 -33 60}}]<br>
| |
| POTE generator: ~3/2 = 701.765<br>
| |
| Vals: 106g, 118, 224, 342, 566f<br>
| |
| Badness: 0.027051<br><br>
| |
| ; [[Schismatic family #Pontiac|Counterbipont]] (224 & 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>
| |
| '''17-limit'''<br>
| |
| Comma list: 715/714, 936/935, 1089/1088, 1225/1224, 32805/32768<br>
| |
| Mapping: [{{val|2 3 6 -1 2 -6 -2}}, {{val|0 1 -8 39 29 79 60}}]<br>
| |
| POTE generator: ~3/2 = 701.764<br>
| |
| Vals: 106fg, 118f, 224, 342f, 566, 908fg, 1474cffgg<br>
| |
| Badness: 0.025251<br><br>
| |
| ; [[Schismatic family #Pontiac|Quadrapont]] (224 & 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>''' | | '''<font style="font-size: 1.15em">November 2021</font>''' |
| ; [[Metric microtemperaments #Decimetra|Decimetra]] (50 & 140)
| | * [[Trienstonisma|trienstonisma]]: 43046721/43025920, laquinru-agu |
| '''7-limit'''<br>
| | * [[Lokismic temperaments|lokisma]]: 102760448/102515625, sasazozo-atribigu |
| 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 & 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>'''
| | ===<font style="font-size: 1.15em">Proposed in 2022</font>=== |
| ; [[Vishnuzmic family #Decavish|Decavish]] (50 & 270)
| | '''<font style="font-size: 1.15em">January 2022</font>''' |
| '''7-limit'''<br>
| | * [[Countriton comma|countriton comma]]: 16777216000000000 / 16677181699666569, quadsa-tritriyo |
| Comma list: 420175/419904, 2202927104/2197265625<br>
| | * [[3042/3025|diagassormisma]]: 3042/3025, bitholugu |
| Mapping: [{{val|10 13 22 24}}, {{val|0 7 3 10}}]<br>
| | * [[Gaster temperament|gaster comma]]: {{monzo|-70 72 -19}}, quadbila-negu |
| POTE generator: ~25/24 = 71.129<br>
| | * [[Mabilismic clan|mabilisma]]: 1071875/1048576, latrizo-aquinyo |
| Vals: 50, 220, 270, 1400, 1670, 1940, 2210c, 2480c<br>
| | * [[pentonisma]]: 281974669312/281950621875, saquinthuzogu |
| 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 & 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>''' | | '''<font style="font-size: 1.15em">February 2022</font>''' |
| ; [[Ragismic microtemperaments #Ennealimmal|Ennealimmia]] (171 & 270)
| | * [[8281/8192|diahuntmisma]]: 8281/8192, labithozo |
| '''11-limit'''<br>
| | * [[3645/3584|schismean comma]]: 3645/3584, laruyo |
| 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 & 217)
| |
| <font style="font-size: 0.85em">(Name revised from ''Paraklein'' by [[User:FloraC|Flora Canou]] 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 & 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 & 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 & 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 & 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 & 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 & 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 & 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 & 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 & 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|Semiterm]] (12 & 342)
| |
| <font style="font-size: 0.85em">(Name revised from ''Hemiterm'' by [[User:FloraC|Flora Canou]] on 16 October 2021)</font><br>
| |
| '''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>'''
| |
| ; [[Breedsmic temperaments #Septidiasemi|Sedia]] (10 & 161)
| |
| '''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>'''
| |
| ; [[Kleismic family #Marthirds|Marthirds]] (19 & 193)
| |
| '''7-limit'''<br>
| |
| 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>'''
| |
| ; [[Ragismic microtemperaments #Counterkleismic|Counterkleismic]] (19 & 224)
| |
| '''7-limit'''<br>
| |
| Comma list: 4375/4374, 158203125/157351936<br>
| |
| Mapping: [{{val|1 -5 -4 -18}}, {{val|0 25 24 79}}]<br>
| |
| POTE generator: ~6/5 = 316.060<br>
| |
| Vals: 19, 205, 224, 243, 467<br>
| |
| 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 & 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>'''
| |
| ; [[Metric microtemperaments #Geb|Geb]] (171 & 506)
| |
| '''5-limit'''<br>
| |
| 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>'''
| |
| ; [[Hewuermera temperaments #Hemidimfi|Hemidimfi]] (130 & 193)
| |
| '''7-limit'''<br>
| |
| 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>'''
| |
| ; [[Maquila family #Maquiloid|Maquiloid]] (9 & 56)
| |
| '''7-limit'''<br>
| |
| 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>'''
| |
| ; [[Amity family #Paramity|Paramity]] (53 & 311)
| |
| '''7-limit'''<br>
| |
| 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">1 June 2021</font>'''
| |
| ; [[Tritrizo clan #Schisennealimmal|Schisennealimmal]] (171 & 342)
| |
| '''11-limit'''<br>
| |
| Comma list: 2401/2400, 4375/4374, 32805/32768<br>
| |
| 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 & 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>'''
| |
| ; [[Compton family #Decades|Decades]] (36 & 72)
| |
| '''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>'''
| |
| ; [[Tritrizo clan #Undecentic|Undecentic]] (99 & 198)
| |
| '''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>'''
| |
| ; [[Cloudy clan #Pentadecal|Pentadecal]] (15 & 60)
| |
| '''7-limit'''<br>
| |
| Comma list: 875/864, 16807/16384<br>
| |
| Mapping: [{{val|15 0 11 42}}, {{val|0 1 1 0}}]<br>
| |
| POTE generator: ~3/2 = 700.223<br>
| |
| Vals: 15, 45, 60<br>
| |
| 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>'''
| |
| ; [[Cloudy clan #Quinkee|Quinkee]] (15 & 55)
| |
| '''7-limit'''<br>
| |
| Comma list: 1029/1000, 6144/6125<br>
| |
| Mapping: [{{val|5 9 12 14}}, {{val|0 -3 -1 0}}]<br>
| |
| POTE generator: ~5/4 = 393.439<br>
| |
| Vals: 15, 40, 55, 125cd, 180ccdd<br>
| |
| Badness: 0.184222<br><br>
| |
| '''11-limit'''<br>
| |
| 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>'''
| |
| ; [[Ditonmic family #Coditone|Coditonic]] (3de & 53)
| |
| <font style="font-size: 0.85em">(''Proposed name for disambiguation of coditone extension'')</font><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 99/98, 176/175, 6655/6561<br>
| |
| 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>'''
| |
| ; [[Landscape microtemperaments #Terture|Terture]] (111 & 159)
| |
| '''7-limit'''<br>
| |
| 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 & 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 & 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>
| |
| ; [[Quindromeda family|Quindromeda]] (12 & 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>
| |
| ; [[Quindromeda family #Quintakwai|Quintakwai]] (12 & 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>
| |
| ; [[Quindromeda family #Quintagar|Quintagar]] (12 & 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>
| |
| ; [[Quindromeda family #Quintagar|Quintoneum]] (12 & 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>
| |
| ; [[Quindromeda family #Quintagar|Quinsandra]] (217 & 229)
| |
| <font style="font-size: 0.85em">(Name revised from ''Quintasandra'' on 20 January 2022)</font><br>
| |
| '''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>
| |
| ; [[Quindromeda family #Quintagar|Quinsandric]] (12 & 229)
| |
| <font style="font-size: 0.85em">(Name revised from ''Quintasandroid'' on 20 January 2022)</font><br>
| |
| '''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>
| |
| ; [[Quindromeda family #Quintagar|Quinsandro]] (12 & 229)
| |
| <font style="font-size: 0.85em">(Name revised from ''Quintasand'' on 20 January 2022)</font><br>
| |
| '''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>
| |
| ; [[Quindromeda family #Semiquindromeda|Semiquindromeda]] (12 & 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>'''
| |
| ; [[Quindromeda family #Quintagar|Quintoneoid]] (12 & 217)
| |
| '''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">4 July 2021</font>'''
| |
| ; [[Minortonic family #Mitonic|Mineral]] (46 & 171)
| |
| '''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 & 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>'''
| |
| ; [[Quintaleap family|Quintaleap]] (12 & 121)
| |
| <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>
| |
| ; [[Quintaleap family #Quintupole|Quintupole]] (12 & 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: ~35/33 = 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: ~35/33 = 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>'''
| |
| ; [[Quintaleap family #Quinticosiennic|Quinticosiennic]] (12 & 145)
| |
| '''7-limit'''<br>
| |
| Comma list: 5120/5103, 395136/390625<br>
| |
| Mapping: [{{val|1 2 1 -1}}, {{val|0 -5 16 46}}]<br>
| |
| POTE generator: ~135/128 = 99.345<br>
| |
| Vals: 12, 133, 145, 157, 302c, 459bcc<br>
| |
| Badness: 0.158041<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 441/440, 896/891, 78408/78125<br>
| |
| Mapping: [{{val|1 2 1 -1 -2}}, {{val|0 -5 16 46 66}}]<br>
| |
| POTE generator: ~35/33 = 99.318<br>
| |
| 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>
| |
| ; [[Quintaleap family #Quintapole|Quintapole]] (12 & 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>'''
| |
| ; [[Mirkwai clan #Hemiseptisix|Hemiseptisix]] (103 & 121)
| |
| '''7-limit'''<br>
| |
| Comma list: 16875/16807, 95703125/95551488<br>
| |
| Mapping: [{{val|1 -19 -7 -17}}, {{val|0 53 24 51}}]<br>
| |
| POTE generator: ~98/75 = 466.071<br>
| |
| Vals: 18, 103, 121, 224<br>
| |
| Badness: 0.162826<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 540/539, 1375/1372, 2734375/2725888<br>
| |
| Mapping: [{{val|1 -19 -7 -17 -28}}, {{val|0 53 24 51 81}}]<br>
| |
| POTE generator: ~55/42 = 466.070<br>
| |
| Vals: 103, 121, 224<br>
| |
| Badness: 0.043381<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 540/539, 625/624, 1375/1372, 2200/2197<br>
| |
| Mapping: [{{val|1 -19 -7 -17 -28 -13}}, {{val|0 53 24 51 81 43}}]<br>
| |
| POTE generator: ~55/42 = 466.071<br>
| |
| Vals: 103, 121, 224<br>
| |
| Badness: 0.021127<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 375/374, 540/539, 625/624, 715/714, 2200/2197<br>
| |
| Mapping: [{{val|1 -19 -7 -17 -28 -13 -13}}, {{val|0 53 24 51 81 43 44}}]<br>
| |
| POTE generator: ~17/13 = 466.074<br>
| |
| Vals: 103, 121, 224<br>
| |
| Badness: 0.018611<br><br>
| |
| | |
| ===<font style="font-size: 1.15em">Proposed in August 2021</font>===
| |
| '''<font style="font-size: 1.15em">2 August 2021</font>'''
| |
| ; [[Minortonic family #Mitonic|Goldmine]] (46 & 79)
| |
| '''13-limit'''<br>
| |
| Comma list: 169/168, 325/324, 385/384, 1331/1323<br>
| |
| Mapping: [{{val|1 -1 -3 6 3 4}}, {{val|0 17 35 -21 3 -2}}]<br>
| |
| POTE generator: ~10/9 = 182.437<br>
| |
| Vals: 46, 79, 125f, 171ef, 296eff<br>
| |
| Badness: 0.039302<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 169/168, 273/272, 325/324, 385/384, 1331/1323<br>
| |
| 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>'''
| |
| ; [[Counterpyth family #Gamelapyth|Gamelapyth]] (41 & 164)
| |
| '''7-limit'''<br>
| |
| 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 & 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>'''
| |
| ; [[Hemfiness temperaments #Undesemi|Undesemi]] (15 & 224)
| |
| '''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 & 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 & 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>'''
| |
| ; [[Mirkwai clan #Septendesemi|Septendesemi]] (80 & 103)
| |
| '''7-limit'''<br>
| |
| 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>'''
| |
| ; [[Wizmic microtemperaments #Witch|Witch]] (99 & 265)
| |
| '''7-limit'''<br>
| |
| 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>
| |
| '''11-limit'''<br>
| |
| Comma list: 540/539, 4375/4356, 1240029/1239040<br>
| |
| Mapping: [{{val|1 -7 -20 -2 -35}}, {{val|0 25 65 14 112}}]<br>
| |
| POTE generator: ~80/63 = 412.079<br>
| |
| Vals: 99e, 166, 265<br>
| |
| Badness: 0.082607<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 540/539, 729/728, 4375/4356, 10648/10647<br>
| |
| Mapping: [{{val|1 -7 -20 -2 -35 -43}}, {{val|0 25 65 14 112 136}}]<br>
| |
| POTE generator: ~33/26 = 412.070<br>
| |
| Vals: 99ef, 166, 265, 431c, 696cc<br>
| |
| Badness: 0.057980<br><br>
| |
| ; [[Wizmic microtemperaments #Witch|Semiwitch]] (166 & 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 & 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 & 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>'''
| |
| ; [[Semicomma family #Quinwell|Quinwell]] (22 & 243)
| |
| '''7-limit'''<br>
| |
| Comma list: 420175/419904, 2109375/2097152<br>
| |
| Mapping: [{{val| 1 0 3 0 }}, {{val| 0 35 -15 62 }}]<br>
| |
| POTE generator: ~405/392 = 54.324<br>
| |
| 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>'''
| |
| ; [[Schismatic family #Septiquarschis|Septiquarschis]] (89 & 94)
| |
| '''7-limit'''<br>
| |
| 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>'''
| |
| ; [[Semicomma family #Quinbetter|Quinbetter]] (22 & 221e)
| |
| '''11-limit'''<br>
| |
| Comma list: 385/384, 24057/24010, 43923/43750<br>
| |
| Mapping: [{{val| 1 0 3 0 4 }}, {{val| 0 35 -15 62 -12 }}]<br>
| |
| POTE generator: ~405/392 = 54.316<br>
| |
| Vals: 22, 199d, 221e, 243e<br>
| |
| Badness: 0.078657<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">22 August 2021</font>'''
| |
| ; [[Archytas clan #Ultrapyth|Ultramarine]] (5e & 37)
| |
| <font style="font-size: 0.85em">(Name revised from ''Counterultrapyth'' on 8 January 2022)</font><br>
| |
| '''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">March 2022</font>''' |
| ; [[Hemimean clan #Mowglic|Mowglic]] (19 & 161)
| | * [[Acrodec temperaments|acrodec comma]]: 7710244864/7688671875, sasa-tribizo-aquadbigu |
| '''7-limit'''<br>
| | * [[120/119|lynchisma]]: 120/119, suruyo |
| 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">May 2022</font>''' |
| '''<font style="font-size: 1.15em">4 September 2021</font>''' | | * [[Augmist temperaments|augmist comma]]: 1438646272/1423828125, sasa-trizotrigu |
| ; [[Schismatic family #Term|Terminator]] (171 & 183)
| | * [[Starling temperaments|supersensi comma]]: 33059881728/30517578125, quintrigu |
| '''11-limit'''<br>
| |
| Comma list: 540/539, 32805/32768, 137781/137500<br>
| |
| 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 2023</font>=== |
| ; [[Schismatic family #Quintaschis|Quintaschis]] (12 & 289)
| | '''<font style="font-size: 1.15em">11 May 2023</font>''' |
| '''7-limit'''<br>
| | * [[syntonisma]]: {{monzo|30 -27 7 0 -1}}, trisa-lusepyo |
| Comma list: 32805/32768, 49009212/48828125<br>
| |
| 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 & 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 & 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">27 May 2023</font>''' |
| ; [[Würschmidt family #Hemiwürschmidt|Semihemiwür]] (68 & 130)
| | * [[170/169|major naiadma]]: 170/169, sothuthuyo |
| <font style="font-size: 0.85em">(''Proposed name for disambiguation of hemiwürschmidt extension'')</font><br>
| | * [[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, 3136/3125, 9801/9800<br>
| | * [[442/441|seminaiadma]]: 442/441, sothoruru |
| 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>
| |
| ; [[Würschmidt family #Hemiwürschmidt|Semihemiwürat]] (68 & 130)
| |
| <font style="font-size: 0.85em">(Name revised from ''Semihemiwür'' by [[User:FloraC|Flora Canou]] on 3 October 2021)</font><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 & 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 & 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">18 July 2023</font>''' |
| ; [[Quindromeda family #Quintakwai|Quinkwai]] (12f & 181)
| | * [[grossmisma]]: {{monzo|-30 -13 -1 1 7 7}}, septholo-azogu |
| '''13-limit'''<br>
| |
| Comma list: 352/351, 847/845, 1375/1372, 4375/4356<br>
| |
| Mapping: [{{val|1 2 0 -2 -4 -5}}, {{val|0 -5 28 58 90 105}}]<br>
| |
| POTE generator: ~35/33 = 99.456<br>
| |
| Vals: 12f, 169e, 181<br>
| |
| Badness: 0.061873<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 352/351, 375/374, 595/594, 833/832, 1375/1372<br>
| |
| Mapping: [{{val|1 2 0 -2 -4 -5 5}}, {{val|0 -5 28 58 90 105 -11}}]<br>
| |
| POTE generator: ~18/17 = 99.458<br>
| |
| Vals: 12f, 169e, 181, 374ff, 555cff<br>
| |
| Badness: 0.043506<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 352/351, 375/374, 400/399, 495/494, 595/594, 1375/1372<br>
| |
| Mapping: [{{val|1 2 0 -2 -4 -5 5 4}}, {{val|0 -5 28 58 90 105 -11 3}}]<br>
| |
| POTE generator: ~18/17 = 99.459<br>
| |
| Vals: 12f, 169e, 181, 374ff, 555cff<br>
| |
| Badness: 0.031313<br><br>
| |
| ; [[Quindromeda family #Quintakwai|Quintakwoid]] (12f & 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">21 July 2023</font>''' |
| ; [[Passion family #Passionate|Passionate]] (12 & 61)
| | * [[3971/3969|heartlandisma]]: 3971/3969, nonoloruru |
| '''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 & 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">23 July 2023</font>''' |
| ; [[Parkleiness temperaments #Majvamic|Majvamic]] (183 & 217)
| | * [[171/170|malcolmisma]]: 171/170, nosugu |
| '''7-limit'''<br>
| | * [[190/189|cotylisma]]: 190/189, noruyo |
| Comma list: 1959552/1953125, 67108864/66976875<br>
| | * [[324/323|photisma]]: 324/323, nusu |
| Mapping: [{{val|1 10 5 -32}}, {{val|0 -22 -7 91}}]<br>
| | * [[343/342|nutrisma]]: 343/342, nutrizo |
| POTE generator: ~125/96 = 459.001<br>
| | * [[400/399|devichroma]]: 400/399, nuruyoyo |
| Vals: 34, 149d, 183, 217, 400<br>
| | * [[devicisma]]: 633556/633555, nunusothutrilo-azogu |
| Badness: 0.188996<br><br>
| |
| '''11-limit'''<br>
| |
| 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 & 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 & 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">15 August 2023</font>''' |
| ; [[Vulture family #Turkey|Turkey]] (212 & 217)
| | * [[133/132|minithirdma]]: 133/132, noluzo |
| '''7-limit'''<br>
| | * <s>[[136/135|diatonisma]]</s>: 136/135, sogu (→ diatisma) |
| Comma list: 4802000/4782969, 5250987/5242880<br>
| | * [[154/153|augustma]]: 154/153, sulozo |
| Mapping: [{{val|1 8 36 0}}, {{val|0 -16 -84 7}}]<br>
| | * [[161/160|major kirnbergerisma]]: 161/160, twethozogu |
| POTE generator: ~1715/1296 = 481.120<br>
| | * [[162/161|minor kirnbergerisma]]: 162/161, twethuru |
| Vals: 5, 207c, 212, 429<br>
| | * [[286/285|chthonisma]]: 286/285, nuthologu |
| Badness: 0.210964<br><br>
| | * [[1275/1274|cimbrisma]]: 1275/1274, sothubiruyo |
| '''11-limit'''<br>
| | * [[galileisma]]: 171382426877952 / 171359481538165, lalesu-agu |
| 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">16 August 2023</font>''' |
| '''<font style="font-size: 1.15em">2 October 2021</font>''' | | * [[85/84|monk comma]]: 85/84, soruyo |
| ; [[Tritrizo clan #Lunennealimmal|Lunennealimmal]] (441 & 882)
| | * [[456/455|abnobisma]]: 456/455, nothulugu |
| '''11-limit'''<br>
| | * [[476/475|hedwigma]]: 476/475, nusozogugu |
| Comma list: 2401/2400, 4375/4374, 274877906944/274658203125<br>
| | * [[495/494|eulalisma]]: 495/494, nuthuloyo |
| 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>
| |
|
| |
|
| '''<font style="font-size: 1.15em">3 October 2021</font>''' | | '''<font style="font-size: 1.15em">21 August 2023</font>''' |
| ; [[Ragismic microtemperaments #Octoid|Hexadecoid]] (80 & 144)
| | * [[363/361|godzillisma]]: 363/361, binulo |
| '''13-limit'''<br>
| | * [[2431/2430|heptacircle comma]]: 2431/2430, sothologu |
| Comma list: 540/539, 1375/1372, 4000/3993, 4225/4224<br>
| |
| Mapping: [{{val|16 26 38 46 56 59}}, {{val|0 -3 -4 -5 -3 1}}]<br>
| |
| POTE generator: ~13/8 = 841.015<br>
| |
| Vals: 80, 144, 224<br>
| |
| Badness: 0.030818<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 540/539, 715/714, 936/935, 4000/3993, 4225/4224<br>
| |
| Mapping: [{{val|16 26 38 46 56 59 65}}, {{val|0 -3 -4 -5 -3 1 2}}]<br>
| |
| POTE generator: ~13/8 = 840.932<br>
| |
| Vals: 80, 144, 224, 528dg<br>
| |
| Badness: 0.028611<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 400/399, 540/539, 715/714, 936/935, 1331/1330, 1445/1444<br>
| |
| Mapping: [{{val|16 26 38 46 56 59 65 68}}, {{val|0 -3 -4 -5 -3 1 2 0}}]<br>
| |
| POTE generator: ~13/8 = 840.896<br>
| |
| Vals: 80, 144, 224, 304dh, 528dghh<br>
| |
| Badness: 0.023731<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">9 October 2021</font>''' | | '''<font style="font-size: 1.15em">26 August 2023</font>''' |
| ; [[Hemimean clan #Undetrita|Undetrita]] (111 & 118)
| | * [[1083/1078|bihendrixma]]: 1083/1078, nonolururu |
| '''7-limit'''<br>
| |
| Comma list: 3136/3125, 14348907/14336000<br>
| |
| Mapping: [{{val|1 0 -2 -8}}, {{val|0 11 30 75}}]<br>
| |
| POTE generator: ~448/405 = 172.917<br>
| |
| Vals: 111, 118, 229, 347, 576c<br>
| |
| Badness: 0.114188<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 3025/3024, 3136/3125, 8019/8000<br>
| |
| Mapping: [{{val|1 0 -2 -8 0}}, {{val|0 11 30 75 24}}]<br>
| |
| POTE generator: ~400/363 = 172.912<br>
| |
| Vals: 111, 118, 229, 347<br>
| |
| Badness: 0.043883<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 352/351, 729/728, 1001/1000, 3025/3024<br>
| |
| Mapping: [{{val|1 0 -2 -8 0 5}}, {{val|0 11 30 75 24 -9}}]<br>
| |
| POTE generator: ~72/65 = 172.930<br>
| |
| Vals: 111, 229f<br>
| |
| Badness: 0.038771<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">12 October 2021</font>''' | | '''<font style="font-size: 1.15em">27 August 2023</font>''' |
| ; [[Fractional-octave temperaments #37th-octave temperaments|Rubidium]] (37 & 111)
| | * [[No-fives subgroup temperaments #Doublehearted|doublehearted comma]]: 5764801/5668704, quadbizo |
| '''7-limit'''<br>
| | * [[No-fives subgroup temperaments #Hearts|hearts comma]]: 34451725707/34359738368, trila-quadzo |
| Comma list: 3136/3125, 4194304/4117715<br>
| |
| Mapping: [{{val|37 0 86 104}}, {{val|0 1 0 0}}]<br>
| |
| POTE generator: ~3/2 = 703.3903<br>
| |
| Vals: 37, 74, 111<br>
| |
| Badness: 0.312105<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 176/175, 1375/1372, 65536/65219<br>
| |
| Mapping: [{{val|37 0 86 104 128}}, {{val|0 1 0 0 0}}]<br>
| |
| POTE generator: ~3/2 = 703.0355<br>
| |
| Vals: 37, 74, 111<br>
| |
| Badness: 0.101001<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 176/175, 640/637, 847/845, 1375/1372<br>
| |
| Mapping: [{{val|37 0 86 104 128 137}}, {{val|0 1 0 0 0 0}}]<br>
| |
| POTE generator: ~3/2 = 703.0520<br>
| |
| Vals: 37, 74, 111<br>
| |
| Badness: 0.048732<br><br>
| |
| ; [[Fractional-octave temperaments #Terbium|Terbium]] (65 & 130)
| |
| '''7-limit'''<br>
| |
| Comma list: 32805/32768, 78732/78125<br>
| |
| Mapping: [{{val|65 103 151 0}}, {{val|0 0 0 1}}]<br>
| |
| POTE generator: ~8/7 = 230.8641<br>
| |
| Vals: 65, 130<br>
| |
| Badness: 0.169778<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 243/242, 4000/3993, 5632/5625<br>
| |
| Mapping: [{{val|65 103 151 0 225}}, {{val|0 0 0 1 0}}]<br>
| |
| POTE generator: ~8/7 = 230.4285<br>
| |
| Vals: 65d, 130<br>
| |
| Badness: 0.059966<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 243/242, 351/350, 2080/2079, 3584/3575<br>
| |
| Mapping: [{{val|65 103 151 0 225 58}}, {{val|0 0 0 1 0 1}}]<br>
| |
| POTE generator: ~8/7 = 230.0388<br>
| |
| Vals: 65d, 130<br>
| |
| Badness: 0.036267<br><br>
| |
| ; [[Fractional-octave temperaments #Parakleischis|Parakleischis]] (118 & 354)
| |
| '''7-limit'''<br>
| |
| Comma list: 32805/32768, 1224440064/1220703125<br>
| |
| Mapping: [{{val|118 187 274 0}}, {{val|0 0 0 1}}]<br>
| |
| POTE generator: ~8/7 = 231.2765<br>
| |
| Vals: 118, 236, 354, 472, 2242, 2714b, 3186b, 3658b<br>
| |
| Badness: 0.145166<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 9801/9800, 32805/32768, 137781/137500<br>
| |
| Mapping: [{{val|118 187 274 0 77}}, {{val|0 0 0 1 1}}]<br>
| |
| POTE generator: ~8/7 = 231.4883<br>
| |
| Vals: 118, 354, 472<br>
| |
| Badness: 0.049316<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">13 October 2021</font>''' | | '''<font style="font-size: 1.15em">17 September 2023</font>''' |
| ; [[Fractional-octave temperaments #37th-octave temperaments|Triacontaheptoid]] (37 & 296)
| | * [[4914/4913|baladisma]]: 4914/4913, trisu-athozo |
| '''7-limit'''<br>
| |
| Comma list: 244140625/242121642, 283115520/282475249<br>
| |
| Mapping: [{{val|37 23 74 92}}, {{val|0 3 1 1}}]<br>
| |
| POTE generator: ~5/4 = 385.3041<br>
| |
| Vals: 37, 259b, 296, 629, 925c<br>
| |
| Badness: 0.784746<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 1375/1372, 4000/3993, 226492416/226474325<br>
| |
| Mapping: [{{val|37 23 74 92 128}}, {{val|0 3 1 1 0}}]<br>
| |
| POTE generator: ~5/4 = 385.3281<br>
| |
| Vals: 37, 259b, 296, 629<br>
| |
| Badness: 0.167327<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 625/624, 1375/1372, 4000/3993, 15379/15360<br>
| |
| Mapping: [{{val|37 23 74 92 128 125}}, {{val|0 3 1 1 0 1}}]<br>
| |
| POTE generator: ~5/4 = 385.3067<br>
| |
| Vals: 37, 259b, 296, 629f, 925cf<br>
| |
| Badness: 0.076183<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 625/624, 715/714, 1225/1224, 4000/3993, 11271/11264<br>
| |
| Mapping: [{{val|37 23 74 92 128 125 175}}, {{val|0 3 1 1 0 1 -2}}]<br>
| |
| POTE generator: ~5/4 = 385.3427<br>
| |
| Vals: 37, 259b, 296, 629f<br>
| |
| Badness: 0.052475<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">18 October 2021</font>''' | | '''<font style="font-size: 1.15em">5 November 2023</font>''' |
| ; [[Parkleiness temperaments #Octogintic|Octogintic]] (80 & 320)
| | * [[969/968|buddhisma]]: 969/968, nosolulu (→ kingfisher comma) |
| '''7-limit'''<br>
| | * [[1331/1330|solvejgsma]]: 1331/1330, nutrilo-arugu |
| Comma list: 1959552/1953125, 645700815/645657712<br>
| | * [[1540/1539|kevolisma]]: 1540/1539, nulozoyo |
| Mapping: [{{val|80 127 186 225}}, {{val|0 -1 -1 -2}}]<br>
| | * [[2376/2375|trichthonisma]]: 2376/2375, nulotrigu |
| POTE generator: ~3/2 = 701.940<br>
| | * [[2926/2925|neovulturisma]]: 2926/2925, nothulozogugu |
| Vals: 80, 320, 400<br>
| | * [[3136/3135|neomirkwaisma]]: 3136/3135, nuluzozogu |
| Badness: 0.307033<br><br>
| | * [[3250/3249|martebisma]]: 3250/3249, nunuthotriyo |
| '''11-limit'''<br>
| | * [[4200/4199|neosatanisma]]: 4200/4199, nusuthuzoyoyo |
| Comma list: 9801/9800, 46656/46585, 391314/390625<br>
| | * [[5776/5775|neovishma]]: 5776/5775, nonolurugugu |
| Mapping: [{{val|80 127 186 225 277}}, {{val|0 -1 -1 -2 -1}}]<br>
| | * [[5985/5984|neogrendelisma]]: 5985/5984, nosuluzoyo |
| POTE generator: ~3/2 = 701.982<br>
| | * [[6175/6174|neonewtisma]]: 6175/6174, nothotriru-ayoyo |
| Vals: 80, 320, 400<br>
| |
| Badness: 0.067939<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 1001/1000, 4225/4224, 4459/4455, 46656/46585<br>
| |
| Mapping: [{{val|80 127 186 225 277 296}}, {{val|0 -1 -1 -2 -1 0}}]<br>
| |
| POTE generator: ~3/2 = 701.796<br>
| |
| Vals: 80, 320, 400, 720, 1120<br>
| |
| Badness: 0.046158<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 936/935, 1001/1000, 1377/1375, 4225/4224, 4459/4455<br>
| |
| Mapping: [{{val|80 127 186 225 277 296 327}}, {{val|0 -1 -1 -2 -1 0 0}}]<br>
| |
| POTE generator: ~3/2 = 701.800<br>
| |
| Vals: 80, 320, 400, 720, 1120<br>
| |
| Badness: 0.029279<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 936/935, 969/968, 1001/1000, 1377/1375, 1521/1520, 3136/3135<br>
| |
| Mapping: [{{val|80 127 186 225 277 296 327 340}}, {{val|0 -1 -1 -2 -1 0 0 -1}}]<br>
| |
| POTE generator: ~3/2 = 701.784<br>
| |
| Vals: 80, 320, 400, 720h, 1120h<br>
| |
| Badness: 0.021470<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">19 October 2021</font>''' | | '''<font style="font-size: 1.15em">12 November 2023</font>''' |
| ; [[Ragismic microtemperaments #Seniority|Senator]] (26 & 145)
| | * [[460/459|scanisma]]: 460/459, twethosuyo |
| '''11-limit'''<br>
| | * [[484/483|pittsburghisma]]: 484/483, twethuloloru |
| Comma list: 441/440, 4375/4374, 65536/65219<br>
| | * [[507/506|laodicisma]]: 507/506, twethuthotholu |
| Mapping: [{{val|1 11 19 2 4}}, {{val|0 -35 -62 3 -2}}]<br>
| | * [[529/528|preziosisma]]: 529/528, bitwetho-alu |
| POTE generator: ~77/64 = 322.793<br>
| | * [[736/735|harvardisma]]: 736/735, twethorurugu |
| Vals: 26, 119c, 145, 171, 316e, 487ee<br>
| | * [[760/759|squadronisma]]: 760/759, twethunoluyo |
| Badness: 0.092238<br><br>
| | * [[875/874|nymphisma]]: 875/874, twethunuzotriyo |
| '''13-limit'''<br>
| | * [[897/896|lysistratisma]]: 897/896, twethothoru |
| Comma list: 364/363, 441/440, 2200/2197, 4375/4374<br>
| | * [[1105/1104|fragarisma]]: 1105/1104, twethusothoyo |
| Mapping: [{{val|1 11 19 2 4 15}}, {{val|0 -35 -62 3 -2 -42}}]<br>
| | * [[1197/1196|rhodesisma]]: 1197/1196, twethunothuzo |
| POTE generator: ~77/64 = 322.793<br>
| | * [[1288/1287|santisma]]: 1288/1287, twethothuluzo |
| Vals: 26, 119c, 145, 171, 316ef, 487eef<br>
| | * [[1496/1495|turkisma]]: 1496/1495, twethusothulogu |
| Badness: 0.044662<br><br>
| | * [[1863/1862|antinousisma]]: 1863/1862, twethonururu |
| '''17-limit'''<br>
| | * [[2024/2023|insincere comma]]: 2024/2023, twethosusuloru |
| Comma list: 364/363, 441/440, 595/594, 1156/1155, 2200/2197<br>
| | * <s>[[2025/2024|fokkerisma]]</s>: 2025/2024, latwethuluyoyo (→ cupcakesma, cupcake comma) |
| Mapping: [{{val|1 11 19 2 4 15 17}}, {{val|0 -35 -62 3 -2 -42 -48}}]<br>
| | * [[2185/2184|guangdongisma]]: 2185/2184, twethonothuruyo |
| POTE generator: ~77/64 = 322.793<br>
| | * [[2300/2299|travellisma]]: 2300/2299, twethonubiluyo |
| Vals: 26, 119c, 145, 171, 316ef, 487eef<br>
| | * [[2646/2645|biyativice comma]]: 2646/2645, bitwethuzo-agu |
| Badness: 0.026562<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">20 October 2021</font>''' | | '''<font style="font-size: 1.15em">13 November 2023</font>''' |
| ; [[Starling temperaments #Valentine|Hemivalentine]] (30 & 31)
| | * [[208/207|vicetone comma]]: 208/207, twethutho |
| '''13-limit'''<br>
| | * [[231/230|major neutravicema]]: 231/230, twethulozogu |
| Comma list: 121/120, 126/125, 176/175, 343/338<br>
| | * [[253/252|middle neutravicema]]: 253/252, twetholoru |
| Mapping: [{{val| 1 1 2 3 3 4 }}, {{val| 0 18 10 -6 14 -9 }}]<br>
| | * [[276/275|minor neutravicema]]: 276/275, twetholugugu |
| POTE generator: ~40/39 = 39.044<br>
| | * [[300/299|major naiadvicema]]: 300/299, twethuthuyoyo |
| Vals: 30, 31, 61, 92f, 123f<br>
| | * [[323/322|major semivicema]]: 323/322, twethunosoru |
| Badness: 0.047059<br><br>
| | * [[391/390|minor naiadvicema]]: 391/390, twethosothugu |
| ; [[Starling temperaments #Valentine|Hemivalentino]] (31 & 123)
| | * [[392/391|minor semivicema]]: 392/391, twethusuzozo |
| '''11-limit'''<br>
| | * [[460/459|vicewolf comma]]: 460/459, twethosuyo |
| Comma list: 126/125, 243/242, 1029/1024<br>
| | * [[5083/5082|broadviewsma]]: 5083/5082, twethosotholuluru |
| Mapping: [{{val| 1 1 2 3 2 }}, {{val| 0 18 10 -6 45 }}]<br>
| |
| POTE generator: ~45/44 = 38.921<br>
| |
| Vals: 31, 92e, 123, 154, 185<br>
| |
| Badness: 0.061275<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 126/125, 196/195, 243/242, 1029/1024<br>
| |
| Mapping: [{{val| 1 1 2 3 2 5 }}, {{val| 0 18 10 -6 45 -40 }}]<br>
| |
| POTE generator: ~45/44 = 38.948<br>
| |
| Vals: 31, 92e, 123, 154<br>
| |
| Badness: 0.057919<br><br>
| |
| ; [[Starling temperaments #Valentine|Hemivalentoid]] (31 & 61e)
| |
| '''13-limit'''<br>
| |
| Comma list: 126/125, 144/143, 243/242, 343/338<br>
| |
| Mapping: [{{val| 1 1 2 3 2 4 }}, {{val| 0 18 10 -6 45 -9 }}]<br>
| |
| POTE generator: ~40/39 = 38.993<br>
| |
| Vals: 31, 92ef, 123f<br>
| |
| Badness: 0.057931<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">23 October 2021</font>''' | | '''<font style="font-size: 1.15em">15 November 2023</font>''' |
| ; [[Hemimean clan #Undetrita|Undetritoid]] (111 & 229)
| | * [[92/91|undinisma]]: 92/91, twethothuru |
| '''13-limit'''<br>
| | * [[115/114|yarmanisma]]: 115/114, twethonuyo |
| Comma list: 351/350, 1573/1568, 2080/2079, 3136/3125<br>
| |
| Mapping: [{{val|1 0 -2 -8 0 -11}}, {{val|0 11 30 75 24 102}}]<br>
| |
| POTE generator: ~400/363 = 172.933<br>
| |
| Vals: 111, 229<br>
| |
| Badness: 0.042744<br><br>
| |
| ; [[Orwellismic temperaments #Quartonic|Biquartonic]] (26 & 80)
| |
| '''11-limit'''<br>
| |
| Comma list: 1728/1715, 2420/2401, 2560/2541<br>
| |
| Mapping: [{{val|2 4 6 6 7}}, {{val|0 -11 -18 -5 -1}}]<br>
| |
| POTE generator: ~36/35 = 45.129<br>
| |
| Vals: 26, 54c, 80, 186de, 266dde<br>
| |
| Badness: 0.060737<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 169/168, 325/324, 364/363, 640/637<br>
| |
| Mapping: [{{val|2 4 6 6 7 8}}, {{val|0 -11 -18 -5 -1 -8}}]<br>
| |
| POTE generator: ~36/35 = 45.153<br>
| |
| Vals: 26, 54c, 80, 106, 186de<br>
| |
| Badness: 0.039891<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">27 October 2021</font>''' | | '''<font style="font-size: 1.15em">26 November 2023</font>''' |
| ; [[Quindromeda family #Quindro|Quindro]] (205 & 217)
| | * [[E-shaped comma]]: 31213/31212, susuthoquadzo |
| '''7-limit'''<br>
| |
| Comma list: 4375/4374, 72057594037927936/71489976421753125<br>
| |
| Mapping: [{{val|1 2 0 15}}, {{val|0 -5 28 -147}}]<br>
| |
| POTE generator: ~4428675/4194304 = 99.529<br>
| |
| Vals: 205, 217, 422, 639, 1061<br>
| |
| Badness: 0.316850<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 4375/4374, 5632/5625, 25165824/25109315<br>
| |
| Mapping: [{{val|1 2 0 15 -5}}, {{val|0 -5 28 -147 102}}]<br>
| |
| POTE generator: ~17325/16384 = 99.529<br>
| |
| Vals: 205, 217, 422, 639, 1061e<br>
| |
| Badness: 0.085219<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 2080/2079, 4375/4374, 5632/5625, 20480/20449<br>
| |
| Mapping: [{{val|1 2 0 15 -5 11}}, {{val|0 -5 28 -147 102 -88}}]<br>
| |
| POTE generator: ~4096/3861 = 99.529<br>
| |
| Vals: 205, 217, 422, 639, 1061ef<br>
| |
| Badness: 0.039203<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 1156/1155, 2080/2079, 2431/2430, 4375/4374, 5632/5625<br>
| |
| Mapping: [{{val|1 2 0 15 -5 11 5}}, {{val|0 -5 28 -147 102 -88 -11}}]<br>
| |
| POTE generator: ~18/17 = 99.529<br>
| |
| Vals: 205, 217, 422, 639, 1061ef<br>
| |
| Badness: 0.024110<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 1156/1155, 1216/1215, 1445/1444, 2080/2079, 2376/2375, 2431/2430<br>
| |
| Mapping: [{{val|1 2 0 15 -5 11 5 4}}, {{val|0 -5 28 -147 102 -88 -11 3}}]<br>
| |
| POTE generator: ~18/17 = 99.529<br>
| |
| Vals: 205, 217, 422, 639h, 1061efh<br>
| |
| Badness: 0.016764<br><br>
| |
|
| |
|
| ===<font style="font-size: 1.15em">Proposed in November 2021</font>===
| | '''<font style="font-size: 1.15em">1 December 2023</font>''' |
| '''<font style="font-size: 1.15em">21 November 2021</font>''' | | * <s>[[kilobyte comma]]</s>: 1024/1023, thiwulu (→ kibisma) |
| ; [[Octagar temperaments #Tridecatonic|Tridecatonic]] (26 & 39)
| | * <s>[[megabyte comma]]</s>: 1048576/1048575, safowuthiwulugugu (→ mebisma) |
| '''5-limit'''<br>
| |
| Comma: 2541865828329/2500000000000<br>
| |
| Mapping: [{{val|13 21 31}}, {{val|0 -1 -2}}]<br>
| |
| POTE generator: ~3/2 = 701.0837<br>
| |
| Vals: 26, 39, 65, 286, 351, 416, 481, 546<br>
| |
| Badness: 0.437494<br><br>
| |
| '''7-limit'''<br>
| |
| Comma list: 4000/3969, 8748/8575<br>
| |
| Mapping: [{{val|13 21 31 37}}, {{val|0 -1 -2 -1}}]<br>
| |
| POTE generator: ~3/2 = 701.9605<br>
| |
| Vals: 26, 39d, 65d<br>
| |
| Badness: 0.139213<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 99/98, 1944/1925, 2560/2541<br>
| |
| Mapping: [{{val|13 21 31 37 45}}, {{val|0 -1 -2 -1 0}}]<br>
| |
| POTE generator: ~3/2 = 701.7028<br>
| |
| Vals: 26, 39d, 65d<br>
| |
| Badness: 0.063257<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 99/98, 144/143, 275/273, 1040/1029<br>
| |
| Mapping: [{{val|13 21 31 37 45 49}}, {{val|0 -1 -2 -1 0 -2}}]<br>
| |
| POTE generator: ~3/2 = 701.3573<br>
| |
| Vals: 26, 39df, 65d<br>
| |
| Badness: 0.037851<br><br>
| |
| ; [[Ragismic microtemperaments #Trideci|Trideci]] (26 & 65)
| |
| '''7-limit'''<br>
| |
| Comma list: 4375/4374, 83349/81920<br>
| |
| Mapping: [{{val|13 21 31 36}}, {{val|0 -1 -2 1}}]<br>
| |
| POTE generator: ~3/2 = 699.1410<br>
| |
| Vals: 26, 65, 91, 156d, 247cdd<br>
| |
| Badness: 0.184585<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 245/242, 385/384, 4375/4374<br>
| |
| Mapping: [{{val|13 21 31 36 45}}, {{val|0 -1 -2 1 0}}]<br>
| |
| POTE generator: ~3/2 = 699.6179<br>
| |
| Vals: 26, 65, 91, 156d, 247cdde<br>
| |
| Badness: 0.084590<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 169/168, 245/242, 325/324, 385/384<br>
| |
| Mapping: [{{val|13 21 31 36 45 48}}, {{val|0 -1 -2 1 0 0}}]<br>
| |
| POTE generator: ~3/2 = 699.2969<br>
| |
| Vals: 26, 65f, 91f, 156dff<br>
| |
| Badness: 0.052366<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">28 November 2021</font>''' | | '''<font style="font-size: 1.15em">10 December 2023</font>''' |
| ; [[Quintaleap family #Decimaleap|Decimaleap]] (24 & 121)
| | * [[81/76|dog comma]]: 81/76, inu |
| '''7-limit'''<br>
| | * [[primate comma]]: 16384/15309, saru |
| Comma list: 6144/6125, 393379840/387420489<br>
| |
| Mapping: [{{val|1 2 1 5}}, {{val|0 -10 32 -53}}]<br>
| |
| POTE generator: ~36/35 = 49.621<br>
| |
| Vals: 24, 97d, 121, 145, 266<br>
| |
| Badness: 0.314227<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 896/891, 6144/6125, 14700/14641<br>
| |
| Mapping: [{{val|1 2 1 5 4}}, {{val|0 -10 32 -53 -13}}]<br>
| |
| POTE generator: ~36/35 = 49.622<br>
| |
| Vals: 24, 97d, 121, 145, 266e<br>
| |
| Badness: 0.084612<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 352/351, 364/363, 676/675, 6144/6125<br>
| |
| Mapping: [{{val|1 2 1 5 4 3}}, {{val|0 -10 32 -53 -13 17}}]<br>
| |
| POTE generator: ~36/35 = 49.620<br>
| |
| Vals: 24, 97d, 121, 266ef<br>
| |
| Badness: 0.041763<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 256/255, 352/351, 364/363, 676/675, 1156/1155<br>
| |
| Mapping: [{{val|1 2 1 5 4 3 5}}, {{val|0 -10 32 -53 -13 17 -22}}]<br>
| |
| POTE generator: ~34/33 = 49.621<br>
| |
| Vals: 24, 97dg, 121, 266efg<br>
| |
| Badness: 0.025552<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 256/255, 352/351, 361/360, 364/363, 456/455, 665/663<br>
| |
| Mapping: [{{val|1 2 1 5 4 3 5 4}}, {{val|0 -10 32 -53 -13 17 -22 6}}]<br>
| |
| POTE generator: ~34/33 = 49.624<br>
| |
| Vals: 24, 97dg, 121, 145, 266efg<br>
| |
| Badness: 0.021208<br><br>
| |
| ; [[Quindromeda family #Hemiquindromeda|Hemiquindromeda]] (24 & 193)
| |
| '''7-limit'''<br>
| |
| Comma list: 4802000/4782969, 67108864/66976875<br>
| |
| Mapping: [{{val|1 2 0 6}}, {{val|0 -10 56 -77}}]<br>
| |
| POTE generator: ~36/35 = 49.756<br>
| |
| Vals: 24, 169d, 193, 217, 410<br>
| |
| Badness: 0.244589<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 14700/14641, 16384/16335, 19712/19683<br>
| |
| Mapping: [{{val|1 2 0 6 4}}, {{val|0 -10 56 -77 -13}}]<br>
| |
| POTE generator: ~36/35 = 49.757<br>
| |
| Vals: 24, 169d, 193, 217, 410e<br>
| |
| Badness: 0.093130<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 364/363, 676/675, 4096/4095, 19712/19683<br>
| |
| Mapping: [{{val|1 2 0 6 4 2}}, {{val|0 -10 56 -77 -13 41}}]<br>
| |
| POTE generator: ~36/35 = 49.759<br>
| |
| Vals: 24, 169d, 193, 217, 410e, 627e<br>
| |
| Badness: 0.048715<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 364/363, 595/594, 676/675, 1156/1155, 4096/4095<br>
| |
| Mapping: [{{val|1 2 0 6 4 2 5}}, {{val|0 -10 56 -77 -13 41 -22}}]<br>
| |
| POTE generator: ~34/33 = 49.759<br>
| |
| Vals: 24, 169d, 193, 217, 410e, 627e<br>
| |
| Badness: 0.028155<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 364/363, 595/594, 676/675, 1156/1155, 1216/1215, 1729/1728<br>
| |
| Mapping: [{{val|1 2 0 6 4 2 5 4}}, {{val|0 -10 56 -77 -13 41 -22 6}}]<br>
| |
| POTE generator: ~34/33 = 49.759<br>
| |
| Vals: 24, 169d, 193, 217, 410e<br>
| |
| Badness: 0.019364<br><br>
| |
|
| |
|
| '''<font style="font-size: 1.15em">29 November 2021</font>''' | | '''<font style="font-size: 1.15em">23 December 2023</font>''' |
| ; [[Sensamagic clan #Bohpier|Triboh]] (49 & 123)
| | * [[841/840|arabellisma]]: 841/840, bitweno-arugu |
| '''11-limit'''<br>
| | * [[4901/4900|large grapevine comma]]: 4901/4900, twenothothobirugu, twenobithorugu |
| Comma list: 245/243, 1331/1323, 3125/3087<br>
| | * [[6877/6875|grossvice comma]]: 6877/6875, bitwetho-atholuquadgu |
| Mapping: [{{val|1 0 0 0 0}}, {{val|0 39 57 69 85}}]<br>
| | * [[7425/7424|small grapevine comma]]: 7425/7424, latwenuloyoyo |
| POTE generator: ~77/75 = 48.828<br>
| | * [[mynucuvine comma]]: 10935/10933, labitwenu-athuyo |
| Vals: 49, 123ce, 172<br>
| |
| Badness: 0.162592<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 245/243, 275/273, 847/845, 1331/1323<br>
| |
| Mapping: [{{val|1 0 0 0 0 0}}, {{val|0 39 57 69 85 91}}]<br>
| |
| POTE generator: ~77/75 = 48.822<br>
| |
| Vals: 49f, 123ce, 172f, 295ce, 467bccef<br>
| |
| Badness: 0.082158<br><br>
| |
|
| |
|
| ===<font style="font-size: 1.15em">Proposed in December 2021</font>=== | | ===<font style="font-size: 1.15em">Proposed in 2024</font>=== |
| '''<font style="font-size: 1.15em">7 December 2021</font>''' | | '''<font style="font-size: 1.15em">2 January 2024</font>''' |
| ; [[Mabila family #Hemimabila|Hemimabila]] (9 & 68)
| | * [[slendrisma]]: 68719476736/68641485507, sasa-quinbiru |
| '''7-limit'''<br>
| |
| Comma list: 6144/6125, 117649/116640<br>
| |
| Mapping: [{{val|1 6 1 7}}, {{val|0 -20 6 -19}}]<br>
| |
| POTE generator: ~7/6 = 264.825<br>
| |
| Vals: 9, 59, 68, 77, 145<br>
| |
| Badness: 0.111130<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 121/120, 176/175, 67228/66825<br>
| |
| Mapping: [{{val|1 6 1 7 5}}, {{val|0 -20 6 -19 -7}}]<br>
| |
| POTE generator: ~7/6 = 264.849<br>
| |
| Vals: 9, 59, 68, 77, 145e<br>
| |
| Badness: 0.061426<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 121/120, 176/175, 196/195, 676/675<br>
| |
| Mapping: [{{val|1 6 1 7 5 9}}, {{val|0 -20 6 -19 -7 -24}}]<br>
| |
| POTE generator: ~7/6 = 264.861<br>
| |
| Vals: 9, 59f, 68, 77, 145e, 222cef<br>
| |
| Badness: 0.034531<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 121/120, 154/153, 176/175, 196/195, 676/675<br>
| |
| Mapping: [{{val|1 6 1 7 5 9 1}}, {{val|0 -20 6 -19 -7 -24 14}}]<br>
| |
| POTE generator: ~7/6 = 264.839<br>
| |
| Vals: 9, 59f, 68, 77, 145e<br>
| |
| Badness: 0.027851<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 121/120, 154/153, 176/175, 196/195, 209/208, 361/360<br>
| |
| Mapping: [{{val|1 6 1 7 5 9 1 8}}, {{val|0 -20 6 -19 -7 -24 14 -17}}]<br>
| |
| POTE generator: ~7/6 = 264.839<br>
| |
| Vals: 9, 59f, 68, 77, 145e<br>
| |
| Badness: 0.020053<br><br>
| |
| ; [[Jubilismic clan #Sedecic|Sedecic]] (16 & 32)
| |
| '''7-limit'''<br>
| |
| Comma list: 50/49, 546875/524288<br>
| |
| Mapping: [{{val|16 25 37 45}}, {{val|0 1 0 0}}]<br>
| |
| POTE generator: ~3/2 = 700.554<br>
| |
| Vals: 16, 32, 48<br>
| |
| Badness: 0.265972<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 50/49, 385/384, 1331/1323<br>
| |
| Mapping: [{{val|16 25 37 45 55}}, {{val|0 1 0 0 1}}]<br>
| |
| POTE generator: ~3/2 = 700.331<br>
| |
| Vals: 16, 32, 48<br>
| |
| Badness: 0.092774<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">11 December 2021</font>'''
| |
| ; [[Keemic temperaments #Hyperkleismic|Hyperkleismic]] (26 & 37)
| |
| '''7-limit'''<br>
| |
| Comma list: 875/864, 51200/50421<br>
| |
| Mapping: [{{val|1 -3 -2 2}}, {{val|0 17 16 3}}]<br>
| |
| POTE generator: ~6/5 = 323.780<br>
| |
| Vals: 26, 37, 63<br>
| |
| Badness: 0.157830<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 100/99, 385/384, 2420/2401<br>
| |
| Mapping: [{{val|1 -3 -2 2 4}}, {{val|0 17 16 3 -2}}]<br>
| |
| POTE generator: ~6/5 = 323.796<br>
| |
| Vals: 26, 37, 63<br>
| |
| Badness: 0.065356<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 100/99, 169/168, 275/273, 385/384<br>
| |
| Mapping: [{{val|1 -3 -2 2 4 1}}, {{val|0 17 16 3 -2 10}}]<br>
| |
| POTE generator: ~6/5 = 323.790<br>
| |
| Vals: 26, 37, 63<br>
| |
| Badness: 0.035724<br><br>
| |
| | |
| ===<font style="font-size: 1.15em">Proposed in January 2022</font>===
| |
| '''<font style="font-size: 1.15em">2 January 2022</font>'''
| |
| ; [[Starling temperaments #Cobalt|Cobalt]] (27 & 81)
| |
| <font style="font-size: 0.85em">(Name revised from ''Enneaplonic'' on 5 January 2022)</font><br>
| |
| '''7-limit'''<br>
| |
| Comma list: 126/125, 40353607/40310784<br>
| |
| Mapping: [{{val|27 43 63 76}}, {{val|0 -1 -1 -1}}]<br>
| |
| POTE generator: ~3/2 = 701.244<br>
| |
| Vals: 27, 81, 108, 135c, 243c<br>
| |
| Badness: 0.173308<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 126/125, 540/539, 21609/21296<br>
| |
| Mapping: [{{val|27 43 63 76 94}}, {{val|0 -1 -1 -1 -2}}]<br>
| |
| POTE generator: ~3/2 = 700.001<br>
| |
| Vals: 27e, 81, 108<br>
| |
| Badness: 0.078060<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 126/125, 144/143, 196/195, 21609/21296<br>
| |
| Mapping: [{{val|27 43 63 76 94 100}}, {{val|0 -1 -1 -1 -2 0}}]<br>
| |
| POTE generator: ~3/2 = 700.867<br>
| |
| Vals: 27e, 81, 108, 243ceef<br>
| |
| Badness: 0.057145<br><br>
| |
| ; [[Starling temperaments #Cobalt|Cobaltous]] (27 & 81)
| |
| '''17-limit'''<br>
| |
| Comma list: 126/125, 144/143, 189/187, 196/195, 1452/1445<br>
| |
| Mapping: [{{val|27 43 63 76 94 100 111}}, {{val|0 -1 -1 -1 -2 0 -2}}]<br>
| |
| POTE generator: ~3/2 = 700.397<br>
| |
| Vals: 27eg, 81, 108g<br>
| |
| Badness: 0.042106<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 126/125, 144/143, 171/170, 189/187, 196/195, 969/968<br>
| |
| Mapping: [{{val|27 43 63 76 94 100 111 115}}, {{val|0 -1 -1 -1 -2 0 -2 -1}}]<br>
| |
| POTE generator: ~3/2 = 700.429<br>
| |
| Vals: 27eg, 81, 108g<br>
| |
| Badness: 0.030415<br><br>
| |
| ; [[Starling temperaments #Cobalt|Cobaltic]] (27 & 108)
| |
| '''17-limit'''<br>
| |
| Comma list: 126/125, 144/143, 196/195, 221/220, 12005/11968<br>
| |
| Mapping: [{{val|27 43 63 76 94 100 111}}, {{val|0 -1 -1 -1 -2 0 -3}}]<br>
| |
| POTE generator: ~3/2 = 701.595<br>
| |
| Vals: 27eg, 81gg, 108, 135ce<br>
| |
| Badness: 0.047163<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 126/125, 144/143, 196/195, 210/209, 221/220, 1088/1083<br>
| |
| Mapping: [{{val|27 43 63 76 94 100 111 115}}, {{val|0 -1 -1 -1 -2 0 -3 -1}}]<br>
| |
| POTE generator: ~3/2 = 701.673<br>
| |
| Vals: 27eg, 81gg, 108, 135ceh<br>
| |
| Badness: 0.034176<br><br>
| |
| ; [[Starling temperaments #Cobalt|Cobaltite]] (27 & 81)
| |
| <font style="font-size: 0.85em">(Name revised from ''Enneaplonoid'' on 5 January 2022)</font><br>
| |
| <font style="font-size: 0.85em">(Name revised from ''Cobalat'' on 6 March 2022)</font><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 126/125, 169/168, 540/539, 975/968<br>
| |
| Mapping: [{{val|27 43 63 76 94 100}}, {{val|0 -1 -1 -1 -2 -1}}]<br>
| |
| POTE generator: ~3/2 = 699.179<br>
| |
| Vals: 27e, 54bdef, 81f, 108f<br>
| |
| Badness: 0.052732<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">3 January 2022</font>'''
| |
| ; [[Schismatic family #Pontiac|Pontoid]] (171 & 289)
| |
| '''13-limit'''<br>
| |
| Comma list: 364/363, 441/440, 4375/4374, 32805/32768<br>
| |
| Mapping: [{{val|1 2 -1 19 40 61}}, {{val|0 -1 8 -39 -88 -138}}]<br>
| |
| POTE generator: ~3/2 = 701.735<br>
| |
| Vals: 53ef, 118f, 171, 289, 460e, 749def<br>
| |
| Badness: 0.050188<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 364/363, 441/440, 595/594, 1156/1155, 32805/32768<br>
| |
| Mapping: [{{val|1 2 -1 19 40 61 29}}, {{val|0 -1 8 -39 -88 -138 -60}}]<br>
| |
| POTE generator: ~3/2 = 701.735<br>
| |
| Vals: 53ef, 118f, 171, 289, 460e, 749defg<br>
| |
| Badness: 0.029383<br><br>
| |
| ; [[Schismatic family #Grackle|Grackle]] (12 & 77)
| |
| '''11-limit'''<br>
| |
| Comma list: 126/125, 176/175, 32805/32768<br>
| |
| Mapping: [{{val|1 0 15 44 70}}, {{val|0 1 -8 -26 -42}}]<br>
| |
| POTE generator: ~3/2 = 701.172<br>
| |
| Vals: 12, 53dee, 65e, 77, 89, 166c, 255c<br>
| |
| Badness: 0.048887<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 126/125, 176/175, 196/195, 5445/5408<br>
| |
| Mapping: [{{val|1 0 15 44 70 75}}, {{val|0 1 -8 -26 -42 -45}}]<br>
| |
| POTE generator: ~3/2 = 701.226<br>
| |
| Vals: 12f, 53deeff, 65ef, 77, 166cf, 243cf<br>
| |
| Badness: 0.037859<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 126/125, 176/175, 196/195, 256/255, 2904/2873<br>
| |
| Mapping: [{{val|1 0 15 44 70 75 -7}}, {{val|0 1 -8 -26 -42 -45 7}}]<br>
| |
| POTE generator: ~3/2 = 701.206<br>
| |
| Vals: 12f, 53deeff, 65ef, 77, 89f, 166cf<br>
| |
| Badness: 0.029864<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 126/125, 171/170, 176/175, 196/195, 209/208, 324/323<br>
| |
| Mapping: [{{val|1 0 15 44 70 75 -7 9}}, {{val|0 1 -8 -26 -42 -45 7 -3}}]<br>
| |
| POTE generator: ~3/2 = 701.217<br>
| |
| Vals: 12f, 53deeff, 65ef, 77, 166cf<br>
| |
| Badness: 0.023096<br><br>
| |
| ; [[Schismatic family #Grackle|Grackloid]] (12 & 77)
| |
| '''13-limit'''<br>
| |
| Comma list: 126/125, 176/175, 729/728, 1287/1280<br>
| |
| Mapping: [{{val|1 0 15 44 70 -47 }}, {{val|0 1 -8 -26 -42 32 }}]<br>
| |
| POTE generator: ~3/2 = 701.217<br>
| |
| Vals: 12, 53deef, 65e, 77, 166c<br>
| |
| Badness: 0.048511<br><br>
| |
| ; [[Schismatic family #Grackle|Grack]] (12 & 65)
| |
| '''11-limit'''<br>
| |
| Comma list: 126/125, 245/242, 896/891<br>
| |
| Mapping: [{{val|1 0 15 44 51 }}, {{val|0 1 -8 -26 -30 }}]<br>
| |
| POTE generator: ~3/2 = 701.401<br>
| |
| Vals: 12, 53d, 65, 77e, 142de<br>
| |
| Badness: 0.055908<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 126/125, 196/195, 245/242, 832/825<br>
| |
| Mapping: [{{val|1 0 15 44 51 75 }}, {{val|0 1 -8 -26 -30 -45 }}]<br>
| |
| POTE generator: ~3/2 = 701.348<br>
| |
| Vals: 12f, 53dff, 65f, 77e<br>
| |
| Badness: 0.044458<br><br>
| |
| ; [[Schismatic family #Grackle|Catahelenic]] (12 & 65)
| |
| '''13-limit'''<br>
| |
| Comma list: 105/104, 126/125, 245/242, 352/351<br>
| |
| Mapping: [{{val|1 0 15 44 51 56 }}, {{val|0 1 -8 -26 -30 -33 }}]<br>
| |
| POTE generator: ~3/2 = 701.529<br>
| |
| Vals: 12f, 53df, 65<br>
| |
| Badness: 0.048524<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">6 January 2022</font>'''
| |
| ; [[Hemifamity temperaments #Countriton|Countriton]] (53 & 157)
| |
| '''5-limit'''<br>
| |
| Comma list: 16777216000000000/16677181699666569<br>
| |
| Mapping: [{{val|1 6 19}}, {{val|0 -9 -34}}]<br>
| |
| POTE generator: ~14348907/10240000 = 588.636<br>
| |
| Vals: 53, 263, 316, 369, 422, 475, 528<br>
| |
| Badness: 0.255594<br><br>
| |
| '''7-limit'''<br>
| |
| Comma list: 5120/5103, 7558272/7503125<br>
| |
| Mapping: [{{val|1 6 19 -7}}, {{val|0 -9 -34 20}}]<br>
| |
| POTE generator: ~1728/1225 = 588.582<br>
| |
| Vals: 53, 157, 210<br>
| |
| Badness: 0.131191<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 176/175, 5120/5103, 41503/41472<br>
| |
| Mapping: [{{val|1 6 19 -7 27}}, {{val|0 -9 -34 20 -48}}]<br>
| |
| POTE generator: ~108/77 = 588.545<br>
| |
| Vals: 53, 104c, 157<br>
| |
| Badness: 0.084782<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 176/175, 351/350, 847/845, 2197/2187<br>
| |
| Mapping: [{{val|1 6 19 -7 27 14}}, {{val|0 -9 -34 20 -48 -21}}]<br>
| |
| POTE generator: ~108/77 = 588.544<br>
| |
| Vals: 53, 104c, 157<br>
| |
| Badness: 0.042321<br><br>
| |
| ; [[Porwell temperaments #Aufo|Aufic]] (53 & 161)
| |
| '''11-limit'''<br>
| |
| Comma list: 540/539, 5632/5625, 72171/71680<br>
| |
| Mapping: [{{Val|1 6 -7 19 -25}}, {{Val|0 -9 19 -33 58}}]<br>
| |
| POTE generator: ~45/32 = 588.800<br>
| |
| Vals: 53, 108, 161, 214, 375<br>
| |
| Badness: 0.075149<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 351/350, 540/539, 847/845, 4096/4095<br>
| |
| Mapping: [{{Val|1 6 -7 19 -25 -12}}, {{Val|0 -9 19 -33 58 32}}]<br>
| |
| POTE generator: ~45/32 = 588.796<br>
| |
| Vals: 53, 108, 161, 214, 375, 589be<br>
| |
| Badness: 0.039050<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">8 January 2022</font>'''
| |
| ; [[Diaschismic family #Pajara|Pajarina]] (12 & 22)
| |
| '''13-limit'''<br>
| |
| Comma list: 50/49, 64/63, 78/77, 99/98<br>
| |
| Mapping: [{{val|2 0 11 12 26 36 }}, {{val|0 1 -2 -2 -6 -9 }}]<br>
| |
| POTE generator: ~3/2 = 706.133<br>
| |
| Vals: 12f, 22, 34d<br>
| |
| Badness: 0.022327<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 50/49, 64/63, 78/77, 85/84, 99/98<br>
| |
| Mapping: [{{val|2 0 11 12 26 36 5 }}, {{val|0 1 -2 -2 -6 -9 1 }}]<br>
| |
| POTE generator: ~3/2 = 706.410<br>
| |
| Vals: 12f, 22, 34d<br>
| |
| Badness: 0.018375<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">9 January 2022</font>'''
| |
| ; [[Magic family #Muggles|Muggloid]] (3 & 16)
| |
| '''11-limit'''<br>
| |
| Comma list: 33/32, 126/125, 176/175<br>
| |
| Mapping: [{{val|1 0 2 5 5 }}, {{val|0 5 1 -7 -5 }}]<br>
| |
| POTE generator: ~5/4 = 377.832<br>
| |
| Vals: 3, 10bd, 13bd, 16, 19e<br>
| |
| Badness: 0.046970<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 33/32, 65/64, 105/104, 126/125<br>
| |
| Mapping: [{{val|1 0 2 5 5 4 }}, {{val|0 5 1 -7 -5 -1 }}]<br>
| |
| POTE generator: ~5/4 = 377.838<br>
| |
| Vals: 3, 10bd, 13bd, 16, 19e<br>
| |
| Badness: 0.028732<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">14 January 2022</font>'''
| |
| ; [[Marvel temperaments #Gracecordial|Gracecord]] (12 & 113)
| |
| '''11-limit'''<br>
| |
| Comma list: 225/224, 441/440, 109375/107811<br>
| |
| Mapping: [{{val| 1 2 -6 -13 -19 }}, {{val| 0 -1 20 38 54 }}]<br>
| |
| POTE generator: ~3/2 = 700.885<br>
| |
| Vals: 12, 101cd, 113<br>
| |
| Badness: 0.066964<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 225/224, 364/363, 441/440, 6125/6084<br>
| |
| Mapping: [{{val| 1 2 -6 -13 -19 -25 }}, {{val| 0 -1 20 38 54 69 }}]<br>
| |
| POTE generator: ~3/2 = 700.890<br>
| |
| Vals: 12f, 101cdf, 113<br>
| |
| Badness: 0.044196<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 225/224, 364/363, 441/440, 595/594, 2000/1989<br>
| |
| Mapping: [{{val| 1 2 -6 -13 -19 -25 7 }}, {{val| 0 -1 20 38 54 69 -7 }}]<br>
| |
| POTE generator: ~3/2 = 700.870<br>
| |
| Vals: 12f, 101cdf, 113<br>
| |
| Badness: 0.036637<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 210/209, 225/224, 324/323, 364/363, 400/399, 665/663<br>
| |
| Mapping: [{{val| 1 2 -6 -13 -19 -25 7 3 }}, {{val| 0 -1 20 38 54 69 -7 3 }}]<br>
| |
| POTE generator: ~3/2 = 700.866<br>
| |
| Vals: 12f, 101cdf, 113<br>
| |
| Badness: 0.027559<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">15 January 2022</font>'''
| |
| ; [[Mirkwai clan #Gaster|Gaster]] (111 & 113)
| |
| '''7-limit'''<br>
| |
| Comma list: 16875/16807, 14348907/14336000<br>
| |
| Mapping: [{{val|1 11 38 37}}, {{val|0 -19 -72 -69}}]<br>
| |
| POTE generator: ~800/567 = 594.64130<br>
| |
| Vals: 111, 224<br>
| |
| Badness: 0.154521<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 540/539, 1375/1372, 14348907/14336000<br>
| |
| Mapping: [{{val|1 11 38 37 -1}}, {{val|0 -19 -72 -69 9}}]<br>
| |
| POTE generator: ~512/363 = 594.63909<br>
| |
| Vals: 111, 224, 783d, 1007d, 1231dd<br>
| |
| Badness: 0.054060<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 540/539, 729/728, 1375/1372, 2200/2197<br>
| |
| Mapping: [{{val|1 11 38 37 -1 26}}, {{val|0 -19 -72 -69 9 -45}}]<br>
| |
| POTE generator: ~55/39 = 594.63899<br>
| |
| Vals: 111, 224, 783df, 1007df, 1231ddf<br>
| |
| Badness: 0.024882<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 540/539, 715/714, 729/728, 936/935, 2200/2197<br>
| |
| Mapping: [{{val|1 11 38 37 -1 26 14}}, {{val|0 -19 -72 -69 9 -45 -20}}]<br>
| |
| POTE generator: ~24/17 = 594.63553<br>
| |
| Vals: 111, 224, 559dgg<br>
| |
| Badness: 0.021436<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 324/323, 400/399, 495/494, 540/539, 715/714, 1445/1444<br>
| |
| Mapping: [{{val|1 11 38 37 -1 26 14 32}}, {{val|0 -19 -72 -69 9 -45 -20 -56}}]<br>
| |
| POTE generator: ~24/17 = 594.63620<br>
| |
| Vals: 111, 224<br>
| |
| Badness: 0.018370<br><br>
| |
| '''23-limit'''<br>
| |
| Comma list: 324/323, 400/399, 460/459, 495/494, 529/528, 540/539, 715/714<br>
| |
| Mapping: [{{val|1 11 38 37 -1 26 14 32 7}}, {{val|0 -19 -72 -69 9 -45 -20 -56 -5}}]<br>
| |
| POTE generator: ~24/17 = 594.64147<br>
| |
| Vals: 111, 224<br>
| |
| Badness: 0.017619<br><br>
| |
| '''29-limit'''<br>
| |
| Comma list: 290/289, 324/323, 400/399, 460/459, 495/494, 529/528, 540/539, 715/714<br>
| |
| Mapping: [{{val|1 11 38 37 -1 26 14 32 7 -11}}, {{val|0 -19 -72 -69 9 -45 -20 -56 -5 32}}]<br>
| |
| POTE generator: ~24/17 = 594.64556<br>
| |
| Vals: 111, 113, 224<br>
| |
| Badness: 0.016815<br><br>
| |
| '''31-limit'''<br>
| |
| Comma list: 290/289, 324/323, 400/399, 435/434, 460/459, 495/494, 528/527, 540/539, 715/714<br>
| |
| Mapping: [{{val|1 11 38 37 -1 26 14 32 7 -11 0}}, {{val|0 -19 -72 -69 9 -45 -20 -56 -5 32 10}}]<br>
| |
| POTE generator: ~24/17 = 594.64392<br>
| |
| Vals: 111, 113, 224<br>
| |
| Badness: 0.014790<br><br>
| |
| '''37-limit'''<br>
| |
| Comma list: 290/289, 324/323, 400/399, 435/434, 460/459, 495/494, 528/527, 540/539, 667/666, 715/714<br>
| |
| Mapping: [{{val|1 11 38 37 -1 26 14 32 7 -11 0 -27}}, {{val|0 -19 -72 -69 9 -45 -20 -56 -5 32 10 65}}]<br>
| |
| POTE generator: ~24/17 = 594.64383<br>
| |
| Vals: 111, 113, 224<br>
| |
| Badness: 0.014377<br><br>
| |
| '''41-limit'''<br>
| |
| Comma list: 290/289, 324/323, 400/399, 435/434, 460/459, 495/494, 528/527, 533/532, 540/539, 575/574, 667/666<br>
| |
| Mapping: [{{val|1 11 38 37 -1 26 14 32 7 -11 0 -27 45}}, {{val|0 -19 -72 -69 9 -45 -20 -56 -5 32 10 65 -80}}]<br>
| |
| POTE generator: ~24/17 = 594.64299<br>
| |
| Vals: 111, 113, 224<br>
| |
| Badness: 0.012858<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">20 January 2022</font>'''
| |
| ; [[Mabila family #Tuskaloosa|Tuskaloosa]] (77 & 111)
| |
| '''7-limit'''<br>
| |
| Comma list: 19683/19600, 110592/109375<br>
| |
| Mapping: [{{val|1 6 1 24}}, {{val|0 -10 3 -48}}]<br>
| |
| POTE generator: ~512/375 = 529.772<br>
| |
| Vals: 34d, 77, 111, 188, 299cd<br>
| |
| Badness: 0.145058<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 176/175, 1331/1323, 19683/19600<br>
| |
| Mapping: [{{val|1 6 1 24 22}}, {{val|0 -10 3 -48 -42}}]<br>
| |
| POTE generator: ~224/165 = 529.749<br>
| |
| Vals: 34d, 77, 111, 299cd, 410ccd, 521ccdd<br>
| |
| Badness: 0.061773<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 176/175, 351/350, 676/675, 1331/1323<br>
| |
| Mapping: [{{val|1 6 1 24 22 9}}, {{val|0 -10 3 -48 -42 -12}}]<br>
| |
| POTE generator: ~65/48 = 529.747<br>
| |
| Vals: 34d, 77, 111, 410ccdf, 521ccddff<br>
| |
| Badness: 0.031480<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 176/175, 256/255, 351/350, 676/675, 715/714<br>
| |
| Mapping: [{{val|1 6 1 24 22 9 1}}, {{val|0 -10 3 -48 -42 -12 7}}]<br>
| |
| POTE generator: ~34/25 = 529.742<br>
| |
| Vals: 34d, 77, 111<br>
| |
| Badness: 0.022765<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 176/175, 256/255, 286/285, 351/350, 363/361, 476/475<br>
| |
| Mapping: [{{val|1 6 1 24 22 9 1 25}}, {{val|0 -10 3 -48 -42 -12 7 -47}}]<br>
| |
| POTE generator: ~19/14 = 529.749<br>
| |
| Vals: 34dh, 77, 111<br>
| |
| Badness: 0.017924<br><br>
| |
| ; [[Mabila family #Muscogee|Muscogee]] (43 & 77)
| |
| '''7-limit'''<br>
| |
| Comma list: 126/125, 33756345/33554432<br>
| |
| Mapping: [{{val|1 6 1 -10}}, {{val|0 -10 3 29}}]<br>
| |
| POTE generator: ~512/375 = 529.907<br>
| |
| Vals: 34, 43, 77, 274c, 351cc, 428ccd<br>
| |
| Badness: 0.162021<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 126/125, 176/175, 264627/262144<br>
| |
| Mapping: [{{val|1 6 1 -10 -12}}, {{val|0 -10 3 29 35}}]<br>
| |
| POTE generator: ~224/165 = 529.955<br>
| |
| Vals: 34e, 43, 77, 120, 197ce<br>
| |
| Badness: 0.077552<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 126/125, 176/175, 676/675, 1287/1280<br>
| |
| Mapping: [{{val|1 6 1 -10 -12 9}}, {{val|0 -10 3 29 35 -12}}]<br>
| |
| POTE generator: ~65/48 = 529.957<br>
| |
| Vals: 34e, 43, 77, 120, 197ce<br>
| |
| Badness: 0.043352<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 126/125, 176/175, 256/255, 273/272, 676/675<br>
| |
| Mapping: [{{val|1 6 1 -10 -12 9 1}}, {{val|0 -10 3 29 35 -12 7}}]<br>
| |
| POTE generator: ~34/25 = 529.958<br>
| |
| Vals: 34e, 43, 77, 120g, 197ceg<br>
| |
| Badness: 0.031217<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 126/125, 171/170, 176/175, 256/255, 273/272, 363/361<br>
| |
| Mapping: [{{val|1 6 1 -10 -12 9 1 -9}}, {{val|0 -10 3 29 35 -12 7 30}}]<br>
| |
| POTE generator: ~19/14 = 529.955<br>
| |
| Vals: 34e, 43, 77, 120g, 197ceg<br>
| |
| Badness: 0.023670<br><br>
| |
| ; [[Mabila family #Cohemimabila|Cohemimabila]] (25 & 43)
| |
| '''7-limit'''<br>
| |
| Comma list: 3136/3125, 65536/64827<br>
| |
| Mapping: [{{val|1 -4 4 7}}, {{val|0 20 -6 -15}}]<br>
| |
| POTE generator: ~128/105 = 335.182<br>
| |
| Vals: 25, 43, 68, 111, 179, 290cd, 469bccdd<br>
| |
| Badness: 0.127451<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 176/175, 1375/1372, 16384/16335<br>
| |
| Mapping: [{{val|1 -4 4 7 11}}, {{val|0 20 -6 -15 -27}}]<br>
| |
| POTE generator: ~40/33 = 335.148<br>
| |
| Vals: 25, 43, 68, 111<br>
| |
| Badness: 0.064164<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 176/175, 640/637, 676/675, 1375/1372<br>
| |
| Mapping: [{{val|1 -4 4 7 11 -3}}, {{val|0 20 -6 -15 -27 24}}]<br>
| |
| POTE generator: ~40/33 = 335.144<br>
| |
| Vals: 25, 43, 68, 111<br>
| |
| Badness: 0.035463<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 176/175, 256/255, 442/441, 640/637, 715/714<br>
| |
| Mapping: [{{val|1 -4 4 7 11 -3 8}}, {{val|0 20 -6 -15 -27 24 -14}}]<br>
| |
| POTE generator: ~17/14 = 335.145<br>
| |
| Vals: 25, 43, 68, 111<br>
| |
| Badness: 0.022728<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 176/175, 256/255, 286/285, 363/361, 442/441, 476/475<br>
| |
| Mapping: [{{val|1 -4 4 7 11 -3 8 9}}, {{val|0 20 -6 -15 -27 24 -14 -17}}]<br>
| |
| POTE generator: ~17/14 = 335.151<br>
| |
| Vals: 25, 43, 68, 111<br>
| |
| Badness: 0.017450<br><br>
| |
| ; [[Mabila family #Trimabila|Trimabila]] (9 & 111)
| |
| '''7-limit'''<br>
| |
| Comma list: 1728/1715, 268435456/263671875<br>
| |
| Mapping: [{{val|3 8 6 12}}, {{val|0 -10 3 -11}}]<br>
| |
| POTE generator: ~7/6 = 270.269<br>
| |
| Vals: 9, 102d, 111<br>
| |
| Badness: 0.267168<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 176/175, 540/539, 805255/802816<br>
| |
| Mapping: [{{val|3 8 6 12 12}}, {{val|0 -10 3 -11 -5}}]<br>
| |
| POTE generator: ~7/6 = 270.256<br>
| |
| Vals: 9, 102d, 111<br>
| |
| Badness: 0.081946<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 176/175, 540/539, 676/675, 1573/1568<br>
| |
| Mapping: [{{val|3 8 6 12 12 15}}, {{val|0 -10 3 -11 -5 -12}}]<br>
| |
| POTE generator: ~7/6 = 270.254<br>
| |
| Vals: 9, 102df, 111<br>
| |
| Badness: 0.040102<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 176/175, 256/255, 540/539, 676/675, 715/714<br>
| |
| Mapping: [{{val|3 8 6 12 12 15 10}}, {{val|0 -10 3 -11 -5 -12 7}}]<br>
| |
| POTE generator: ~7/6 = 270.266<br>
| |
| Vals: 9, 102df, 111<br>
| |
| Badness: 0.030657<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 176/175, 256/255, 286/285, 363/361, 476/475, 540/539<br>
| |
| Mapping: [{{val|3 8 6 12 12 15 10 16}}, {{val|0 -10 3 -11 -5 -12 7 -10}}]<br>
| |
| POTE generator: ~7/6 = 270.260<br>
| |
| Vals: 9, 102dfh, 111<br>
| |
| Badness: 0.022851<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">22 January 2022</font>'''
| |
| ; [[Immunity family #Immune|Immune]] (29 & 34)
| |
| '''7-limit'''<br>
| |
| Comma list: 225/224, 781250/750141<br>
| |
| Mapping: [{{val|1 2 5 9}}, {{val|0 -2 -13 -30}}]<br>
| |
| POTE generator: ~567/500 = 247.583<br>
| |
| Vals: 29, 34d, 63<br>
| |
| Badness: 0.144835<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 100/99, 225/224, 1331/1323<br>
| |
| Mapping: [{{val|1 2 5 9 8}}, {{val|0 -2 -13 -30 -22}}]<br>
| |
| POTE generator: ~140/121 = 247.589<br>
| |
| Vals: 29, 34d, 63<br>
| |
| Badness: 0.050990<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 100/99, 169/168, 225/224, 275/273<br>
| |
| Mapping: [{{val|1 2 5 9 8 7}}, {{val|0 -2 -13 -30 -22 -16}}]<br>
| |
| POTE generator: ~15/13 = 247.593<br>
| |
| Vals: 29, 34d, 63<br>
| |
| Badness: 0.028521<br><br>
| |
| ; [[Meantone family #Meantritone|Meantritone]] (2 & 31)
| |
| '''7-limit'''<br>
| |
| Comma list: 81/80, 16875/16807<br>
| |
| Mapping: [{{val|1 4 12 12}}, {{val|0 -5 -20 -19}}]<br>
| |
| POTE generator: ~7/5 = 580.766<br>
| |
| Vals: 2cd, 29cd, 31<br>
| |
| Badness: 0.082239<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 81/80, 99/98, 2541/2500<br>
| |
| Mapping: [{{val|1 4 12 12 17}}, {{val|0 -5 -20 -19 -28}}]<br>
| |
| POTE generator: ~7/5 = 580.647<br>
| |
| Vals: 2cde, 29cde, 31<br>
| |
| Badness: 0.042869<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">23 January 2022</font>'''
| |
| ; [[Keegic temperaments #Aurora|Aurora]] (13 & 21)
| |
| '''7-limit'''<br>
| |
| Comma list: 1029/1000, 28672/28125<br>
| |
| Mapping: [{{val|1 -3 5 7}}, {{val|0 12 -7 -11}}]<br>
| |
| POTE generator: ~21/16 = 458.348<br>
| |
| Vals: 8bd, 13, 21, 34, 55, 89d, 144cdd<br>
| |
| Badness: 0.242134<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 56/55, 1029/1000, 5632/5625<br>
| |
| Mapping: [{{val|1 -3 5 7 5}}, {{val|0 12 -7 -11 -4}}]<br>
| |
| POTE generator: ~21/16 = 458.413<br>
| |
| Vals: 8bd, 13, 21, 34, 55e, 89dee<br>
| |
| Badness: 0.116654<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 56/55, 105/104, 512/507, 637/625<br>
| |
| Mapping: [{{val|1 -3 5 7 5 6}}, {{val|0 12 -7 -11 -4 -6}}]<br>
| |
| POTE generator: ~13/10 = 458.444<br>
| |
| Vals: 8bd, 13, 21, 34, 55e, 89deef<br>
| |
| Badness: 0.066541<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 56/55, 105/104, 170/169, 221/220, 375/374<br>
| |
| Mapping: [{{val|1 -3 5 7 5 6 6}}, {{val|0 12 -7 -11 -4 -6 -5}}]<br>
| |
| POTE generator: ~13/10 = 458.444<br>
| |
| Vals: 8bd, 13, 21, 34, 55e, 89deef<br>
| |
| Badness: 0.044148<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 56/55, 76/75, 105/104, 170/169, 190/187, 221/220<br>
| |
| Mapping: [{{val|1 -3 5 7 5 6 6 5}}, {{val|0 12 -7 -11 -4 -6 -5 -2}}]<br>
| |
| POTE generator: ~13/10 = 458.444<br>
| |
| Vals: 8bd, 13, 21, 34, 55eh, 89deefhh<br>
| |
| Badness: 0.037621<br><br>
| |
| '''23-limit'''<br>
| |
| Comma list: 56/55, 76/75, 105/104, 161/160, 170/169, 190/187, 221/220<br>
| |
| Mapping: [{{val|1 -3 5 7 5 6 6 5 3}}, {{val|0 12 -7 -11 -4 -6 -5 -2 4}}]<br>
| |
| POTE generator: ~13/10 = 458.430<br>
| |
| Vals: 8bd, 13, 21, 34, 55eh, 89deefhh<br>
| |
| Badness: 0.030236<br><br>
| |
| '''29-limit'''<br>
| |
| Comma list: 56/55, 76/75, 105/104, 116/115, 145/143, 161/160, 170/169, 221/220<br>
| |
| Mapping: [{{val|1 -3 5 7 5 6 6 5 3 6}}, {{val|0 12 -7 -11 -4 -6 -5 -2 4 -3}}]<br>
| |
| POTE generator: ~13/10 = 458.426<br>
| |
| Vals: 8bd, 13, 21, 34, 55eh, 89deefhh<br>
| |
| Badness: 0.025201<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">26 January 2022</font>'''
| |
| ; [[Sensamagic #Leapweek|Leapweeker]] (17 & 46)
| |
| '''17-limit'''<br>
| |
| Comma list: 136/135, 169/168, 221/220, 245/243, 364/363<br>
| |
| Mapping: [{{val|1 2 -8 9 8 7 -5}}, {{val|0 -1 25 -15 -11 -8 22}}]<br>
| |
| POTE generator: ~3/2 = 704.537<br>
| |
| Vals: 17, 29c, 46, 109g, 155fg, 264bfgg<br>
| |
| Badness: 0.026774<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">29 January 2022</font>'''
| |
| ; [[Triwellismic temperaments #Interaufo|Interaufo]] (159 & 161)
| |
| '''7-limit'''<br>
| |
| Comma list: 235298/234375, 33756345/33554432<br>
| |
| Mapping: [{{val|1 15 -26 -28}}, {{val|0 -27 57 62}}]<br>
| |
| POTE generator: ~10125/7168 = 596.247<br>
| |
| Vals: 2, 157cd, 159, 320, 799dd, 1119bdd<br>
| |
| Badness: 0.342890<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 441/440, 102487/102400, 235298/234375<br>
| |
| Mapping: [{{val|1 15 -26 -28 -3}}, {{val|0 -27 57 62 13}}]<br>
| |
| POTE generator: ~512/363 = 596.248<br>
| |
| Vals: 2, 157cd, 159, 320<br>
| |
| Badness: 0.080833<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 441/440, 1001/1000, 6656/6655, 26411/26364<br>
| |
| Mapping: [{{val|1 15 -26 -28 -3 -44}}, {{val|0 -27 57 62 13 96}}]<br>
| |
| POTE generator: ~55/39 = 596.248<br>
| |
| Vals: 2f, 157cdf, 159, 320<br>
| |
| Badness: 0.041506<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 441/440, 833/832, 1001/1000, 1089/1088, 8624/8619<br>
| |
| Mapping: [{{val|1 15 -26 -28 -3 -44 18}}, {{val|0 -27 57 62 13 96 -28}}]<br>
| |
| POTE generator: ~24/17 = 596.250<br>
| |
| Vals: 2f, 157cdf, 159, 320<br>
| |
| Badness: 0.028653<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 441/440, 513/512, 833/832, 969/968, 1001/1000, 1521/1520<br>
| |
| Mapping: [{{val|1 15 -26 -28 -3 -44 18 -36}}, {{val|0 -27 57 62 13 96 -28 81}}]<br>
| |
| POTE generator: ~24/17 = 596.250<br>
| |
| Vals: 2fh, 157cdfh, 159, 161, 320<br>
| |
| Badness: 0.020593<br><br>
| |
| '''23-limit'''<br>
| |
| Comma list: 441/440, 513/512, 529/528, 833/832, 897/896, 969/968, 1001/1000<br>
| |
| Mapping: [{{val|1 15 -26 -28 -3 -44 18 -36 8}}, {{val|0 -27 57 62 13 96 -28 81 -7}}]<br>
| |
| POTE generator: ~24/17 = 596.249<br>
| |
| Vals: 2fh, 157cdfh, 159, 320i<br>
| |
| Badness: 0.017242<br><br>
| |
| '''29-limit'''<br>
| |
| Comma list: 441/440, 513/512, 529/528, 551/550, 609/608, 783/782, 833/832, 969/968<br>
| |
| Mapping: [{{val|1 15 -26 -28 -3 -44 18 -36 8 -18}}, {{val|0 -27 57 62 13 96 -28 81 -7 46}}]<br>
| |
| POTE generator: ~24/17 = 596.249<br>
| |
| Vals: 2fh, 157cdfhj, 159, 320ij<br>
| |
| Badness: 0.014267<br><br>
| |
| ; [[Schismatic family #Helena|Helena]] (53 & 118)
| |
| '''13-limit'''<br>
| |
| Comma list: 169/168, 325/324, 385/384, 3146/3125<br>
| |
| Mapping: [{{val|1 0 15 -59 51 -28}}, {{val|0 1 -8 39 -30 20}}]<br>
| |
| POTE generator: ~3/2 = 701.740<br>
| |
| Vals: 53, 118f, 171ef<br>
| |
| Badness: 0.036281<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 169/168, 273/272, 325/324, 385/384, 3146/3125<br>
| |
| Mapping: [{{val|1 0 15 -59 51 -28 -91}}, {{val|0 1 -8 39 -30 20 60}}]<br>
| |
| POTE generator: ~3/2 = 701.730<br>
| |
| Vals: 53, 118f, 171ef, 289eff<br>
| |
| Badness: 0.030688<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 169/168, 273/272, 286/285, 325/324, 385/384, 627/625<br>
| |
| Mapping: [{{val|1 0 15 -59 51 -28 -91 9}}, {{val|0 1 -8 39 -30 20 60 -3}}]<br>
| |
| POTE generator: ~3/2 = 701.729<br>
| |
| Vals: 53, 118f, 171ef, 289effh<br>
| |
| Badness: 0.021892<br><br>
| |
| | |
| ===<font style="font-size: 1.15em">Proposed in February 2022</font>===
| |
| '''<font style="font-size: 1.15em">1 February 2022</font>'''
| |
| ; [[Porwell temperaments #Hendecatonic|Cohendecatonic]] (22 & 121)
| |
| '''11-limit'''<br>
| |
| Comma list: 540/539, 896/891, 4375/4356<br>
| |
| Mapping: [{{val|11 17 26 30 39}}, {{val|0 1 -1 2 -2}}]<br>
| |
| POTE generator: ~3/2 = 703.686<br>
| |
| Vals: 22, 77e, 99e, 121, 220e<br>
| |
| Badness: 0.038042<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 352/351, 364/363, 540/539, 625/624<br>
| |
| Mapping: [{{val|11 17 26 30 39 43}}, {{val|0 1 -1 2 -2 -5}}]<br>
| |
| POTE generator: ~3/2 = 703.888<br>
| |
| Vals: 22, 77eff, 99ef, 121, 341bdeeff<br>
| |
| Badness: 0.036112<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 256/255, 352/351, 364/363, 375/374, 540/539<br>
| |
| Mapping: [{{val|11 17 26 30 39 43 45}}, {{val|0 1 -1 2 -2 -5 0}}]<br>
| |
| POTE generator: ~3/2 = 703.877<br>
| |
| Vals: 22, 77eff, 99ef, 121, 220efg, 341bdeeffgg<br>
| |
| Badness: 0.022590<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">2 February 2022</font>'''
| |
| ; [[Porwell temperaments #Nessafof|Nessa]] (15 & 84)
| |
| '''11-limit'''<br>
| |
| Comma list: 441/440, 1344/1331, 4375/4356<br>
| |
| Mapping: [{{val|3 2 5 10 10}}, {{val|0 7 5 -4 1}}]<br>
| |
| POTE generator: ~35/32 = 157.539<br>
| |
| Vals: 15, 54b, 69, 84, 99e<br>
| |
| Badness: 0.048836<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 144/143, 364/363, 441/440, 625/624<br>
| |
| Mapping: [{{val|3 2 5 10 10 6}}, {{val|0 7 5 -4 1 13}}]<br>
| |
| POTE generator: ~35/32 = 157.429<br>
| |
| Vals: 15, 54bf, 69, 84, 99ef, 183ef, 282eeff<br>
| |
| Badness: 0.037409<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">11 February 2022</font>'''
| |
| ; [[Cloudy clan #Decic|Splendecic]] (10 & 50)
| |
| <font style="font-size: 0.85em">(Name revised from ''Splendic'' on 12 February 2022)</font><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 225/224, 1617/1600, 2401/2376<br>
| |
| Mapping: [{{val|10 0 39 28 82}}, {{val|0 1 -1 0 -3}}]<br>
| |
| POTE generator: ~3/2 = 698.518<br>
| |
| Vals: 10e, 30bee, 40e, 50, 60e, 110de<br>
| |
| Badness: 0.059802<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 105/104, 196/195, 1001/1000, 1188/1183<br>
| |
| Mapping: [{{val|10 0 39 28 82 37}}, {{val|0 1 -1 0 -3 0}}]<br>
| |
| POTE generator: ~3/2 = 698.365<br>
| |
| Vals: 10e, 30bee, 40e, 50, 60e, 110de<br>
| |
| Badness: 0.037989<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 105/104, 170/169, 196/195, 289/288, 375/374<br>
| |
| Mapping: [{{val|10 0 39 28 82 37 25}}, {{val|0 1 -1 0 -3 0 1}}]<br>
| |
| POTE generator: ~3/2 = 698.375<br>
| |
| Vals: 10e, 30beeg, 40e, 50, 60e, 110deg<br>
| |
| Badness: 0.026050<br><br>
| |
| ; [[Cloudy clan #Decic|Prodecic]] (10 & 50)
| |
| <font style="font-size: 0.85em">(Name revised from ''Prodigic'' on 12 February 2022)</font><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 225/224, 441/440, 5929/5832<br>
| |
| Mapping: [{{val|10 0 39 28 -13}}, {{val|0 1 -1 0 3}}]<br>
| |
| POTE generator: ~3/2 = 700.210<br>
| |
| Vals: 10, 40ee, 50e, 60e<br>
| |
| Badness: 0.066600<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 105/104, 196/195, 275/273, 5929/5832<br>
| |
| Mapping: [{{val|10 0 39 28 -13 37}}, {{val|0 1 -1 0 3 0}}]<br>
| |
| POTE generator: ~3/2 = 700.503<br>
| |
| Vals: 10, 40ee, 50e, 60e<br>
| |
| Badness: 0.041788<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 105/104, 154/153, 170/169, 196/195, 289/288<br>
| |
| Mapping: [{{val|10 0 39 28 -13 37 25}}, {{val|0 1 -1 0 3 0 1}}]<br>
| |
| POTE generator: ~3/2 = 700.474<br>
| |
| Vals: 10, 40ee, 50e, 60e<br>
| |
| Badness: 0.027590<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">12 February 2022</font>'''
| |
| ; [[Meantone family #Septimal meantone|Semimeantone]] (12 & 62)
| |
| '''13-limit'''<br>
| |
| Comma list: 81/80, 99/98, 126/125, 847/845<br>
| |
| Mapping: [{{val|2 3 4 4 4 4}}, {{val|0 1 4 10 18 21}}]<br>
| |
| POTE generator: ~3/2 = 697.005<br>
| |
| Vals: 12f, 50eff, 62, 136b, 198bef, 334bbeef<br>
| |
| Badness: 0.040668<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 81/80, 99/98, 126/125, 221/220, 289/288<br>
| |
| Mapping: [{{val|2 3 4 4 4 4 8}}, {{val|0 1 4 10 18 21 1}}]<br>
| |
| POTE generator: ~3/2 = 696.927<br>
| |
| Vals: 12f, 50eff, 62, 136bg, 198befgg<br>
| |
| Badness: 0.031491<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 81/80, 99/98, 126/125, 153/152, 209/208, 221/220<br>
| |
| Mapping: [{{val|2 3 4 4 4 4 8 8}}, {{val|0 1 4 10 18 21 1 3}}]<br>
| |
| POTE generator: ~3/2 = 696.906<br>
| |
| Vals: 12f, 50eff, 62<br>
| |
| Badness: 0.024206<br><br>
| |
| ; [[Diaschismic family #Keen|Keenic]] (22 & 34)
| |
| '''13-limit'''<br>
| |
| Comma list: 91/90, 100/99, 352/351, 385/384<br>
| |
| Mapping: [{{val|2 3 5 4 8 9}}, {{val|0 1 -2 9 -6 -9}}]<br>
| |
| POTE generator: ~3/2 = 707.257<br>
| |
| Vals: 22, 34, 56<br>
| |
| Badness: 0.040351<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 91/90, 100/99, 136/135, 154/153, 256/255<br>
| |
| Mapping: [{{val|2 3 5 4 8 9 8}}, {{val|0 1 -2 9 -6 -9 1}}]<br>
| |
| POTE generator: ~3/2 = 707.252<br>
| |
| Vals: 22, 34, 56<br>
| |
| Badness: 0.026917<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">19 February 2022</font>'''
| |
| ; [[Sensipent family #Warrior|Warrior]] (46 & 111)
| |
| '''7-limit'''<br>
| |
| Comma list: 5120/5103, 78732/78125<br>
| |
| Mapping: [{{val|1 -1 -1 15}}, {{val|0 7 9 -33}}]<br>
| |
| POTE generator: ~162/125 = 443.289<br>
| |
| Vals: 46, 111, 157, 268cd<br>
| |
| Badness: 0.118239<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 176/175, 1331/1323, 5120/5103<br>
| |
| Mapping: [{{val|1 -1 -1 15 9}}, {{val|0 7 9 -33 -15}}]<br>
| |
| POTE generator: ~128/99 = 443.274<br>
| |
| Vals: 46, 65d, 111, 268cd, 379cdd<br>
| |
| Badness: 0.046383<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 176/175, 351/350, 847/845, 1331/1323<br>
| |
| Mapping: [{{val|1 -1 -1 15 9 17}}, {{val|0 7 9 -33 -15 -36}}]<br>
| |
| POTE generator: ~84/65 = 443.270<br>
| |
| Vals: 46, 65d, 111, 268cd, 379cddf<br>
| |
| Badness: 0.028735<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 176/175, 256/255, 351/350, 442/441, 715/714<br>
| |
| Mapping: [{{val|1 -1 -1 15 9 17 10}}, {{val|0 7 9 -33 -15 -36 -16}}]<br>
| |
| POTE generator: ~22/17 = 443.270<br>
| |
| Vals: 46, 65d, 111, 268cdg, 379cddfg<br>
| |
| Badness: 0.018105<br><br>
| |
| ; [[Sensipent family #Trisensory|Trisensory]] (27 & 84)
| |
| '''7-limit'''<br>
| |
| Comma list: 1728/1715, 78732/78125<br>
| |
| Mapping: [{{val|3 4 6 8}}, {{val|0 7 9 4}}]<br>
| |
| POTE generator: ~36/35 = 43.147<br>
| |
| Vals: 27, 57, 84, 111, 195d, 306d<br>
| |
| Badness: 0.089740<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 176/175, 540/539, 78732/78125<br>
| |
| Mapping: [{{val|3 4 6 8 8}}, {{val|0 7 9 4 22}}]<br>
| |
| POTE generator: ~36/35 = 43.292<br>
| |
| Vals: 27e, 84e, 111<br>
| |
| Badness: 0.058413<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 176/175, 351/350, 540/539, 9295/9261<br>
| |
| Mapping: [{{val|3 4 6 8 8 11}}, {{val|0 7 9 4 22 1}}]<br>
| |
| POTE generator: ~36/35 = 43.288<br>
| |
| Vals: 27e, 84e, 111<br>
| |
| Badness: 0.034829<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 176/175, 351/350, 442/441, 540/539, 715/714<br>
| |
| Mapping: [{{val|3 4 6 8 8 11 10}}, {{val|0 7 9 4 22 1 21}}]<br>
| |
| POTE generator: ~36/35 = 43.276<br>
| |
| Vals: 27eg, 84e, 111<br>
| |
| Badness: 0.024120<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 176/175, 286/285, 324/323, 351/350, 400/399, 476/475<br>
| |
| Mapping: [{{val|3 4 6 8 8 11 10 12}}, {{val|0 7 9 4 22 1 21 7}}]<br>
| |
| POTE generator: ~36/35 = 43.292<br>
| |
| Vals: 27eg, 84e, 111<br>
| |
| Badness: 0.018466<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">20 February 2022</font>'''
| |
| ; [[Sensipent family #Sensi|Bisensi]] (8 & 38)
| |
| '''11-limit'''<br>
| |
| Comma list: 121/120, 126/125, 245/243<br>
| |
| Mapping: [{{val|2 5 7 9 9}}, {{val|0 -7 -9 -13 -8}}]<br>
| |
| POTE generator: ~11/10 = 156.692<br>
| |
| Vals: 8d, 38d, 46, 176dde, 222cdde, 268cddee<br>
| |
| Badness: 0.041723<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 91/90, 121/120, 126/125, 169/168<br>
| |
| Mapping: [{{val|2 5 7 9 9 10}}, {{val|0 -7 -9 -13 -8 -10}}]<br>
| |
| POTE generator: ~11/10 = 156.725<br>
| |
| Vals: 8d, 38df, 46<br>
| |
| Badness: 0.026339<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">25 February 2022</font>'''
| |
| ; [[Mirkwai clan #Browser|Browser]] (103 & 111)
| |
| '''7-limit'''<br>
| |
| Comma list: 16875/16807, 78732/78125<br>
| |
| Mapping: [{{val|1 6 8 10}}, {{val|0 -35 -45 -57}}]<br>
| |
| POTE generator: ~49/45 = 151.399<br>
| |
| Vals: 103, 111, 214<br>
| |
| Badness: 0.180645<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 540/539, 1375/1372, 78732/78125<br>
| |
| Mapping: [{{val|1 6 8 10 8}}, {{val|0 -35 -45 -57 -36}}]<br>
| |
| POTE generator: ~12/11 = 151.405<br>
| |
| Vals: 103, 214<br>
| |
| Badness: 0.057634<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 351/350, 540/539, 847/845, 1375/1372<br>
| |
| Mapping: [{{val|1 6 8 10 8 9}}, {{val|0 -35 -45 -57 -36 -42}}]<br>
| |
| POTE generator: ~12/11 = 151.403<br>
| |
| Vals: 103, 111, 214<br>
| |
| Badness: 0.028822<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 351/350, 540/539, 561/560, 715/714, 847/845<br>
| |
| Mapping: [{{val|1 6 8 10 8 9 8}}, {{val|0 -35 -45 -57 -36 -42 -31}}]<br>
| |
| POTE generator: ~12/11 = 151.397<br>
| |
| Vals: 103, 111, 214<br>
| |
| Badness: 0.020384<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 324/323, 351/350, 456/455, 495/494, 540/539, 715/714<br>
| |
| Mapping: [{{val|1 6 8 10 8 9 8 18}}, {{val|0 -35 -45 -57 -36 -42 -31 -109}}]<br>
| |
| POTE generator: ~12/11 = 151.396<br>
| |
| Vals: 103h, 111, 214<br>
| |
| Badness: 0.017570<br><br>
| |
| ; [[Mirkwai clan #Grazer|Grazer]] (113 & 121)
| |
| '''7-limit'''<br>
| |
| Comma list: 16875/16807, 1071875/1062882<br>
| |
| Mapping: [{{val|1 -3 -4 -5}}, {{val|0 37 51 63}}]<br>
| |
| POTE generator: ~49/45 = 148.719<br>
| |
| Vals: 113, 121, 234<br>
| |
| Badness: 0.217166<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 540/539, 1375/1372, 218750/216513<br>
| |
| Mapping: [{{val|1 -3 -4 -5 -1}}, {{val|0 37 51 63 36}}]<br>
| |
| POTE generator: ~12/11 = 148.729<br>
| |
| Vals: 113, 121, 234, 355e, 589cee<br>
| |
| Badness: 0.076062<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 325/324, 364/363, 540/539, 2200/2197<br>
| |
| Mapping: [{{val|1 -3 -4 -5 -1 -2}}, {{val|0 37 51 63 36 46}}]<br>
| |
| POTE generator: ~12/11 = 148.729<br>
| |
| Vals: 113, 121, 234, 355e, 589cee<br>
| |
| Badness: 0.036248<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 325/324, 364/363, 540/539, 595/594, 2000/1989<br>
| |
| Mapping: [{{val|1 -3 -4 -5 -1 -2 0}}, {{val|0 37 51 63 36 46 33}}]<br>
| |
| POTE generator: ~12/11 = 148.735<br>
| |
| Vals: 113, 121, 234g, 355eg<br>
| |
| Badness: 0.025410<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 325/324, 364/363, 400/399, 540/539, 595/594, 665/663<br>
| |
| Mapping: [{{val|1 -3 -4 -5 -1 -2 0 4}}, {{val|0 37 51 63 36 46 33 2}}]<br>
| |
| POTE generator: ~12/11 = 148.727<br>
| |
| Vals: 113, 121, 234g, 355eg, 589ceegg<br>
| |
| Badness: 0.022574<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">26 February 2022</font>'''
| |
| ; [[Diaschismic family #Quadrasruta|Quadrasruta]] (58 & 68)
| |
| '''7-limit'''<br>
| |
| Comma list: 2048/2025, 2401/2400<br>
| |
| Mapping: [{{val|2 0 11 8}}, {{val|0 4 -8 -3}}]<br>
| |
| POTE generator: ~15/14 = 123.784<br>
| |
| Vals: 10, 38c, 48c, 58, 68, 126<br>
| |
| Badness: 0.073569<br><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 176/175, 896/891, 2401/2400<br>
| |
| Mapping: [{{val|2 0 11 8 22}}, {{val|0 4 -8 -3 -19}}]<br>
| |
| POTE generator: ~15/14 = 123.882<br>
| |
| Vals: 58, 126, 184c, 310bccde<br>
| |
| Badness: 0.049018<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 176/175, 196/195, 512/507, 676/675<br>
| |
| Mapping: [{{val|2 0 11 8 22 9}}, {{val|0 4 -8 -3 -19 -2}}]<br>
| |
| POTE generator: ~14/13 = 123.901<br>
| |
| Vals: 58, 126f, 184cff<br>
| |
| Badness: 0.028463<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 136/135, 170/169, 176/175, 196/195, 256/255<br>
| |
| Mapping: [{{val|2 0 11 8 22 9 5}}, {{val|0 4 -8 -3 -19 -2 4}}]<br>
| |
| POTE generator: ~14/13 = 123.838<br>
| |
| Vals: 58, 126f<br>
| |
| Badness: 0.023820<br><br>
| |
| ; [[Diaschismic family #Quadrasruta|Quadrafourths]] (10 & 58)
| |
| '''11-limit'''<br>
| |
| Comma list: 243/242, 441/440, 2048/2025<br>
| |
| Mapping: [{{val|2 0 11 8 -1}}, {{val|0 4 -8 -3 10}}]<br>
| |
| POTE generator: ~15/14 = 123.983<br>
| |
| Vals: 10, 38c, 48c, 58<br>
| |
| Badness: 0.049114<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 144/143, 196/195, 243/242, 676/675<br>
| |
| Mapping: [{{val|2 0 11 8 -1 9}}, {{val|0 4 -8 -3 10 -2}}]<br>
| |
| POTE generator: ~14/13 = 123.972<br>
| |
| Vals: 10, 38c, 48c, 58<br>
| |
| Badness: 0.026743<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 136/135, 144/143, 170/169, 196/195, 221/220<br>
| |
| Mapping: [{{val|2 0 11 8 -1 9 5}}, {{val|0 4 -8 -3 10 -2 4}}]<br>
| |
| POTE generator: ~14/13 = 123.923<br>
| |
| Vals: 10, 38c, 48c, 58, 126eef, 184ceeff<br>
| |
| Badness: 0.022239<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">27 February 2022</font>'''
| |
| ; [[Diaschismic family #Pajara|Pajarita]] (10 & 12)
| |
| '''13-limit'''<br>
| |
| Comma list: 40/39, 50/49, 64/63, 66/65<br>
| |
| Mapping: [{{val|2 0 11 12 26 17}}, {{val|0 1 -2 -2 -6 -3}}]<br>
| |
| POTE generator: ~3/2 = 707.450<br>
| |
| Vals: 10e, 12f, 22f<br>
| |
| Badness: 0.022677<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 40/39, 50/49, 64/63, 66/65, 85/84<br>
| |
| Mapping: [{{val|2 0 11 12 26 17 5}}, {{val|0 1 -2 -2 -6 -3 1}}]<br>
| |
| POTE generator: ~3/2 = 707.947<br>
| |
| Vals: 10e, 12f, 22f<br>
| |
| Badness: 0.019007<br><br>
| |
| | |
| ===<font style="font-size: 1.15em">Proposed in March 2022</font>===
| |
| '''<font style="font-size: 1.15em">4 March 2022</font>'''
| |
| ; [[Amity family #Catamite|Catamite]] (46 & 99)
| |
| '''11-limit'''<br>
| |
| Comma list: 441/440, 896/891, 4375/4374<br>
| |
| Mapping: [{{val|1 3 6 -2 -7}}, {{val|0 -5 -13 17 37}}]<br>
| |
| POTE generator: ~128/105 = 339.340<br>
| |
| Vals: 46, 99e, 145, 244e<br>
| |
| Badness: 0.040976<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 196/195, 352/351, 364/363, 4375/4374<br>
| |
| Mapping: [{{val|1 3 6 -2 -7 -11}}, {{val|0 -5 -13 17 37 52}}]<br>
| |
| POTE generator: ~128/105 = 339.313<br>
| |
| Vals: 46, 99ef, 145<br>
| |
| Badness: 0.034215<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 196/195, 256/255, 352/351, 364/363, 1156/1155<br>
| |
| Mapping: [{{val|1 3 6 -2 -7 -11 -1}}, {{val|0 -5 -13 17 37 52 18}}]<br>
| |
| POTE generator: ~17/14 = 339.313<br>
| |
| Vals: 46, 99ef, 145<br>
| |
| Badness: 0.021193<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 196/195, 256/255, 343/342, 352/351, 364/363, 476/475<br>
| |
| Mapping: [{{val|1 3 6 -2 -7 -11 -1 -13}}, {{val|0 -5 -13 17 37 52 18 61}}]<br>
| |
| POTE generator: ~17/14 = 339.325<br>
| |
| Vals: 46, 99ef, 145<br>
| |
| Badness: 0.018864<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">6 March 2022</font>'''
| |
| ; [[Mirkwai clan #Kwai|Hemikwai]] (82 & 111)
| |
| '''13-limit'''<br>
| |
| Comma list: 540/539, 676/675, 1375/1372, 5120/5103<br>
| |
| Mapping: [{{val|1 2 16 14 -4 18}}, {{val|0 -2 -66 -54 36 -69}}]<br>
| |
| POTE generator: ~15/13 = 248.686<br>
| |
| Vals: 82, 111, 193, 304d<br>
| |
| Badness: 0.044108<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 442/441, 540/539, 676/675, 715/714, 5120/5103<br>
| |
| Mapping: [{{val|1 2 16 14 -4 18 13}}, {{val|0 -2 -66 -54 36 -69 -43}}]<br>
| |
| POTE generator: ~15/13 = 248.686<br>
| |
| Vals: 82, 111, 193, 304d<br>
| |
| Badness: 0.025806<br><br>
| |
| '''19-limit'''<br>
| |
| Comma list: 400/399, 442/441, 540/539, 676/675, 715/714, 1445/1444<br>
| |
| Mapping: [{{val|1 2 16 14 -4 18 13 20}}, {{val|0 -2 -66 -54 36 -69 -43 -76}}]<br>
| |
| POTE generator: ~15/13 = 248.687<br>
| |
| Vals: 82, 111, 193, 304dh<br>
| |
| Badness: 0.019146<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">9 March 2022</font>'''
| |
| ; [[Orwellismic temperaments #Quartonic|Yarm]] (79 & 80)
| |
| '''11-limit'''<br>
| |
| Comma list: 1331/1323, 1728/1715, 4000/3969<br>
| |
| Mapping: [{{val|1 2 3 3 4}}, {{val|0 -33 -54 -15 -43}}]<br>
| |
| POTE generator: ~100/99 = 15.046<br>
| |
| Vals: 79, 80, 239dd, 319dd<br>
| |
| Badness: 0.099950<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 169/168, 325/324, 640/637, 1331/1323<br>
| |
| Mapping: [{{val|1 2 3 3 4 4}}, {{val|0 -33 -54 -15 -43 -24}}]<br>
| |
| POTE generator: ~100/99 = 15.060<br>
| |
| Vals: 79, 80, 159d, 239dd<br>
| |
| Badness: 0.061645<br><br>
| |
| '''17-limit'''<br>
| |
| Comma list: 169/168, 325/324, 561/560, 640/637, 850/847<br>
| |
| Mapping: [{{val|1 2 3 3 4 4 4}}, {{val|0 -33 -54 -15 -43 -24 7}}]<br>
| |
| POTE generator: ~100/99 = 15.066<br>
| |
| Vals: 79, 80, 159d, 239dd<br>
| |
| Badness: 0.046718<br><br>
| |
| | |
| '''<font style="font-size: 1.15em">10 March 2022</font>'''
| |
| ; [[Jubilismic clan #Diminished|Cohedim]] (8bce & 12)
| |
| <font style="font-size: 0.85em">(''Proposed name for disambiguation of diminished extension'')</font><br>
| |
| '''11-limit'''<br>
| |
| Comma list: 36/35, 50/49, 125/121<br>
| |
| Mapping: [{{val|4 7 10 12 15}}, {{val|0 -2 -2 -2 -3}}]<br>
| |
| POTE generator: ~12/11 = 101.679<br>
| |
| Vals: 8bce, 12<br>
| |
| Badness: 0.054965<br><br>
| |
| '''13-limit'''<br>
| |
| Comma list: 36/35, 50/49, 66/65, 125/121<br>
| |
| Mapping: [{{val|4 7 10 12 15 16}}, {{val|0 -2 -2 -2 -3 -3}}]<br>
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| POTE generator: ~12/11 = 102.299<br>
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| Vals: 8bcef, 12f<br>
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| Badness: 0.041707<br><br>
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| | |
| '''<font style="font-size: 1.15em">12 March 2022</font>'''
| |
| ; [[Tetracot family #Octacot|October]] (41 & 68)
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| '''11-limit'''<br>
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| Comma list: 245/243, 385/384, 1375/1372<br>
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| Mapping: [{{val|1 1 1 2 5}}, {{val|0 8 18 11 -21}}]<br>
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| POTE generator: ~21/20 = 88.035<br>
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| Vals: 27, 41, 68, 109, 150, 259<br>
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| Badness: 0.039643<br><br>
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| '''13-limit'''<br>
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| Comma list: 196/195, 245/243, 275/273, 385/384<br>
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| Mapping: [{{val|1 1 1 2 5 4}}, {{val|0 8 18 11 -21 -4}}]<br>
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| POTE generator: ~21/20 = 88.075<br>
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| Vals: 27, 41, 68, 109f<br>
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| Badness: 0.031136<br><br>
| |
| '''17-limit'''<br>
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| Comma list: 154/153, 170/169, 196/195, 245/243, 256/255<br>
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| Mapping: [{{val|1 1 1 2 5 4 6}}, {{val|0 8 18 11 -21 -4 -26}}]<br>
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| POTE generator: ~21/20 = 88.104<br>
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| Vals: 27, 41, 68, 109f<br>
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| Badness: 0.026833<br><br>
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| '''19-limit'''<br>
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| Comma list: 154/153, 170/169, 190/189, 196/195, 209/208, 245/243<br>
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| Mapping: [{{val|1 1 1 2 5 4 6 3}}, {{val|0 8 18 11 -21 -4 -26 17}}]<br>
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| POTE generator: ~19/18 = 88.113<br>
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| Vals: 27, 41, 68, 109f, 177ffg<br>
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| Badness: 0.020511<br><br>
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| | |
| == Commas which this user proposed names ==
| |
| This user proposed new names for following commas.
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| | |
| ===<font style="font-size: 1.15em">Proposed in April 2021</font>===
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| '''<font style="font-size: 1.15em">4 April 2021</font>'''
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| * [[Hewuermera temperaments|hewuermera]]: 589824/588245, satribiru-agu | |
| * [[Triwellismic temperaments|triwellisma]]: 235298/234375, tribizo-asepgu (''name revised on 24 April 2021'')
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| '''<font style="font-size: 1.15em">25 April 2021</font>''' | | '''<font style="font-size: 1.15em">27 January 2024</font>''' |
| * [[Quadrawellismic temperaments|quadrawellisma]]: 67528125/67108864, lalaquadzo-aquinyo | | * [[116/115|sironisma]]: 116/115, twenotwethugu |
| | * [[117/116|lomisma]]: 117/116, twenutho |
| | * [[175/174|major chthonovinema]]: 175/174, twenuzoyoyo |
| | * [[204/203|kallistisma]]: 204/203, twenusoru |
| | * [[232/231|major paravinema]]: 232/231, twenoluru |
| | * [[261/260|major vinetonema]]: 261/260, twenothugu |
| | * [[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 |
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|
| '''<font style="font-size: 1.15em">26 April 2021</font>''' | | '''<font style="font-size: 1.15em">3 May 2024</font>''' |
| * [[Catasyc temperaments|catasyc comma]]: 390625/387072, laruquadbiyo | | * [[729/722|undevicesimal diaschisma]]: 729/722, lanunu |
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| '''<font style="font-size: 1.15em">28 April 2021</font>''' | | '''<font style="font-size: 1.15em">1 June 2024</font>''' |
| * [[Mistismic temperaments|mistisma]]: 458752/455625, sazoquadgu | | * [[unisquarisma]]: 12005/11979, trilu-aquadzo-ayo |
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|
| ===<font style="font-size: 1.15em">Proposed in May 2021</font>===
| | '''<font style="font-size: 1.15em">22 December 2024</font>''' |
| '''<font style="font-size: 1.15em">3 May 2021</font>''' | | * [[429/425|middle semisixthma]]: 429/425, suthologugu |
| * [[Hemfiness temperaments|hemfiness comma]]: 4096000/4084101, saquinru-atriyo | | * [[507/500|large semisixthma]]: 507/500, thothotrigu |
| * [[Marvelfifths temperaments|marvelfifths comma]]: 158203125/157351936, laquadru-atritriyo (''name revised on 13 May 2021'') | | * [[1452/1445|small semisixthma]]: 1452/1445, susulologu |
| * [[Chromatisma|chromatisma]]: 640000000000000000/635585924776181463, trisa-triru-aquadquadyo | | * [[semisixthmisma]]: 63888/63869, trisu-athutrilo |
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|
| '''<font style="font-size: 1.15em">4 May 2021</font>''' | | ===<font style="font-size: 1.15em">Proposed in 2025</font>=== |
| * [[Bronzismic temperaments|bronzisma]]: 2097152/2083725, satriru-agugu | | '''<font style="font-size: 1.15em">20 March 2025</font>''' |
| | * [[6860/6859|devicubisma]]: 6860/6859, trinuzo-ayo |
| | * [[tricecubisma]]: 29792/29791, trithiwu-anozozo |
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|
| '''<font style="font-size: 1.15em">6 May 2021</font>''' | | '''<font style="font-size: 1.15em">21 March 2025</font>''' |
| * [[Sesquiquartismic temperaments|sesquiquartisma]]: 2460375/2458624, laquadru-atruyo | | * [[8625/8624|beerglass comma]]: 8625/8624, twetholururutriyo |
| * [[Mitonismic temperaments|mitonisma]]: 5250987/5242880, laquadzo-agu | | * [[10626/10625|demiglace comma]]: 10626/10625, twethosulozoquadgu |
| * [[Olympic temperaments|olympia]]: 131072/130977, salururu (''name revised on 2 August 2021'')
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| '''<font style="font-size: 1.15em">13 May 2021</font>''' | | '''<font style="font-size: 1.15em">29 March 2025</font>''' |
| * [[Sensamagicfifths temperaments|sensamagicfifths comma]]: {{monzo|-11 42 -7 -14}}, trila-seprurugu | | * [[145/144|adeonisma]]: 145/144, twenoyo |
| | * [[552/551|sigelindisma]]: 552/551, twenutwethonu |
| | * [[638/637|moirisma]]: 638/637, twenothuloruru |
| | * [[726/725|joellisma]]: 726/725, twenubilogu |
| | * [[783/782|norisma]]: 783/782, twenotwethusu |
| | * [[1015/1014|christisma]]: 1015/1014, twenothuthuzoyo |
| | * [[1045/1044|michelisma]]: 1045/1044, twenunoloyo |
| | * [[1276/1275|ucclisma]]: 1276/1275, twenosulogugu |
| | * [[1450/1449|raimondisma]]: 1450/1449, twenotwethuruyoyo |
| | * [[1596/1595|itzigsohnisma]]: 1596/1595, twenunoluzogu |
| | * [[1625/1624|norcma]]: 1625/1624, twenuthorutriyo |
| | * [[1683/1682|castafiorisma]]: 1683/1682, bitwenu-asolo |
| | * [[2176/2175|donarisma]]: 2176/2175, twenusogugu |
| | * [[2205/2204|glinkisma]]: 2205/2204, twenunuzozoyo |
| | * [[2262/2261|mitidikisma]]: 2262/2261, twenonusuthoru |
| | * [[5929/5928|manzanisma]]: 5929/5928, nuthubilozo |
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|
| '''<font style="font-size: 1.15em">19 May 2021</font>''' | | '''<font style="font-size: 1.15em">6 April 2025</font>''' |
| * [[Secanticorn temperaments|secanticornisma]]: 177147/175000, laruquingu | | * [[6144/6137|langwisma]]: 6144/6137, nunusu |
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| '''<font style="font-size: 1.15em">23 May 2021</font>''' | | '''<font style="font-size: 1.15em">10 April 2025</font>''' |
| * [[Supermatertismic temperaments|supermatertisma]]: 52734375/52706752, lasepru-atritriyo | | * <s>[[129/128|Magikarp comma]]</s>: 129/128, fotho |
| * [[Supermasesquartismic temperaments|supermasesquartisma]]: 184528125/184473632, laquadbiru-aquinyo | | * <s>[[130/129|Gyarados comma]]</s>: 130/129, fothuthoyo |
| | * [[2640/2639|hällströmisma]]: 2640/2639, twenuthuloruyo |
| | * [[2784/2783|domeykisma]]: 2784/2783, twenotwethululu |
| | * [[3249/3248|musashinisma]]: 3249/3248, twenunonoru |
| | * [[3451/3450|mentorisma]]: 3451/3450, twenotwethusozogugu |
| | * [[4785/4784|petrovsma]]: 4785/4784, twenotwethuthuloyo |
| | * [[5916/5915|woudisma]]: 5916/5915, twenosothuthurugu |
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|
| '''<font style="font-size: 1.15em">27 May 2021</font>''' | | '''<font style="font-size: 1.15em">11 April 2025</font>''' |
| * [[Septimirod temperaments|septimirod comma]]: 84035/82944, quinzo-ayo | | * [[10557/10556|rowlandisma]]: 10557/10556, twenutwethosothuru |
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|
| ===<font style="font-size: 1.15em">Proposed in June 2021</font>===
| | '''<font style="font-size: 1.15em">15 April 2025</font>''' |
| '''<font style="font-size: 1.15em">8 June 2021</font>''' | | * [[371293/262144|tridecimal antidilemma]]: 371293/262144, laquintho 5th |
| * [[Vorwell clan|vorwell comma]]: 134217728/133984375, sasatriru-aquadbigu | | * [[524288/371293|tridecimal dilemma]]: 524288/371293, saquinthu 4th |
| * [[Maitri clan|maitri comma]]: 40353607/40000000, tritrizo-asepgu | | * [[1610510/1594323|fifthchromisma]]: 1610510/1594323, saquinlo-ayo |
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|
| '''<font style="font-size: 1.15em">28 June 2021</font>''' | | '''<font style="font-size: 1.15em">17 April 2025</font>''' |
| * [[Compass temperaments|compass comma]]: 9765625/9680832, quinruyoyo | | * [[2001/2000|major discoverisma]]: 2001/2000, twenotwethotrigu |
| | * [[2002/2001|minor discoverisma]]: 2002/2001, twenutwethutholozo |
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|
| ===<font style="font-size: 1.15em">Proposed in July 2021</font>===
| | '''<font style="font-size: 1.15em">26 April 2025</font>''' |
| '''<font style="font-size: 1.15em">12 July 2021</font>''' | | * [[2465/2464|laservine comma]]: 2465/2464, twenosoluruyo |
| * [[Fantares temperaments|fantares comma]]: 4375/4356, luluzoquadyo | |
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| '''<font style="font-size: 1.15em">13 July 2021</font>''' | | '''<font style="font-size: 1.15em">27 April 2025</font>''' |
| * [[Septiness clan|septiness comma]]: 67108864/66706983, sasasepru | | * [[280/279|tricetone comma]]: 280/279, thiwuzoyo |
| * [[Decovulture temperaments|decovulture comma]]: 67108864/66976875, sasabirugugu
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|
| '''<font style="font-size: 1.15em">18 July 2021</font>''' | | '''<font style="font-size: 1.15em">2 May 2025</font>''' |
| * [[Pontiqak temperaments|pontiqak comma]]: 95703125/95551488, lazozotritriyo | | * [[6912/6859|deviaug comma]]: 6912/6859, trinu |
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|
| ===<font style="font-size: 1.15em">Proposed in August 2021</font>===
| | '''<font style="font-size: 1.15em">3 May 2025</font>''' |
| '''<font style="font-size: 1.15em">7 August 2021</font>''' | | * [[93/92|tricema]]: 93/92, thiwotwethu |
| * [[Slither clan|slither comma]]: 40960000/40353607, satritriru-aquadyo | | * [[155/154|scyllisma]]: 155/154, thiwoluruyo |
| | * [[156/155|xanthippisma]]: 156/155, thiwuthogu |
| | * [[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 |
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| '''<font style="font-size: 1.15em">8 August 2021</font>''' | | '''<font style="font-size: 1.15em">4 May 2025</font>''' |
| * [[Mermismic temperaments|mermisma]]: 2500000/2470629, sepruyo | | * [[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 |
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| '''<font style="font-size: 1.15em">13 August 2021</font>''' | | '''<font style="font-size: 1.15em">9 May 2025</font>''' |
| * [[Valenwuer temperaments|valenwuer comma]]: 110592/109375, sarutribigu | | * [[6076/6075|large ricegrain comma]]: 6076/6075, sathiwobizogu |
| * [[Negricorn temperaments|negricorn comma]]: 153664/151875, saquadzogu | | * [[6728/6727|sushi comma]]: 6728/6727, bithiwutweno-aru |
| | * [[8960/8959|small ricegrain comma]]: 8960/8959, thiwususuzoyo |
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|
| '''<font style="font-size: 1.15em">14 August 2021</font>''' | | '''<font style="font-size: 1.15em">10 May 2025</font>''' |
| * [[Parkleiness temperaments|parkleiness comma]]: 1959552/1953125, zotritrigu | | * [[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 |
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|
| '''<font style="font-size: 1.15em">19 August 2021</font>''' | | '''<font style="font-size: 1.15em">18 May 2025</font>''' |
| * [[Mynaslendic temperaments|mynaslender comma]]: 829440/823543, sepru-ayo | | * [[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 |
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|
| ===<font style="font-size: 1.15em">Proposed in September 2021</font>===
| | '''<font style="font-size: 1.15em">28 May 2025</font>''' |
| '''<font style="font-size: 1.15em">11 September 2021</font>''' | | * [[7942/7935|brigade comma]]: 7942/7935, bitwethuno-alogu |
| * [[Buzzardismic clan|buzzardisma]]: 65536/64827, saquadru | |
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| '''<font style="font-size: 1.15em">15 September 2021</font>''' | | '''<font style="font-size: 1.15em">29 May 2025</font>''' |
| * [[Neptunismic temperaments|neptunisma]]: 48828125/48771072, laruruleyo | | * [[barbadisma]]: 114383962274805 / 114349209288704, quadla-thuyo |
| | * [[undevicesimal counterschisma]]: 2.3.19 {{monzo|-75 50 -1}}, seplanu |
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|
| ===<font style="font-size: 1.15em">Proposed in October 2021</font>===
| | '''<font style="font-size: 1.15em">30 May 2025</font>''' |
| '''<font style="font-size: 1.15em">16 October 2021</font>''' | | * [[septendecimal quasithirdma]]: 19683/19652, latrisu |
| * [[Domicomp temperaments|domicomp comma]]: 413343/409600, lazogugu | | * [[septendecimal quasiminthma]]: 6975757441 / 6973568802, sasa-quadbiso |
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|
| ===<font style="font-size: 1.15em">Proposed in November 2021</font>===
| | '''<font style="font-size: 1.15em">1 June 2025</font>''' |
| '''<font style="font-size: 1.15em">5 November 2021</font>''' | | * [[undevicesimal quasitonema]]: 34359738368 / 34296447249, sasa-tribinu |
| * [[Trienstonisma|trienstonisma]]: 43046721/43025920, laquinru-agu | | * [[deviquasisma]]: 17594077438737 / 17592186044416, lala-sepno |
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| '''<font style="font-size: 1.15em">7 November 2021</font>''' | | '''<font style="font-size: 1.15em">9 June 2025</font>''' |
| * [[Lokismic temperaments|lokisma]]: 102760448/102515625, sasazozo-atribigu | | * [[226/225|reversed marvel comma]]: 226/225, 113ogg2 |
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|
| ===<font style="font-size: 1.15em">Proposed in January 2022</font>===
| | '''<font style="font-size: 1.15em">5 July 2025</font>''' |
| '''<font style="font-size: 1.15em">6 January 2022</font>''' | | * [[386/385|siegenisma]]: 386/385, 193o1urg1 |
| * [[Countriton comma|countriton comma]]: 16777216000000000 / 16677181699666569, quadsa-tritriyo | | * [[57122/57121|phocitremisma]]: 57122/57121, 239uu3o<sup>4</sup>2 |
| | <!-- * [[5104/5103|-isma]]: 5104/5103, satwenoloru --> |
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|
| '''<font style="font-size: 1.15em">11 January 2022</font>'''
| | == Scales which this user proposed names == |
| * [[3042/3025|diagassormisma]]: 3042/3025, bitholugu
| | This user proposed new names for following scales. |
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| '''<font style="font-size: 1.15em">15 January 2022</font>''' | | ===<font style="font-size: 1.15em">Proposed in May 2023</font>=== |
| * [[Gaster temperament|gaster comma]]: {{monzo|-70 72 -19}}, quadbila-negu | | '''<font style="font-size: 1.15em">16 May 2023</font>''' |
| | * [[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) |
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| '''<font style="font-size: 1.15em">22 January 2022</font>''' | | '''<font style="font-size: 1.15em">18 May 2023</font>''' |
| * [[Mabilismic clan|mabilisma]]: 1071875/1048576, latrizo-aquinyo | | * [[Omnidiatonic|interdia]]: 2L_3m_2s rank-3 scale (MV3, LMSLMSM and LMSMLSM) |
| * [[pentonisma]]: 281974669312/281950621875, saquinthuzogu | | * [[antinicetone]]: 2L_2m_3s rank-3 scale (MV3, LMSLSMS and LSMLSMS) |
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|
| ===<font style="font-size: 1.15em">Proposed in February 2022</font>===
| | '''<font style="font-size: 1.15em">20 May 2023</font>''' |
| '''<font style="font-size: 1.15em">22 February 2022</font>''' | | * [[villoid]]: 7L_2m_2s rank-3 scale (MV3, LLMLLSLLMLS and LLMLLSLMLLS) |
| * [[8281/8192|diahuntmisma]]: 8281/8192, labithozo | | * [[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) |
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| '''<font style="font-size: 1.15em">25 February 2022</font>''' | | '''<font style="font-size: 1.15em">21 May 2023</font>''' |
| * [[3645/3584|schismean comma]]: 3645/3584, laruyo | | * [[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) |
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|
| ===<font style="font-size: 1.15em">Proposed in March 2022</font>=== | | ===<font style="font-size: 1.15em">Proposed in July 2023</font>=== |
| '''<font style="font-size: 1.15em">6 March 2022</font>''' | | '''<font style="font-size: 1.15em">2 July 2023</font>''' |
| * [[Acrodec temperaments|acrodec comma]]: 7710244864/7688671875, sasatribizo-aquadbigu | | * [[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) |
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| == Documents == | | == Documents == |
| | Notation: |
| | * [[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/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> |
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| | == Music == |
| | * ''[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] |