User:Xenllium: Difference between revisions

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===<font style="font-size: 1.15em">Proposed in 2019</font>===
===<font style="font-size: 1.15em">Proposed in 2019</font>===
<!-- [[User:Xenllium/Temperament names proposed in 2019|List of temperament names proposed in 2019]] -->
'''<font style="font-size: 1.15em">March 2019</font>'''
'''<font style="font-size: 1.15em">March 2019</font>'''
* [[Icositritonic]]
* [[Icositritonic]]
Line 21: Line 20:


===<font style="font-size: 1.15em">Proposed in 2021</font>===
===<font style="font-size: 1.15em">Proposed in 2021</font>===
<!-- [[User:Xenllium/Temperament names proposed in 2021|List of temperament names proposed in 2021]] -->
'''<font style="font-size: 1.15em">March 2021</font>'''
'''<font style="font-size: 1.15em">March 2021</font>'''
* [[Trident]]
* [[Trident]]
Line 170: Line 168:
* [[Hyperkleismic]]
* [[Hyperkleismic]]


===<font style="font-size: 1.15em">Proposed in January 2022</font>===
===<font style="font-size: 1.15em">Proposed in 2022</font>===
'''<font style="font-size: 1.15em">2 January 2022</font>'''
'''<font style="font-size: 1.15em">January 2022</font>'''
; [[Starling temperaments #Cobalt|Cobalt]] (27 &amp; 81)
* [[Cobalt]]
<font style="font-size: 0.85em">(Name revised from ''Enneaplonic'' on 5 January 2022)</font><br>
* [[Cobaltous]]
'''7-limit'''<br>
* [[Cobaltic]]
Comma list: 126/125, 40353607/40310784<br>
* [[Cobaltite]]
Mapping: [{{val|27 43 63 76}}, {{val|0 -1 -1 -1}}]<br>
* [[Pontoid]]
POTE generator: ~3/2 = 701.244<br>
* [[Grackle]] (11-limit 12&amp;77, 13, 17 and 19-limit 12f&amp;77)
Vals: 27, 81, 108, 135c, 243c<br>
* [[Grackloid]]
Badness: 0.173308<br><br>
* [[Grack]]
'''11-limit'''<br>
* [[Catahelenic]]
Comma list: 126/125, 540/539, 21609/21296<br>
* [[Countriton]]
Mapping: [{{val|27 43 63 76 94}}, {{val|0 -1 -1 -1 -2}}]<br>
* [[Aufic]]
POTE generator: ~3/2 = 700.001<br>
* [[Pajarina]]
Vals: 27e, 81, 108<br>
* [[Muggloid]]
Badness: 0.078060<br><br>
* [[Gracecord]]
'''13-limit'''<br>
* [[Gaster]]
Comma list: 126/125, 144/143, 196/195, 21609/21296<br>
* [[Tuskaloosa]]
Mapping: [{{val|27 43 63 76 94 100}}, {{val|0 -1 -1 -1 -2 0}}]<br>
* [[Muscogee]]
POTE generator: ~3/2 = 700.867<br>
* [[Cohemimabila]]
Vals: 27e, 81, 108, 243ceef<br>
* [[Trimabila]]
Badness: 0.057145<br><br>
* [[Immune]]
; [[Starling temperaments #Cobalt|Cobaltous]] (27 &amp; 81)
* [[Meantritone]]
'''17-limit'''<br>
* [[Aurora]]
Comma list: 126/125, 144/143, 189/187, 196/195, 1452/1445<br>
* [[Leapweeker]]
Mapping: [{{val|27 43 63 76 94 100 111}}, {{val|0 -1 -1 -1 -2 0 -2}}]<br>
* [[Interaufo]]
POTE generator: ~3/2 = 700.397<br>
* [[Helena]]
Vals: 27eg, 81, 108g<br>
'''<font style="font-size: 1.15em">February 2022</font>'''
Badness: 0.042106<br><br>
* [[Cohendecatonic]]
'''19-limit'''<br>
* [[Nessa]]
Comma list: 126/125, 144/143, 171/170, 189/187, 196/195, 969/968<br>
* [[Splendecic]]
Mapping: [{{val|27 43 63 76 94 100 111 115}}, {{val|0 -1 -1 -1 -2 0 -2 -1}}]<br>
* [[Prodecic]]
POTE generator: ~3/2 = 700.429<br>
* [[Semimeantone]]
Vals: 27eg, 81, 108g<br>
* [[Keenic]]
Badness: 0.030415<br><br>
* [[Warrior]]
; [[Starling temperaments #Cobalt|Cobaltic]] (27 &amp; 108)
* [[Trisensory]]
'''17-limit'''<br>
* [[Bisensi]]
Comma list: 126/125, 144/143, 196/195, 221/220, 12005/11968<br>
* [[Browser]]
Mapping: [{{val|27 43 63 76 94 100 111}}, {{val|0 -1 -1 -1 -2 0 -3}}]<br>
* [[Grazer]]
POTE generator: ~3/2 = 701.595<br>
* [[Quadrasruta]]
Vals: 27eg, 81gg, 108, 135ce<br>
* [[Quadrafourths]]
Badness: 0.047163<br><br>
* [[Pajarita]]
'''19-limit'''<br>
'''<font style="font-size: 1.15em">March 2022</font>'''
Comma list: 126/125, 144/143, 196/195, 210/209, 221/220, 1088/1083<br>
* [[Catamite]]
Mapping: [{{val|27 43 63 76 94 100 111 115}}, {{val|0 -1 -1 -1 -2 0 -3 -1}}]<br>
* [[Hemikwai]]
POTE generator: ~3/2 = 701.673<br>
* [[Yarm]]
Vals: 27eg, 81gg, 108, 135ceh<br>
* [[Cohedim]]
Badness: 0.034176<br><br>
* [[October]]
; [[Starling temperaments #Cobalt|Cobaltite]] (27 &amp; 81)
* [[Dichotomic]]
<font style="font-size: 0.85em">(Name revised from ''Enneaplonoid'' on 5 January 2022)</font><br>
* [[Seminar]]
<font style="font-size: 0.85em">(Name revised from ''Cobalat'' on 6 March 2022)</font><br>
* [[Chromat]] (11-limit 99e&amp;159, 13 and 17-limit 99ef&amp;159)
'''13-limit'''<br>
* [[Catachrome]]
Comma list: 126/125, 169/168, 540/539, 975/968<br>
* [[Chromic]]
Mapping: [{{val|27 43 63 76 94 100}}, {{val|0 -1 -1 -1 -2 -1}}]<br>
* [[Trinity]]
POTE generator: ~3/2 = 699.179<br>
* [[Poseidon]]
Vals: 27e, 54bdef, 81f, 108f<br>
* [[Salacia]]
Badness: 0.052732<br><br>
* [[Gammy]]
 
* [[Tertiaseptia]]
'''<font style="font-size: 1.15em">3 January 2022</font>'''
* [[Semitert]]
; [[Schismatic family #Pontiac|Pontoid]] (171 &amp; 289)
'''<font style="font-size: 1.15em">April 2022</font>'''
'''13-limit'''<br>
* Meantone (17-limit 19eg&amp;31 and 19-limit 19egh&amp;31)
Comma list: 364/363, 441/440, 4375/4374, 32805/32768<br>
* Huygens (17 and 19-limit 12f&amp;31)
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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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>
POTE generator: ~12/11 = 102.299<br>
Vals: 8bcef, 12f<br>
Badness: 0.041707<br><br>
 
'''<font style="font-size: 1.15em">12 March 2022</font>'''
; [[Tetracot family #Octacot|October]] (41 &amp; 68)
'''11-limit'''<br>
Comma list: 245/243, 385/384, 1375/1372<br>
Mapping: [{{val|1 1 1 2 5}}, {{val|0 8 18 11 -21}}]<br>
POTE generator: ~21/20 = 88.035<br>
Vals: 27, 41, 68, 109, 150, 259<br>
Badness: 0.039643<br><br>
'''13-limit'''<br>
Comma list: 196/195, 245/243, 275/273, 385/384<br>
Mapping: [{{val|1 1 1 2 5 4}}, {{val|0 8 18 11 -21 -4}}]<br>
POTE generator: ~21/20 = 88.075<br>
Vals: 27, 41, 68, 109f<br>
Badness: 0.031136<br><br>
'''17-limit'''<br>
Comma list: 154/153, 170/169, 196/195, 245/243, 256/255<br>
Mapping: [{{val|1 1 1 2 5 4 6}}, {{val|0 8 18 11 -21 -4 -26}}]<br>
POTE generator: ~21/20 = 88.104<br>
Vals: 27, 41, 68, 109f<br>
Badness: 0.026833<br><br>
'''19-limit'''<br>
Comma list: 154/153, 170/169, 190/189, 196/195, 209/208, 245/243<br>
Mapping: [{{val|1 1 1 2 5 4 6 3}}, {{val|0 8 18 11 -21 -4 -26 17}}]<br>
POTE generator: ~19/18 = 88.113<br>
Vals: 27, 41, 68, 109f, 177ffg<br>
Badness: 0.020511<br><br>
 
'''<font style="font-size: 1.15em">16 March 2022</font>'''
; [[Dicot family #Dichotic|Dichotomic]] (3 &amp; 7)
'''11-limit'''<br>
Comma list: 22/21, 25/24, 33/32<br>
Mapping: [{{val|1 1 2 4 4}}, {{val|0 2 1 -4 -2}}]<br>
POTE generator: ~5/4 = 354.073<br>
Vals: 3, 7, 10e, 17e<br>
Badness: 0.031719<br><br>
'''13-limit'''<br>
Comma list: 22/21, 25/24, 33/32, 40/39<br>
Mapping: [{{val|1 1 2 4 4 4}}, {{val|0 2 1 -4 -2 -1}}]<br>
POTE generator: ~5/4 = 354.313<br>
Vals: 3, 7, 10e, 17e<br>
Badness: 0.022741<br><br>
 
'''<font style="font-size: 1.15em">19 March 2022</font>'''
; [[Minortonic family #Mitonic|Seminar]] (46 &amp; 296)
'''11-limit'''<br>
Comma list: 3025/3024, 4375/4374, 2100875/2097152<br>
Mapping: [{{val|2 -2 -6 12 13}}, {{val|0 17 35 -21 -20}}]<br>
POTE generator: ~10/9 = 182.457<br>
Vals: 46, 204c, 250, 296, 342<br>
Badness: 0.026808<br><br>
; [[Hemimage temperaments #Chromat|Chromat]] (99 &amp; 159)
'''11-limit'''<br>
Comma list: 441/440, 4375/4356, 10976/10935<br>
Mapping: [{{val|3 4 5 6 6}}, {{val|0 5 13 16 29}}]<br>
POTE generator: ~28/27 = 60.430<br>
Vals: 60e, 99e, 159, 258, 417d<br>
Badness: 0.050379<br><br>
'''13-limit'''<br>
Comma list: 364/363, 441/440, 625/624, 10976/10935<br>
Mapping: [{{val|3 4 5 6 6 4}}, {{val|0 5 13 16 29 47}}]<br>
POTE generator: ~28/27 = 60.428<br>
Vals: 99ef, 159, 258, 417d<br>
Badness: 0.046006<br><br>
'''17-limit'''<br>
Comma list: 364/363, 375/374, 441/440, 595/594, 3773/3757<br>
Mapping: [{{val|3 4 5 6 6 4 10}}, {{val|0 5 13 16 29 47 15}}]<br>
POTE generator: ~28/27 = 60.438<br>
Vals: 99ef, 159, 258, 417dg<br>
Badness: 0.031678<br><br>
; [[Hemimage temperaments #Chromat|Catachrome]] (60 &amp; 99)
'''13-limit'''<br>
Comma list: 325/324, 441/440, 1001/1000, 10976/10935<br>
Mapping: [{{val|3 4 5 6 6 12}}, {{val|0 5 13 16 29 -6}}]<br>
POTE generator: ~28/27 = 60.378<br>
Vals: 60e, 99e, 159<br>
Badness: 0.043844<br><br>
'''17-limit'''<br>
Comma list: 273/272, 325/324, 375/374, 441/440, 4928/4913<br>
Mapping: [{{val|3 4 5 6 6 12 10}}, {{val|0 5 13 16 29 -6 15}}]<br>
POTE generator: ~28/27 = 60.377<br>
Vals: 60e, 99e, 159<br>
Badness: 0.030218<br><br>
; [[Hemimage temperaments #Chromat|Chromic]] (60 &amp; 99)
'''13-limit'''<br>
Comma list: 196/195, 352/351, 729/728, 1875/1859<br>
Mapping: [{{val|3 4 5 6 6 9}}, {{val|0 5 13 16 29 14}}]<br>
POTE generator: ~27/26 = 60.456<br>
Vals: 60e, 99ef, 159f, 258ff<br>
Badness: 0.049857<br><br>
'''17-limit'''<br>
Comma list: 170/169, 196/195, 352/351, 375/374, 595/594<br>
Mapping: [{{val|3 4 5 6 6 9 10}}, {{val|0 5 13 16 29 14 15}}]<br>
POTE generator: ~27/26 = 60.459<br>
Vals: 60e, 99ef, 159f, 258ff<br>
Badness: 0.031043<br><br>
 
'''<font style="font-size: 1.15em">20 March 2022</font>'''
; [[Amity family #Trinity|Trinity]] (152 &amp; 159)
'''7-limit'''<br>
Comma list: 703125/702464, 1600000/1594323<br>
Mapping: [{{val|1 8 19 46}}, {{val|0 -15 -39 -101}}]<br>
POTE generator: ~168/125 = 513.178<br>
Vals: 152, 311, 463, 774<br>
Badness: 0.119453<br><br>
'''11-limit'''<br>
Comma list: 3025/3024, 4000/3993, 19712/19683<br>
Mapping: [{{val|1 8 19 46 18}}, {{val|0 -15 -39 -101 -34}}]<br>
POTE generator: ~121/90 = 513.177<br>
Vals: 152, 311, 463, 774, 1237e<br>
Badness: 0.031296<br><br>
'''13-limit'''<br>
Comma list: 625/624, 1575/1573, 2080/2079, 13720/13689<br>
Mapping: [{{val|1 8 19 46 18 64}}, {{val|0 -15 -39 -101 -34 -141}}]<br>
POTE generator: ~35/26 = 513.182<br>
Vals: 152f, 311<br>
Badness: 0.026418<br><br>
'''17-limit'''<br>
Comma list: 595/594, 625/624, 833/832, 1575/1573, 8624/8619<br>
Mapping: [{{val|1 8 19 46 18 64 -22}}, {{val|0 -15 -39 -101 -34 -141 61}}]<br>
POTE generator: ~35/26 = 513.186<br>
Vals: 152f, 159, 311, 1092cdg, 1403cdg, 1714cdeg<br>
Badness: 0.025588<br><br>
'''19-limit'''<br>
Comma list: 595/594, 625/624, 833/832, 969/968, 1216/1215, 1575/1573<br>
Mapping: [{{val|1 8 19 46 18 64 -22 53}}, {{val|0 -15 -39 -101 -34 -141 61 -114}}]<br>
POTE generator: ~35/26 = 513.185<br>
Vals: 152f, 159, 311, 1403cdgh, 1714cdegh, 2025cdefgghh, 2336bccdefgghh<br>
Badness: 0.018412<br><br>
'''23-limit'''<br>
Comma list: 595/594, 625/624, 760/759, 833/832, 875/874, 969/968, 1105/1104<br>
Mapping: [{{val|1 8 19 46 18 64 -22 53 49}}, {{val|0 -15 -39 -101 -34 -141 61 -114 -104}}]<br>
POTE generator: ~35/26 = 513.185<br>
Vals: 152f, 159, 311, 1092cdgh, 1403cdgh, 1714cdeghi<br>
Badness: 0.014343<br><br>
'''29-limit'''<br>
Comma list: 595/594, 625/624, 760/759, 784/783, 833/832, 875/874, 969/968, 1045/1044<br>
Mapping: [{{val|1 8 19 46 18 64 -22 53 49 72}}, {{val|0 -15 -39 -101 -34 -141 61 -114 -104 -157}}]<br>
POTE generator: ~35/26 = 513.186<br>
Vals: 152fj, 159, 311, 781dh, 1092cdgh, 1403cdgh<br>
Badness: 0.012038<br><br>
 
'''<font style="font-size: 1.15em">21 March 2022</font>'''
; [[Gammic family #Neptune|Poseidon]] (68 &amp; 274)
'''11-limit'''<br>
Comma list: 2401/2400, 9801/9800, 9453125/9437184<br>
Mapping: [{{val|2 2 4 5 8}}, {{val|0 40 22 21 -37}}]<br>
POTE generator: ~99/98 = 17.545<br>
Vals: 68, 206b, 274, 342<br>
Badness: 0.041727<br><br>
 
'''<font style="font-size: 1.15em">23 March 2022</font>'''
; [[Gammic family #Neptune|Salacia]] (103 &amp; 171)
'''11-limit'''<br>
Comma list: 243/242, 441/440, 9765625/9732096<br>
Mapping: [{{val|1 21 13 13 52}}, {{val|0 -40 -22 -21 -100}}]<br>
POTE generator: ~7/5 = 582.478<br>
Vals: 68e, 103, 171, 274, 719be, 993bcde, 1267bbcde<br>
Badness: 0.069721<br><br>
'''13-limit'''<br>
Comma list: 243/242, 441/440, 625/624, 2200/2197<br>
Mapping: [{{val|1 21 13 13 52 27}}, {{val|0 -40 -22 -21 -100 -48}}]<br>
POTE generator: ~7/5 = 582.477<br>
Vals: 68e, 103, 171, 274, 719be, 993bcde<br>
Badness: 0.034977<br><br>
'''17-limit'''<br>
Comma list: 243/242, 375/374, 441/440, 625/624, 2200/2197<br>
Mapping: [{{val|1 21 13 13 52 27 7}}, {{val|0 -40 -22 -21 -100 -48 -6}}]<br>
POTE generator: ~7/5 = 582.475<br>
Vals: 68e, 103, 171, 274, 445e, 719be, 1164bcdeef<br>
Badness: 0.024577<br><br>
; [[Gammic family #Gammy|Gammy]] (34 &amp; 103)
'''7-limit'''<br>
Comma list: 225/224, 94143178827/91913281250<br>
Mapping: [{{val|1 1 2 1}}, {{val|0 20 11 62}}]<br>
POTE generator: ~1990656/1953125 = 34.984<br>
Vals: 34d, 69d, 103, 240, 343b<br>
Badness: 0.230839<br><br>
'''11-limit'''<br>
Comma list: 225/224, 243/242, 215622/214375<br>
Mapping: [{{val|1 1 2 1 2}}, {{val|0 20 11 62 50}}]<br>
POTE generator: ~45/44 = 34.985<br>
Vals: 34d, 69de, 103, 240, 343be<br>
Badness: 0.065326<br><br>
'''13-limit'''<br>
Comma list: 225/224, 243/242, 351/350, 1188/1183<br>
Mapping: [{{val|1 1 2 1 2 3}}, {{val|0 20 11 62 50 24}}]<br>
POTE generator: ~45/44 = 34.988<br>
Vals: 34d, 69de, 103, 240, 343be<br>
Badness: 0.033418<br><br>
'''17-limit'''<br>
Comma list: 225/224, 243/242, 351/350, 375/374, 1188/1183<br>
Mapping: [{{val|1 1 2 1 2 3 4}}, {{val|0 20 11 62 50 24 3}}]<br>
POTE generator: ~45/44 = 34.997<br>
Vals: 34d, 69de, 103, 137, 240<br>
Badness: 0.025030<br><br>
 
'''<font style="font-size: 1.15em">24 March 2022</font>'''
; [[Breedsmic temperaments #Tertiaseptal|Tertiaseptia]] (140 &amp; 171)
'''11-limit'''<br>
Comma list: 2401/2400, 6250/6237, 65625/65536<br>
Mapping: [{{val|1 3 2 3 -4}}, {{val|0 -22 5 -3 116}}]<br>
POTE generator: ~256/245 = 77.169<br>
Vals: 140, 171, 311, 1695c, 2006bcd, 2317bcd, 2628bccde, 2939bccde, 3250bccde<br>
Badness: 0.056926<br><br>
'''13-limit'''<br>
Comma list: 625/624, 2080/2079, 2200/2197, 2401/2400<br>
Mapping: [{{val|1 3 2 3 -4 1}}, {{val|0 -22 5 -3 116 42}}]<br>
POTE generator: ~117/112 = 77.168<br>
Vals: 140, 171, 311, 1073, 1384cf, 1695cf, 2006bcdf<br>
Badness: 0.027474<br><br>
'''17-limit'''<br>
Comma list: 595/594, 625/624, 833/832, 1156/1155, 2200/2197<br>
Mapping: [{{val|1 3 2 3 -4 1 1}}, {{val|0 -22 5 -3 116 42 48}}]<br>
POTE generator: ~68/65 = 77.169<br>
Vals: 140, 171, 311<br>
Badness: 0.018773<br><br>
'''19-limit'''<br>
Comma list: 595/594, 625/624, 833/832, 1156/1155, 1216/1215, 2200/2197<br>
Mapping: [{{val|1 3 2 3 -4 1 1 11}}, {{val|0 -22 5 -3 116 42 48 -105}}]<br>
POTE generator: ~68/65 = 77.169<br>
Vals: 140, 171, 311, 1384cfgg, 1695cfgg, 2006bcdfgg<br>
Badness: 0.017653<br><br>
'''23-limit'''<br>
Comma list: 595/594, 625/624, 833/832, 875/874, 1105/1104, 1156/1155, 1216/1215<br>
Mapping: [{{val|1 3 2 3 -4 1 1 11 -3}}, {{val|0 -22 5 -3 116 42 48 -105 117}}]<br>
POTE generator: ~23/22 = 77.168<br>
Vals: 140, 311, 762g, 1073g, 1384cfgg<br>
Badness: 0.015123<br><br>
'''29-limit'''<br>
Comma list: 595/594, 625/624, 784/783, 833/832, 875/874, 1015/1014, 1105/1104, 1156/1155<br>
Mapping: [{{val|1 3 2 3 -4 1 1 11 -3 1}}, {{val|0 -22 5 -3 116 42 48 -105 117 60}}]<br>
POTE generator: ~23/22 = 77.167<br>
Vals: 140, 311, 762g, 1073g, 1384cfggj<br>
Badness: 0.012181<br><br>
'''31-limit'''<br>
Comma list: 595/594, 625/624, 714/713, 784/783, 833/832, 875/874, 900/899, 931/930, 1015/1014<br>
Mapping: [{{val|1 3 2 3 -4 1 1 11 -3 1 11}}, {{val|0 -22 5 -3 116 42 48 -105 117 60 -94}}]<br>
POTE generator: ~23/22 = 77.169<br>
Vals: 140, 171, 311<br>
Badness: 0.012311<br><br>
'''37-limit'''<br>
Comma list: 595/594, 625/624, 703/702, 714/713, 784/783, 833/832, 875/874, 900/899, 931/930, 1015/1014<br>
Mapping: [{{val|1 3 2 3 -4 1 1 11 -3 1 11 0}}, {{val|0 -22 5 -3 116 42 48 -105 117 60 -94 81}}]<br>
POTE generator: ~23/22 = 77.170<br>
Vals: 140, 171, 311<br>
Badness: 0.010949<br><br>
'''41-limit'''<br>
Comma list: 595/594, 625/624, 697/696, 703/702, 714/713, 784/783, 820/819, 833/832, 875/874, 900/899, 931/930<br>
Mapping: [{{val|1 3 2 3 -4 1 1 11 -3 1 11 0 6}}, {{val|0 -22 5 -3 116 42 48 -105 117 60 -94 81 -10}}]<br>
POTE generator: ~23/22 = 77.169<br>
Vals: 140, 171, 311<br>
Badness: 0.009825<br><br>
; [[Breedsmic temperaments #Tertiaseptal|Semitert]] (140 &amp; 202)
'''11-limit'''<br>
Comma list: 2401/2400, 9801/9800, 65625/65536<br>
Mapping: [{{val|2 6 4 6 1}}, {{val|0 -22 5 -3 46}}]<br>
POTE generator: ~256/245 = 77.193<br>
Vals: 62e, 140, 202, 342<br>
Badness: 0.025790<br><br>


== Commas which this user proposed names ==
== Commas which this user proposed names ==
Line 1,517: Line 358:


== Documents ==
== Documents ==
* [[User:Xenllium/Temperament names proposed in 2019|List of temperament names proposed in 2019]]
* [[User:Xenllium/Temperament names proposed in 2021|List of temperament names proposed in 2021]]
* [[User:Xenllium/Temperament names proposed in 2022|List of temperament names proposed in 2022]]
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]

Revision as of 02:59, 17 April 2022

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

Rank two temperaments which this user proposed names

This user proposed new names for following temperaments.

Proposed in 2019

March 2019

April 2019

Proposed in 2021

March 2021

April 2021

May 2021

June 2021

July 2021

August 2021

Septemper 2021

October 2021

November 2021

December 2021

Proposed in 2022

January 2022

February 2022

March 2022

April 2022

  • Meantone (17-limit 19eg&31 and 19-limit 19egh&31)
  • Huygens (17 and 19-limit 12f&31)

Commas which this user proposed names

This user proposed new names for following commas.

Proposed in April 2021

4 April 2021

  • hewuermera: 589824/588245, satribiru-agu
  • triwellisma: 235298/234375, tribizo-asepgu (name revised on 24 April 2021)

25 April 2021

26 April 2021

28 April 2021

Proposed in May 2021

3 May 2021

4 May 2021

6 May 2021

  • sesquiquartisma: 2460375/2458624, laquadru-atruyo
  • mitonisma: 5250987/5242880, laquadzo-agu
  • olympia: 131072/130977, salururu (name revised on 2 August 2021)

13 May 2021

19 May 2021

23 May 2021

27 May 2021

Proposed in June 2021

8 June 2021

28 June 2021

Proposed in July 2021

12 July 2021

13 July 2021

18 July 2021

Proposed in August 2021

7 August 2021

8 August 2021

13 August 2021

14 August 2021

19 August 2021

Proposed in September 2021

11 September 2021

15 September 2021

Proposed in October 2021

16 October 2021

Proposed in November 2021

5 November 2021

7 November 2021

  • lokisma: 102760448/102515625, sasazozo-atribigu

Proposed in January 2022

6 January 2022

11 January 2022

15 January 2022

22 January 2022

  • mabilisma: 1071875/1048576, latrizo-aquinyo
  • pentonisma: 281974669312/281950621875, saquinthuzogu

Proposed in February 2022

22 February 2022

25 February 2022

Proposed in March 2022

6 March 2022

19 March 2022

Documents

External links:

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