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This user proposed new names for following temperaments.
This user proposed new names for following temperaments.


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


'''<font style="font-size: 1.15em">15 March 2019</font>'''
===<font style="font-size: 1.15em">Proposed in 2021</font>===
; [[Mitonismic temperaments #Meridic|Meridic]] (258 &amp; 301)
<!-- [[User:Xenllium/Temperament names proposed in 2021|List of temperament names proposed in 2021]] -->
<font style="font-size: 0.85em">(Name revised from ''Tetracontatroid'' on 1 May 2021)</font><br>
'''<font style="font-size: 1.15em">March 2021</font>'''
'''5-limit'''<br>
* [[Trident]]
Comma: {{monzo|168 -43 -43}}<br>
* [[Trillium]]
Mapping: [{{val|43 68 100}}, {{val|0 1 -1}}]<br>
* [[Pseudotrillium]]
POTE generator: ~{{monzo|-68 18 17}} = 4.3194<br>
* [[Tritricot]]
Vals: 43, 172, 215, 258, 559, 1935, 2494, 3053, 3612<br>
* [[Decic]]
Badness: 1.061246<br><br>
* [[Cloudtone]]
'''7-limit'''<br>
'''<font style="font-size: 1.15em">April 2021</font>'''
Comma list: 5250987/5242880, 2202927104/2197265625<br>
* [[Hemipental]]
Mapping: [{{val|43 68 100 121}}, {{val|0 1 -1 -2}}]<br>
* [[Sengasec]]
POTE generator: ~703125/702464 = 4.1632<br>
* [[Qinto]]
Vals: 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd<br>
* [[Monzism]]
Badness: 0.230038<br><br>
* [[Houborizic]]
'''11-limit'''<br>
* [[Houbor]]
Comma list: 41503/41472, 172032/171875, 1240029/1239040<br>
* [[Gamity]]
Mapping: [{{val|43 68 100 121 148}}, {{val|0 1 -1 -2 5}}]<br>
* [[Familia]]
POTE generator: ~540/539 = 4.1828<br>
* [[Sabric]]
Vals: 258, 301, 559, 860<br>
* [[Quadrawell]]
Badness: 0.111149<br><br>
* [[Sfour]]
'''13-limit'''<br>
* [[Rainwell]]
Comma list: 2200/2197, 4096/4095, 21168/21125, 39366/39325<br>
* [[Sengage]]
Mapping: [{{val|43 68 100 121 148 159}}, {{val|0 1 -1 -2 5 1}}]<br>
* [[Marfifths]]
POTE generator: ~540/539 = 4.1765<br>
* [[Diatessic]]
Vals: 258, 301, 559, 860f<br>
* [[Marf]]
Badness: 0.071435<br><br>
'''<font style="font-size: 1.15em">May 2021</font>'''
'''17-limit'''<br>
* [[Garistearn]]
Comma list: 833/832, 1701/1700, 2200/2197, 4096/4095, 11016/11011<br>
* [[Decistearn]]
Mapping: [{{val|43 68 100 121 148 159 175}}, {{val|0 1 -1 -2 5 1 5}}]<br>
* [[Quadrant]]
POTE generator: ~540/539 = 4.1974<br>
* [[Quintilipyth]]
Vals: 258, 301, 559, 860f<br>
* [[Helenoid]]
Badness: 0.047292<br><br>
* [[Ponta]]
; Tetracontaheptatonic (94 &amp; 705)
* [[Pontic]]
'''7-limit'''<br>
* [[Bipont]]
Comma list: 242137805625/240518168576, 247669456896/247165842875<br>
* [[Counterbipont]]
Mapping: [{{val|47 75 107 133}}, {{val|0 -1 4 -2}}]<br>
* [[Quadrapont]]
POTE generator: ~3/2 = 701.394<br>
* [[Decimetra]]
Vals: 94, 611, 705, 799<br>
* [[Stockhausenic]]
Badness: 1.619046<br><br>
* [[Decavish]]
'''11-limit'''<br>
* Bronzoid (109 &amp; 142)
Comma list: 24057/24010, 1366875/1362944, 16808715/16777216<br>
* [[Ennealimmia]]
Mapping: [{{val|47 75 107 133 161}}, {{val|0 -1 4 -2 3}}]<br>
* [[Paralytic]]
POTE generator: ~3/2 = 701.406<br>
* [[Cotoneum]]
Vals: 94, 611, 705, 799, 893, 1692bc, 2491bbc<br>
* [[Fog]]
Badness: 0.280814<br><br>
* [[Countermiracle]]
'''13-limit'''<br>
* [[Paraklein]]
Comma list: 1575/1573, 24057/24010, 41472/41405, 916839/913952<br>
* [[Countermiraculous]]
Mapping: [{{val|47 75 107 133 161 175}}, {{val|0 -1 4 -2 3 -2}}]<br>
* [[Counterbenediction]]
POTE generator: ~3/2 = 701.368<br>
* [[Counterrevelation]]
Vals: 94, 611, 705, 799<br>
* [[Septant]]
Badness: 0.144341<br><br>
* [[Terminal]]
 
* [[Semiterm]]
'''<font style="font-size: 1.15em">24 March 2019</font>'''
* [[Sedia]]
; [[Ragismic microtemperaments #Palladium|Palladium]] (46 &amp; 414)
* [[Marthirds]]
<font style="font-size: 0.85em">(Name revised from ''Tetracontahexoid'' on 29 April 2021)</font><br>
* [[Counterkleismic]]
'''7-limit'''<br>
* [[Counterlytic]]
Comma list: 4375/4374, {{monzo|-51 8 2 12}}<br>
* [[Geb]]
Mapping: [{{val|46 73 107 129}}, {{val|0 -1 -2 1}}]<br>
* [[Hemidimfi]]
POTE generator: ~3/2 = 701.6074<br>
* [[Maquiloid]]
Vals: 46, 368, 414, 460, 874d<br>
* [[Paramity]]
Badness: 0.308505<br><br>
'''<font style="font-size: 1.15em">June 2021</font>'''
'''11-limit'''<br>
* [[Schisennealimmal]]
Comma list: 3025/3024, 9801/9800, 134775333/134217728<br>
* [[Schisennealimmic]]
Mapping: [{{val|46 73 107 129 159}}, {{val|0 -1 -2 1 1}}]<br>
* [[Decades]]
POTE generator: ~3/2 = 701.5951<br>
* [[Undecentic]]
Vals: 46, 368, 414, 460, 874de<br>
* [[Pentadecal]]
Badness: 0.073783<br><br>
* [[Quinkee]]
'''13-limit'''<br>
* [[Coditonic]]
Comma list: 3025/3024, 4225/4224, 4375/4374, 26411/26364<br>
* [[Terture]]
Mapping: [{{val|46 73 107 129 159 170}}, {{val|0 -1 -2 1 1 2}}]<br>
* [[Semivulture]]
POTE generator: ~3/2 = 701.6419<br>
* [[Eagle]]
Vals: 46, 368, 414, 460, 874de, 1334de<br>
* [[Quindromeda]]
Badness: 0.040751<br><br>
* [[Quintakwai]]
'''17-limit'''<br>
* [[Quintagar]]
Comma list: 833/832, 1089/1088, 1225/1224, 1701/1700, 4225/4224<br>
* [[Quintoneum]]
Mapping: [{{val|46 73 107 129 159 170 188}}, {{val|0 -1 -2 1 1 2 0}}]<br>
* [[Quinsandra]]
POTE generator: ~3/2 = 701.6425<br>
* [[Quinsandric]]
Vals: 46, 368, 414, 460, 874de, 1334deg<br>
* [[Quinsandro]]
Badness: 0.022441<br><br>
* [[Semiquindromeda]]
 
* [[Quintoneoid]]
===<font style="font-size: 1.15em">Proposed in April 2019</font>===
'''<font style="font-size: 1.15em">July 2021</font>'''
'''<font style="font-size: 1.15em">1 April 2019</font>'''
* [[Mineral]]
; [[Lokismic temperaments #Septisemitonic|Septisemitonic]] (128 &amp; 270)
* [[Ore]]
'''7-limit'''<br>
* [[Quintaleap]]
Comma list: 102760448/102515625, 200120949/200000000<br>
* [[Quintupole]]
Mapping: [{{val|2 5 0 -1}}, {{val|0 -13 33 47}}]<br>
* [[Quinticosiennic]]
POTE generator: ~21/20 = 84.446<br>
* [[Quintapole]]
Vals: 128, 142, 270<br>
* [[Hemiseptisix]]
Badness: 0.166111<br><br>
'''<font style="font-size: 1.15em">August 2021</font>'''
'''11-limit'''<br>
* [[Goldmine]]
Comma list: 3025/3024, 131072/130977, 422576/421875<br>
* [[Gamelapyth]]
Mapping: [{{val|2 5 0 -1 11}}, {{val|0 -13 33 47 -29}}]<br>
* [[Mermapyth]]
POTE generator: ~21/20 = 84.443<br>
* [[Undesemi]]
Vals: 128, 142, 270<br>
* [[Decipentic]]
Badness: 0.058273<br><br>
* [[Quasijerome]]
'''13-limit'''<br>
* [[Septendesemi]]
Comma list: 2080/2079, 3025/3024, 4096/4095, 405769/405000<br>
* [[Witch]]
Mapping: [{{val|2 5 0 -1 11 15}}, {{val|0 -13 33 47 -29 -54}}]<br>
* [[Semiwitch]]
POTE generator: ~21/20 = 84.440<br>
* [[Hitch]]
Vals: 128, 142, 270<br>
* [[Hitcher]]
Badness: 0.037612<br><br>
* [[Quinwell]]
 
* [[Septiquarschis]]
'''<font style="font-size: 1.15em">21 April 2019</font>'''
* [[Quinbetter]]
; [[Wizmic microtemperaments #Tertiathirds|Tertiathirds]] (121 &amp; 270)
* [[Ultramarine]]
'''7-limit'''<br>
* [[Mowglic]]
Comma list: 420175/419904, 29360128/29296875<br>
'''<font style="font-size: 1.15em">Septemper 2021</font>'''
Mapping: [{{val|1 -4 2 -6}}, {{val|0 52 3 82}}]<br>
* [[Terminator]]
POTE generator: ~3375/3136 = 128.888<br>
* [[Quintaschis]]
Vals: 121, 149, 270, 2309c, 2579c, 2849c, 3119bc, 3389bc, 3659bcc, 3929bcc, 4199bcc<br>
* [[Quintahelenic]]
Badness: 0.093005<br><br>
* [[Quintahelenoid]]
'''11-limit'''<br>
* [[Semihemiwür]]
Comma list: 3025/3024, 5632/5625, 117649/117612<br>
* [[Semihemiwürat]]
Mapping: [{{val|1 -4 2 -6 -9}}, {{val|0 52 3 82 116}}]<br>
* [[Beetle]]
POTE generator: ~264/245 = 128.890<br>
* [[Subsedia]]
Vals: 121, 149, 270, 2551bc, 2821bc, 3091bc, 3361bc, 3631bbcc, 3901bbccd, 4171bbccd, 4441bbccd, 4711bbccd<br>
* [[Quinkwai]]
Badness: 0.033322<br><br>
* [[Quintakwoid]]
'''13-limit'''<br>
* [[Passionate]]
Comma list: 676/675, 1716/1715, 3025/3024, 4225/4224<br>
* [[Pash]]
Mapping: [{{val|1 -4 2 -6 -9 -5}}, {{val|0 52 3 82 116 81}}]<br>
* [[Majvamic]]
POTE generator: ~14/13 = 128.890<br>
* [[Majvamoid]]
Vals: 121, 149, 270, 1741bc, 2011bcf, 2281bcf, 2551bcf, 2821bcf, 3091bcff, 3361bcff<br>
* [[Narayana]]
Badness: 0.019494<br><br>
* [[Turkey]]
'''17-limit'''<br>
'''<font style="font-size: 1.15em">October 2021</font>'''
Comma list: 676/675, 715/714, 936/935, 1225/1224, 4225/4224<br>
* [[Lunennealimmal]]
Mapping: [{{val|1 -4 2 -6 -9 -5 -3}}, {{val|0 52 3 82 116 81 66}}]<br>
* [[Hexadecoid]]
POTE generator: ~14/13 = 128.891<br>
* [[Undetrita]]
Vals: 121, 149, 270<br>
* [[Rubidium]]
Badness: 0.019107<br><br>
* [[Terbium]]
'''19-limit'''<br>
* [[Parakleischis]]
Comma list: 676/675, 715/714, 936/935, 1225/1224, 1540/1539, 2128/2125<br>
* [[Triacontaheptoid]]
Mapping: [{{val|1 -4 2 -6 -9 -5 -3 5}}, {{val|0 52 3 82 116 81 66 -7}}]<br>
* [[Octogintic]]
POTE generator: ~14/13 = 128.890<br>
* [[Senator]]
Vals: 121, 149, 270<br>
* [[Hemivalentine]]
Badness: 0.015621<br><br>
* [[Hemivalentino]]
 
* [[Hemivalentoid]]
'''<font style="font-size: 1.15em">22 April 2019</font>'''
* [[Undetritoid]]
; [[Schismatic family #Tertiaschis|Tertiaschis]] (94 &amp; 159)
* [[Biquartonic]]
'''7-limit'''<br>
* [[Quindro]]
Comma list: 32805/32768, 1071875/1062882<br>
'''<font style="font-size: 1.15em">November 2021</font>'''
Mapping: [{{val|1 2 -1 10}}, {{val|0 -3 24 -52}}]<br>
* [[Tridecatonic]]
POTE generator: ~192/175 = 166.019<br>
* [[Trideci]]
Vals: 65, 94, 159, 253, 412cd<br>
* [[Decimaleap]]
Badness: 0.211859<br><br>
* [[Hemiquindromeda]]
'''11-limit'''<br>
* [[Triboh]]
Comma list: 385/384, 4000/3993, 19712/19683<br>
'''<font style="font-size: 1.15em">December 2021</font>'''
Mapping: [{{val|1 2 -1 10 0}}, {{val|0 -3 24 -52 25}}]<br>
* [[Hemimabila]]
POTE generator: ~11/10 = 166.017<br>
* [[Sedecic]]
Vals: 65, 94, 159, 253, 412cd<br>
* [[Hyperkleismic]]
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">13 March 2021</font>'''
; [[Tricot family #Trident|Trident]] (53 &amp; 229)
'''7-limit'''<br>
Comma list: 6144/6125, 14348907/14336000<br>
Mapping: [{{val|1 0 -13 25}}, {{val|0 3 29 -42}}]<br>
POTE generator: ~4096/2835 = 634.048<br>
Vals: 53, 176, 229, 282, 511<br>
Badness: 0.101694<br><br>
'''11-limit'''<br>
Comma list: 3388/3375, 6144/6125, 8019/8000<br>
Mapping: [{{val|1 0 -13 25 -33}}, {{val|0 3 29 -42 69}}]<br>
POTE generator: ~231/160 = 634.067<br>
Vals: 53, 176, 229<br>
Badness: 0.074272<br><br>
'''13-limit'''<br>
Comma list: 351/350, 2080/2079, 2197/2187, 3146/3125<br>
Mapping: [{{val|1 0 -13 25 -33 0}}, {{val|0 3 29 -42 69 7}}]<br>
POTE generator: ~13/9 = 634.065<br>
Vals: 53, 176, 229<br>
Badness: 0.046593<br><br>
; [[Tricot family #Trillium|Trillium]] (53 &amp; 441)
'''7-limit'''<br>
Comma list: 4375/4374, 1099511627776/1098337086315<br>
Mapping: [{{val|1 0 -13 53}}, {{val|0 3 29 -95}}]<br>
POTE generator: ~23625/16384 = 634.012<br>
Vals: 53, 441, 494, 935, 1376, 3193, 4569<br>
Badness: 0.030852<br><br>
'''11-limit'''<br>
Comma list: 4375/4374, 131072/130977, 759375/758912<br>
Mapping: [{{val|1 0 -13 53 -89}}, {{val|0 3 29 -95 175}}]<br>
POTE generator: ~3888/2695 = 634.009<br>
Vals: 53, 441, 494, 935, 1429<br>
Badness: 0.046758<br><br>
'''13-limit'''<br>
Comma list: 2080/2079, 4096/4095, 4375/4374, 78125/78078<br>
Mapping: [{{val|1 0 -13 53 -89 -28}}, {{val|0 3 29 -95 175 60}}]<br>
POTE generator: ~75/52 = 634.010<br>
Vals: 53, 441, 494, 935, 1429<br>
Badness: 0.019393<br><br>
; [[Tricot family #Trillium|Pseudotrillium]] (53 &amp; 388)
'''11-limit'''<br>
Comma list: 4375/4374, 5632/5625, 4108797/4096000<br>
Mapping: [{{val|1 0 -13 53 -61}}, {{val|0 3 29 -95 122}}]<br>
POTE generator: ~231/160 = 634.019<br>
Vals: 53, 335, 388<br>
Badness: 0.111931<br><br>
'''13-limit'''<br>
Comma list: 847/845, 1001/1000, 4096/4095, 4375/4374<br>
Mapping: [{{val|1 0 -13 53 -61 -28}}, {{val|0 3 29 -95 122 60}}]<br>
POTE generator: ~75/52 = 634.018<br>
Vals: 53, 335, 388<br>
Badness: 0.054837<br><br>
; [[Tricot family #Tritricot|Tritricot]] (159 &amp; 282)
'''7-limit'''<br>
Comma list: 250047/250000, 11785390260224/11767896353375<br>
Mapping: [{{val|3 6 19 30}}, {{val|0 -3 -29 -52}}]<br>
POTE generator: ~100352/91125 = 165.984<br>
Vals: 159, 282, 441, 2487, 2928, 3369<br>
Badness: 0.086081<br><br>
'''11-limit'''<br>
Comma list: 4000/3993, 166698/166375, 200704/200475<br>
Mapping: [{{val|3 6 19 30 22}}, {{val|0 -3 -29 -52 -28}}]<br>
POTE generator: ~11/10 = 165.984<br>
Vals: 159, 282, 441<br>
Badness: 0.074002<br><br>
'''13-limit'''<br>
Comma list: 1575/1573, 2080/2079, 34398/34375, 43904/43875<br>
Mapping: [{{val|3 6 19 30 22 36}}, {{val|0 -3 -29 -52 -28 -60}}]<br>
POTE generator: ~11/10 = 165.984<br>
Vals: 159, 282, 441<br>
Badness: 0.035641<br><br>
'''17-limit'''<br>
Comma list: 936/935, 1575/1573, 1701/1700, 2025/2023, 8624/8619<br>
Mapping: [{{val|3 6 19 30 22 36 16}}, {{val|0 -3 -29 -52 -28 -60 -9}}]<br>
POTE generator: ~11/10 = 165.980<br>
Vals: 159, 282, 441<br>
Badness: 0.025972<br><br>
 
'''<font style="font-size: 1.15em">21 March 2021</font>'''
; [[Cloudy clan #Decic|Decic]] (10 &amp; 50)
'''7-limit'''<br>
Comma list: 225/224, 16807/16384<br>
Mapping: [{{val|10 0 39 28}}, {{val|0 1 -1 0}}]<br>
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>'''
; [[Meantone family #Cloudtone|Cloudtone]] (5 &amp; 50)
'''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">3 April 2021</font>'''
; [[Pental family #Pental|Pentacloud]] (5 &amp; 60)
'''7-limit'''<br>
Comma list: 245/243, 16807/16384<br>
Mapping: [{{val|5 0 -28 14}}, {{val|0 1 5 0}}]<br>
POTE generator: ~3/2 = 700.548<br>
Vals: 5, 60, 65, 125d, 185cdd<br>
Badness: 0.120942<br><br>
'''11-limit'''<br>
Comma list: 245/243, 385/384, 3087/3025<br>
Mapping: [{{val|5 0 -28 14 49}}, {{val|0 1 5 0 -4}}]<br>
POTE generator: ~3/2 = 701.377<br>
Vals: 5, 60, 65<br>
Badness: 0.093248<br><br>
'''13-limit'''<br>
Comma list: 105/104, 144/143, 245/243, 3087/3025<br>
Mapping: [{{val|5 0 -28 14 49 -29}}, {{val|0 1 5 0 -4 6}}]<br>
POTE generator: ~3/2 = 700.996<br>
Vals: 5, 60, 65, 125de, 190ddef<br>
Badness: 0.067549<br><br>
; [[Pental family #Hemipental|Hemipental]] (125 &amp; 130)
'''7-limit'''<br>
Comma list: 19683/19600, 589824/588245<br>
Mapping: [{{val|5 8 12 14}}, {{val|0 -2 -10 1}}]<br>
POTE generator: ~8/7 = 230.654<br>
Vals: 5, 125, 130, 255, 385<br>
Badness: 0.104163<br><br>
'''11-limit'''<br>
Comma list: 540/539, 8019/8000, 180224/180075<br>
Mapping: [{{val|5 8 12 14 18}}, {{val|0 -2 -10 1 -18}}]<br>
POTE generator: ~8/7 = 230.634<br>
Vals: 5e, 125, 130, 255, 385, 640, 1025b<br>
Badness: 0.047624<br><br>
'''13-limit'''<br>
Comma list: 540/539, 1575/1573, 4096/4095, 8019/8000<br>
Mapping: [{{val|5 8 12 14 18 18}}, {{val|0 -2 -10 1 -18 13}}]<br>
POTE generator: ~8/7 = 230.668<br>
Vals: 5ef, 125, 130, 255, 385, 515, 900ef<br>
Badness: 0.041043<br><br>
; [[Qintosec family #Sengasec|Sengasec]] (10 &amp; 55)
'''7-limit'''<br>
Comma list: 686/675, 16807/16384<br>
Mapping: [{{val|5 7 13 14}}, {{val|0 2 -3 0}}]<br>
POTE generator: ~16/15 = 111.113<br>
Vals: 10, 55, 65, 140dd, 205ddd, 270ddd<br>
Badness: 0.156259<br><br>
'''11-limit'''<br>
Comma list: 243/242, 385/384, 686/675<br>
Mapping: [{{val|5 7 13 14 15}}, {{val|0 2 -3 0 5}}]<br>
POTE generator: ~16/15 = 110.659<br>
Vals: 10, 55, 65<br>
Badness: 0.081607<br><br>
'''13-limit'''<br>
Comma list: 105/104, 144/143, 243/242, 686/675<br>
Mapping: [{{val|5 7 13 14 15 19}}, {{val|0 2 -3 0 5 -1}}]<br>
POTE generator: ~16/15 = 110.910<br>
Vals: 10, 55, 65<br>
Badness: 0.056390<br><br>
 
'''<font style="font-size: 1.15em">4 April 2021</font>'''
; [[Qintosec family #Qintosec|Qinto]] (10 &amp; 75)
'''11-limit'''<br>
Comma list: 225/224, 385/384, 332750/321489<br>
Mapping: [{{val|5 7 13 15 14}}, {{val|0 2 -3 -2 7}}]<br>
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>'''
; [[Ragismic microtemperaments #Monzism|Monzism]] (53 &amp; 559)
'''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>'''
; [[Amity family #Houborizic|Houborizic]] (53 &amp; 113)
'''7-limit'''<br>
Comma list: 225/224, 1250000/1240029<br>
Mapping: [{{val|1 3 6 13}}, {{val|0 -5 -13 -36}}]<br>
POTE generator: ~243/200 = 339.763<br>
Vals: 7d, 46d, 53, 113, 166<br>
Badness: 0.066638<br><br>
'''11-limit'''<br>
Comma list: 225/224, 385/384, 1250000/1240029<br>
Mapping: [{{val|1 3 6 13 -9}}, {{val|0 -5 -13 -36 44}}]<br>
POTE generator: ~243/200 = 339.763<br>
Vals: 53, 113, 166<br>
Badness: 0.067891<br><br>
'''13-limit'''<br>
Comma list: 225/224, 325/324, 385/384, 2200/2197<br>
Mapping: [{{val|1 3 6 13 -9 2}}, {{val|0 -5 -13 -36 44 6}}]<br>
POTE generator: ~39/32 = 339.764<br>
Vals: 53, 113, 166<br>
Badness: 0.032996<br><br>
; [[Amity family #Houborizic|Houbor]] (7d &amp; 53)
'''11-limit'''<br>
Comma list: 121/120, 225/224, 2200/2187<br>
Mapping: [{{val|1 3 6 13 6}}, {{val|0 -5 -13 -36 -9}}]<br>
POTE generator: ~11/9 = 339.814<br>
Vals: 7d, 46d, 53, 60e, 113e<br>
Badness: 0.045232<br><br>
'''13-limit'''<br>
Comma list: 121/120, 225/224, 275/273, 325/324<br>
Mapping: [{{val|1 3 6 13 6 2}}, {{val|0 -5 -13 -36 -9 6}}]<br>
POTE generator: ~11/9 = 339.784<br>
Vals: 7d, 46d, 53, 60e, 113e<br>
Badness: 0.031331<br><br>
; [[Amity family #Gamity|Gamity]] (46 &amp; 113)
'''7-limit'''<br>
Comma list: 1029/1024, 1071875/1062882<br>
Mapping: [{{val|1 -2 -7 4}}, {{val|0 15 39 -5}}]<br>
POTE generator: ~189/160 = 286.787<br>
Vals: 46, 113, 159<br>
Badness: 0.125733<br><br>
'''11-limit'''<br>
Comma list: 385/384, 441/440, 1071875/1062882<br>
Mapping: [{{val|1 -2 -7 4 8}}, {{val|0 15 39 -5 -19}}]<br>
POTE generator: ~33/28 = 286.797<br>
Vals: 46, 113, 159<br>
Badness: 0.051111<br><br>
'''13-limit'''<br>
Comma list: 325/324, 364/363, 385/384, 10985/10976<br>
Mapping: [{{val|1 -2 -7 4 8 8}}, {{val|0 15 39 -5 -19 -18}}]<br>
POTE generator: ~13/11 = 286.789<br>
Vals: 46, 113, 159<br>
Badness: 0.030297<br><br>
'''17-limit'''<br>
Comma list: 273/272, 325/324, 364/363, 385/384, 3773/3757<br>
Mapping: [{{val|1 -2 -7 4 8 8 6}}, {{val|0 15 39 -5 -19 -18 -8}}]<br>
POTE generator: ~13/11 = 286.795<br>
Vals: 46, 113, 159<br>
Badness: 0.022036<br><br>
 
'''<font style="font-size: 1.15em">19 April 2021</font>'''
; [[Amity family #Familia|Familia]] (113 &amp; 152)
'''7-limit'''<br>
Comma list: 16875/16807, 1600000/1594323<br>
Mapping: [{{val|1 8 19 20}}, {{val|0 -25 -65 -67}}]<br>
POTE generator: ~11907/10000 = 307.941<br>
Vals: 39d, 74cd, 113, 152, 265, 417, 986d<br>
Badness: 0.144551<br><br>
'''11-limit'''<br>
Comma list: 540/539, 1375/1372, 1600000/1594323<br>
Mapping: [{{val|1 8 19 20 5}}, {{val|0 -25 -65 -67 -6}}]<br>
POTE generator: ~3200/2673 = 307.906<br>
Vals: 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>'''
; [[Semicomma family #Sabric|Sabric]] (53 &amp; 190)
'''7-limit'''<br>
Comma list: 4375/4374, 2109375/2097152<br>
Mapping: [{{val|1 0 3 -11}}, {{val|0 7 -3 61}}]<br>
POTE generator: ~75/64 = 271.607<br>
Vals: 53, 137d, 190, 243<br>
Badness: 0.088355<br><br>
; [[Semicomma family #Quadrawell|Quadrawell]] (31 &amp; 212)
'''7-limit'''<br>
Comma list: 2401/2400, 2109375/2097152<br>
Mapping: [{{val|1 7 0 3}}, {{val|0 -28 12 -1}}]<br>
POTE generator: ~8/7 = 232.094<br>
Vals: 31, 119, 150, 181, 212, 243, 698cd, 941cd<br>
Badness: 0.075754<br><br>
'''11-limit'''<br>
Comma list: 385/384, 1375/1372, 14641/14580<br>
Mapping: [{{val|1 7 0 3 11}}, {{val|0 -28 12 -1 -39}}]<br>
POTE generator: ~8/7 = 232.083<br>
Vals: 31, 119, 150, 181, 212, 455ee, 667cdee<br>
Badness: 0.036493<br><br>
; [[Ragismic microtemperaments #Sfourth|Sfour]] (45 &amp; 46)
'''11-limit'''<br>
Comma list: 385/384, 2401/2376, 4375/4374<br>
Mapping: [{{val|1 2 3 3 3}}, {{val|0 -19 -31 -9 21}}]<br>
POTE generator: ~49/48 = 26.246<br>
Vals: 45, 46, 91, 137d<br>
Badness: 0.076567<br><br>
'''13-limit'''<br>
Comma list: 196/195, 364/363, 385/384, 4375/4374<br>
Mapping: [{{val|1 2 3 3 3 3}}, {{val|0 -19 -31 -9 21 32}}]<br>
POTE generator: ~49/48 = 26.239<br>
Vals: 45, 46, 91, 137d<br>
Badness: 0.051893<br><br>
 
'''<font style="font-size: 1.15em">26 April 2021</font>'''
; [[Semicomma family #Rainwell|Rainwell]] (31 &amp; 265)
'''7-limit'''<br>
Comma list: 16875/16807, 2100875/2097152<br>
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>'''
; [[Hemimean clan #Sengagen|Sengage]] (49f&amp;50)
'''13-limit'''<br>
Comma list: 144/143, 196/195, 364/363, 625/624<br>
Mapping: [{{val|1 1 2 2 3 3}}, {{val|0 29 16 40 23 35}}]<br>
POTE generator: ~99/98 = 24.234<br>
Vals: 49f, 50, 99ef<br>
Badness: 0.037416<br><br>
 
'''<font style="font-size: 1.15em">30 April 2021</font>'''
; [[Kleismic family #Marfifths|Marfifths]] (19 &amp; 140)
'''7-limit'''<br>
Comma list: 10976/10935, 15625/15552<br>
Mapping: [{{val|1 -6 -4 -17}}, {{val|0 18 15 47}}]<br>
POTE generator: ~75/56 = 505.705<br>
Vals: 19, 121, 140, 579, 719, 859bcd, 999bcd, 1858bbccdd<br>
Badness: 0.063448<br><br>
'''11-limit'''<br>
Comma list: 385/384, 6250/6237, 10976/10935<br>
Mapping: [{{val|1 -6 -4 -17 22}}, {{val|0 18 15 47 -44}}]<br>
POTE generator: ~75/56 = 505.684<br>
Vals: 19, 140, 159, 299<br>
Badness: 0.058902<br><br>
'''13-limit'''<br>
Comma list: 325/324, 385/384, 625/624, 10976/10935<br>
Mapping: [{{val|1 -6 -4 -17 22 -14}}, {{val|0 18 15 47 -44 42}}]<br>
POTE generator: ~75/56 = 505.686<br>
Vals: 19, 140, 159, 299<br>
Badness: 0.030082<br><br>
; [[Kleismic family #Marfifths|Diatessic]] (121 &amp; 140)
'''11-limit'''<br>
Comma list: 1375/1372, 2200/2187, 5632/5625<br>
Mapping: [{{val|1 -6 -4 -17 -37}}, {{val|0 18 15 47 96}}]<br>
POTE generator: ~75/56 = 505.740<br>
Vals: 19e, 121, 140, 261, 401, 662bd<br>
Badness: 0.061172<br><br>
'''13-limit'''<br>
Comma list: 325/324, 352/351, 625/624, 1375/1372<br>
Mapping: [{{val|1 -6 -4 -17 -37 -14}}, {{val|0 18 15 47 96 42}}]<br>
POTE generator: ~75/56 = 505.740<br>
Vals: 19e, 121, 140, 261, 401, 662bd<br>
Badness: 0.028671<br><br>
; [[Kleismic family #Marfifths|Marf]] (19 &amp; 121)
'''11-limit'''<br>
Comma list: 540/539, 896/891, 15625/15552<br>
Mapping: [{{val|1 -6 -4 -17 14}}, {{val|0 18 15 47 -25}}]<br>
POTE generator: ~75/56 = 505.769<br>
Vals: 19, 102d, 121<br>
Badness: 0.075112<br><br>
'''13-limit'''<br>
Comma list: 325/324, 540/539, 625/624, 896/891<br>
Mapping: [{{val|1 -6 -4 -17 14 -14}}, {{val|0 18 15 47 -25 42}}]<br>
POTE generator: ~75/56 = 505.771<br>
Vals: 19, 121<br>
Badness: 0.038317<br><br>
 
===<font style="font-size: 1.15em">Proposed in May 2021</font>===
'''<font style="font-size: 1.15em">1 May 2021</font>'''
; [[Stearnsmic clan #Garistearn|Garistearn]] (94 &amp; 282)
'''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 &amp; 130)
'''7-limit'''<br>
Comma list: 3136/3125, 118098/117649<br>
Mapping: [{{val|10 17 24 30}}, {{val|0 -3 -2 -5}}]<br>
POTE generator: ~6/5 = 313.960<br>
Vals: 50, 80, 130, 470cd, 600cd, 730cd, 860ccd<br>
Badness: 0.095543<br><br>
'''11-limit'''<br>
Comma list: 540/539, 3136/3125, 4000/3993<br>
Mapping: [{{val|10 17 24 30 35}}, {{val|0 -3 -2 -5 -1}}]<br>
POTE generator: ~6/5 = 314.079<br>
Vals: 50, 80, 130, 210e, 340ce<br>
Badness: 0.038556<br><br>
'''13-limit'''<br>
Comma list: 351/350, 364/363, 540/539, 3136/3125<br>
Mapping: [{{val|10 17 24 30 35 37}}, {{val|0 -3 -2 -5 -1 0}}]<br>
POTE generator: ~6/5 = 313.947<br>
Vals: 50, 80, 130<br>
Badness: 0.026895<br><br>
'''17-limit'''<br>
Comma list: 221/220, 289/288, 351/350, 540/539, 1632/1625<br>
Mapping: [{{val|10 17 24 30 35 37 42}}, {{val|0 -3 -2 -5 -1 0 -3}}]<br>
POTE generator: ~6/5 = 313.931<br>
Vals: 50, 80, 130<br>
Badness: 0.024234<br><br>
'''19-limit'''<br>
Comma list: 221/220, 289/288, 351/350, 361/360, 456/455, 476/475<br>
Mapping: [{{val|10 17 24 30 35 37 42 44}}, {{val|0 -3 -2 -5 -1 0 -3 -4}}]<br>
POTE generator: ~6/5 = 313.949<br>
Vals: 50, 80, 130<br>
Badness: 0.018232<br><br>
; [[Schismatic family #Quadrant|Quadrant]] (12 &amp; 224)
'''7-limit'''<br>
Comma list: 32805/32768, 390625/388962<br>
Mapping: [{{val|4 6 12 17}}, {{val|0 1 -8 -17}}]<br>
POTE generator: ~28/25 = 198.177<br>
Vals: 12, 200, 212, 224, 436, 660, 1096c<br>
Badness: 0.110242<br><br>
'''11-limit'''<br>
Comma list: 1375/1372, 6250/6237, 32805/32768<br>
Mapping: [{{val|4 6 12 17 23}}, {{val|0 1 -8 -17 -27}}]<br>
POTE generator: ~28/25 = 198.181<br>
Vals: 12, 212, 224, 436, 660<br>
Badness: 0.045738<br><br>
'''13-limit'''<br>
Comma list: 625/624, 1375/1372, 2080/2079, 10648/10647<br>
Mapping: [{{val|4 6 12 17 23 26}}, {{val|0 1 -8 -17 -27 -33}}]<br>
POTE generator: ~28/25 = 198.184<br>
Vals: 212, 224, 436, 660<br>
Badness: 0.027243<br><br>
; [[Schismatic family #Quintilipyth|Quintilipyth]] (12 &amp; 253)
<font style="font-size: 0.85em">(Name revised from ''Quintilischis'' on 6 September 2021)</font><br>
'''7-limit'''<br>
Comma list: 32805/32768, 9765625/9680832<br>
Mapping: [{{val|1 2 -1 -4}}, {{val|0 -5 40 82}}]<br>
POTE generator: ~625/588 = 99.625<br>
Vals: 12, 253, 265<br>
Badness: 0.253966<br><br>
'''11-limit'''<br>
Comma list: 1375/1372, 4375/4356, 32805/32768<br>
Mapping: [{{val|1 2 -1 -4 -7}}, {{val|0 -5 40 82 126}}]<br>
POTE generator: ~35/33 = 99.616<br>
Vals: 12, 253, 265, 518c, 783cc<br>
Badness: 0.113044<br><br>
'''13-limit'''<br>
Comma list: 1375/1372, 2080/2079, 4375/4356, 10648/10647<br>
Mapping: [{{val|1 2 -1 -4 -7 -9}}, {{val|0 -5 40 82 126 153}}]<br>
POTE generator: ~35/33 = 99.612<br>
Vals: 12f, 253, 518c, 771cc<br>
Badness: 0.069127<br><br>
'''17-limit'''<br>
Comma list: 375/374, 595/594, 833/832, 1375/1372, 8624/8619<br>
Mapping: [{{val|1 2 -1 -4 -7 -9 5}}, {{val|0 -5 40 82 126 153 -11}}]<br>
POTE generator: ~18/17 = 99.612<br>
Vals: 12f, 253, 518c, 771cc<br>
Badness: 0.045992<br><br>
'''19-limit'''<br>
Comma list: 375/374, 400/399, 495/494, 595/594, 1375/1372, 3978/3971<br>
Mapping: [{{val|1 2 -1 -4 -7 -9 5 4}}, {{val|0 -5 40 82 126 153 -11 3}}]<br>
POTE generator: ~18/17 = 99.615<br>
Vals: 12f, 253, 265, 518ch<br>
Badness: 0.038155<br><br>
 
'''<font style="font-size: 1.15em">2 May 2021</font>'''
; [[Schismatic family #Pontiac|Helenoid]] (53 &amp; 118)
'''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 &amp; 224)
'''11-limit'''<br>
Comma list: 540/539, 4375/4374, 32805/32768<br>
Mapping: [{{val|1 0 15 -59 135}}, {{val|0 1 -8 39 -83}}]<br>
POTE generator: ~3/2 = 701.783<br>
Vals: 53, 171, 224, 1291cde, 1515cde, 1739cddee, 1963cddee, 2187ccddee<br>
Badness: 0.048692<br><br>
'''13-limit'''<br>
Comma list: 540/539, 625/624, 729/728, 2200/2197<br>
Mapping: [{{val|1 0 15 -59 135 56}}, {{val|0 1 -8 39 -83 -33}}]<br>
POTE generator: ~3/2 = 701.784<br>
Vals: 53, 171, 224<br>
Badness: 0.023616<br><br>
'''17-limit'''<br>
Comma list: 375/374, 540/539, 625/624, 729/728, 2200/2197<br>
Mapping: [{{val|1 0 15 -59 135 56 -91}}, {{val|0 1 -8 39 -83 -33 60}}]<br>
POTE generator: ~3/2 = 701.777<br>
Vals: 53, 171, 224, 395e, 619eg<br>
Badness: 0.022853<br><br>
; [[Schismatic family #Pontiac|Pontic]] (118 &amp; 171)
'''11-limit'''<br>
Comma list: 441/440, 4375/4374, 32805/32768<br>
Mapping: [{{val|1 0 15 -59 -136}}, {{val|0 1 -8 39 88}}]<br>
POTE generator: ~3/2 = 701.724<br>
Vals: 53e, 118, 289, 407d, 696d<br>
Badness: 0.049573<br><br>
'''13-limit'''<br>
Comma list: 441/440, 625/624, 729/728, 3584/3575<br>
Mapping: [{{val|1 0 15 -59 -136 56}}, {{val|0 1 -8 39 88 -33}}]<br>
POTE generator: ~3/2 = 701.738<br>
Vals: 53e, 118, 171, 289f, 460ef<br>
Badness: 0.045308<br><br>
'''17-limit'''<br>
Comma list: 441/440, 595/594, 625/624, 729/728, 2880/2873<br>
Mapping: [{{val|1 0 15 -59 -136 56 -91}}, {{val|0 1 -8 39 88 -33 60}}]<br>
POTE generator: ~3/2 = 701.740<br>
Vals: 53e, 118, 171, 289f, 460ef<br>
Badness: 0.029618<br><br>
; [[Schismatic family #Pontiac|Bipont]] (118 &amp; 224)
'''11-limit'''<br>
Comma list: 3025/3024, 4375/4374, 32805/32768<br>
Mapping: [{{val|2 3 6 -1 2}}, {{val|0 1 -8 39 29}}]<br>
POTE generator: ~3/2 = 701.757<br>
Vals: 106, 118, 224, 342, 1592c, 1934ce, 2276cde, 2618cde, 2960cde<br>
Badness: 0.014629<br><br>
'''13-limit'''<br>
Comma list: 625/624, 729/728, 1575/1573, 4096/4095<br>
Mapping: [{{val|2 3 6 -1 2 13}}, {{val|0 1 -8 39 29 -33}}]<br>
POTE generator: ~3/2 = 701.773<br>
Vals: 106, 118, 224, 566f, 790f<br>
Badness: 0.030172<br><br>
'''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 &amp; 566)
'''13-limit'''<br>
Comma list: 1716/1715, 2080/2079, 3025/3024, 32805/32768<br>
Mapping: [{{val|2 3 6 -1 2 -6}}, {{val|0 1 -8 39 29 79}}]<br>
POTE generator: ~3/2 = 701.769<br>
Vals: 106f, 118f, 224, 342f, 566, 1356cf, 1922cff<br>
Badness: 0.025547<br><br>
'''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 &amp; 460)
'''13-limit'''<br>
Comma list: 3025/3024, 4225/4224, 4375/4374, 32805/32768<br>
Mapping: [{{val|4 6 12 -2 4 7}}, {{val|0 1 -8 39 29 23}}]<br>
POTE generator: ~3/2 = 701.756<br>
Vals: 224, 460, 684, 2276cde, 2960cde, 3644bccddee<br>
Badness: 0.021025<br><br>
 
'''<font style="font-size: 1.15em">3 May 2021</font>'''
; [[Metric microtemperaments #Decimetra|Decimetra]] (50 &amp; 140)
'''7-limit'''<br>
Comma list: 703125/702464, 823543/820125<br>
Mapping: [{{val|10 15 23 27}}, {{val|0 4 1 5}}]<br>
POTE generator: ~5/4 = 385.495<br>
Vals: 50, 90, 140, 330, 470, 800cd<br>
Badness: 0.121818<br><br>
'''11-limit'''<br>
Comma list: 385/384, 9801/9800, 391314/390625<br>
Mapping: [{{val|10 15 23 27 35}}, {{val|0 4 1 5 -2}}]<br>
POTE generator: ~5/4 = 385.396<br>
Vals: 50, 90, 140, 190, 330e, 520de<br>
Badness: 0.056915<br><br>
'''13-limit'''<br>
Comma list: 385/384, 625/624, 847/845, 4459/4455<br>
Mapping: [{{val|10 15 23 27 35 37}}, {{val|0 4 1 5 -2 0}}]<br>
POTE generator: ~5/4 = 385.419<br>
Vals: 50, 90, 140, 190, 330e<br>
Badness: 0.029297<br><br>
; [[Metric microtemperaments #Stockhausenic|Stockhausenic]] (140 &amp; 183)
'''7-limit'''<br>
Comma list: 703125/702464, 4096000/4084101<br>
Mapping: [{{val|1 4 0 -1}}, {{val|0 -26 25 41}}]<br>
POTE generator: ~16/15 = 111.453<br>
Vals: 43, 97, 140, 183, 323, 786, 1109d, 1432d<br>
Badness: 0.088753<br><br>
'''11-limit'''<br>
Comma list: 1375/1372, 5632/5625, 35937/35840<br>
Mapping: [{{val|1 4 0 -1 -1}}, {{val|0 -26 25 41 48}}]<br>
POTE generator: ~16/15 = 111.460<br>
Vals: 43, 97e, 140, 183, 323, 506, 829de, 1335ddee<br>
Badness: 0.056043<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 1375/1372, 4096/4095<br>
Mapping: [{{val|1 4 0 -1 -1 5}}, {{val|0 -26 25 41 48 -14}}]<br>
POTE generator: ~16/15 = 111.458<br>
Vals: 43, 97e, 140, 183, 323, 829def, 1152deef<br>
Badness: 0.029947<br><br>
'''17-limit'''<br>
Comma list: 442/441, 561/560, 676/675, 715/714, 4096/4095<br>
Mapping: [{{val|1 4 0 -1 -1 5 0}}, {{val|0 -26 25 41 48 -14 44}}]<br>
POTE generator: ~16/15 = 111.459<br>
Vals: 43, 97e, 140, 183, 323, 506, 829defg<br>
Badness: 0.019205<br><br>
 
'''<font style="font-size: 1.15em">4 May 2021</font>'''
; [[Vishnuzmic family #Decavish|Decavish]] (50 &amp; 270)
'''7-limit'''<br>
Comma list: 420175/419904, 2202927104/2197265625<br>
Mapping: [{{val|10 13 22 24}}, {{val|0 7 3 10}}]<br>
POTE generator: ~25/24 = 71.129<br>
Vals: 50, 220, 270, 1400, 1670, 1940, 2210c, 2480c<br>
Badness: 0.114531<br><br>
'''11-limit'''<br>
Comma list: 9801/9800, 41503/41472, 172032/171875<br>
Mapping: [{{val|10 13 22 24 35}}, {{val|0 7 3 10 -1}}]<br>
POTE generator: ~25/24 = 71.141<br>
Vals: 50, 220, 270, 860, 1130, 1400, 3070cd, 4470cde<br>
Badness: 0.036938<br><br>
'''13-limit'''<br>
Comma list: 1001/1000, 4225/4224, 4459/4455, 6656/6655<br>
Mapping: [{{val|10 13 22 24 35 37}}, {{val|0 7 3 10 -1 0}}]<br>
POTE generator: ~25/24 = 71.151<br>
Vals: 50, 220, 270, 590, 860, 1130<br>
Badness: 0.021906<br><br>
; [[Bronzismic temperaments #Bronzoid|Bronzoid]] (109 &amp; 142)
'''7-limit'''<br>
Comma list: 2097152/2083725, 52734375/52706752<br>
Mapping: [{{val|1 14 -11 -9}}, {{val|0 -41 44 39}}]<br>
POTE generator: ~315/256 = 363.347<br>
Vals: 33, 76b, 109, 142, 251<br>
Badness: 0.382300<br><br>
'''11-limit'''<br>
Comma list: 1331/1323, 1375/1372, 2097152/2083725<br>
Mapping: [{{val|1 14 -11 -9 8}}, {{val|0 -41 44 39 -15}}]<br>
POTE generator: ~315/256 = 363.344<br>
Vals: 33, 76b, 109, 142, 251<br>
Badness: 0.152568<br><br>
 
'''<font style="font-size: 1.15em">5 May 2021</font>'''
; [[Ragismic microtemperaments #Ennealimmal|Ennealimmia]] (171 &amp; 270)
'''11-limit'''<br>
Comma list: 2401/2400, 4375/4374, 131072/130977<br>
Mapping: [{{val|9 1 1 12 124}}, {{val|0 2 3 2 -14}}]<br>
POTE generator: ~6/5 = 315.591<br>
Vals: 99, 171, 270, 711, 981, 1251, 2232e<br>
Badness: 0.026463<br><br>
'''13-limit'''<br>
Comma list: 2080/2079, 2401/2400, 4096/4095, 4375/4374<br>
Mapping: [{{val|9 1 1 12 124 93}}, {{val|0 2 3 2 -14 -9}}]<br>
POTE generator: ~6/5 = 315.600<br>
Vals: 99, 171, 270, 711, 981, 1692e, 2673e<br>
Badness: 0.016607<br><br>
 
'''<font style="font-size: 1.15em">10 May 2021</font>'''
; [[Ragismic microtemperaments #Parakleismic|Paralytic]] (118 &amp; 217)
<font style="font-size: 0.85em">(Name revised from ''Paraklein'' 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 &amp; 217)
'''7-limit'''<br>
Comma list: 10976/10935, 823543/819200<br>
Mapping: [{{val|1 2 -18 -3}}, {{val|0 -1 49 14}}]<br>
POTE generator: ~3/2 = 702.317<br>
Vals: 41, 135c, 176, 217, 258, 475<br>
Badness: 0.105632<br><br>
'''11-limit'''<br>
Comma list: 441/440, 10976/10935, 16384/16335<br>
Mapping: [{{val|1 2 -18 -3 13}}, {{val|0 -1 49 14 -23}}]<br>
POTE generator: ~3/2 = 702.303<br>
Vals: 41, 176, 217<br>
Badness: 0.050966<br><br>
'''13-limit'''<br>
Comma list: 364/363, 441/440, 3584/3575, 10976/10935<br>
Mapping: [{{val|1 2 -18 -3 13 29}}, {{val|0 -1 49 14 -23 -61}}]<br>
POTE generator: ~3/2 = 702.306<br>
Vals: 41, 176, 217<br>
Badness: 0.036951<br><br>
'''17-limit'''<br>
Comma list: 364/363, 441/440, 595/594, 3584/3575, 8281/8262<br>
Mapping: [{{val|1 2 -18 -3 13 29 41}}, {{val|0 -1 49 14 -23 -61 -89}}]<br>
POTE generator: ~3/2 = 702.307<br>
Vals: 41, 176, 217<br>
Badness: 0.029495<br><br>
'''19-limit'''<br>
Comma list: 343/342, 364/363, 441/440, 595/594, 1216/1215, 1729/1728<br>
Mapping: [{{val|1 2 -18 -3 13 29 41 -14}}, {{val|0 -1 49 14 -23 -61 -89 44}}]<br>
POTE generator: ~3/2 = 702.308<br>
Vals: 41, 176, 217<br>
Badness: 0.021811<br><br>
 
'''<font style="font-size: 1.15em">12 May 2021</font>'''
; [[Misty family #Fog|Fog]] (12 &amp; 63)
'''7-limit'''<br>
Comma list: 225/224, 156250/151263<br>
Mapping: [{{val|3 5 6 7}}, {{val|0 -1 4 6}}]<br>
POTE generator: ~3/2 = 704.118<br>
Vals: 12, 51, 63, 75<br>
Badness: 0.086866<br><br>
'''11-limit'''<br>
Comma list: 100/99, 225/224, 2420/2401<br>
Mapping: [{{val|3 5 6 7 8}}, {{val|0 -1 4 6 10}}]<br>
POTE generator: ~3/2 = 704.411<br>
Vals: 12, 51, 63, 138de<br>
Badness: 0.051348<br><br>
; [[Porwell temperaments #Countermiracle|Countermiracle]] (31 &amp; 145)
'''7-limit'''<br>
Comma list: 6144/6125, 50421/50000<br>
Mapping: [{{val|1 4 3 3}}, {{val|0 -25 -7 -2}}]<br>
POTE generator: ~343/320 = 115.917<br>
Vals: 31, 114, 145, 176, 559cc, 735cc<br>
Badness: 0.102326<br><br>
'''11-limit'''<br>
Comma list: 441/440, 3388/3375, 6144/6125<br>
Mapping: [{{val|1 4 3 3 8}}, {{val|0 -25 -7 -2 -47}}]<br>
POTE generator: ~77/72 = 115.916<br>
Vals: 31, 114e, 145, 176<br>
Badness: 0.039162<br><br>
 
'''<font style="font-size: 1.15em">13 May 2021</font>'''
; [[Ragismic microtemperaments #Parakleismic|Paraklein]] (19e &amp; 118)
'''13-limit'''<br>
Comma list: 196/195, 352/351, 625/624, 729/728<br>
Mapping: [{{val|1 5 6 12 25 15}}, {{val|0 -13 -14 -35 -82 -43}}]<br>
POTE generator: ~6/5 = 315.225<br>
Vals: 19e, 99ef, 118, 217ff, 335ff<br>
Badness: 0.037618<br><br>
; [[Porwell temperaments #Countermiracle|Countermiraculous]] (31 &amp; 145)
'''13-limit'''<br>
Comma list: 196/195, 352/351, 1001/1000, 6144/6125<br>
Mapping: [{{val|1 4 3 3 8 1}}, {{val|0 -25 -7 -2 -47 28}}]<br>
POTE generator: ~77/72 = 115.880<br>
Vals: 31, 83e, 114e, 145, 321ceff<br>
Badness: 0.039271<br><br>
; [[Porwell temperaments #Countermiracle|Counterbenediction]] (31 &amp; 176)
'''13-limit'''<br>
Comma list: 351/350, 441/440, 3146/3125, 3584/3575<br>
Mapping: [{{val|1 4 3 3 8 -2}}, {{val|0 -25 -7 -2 -47 59}}]<br>
POTE generator: ~77/72 = 115.933<br>
Vals: 31, 145f, 176, 207, 383c, 590cc<br>
Badness: 0.045569<br><br>
; [[Porwell temperaments #Countermiracle|Counterrevelation]] (31 &amp; 114)
'''11-limit'''<br>
Comma list: 121/120, 176/175, 50421/50000<br>
Mapping: [{{val|1 4 3 3 5}}, {{val|0 -25 -7 -2 -16}}]<br>
POTE generator: ~343/320 = 115.919<br>
Vals: 31, 114, 145e, 176e<br>
Badness: 0.064070<br><br>
'''13-limit'''<br>
Comma list: 121/120, 176/175, 196/195, 13750/13689<br>
Mapping: [{{val|1 4 3 3 5 1}}, {{val|0 -25 -7 -2 -16 28}}]<br>
POTE generator: ~273/256 = 115.862<br>
Vals: 31, 83, 114, 145e<br>
Badness: 0.057497<br><br>
; [[Schismatic family #Septant|Septant]] (224 &amp; 301)
'''7-limit'''<br>
Comma list: 32805/32768, 516560652/514714375<br>
Mapping: [{{val|7 11 17 19}}, {{val|0 1 -8 7}}]<br>
POTE generator: ~3/2 = 701.702<br>
Vals: 77, 147, 224, 301, 525, 826, 1351<br>
Badness: 0.111142<br><br>
'''11-limit'''<br>
Comma list: 3025/3024, 24057/24010, 32805/32768<br>
Mapping: [{{val|7 11 17 19 23}}, {{val|0 1 -8 7 13}}]<br>
POTE generator: ~3/2 = 701.719<br>
Vals: 77, 147, 224, 301, 525<br>
Badness: 0.044122<br><br>
'''13-limit'''<br>
Comma list: 729/728, 1716/1715, 2200/2197, 3025/3024<br>
Mapping: [{{val|7 11 17 19 23 26}}, {{val|0 1 -8 7 13 -1}}]<br>
POTE generator: ~3/2 = 701.724<br>
Vals: 77, 147, 224, 525<br>
Badness: 0.024706<br><br>
'''<font style="font-size: 1.15em">15 May 2021</font>'''
; [[Schismatic family #Term|Terminal]] (12 &amp; 159)
'''11-limit'''<br>
Comma list: 441/440, 4375/4356, 32805/32768<br>
Mapping: [{{val|3 5 5 4 4}}, {{val|0 -1 8 18 26}}]<br>
POTE generator: ~35/33 = 98.176<br>
Vals: 12, 147de, 159, 330<br>
Badness: 0.059502<br><br>
'''13-limit'''<br>
Comma list: 364/363, 441/440, 625/624, 13720/13689<br>
Mapping: [{{val|3 5 5 4 4 3}}, {{val|0 -1 8 18 26 33}}]<br>
POTE generator: ~35/33 = 98.179<br>
Vals: 12f, 147def, 159, 330<br>
Badness: 0.037082<br><br>
'''17-limit'''<br>
Comma list: 364/363, 375/374, 441/440, 595/594, 8624/8619<br>
Mapping: [{{val|3 5 5 4 4 3 13}}, {{val|0 -1 8 18 26 33 -3}}]<br>
POTE generator: ~18/17 = 98.190<br>
Vals: 12f, 147def, 159, 171, 330<br>
Badness: 0.027073<br><br>
; [[Schismatic family #Term|Semiterm]] (12 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 224)
'''11-limit'''<br>
Comma list: 1375/1372, 4375/4374, 496125/495616<br>
Mapping: [{{val|1 -5 -4 -18 -40}}, {{val|0 25 24 79 165}}]<br>
POTE generator: ~6/5 = 316.065<br>
Vals: 19e, 205e, 224<br>
Badness: 0.065400<br><br>
'''13-limit'''<br>
Comma list: 625/624, 729/728, 1375/1372, 10985/10976<br>
Mapping: [{{val|1 -5 -4 -18 -40 -15}}, {{val|0 25 24 79 165 71}}]<br>
POTE generator: ~6/5 = 316.065<br>
Vals: 19e, 205e, 224<br>
Badness: 0.029782<br><br>
 
'''<font style="font-size: 1.15em">24 May 2021</font>'''
; [[Metric microtemperaments #Geb|Geb]] (171 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 513)
'''13-limit'''<br>
Comma list: 2080/2079, 2401/2400, 4375/4374, 32805/32768<br>
Mapping: [{{val|171 271 397 480 0 41}}, {{val|0 0 0 0 1 1}}]<br>
POTE generator: ~11/8 = 551.625<br>
Vals: 171, 342f, 513, 855f<br>
Badness: 0.046843<br><br>
'''17-limit'''<br>
Comma list: 936/935, 1225/1224, 1701/1700, 2025/2023, 11271/11264<br>
Mapping: [{{val|171 271 397 480 0 41 699}}, {{val|0 0 0 0 1 1 0}}]<br>
POTE generator: ~11/8 = 551.756<br>
Vals: 171, 342f, 513, 855f<br>
Badness: 0.030622<br><br>
 
'''<font style="font-size: 1.15em">2 June 2021</font>'''
; [[Compton family #Decades|Decades]] (36 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 164)
'''11-limit'''<br>
Comma list: 3025/3024, 4375/4374, 33554432/33480783<br>
Mapping: [{{val|2 4 9 -6 -2}}, {{val|0 -4 -21 56 43}}]<br>
POTE generator: ~275/256 = 124.450<br>
Vals: 106, 164, 270<br>
Badness: 0.040799<br><br>
'''13-limit'''<br>
Comma list: 676/675, 3025/3024, 4096/4095, 4375/4374<br>
Mapping: [{{val|2 4 9 -6 -2 13}}, {{val|0 -4 -21 56 43 -27}}]<br>
POTE generator: ~275/256 = 124.447<br>
Vals: 106, 164, 270<br>
Badness: 0.035458<br><br>
; [[Vulture family #Eagle|Eagle]] (58 &amp; 212)
'''7-limit'''<br>
Comma list: 2401/2400, 10485760000/10460353203<br>
Mapping: [{{val|2 4 9 8}}, {{val|0 -8 -42 -23}}]<br>
POTE generator: ~28/27 = 62.229<br>
Vals: 58, 212, 270, 752, 1022, 1292, 2854b<br>
Badness: 0.059498<br><br>
'''11-limit'''<br>
Comma list: 2401/2400, 9801/9800, 19712/19683<br>
Mapping: [{{val|2 4 9 8 12}}, {{val|0 -8 -42 -23 -49}}]<br>
POTE generator: ~28/27 = 62.224<br>
Vals: 58, 212, 270<br>
Badness: 0.024885<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 1716/1715, 10648/10647<br>
Mapping: [{{val|2 4 9 8 12 13}}, {{val|0 -8 -42 -23 -49 -54}}]<br>
POTE generator: ~28/27 = 62.220<br>
Vals: 58, 212, 270<br>
Badness: 0.016282<br><br>
; [[Quindromeda family|Quindromeda]] (12 &amp; 193)
'''5-limit'''<br>
Comma: {{monzo|56 -28 -5}}<br>
Mapping: [{{val|1 2 0}}, {{val|0 -5 28}}]<br>
POTE generator: ~4428675/4194304 = 99.526<br>
Vals: 12, 169, 181, 193, 205, 217, 422<br>
Badness: 0.399849<br><br>
; [[Quindromeda family #Quintakwai|Quintakwai]] (12 &amp; 193)
'''7-limit'''<br>
Comma list: 5120/5103, 9765625/9680832<br>
Mapping: [{{val|1 2 0 -2}}, {{val|0 -5 28 58}}]<br>
POTE generator: ~625/588 = 99.483<br>
Vals: 12, 169, 181, 193<br>
Badness: 0.155536<br><br>
'''11-limit'''<br>
Comma list: 1375/1372, 4375/4356, 5120/5103<br>
Mapping: [{{val|1 2 0 -2 -4}}, {{val|0 -5 28 58 90}}]<br>
POTE generator: ~35/33 = 99.472<br>
Vals: 12, 181, 193, 374, 567ce<br>
Badness: 0.073158<br><br>
'''13-limit'''<br>
Comma list: 325/324, 1375/1372, 1575/1573, 4096/4095<br>
Mapping: [{{val|1 2 0 -2 -4 10}}, {{val|0 -5 28 58 90 -76}}]<br>
POTE generator: ~35/33 = 99.468<br>
Vals: 12, 181, 193, 374, 567ce, 941bce<br>
Badness: 0.062737<br><br>
'''17-limit'''<br>
Comma list: 325/324, 375/374, 595/594, 1275/1274, 4096/4095<br>
Mapping: [{{val|1 2 0 -2 -4 10 5}}, {{val|0 -5 28 58 90 -76 -11}}]<br>
POTE generator: ~18/17 = 99.469<br>
Vals: 12, 181, 193, 374, 567ce, 941bceg<br>
Badness: 0.037855<br><br>
'''19-limit'''<br>
Comma list: 325/324, 375/374, 400/399, 595/594, 1216/1215, 1275/1274<br>
Mapping: [{{val|1 2 0 -2 -4 10 5 4}}, {{val|0 -5 28 58 90 -76 -11 3}}]<br>
POTE generator: ~18/17 = 99.469<br>
Vals: 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh<br>
Badness: 0.025861<br><br>
; [[Quindromeda family #Quintagar|Quintagar]] (12 &amp; 217)
<font style="font-size: 0.85em">(Name revised from ''Quintoneum'' on 30 June 2021)</font><br>
'''7-limit'''<br>
Comma list: 3136/3125, 33554432/33480783<br>
Mapping: [{{val|1 2 0 -3}}, {{val|0 -5 28 70}}]<br>
POTE generator: ~200/189 = 99.555<br>
Vals: 12, 217, 229, 446, 675c<br>
Badness: 0.142897<br><br>
; [[Quindromeda family #Quintagar|Quintoneum]] (12 &amp; 217)
'''11-limit'''<br>
Comma list: 441/440, 3136/3125, 7168000/7144929<br>
Mapping: [{{val|1 2 0 -3 -5}}, {{val|0 -5 28 70 102}}]<br>
POTE generator: ~35/33 = 99.539<br>
Vals: 12, 205d, 217<br>
Badness: 0.087157<br><br>
'''13-limit'''<br>
Comma list: 364/363, 441/440, 3136/3125, 13720/13689<br>
Mapping: [{{val|1 2 0 -3 -5 -7}}, {{val|0 -5 28 70 102 129}}]<br>
POTE generator: ~35/33 = 99.541<br>
Vals: 12f, 205df, 217<br>
Badness: 0.052361<br><br>
'''17-limit'''<br>
Comma list: 364/363, 441/440, 595/594, 3136/3125, 3757/3750<br>
Mapping: [{{val|1 2 0 -3 -5 -7 5}}, {{val|0 -5 28 70 102 129 -11}}]<br>
POTE generator: ~18/17 = 99.540<br>
Vals: 12f, 205df, 217<br>
Badness: 0.035653<br><br>
'''19-limit'''<br>
Comma list: 364/363, 441/440, 476/475, 595/594, 1216/1215, 3757/3750<br>
Mapping: [{{val|1 2 0 -3 -5 -7 5 4}}, {{val|0 -5 28 70 102 129 -11 3}}]<br>
POTE generator: ~18/17 = 99.541<br>
Vals: 12f, 205df, 217<br>
Badness: 0.025782<br><br>
; [[Quindromeda family #Quintagar|Quinsandra]] (217 &amp; 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 &amp; 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 &amp; 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 &amp; 422)
'''7-limit'''<br>
Comma list: 102760448/102515625, 1220703125/1219784832<br>
Mapping: [{{val|2 4 0 -5}}, {{val|0 -5 28 64}}]<br>
POTE generator: ~1323/1250 = 99.521<br>
Vals: 12, 398, 410, 422, 832, 1254d, 2086bd<br>
Badness: 0.233140<br><br>
'''11-limit'''<br>
Comma list: 5632/5625, 9801/9800, 85937500/85766121<br>
Mapping: [{{val|2 4 0 -5 -10}}, {{val|0 -5 28 64 102}}]<br>
POTE generator: ~1323/1250 = 99.525<br>
Vals: 12, 410, 422<br>
Badness: 0.093926<br><br>
'''13-limit'''<br>
Comma list: 1716/1715, 2080/2079, 5632/5625, 831875/830466<br>
Mapping: [{{val|2 4 0 -5 -10 -13}}, {{val|0 -5 28 64 102 123}}]<br>
POTE generator: ~1323/1250 = 99.523<br>
Vals: 12f, 410, 422, 1254df, 1676bdff, 2098bcddff<br>
Badness: 0.053361<br><br>
'''17-limit'''<br>
Comma list: 1716/1715, 2080/2079, 2500/2499, 5632/5625, 15895/15876<br>
Mapping: [{{val|2 4 0 -5 -10 -13 10}}, {{val|0 -5 28 64 102 123 -11}}]<br>
POTE generator: ~18/17 = 99.522<br>
Vals: 12f, 410, 422, 832, 1254df, 1676bdff<br>
Badness: 0.034659<br><br>
'''19-limit'''<br>
Comma list: 1216/1215, 1445/1444, 1716/1715, 2080/2079, 2376/2375, 2500/2499<br>
Mapping: [{{val|2 4 0 -5 -10 -13 10 8}}, {{val|0 -5 28 64 102 123 -11 3}}]<br>
POTE generator: ~18/17 = 99.523<br>
Vals: 12f, 410, 422, 1254dfhh, 1676bdffhh<br>
Badness: 0.025439<br><br>
 
'''<font style="font-size: 1.15em">28 June 2021</font>'''
; [[Quindromeda family #Quintagar|Quintoneoid]] (12 &amp; 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 &amp; 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 &amp; 125)
'''11-limit'''<br>
Comma list: 385/384, 1331/1323, 4375/4374<br>
Mapping: [{{val|1 -1 -3 6 3}}, {{val|0 17 35 -21 3}}]<br>
POTE generator: ~10/9 = 182.449<br>
Vals: 46, 125, 171e<br>
Badness: 0.053662<br><br>
'''13-limit'''<br>
Comma list: 352/351, 385/384, 1331/1323, 3267/3250<br>
Mapping: [{{val|1 -1 -3 6 3 11}}, {{val|0 17 35 -21 3 -48}}]<br>
POTE generator: ~10/9 = 182.470<br>
Vals: 46, 125, 171e, 388ee<br>
Badness: 0.046170<br><br>
'''17-limit'''<br>
Comma list: 352/351, 385/384, 561/560, 715/714, 1452/1445<br>
Mapping: [{{val|1 -1 -3 6 3 11 5}}, {{val|0 17 35 -21 3 -48 -6}}]<br>
POTE generator: ~10/9 = 182.471<br>
Vals: 46, 125, 171e, 388ee<br>
Badness: 0.028423<br><br>
 
'''<font style="font-size: 1.15em">12 July 2021</font>'''
; [[Quintaleap family|Quintaleap]] (12 &amp; 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 &amp; 121)
'''7-limit'''<br>
Comma list: 4000/3969, 458752/455625<br>
Mapping: [{{val|1 2 1 0}}, {{val|0 -5 16 34}}]<br>
POTE generator: ~135/128 = 99.175<br>
Vals: 12, 97, 109, 121<br>
Badness: 0.111620<br><br>
'''11-limit'''<br>
Comma list: 896/891, 1375/1372, 4375/4356<br>
Mapping: [{{val|1 2 1 0 -1}}, {{val|0 -5 16 34 54}}]<br>
POTE generator: ~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 &amp; 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 &amp; 85)
'''7-limit'''<br>
Comma list: 225/224, 7812500/7411887<br>
Mapping: [{{val|1 2 1 1}}, {{val|0 -5 16 22}}]<br>
POTE generator: ~21/20 = 98.994<br>
Vals: 12, 73c, 85, 97d<br>
Badness: 0.192498<br><br>
'''11-limit'''<br>
Comma list: 100/99, 225/224, 85184/84035<br>
Mapping: [{{val|1 2 1 1 0}}, {{val|0 -5 16 22 42}}]<br>
POTE generator: ~21/20 = 98.954<br>
Vals: 12, 73ce, 85, 97d<br>
Badness: 0.104353<br><br>
 
'''<font style="font-size: 1.15em">18 July 2021</font>'''
; [[Mirkwai clan #Hemiseptisix|Hemiseptisix]] (103 &amp; 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 &amp; 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 &amp; 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 &amp; 205)
'''7-limit'''<br>
Comma list: 5120/5103, 2500000/2470629<br>
Mapping: [{{val|41 65 0 20}}, {{val|0 0 1 1}}]<br>
POTE generator: ~5/4 = 385.667<br>
Vals: 41, 123d, 164d, 205, 246, 451d, 697dd<br>
Badness: 0.142344<br><br>
'''11-limit'''<br>
Comma list: 540/539, 5120/5103, 75625/75264<br>
Mapping: [{{val|41 65 0 20 237}}, {{val|0 0 1 1 -1}}]<br>
POTE generator: ~5/4 = 385.309<br>
Vals: 41, 164d, 205, 246<br>
Badness: 0.076588<br><br>
 
'''<font style="font-size: 1.15em">13 August 2021</font>'''
; [[Hemfiness temperaments #Undesemi|Undesemi]] (15 &amp; 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 &amp; 56)
'''7-limit'''<br>
Comma list: 3136/3125, 2097152/2083725<br>
Mapping: [{{val| 1 6 0 -3 }}, {{val| 0 -19 10 25 }}]<br>
POTE generator: ~75/64 = 278.800<br>
Vals: 13, 43, 56, 99<br>
Badness: 0.087325<br><br>
'''11-limit'''<br>
Comma list: 441/440, 1344/1331, 3136/3125<br>
Mapping: [{{val| 1 6 0 -3 3 }}, {{val| 0 -19 10 25 2 }}]<br>
POTE generator: ~75/64 = 278.799<br>
Vals: 13, 43, 56, 99e<br>
Badness: 0.061413<br><br>
'''13-limit'''<br>
Comma list: 169/168, 441/440, 832/825, 975/968<br>
Mapping: [{{val| 1 6 0 -3 3 3 }}, {{val| 0 -19 10 25 2 3 }}]<br>
POTE generator: ~13/11 = 278.802<br>
Vals: 13, 43, 56, 99e<br>
Badness: 0.047611<br><br>
'''17-limit'''<br>
Comma list: 169/168, 221/220, 256/255, 273/272, 375/374<br>
Mapping: [{{val| 1 6 0 -3 3 3 2 }}, {{val| 0 -19 10 25 2 3 9 }}]<br>
POTE generator: ~13/11 = 278.798<br>
Vals: 13, 43, 56, 99e<br>
Badness: 0.031191<br><br>
'''19-limit'''<br>
Comma list: 169/168, 210/209, 221/220, 256/255, 273/272, 286/285<br>
Mapping: [{{val| 1 6 0 -3 3 3 2 1 }}, {{val| 0 -19 10 25 2 3 9 14 }}]<br>
POTE generator: ~13/11 = 278.790<br>
Vals: 13, 43, 56, 99e<br>
Badness: 0.023899<br><br>
; [[Hemimean clan #Decipentic|Quasijerome]] (43 &amp; 198)
'''11-limit'''<br>
Comma list: 3136/3125, 15488/15435, 16384/16335<br>
Mapping: [{{val| 1 6 0 -3 3 }}, {{val| 0 -38 20 50 47 }}]<br>
POTE generator: ~896/825 = 139.403<br>
Vals: 43, 112, 155, 198, 439cd, 637cd<br>
Badness: 0.092996<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 3136/3125, 15488/15435<br>
Mapping: [{{val| 1 6 0 -3 3 8 }}, {{val| 0 -38 20 50 47 -37 }}]<br>
POTE generator: ~13/12 = 139.403<br>
Vals: 43, 155, 198, 439cdf, 637cdf<br>
Badness: 0.044328<br><br>
 
'''<font style="font-size: 1.15em">14 August 2021</font>'''
; [[Mirkwai clan #Septendesemi|Septendesemi]] (80 &amp; 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 &amp; 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 &amp; 198)
'''11-limit'''<br>
Comma list: 9801/9800, 41503/41472, 585640/583443<br>
Mapping: [{{val|2 11 25 10 16}}, {{val|0 -25 -65 -14 -29}}]<br>
POTE generator: ~49/44 = 187.904<br>
Vals: 166, 198, 364, 562, 926, 1488bd, 2414bdd<br>
Badness: 0.088189<br><br>
'''13-limit'''<br>
Comma list: 1716/1715, 2080/2079, 2200/2197, 17303/17280<br>
Mapping: [{{val|2 11 25 10 16 24}}, {{val|0 -25 -65 -14 -29 -53}}]<br>
POTE generator: ~39/35 = 187.904<br>
Vals: 166, 198, 364, 562, 926<br>
Badness: 0.038009<br><br>
; [[Wizmic microtemperaments #Witch|Hitch]] (198 &amp; 463)
'''11-limit'''<br>
Comma list: 3025/3024, 117649/117612, 1600000/1594323<br>
Mapping: [{{val|1 18 45 12 -10}}, {{val|0 -50 -130 -28 41}}]<br>
POTE generator: ~1120/891 = 393.950<br>
Vals: 198, 463, 661, 1124bde<br>
Badness: 0.093482<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1716/1715, 3025/3024, 1600000/1594323<br>
Mapping: [{{val|1 18 45 12 -10 71}}, {{val|0 -50 -130 -28 41 -205}}]<br>
POTE generator: ~1120/891 = 393.948<br>
Vals: 198, 463, 661<br>
Badness: 0.060716<br><br>
; [[Wizmic microtemperaments #Witch|Hitcher]] (198 &amp; 265)
'''13-limit'''<br>
Comma list: 2080/2079, 3025/3024, 13720/13689, 28672/28561<br>
Mapping: [{{val|1 18 45 12 -10 6}}, {{val|0 -50 -130 -28 41 -7}}]<br>
POTE generator: ~49/39 = 393.949<br>
Vals: 198, 463f, 661ff<br>
Badness: 0.059591<br><br>
 
'''<font style="font-size: 1.15em">16 August 2021</font>'''
; [[Semicomma family #Quinwell|Quinwell]] (22 &amp; 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 &amp; 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 &amp; 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 &amp; 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>'''
; [[Hemimean clan #Mowglic|Mowglic]] (19 &amp; 161)
'''7-limit'''<br>
Comma list: 3136/3125, 177147/175000<br>
Mapping: [{{val| 1 0 0 -3 }}, {{val| 0 15 22 55 }}]<br>
POTE generator: ~27/25 = 126.706<br>
Vals: 19, 123d, 142, 161<br>
Badness: 0.129915<br><br>
'''11-limit'''<br>
Comma list: 540/539, 3136/3125, 72171/71680<br>
Mapping: [{{val| 1 0 0 -3 8 }}, {{val| 0 15 22 55 -43 }}]<br>
POTE generator: ~27/25 = 126.711<br>
Vals: 19, 123de, 142, 161<br>
Badness: 0.094032<br><br>
'''13-limit'''<br>
Comma list: 351/350, 540/539, 1701/1690, 3136/3125<br>
Mapping: [{{val| 1 0 0 -3 8 -2 }}, {{val| 0 15 22 55 -43 54 }}]<br>
POTE generator: ~14/13 = 126.705<br>
Vals: 19, 123def, 142f, 161<br>
Badness: 0.051571<br><br>
'''17-limit'''<br>
Comma list: 351/350, 540/539, 833/832, 1701/1690, 3136/3125<br>
Mapping: [{{val| 1 0 0 -3 8 -2 10 }}, {{val| 0 15 22 55 -43 54 -56 }}]<br>
POTE generator: ~14/13 = 126.703<br>
Vals: 19, 123defg, 142f, 161<br>
Badness: 0.041918<br><br>
'''19-limit'''<br>
Comma list: 351/350, 476/475, 495/494, 513/512, 540/539, 1701/1690<br>
Mapping: [{{val| 1 0 0 -3 8 -2 10 9 }}, {{val| 0 15 22 55 -43 54 -56 -45 }}]<br>
POTE generator: ~14/13 = 126.705<br>
Vals: 19, 123defg, 142f, 161<br>
Badness: 0.032168<br><br>
'''23-limit'''<br>
Comma list: 276/275, 351/350, 476/475, 495/494, 513/512, 529/528, 540/539<br>
Mapping: [{{val| 1 0 0 -3 8 -2 10 9 6 }}, {{val| 0 15 22 55 -43 54 -56 -45 -14 }}]<br>
POTE generator: ~14/13 = 126.703<br>
Vals: 19, 123defg, 142f, 161<br>
Badness: 0.026117<br><br>
'''29-limit'''<br>
Comma list: 261/260, 276/275, 351/350, 476/475, 495/494, 513/512, 529/528, 540/539<br>
Mapping: [{{val| 1 0 0 -3 8 -2 10 9 6 0 }}, {{val| 0 15 22 55 -43 54 -56 -45 -14 46 }}]<br>
POTE generator: ~14/13 = 126.704<br>
Vals: 19, 123defg, 142f, 161<br>
Badness: 0.021398<br><br>
'''31-limit'''<br>
Comma list: 261/260, 276/275, 351/350, 435/434, 476/475, 495/494, 513/512, 529/528, 540/539<br>
Mapping: [{{val| 1 0 0 -3 8 -2 10 9 6 0 2 }}, {{val| 0 15 22 55 -43 54 -56 -45 -14 46 28 }}]<br>
POTE generator: ~14/13 = 126.703<br>
Vals: 19, 123defgk, 142fk, 161<br>
Badness: 0.019331<br><br>
 
===<font style="font-size: 1.15em">Proposed in September 2021</font>===
'''<font style="font-size: 1.15em">4 September 2021</font>'''
; [[Schismatic family #Term|Terminator]] (171 &amp; 183)
'''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>'''
; [[Schismatic family #Quintaschis|Quintaschis]] (12 &amp; 289)
'''7-limit'''<br>
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 &amp; 301)
'''11-limit'''<br>
Comma list: 5632/5625, 8019/8000, 151263/151250<br>
Mapping: [{{val|1 2 -1 -5 -9}}, {{val|0 -5 40 94 150}}]<br>
POTE generator: ~200/189 = 99.671<br>
Vals: 12, 289e, 301, 915, 1216ce<br>
Badness: 0.082225<br><br>
'''13-limit'''<br>
Comma list: 847/845, 1716/1715, 5632/5625, 8019/8000<br>
Mapping: [{{val|1 2 -1 -5 -9 -11}}, {{val|0 -5 40 94 150 177}}]<br>
POTE generator: ~200/189 = 99.661<br>
Vals: 12f, 289e, 301<br>
Badness: 0.055570<br><br>
'''17-limit'''<br>
Comma list: 561/560, 833/832, 847/845, 1701/1700, 3757/3750<br>
Mapping: [{{val|1 2 -1 -5 -9 -11 5}}, {{val|0 -5 40 94 150 177 -11}}]<br>
POTE generator: ~18/17 = 99.665<br>
Vals: 12f, 289e, 301<br>
Badness: 0.040412<br><br>
'''19-limit'''<br>
Comma list: 476/475, 495/494, 561/560, 833/832, 847/845, 1701/1700<br>
Mapping: [{{val|1 2 -1 -5 -9 -11 5 4}}, {{val|0 -5 40 94 150 177 -11 3}}]<br>
POTE generator: ~18/17 = 99.668<br>
Vals: 12f, 289e, 301<br>
Badness: 0.036840<br><br>
; [[Schismatic family #Quintaschis|Quintahelenoid]] (12 &amp; 301)
'''13-limit'''<br>
Comma list: 729/728, 1001/1000, 4096/4095, 86515/86436<br>
Mapping: [{{val|1 2 -1 -5 -9 14}}, {{val|0 -5 40 94 150 -124}}]<br>
POTE generator: ~200/189 = 99.672<br>
Vals: 12, 301, 614, 915<br>
Badness: 0.066108<br><br>
'''17-limit'''<br>
Comma list: 561/560, 729/728, 1001/1000, 4096/4095, 14161/14157<br>
Mapping: [{{val|1 2 -1 -5 -9 14 5}}, {{val|0 -5 40 94 150 -124 -11}}]<br>
POTE generator: ~18/17 = 99.671<br>
Vals: 12, 301, 915gg, 1216cegg<br>
Badness: 0.047908<br><br>
'''19-limit'''<br>
Comma list: 476/475, 561/560, 729/728, 1001/1000, 4096/4095, 6144/6137<br>
Mapping: [{{val|1 2 -1 -5 -9 14 5 4}}, {{val|0 -5 40 94 150 -124 -11 3}}]<br>
POTE generator: ~18/17 = 99.672<br>
Vals: 12, 301, 614gh, 915gghh<br>
Badness: 0.039542<br><br>
 
'''<font style="font-size: 1.15em">11 September 2021</font>'''
; [[Würschmidt family #Hemiwürschmidt|Semihemiwür]] (68 &amp; 130)
<font style="font-size: 0.85em">(''Proposed name for disambiguation of hemiwürschmidt extension'')</font><br>
'''11-limit'''<br>
Comma list: 2401/2400, 3136/3125, 9801/9800<br>
Mapping: [{{val|2 14 6 9 -10}}, {{val|0 -16 -2 -5 25}}]<br>
POTE generator: ~28/25 = 193.902<br>
Vals: 62e, 68, 130, 198, 328<br>
Badness: 0.044848<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 1716/1715, 3136/3125<br>
Mapping: [{{val|2 14 6 9 -10 25}}, {{val|0 -16 -2 -5 25 -26}}]<br>
POTE generator: ~28/25 = 193.903<br>
Vals: 62e, 68, 130, 198, 328<br>
Badness: 0.023388<br><br>
; [[Würschmidt family #Hemiwürschmidt|Semihemiwürat]] (68 &amp; 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 &amp; 27)
'''11-limit'''<br>
Comma list: 55/54, 64/63, 686/675<br>
Mapping: [{{val|1 1 5 4 -1}}, {{val|0 2 -9 -4 15}}]<br>
POTE generator: ~49/40 = 356.710<br>
Vals: 10, 27, 37<br>
Badness: 0.058084<br><br>
'''13-limit'''<br>
Comma list: 55/54, 64/63, 91/90, 169/168<br>
Mapping: [{{val|1 1 5 4 -1 4}}, {{val|0 2 -9 -4 15 -1}}]<br>
POTE generator: ~16/13 = 356.701<br>
Vals: 10, 27, 37<br>
Badness: 0.033971<br><br>
; [[Mirkwai clan #Subsedia|Subsedia]] (10 &amp; 111)
'''7-limit'''<br>
Comma list: 16875/16807, 65536/64827<br>
Mapping: [{{val|1 0 5 4}}, {{val|0 16 -27 -12}}]<br>
POTE generator: ~15/14 = 118.965<br>
Vals: 10, 101, 111, 121, 232d<br>
Badness: 0.157658<br><br>
'''11-limit'''<br>
Comma list: 540/539, 1375/1372, 65536/64827<br>
Mapping: [{{val|1 0 5 4 -1}}, {{val|0 16 -27 -12 45}}]<br>
POTE generator: ~15/14 = 118.968<br>
Vals: 10, 101, 111, 121, 232d<br>
Badness: 0.066838<br><br>
'''13-limit'''<br>
Comma list: 352/351, 540/539, 676/675, 1375/1372<br>
Mapping: [{{val|1 0 5 4 -1 4}}, {{val|0 16 -27 -12 45 -3}}]<br>
POTE generator: ~15/14 = 118.968<br>
Vals: 10, 101, 111, 121, 232d<br>
Badness: 0.031635<br><br>
'''17-limit'''<br>
Comma list: 256/255, 352/351, 442/441, 540/539, 715/714<br>
Mapping: [{{val|1 0 5 4 -1 4 3}}, {{val|0 16 -27 -12 45 -3 11}}]<br>
POTE generator: ~15/14 = 118.968<br>
Vals: 10, 101, 111, 121, 232dg<br>
Badness: 0.019707<br><br>
'''19-limit'''<br>
Comma list: 256/255, 352/351, 400/399, 442/441, 456/455, 715/714<br>
Mapping: [{{val|1 0 5 4 -1 4 3 10}}, {{val|0 16 -27 -12 45 -3 11 -58}}]<br>
POTE generator: ~15/14 = 118.964<br>
Vals: 10, 101h, 111, 121, 232dg<br>
Badness: 0.017935<br><br>
 
'''<font style="font-size: 1.15em">12 September 2021</font>'''
; [[Quindromeda family #Quintakwai|Quinkwai]] (12f &amp; 181)
'''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 &amp; 193)
'''13-limit'''<br>
Comma list: 364/363, 625/624, 1375/1372, 5120/5103<br>
Mapping: [{{val|1 2 0 -2 -4 -6}}, {{val|0 -5 28 58 90 117}}]<br>
POTE generator: ~35/33 = 99.484<br>
Vals: 12f, 181f, 193<br>
Badness: 0.057357<br><br>
'''17-limit'''<br>
Comma list: 364/363, 375/374, 442/441, 595/594, 5120/5103<br>
Mapping: [{{val|1 2 0 -2 -4 -6 5}}, {{val|0 -5 28 58 90 117 -11}}]<br>
POTE generator: ~18/17 = 99.484<br>
Vals: 12f, 181f, 193<br>
Badness: 0.039289<br><br>
'''19-limit'''<br>
Comma list: 364/363, 375/374, 400/399, 442/441, 595/594, 1216/1215<br>
Mapping: [{{val|1 2 0 -2 -4 -6 5 4}}, {{val|0 -5 28 58 90 117 -11 3}}]<br>
POTE generator: ~18/17 = 99.485<br>
Vals: 12f, 181f, 193<br>
Badness: 0.028101<br><br>
 
'''<font style="font-size: 1.15em">18 September 2021</font>'''
; [[Passion family #Passionate|Passionate]] (12 &amp; 61)
'''7-limit'''<br>
Comma list: 126/125, 131072/127575<br>
Mapping: [{{val|1 2 2 1}}, {{val|0 -5 4 22}}]<br>
POTE generator: ~16/15 = 98.817<br>
Vals: 12, 61, 73, 85c<br>
Badness: 0.121293<br><br>
'''11-limit'''<br>
Comma list: 126/125, 176/175, 8192/8019<br>
Mapping: [{{val|1 2 2 1 1}}, {{val|0 -5 4 22 30}}]<br>
POTE generator: ~16/15 = 98.721<br>
Vals: 12, 61, 73, 158bccee<br>
Badness: 0.068322<br><br>
'''13-limit'''<br>
Comma list: 126/125, 176/175, 343/338, 364/363<br>
Mapping: [{{val|1 2 2 1 1 1}}, {{val|0 -5 4 22 30 33}}]<br>
POTE generator: ~16/15 = 98.627<br>
Vals: 12f, 61, 73f<br>
Badness: 0.052302<br><br>
; [[Starling temperaments #Passionate|Pash]] (12 &amp; 73)
'''13-limit'''<br>
Comma list: 126/125, 176/175, 196/195, 1352/1331<br>
Mapping: [{{val|1 2 2 1 1 0}}, {{val|0 -5 4 22 30 45}}]<br>
POTE generator: ~16/15 = 98.791<br>
Vals: 12f, 61f, 73, 85ce<br>
Badness: 0.056386<br><br>
 
'''<font style="font-size: 1.15em">25 September 2021</font>'''
; [[Parkleiness temperaments #Majvamic|Majvamic]] (183 &amp; 217)
'''7-limit'''<br>
Comma list: 1959552/1953125, 67108864/66976875<br>
Mapping: [{{val|1 10 5 -32}}, {{val|0 -22 -7 91}}]<br>
POTE generator: ~125/96 = 459.001<br>
Vals: 34, 149d, 183, 217, 400<br>
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 &amp; 183)
'''7-limit'''<br>
Comma list: 19683/19600, 29360128/29296875<br>
Mapping: [{{val|1 10 5 38}}, {{val|0 -22 -7 -92}}]<br>
POTE generator: ~125/96 = 459.031<br>
Vals: 34d, 115d, 149, 183, 332, 515, 847, 1362bc<br>
Badness: 0.207280<br><br>
'''11-limit'''<br>
Comma list: 3025/3024, 5632/5625, 19683/19600<br>
Mapping: [{{val|1 10 5 38 31}}, {{val|0 -22 -7 -92 -72}}]<br>
POTE generator: ~125/96 = 459.027<br>
Vals: 34d, 149, 183, 332e, 515e, 698e<br>
Badness: 0.065874<br><br>
'''13-limit'''<br>
Comma list: 351/350, 676/675, 1573/1568, 4225/4224<br>
Mapping: [{{val|1 10 5 38 31 19}}, {{val|0 -22 -7 -92 -72 -40}}]<br>
POTE generator: ~125/96 = 459.028<br>
Vals: 34d, 149, 183, 332ef, 515ef<br>
Badness: 0.034696<br><br>
'''17-limit'''<br>
Comma list: 351/350, 561/560, 676/675, 715/714, 4225/4224<br>
Mapping: [{{val|1 10 5 38 31 19 6}}, {{val|0 -22 -7 -92 -72 -40 -5}}]<br>
POTE generator: ~125/96 = 459.027<br>
Vals: 34d, 149, 183, 332ef, 515ef, 698ef<br>
Badness: 0.023302<br><br>
; [[Vishnuzmic family #Narayana|Narayana]] (84 &amp; 118)
'''7-limit'''<br>
Comma list: 65625/65536, 321489/320000<br>
Mapping: [{{val|2 4 5 3}}, {{val|0 -7 -3 22}}]<br>
POTE generator: ~25/24 = 71.265<br>
Vals: 34, 84, 118, 202, 320, 522<br>
Badness: 0.094295<br><br>
'''11-limit'''<br>
Comma list: 441/440, 8019/8000, 65625/65536<br>
Mapping: [{{val|2 4 5 3 3}}, {{val|0 -7 -3 22 33}}]<br>
POTE generator: ~25/24 = 71.248<br>
Vals: 34e, 84, 118, 202, 320<br>
Badness: 0.045908<br><br>
 
'''<font style="font-size: 1.15em">26 September 2021</font>'''
; [[Vulture family #Turkey|Turkey]] (212 &amp; 217)
'''7-limit'''<br>
Comma list: 4802000/4782969, 5250987/5242880<br>
Mapping: [{{val|1 8 36 0}}, {{val|0 -16 -84 7}}]<br>
POTE generator: ~1715/1296 = 481.120<br>
Vals: 5, 207c, 212, 429<br>
Badness: 0.210964<br><br>
'''11-limit'''<br>
Comma list: 19712/19683, 42875/42768, 160083/160000<br>
Mapping: [{{val|1 8 36 0 64}}, {{val|0 -16 -84 7 -151}}]<br>
POTE generator: ~33/25 = 481.120<br>
Vals: 212, 429<br>
Badness: 0.079694<br><br>
'''13-limit'''<br>
Comma list: 676/675, 1001/1000, 19712/19683, 31213/31104<br>
Mapping: [{{val|1 8 36 0 64 47}}, {{val|0 -16 -84 7 -151 -108}}]<br>
POTE generator: ~33/25 = 481.118<br>
Vals: 212, 217, 429<br>
Badness: 0.043787<br><br>
 
===<font style="font-size: 1.15em">Proposed in October 2021</font>===
'''<font style="font-size: 1.15em">2 October 2021</font>'''
; [[Tritrizo clan #Lunennealimmal|Lunennealimmal]] (441 &amp; 882)
'''11-limit'''<br>
Comma list: 2401/2400, 4375/4374, 274877906944/274658203125<br>
Mapping: [{{val|441 699 1024 1238 1526}}, {{val|0 0 0 0 -1}}]<br>
POTE generator: ~11/8 = 551.3584<br>
Vals: 441, 882, 1323, 2205, 3528<br>
Badness: 0.091939<br><br>
'''13-limit'''<br>
Comma list: 2401/2400, 4096/4095, 4375/4374, 85750/85683<br>
Mapping: [{{val|441 699 1024 1238 1526 1632}}, {{val|0 0 0 0 -1 0}}]<br>
POTE generator: ~11/8 = 551.4043<br>
Vals: 441, 882, 1323, 3528f, 4851ff, 6174dff<br>
Badness: 0.042975<br><br>
'''17-limit'''<br>
Comma list: 2401/2400, 4096/4095, 4375/4374, 8624/8619, 14161/14157<br>
Mapping: [{{val|441 699 1024 1238 1526 1632 1803}}, {{val|0 0 0 0 -1 0 -1}}]<br>
POTE generator: ~11/8 = 551.3688<br>
Vals: 441, 882, 1323, 2205f, 3528f<br>
Badness: 0.029334<br><br>
 
'''<font style="font-size: 1.15em">3 October 2021</font>'''
; [[Ragismic microtemperaments #Octoid|Hexadecoid]] (80 &amp; 144)
'''13-limit'''<br>
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>'''
; [[Hemimean clan #Undetrita|Undetrita]] (111 &amp; 118)
'''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>'''
; [[Fractional-octave temperaments #37th-octave temperaments|Rubidium]] (37 &amp; 111)
'''7-limit'''<br>
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 &amp; 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 &amp; 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>'''
; [[Fractional-octave temperaments #37th-octave temperaments|Triacontaheptoid]] (37 &amp; 296)
'''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>'''
; [[Parkleiness temperaments #Octogintic|Octogintic]] (80 &amp; 320)
'''7-limit'''<br>
Comma list: 1959552/1953125, 645700815/645657712<br>
Mapping: [{{val|80 127 186 225}}, {{val|0 -1 -1 -2}}]<br>
POTE generator: ~3/2 = 701.940<br>
Vals: 80, 320, 400<br>
Badness: 0.307033<br><br>
'''11-limit'''<br>
Comma list: 9801/9800, 46656/46585, 391314/390625<br>
Mapping: [{{val|80 127 186 225 277}}, {{val|0 -1 -1 -2 -1}}]<br>
POTE generator: ~3/2 = 701.982<br>
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>'''
; [[Ragismic microtemperaments #Seniority|Senator]] (26 &amp; 145)
'''11-limit'''<br>
Comma list: 441/440, 4375/4374, 65536/65219<br>
Mapping: [{{val|1 11 19 2 4}}, {{val|0 -35 -62 3 -2}}]<br>
POTE generator: ~77/64 = 322.793<br>
Vals: 26, 119c, 145, 171, 316e, 487ee<br>
Badness: 0.092238<br><br>
'''13-limit'''<br>
Comma list: 364/363, 441/440, 2200/2197, 4375/4374<br>
Mapping: [{{val|1 11 19 2 4 15}}, {{val|0 -35 -62 3 -2 -42}}]<br>
POTE generator: ~77/64 = 322.793<br>
Vals: 26, 119c, 145, 171, 316ef, 487eef<br>
Badness: 0.044662<br><br>
'''17-limit'''<br>
Comma list: 364/363, 441/440, 595/594, 1156/1155, 2200/2197<br>
Mapping: [{{val|1 11 19 2 4 15 17}}, {{val|0 -35 -62 3 -2 -42 -48}}]<br>
POTE generator: ~77/64 = 322.793<br>
Vals: 26, 119c, 145, 171, 316ef, 487eef<br>
Badness: 0.026562<br><br>
 
'''<font style="font-size: 1.15em">20 October 2021</font>'''
; [[Starling temperaments #Valentine|Hemivalentine]] (30 &amp; 31)
'''13-limit'''<br>
Comma list: 121/120, 126/125, 176/175, 343/338<br>
Mapping: [{{val| 1 1 2 3 3 4 }}, {{val| 0 18 10 -6 14 -9 }}]<br>
POTE generator: ~40/39 = 39.044<br>
Vals: 30, 31, 61, 92f, 123f<br>
Badness: 0.047059<br><br>
; [[Starling temperaments #Valentine|Hemivalentino]] (31 &amp; 123)
'''11-limit'''<br>
Comma list: 126/125, 243/242, 1029/1024<br>
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 &amp; 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>'''
; [[Hemimean clan #Undetrita|Undetritoid]] (111 &amp; 229)
'''13-limit'''<br>
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 &amp; 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>'''
; [[Quindromeda family #Quindro|Quindro]] (205 &amp; 217)
'''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">21 November 2021</font>'''
; [[Octagar temperaments #Tridecatonic|Tridecatonic]] (26 &amp; 39)
'''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 &amp; 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>'''
; [[Quintaleap family #Decimaleap|Decimaleap]] (24 &amp; 121)
'''7-limit'''<br>
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 &amp; 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>'''
; [[Sensamagic clan #Bohpier|Triboh]] (49 &amp; 123)
'''11-limit'''<br>
Comma list: 245/243, 1331/1323, 3125/3087<br>
Mapping: [{{val|1 0 0 0 0}}, {{val|0 39 57 69 85}}]<br>
POTE generator: ~77/75 = 48.828<br>
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">7 December 2021</font>'''
; [[Mabila family #Hemimabila|Hemimabila]] (9 &amp; 68)
'''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 &amp; 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 &amp; 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">Proposed in January 2022</font>===