User:Xenllium: Difference between revisions
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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 | ===<font style="font-size: 1.15em">Proposed in March 2019</font>=== | ||
'''<font style="font-size: 1. | '''<font style="font-size: 1.15em">14 March 2019</font>''' | ||
''' | ; [[Porwell temperaments #Icositritonic|Icositritonic]] (46 & 161) | ||
'''7-limit'''<br> | |||
Comma list: 6144/6125, 9920232/9765625<br> | Comma list: 6144/6125, 9920232/9765625<br> | ||
Mapping: [{{val|23 37 54 64}}, {{val|0 -1 -1 1}}]<br> | Mapping: [{{val|23 37 54 64}}, {{val|0 -1 -1 1}}]<br> | ||
Line 12: | Line 13: | ||
Vals: 23, 46, 115, 161, 207, 368c<br> | Vals: 23, 46, 115, 161, 207, 368c<br> | ||
Badness: 0.196622<br><br> | Badness: 0.196622<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 441/440, 6144/6125, 35937/35840<br> | Comma list: 441/440, 6144/6125, 35937/35840<br> | ||
Mapping: [{{val|23 37 54 64 79}}, {{val|0 -1 -1 1 1}}]<br> | Mapping: [{{val|23 37 54 64 79}}, {{val|0 -1 -1 1 1}}]<br> | ||
Line 18: | Line 19: | ||
Vals: 23, 46, 115, 161, 207, 368c<br> | Vals: 23, 46, 115, 161, 207, 368c<br> | ||
Badness: 0.064613<br><br> | Badness: 0.064613<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 351/350, 441/440, 847/845, 3584/3575<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> | Mapping: [{{val|23 37 54 64 79 84}}, {{val|0 -1 -1 1 1 2}}]<br> | ||
Line 24: | Line 25: | ||
Vals: 46, 115, 161, 207, 368c<br> | Vals: 46, 115, 161, 207, 368c<br> | ||
Badness: 0.040484<br><br> | Badness: 0.040484<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 351/350, 441/440, 561/560, 847/845, 1089/1088<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> | Mapping: [{{val|23 37 54 64 79 84 94}}, {{val|0 -1 -1 1 1 2 0}}]<br> | ||
Line 30: | Line 31: | ||
Vals: 46, 115, 161, 207, 368c<br> | Vals: 46, 115, 161, 207, 368c<br> | ||
Badness: 0.024676<br><br> | Badness: 0.024676<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845<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> | Mapping: [{{val|23 37 54 64 79 84 94 96}}, {{val|0 -1 -1 1 1 2 0 3}}]<br> | ||
Line 36: | Line 37: | ||
Vals: 46, 115, 161, 207, 368c<br> | Vals: 46, 115, 161, 207, 368c<br> | ||
Badness: 0.021579<br><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> | 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> | Mapping: [{{val|23 37 54 64 79 84 94 96 104}}, {{val|0 -1 -1 1 1 2 0 3 0}}]<br> | ||
Line 42: | Line 43: | ||
Vals: 46, 115, 161, 207, 368ci<br> | Vals: 46, 115, 161, 207, 368ci<br> | ||
Badness: 0.017745<br><br> | Badness: 0.017745<br><br> | ||
; [[Counterpyth family #Hemicounterpyth|Hemicounterpyth]] (41 & 328) | |||
(Name revised from ''Tetracontahenatonic'' (7-limit) and ''Tetracontahenic'' (11-limit) on 8 August 2021)< | <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> | Comma list: 2401/2400, 52613349376/52301766015<br> | ||
Mapping: [{{val|41 65 95 115}}, {{val|0 0 2 1}}]<br> | Mapping: [{{val|41 65 95 115}}, {{val|0 0 2 1}}]<br> | ||
Line 50: | Line 51: | ||
Vals: 41, 328, 369, 779<br> | Vals: 41, 328, 369, 779<br> | ||
Badness: 0.134559<br><br> | Badness: 0.134559<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 2401/2400, 16384/16335, 19712/19683<br> | Comma list: 2401/2400, 16384/16335, 19712/19683<br> | ||
Mapping: [{{val|41 65 95 115 142}}, {{val|0 0 2 1 -1}}]<br> | Mapping: [{{val|41 65 95 115 142}}, {{val|0 0 2 1 -1}}]<br> | ||
Line 56: | Line 57: | ||
EDOs: 41, 328, 369<br> | EDOs: 41, 328, 369<br> | ||
Badness: 0.064400<br><br> | Badness: 0.064400<br><br> | ||
; [[Counterpyth family #Hemermapyth|Hemermapyth]] (41 & 410) | |||
(Name revised from ''Tetracontahenatonic'' on 8 August 2021)< | <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> | Comma list: 2401/2400, 59290/59049, 131072/130977<br> | ||
Mapping: [{{val|41 65 95 115 142}}, {{val|0 0 2 1 -2}}]<br> | Mapping: [{{val|41 65 95 115 142}}, {{val|0 0 2 1 -2}}]<br> | ||
Line 64: | Line 65: | ||
EDOs: 41, 328e, 369e, 410, 451, 861e, 2173bcee<br> | EDOs: 41, 328e, 369e, 410, 451, 861e, 2173bcee<br> | ||
Badness: 0.100152<br><br> | Badness: 0.100152<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 2080/2079, 2401/2400, 4096/4095, 59290/59049<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> | Mapping: [{{val|41 65 95 115 142 152}}, {{val|0 0 2 1 -2 -3}}]<br> | ||
Line 70: | Line 71: | ||
EDOs: 41, 410, 451, 861e, 2173bcee<br> | EDOs: 41, 410, 451, 861e, 2173bcee<br> | ||
Badness: 0.060512<br><br> | Badness: 0.060512<br><br> | ||
; [[Mercator family #Schismerc|Pentacontatritonic]] (53 & 265) | |||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 15625/15552, 32805/32768<br> | Comma list: 540/539, 15625/15552, 32805/32768<br> | ||
Mapping: [{{val|53 84 123 149 183}}, {{val|0 0 0 -1 2}}]<br> | Mapping: [{{val|53 84 123 149 183}}, {{val|0 0 0 -1 2}}]<br> | ||
Line 77: | Line 78: | ||
Vals: 53, 159e, 212e, 265, 318, 583c<br> | Vals: 53, 159e, 212e, 265, 318, 583c<br> | ||
Badness: 0.115066<br><br> | Badness: 0.115066<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 540/539, 729/728, 4096/4095, 13750/13689<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> | Mapping: [{{val|53 84 123 149 183 196}}, {{val|0 0 0 -1 2 1}}]<br> | ||
Line 83: | Line 84: | ||
Vals: 53, 159ef, 212ef, 265, 318, 583cf<br> | Vals: 53, 159ef, 212ef, 265, 318, 583cf<br> | ||
Badness: 0.061158<br><br> | Badness: 0.061158<br><br> | ||
; Hectaheptacontahenatonic (171 & 17442) | |||
''' | '''7-limit'''<br> | ||
Comma list: {{monzo|2 -9 21 -13}}, {{monzo|10 -54 12 17}}<br> | 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> | Mapping: [{{val|171 271 397 480}}, {{val|0 3 5 6}}]<br> | ||
Line 91: | Line 92: | ||
Badness: 0.286322<br><br> | Badness: 0.286322<br><br> | ||
'''<font style="font-size: 1.15em">15 March 2019</font>''' | |||
''' | ; [[Mitonismic temperaments #Meridic|Meridic]] (258 & 301) | ||
(Name revised from ''Tetracontatroid'' on 1 May 2021)< | <font style="font-size: 0.85em">(Name revised from ''Tetracontatroid'' on 1 May 2021)</font><br> | ||
''' | '''5-limit'''<br> | ||
Comma: {{monzo|168 -43 -43}}<br> | Comma: {{monzo|168 -43 -43}}<br> | ||
Mapping: [{{val|43 68 100}}, {{val|0 1 -1}}]<br> | Mapping: [{{val|43 68 100}}, {{val|0 1 -1}}]<br> | ||
Line 100: | Line 101: | ||
Vals: 43, 172, 215, 258, 559, 1935, 2494, 3053, 3612<br> | Vals: 43, 172, 215, 258, 559, 1935, 2494, 3053, 3612<br> | ||
Badness: 1.061246<br><br> | Badness: 1.061246<br><br> | ||
''' | '''7-limit'''<br> | ||
Comma list: 5250987/5242880, 2202927104/2197265625<br> | Comma list: 5250987/5242880, 2202927104/2197265625<br> | ||
Mapping: [{{val|43 68 100 121}}, {{val|0 1 -1 -2}}]<br> | Mapping: [{{val|43 68 100 121}}, {{val|0 1 -1 -2}}]<br> | ||
Line 106: | Line 107: | ||
Vals: 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd<br> | Vals: 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd<br> | ||
Badness: 0.230038<br><br> | Badness: 0.230038<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 41503/41472, 172032/171875, 1240029/1239040<br> | Comma list: 41503/41472, 172032/171875, 1240029/1239040<br> | ||
Mapping: [{{val|43 68 100 121 148}}, {{val|0 1 -1 -2 5}}]<br> | Mapping: [{{val|43 68 100 121 148}}, {{val|0 1 -1 -2 5}}]<br> | ||
Line 112: | Line 113: | ||
Vals: 258, 301, 559, 860<br> | Vals: 258, 301, 559, 860<br> | ||
Badness: 0.111149<br><br> | Badness: 0.111149<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 2200/2197, 4096/4095, 21168/21125, 39366/39325<br> | Comma list: 2200/2197, 4096/4095, 21168/21125, 39366/39325<br> | ||
Mapping: [{{val|43 68 100 121 148 159}}, {{val|0 1 -1 -2 5 1}}]<br> | Mapping: [{{val|43 68 100 121 148 159}}, {{val|0 1 -1 -2 5 1}}]<br> | ||
Line 118: | Line 119: | ||
Vals: 258, 301, 559, 860f<br> | Vals: 258, 301, 559, 860f<br> | ||
Badness: 0.071435<br><br> | Badness: 0.071435<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 833/832, 1701/1700, 2200/2197, 4096/4095, 11016/11011<br> | Comma list: 833/832, 1701/1700, 2200/2197, 4096/4095, 11016/11011<br> | ||
Mapping: [{{val|43 68 100 121 148 159 175}}, {{val|0 1 -1 -2 5 1 5}}]<br> | Mapping: [{{val|43 68 100 121 148 159 175}}, {{val|0 1 -1 -2 5 1 5}}]<br> | ||
Line 124: | Line 125: | ||
Vals: 258, 301, 559, 860f<br> | Vals: 258, 301, 559, 860f<br> | ||
Badness: 0.047292<br><br> | Badness: 0.047292<br><br> | ||
; Tetracontaheptatonic (94 & 705) | |||
''' | '''7-limit'''<br> | ||
Comma list: 242137805625/240518168576, 247669456896/247165842875<br> | Comma list: 242137805625/240518168576, 247669456896/247165842875<br> | ||
Mapping: [{{val|47 75 107 133}}, {{val|0 -1 4 -2}}]<br> | Mapping: [{{val|47 75 107 133}}, {{val|0 -1 4 -2}}]<br> | ||
Line 131: | Line 132: | ||
Vals: 94, 611, 705, 799<br> | Vals: 94, 611, 705, 799<br> | ||
Badness: 1.619046<br><br> | Badness: 1.619046<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 24057/24010, 1366875/1362944, 16808715/16777216<br> | Comma list: 24057/24010, 1366875/1362944, 16808715/16777216<br> | ||
Mapping: [{{val|47 75 107 133 161}}, {{val|0 -1 4 -2 3}}]<br> | Mapping: [{{val|47 75 107 133 161}}, {{val|0 -1 4 -2 3}}]<br> | ||
Line 137: | Line 138: | ||
Vals: 94, 611, 705, 799, 893, 1692bc, 2491bbc<br> | Vals: 94, 611, 705, 799, 893, 1692bc, 2491bbc<br> | ||
Badness: 0.280814<br><br> | Badness: 0.280814<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 1575/1573, 24057/24010, 41472/41405, 916839/913952<br> | Comma list: 1575/1573, 24057/24010, 41472/41405, 916839/913952<br> | ||
Mapping: [{{val|47 75 107 133 161 175}}, {{val|0 -1 4 -2 3 -2}}]<br> | Mapping: [{{val|47 75 107 133 161 175}}, {{val|0 -1 4 -2 3 -2}}]<br> | ||
Line 144: | Line 145: | ||
Badness: 0.144341<br><br> | Badness: 0.144341<br><br> | ||
'''<font style="font-size: 1.15em">24 March 2019</font>''' | |||
''' | ; [[Ragismic microtemperaments #Palladium|Palladium]] (46 & 414) | ||
(Name revised from ''Tetracontahexoid'' on 29 April 2021)< | <font style="font-size: 0.85em">(Name revised from ''Tetracontahexoid'' on 29 April 2021)</font><br> | ||
''' | '''7-limit'''<br> | ||
Comma list: 4375/4374, {{monzo|-51 8 2 12}}<br> | Comma list: 4375/4374, {{monzo|-51 8 2 12}}<br> | ||
Mapping: [{{val|46 73 107 129}}, {{val|0 -1 -2 1}}]<br> | Mapping: [{{val|46 73 107 129}}, {{val|0 -1 -2 1}}]<br> | ||
Line 153: | Line 154: | ||
Vals: 46, 368, 414, 460, 874d<br> | Vals: 46, 368, 414, 460, 874d<br> | ||
Badness: 0.308505<br><br> | Badness: 0.308505<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 3025/3024, 9801/9800, 134775333/134217728<br> | Comma list: 3025/3024, 9801/9800, 134775333/134217728<br> | ||
Mapping: [{{val|46 73 107 129 159}}, {{val|0 -1 -2 1 1}}]<br> | Mapping: [{{val|46 73 107 129 159}}, {{val|0 -1 -2 1 1}}]<br> | ||
Line 159: | Line 160: | ||
Vals: 46, 368, 414, 460, 874de<br> | Vals: 46, 368, 414, 460, 874de<br> | ||
Badness: 0.073783<br><br> | Badness: 0.073783<br><br> | ||
''' | '''13-limit</font>''<br> | ||
Comma list: 3025/3024, 4225/4224, 4375/4374, 26411/26364<br> | Comma list: 3025/3024, 4225/4224, 4375/4374, 26411/26364<br> | ||
Mapping: [{{val|46 73 107 129 159 170}}, {{val|0 -1 -2 1 1 2}}]<br> | Mapping: [{{val|46 73 107 129 159 170}}, {{val|0 -1 -2 1 1 2}}]<br> | ||
Line 165: | Line 166: | ||
Vals: 46, 368, 414, 460, 874de, 1334de<br> | Vals: 46, 368, 414, 460, 874de, 1334de<br> | ||
Badness: 0.040751<br><br> | Badness: 0.040751<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 833/832, 1089/1088, 1225/1224, 1701/1700, 4225/4224<br> | Comma list: 833/832, 1089/1088, 1225/1224, 1701/1700, 4225/4224<br> | ||
Mapping: [{{val|46 73 107 129 159 170 188}}, {{val|0 -1 -2 1 1 2 0}}]<br> | Mapping: [{{val|46 73 107 129 159 170 188}}, {{val|0 -1 -2 1 1 2 0}}]<br> | ||
Line 172: | Line 173: | ||
Badness: 0.022441<br><br> | Badness: 0.022441<br><br> | ||
===<font style="font-size: 1.15em">Proposed | ===<font style="font-size: 1.15em">Proposed in April 2019</font>=== | ||
'''<font style="font-size: 1. | '''<font style="font-size: 1.15em">21 April 2019</font>''' | ||
''' | ; [[Wizmic microtemperaments #Tertiathirds|Tertiathirds]] (121 & 270) | ||
'''7-limit'''<br> | |||
Comma list: 420175/419904, 29360128/29296875<br> | Comma list: 420175/419904, 29360128/29296875<br> | ||
Mapping: [{{val|1 -4 2 -6}}, {{val|0 52 3 82}}]<br> | Mapping: [{{val|1 -4 2 -6}}, {{val|0 52 3 82}}]<br> | ||
Line 180: | Line 182: | ||
Vals: 121, 149, 270, 2309c, 2579c, 2849c, 3119bc, 3389bc, 3659bcc, 3929bcc, 4199bcc<br> | Vals: 121, 149, 270, 2309c, 2579c, 2849c, 3119bc, 3389bc, 3659bcc, 3929bcc, 4199bcc<br> | ||
Badness: 0.093005<br><br> | Badness: 0.093005<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 3025/3024, 5632/5625, 117649/117612<br> | Comma list: 3025/3024, 5632/5625, 117649/117612<br> | ||
Mapping: [{{val|1 -4 2 -6 -9}}, {{val|0 52 3 82 116}}]<br> | Mapping: [{{val|1 -4 2 -6 -9}}, {{val|0 52 3 82 116}}]<br> | ||
Line 186: | Line 188: | ||
Vals: 121, 149, 270, 2551bc, 2821bc, 3091bc, 3361bc, 3631bbcc, 3901bbccd, 4171bbccd, 4441bbccd, 4711bbccd<br> | Vals: 121, 149, 270, 2551bc, 2821bc, 3091bc, 3361bc, 3631bbcc, 3901bbccd, 4171bbccd, 4441bbccd, 4711bbccd<br> | ||
Badness: 0.033322<br><br> | Badness: 0.033322<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 676/675, 1716/1715, 3025/3024, 4225/4224<br> | Comma list: 676/675, 1716/1715, 3025/3024, 4225/4224<br> | ||
Mapping: [{{val|1 -4 2 -6 -9 -5}}, {{val|0 52 3 82 116 81}}]<br> | Mapping: [{{val|1 -4 2 -6 -9 -5}}, {{val|0 52 3 82 116 81}}]<br> | ||
Line 192: | Line 194: | ||
Vals: 121, 149, 270, 1741bc, 2011bcf, 2281bcf, 2551bcf, 2821bcf, 3091bcff, 3361bcff<br> | Vals: 121, 149, 270, 1741bc, 2011bcf, 2281bcf, 2551bcf, 2821bcf, 3091bcff, 3361bcff<br> | ||
Badness: 0.019494<br><br> | Badness: 0.019494<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 676/675, 715/714, 1716/1715, 2025/2023, 4225/4224<br> | Comma list: 676/675, 715/714, 1716/1715, 2025/2023, 4225/4224<br> | ||
Mapping: [{{val|1 -4 2 -6 -9 -5 -3}}, {{val|0 52 3 82 116 81 66}}]<br> | Mapping: [{{val|1 -4 2 -6 -9 -5 -3}}, {{val|0 52 3 82 116 81 66}}]<br> | ||
Line 199: | Line 201: | ||
Badness: 0.019107<br><br> | Badness: 0.019107<br><br> | ||
'''<font style="font-size: 1.15em">22 April 2019</font>''' | |||
''' | ; [[Schismatic family #Tertiaschis|Tertiaschis]] (94 & 159) | ||
''' | '''7-limit'''<br> | ||
Comma list: 32805/32768, 1071875/1062882<br> | Comma list: 32805/32768, 1071875/1062882<br> | ||
Mapping: [{{val|1 2 -1 10}}, {{val|0 -3 24 -52}}]<br> | Mapping: [{{val|1 2 -1 10}}, {{val|0 -3 24 -52}}]<br> | ||
Line 207: | Line 209: | ||
Vals: 65, 94, 159, 253, 412cd<br> | Vals: 65, 94, 159, 253, 412cd<br> | ||
Badness: 0.211859<br><br> | Badness: 0.211859<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 385/384, 4000/3993, 19712/19683<br> | Comma list: 385/384, 4000/3993, 19712/19683<br> | ||
Mapping: [{{val|1 2 -1 10 0}}, {{val|0 -3 24 -52 25}}]<br> | Mapping: [{{val|1 2 -1 10 0}}, {{val|0 -3 24 -52 25}}]<br> | ||
Line 213: | Line 215: | ||
Vals: 65, 94, 159, 253, 412cd<br> | Vals: 65, 94, 159, 253, 412cd<br> | ||
Badness: 0.061336<br><br> | Badness: 0.061336<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 325/324, 385/384, 1575/1573, 10985/10976<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> | Mapping: [{{val|1 2 -1 10 0 12}}, {{val|0 -3 24 -52 25 -60}}]<br> | ||
Line 219: | Line 221: | ||
Vals: 65f, 94, 159, 253, 412cdf, 665ccdef<br> | Vals: 65f, 94, 159, 253, 412cdf, 665ccdef<br> | ||
Badness: 0.036700<br><br> | Badness: 0.036700<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 325/324, 375/374, 385/384, 595/594, 10985/10976<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> | Mapping: [{{val|1 2 -1 10 0 12 -2}}, {{val|0 -3 24 -52 25 -60 44}}]<br> | ||
Line 226: | Line 228: | ||
Badness: 0.026504<br><br> | Badness: 0.026504<br><br> | ||
===<font style="font-size: 1.15em">Proposed | ===<font style="font-size: 1.15em">Proposed in March 2021</font>=== | ||
'''<font style="font-size: 1. | '''<font style="font-size: 1.15em">13 March 2021</font>''' | ||
''' | ; [[Tricot family #Trident|Trident]] (53 & 229) | ||
'''7-limit'''<br> | |||
Comma list: 6144/6125, 14348907/14336000<br> | Comma list: 6144/6125, 14348907/14336000<br> | ||
Mapping: [{{val|1 0 -13 25}}, {{val|0 3 29 -42}}]<br> | Mapping: [{{val|1 0 -13 25}}, {{val|0 3 29 -42}}]<br> | ||
Line 234: | Line 237: | ||
Vals: 53, 176, 229, 282, 511<br> | Vals: 53, 176, 229, 282, 511<br> | ||
Badness: 0.101694<br><br> | Badness: 0.101694<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 3388/3375, 6144/6125, 8019/8000<br> | Comma list: 3388/3375, 6144/6125, 8019/8000<br> | ||
Mapping: [{{val|1 0 -13 25 -33}}, {{val|0 3 29 -42 69}}]<br> | Mapping: [{{val|1 0 -13 25 -33}}, {{val|0 3 29 -42 69}}]<br> | ||
Line 240: | Line 243: | ||
Vals: 53, 176, 229<br> | Vals: 53, 176, 229<br> | ||
Badness: 0.074272<br><br> | Badness: 0.074272<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 351/350, 2080/2079, 2197/2187, 3146/3125<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> | Mapping: [{{val|1 0 -13 25 -33 0}}, {{val|0 3 29 -42 69 7}}]<br> | ||
Line 246: | Line 249: | ||
Vals: 53, 176, 229<br> | Vals: 53, 176, 229<br> | ||
Badness: 0.046593<br><br> | Badness: 0.046593<br><br> | ||
; [[Tricot family #Trillium|Trillium]] (53 & 441) | |||
''' | '''7-limit'''<br> | ||
Comma list: 4375/4374, 1099511627776/1098337086315<br> | Comma list: 4375/4374, 1099511627776/1098337086315<br> | ||
Mapping: [{{val|1 0 -13 53}}, {{val|0 3 29 -95}}]<br> | Mapping: [{{val|1 0 -13 53}}, {{val|0 3 29 -95}}]<br> | ||
Line 253: | Line 256: | ||
Vals: 53, 441, 494, 935, 1376, 3193, 4569<br> | Vals: 53, 441, 494, 935, 1376, 3193, 4569<br> | ||
Badness: 0.030852<br><br> | Badness: 0.030852<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 4375/4374, 131072/130977, 759375/758912<br> | Comma list: 4375/4374, 131072/130977, 759375/758912<br> | ||
Mapping: [{{val|1 0 -13 53 -89}}, {{val|0 3 29 -95 175}}]<br> | Mapping: [{{val|1 0 -13 53 -89}}, {{val|0 3 29 -95 175}}]<br> | ||
Line 259: | Line 262: | ||
Vals: 53, 441, 494, 935, 1429<br> | Vals: 53, 441, 494, 935, 1429<br> | ||
Badness: 0.046758<br><br> | Badness: 0.046758<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 2080/2079, 4096/4095, 4375/4374, 78125/78078<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> | Mapping: [{{val|1 0 -13 53 -89 -28}}, {{val|0 3 29 -95 175 60}}]<br> | ||
Line 265: | Line 268: | ||
Vals: 53, 441, 494, 935, 1429<br> | Vals: 53, 441, 494, 935, 1429<br> | ||
Badness: 0.019393<br><br> | Badness: 0.019393<br><br> | ||
; [[Tricot family #Trillium|Pseudotrillium]] (53 & 388) | |||
''' | '''11-limit'''<br> | ||
Comma list: 4375/4374, 5632/5625, 4108797/4096000<br> | Comma list: 4375/4374, 5632/5625, 4108797/4096000<br> | ||
Mapping: [{{val|1 0 -13 53 -61}}, {{val|0 3 29 -95 122}}]<br> | Mapping: [{{val|1 0 -13 53 -61}}, {{val|0 3 29 -95 122}}]<br> | ||
Line 272: | Line 275: | ||
Vals: 53, 335, 388<br> | Vals: 53, 335, 388<br> | ||
Badness: 0.111931<br><br> | Badness: 0.111931<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 847/845, 1001/1000, 4096/4095, 4375/4374<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> | Mapping: [{{val|1 0 -13 53 -61 -28}}, {{val|0 3 29 -95 122 60}}]<br> | ||
Line 278: | Line 281: | ||
Vals: 53, 335, 388<br> | Vals: 53, 335, 388<br> | ||
Badness: 0.054837<br><br> | Badness: 0.054837<br><br> | ||
; [[Tricot family #Tritricot|Tritricot]] (159 & 282) | |||
''' | '''7-limit'''<br> | ||
Comma list: 250047/250000, 11785390260224/11767896353375<br> | Comma list: 250047/250000, 11785390260224/11767896353375<br> | ||
Mapping: [{{val|3 6 19 30}}, {{val|0 -3 -29 -52}}]<br> | Mapping: [{{val|3 6 19 30}}, {{val|0 -3 -29 -52}}]<br> | ||
Line 285: | Line 288: | ||
Vals: 159, 282, 441, 2487, 2928, 3369<br> | Vals: 159, 282, 441, 2487, 2928, 3369<br> | ||
Badness: 0.086081<br><br> | Badness: 0.086081<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 4000/3993, 166698/166375, 200704/200475<br> | Comma list: 4000/3993, 166698/166375, 200704/200475<br> | ||
Mapping: [{{val|3 6 19 30 22}}, {{val|0 -3 -29 -52 -28}}]<br> | Mapping: [{{val|3 6 19 30 22}}, {{val|0 -3 -29 -52 -28}}]<br> | ||
Line 291: | Line 294: | ||
Vals: 159, 282, 441<br> | Vals: 159, 282, 441<br> | ||
Badness: 0.074002<br><br> | Badness: 0.074002<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 1575/1573, 2080/2079, 34398/34375, 43904/43875<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> | Mapping: [{{val|3 6 19 30 22 36}}, {{val|0 -3 -29 -52 -28 -60}}]<br> | ||
Line 297: | Line 300: | ||
Vals: 159, 282, 441<br> | Vals: 159, 282, 441<br> | ||
Badness: 0.035641<br><br> | Badness: 0.035641<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 936/935, 1575/1573, 1701/1700, 2025/2023, 8624/8619<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> | Mapping: [{{val|3 6 19 30 22 36 16}}, {{val|0 -3 -29 -52 -28 -60 -9}}]<br> | ||
Line 304: | Line 307: | ||
Badness: 0.025972<br><br> | Badness: 0.025972<br><br> | ||
'''<font style="font-size: 1.15em">21 March 2021</font>''' | |||
''' | ; [[Cloudy clan #Decic|Decic]] (10 & 50) | ||
''' | '''7-limit'''<br> | ||
Comma list: 225/224, 16807/16384<br> | Comma list: 225/224, 16807/16384<br> | ||
Mapping: [{{val|10 0 39 28}}, {{val|0 1 -1 0}}]<br> | Mapping: [{{val|10 0 39 28}}, {{val|0 1 -1 0}}]<br> | ||
Line 312: | Line 315: | ||
Vals: 10, 50, 60, 110d, 170cdd<br> | Vals: 10, 50, 60, 110d, 170cdd<br> | ||
Badness: 0.089135<br><br> | Badness: 0.089135<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 225/224, 385/384, 3087/3025<br> | Comma list: 225/224, 385/384, 3087/3025<br> | ||
Mapping: [{{val|10 0 39 28 3}}, {{val|0 1 -1 0 2}}]<br> | Mapping: [{{val|10 0 39 28 3}}, {{val|0 1 -1 0 2}}]<br> | ||
Line 318: | Line 321: | ||
Vals: 10, 50<br> | Vals: 10, 50<br> | ||
Badness: 0.063900<br><br> | Badness: 0.063900<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 105/104, 144/143, 196/195, 2200/2197<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> | Mapping: [{{val|10 0 39 28 3 37}}, {{val|0 1 -1 0 2 0}}]<br> | ||
Line 324: | Line 327: | ||
Vals: 10, 50<br> | Vals: 10, 50<br> | ||
Badness: 0.036880<br><br> | Badness: 0.036880<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 105/104, 144/143, 170/169, 196/195, 221/220<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> | Mapping: [{{val|10 0 39 28 3 37 25}}, {{val|0 1 -1 0 2 0 1}}]<br> | ||
Line 331: | Line 334: | ||
Badness: 0.025064<br><br> | Badness: 0.025064<br><br> | ||
'''<font style="font-size: 1.15em">22 March 2021</font>''' | |||
''' | ; [[Meantone family #Cloudtone|Cloudtone]] (5 & 50) | ||
''' | '''7-limit'''<br> | ||
Comma list: 81/80, 16807/16384<br> | Comma list: 81/80, 16807/16384<br> | ||
Mapping: [{{val|5 0 -20 14}}, {{val|0 1 4 0}}]<br> | Mapping: [{{val|5 0 -20 14}}, {{val|0 1 4 0}}]<br> | ||
Line 339: | Line 342: | ||
Vals: 5, 45, 50<br> | Vals: 5, 45, 50<br> | ||
Badness: 0.102256<br><br> | Badness: 0.102256<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 81/80, 385/384, 2401/2376<br> | Comma list: 81/80, 385/384, 2401/2376<br> | ||
Mapping: [{{val|5 0 -20 14 41}}, {{val|0 1 4 0 -3}}]<br> | Mapping: [{{val|5 0 -20 14 41}}, {{val|0 1 4 0 -3}}]<br> | ||
Line 345: | Line 348: | ||
Vals: 5, 45, 50, 155bdd, 205bddd<br> | Vals: 5, 45, 50, 155bdd, 205bddd<br> | ||
Badness: 0.070378<br><br> | Badness: 0.070378<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 81/80, 105/104, 144/143, 2401/2376<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> | Mapping: [{{val|5 0 -20 14 41 -21}}, {{val|0 1 4 0 -3 5}}]<br> | ||
Line 352: | Line 355: | ||
Badness: 0.048829<br><br> | Badness: 0.048829<br><br> | ||
===<font style="font-size: 1.15em">Proposed | ===<font style="font-size: 1.15em">Proposed in April 2021</font>=== | ||
'''<font style="font-size: 1. | '''<font style="font-size: 1.15em">3 April 2021</font>''' | ||
''' | ; [[Pental family #Pental|Pentacloud]] (5 & 60) | ||
'''7-limit'''<br> | |||
Comma list: 245/243, 16807/16384<br> | Comma list: 245/243, 16807/16384<br> | ||
Mapping: [{{val|5 0 -28 14}}, {{val|0 1 5 0}}]<br> | Mapping: [{{val|5 0 -28 14}}, {{val|0 1 5 0}}]<br> | ||
Line 360: | Line 364: | ||
Vals: 5, 60, 65, 125d, 185cdd<br> | Vals: 5, 60, 65, 125d, 185cdd<br> | ||
Badness: 0.120942<br><br> | Badness: 0.120942<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 245/243, 385/384, 3087/3025<br> | Comma list: 245/243, 385/384, 3087/3025<br> | ||
Mapping: [{{val|5 0 -28 14 49}}, {{val|0 1 5 0 -4}}]<br> | Mapping: [{{val|5 0 -28 14 49}}, {{val|0 1 5 0 -4}}]<br> | ||
Line 366: | Line 370: | ||
Vals: 5, 60, 65<br> | Vals: 5, 60, 65<br> | ||
Badness: 0.093248<br><br> | Badness: 0.093248<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 105/104, 144/143, 245/243, 3087/3025<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> | Mapping: [{{val|5 0 -28 14 49 -29}}, {{val|0 1 5 0 -4 6}}]<br> | ||
Line 372: | Line 376: | ||
Vals: 5, 60, 65, 125de, 190ddef<br> | Vals: 5, 60, 65, 125de, 190ddef<br> | ||
Badness: 0.067549<br><br> | Badness: 0.067549<br><br> | ||
; [[Pental family #Hemipental|Hemipental]] (125 & 130) | |||
''' | '''7-limit'''<br> | ||
Comma list: 19683/19600, 589824/588245<br> | Comma list: 19683/19600, 589824/588245<br> | ||
Mapping: [{{val|5 8 12 14}}, {{val|0 -2 -10 1}}]<br> | Mapping: [{{val|5 8 12 14}}, {{val|0 -2 -10 1}}]<br> | ||
Line 379: | Line 383: | ||
Vals: 5, 125, 130, 255, 385<br> | Vals: 5, 125, 130, 255, 385<br> | ||
Badness: 0.104163<br><br> | Badness: 0.104163<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 8019/8000, 180224/180075<br> | Comma list: 540/539, 8019/8000, 180224/180075<br> | ||
Mapping: [{{val|5 8 12 14 18}}, {{val|0 -2 -10 1 -18}}]<br> | Mapping: [{{val|5 8 12 14 18}}, {{val|0 -2 -10 1 -18}}]<br> | ||
Line 385: | Line 389: | ||
Vals: 5e, 125, 130, 255, 385, 640, 1025b<br> | Vals: 5e, 125, 130, 255, 385, 640, 1025b<br> | ||
Badness: 0.047624<br><br> | Badness: 0.047624<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 540/539, 1575/1573, 4096/4095, 8019/8000<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> | Mapping: [{{val|5 8 12 14 18 18}}, {{val|0 -2 -10 1 -18 13}}]<br> | ||
Line 391: | Line 395: | ||
Vals: 5ef, 125, 130, 255, 385, 515, 900ef<br> | Vals: 5ef, 125, 130, 255, 385, 515, 900ef<br> | ||
Badness: 0.041043<br><br> | Badness: 0.041043<br><br> | ||
; [[Qintosec family #Sengasec|Sengasec]] (10 & 55) | |||
''' | '''7-limit'''<br> | ||
Comma list: 686/675, 16807/16384<br> | Comma list: 686/675, 16807/16384<br> | ||
Mapping: [{{val|5 7 13 14}}, {{val|0 2 -3 0}}]<br> | Mapping: [{{val|5 7 13 14}}, {{val|0 2 -3 0}}]<br> | ||
Line 398: | Line 402: | ||
Vals: 10, 55, 65, 140dd, 205ddd, 270ddd<br> | Vals: 10, 55, 65, 140dd, 205ddd, 270ddd<br> | ||
Badness: 0.156259<br><br> | Badness: 0.156259<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 243/242, 385/384, 686/675<br> | Comma list: 243/242, 385/384, 686/675<br> | ||
Mapping: [{{val|5 7 13 14 15}}, {{val|0 2 -3 0 5}}]<br> | Mapping: [{{val|5 7 13 14 15}}, {{val|0 2 -3 0 5}}]<br> | ||
Line 404: | Line 408: | ||
Vals: 10, 55, 65<br> | Vals: 10, 55, 65<br> | ||
Badness: 0.081607<br><br> | Badness: 0.081607<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 105/104, 144/143, 243/242, 686/675<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> | Mapping: [{{val|5 7 13 14 15 19}}, {{val|0 2 -3 0 5 -1}}]<br> | ||
Line 411: | Line 415: | ||
Badness: 0.056390<br><br> | Badness: 0.056390<br><br> | ||
'''<font style="font-size: 1.15em">4 April 2021</font>''' | |||
''' | ; [[Qintosec family #Qintosec|Qinto]] (10 & 75) | ||
''' | '''11-limit'''<br> | ||
Comma list: 225/224, 385/384, 332750/321489<br> | Comma list: 225/224, 385/384, 332750/321489<br> | ||
Mapping: [{{val|5 7 13 15 14}}, {{val|0 2 -3 -2 7}}]<br> | Mapping: [{{val|5 7 13 15 14}}, {{val|0 2 -3 -2 7}}]<br> | ||
Line 420: | Line 424: | ||
Badness: 0.127732<br><br> | Badness: 0.127732<br><br> | ||
'''<font style="font-size: 1.15em">10 April 2021</font>''' | |||
''' | ; [[Ragismic microtemperaments #Monzism|Monzism]] (53 & 559) | ||
''' | '''7-limit'''<br> | ||
Comma list: 4375/4374, {{monzo|-55 30 2 1}}<br> | Comma list: 4375/4374, {{monzo|-55 30 2 1}}<br> | ||
Mapping: [{{val|1 2 10 -25}}, {{val|0 -2 -37 134}}]<br> | Mapping: [{{val|1 2 10 -25}}, {{val|0 -2 -37 134}}]<br> | ||
Line 428: | Line 432: | ||
Vals: 53, 559, 612, 1277, 1889<br> | Vals: 53, 559, 612, 1277, 1889<br> | ||
Badness: 0.046569<br><br> | Badness: 0.046569<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 4375/4374, 41503/41472, 184549376/184528125<br> | Comma list: 4375/4374, 41503/41472, 184549376/184528125<br> | ||
Mapping: [{{val|1 2 10 -25 46}}, {{val|0 -2 -37 134 -205}}]<br> | Mapping: [{{val|1 2 10 -25 46}}, {{val|0 -2 -37 134 -205}}]<br> | ||
Line 434: | Line 438: | ||
Vals: 53, 559, 612<br> | Vals: 53, 559, 612<br> | ||
Badness: 0.057083<br><br> | Badness: 0.057083<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 2200/2197, 4096/4095, 4375/4374, 40656/40625<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> | Mapping: [{{val|1 2 10 -25 46 23}}, {{val|0 -2 -37 134 -205 -93}}]<br> | ||
Line 441: | Line 445: | ||
Badness: 0.053780<br><br> | Badness: 0.053780<br><br> | ||
'''<font style="font-size: 1.15em">18 April 2021</font>''' | |||
''' | ; [[Amity family #Houborizic|Houborizic]] (53 & 113) | ||
''' | '''7-limit'''<br> | ||
Comma list: 225/224, 1250000/1240029<br> | Comma list: 225/224, 1250000/1240029<br> | ||
Mapping: [{{val|1 3 6 13}}, {{val|0 -5 -13 -36}}]<br> | Mapping: [{{val|1 3 6 13}}, {{val|0 -5 -13 -36}}]<br> | ||
Line 449: | Line 453: | ||
Vals: 7d, 46d, 53, 113, 166<br> | Vals: 7d, 46d, 53, 113, 166<br> | ||
Badness: 0.066638<br><br> | Badness: 0.066638<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 225/224, 385/384, 1250000/1240029<br> | Comma list: 225/224, 385/384, 1250000/1240029<br> | ||
Mapping: [{{val|1 3 6 13 -9}}, {{val|0 -5 -13 -36 44}}]<br> | Mapping: [{{val|1 3 6 13 -9}}, {{val|0 -5 -13 -36 44}}]<br> | ||
Line 455: | Line 459: | ||
Vals: 53, 113, 166<br> | Vals: 53, 113, 166<br> | ||
Badness: 0.067891<br><br> | Badness: 0.067891<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 225/224, 325/324, 385/384, 2200/2197<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> | Mapping: [{{val|1 3 6 13 -9 2}}, {{val|0 -5 -13 -36 44 6}}]<br> | ||
Line 461: | Line 465: | ||
Vals: 53, 113, 166<br> | Vals: 53, 113, 166<br> | ||
Badness: 0.032996<br><br> | Badness: 0.032996<br><br> | ||
; [[Amity family #Houborizic|Houbor]] (7d & 53) | |||
''' | '''11-limit'''<br> | ||
Comma list: 121/120, 225/224, 2200/2187<br> | Comma list: 121/120, 225/224, 2200/2187<br> | ||
Mapping: [{{val|1 3 6 13 6}}, {{val|0 -5 -13 -36 -9}}]<br> | Mapping: [{{val|1 3 6 13 6}}, {{val|0 -5 -13 -36 -9}}]<br> | ||
Line 468: | Line 472: | ||
Vals: 7d, 46d, 53, 60e, 113e<br> | Vals: 7d, 46d, 53, 60e, 113e<br> | ||
Badness: 0.045232<br><br> | Badness: 0.045232<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 121/120, 225/224, 275/273, 325/324<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> | Mapping: [{{val|1 3 6 13 6 2}}, {{val|0 -5 -13 -36 -9 6}}]<br> | ||
Line 474: | Line 478: | ||
Vals: 7d, 46d, 53, 60e, 113e<br> | Vals: 7d, 46d, 53, 60e, 113e<br> | ||
Badness: 0.031331<br><br> | Badness: 0.031331<br><br> | ||
; [[Amity family #Gamity|Gamity]] (46 & 113) | |||
''' | '''7-limit'''<br> | ||
Comma list: 1029/1024, 1071875/1062882<br> | Comma list: 1029/1024, 1071875/1062882<br> | ||
Mapping: [{{val|1 -2 -7 4}}, {{val|0 15 39 -5}}]<br> | Mapping: [{{val|1 -2 -7 4}}, {{val|0 15 39 -5}}]<br> | ||
Line 481: | Line 485: | ||
Vals: 46, 113, 159<br> | Vals: 46, 113, 159<br> | ||
Badness: 0.125733<br><br> | Badness: 0.125733<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 385/384, 441/440, 1071875/1062882<br> | Comma list: 385/384, 441/440, 1071875/1062882<br> | ||
Mapping: [{{val|1 -2 -7 4 8}}, {{val|0 15 39 -5 -19}}]<br> | Mapping: [{{val|1 -2 -7 4 8}}, {{val|0 15 39 -5 -19}}]<br> | ||
Line 487: | Line 491: | ||
Vals: 46, 113, 159<br> | Vals: 46, 113, 159<br> | ||
Badness: 0.051111<br><br> | Badness: 0.051111<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 325/324, 364/363, 385/384, 10985/10976<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> | Mapping: [{{val|1 -2 -7 4 8 8}}, {{val|0 15 39 -5 -19 -18}}]<br> | ||
Line 493: | Line 497: | ||
Vals: 46, 113, 159<br> | Vals: 46, 113, 159<br> | ||
Badness: 0.030297<br><br> | Badness: 0.030297<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 273/272, 325/324, 364/363, 385/384, 3773/3757<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> | Mapping: [{{val|1 -2 -7 4 8 8 6}}, {{val|0 15 39 -5 -19 -18 -8}}]<br> | ||
Line 500: | Line 504: | ||
Badness: 0.022036<br><br> | Badness: 0.022036<br><br> | ||
'''<font style="font-size: 1.15em">19 April 2021</font>''' | |||
''' | ; [[Amity family #Familia|Familia]] (113 & 152) | ||
''' | '''7-limit'''<br> | ||
Comma list: 16875/16807, 1600000/1594323<br> | Comma list: 16875/16807, 1600000/1594323<br> | ||
Mapping: [{{val|1 8 19 20}}, {{val|0 -25 -65 -67}}]<br> | Mapping: [{{val|1 8 19 20}}, {{val|0 -25 -65 -67}}]<br> | ||
Line 508: | Line 512: | ||
Vals: 113, 152, 265, 417, 986d<br> | Vals: 113, 152, 265, 417, 986d<br> | ||
Badness: 0.144551<br><br> | Badness: 0.144551<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 1375/1372, 1600000/1594323<br> | Comma list: 540/539, 1375/1372, 1600000/1594323<br> | ||
Mapping: [{{val|1 8 19 20 5}}, {{val|0 -25 -65 -67 -6}}]<br> | Mapping: [{{val|1 8 19 20 5}}, {{val|0 -25 -65 -67 -6}}]<br> | ||
Line 515: | Line 519: | ||
Badness: 0.051740<br><br> | Badness: 0.051740<br><br> | ||
'''<font style="font-size: 1.15em">25 April 2021</font>''' | |||
''' | ; [[Semicomma family #Sabric|Sabric]] (53 & 190) | ||
''' | '''7-limit'''<br> | ||
Comma list: 4375/4374, 2109375/2097152<br> | Comma list: 4375/4374, 2109375/2097152<br> | ||
Mapping: [{{val|1 0 3 -11}}, {{val|0 7 -3 61}}]<br> | Mapping: [{{val|1 0 3 -11}}, {{val|0 7 -3 61}}]<br> | ||
Line 523: | Line 527: | ||
Vals: 53, 137d, 190, 243<br> | Vals: 53, 137d, 190, 243<br> | ||
Badness: 0.088355<br><br> | Badness: 0.088355<br><br> | ||
; [[Semicomma family #Quadrawell|Quadrawell]] (31 & 212) | |||
''' | '''7-limit'''<br> | ||
Comma list: 2401/2400, 2109375/2097152<br> | Comma list: 2401/2400, 2109375/2097152<br> | ||
Mapping: [{{val|1 7 0 3}}, {{val|0 -28 12 -1}}]<br> | Mapping: [{{val|1 7 0 3}}, {{val|0 -28 12 -1}}]<br> | ||
Line 530: | Line 534: | ||
Vals: 31, 119, 150, 181, 212, 243, 698cd, 941cd<br> | Vals: 31, 119, 150, 181, 212, 243, 698cd, 941cd<br> | ||
Badness: 0.075754<br><br> | Badness: 0.075754<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 385/384, 1375/1372, 14641/14580<br> | Comma list: 385/384, 1375/1372, 14641/14580<br> | ||
Mapping: [{{val|1 7 0 3 11}}, {{val|0 -28 12 -1 -39}}]<br> | Mapping: [{{val|1 7 0 3 11}}, {{val|0 -28 12 -1 -39}}]<br> | ||
Line 536: | Line 540: | ||
Vals: 31, 119, 150, 181, 212, 455ee, 667cdee<br> | Vals: 31, 119, 150, 181, 212, 455ee, 667cdee<br> | ||
Badness: 0.036493<br><br> | Badness: 0.036493<br><br> | ||
; [[Ragismic microtemperaments #Sfourth|Sfour]] (45 & 46) | |||
''' | '''11-limit'''<br> | ||
Comma list: 385/384, 2401/2376, 4375/4374<br> | Comma list: 385/384, 2401/2376, 4375/4374<br> | ||
Mapping: [{{val|1 2 3 3 3}}, {{val|0 -19 -31 -9 21}}]<br> | Mapping: [{{val|1 2 3 3 3}}, {{val|0 -19 -31 -9 21}}]<br> | ||
Line 543: | Line 547: | ||
Vals: 45, 46, 91, 137d<br> | Vals: 45, 46, 91, 137d<br> | ||
Badness: 0.076567<br><br> | Badness: 0.076567<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 196/195, 364/363, 385/384, 4375/4374<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> | Mapping: [{{val|1 2 3 3 3 3}}, {{val|0 -19 -31 -9 21 32}}]<br> | ||
Line 550: | Line 554: | ||
Badness: 0.051893<br><br> | Badness: 0.051893<br><br> | ||
'''<font style="font-size: 1.15em">26 April 2021</font>''' | |||
''' | ; [[Semicomma family #Rainwell|Rainwell]] (31 & 265) | ||
''' | '''7-limit'''<br> | ||
Comma list: 16875/16807, 2100875/2097152<br> | Comma list: 16875/16807, 2100875/2097152<br> | ||
Mapping: [{{val|1 14 -3 6}}, {{val|0 -35 15 -9}}]<br> | Mapping: [{{val|1 14 -3 6}}, {{val|0 -35 15 -9}}]<br> | ||
Line 558: | Line 562: | ||
Vals: 31, 172, 203, 234, 265, 296<br> | Vals: 31, 172, 203, 234, 265, 296<br> | ||
Badness: 0.143488<br><br> | Badness: 0.143488<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 1375/1372, 2100875/2097152<br> | Comma list: 540/539, 1375/1372, 2100875/2097152<br> | ||
Mapping: [{{val|1 14 -3 6 29}}, {{val|0 -35 15 -9 -72}}]<br> | Mapping: [{{val|1 14 -3 6 29}}, {{val|0 -35 15 -9 -72}}]<br> | ||
Line 565: | Line 569: | ||
Badness: 0.052774<br><br> | Badness: 0.052774<br><br> | ||
'''<font style="font-size: 1.15em">27 April 2021</font>''' | |||
''' | ; [[Hemimean clan #Sengagen|Sengage]] (49f&50) | ||
''' | '''13-limit'''<br> | ||
Comma list: 144/143, 196/195, 364/363, 625/624<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> | Mapping: [{{val|1 1 2 2 3 3}}, {{val|0 29 16 40 23 35}}]<br> | ||
Line 574: | Line 578: | ||
Badness: 0.037416<br><br> | Badness: 0.037416<br><br> | ||
'''<font style="font-size: 1.15em">30 April 2021</font>''' | |||
''' | ; [[Kleismic family #Marfifths|Marfifths]] (19 & 140) | ||
''' | '''7-limit'''<br> | ||
Comma list: 10976/10935, 15625/15552<br> | Comma list: 10976/10935, 15625/15552<br> | ||
Mapping: [{{val|1 -6 -4 -17}}, {{val|0 18 15 47}}]<br> | Mapping: [{{val|1 -6 -4 -17}}, {{val|0 18 15 47}}]<br> | ||
Line 582: | Line 586: | ||
Vals: 19, 121, 140, 579, 719, 859bcd, 999bcd, 1858bbccdd<br> | Vals: 19, 121, 140, 579, 719, 859bcd, 999bcd, 1858bbccdd<br> | ||
Badness: 0.063448<br><br> | Badness: 0.063448<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 385/384, 6250/6237, 10976/10935<br> | Comma list: 385/384, 6250/6237, 10976/10935<br> | ||
Mapping: [{{val|1 -6 -4 -17 22}}, {{val|0 18 15 47 -44}}]<br> | Mapping: [{{val|1 -6 -4 -17 22}}, {{val|0 18 15 47 -44}}]<br> | ||
Line 588: | Line 592: | ||
Vals: 19, 140, 159, 299<br> | Vals: 19, 140, 159, 299<br> | ||
Badness: 0.058902<br><br> | Badness: 0.058902<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 325/324, 385/384, 625/624, 10976/10935<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> | Mapping: [{{val|1 -6 -4 -17 22 -14}}, {{val|0 18 15 47 -44 42}}]<br> | ||
Line 594: | Line 598: | ||
Vals: 19, 140, 159, 299<br> | Vals: 19, 140, 159, 299<br> | ||
Badness: 0.030082<br><br> | Badness: 0.030082<br><br> | ||
; [[Kleismic family #Marfifths|Diatessic]] (121 & 140) | |||
''' | '''11-limit'''<br> | ||
Comma list: 1375/1372, 2200/2187, 5632/5625<br> | Comma list: 1375/1372, 2200/2187, 5632/5625<br> | ||
Mapping: [{{val|1 -6 -4 -17 -37}}, {{val|0 18 15 47 96}}]<br> | Mapping: [{{val|1 -6 -4 -17 -37}}, {{val|0 18 15 47 96}}]<br> | ||
Line 601: | Line 605: | ||
Vals: 19e, 121, 140, 261, 401, 662bd<br> | Vals: 19e, 121, 140, 261, 401, 662bd<br> | ||
Badness: 0.061172<br><br> | Badness: 0.061172<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 325/324, 352/351, 625/624, 1375/1372<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> | Mapping: [{{val|1 -6 -4 -17 -37 -14}}, {{val|0 18 15 47 96 42}}]<br> | ||
Line 607: | Line 611: | ||
Vals: 19e, 121, 140, 261, 401, 662bd<br> | Vals: 19e, 121, 140, 261, 401, 662bd<br> | ||
Badness: 0.028671<br><br> | Badness: 0.028671<br><br> | ||
; [[Kleismic family #Marfifths|Marf]] (19 & 121) | |||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 896/891, 15625/15552<br> | Comma list: 540/539, 896/891, 15625/15552<br> | ||
Mapping: [{{val|1 -6 -4 -17 14}}, {{val|0 18 15 47 -25}}]<br> | Mapping: [{{val|1 -6 -4 -17 14}}, {{val|0 18 15 47 -25}}]<br> | ||
Line 614: | Line 618: | ||
Vals: 19, 102d, 121<br> | Vals: 19, 102d, 121<br> | ||
Badness: 0.075112<br><br> | Badness: 0.075112<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 325/324, 540/539, 625/624, 896/891<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> | Mapping: [{{val|1 -6 -4 -17 14 -14}}, {{val|0 18 15 47 -25 42}}]<br> | ||
Line 621: | Line 625: | ||
Badness: 0.038317<br><br> | Badness: 0.038317<br><br> | ||
===<font style="font-size: 1.15em">Proposed | ===<font style="font-size: 1.15em">Proposed in May 2021</font>=== | ||
'''<font style="font-size: 1. | '''<font style="font-size: 1.15em">1 May 2021</font>''' | ||
''' | ; [[Stearnsmic clan #Garistearn|Garistearn]] (94 & 282) | ||
'''7-limit'''<br> | |||
Comma list: 118098/117649, 33554432/33480783<br> | Comma list: 118098/117649, 33554432/33480783<br> | ||
Mapping: [{{val|94 149 0 264}}, {{val|0 0 1 0}}]<br> | Mapping: [{{val|94 149 0 264}}, {{val|0 0 1 0}}]<br> | ||
Line 629: | Line 634: | ||
Vals: 94, 282, 658d, 940dd<br> | Vals: 94, 282, 658d, 940dd<br> | ||
Badness: 0.307043<br><br> | Badness: 0.307043<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 4000/3993, 33554432/33480783<br> | Comma list: 540/539, 4000/3993, 33554432/33480783<br> | ||
Mapping: [{{val|94 149 0 264 107}}, {{val|0 0 1 0 1}}]<br> | Mapping: [{{val|94 149 0 264 107}}, {{val|0 0 1 0 1}}]<br> | ||
Line 635: | Line 640: | ||
Vals: 94, 282, 376, 658de<br> | Vals: 94, 282, 376, 658de<br> | ||
Badness: 0.082255<br><br> | Badness: 0.082255<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 540/539, 729/728, 1575/1573, 28672/28561<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> | Mapping: [{{val|94 149 0 264 107 348}}, {{val|0 0 1 0 1 0}}]<br> | ||
Line 641: | Line 646: | ||
Vals: 94, 282<br> | Vals: 94, 282<br> | ||
Badness: 0.045941<br><br> | Badness: 0.045941<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 540/539, 729/728, 1156/1155, 1575/1573, 2880/2873<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> | Mapping: [{{val|94 149 0 264 107 348 166}}, {{val|0 0 1 0 1 0 1}}]<br> | ||
Line 647: | Line 652: | ||
Vals: 94, 282<br> | Vals: 94, 282<br> | ||
Badness: 0.027608<br><br> | Badness: 0.027608<br><br> | ||
; [[Stearnsmic clan #Decistearn|Decistearn]] (80 & 130) | |||
''' | '''7-limit'''<br> | ||
Comma list: 3136/3125, 118098/117649<br> | Comma list: 3136/3125, 118098/117649<br> | ||
Mapping: [{{val|10 17 24 30}}, {{val|0 -3 -2 -5}}]<br> | Mapping: [{{val|10 17 24 30}}, {{val|0 -3 -2 -5}}]<br> | ||
Line 654: | Line 659: | ||
Vals: 50, 80, 130, 470cd, 600cd, 730cd, 860ccd<br> | Vals: 50, 80, 130, 470cd, 600cd, 730cd, 860ccd<br> | ||
Badness: 0.095543<br><br> | Badness: 0.095543<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 3136/3125, 4000/3993<br> | Comma list: 540/539, 3136/3125, 4000/3993<br> | ||
Mapping: [{{val|10 17 24 30 35}}, {{val|0 -3 -2 -5 -1}}]<br> | Mapping: [{{val|10 17 24 30 35}}, {{val|0 -3 -2 -5 -1}}]<br> | ||
Line 660: | Line 665: | ||
Vals: 50, 80, 130, 210e, 340ce<br> | Vals: 50, 80, 130, 210e, 340ce<br> | ||
Badness: 0.038556<br><br> | Badness: 0.038556<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 351/350, 364/363, 540/539, 3136/3125<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> | Mapping: [{{val|10 17 24 30 35 37}}, {{val|0 -3 -2 -5 -1 0}}]<br> | ||
Line 666: | Line 671: | ||
Vals: 50, 80, 130<br> | Vals: 50, 80, 130<br> | ||
Badness: 0.026895<br><br> | Badness: 0.026895<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 221/220, 289/288, 351/350, 540/539, 1632/1625<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> | Mapping: [{{val|10 17 24 30 35 37 42}}, {{val|0 -3 -2 -5 -1 0 -3}}]<br> | ||
Line 672: | Line 677: | ||
Vals: 50, 80, 130<br> | Vals: 50, 80, 130<br> | ||
Badness: 0.024234<br><br> | Badness: 0.024234<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 221/220, 289/288, 351/350, 361/360, 456/455, 476/475<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> | Mapping: [{{val|10 17 24 30 35 37 42 44}}, {{val|0 -3 -2 -5 -1 0 -3 -4}}]<br> | ||
Line 678: | Line 683: | ||
Vals: 50, 80, 130<br> | Vals: 50, 80, 130<br> | ||
Badness: 0.018232<br><br> | Badness: 0.018232<br><br> | ||
; [[Schismatic family #Quadrant|Quadrant]] (12 & 224) | |||
''' | '''7-limit'''<br> | ||
Comma list: 32805/32768, 390625/388962<br> | Comma list: 32805/32768, 390625/388962<br> | ||
Mapping: [{{val|4 6 12 17}}, {{val|0 1 -8 -17}}]<br> | Mapping: [{{val|4 6 12 17}}, {{val|0 1 -8 -17}}]<br> | ||
Line 685: | Line 690: | ||
Vals: 12, 200, 212, 224, 436, 660, 1096c<br> | Vals: 12, 200, 212, 224, 436, 660, 1096c<br> | ||
Badness: 0.110242<br><br> | Badness: 0.110242<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 1375/1372, 6250/6237, 32805/32768<br> | Comma list: 1375/1372, 6250/6237, 32805/32768<br> | ||
Mapping: [{{val|4 6 12 17 23}}, {{val|0 1 -8 -17 -27}}]<br> | Mapping: [{{val|4 6 12 17 23}}, {{val|0 1 -8 -17 -27}}]<br> | ||
Line 691: | Line 696: | ||
Vals: 12, 212, 224, 436, 660<br> | Vals: 12, 212, 224, 436, 660<br> | ||
Badness: 0.045738<br><br> | Badness: 0.045738<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 625/624, 1375/1372, 2080/2079, 10648/10647<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> | Mapping: [{{val|4 6 12 17 23 26}}, {{val|0 1 -8 -17 -27 -33}}]<br> | ||
Line 697: | Line 702: | ||
Vals: 212, 224, 436, 660<br> | Vals: 212, 224, 436, 660<br> | ||
Badness: 0.027243<br><br> | Badness: 0.027243<br><br> | ||
; [[Schismatic family #Quintilischis|Quintilischis]] (12 & 253) | |||
''' | '''7-limit'''<br> | ||
Comma list: 32805/32768, 9765625/9680832<br> | Comma list: 32805/32768, 9765625/9680832<br> | ||
Mapping: [{{val|1 2 -1 -4}}, {{val|0 -5 40 82}}]<br> | Mapping: [{{val|1 2 -1 -4}}, {{val|0 -5 40 82}}]<br> | ||
Line 704: | Line 709: | ||
Vals: 12, 253, 265<br> | Vals: 12, 253, 265<br> | ||
Badness: 0.253966<br><br> | Badness: 0.253966<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 1375/1372, 4375/4356, 32805/32768<br> | Comma list: 1375/1372, 4375/4356, 32805/32768<br> | ||
Mapping: [{{val|1 2 -1 -4 -7}}, {{val|0 -5 40 82 126}}]<br> | Mapping: [{{val|1 2 -1 -4 -7}}, {{val|0 -5 40 82 126}}]<br> | ||
Line 710: | Line 715: | ||
Vals: 12, 253, 265, 518c, 783cc<br> | Vals: 12, 253, 265, 518c, 783cc<br> | ||
Badness: 0.113044<br><br> | Badness: 0.113044<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 1375/1372, 2080/2079, 4375/4356, 10648/10647<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> | Mapping: [{{val|1 2 -1 -4 -7 -9}}, {{val|0 -5 40 82 126 153}}]<br> | ||
Line 716: | Line 721: | ||
Vals: 12f, 253, 518c, 771cc<br> | Vals: 12f, 253, 518c, 771cc<br> | ||
Badness: 0.069127<br><br> | Badness: 0.069127<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 375/374, 595/594, 833/832, 1375/1372, 8624/8619<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> | Mapping: [{{val|1 2 -1 -4 -7 -9 5}}, {{val|0 -5 40 82 126 153 -11}}]<br> | ||
Line 722: | Line 727: | ||
Vals: 12f, 253, 518c, 771cc<br> | Vals: 12f, 253, 518c, 771cc<br> | ||
Badness: 0.045992<br><br> | Badness: 0.045992<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 375/374, 400/399, 495/494, 595/594, 1375/1372, 3978/3971<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> | Mapping: [{{val|1 2 -1 -4 -7 -9 5 4}}, {{val|0 -5 40 82 126 153 -11 3}}]<br> | ||
Line 729: | Line 734: | ||
Badness: 0.038155<br><br> | Badness: 0.038155<br><br> | ||
'''<font style="font-size: 1.15em">2 May 2021</font>''' | |||
''' | ; [[Schismatic family #Pontiac|Helenoid]] (53 & 118) | ||
''' | '''11-limit'''<br> | ||
Comma list: 385/384, 3388/3375, 4375/4374<br> | Comma list: 385/384, 3388/3375, 4375/4374<br> | ||
Mapping: [{{val|1 0 15 -59 51}}, {{val|0 1 -8 39 -30}}]<br> | Mapping: [{{val|1 0 15 -59 51}}, {{val|0 1 -8 39 -30}}]<br> | ||
Line 737: | Line 742: | ||
Vals: 53, 118, 289e, 407de<br> | Vals: 53, 118, 289e, 407de<br> | ||
Badness: 0.038863<br><br> | Badness: 0.038863<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 352/351, 385/384, 625/624, 729/728<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> | Mapping: [{{val|1 0 15 -59 51 56}}, {{val|0 1 -8 39 -30 -33}}]<br> | ||
Line 743: | Line 748: | ||
Vals: 53, 118, 171e<br> | Vals: 53, 118, 171e<br> | ||
Badness: 0.033677<br><br> | Badness: 0.033677<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 352/351, 385/384, 561/560, 625/624, 729/728<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> | Mapping: [{{val|1 0 15 -59 51 56 -91}}, {{val|0 1 -8 39 -30 -33 60}}]<br> | ||
Line 749: | Line 754: | ||
Vals: 53, 118, 171e, 289ef, 460eef<br> | Vals: 53, 118, 171e, 289ef, 460eef<br> | ||
Badness: 0.028891<br><br> | Badness: 0.028891<br><br> | ||
; [[Schismatic family #Pontiac|Ponta]] (53 & 224) | |||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 4375/4374, 32805/32768<br> | Comma list: 540/539, 4375/4374, 32805/32768<br> | ||
Mapping: [{{val|1 0 15 -59 135}}, {{val|0 1 -8 39 -83}}]<br> | Mapping: [{{val|1 0 15 -59 135}}, {{val|0 1 -8 39 -83}}]<br> | ||
Line 756: | Line 761: | ||
Vals: 53, 171, 224, 1291cde, 1515cde, 1739cddee, 1963cddee, 2187ccddee<br> | Vals: 53, 171, 224, 1291cde, 1515cde, 1739cddee, 1963cddee, 2187ccddee<br> | ||
Badness: 0.048692<br><br> | Badness: 0.048692<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 540/539, 625/624, 729/728, 2200/2197<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> | Mapping: [{{val|1 0 15 -59 135 56}}, {{val|0 1 -8 39 -83 -33}}]<br> | ||
Line 762: | Line 767: | ||
Vals: 53, 171, 224<br> | Vals: 53, 171, 224<br> | ||
Badness: 0.023616<br><br> | Badness: 0.023616<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 375/374, 540/539, 625/624, 729/728, 2200/2197<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> | Mapping: [{{val|1 0 15 -59 135 56 -91}}, {{val|0 1 -8 39 -83 -33 60}}]<br> | ||
Line 768: | Line 773: | ||
Vals: 53, 171, 224, 395e, 619eg<br> | Vals: 53, 171, 224, 395e, 619eg<br> | ||
Badness: 0.022853<br><br> | Badness: 0.022853<br><br> | ||
; [[Schismatic family #Pontiac|Pontic]] (118 & 171) | |||
''' | '''11-limit'''<br> | ||
Comma list: 441/440, 4375/4374, 32805/32768<br> | Comma list: 441/440, 4375/4374, 32805/32768<br> | ||
Mapping: [{{val|1 0 15 -59 -136}}, {{val|0 1 -8 39 88}}]<br> | Mapping: [{{val|1 0 15 -59 -136}}, {{val|0 1 -8 39 88}}]<br> | ||
Line 775: | Line 780: | ||
Vals: 53e, 118, 289, 407d, 696d<br> | Vals: 53e, 118, 289, 407d, 696d<br> | ||
Badness: 0.049573<br><br> | Badness: 0.049573<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 441/440, 625/624, 729/728, 3584/3575<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> | Mapping: [{{val|1 0 15 -59 -136 56}}, {{val|0 1 -8 39 88 -33}}]<br> | ||
Line 781: | Line 786: | ||
Vals: 53e, 118, 171, 289f, 460ef<br> | Vals: 53e, 118, 171, 289f, 460ef<br> | ||
Badness: 0.045308<br><br> | Badness: 0.045308<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 441/440, 595/594, 625/624, 729/728, 2880/2873<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> | Mapping: [{{val|1 0 15 -59 -136 56 -91}}, {{val|0 1 -8 39 88 -33 60}}]<br> | ||
Line 787: | Line 792: | ||
Vals: 53e, 118, 171, 289f, 460ef<br> | Vals: 53e, 118, 171, 289f, 460ef<br> | ||
Badness: 0.029618<br><br> | Badness: 0.029618<br><br> | ||
; [[Schismatic family #Pontiac|Bipont]] (118 & 224) | |||
''' | '''11-limit'''<br> | ||
Comma list: 3025/3024, 4375/4374, 32805/32768<br> | Comma list: 3025/3024, 4375/4374, 32805/32768<br> | ||
Mapping: [{{val|2 3 6 -1 2}}, {{val|0 1 -8 39 29}}]<br> | Mapping: [{{val|2 3 6 -1 2}}, {{val|0 1 -8 39 29}}]<br> | ||
Line 794: | Line 799: | ||
Vals: 106, 118, 224, 342, 1592c, 1934ce, 2276cde, 2618cde, 2960cde<br> | Vals: 106, 118, 224, 342, 1592c, 1934ce, 2276cde, 2618cde, 2960cde<br> | ||
Badness: 0.014629<br><br> | Badness: 0.014629<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 625/624, 729/728, 1575/1573, 4096/4095<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> | Mapping: [{{val|2 3 6 -1 2 13}}, {{val|0 1 -8 39 29 -33}}]<br> | ||
Line 800: | Line 805: | ||
Vals: 106, 118, 224, 566f, 790f<br> | Vals: 106, 118, 224, 566f, 790f<br> | ||
Badness: 0.030172<br><br> | Badness: 0.030172<br><br> | ||
; [[Schismatic family #Pontiac|Counterbipont]] (224 & 566) | |||
''' | '''13-limit'''<br> | ||
Comma list: 1716/1715, 2080/2079, 3025/3024, 32805/32768<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> | Mapping: [{{val|2 3 6 -1 2 -6}}, {{val|0 1 -8 39 29 79}}]<br> | ||
Line 807: | Line 812: | ||
Vals: 106f, 118f, 224, 342f, 566, 1356cf, 1922cff<br> | Vals: 106f, 118f, 224, 342f, 566, 1356cf, 1922cff<br> | ||
Badness: 0.025547<br><br> | Badness: 0.025547<br><br> | ||
; [[Schismatic family #Pontiac|Quadrapont]] (224 & 460) | |||
''' | '''13-limit'''<br> | ||
Comma list: 3025/3024, 4225/4224, 4375/4374, 32805/32768<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> | Mapping: [{{val|4 6 12 -2 4 7}}, {{val|0 1 -8 39 29 23}}]<br> | ||
Line 815: | Line 820: | ||
Badness: 0.021025<br><br> | Badness: 0.021025<br><br> | ||
'''<font style="font-size: 1.15em">3 May 2021</font>''' | |||
''' | ; [[Metric microtemperaments #Decimetra|Decimetra]] (50 & 140) | ||
''' | '''7-limit'''<br> | ||
Comma list: 703125/702464, 823543/820125<br> | Comma list: 703125/702464, 823543/820125<br> | ||
Mapping: [{{val|10 15 23 27}}, {{val|0 4 1 5}}]<br> | Mapping: [{{val|10 15 23 27}}, {{val|0 4 1 5}}]<br> | ||
Line 823: | Line 828: | ||
Vals: 50, 90, 140, 330, 470, 800cd<br> | Vals: 50, 90, 140, 330, 470, 800cd<br> | ||
Badness: 0.121818<br><br> | Badness: 0.121818<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 385/384, 9801/9800, 391314/390625<br> | Comma list: 385/384, 9801/9800, 391314/390625<br> | ||
Mapping: [{{val|10 15 23 27 35}}, {{val|0 4 1 5 -2}}]<br> | Mapping: [{{val|10 15 23 27 35}}, {{val|0 4 1 5 -2}}]<br> | ||
Line 829: | Line 834: | ||
Vals: 50, 90, 140, 190, 330e, 520de<br> | Vals: 50, 90, 140, 190, 330e, 520de<br> | ||
Badness: 0.056915<br><br> | Badness: 0.056915<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 385/384, 625/624, 847/845, 4459/4455<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> | Mapping: [{{val|10 15 23 27 35 37}}, {{val|0 4 1 5 -2 0}}]<br> | ||
Line 835: | Line 840: | ||
Vals: 50, 90, 140, 190, 330e<br> | Vals: 50, 90, 140, 190, 330e<br> | ||
Badness: 0.029297<br><br> | Badness: 0.029297<br><br> | ||
; [[Metric microtemperaments #Stockhausenic|Stockhausenic]] (140 & 183) | |||
''' | '''7-limit'''<br> | ||
Comma list: 703125/702464, 4096000/4084101<br> | Comma list: 703125/702464, 4096000/4084101<br> | ||
Mapping: [{{val|1 4 0 -1}}, {{val|0 -26 25 41}}]<br> | Mapping: [{{val|1 4 0 -1}}, {{val|0 -26 25 41}}]<br> | ||
Line 842: | Line 847: | ||
Vals: 43, 97, 140, 183, 323, 786, 1109d, 1432d<br> | Vals: 43, 97, 140, 183, 323, 786, 1109d, 1432d<br> | ||
Badness: 0.088753<br><br> | Badness: 0.088753<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 1375/1372, 5632/5625, 35937/35840<br> | Comma list: 1375/1372, 5632/5625, 35937/35840<br> | ||
Mapping: [{{val|1 4 0 -1 -1}}, {{val|0 -26 25 41 48}}]<br> | Mapping: [{{val|1 4 0 -1 -1}}, {{val|0 -26 25 41 48}}]<br> | ||
Line 848: | Line 853: | ||
Vals: 43, 97e, 140, 183, 323, 506, 829de, 1335ddee<br> | Vals: 43, 97e, 140, 183, 323, 506, 829de, 1335ddee<br> | ||
Badness: 0.056043<br><br> | Badness: 0.056043<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 676/675, 1001/1000, 1375/1372, 4096/4095<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> | Mapping: [{{val|1 4 0 -1 -1 5}}, {{val|0 -26 25 41 48 -14}}]<br> | ||
Line 854: | Line 859: | ||
Vals: 43, 97e, 140, 183, 323, 829def, 1152deef<br> | Vals: 43, 97e, 140, 183, 323, 829def, 1152deef<br> | ||
Badness: 0.029947<br><br> | Badness: 0.029947<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 442/441, 561/560, 676/675, 715/714, 4096/4095<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> | Mapping: [{{val|1 4 0 -1 -1 5 0}}, {{val|0 -26 25 41 48 -14 44}}]<br> | ||
Line 861: | Line 866: | ||
Badness: 0.019205<br><br> | Badness: 0.019205<br><br> | ||
'''<font style="font-size: 1.15em">4 May 2021</font>''' | |||
''' | ; [[Vishnuzmic family #Decavish|Decavish]] (50 & 270) | ||
''' | '''7-limit'''<br> | ||
Comma list: 420175/419904, 2202927104/2197265625<br> | Comma list: 420175/419904, 2202927104/2197265625<br> | ||
Mapping: [{{val|10 13 22 24}}, {{val|0 7 3 10}}]<br> | Mapping: [{{val|10 13 22 24}}, {{val|0 7 3 10}}]<br> | ||
Line 869: | Line 874: | ||
Vals: 50, 220, 270, 1400, 1670, 1940, 2210c, 2480c<br> | Vals: 50, 220, 270, 1400, 1670, 1940, 2210c, 2480c<br> | ||
Badness: 0.114531<br><br> | Badness: 0.114531<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 9801/9800, 41503/41472, 172032/171875<br> | Comma list: 9801/9800, 41503/41472, 172032/171875<br> | ||
Mapping: [{{val|10 13 22 24 35}}, {{val|0 7 3 10 -1}}]<br> | Mapping: [{{val|10 13 22 24 35}}, {{val|0 7 3 10 -1}}]<br> | ||
Line 875: | Line 880: | ||
Vals: 50, 220, 270, 860, 1130, 1400, 3070cd, 4470cde<br> | Vals: 50, 220, 270, 860, 1130, 1400, 3070cd, 4470cde<br> | ||
Badness: 0.036938<br><br> | Badness: 0.036938<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 1001/1000, 4225/4224, 4459/4455, 6656/6655<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> | Mapping: [{{val|10 13 22 24 35 37}}, {{val|0 7 3 10 -1 0}}]<br> | ||
Line 881: | Line 886: | ||
Vals: 50, 220, 270, 590, 860, 1130<br> | Vals: 50, 220, 270, 590, 860, 1130<br> | ||
Badness: 0.021906<br><br> | Badness: 0.021906<br><br> | ||
; [[Bronzismic temperaments #Bronzoid|Bronzoid]] (109 & 142) | |||
''' | '''7-limit'''<br> | ||
Comma list: 2097152/2083725, 52734375/52706752<br> | Comma list: 2097152/2083725, 52734375/52706752<br> | ||
Mapping: [{{val|1 14 -11 -9}}, {{val|0 -41 44 39}}]<br> | Mapping: [{{val|1 14 -11 -9}}, {{val|0 -41 44 39}}]<br> | ||
Line 888: | Line 893: | ||
Vals: 33, 76b, 109, 142, 251<br> | Vals: 33, 76b, 109, 142, 251<br> | ||
Badness: 0.382300<br><br> | Badness: 0.382300<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 1331/1323, 1375/1372, 2097152/2083725<br> | Comma list: 1331/1323, 1375/1372, 2097152/2083725<br> | ||
Mapping: [{{val|1 14 -11 -9 8}}, {{val|0 -41 44 39 -15}}]<br> | Mapping: [{{val|1 14 -11 -9 8}}, {{val|0 -41 44 39 -15}}]<br> | ||
Line 895: | Line 900: | ||
Badness: 0.152568<br><br> | Badness: 0.152568<br><br> | ||
'''<font style="font-size: 1.15em">5 May 2021</font>''' | |||
''' | ; [[Ragismic microtemperaments #Ennealimmal|Ennealimmia]] (171 & 270) | ||
''' | '''11-limit'''<br> | ||
Comma list: 2401/2400, 4375/4374, 131072/130977<br> | Comma list: 2401/2400, 4375/4374, 131072/130977<br> | ||
Mapping: [{{val|9 1 1 12 124}}, {{val|0 2 3 2 -14}}]<br> | Mapping: [{{val|9 1 1 12 124}}, {{val|0 2 3 2 -14}}]<br> | ||
Line 903: | Line 908: | ||
Vals: 99, 171, 270, 711, 981, 1251, 2232e<br> | Vals: 99, 171, 270, 711, 981, 1251, 2232e<br> | ||
Badness: 0.026463<br><br> | Badness: 0.026463<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 2080/2079, 2401/2400, 4096/4095, 4375/4374<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> | Mapping: [{{val|9 1 1 12 124 93}}, {{val|0 2 3 2 -14 -9}}]<br> | ||
Line 910: | Line 915: | ||
Badness: 0.016607<br><br> | Badness: 0.016607<br><br> | ||
'''<font style="font-size: 1.15em">10 May 2021</font>''' | |||
''' | ; [[Ragismic microtemperaments #Parakleismic|Paralytic]] (118 & 217) | ||
(Name revised from ''Paraklein'' on 13 May 2021)< | <font style="font-size: 0.85em">(Name revised from ''Paraklein'' on 13 May 2021)</font><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 441/440, 3136/3125, 4375/4374<br> | Comma list: 441/440, 3136/3125, 4375/4374<br> | ||
Mapping: [{{val|1 5 6 12 25}}, {{val|0 -13 -14 -35 -82}}]<br> | Mapping: [{{val|1 5 6 12 25}}, {{val|0 -13 -14 -35 -82}}]<br> | ||
Line 919: | Line 924: | ||
Vals: 19e, 99e, 118, 217, 335, 552d, 887dd<br> | Vals: 19e, 99e, 118, 217, 335, 552d, 887dd<br> | ||
Badness: 0.036027<br><br> | Badness: 0.036027<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 441/440, 1001/1000, 3136/3125, 4375/4374<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> | Mapping: [{{val|1 5 6 12 25 -16}}, {{val|0 -13 -14 -35 -82 75}}]<br> | ||
Line 926: | Line 931: | ||
Badness: 0.044710<br><br> | Badness: 0.044710<br><br> | ||
'''<font style="font-size: 1.15em">11 May 2021</font>''' | |||
''' | ; [[Hemimage temperaments #Cotoneum|Cotoneum]] (41 & 217) | ||
''' | '''7-limit'''<br> | ||
Comma list: 10976/10935, 823543/819200<br> | Comma list: 10976/10935, 823543/819200<br> | ||
Mapping: [{{val|1 2 -18 -3}}, {{val|0 -1 49 14}}]<br> | Mapping: [{{val|1 2 -18 -3}}, {{val|0 -1 49 14}}]<br> | ||
Line 934: | Line 939: | ||
Vals: 41, 135c, 176, 217, 258, 475<br> | Vals: 41, 135c, 176, 217, 258, 475<br> | ||
Badness: 0.105632<br><br> | Badness: 0.105632<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 441/440, 10976/10935, 16384/16335<br> | Comma list: 441/440, 10976/10935, 16384/16335<br> | ||
Mapping: [{{val|1 2 -18 -3 13}}, {{val|0 -1 49 14 -23}}]<br> | Mapping: [{{val|1 2 -18 -3 13}}, {{val|0 -1 49 14 -23}}]<br> | ||
Line 940: | Line 945: | ||
Vals: 41, 176, 217<br> | Vals: 41, 176, 217<br> | ||
Badness: 0.050966<br><br> | Badness: 0.050966<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 364/363, 441/440, 3584/3575, 10976/10935<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> | Mapping: [{{val|1 2 -18 -3 13 29}}, {{val|0 -1 49 14 -23 -61}}]<br> | ||
Line 946: | Line 951: | ||
Vals: 41, 176, 217<br> | Vals: 41, 176, 217<br> | ||
Badness: 0.036951<br><br> | Badness: 0.036951<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 364/363, 441/440, 595/594, 3584/3575, 8281/8262<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> | Mapping: [{{val|1 2 -18 -3 13 29 41}}, {{val|0 -1 49 14 -23 -61 -89}}]<br> | ||
Line 952: | Line 957: | ||
Vals: 41, 176, 217<br> | Vals: 41, 176, 217<br> | ||
Badness: 0.029495<br><br> | Badness: 0.029495<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 343/342, 364/363, 441/440, 595/594, 1216/1215, 1729/1728<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> | Mapping: [{{val|1 2 -18 -3 13 29 41 -14}}, {{val|0 -1 49 14 -23 -61 -89 44}}]<br> | ||
Line 959: | Line 964: | ||
Badness: 0.021811<br><br> | Badness: 0.021811<br><br> | ||
'''<font style="font-size: 1.15em">12 May 2021</font>''' | |||
''' | ; [[Misty family #Fog|Fog]] (12 & 63) | ||
''' | '''7-limit'''<br> | ||
Comma list: 225/224, 156250/151263<br> | Comma list: 225/224, 156250/151263<br> | ||
Mapping: [{{val|3 5 6 7}}, {{val|0 -1 4 6}}]<br> | Mapping: [{{val|3 5 6 7}}, {{val|0 -1 4 6}}]<br> | ||
Line 967: | Line 972: | ||
Vals: 12, 51, 63, 75<br> | Vals: 12, 51, 63, 75<br> | ||
Badness: 0.086866<br><br> | Badness: 0.086866<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 100/99, 225/224, 2420/2401<br> | Comma list: 100/99, 225/224, 2420/2401<br> | ||
Mapping: [{{val|3 5 6 7 8}}, {{val|0 -1 4 6 10}}]<br> | Mapping: [{{val|3 5 6 7 8}}, {{val|0 -1 4 6 10}}]<br> | ||
Line 973: | Line 978: | ||
Vals: 12, 51, 63, 138de<br> | Vals: 12, 51, 63, 138de<br> | ||
Badness: 0.051348<br><br> | Badness: 0.051348<br><br> | ||
; [[Porwell temperaments #Countermiracle|Countermiracle]] (31 & 145) | |||
''' | '''7-limit'''<br> | ||
Comma list: 6144/6125, 50421/50000<br> | Comma list: 6144/6125, 50421/50000<br> | ||
Mapping: [{{val|1 4 3 3}}, {{val|0 -25 -7 -2}}]<br> | Mapping: [{{val|1 4 3 3}}, {{val|0 -25 -7 -2}}]<br> | ||
Line 980: | Line 985: | ||
Vals: 31, 114, 145, 176, 559cc, 735cc<br> | Vals: 31, 114, 145, 176, 559cc, 735cc<br> | ||
Badness: 0.102326<br><br> | Badness: 0.102326<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 441/440, 3388/3375, 6144/6125<br> | Comma list: 441/440, 3388/3375, 6144/6125<br> | ||
Mapping: [{{val|1 4 3 3 8}}, {{val|0 -25 -7 -2 -47}}]<br> | Mapping: [{{val|1 4 3 3 8}}, {{val|0 -25 -7 -2 -47}}]<br> | ||
Line 987: | Line 992: | ||
Badness: 0.039162<br><br> | Badness: 0.039162<br><br> | ||
'''<font style="font-size: 1.15em">13 May 2021</font>''' | |||
''' | ; [[Ragismic microtemperaments #Parakleismic|Paraklein]] (19e & 118) | ||
''' | '''13-limit'''<br> | ||
Comma list: 196/195, 352/351, 625/624, 729/728<br> | 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> | Mapping: [{{val|1 5 6 12 25 15}}, {{val|0 -13 -14 -35 -82 -43}}]<br> | ||
Line 995: | Line 1,000: | ||
Vals: 19e, 99ef, 118, 217ff, 335ff<br> | Vals: 19e, 99ef, 118, 217ff, 335ff<br> | ||
Badness: 0.037618<br><br> | Badness: 0.037618<br><br> | ||
; [[Porwell temperaments #Countermiracle|Countermiraculous]] (31 & 145) | |||
''' | '''13-limit'''<br> | ||
Comma list: 196/195, 352/351, 1001/1000, 6144/6125<br> | 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> | Mapping: [{{val|1 4 3 3 8 1}}, {{val|0 -25 -7 -2 -47 28}}]<br> | ||
Line 1,002: | Line 1,007: | ||
Vals: 31, 83e, 114e, 145, 321ceff<br> | Vals: 31, 83e, 114e, 145, 321ceff<br> | ||
Badness: 0.039271<br><br> | Badness: 0.039271<br><br> | ||
; [[Porwell temperaments #Countermiracle|Counterbenediction]] (31 & 176) | |||
''' | '''13-limit'''<br> | ||
Comma list: 351/350, 441/440, 3146/3125, 3584/3575<br> | 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> | Mapping: [{{val|1 4 3 3 8 -2}}, {{val|0 -25 -7 -2 -47 59}}]<br> | ||
Line 1,009: | Line 1,014: | ||
Vals: 31, 145f, 176, 207, 383c, 590cc<br> | Vals: 31, 145f, 176, 207, 383c, 590cc<br> | ||
Badness: 0.045569<br><br> | Badness: 0.045569<br><br> | ||
; [[Porwell temperaments #Countermiracle|Counterrevelation]] (31 & 114) | |||
''' | '''11-limit'''<br> | ||
Comma list: 121/120, 176/175, 50421/50000<br> | Comma list: 121/120, 176/175, 50421/50000<br> | ||
Mapping: [{{val|1 4 3 3 5}}, {{val|0 -25 -7 -2 -16}}]<br> | Mapping: [{{val|1 4 3 3 5}}, {{val|0 -25 -7 -2 -16}}]<br> | ||
Line 1,016: | Line 1,021: | ||
Vals: 31, 114, 145e, 176e<br> | Vals: 31, 114, 145e, 176e<br> | ||
Badness: 0.064070<br><br> | Badness: 0.064070<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 121/120, 176/175, 196/195, 13750/13689<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> | Mapping: [{{val|1 4 3 3 5 1}}, {{val|0 -25 -7 -2 -16 28}}]<br> | ||
Line 1,022: | Line 1,027: | ||
Vals: 31, 83, 114, 145e<br> | Vals: 31, 83, 114, 145e<br> | ||
Badness: 0.057497<br><br> | Badness: 0.057497<br><br> | ||
; [[Schismatic family #Septant|Septant]] (224 & 301) | |||
''' | '''7-limit'''<br> | ||
Comma list: 32805/32768, 516560652/514714375<br> | Comma list: 32805/32768, 516560652/514714375<br> | ||
Mapping: [{{val|7 11 17 19}}, {{val|0 1 -8 7}}]<br> | Mapping: [{{val|7 11 17 19}}, {{val|0 1 -8 7}}]<br> | ||
Line 1,029: | Line 1,034: | ||
Vals: 77, 147, 224, 301, 525, 826, 1351<br> | Vals: 77, 147, 224, 301, 525, 826, 1351<br> | ||
Badness: 0.111142<br><br> | Badness: 0.111142<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 3025/3024, 24057/24010, 32805/32768<br> | Comma list: 3025/3024, 24057/24010, 32805/32768<br> | ||
Mapping: [{{val|7 11 17 19 23}}, {{val|0 1 -8 7 13}}]<br> | Mapping: [{{val|7 11 17 19 23}}, {{val|0 1 -8 7 13}}]<br> | ||
Line 1,035: | Line 1,040: | ||
Vals: 77, 147, 224, 301, 525<br> | Vals: 77, 147, 224, 301, 525<br> | ||
Badness: 0.044122<br><br> | Badness: 0.044122<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 729/728, 1716/1715, 2200/2197, 3025/3024<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> | Mapping: [{{val|7 11 17 19 23 26}}, {{val|0 1 -8 7 13 -1}}]<br> | ||
Line 1,041: | Line 1,046: | ||
Vals: 77, 147, 224, 525<br> | Vals: 77, 147, 224, 525<br> | ||
Badness: 0.024706<br><br> | Badness: 0.024706<br><br> | ||
'''<font style="font-size: 1.15em">15 May 2021</font>''' | |||
''' | ; [[Schismatic family #Term|Terminal]] (12 & 159) | ||
''' | '''11-limit'''<br> | ||
Comma list: 441/440, 4375/4356, 32805/32768<br> | Comma list: 441/440, 4375/4356, 32805/32768<br> | ||
Mapping: [{{val|3 5 5 4 4}}, {{val|0 -1 8 18 26}}]<br> | Mapping: [{{val|3 5 5 4 4}}, {{val|0 -1 8 18 26}}]<br> | ||
Line 1,049: | Line 1,054: | ||
Vals: 12, 147de, 159, 330<br> | Vals: 12, 147de, 159, 330<br> | ||
Badness: 0.059502<br><br> | Badness: 0.059502<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 364/363, 441/440, 625/624, 13720/13689<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> | Mapping: [{{val|3 5 5 4 4 3}}, {{val|0 -1 8 18 26 33}}]<br> | ||
Line 1,055: | Line 1,060: | ||
Vals: 12f, 147def, 159, 330<br> | Vals: 12f, 147def, 159, 330<br> | ||
Badness: 0.037082<br><br> | Badness: 0.037082<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 364/363, 375/374, 441/440, 595/594, 8624/8619<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> | Mapping: [{{val|3 5 5 4 4 3 13}}, {{val|0 -1 8 18 26 33 -3}}]<br> | ||
Line 1,061: | Line 1,066: | ||
Vals: 12f, 147def, 159, 171, 330<br> | Vals: 12f, 147def, 159, 171, 330<br> | ||
Badness: 0.027073<br><br> | Badness: 0.027073<br><br> | ||
; [[Schismatic family #Term|Hemiterm]] (12 & 342) | |||
''' | '''11-limit'''<br> | ||
Comma list: 9801/9800, 32805/32768, 151263/151250<br> | Comma list: 9801/9800, 32805/32768, 151263/151250<br> | ||
Mapping: [{{val|6 10 10 8 7}}, {{val|0 -1 8 18 28}}]<br> | Mapping: [{{val|6 10 10 8 7}}, {{val|0 -1 8 18 28}}]<br> | ||
Line 1,069: | Line 1,074: | ||
Badness: 0.029438<br><br> | Badness: 0.029438<br><br> | ||
'''<font style="font-size: 1.15em">18 May 2021</font>''' | |||
''' | ; [[Breedsmic temperaments #Septidiasemi|Sedia]] (10 & 161) | ||
''' | '''11-limit'''<br> | ||
Comma list: 243/242, 441/440, 939524096/935859375<br> | Comma list: 243/242, 441/440, 939524096/935859375<br> | ||
Mapping: [{{val|1 -1 6 4 -3}}, {{val|0 26 -37 -12 65}}]<br> | Mapping: [{{val|1 -1 6 4 -3}}, {{val|0 26 -37 -12 65}}]<br> | ||
Line 1,077: | Line 1,082: | ||
Vals: 10, 151, 161, 171, 332<br> | Vals: 10, 151, 161, 171, 332<br> | ||
Badness: 0.090687<br><br> | Badness: 0.090687<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 243/242, 441/440, 2200/2197, 3584/3575<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> | Mapping: [{{val|1 -1 6 4 -3 4}}, {{val|0 26 -37 -12 65 -3}}]<br> | ||
Line 1,083: | Line 1,088: | ||
Vals: 10, 151, 161, 171, 332, 835eeff<br> | Vals: 10, 151, 161, 171, 332, 835eeff<br> | ||
Badness: 0.045773<br><br> | Badness: 0.045773<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 243/242, 441/440, 833/832, 2200/2197, 3584/3575<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> | Mapping: [{{val|1 -1 6 4 -3 4 2}}, {{val|0 26 -37 -12 65 -3 21}}]<br> | ||
Line 1,090: | Line 1,095: | ||
Badness: 0.027322<br><br> | Badness: 0.027322<br><br> | ||
'''<font style="font-size: 1.15em">21 May 2021</font>''' | |||
''' | ; [[Kleismic family #Marthirds|Marthirds]] (19 & 193) | ||
''' | '''7-limit'''<br> | ||
Comma list: 15625/15552, 2460375/2458624<br> | Comma list: 15625/15552, 2460375/2458624<br> | ||
Mapping: [{{val|1 -6 -4 -19}}, {{val|0 24 20 69}}]<br> | Mapping: [{{val|1 -6 -4 -19}}, {{val|0 24 20 69}}]<br> | ||
Line 1,098: | Line 1,103: | ||
Vals: 19, 193, 212, 617c, 829c<br> | Vals: 19, 193, 212, 617c, 829c<br> | ||
Badness: 0.104253<br><br> | Badness: 0.104253<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 1375/1372, 15625/15552, 19712/19683<br> | Comma list: 1375/1372, 15625/15552, 19712/19683<br> | ||
Mapping: [{{val|1 -6 -4 -19 -43}}, {{val|0 24 20 69 147}}]<br> | Mapping: [{{val|1 -6 -4 -19 -43}}, {{val|0 24 20 69 147}}]<br> | ||
Line 1,104: | Line 1,109: | ||
Vals: 19e, 193, 212, 405, 617c, 1022cce<br> | Vals: 19e, 193, 212, 405, 617c, 1022cce<br> | ||
Badness: 0.075624<br><br> | Badness: 0.075624<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 325/324, 625/624, 1375/1372, 19712/19683<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> | Mapping: [{{val|1 -6 -4 -19 -43 -14}}, {{val|0 24 20 69 147 56}}]<br> | ||
Line 1,111: | Line 1,116: | ||
Badness: 0.043728<br><br> | Badness: 0.043728<br><br> | ||
'''<font style="font-size: 1.15em">22 May 2021</font>''' | |||
''' | ; [[Ragismic microtemperaments #Counterkleismic|Counterkleismic]] (19 & 224) | ||
''' | '''7-limit'''<br> | ||
Comma list: 4375/4374, 158203125/157351936<br> | Comma list: 4375/4374, 158203125/157351936<br> | ||
Mapping: [{{val|1 -5 -4 -18}}, {{val|0 25 24 79}}]<br> | Mapping: [{{val|1 -5 -4 -18}}, {{val|0 25 24 79}}]<br> | ||
Line 1,119: | Line 1,124: | ||
Vals: 19, 205, 224, 243, 467<br> | Vals: 19, 205, 224, 243, 467<br> | ||
Badness: 0.090553<br><br> | Badness: 0.090553<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 4375/4374, 2097152/2096325<br> | Comma list: 540/539, 4375/4374, 2097152/2096325<br> | ||
Mapping: [{{val|1 -5 -4 -18 19}}, {{val|0 25 24 79 -59}}]<br> | Mapping: [{{val|1 -5 -4 -18 19}}, {{val|0 25 24 79 -59}}]<br> | ||
Line 1,125: | Line 1,130: | ||
Vals: 19, 205, 224<br> | Vals: 19, 205, 224<br> | ||
Badness: 0.070952<br><br> | Badness: 0.070952<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 540/539, 625/624, 729/728, 10985/10976<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> | Mapping: [{{val|1 -5 -4 -18 19 -15}}, {{val|0 25 24 79 -59 71}}]<br> | ||
Line 1,131: | Line 1,136: | ||
Vals: 19, 205, 224, 1587cde, 1811ccdef, 2035ccddeef, 2259ccddeef, 2483ccddeef, 2707ccddeef<br> | Vals: 19, 205, 224, 1587cde, 1811ccdef, 2035ccddeef, 2259ccddeef, 2483ccddeef, 2707ccddeef<br> | ||
Badness: 0.033874<br><br> | Badness: 0.033874<br><br> | ||
; [[Ragismic microtemperaments #Counterkleismic|Counterlytic]] (19e & 224) | |||
''' | '''11-limit'''<br> | ||
Comma list: 1375/1372, 4375/4374, 496125/495616<br> | Comma list: 1375/1372, 4375/4374, 496125/495616<br> | ||
Mapping: [{{val|1 -5 -4 -18 -40}}, {{val|0 25 24 79 165}}]<br> | Mapping: [{{val|1 -5 -4 -18 -40}}, {{val|0 25 24 79 165}}]<br> | ||
Line 1,138: | Line 1,143: | ||
Vals: 19e, 205e, 224<br> | Vals: 19e, 205e, 224<br> | ||
Badness: 0.065400<br><br> | Badness: 0.065400<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 625/624, 729/728, 1375/1372, 10985/10976<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> | Mapping: [{{val|1 -5 -4 -18 -40 -15}}, {{val|0 25 24 79 165 71}}]<br> | ||
Line 1,145: | Line 1,150: | ||
Badness: 0.029782<br><br> | Badness: 0.029782<br><br> | ||
'''<font style="font-size: 1.15em">24 May 2021</font>''' | |||
''' | ; [[Metric microtemperaments #Geb|Geb]] (171 & 506) | ||
''' | '''5-limit'''<br> | ||
Comma list: {{monzo|-31 43 -16}}<br> | Comma list: {{monzo|-31 43 -16}}<br> | ||
Mapping: [{{val|1 -3 -10}}, {{val|0 16 43}}]<br> | Mapping: [{{val|1 -3 -10}}, {{val|0 16 43}}]<br> | ||
Line 1,153: | Line 1,158: | ||
Vals: 7, 143c, 150c, 157, 164, 171, 506, 677, 848<br> | Vals: 7, 143c, 150c, 157, 164, 171, 506, 677, 848<br> | ||
Badness: 0.118577<br><br> | Badness: 0.118577<br><br> | ||
''' | '''7-limit'''<br> | ||
Comma list: 703125/702464, 14348907/14336000<br> | Comma list: 703125/702464, 14348907/14336000<br> | ||
Mapping: [{{val|1 -3 -10 -29}}, {{val|0 16 43 111}}]<br> | Mapping: [{{val|1 -3 -10 -29}}, {{val|0 16 43 111}}]<br> | ||
Line 1,160: | Line 1,165: | ||
Badness: 0.048770<br><br> | Badness: 0.048770<br><br> | ||
'''<font style="font-size: 1.15em">26 May 2021</font>''' | |||
''' | ; [[Hewuermera temperaments #Hemidimfi|Hemidimfi]] (130 & 193) | ||
''' | '''7-limit'''<br> | ||
Comma list: 589824/588245, 2460375/2458624<br> | Comma list: 589824/588245, 2460375/2458624<br> | ||
Mapping: [{{val|1 -4 14 -1}}, {{val|0 22 -46 15}}]<br> | Mapping: [{{val|1 -4 14 -1}}, {{val|0 22 -46 15}}]<br> | ||
Line 1,168: | Line 1,173: | ||
Vals: 63, 130, 323, 453, 776<br> | Vals: 63, 130, 323, 453, 776<br> | ||
Badness: 0.083491<br><br> | Badness: 0.083491<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 12005/11979, 16384/16335<br> | Comma list: 540/539, 12005/11979, 16384/16335<br> | ||
Mapping: [{{val|1 -4 14 -1 6}}, {{val|0 22 -46 15 -10}}]<br> | Mapping: [{{val|1 -4 14 -1 6}}, {{val|0 22 -46 15 -10}}]<br> | ||
Line 1,174: | Line 1,179: | ||
Vals: 63, 130, 193, 323e<br> | Vals: 63, 130, 193, 323e<br> | ||
Badness: 0.052236<br><br> | Badness: 0.052236<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 364/363, 540/539, 676/675, 4096/4095<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> | Mapping: [{{val|1 -4 14 -1 6 7}}, {{val|0 22 -46 15 -10 -13}}]<br> | ||
Line 1,181: | Line 1,186: | ||
Badness: 0.030433<br><br> | Badness: 0.030433<br><br> | ||
'''<font style="font-size: 1.15em">29 May 2021</font>''' | |||
''' | ; [[Maquila family #Maquiloid|Maquiloid]] (9 & 56) | ||
''' | '''7-limit'''<br> | ||
Comma list: 686/675, 65625/65536<br> | Comma list: 686/675, 65625/65536<br> | ||
Mapping: [{{val|1 -6 5 -3}}, {{val|0 17 -6 13}}]<br> | Mapping: [{{val|1 -6 5 -3}}, {{val|0 17 -6 13}}]<br> | ||
Line 1,189: | Line 1,194: | ||
Vals: 9, 38b, 47b, 56, 65, 121d, 186dd<br> | Vals: 9, 38b, 47b, 56, 65, 121d, 186dd<br> | ||
Badness: 0.188977<br><br> | Badness: 0.188977<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 245/242, 385/384, 686/675<br> | Comma list: 245/242, 385/384, 686/675<br> | ||
Mapping: [{{val|1 -6 5 -3 -1}}, {{val|0 17 -6 13 10}}]<br> | Mapping: [{{val|1 -6 5 -3 -1}}, {{val|0 17 -6 13 10}}]<br> | ||
Line 1,195: | Line 1,200: | ||
Vals: 9, 38be, 47b, 56, 65, 121d, 186dde<br> | Vals: 9, 38be, 47b, 56, 65, 121d, 186dde<br> | ||
Badness: 0.066234<br><br> | Badness: 0.066234<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 91/90, 169/168, 245/242, 385/384<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> | Mapping: [{{val|1 -6 5 -3 -1 -3}}, {{val|0 17 -6 13 10 15}}]<br> | ||
Line 1,202: | Line 1,207: | ||
Badness: 0.041850<br><br> | Badness: 0.041850<br><br> | ||
'''<font style="font-size: 1.15em">30 May 2021</font>''' | |||
''' | ; [[Amity family #Paramity|Paramity]] (53 & 311) | ||
''' | '''7-limit'''<br> | ||
Comma list: 65625/65536, 1600000/1594323<br> | Comma list: 65625/65536, 1600000/1594323<br> | ||
Mapping: [{{val|1 3 6 -17}}, {{val|0 -5 -13 70}}]<br> | Mapping: [{{val|1 3 6 -17}}, {{val|0 -5 -13 70}}]<br> | ||
Line 1,210: | Line 1,215: | ||
Vals: 53, 205d, 258, 311, 675, 986, 1297c, 2283bc<br> | Vals: 53, 205d, 258, 311, 675, 986, 1297c, 2283bc<br> | ||
Badness: 0.113655<br><br> | Badness: 0.113655<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 6250/6237, 19712/19683, 41503/41472<br> | Comma list: 6250/6237, 19712/19683, 41503/41472<br> | ||
Mapping: [{{val|1 3 6 -17 36}}, {{val|0 -5 -13 70 -115}}]<br> | Mapping: [{{val|1 3 6 -17 36}}, {{val|0 -5 -13 70 -115}}]<br> | ||
Line 1,216: | Line 1,221: | ||
Vals: 53, 205de, 258, 311, 675, 986<br> | Vals: 53, 205de, 258, 311, 675, 986<br> | ||
Badness: 0.064853<br><br> | Badness: 0.064853<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 625/624, 2080/2079, 2200/2197, 19712/19683<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> | Mapping: [{{val|1 3 6 -17 36 17}}, {{val|0 -5 -13 70 -115 -47}}]<br> | ||
Line 1,222: | Line 1,227: | ||
Vals: 53, 205de, 258, 311, 675, 986, 1661cf<br> | Vals: 53, 205de, 258, 311, 675, 986, 1661cf<br> | ||
Badness: 0.030347<br><br> | Badness: 0.030347<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 625/624, 1225/1224, 2080/2079, 2200/2197, 2431/2430<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> | Mapping: [{{val|1 3 6 -17 36 17 -31}}, {{val|0 -5 -13 70 -115 -47 124}}]<br> | ||
Line 1,228: | Line 1,233: | ||
Vals: 53, 205deg, 258g, 311, 675, 1661cf, 2336bccf, 3011bccf<br> | Vals: 53, 205deg, 258g, 311, 675, 1661cf, 2336bccf, 3011bccf<br> | ||
Badness: 0.024118<br><br> | Badness: 0.024118<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 625/624, 1225/1224, 1540/1539, 1729/1728, 2080/2079, 2200/2197<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> | Mapping: [{{val|1 3 6 -17 36 17 -31 15}}, {{val|0 -5 -13 70 -115 -47 124 -38}}]<br> | ||
Line 1,235: | Line 1,240: | ||
Badness: 0.017420<br><br> | Badness: 0.017420<br><br> | ||
===<font style="font-size: 1.15em">Proposed | ===<font style="font-size: 1.15em">Proposed in June 2021</font>=== | ||
'''<font style="font-size: 1. | '''<font style="font-size: 1.15em">1 June 2021</font>''' | ||
''' | ; [[Tritrizo clan #Schisennealimmal|Schisennealimmal]] (171 & 342) | ||
'''11-limit'''<br> | |||
Comma list: 2401/2400, 4375/4374, 32805/32768<br> | Comma list: 2401/2400, 4375/4374, 32805/32768<br> | ||
Mapping: [{{val|171 271 397 480 0}}, {{val|0 0 0 0 1}}]<br> | Mapping: [{{val|171 271 397 480 0}}, {{val|0 0 0 0 1}}]<br> | ||
Line 1,243: | Line 1,249: | ||
Vals: 171, 342<br> | Vals: 171, 342<br> | ||
Badness: 0.031739<br><br> | Badness: 0.031739<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 625/624, 729/728, 2205/2197, 2401/2400<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> | Mapping: [{{val|171 271 397 480 0 633}}, {{val|0 0 0 0 1 0}}]<br> | ||
Line 1,249: | Line 1,255: | ||
Vals: 171, 342, 855ff, 1197fff<br> | Vals: 171, 342, 855ff, 1197fff<br> | ||
Badness: 0.054029<br><br> | Badness: 0.054029<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 625/624, 729/728, 833/832, 1225/1224, 2205/2197<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> | Mapping: [{{val|171 271 397 480 0 633 699}}, {{val|0 0 0 0 1 0 0}}]<br> | ||
Line 1,255: | Line 1,261: | ||
Vals: 171, 342, 855ff, 1197fff<br> | Vals: 171, 342, 855ff, 1197fff<br> | ||
Badness: 0.031323<br><br> | Badness: 0.031323<br><br> | ||
; [[Tritrizo clan #Schisennealimmic|Schisennealimmic]] (171 & 513) | |||
''' | '''13-limit'''<br> | ||
Comma list: 2080/2079, 2401/2400, 4375/4374, 32805/32768<br> | 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> | Mapping: [{{val|171 271 397 480 0 41}}, {{val|0 0 0 0 1 1}}]<br> | ||
Line 1,262: | Line 1,268: | ||
Vals: 171, 342f, 513, 855f<br> | Vals: 171, 342f, 513, 855f<br> | ||
Badness: 0.046843<br><br> | Badness: 0.046843<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 936/935, 1225/1224, 1701/1700, 2025/2023, 11271/11264<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> | Mapping: [{{val|171 271 397 480 0 41 699}}, {{val|0 0 0 0 1 1 0}}]<br> | ||
Line 1,269: | Line 1,275: | ||
Badness: 0.030622<br><br> | Badness: 0.030622<br><br> | ||
'''<font style="font-size: 1.15em">2 June 2021</font>''' | |||
''' | ; [[Compton family #Decades|Decades]] (36 & 72) | ||
''' | '''7-limit'''<br> | ||
Comma list: 1029/1024, 118098/117649<br> | Comma list: 1029/1024, 118098/117649<br> | ||
Mapping: [{{val|36 57 0 101}}, {{val|0 0 1 0}}]<br> | Mapping: [{{val|36 57 0 101}}, {{val|0 0 1 0}}]<br> | ||
Line 1,277: | Line 1,283: | ||
Vals: 36, 72, 252, 324bd, 396bd<br> | Vals: 36, 72, 252, 324bd, 396bd<br> | ||
Badness: 0.108016<br><br> | Badness: 0.108016<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 1029/1024, 4000/3993<br> | Comma list: 540/539, 1029/1024, 4000/3993<br> | ||
Mapping: [{{val|36 57 0 101 41}}, {{val|0 0 1 0 1}}]<br> | Mapping: [{{val|36 57 0 101 41}}, {{val|0 0 1 0 1}}]<br> | ||
Line 1,284: | Line 1,290: | ||
Badness: 0.043088<br><br> | Badness: 0.043088<br><br> | ||
'''<font style="font-size: 1.15em">3 June 2021</font>''' | |||
''' | ; [[Tritrizo clan #Undecentic|Undecentic]] (99 & 198) | ||
''' | '''11-limit'''<br> | ||
Comma list: 2401/2400, 3136/3125, 4375/4374<br> | Comma list: 2401/2400, 3136/3125, 4375/4374<br> | ||
Mapping: [{{val|99 157 230 278 0}}, {{val|0 0 0 0 1}}]<br> | Mapping: [{{val|99 157 230 278 0}}, {{val|0 0 0 0 1}}]<br> | ||
Line 1,292: | Line 1,298: | ||
Vals: 99e, 198, 297e, 495ce<br> | Vals: 99e, 198, 297e, 495ce<br> | ||
Badness: 0.058801<br><br> | Badness: 0.058801<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 352/351, 847/845, 2401/2400, 3136/3125<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> | Mapping: [{{val|99 157 230 278 0 24}}, {{val|0 0 0 0 1 1}}]<br> | ||
Line 1,299: | Line 1,305: | ||
Badness: 0.042547<br><br> | Badness: 0.042547<br><br> | ||
'''<font style="font-size: 1.15em">5 June 2021</font>''' | |||
''' | ; [[Cloudy clan #Pentadecal|Pentadecal]] (15 & 60) | ||
''' | '''7-limit'''<br> | ||
Comma list: 875/864, 16807/16384<br> | Comma list: 875/864, 16807/16384<br> | ||
Mapping: [{{val|15 0 11 42}}, {{val|0 1 1 0}}]<br> | Mapping: [{{val|15 0 11 42}}, {{val|0 1 1 0}}]<br> | ||
Line 1,307: | Line 1,313: | ||
Vals: 15, 45, 60<br> | Vals: 15, 45, 60<br> | ||
Badness: 0.114833<br><br> | Badness: 0.114833<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 100/99, 385/384, 1372/1331<br> | Comma list: 100/99, 385/384, 1372/1331<br> | ||
Mapping: [{{val|15 0 11 42 52}}, {{val|0 1 1 0 0}}]<br> | Mapping: [{{val|15 0 11 42 52}}, {{val|0 1 1 0 0}}]<br> | ||
Line 1,313: | Line 1,319: | ||
Vals: 15, 45, 60, 75de, 135de<br> | Vals: 15, 45, 60, 75de, 135de<br> | ||
Badness: 0.077420<br><br> | Badness: 0.077420<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 100/99, 105/104, 144/143, 1372/1331<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> | Mapping: [{{val|15 0 11 42 52 8}}, {{val|0 1 1 0 0 2}}]<br> | ||
Line 1,320: | Line 1,326: | ||
Badness: 0.051740<br><br> | Badness: 0.051740<br><br> | ||
'''<font style="font-size: 1.15em">9 June 2021</font>''' | |||
''' | ; [[Cloudy clan #Quinkee|Quinkee]] (15 & 55) | ||
''' | '''7-limit'''<br> | ||
Comma list: 1029/1000, 6144/6125<br> | Comma list: 1029/1000, 6144/6125<br> | ||
Mapping: [{{val|5 9 12 14}}, {{val|0 -3 -1 0}}]<br> | Mapping: [{{val|5 9 12 14}}, {{val|0 -3 -1 0}}]<br> | ||
Line 1,328: | Line 1,334: | ||
Vals: 15, 40, 55, 125cd, 180ccdd<br> | Vals: 15, 40, 55, 125cd, 180ccdd<br> | ||
Badness: 0.184222<br><br> | Badness: 0.184222<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 121/120, 176/175, 1029/1000<br> | Comma list: 121/120, 176/175, 1029/1000<br> | ||
Mapping: [{{val|5 9 12 14 18}}, {{val|0 -3 -1 0 -2}}]<br> | Mapping: [{{val|5 9 12 14 18}}, {{val|0 -3 -1 0 -2}}]<br> | ||
Line 1,334: | Line 1,340: | ||
Vals: 15, 40, 55, 125cd, 180ccdde<br> | Vals: 15, 40, 55, 125cd, 180ccdde<br> | ||
Badness: 0.065192<br><br> | Badness: 0.065192<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 66/65, 105/104, 121/120, 637/625<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> | Mapping: [{{val|5 9 12 14 18 20}}, {{val|0 -3 -1 0 -2 -4}}]<br> | ||
Line 1,341: | Line 1,347: | ||
Badness: 0.048440<br><br> | Badness: 0.048440<br><br> | ||
'''<font style="font-size: 1.15em">10 June 2021</font>''' | |||
''' | ; [[Ditonmic family #Coditone|Coditonic]] (3de & 53) | ||
(''Proposed name for disambiguation of coditone extension'')< | <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> | Comma list: 99/98, 176/175, 6655/6561<br> | ||
Mapping: [{{val|1 6 3 13 15}}, {{val|0 -13 -2 -30 -34}}]<br> | Mapping: [{{val|1 6 3 13 15}}, {{val|0 -13 -2 -30 -34}}]<br> | ||
Line 1,350: | Line 1,356: | ||
Vals: 3de, 50e, 53<br> | Vals: 3de, 50e, 53<br> | ||
Badness: 0.063876<br><br> | Badness: 0.063876<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 99/98, 176/175, 325/324, 847/845<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> | Mapping: [{{val|1 6 3 13 15 20}}, {{val|0 -13 -2 -30 -34 -48}}]<br> | ||
Line 1,357: | Line 1,363: | ||
Badness: 0.043989<br><br> | Badness: 0.043989<br><br> | ||
'''<font style="font-size: 1.15em">27 June 2021</font>''' | |||
''' | ; [[Landscape microtemperaments #Terture|Terture]] (111 & 159) | ||
''' | '''7-limit'''<br> | ||
Comma list: 250047/250000, 359661568/358722675<br> | Comma list: 250047/250000, 359661568/358722675<br> | ||
Mapping: [{{val|3 4 3 2}}, {{val|0 4 21 34}}]<br> | Mapping: [{{val|3 4 3 2}}, {{val|0 4 21 34}}]<br> | ||
Line 1,365: | Line 1,371: | ||
Vals: 111, 159, 270<br> | Vals: 111, 159, 270<br> | ||
Badness: 0.087156<br><br> | Badness: 0.087156<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 3025/3024, 19712/19683, 102487/102400<br> | Comma list: 3025/3024, 19712/19683, 102487/102400<br> | ||
Mapping: [{{val|3 4 3 2 10}}, {{val|0 4 21 34 2}}]<br> | Mapping: [{{val|3 4 3 2 10}}, {{val|0 4 21 34 2}}]<br> | ||
Line 1,371: | Line 1,377: | ||
Vals: 111, 159, 270, 1239, 1509, 1779, 2049, 2319<br> | Vals: 111, 159, 270, 1239, 1509, 1779, 2049, 2319<br> | ||
Badness: 0.029326<br><br> | Badness: 0.029326<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 676/675, 1001/1000, 3025/3024, 10985/10976<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> | Mapping: [{{val|3 4 3 2 10 6}}, {{val|0 4 21 34 2 27}}]<br> | ||
Line 1,377: | Line 1,383: | ||
Vals: 111, 159, 270<br> | Vals: 111, 159, 270<br> | ||
Badness: 0.018647<br><br> | Badness: 0.018647<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 676/675, 715/714, 936/935, 1001/1000, 4928/4913<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> | Mapping: [{{val|3 4 3 2 10 6 10}}, {{val|0 4 21 34 2 27 12}}]<br> | ||
Line 1,383: | Line 1,389: | ||
Vals: 111, 159, 270<br> | Vals: 111, 159, 270<br> | ||
Badness: 0.018705<br><br> | Badness: 0.018705<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 676/675, 715/714, 936/935, 1001/1000, 1216/1215, 1617/1615<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> | Mapping: [{{val|3 4 3 2 10 6 10 5}}, {{val|0 4 21 34 2 27 12 41}}]<br> | ||
Line 1,389: | Line 1,395: | ||
Vals: 111, 159, 270<br> | Vals: 111, 159, 270<br> | ||
Badness: 0.013902<br><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> | 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> | Mapping: [{{val|3 4 3 2 10 6 10 5 13}}, {{val|0 4 21 34 2 27 12 41 3}}]<br> | ||
Line 1,395: | Line 1,401: | ||
Vals: 111, 159, 270<br> | Vals: 111, 159, 270<br> | ||
Badness: 0.014915<br><br> | Badness: 0.014915<br><br> | ||
; [[Vulture family #Septimal vulture|Semivulture]] (106 & 164) | |||
''' | '''11-limit'''<br> | ||
Comma list: 3025/3024, 4375/4374, 33554432/33480783<br> | Comma list: 3025/3024, 4375/4374, 33554432/33480783<br> | ||
Mapping: [{{val|2 4 9 -6 -2}}, {{val|0 -4 -21 56 43}}]<br> | Mapping: [{{val|2 4 9 -6 -2}}, {{val|0 -4 -21 56 43}}]<br> | ||
Line 1,402: | Line 1,408: | ||
Vals: 106, 164, 270<br> | Vals: 106, 164, 270<br> | ||
Badness: 0.040799<br><br> | Badness: 0.040799<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 676/675, 3025/3024, 4096/4095, 4375/4374<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> | Mapping: [{{val|2 4 9 -6 -2 13}}, {{val|0 -4 -21 56 43 -27}}]<br> | ||
Line 1,408: | Line 1,414: | ||
Vals: 106, 164, 270<br> | Vals: 106, 164, 270<br> | ||
Badness: 0.035458<br><br> | Badness: 0.035458<br><br> | ||
; [[Vulture family #Eagle|Eagle]] (58 & 212) | |||
''' | '''7-limit'''<br> | ||
Comma list: 2401/2400, 10485760000/10460353203<br> | Comma list: 2401/2400, 10485760000/10460353203<br> | ||
Mapping: [{{val|2 4 9 8}}, {{val|0 -8 -42 -23}}]<br> | Mapping: [{{val|2 4 9 8}}, {{val|0 -8 -42 -23}}]<br> | ||
Line 1,415: | Line 1,421: | ||
Vals: 58, 212, 270, 752, 1022, 1292, 2854b<br> | Vals: 58, 212, 270, 752, 1022, 1292, 2854b<br> | ||
Badness: 0.059498<br><br> | Badness: 0.059498<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 2401/2400, 9801/9800, 19712/19683<br> | Comma list: 2401/2400, 9801/9800, 19712/19683<br> | ||
Mapping: [{{val|2 4 9 8 12}}, {{val|0 -8 -42 -23 -49}}]<br> | Mapping: [{{val|2 4 9 8 12}}, {{val|0 -8 -42 -23 -49}}]<br> | ||
Line 1,421: | Line 1,427: | ||
Vals: 58, 212, 270<br> | Vals: 58, 212, 270<br> | ||
Badness: 0.024885<br><br> | Badness: 0.024885<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 676/675, 1001/1000, 1716/1715, 10648/10647<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> | Mapping: [{{val|2 4 9 8 12 13}}, {{val|0 -8 -42 -23 -49 -54}}]<br> | ||
Line 1,427: | Line 1,433: | ||
Vals: 58, 212, 270<br> | Vals: 58, 212, 270<br> | ||
Badness: 0.016282<br><br> | Badness: 0.016282<br><br> | ||
; [[Schismic-Pythagorean equivalence continuum|Quindromeda]] (12&193) | |||
''' | '''5-limit'''<br> | ||
Comma: {{monzo|56 -28 -5}}<br> | Comma: {{monzo|56 -28 -5}}<br> | ||
Mapping: [{{val|1 2 0}}, {{val|0 -5 28}}]<br> | Mapping: [{{val|1 2 0}}, {{val|0 -5 28}}]<br> | ||
Line 1,434: | Line 1,440: | ||
Vals: 12, 169, 181, 193, 205, 217, 422<br> | Vals: 12, 169, 181, 193, 205, 217, 422<br> | ||
Badness: 0.399849<br><br> | Badness: 0.399849<br><br> | ||
; [[Hemifamity temperaments #Quintakwai|Quintakwai]] (12&193) | |||
''' | '''7-limit'''<br> | ||
Comma list: 5120/5103, 9765625/9680832<br> | Comma list: 5120/5103, 9765625/9680832<br> | ||
Mapping: [{{val|1 2 0 -2}}, {{val|0 -5 28 58}}]<br> | Mapping: [{{val|1 2 0 -2}}, {{val|0 -5 28 58}}]<br> | ||
Line 1,441: | Line 1,447: | ||
Vals: 12, 169, 181, 193<br> | Vals: 12, 169, 181, 193<br> | ||
Badness: 0.155536<br><br> | Badness: 0.155536<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 1375/1372, 4375/4356, 5120/5103<br> | Comma list: 1375/1372, 4375/4356, 5120/5103<br> | ||
Mapping: [{{val|1 2 0 -2 -4}}, {{val|0 -5 28 58 90}}]<br> | Mapping: [{{val|1 2 0 -2 -4}}, {{val|0 -5 28 58 90}}]<br> | ||
Line 1,447: | Line 1,453: | ||
Vals: 12, 181, 193, 374, 567ce<br> | Vals: 12, 181, 193, 374, 567ce<br> | ||
Badness: 0.073158<br><br> | Badness: 0.073158<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 325/324, 1375/1372, 1575/1573, 4096/4095<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> | Mapping: [{{val|1 2 0 -2 -4 10}}, {{val|0 -5 28 58 90 -76}}]<br> | ||
Line 1,453: | Line 1,459: | ||
Vals: 12, 181, 193, 374, 567ce, 941bce<br> | Vals: 12, 181, 193, 374, 567ce, 941bce<br> | ||
Badness: 0.062737<br><br> | Badness: 0.062737<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 325/324, 375/374, 595/594, 1275/1274, 4096/4095<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> | Mapping: [{{val|1 2 0 -2 -4 10 5}}, {{val|0 -5 28 58 90 -76 -11}}]<br> | ||
Line 1,459: | Line 1,465: | ||
Vals: 12, 181, 193, 374, 567ce, 941bceg<br> | Vals: 12, 181, 193, 374, 567ce, 941bceg<br> | ||
Badness: 0.037855<br><br> | Badness: 0.037855<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 325/324, 375/374, 400/399, 595/594, 1216/1215, 1275/1274<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> | Mapping: [{{val|1 2 0 -2 -4 10 5 4}}, {{val|0 -5 28 58 90 -76 -11 3}}]<br> | ||
Line 1,465: | Line 1,471: | ||
Vals: 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh<br> | Vals: 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh<br> | ||
Badness: 0.025861<br><br> | Badness: 0.025861<br><br> | ||
; [[Hemimean clan #Quintagar|Quintagar]] (12&217) | |||
(Name revised from ''Quintoneum'' on 30 June 2021)< | <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> | Comma list: 3136/3125, 33554432/33480783<br> | ||
Mapping: [{{val|1 2 0 -3}}, {{val|0 -5 28 70}}]<br> | Mapping: [{{val|1 2 0 -3}}, {{val|0 -5 28 70}}]<br> | ||
Line 1,473: | Line 1,479: | ||
Vals: 12, 217, 229, 446, 675c<br> | Vals: 12, 217, 229, 446, 675c<br> | ||
Badness: 0.142897<br><br> | Badness: 0.142897<br><br> | ||
; [[Hemimean clan #Quintagar|Quintoneum]] (12&217) | |||
''' | '''11-limit'''<br> | ||
Comma list: 441/440, 3136/3125, 7168000/7144929<br> | Comma list: 441/440, 3136/3125, 7168000/7144929<br> | ||
Mapping: [{{val|1 2 0 -3 -5}}, {{val|0 -5 28 70 102}}]<br> | Mapping: [{{val|1 2 0 -3 -5}}, {{val|0 -5 28 70 102}}]<br> | ||
Line 1,480: | Line 1,486: | ||
Vals: 12, 205d, 217<br> | Vals: 12, 205d, 217<br> | ||
Badness: 0.087157<br><br> | Badness: 0.087157<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 364/363, 441/440, 3136/3125, 13720/13689<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> | Mapping: [{{val|1 2 0 -3 -5 -7}}, {{val|0 -5 28 70 102 129}}]<br> | ||
Line 1,486: | Line 1,492: | ||
Vals: 12f, 205df, 217<br> | Vals: 12f, 205df, 217<br> | ||
Badness: 0.052361<br><br> | Badness: 0.052361<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 364/363, 441/440, 595/594, 3136/3125, 3757/3750<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> | Mapping: [{{val|1 2 0 -3 -5 -7 5}}, {{val|0 -5 28 70 102 129 -11}}]<br> | ||
Line 1,492: | Line 1,498: | ||
Vals: 12f, 205df, 217<br> | Vals: 12f, 205df, 217<br> | ||
Badness: 0.035653<br><br> | Badness: 0.035653<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 364/363, 441/440, 476/475, 595/594, 1216/1215, 3757/3750<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> | Mapping: [{{val|1 2 0 -3 -5 -7 5 4}}, {{val|0 -5 28 70 102 129 -11 3}}]<br> | ||
Line 1,498: | Line 1,504: | ||
Vals: 12f, 205df, 217<br> | Vals: 12f, 205df, 217<br> | ||
Badness: 0.025782<br><br> | Badness: 0.025782<br><br> | ||
; [[Hemimean clan #Quintagar|Quintasandra]] (217&229) | |||
''' | '''11-limit'''<br> | ||
Comma list: 3136/3125, 19712/19683, 41503/41472<br> | Comma list: 3136/3125, 19712/19683, 41503/41472<br> | ||
Mapping: [{{val|1 2 0 -3 13}}, {{val|0 -5 28 70 -115}}]<br> | Mapping: [{{val|1 2 0 -3 13}}, {{val|0 -5 28 70 -115}}]<br> | ||
Line 1,505: | Line 1,511: | ||
Vals: 12e, 217, 446<br> | Vals: 12e, 217, 446<br> | ||
Badness: 0.109908<br><br> | Badness: 0.109908<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 2080/2079, 3136/3125, 4096/4095, 19712/19683<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> | Mapping: [{{val|1 2 0 -3 13 11}}, {{val|0 -5 28 70 -115 -88}}]<br> | ||
Line 1,511: | Line 1,517: | ||
Vals: 12e, 217, 446, 663c<br> | Vals: 12e, 217, 446, 663c<br> | ||
Badness: 0.067730<br><br> | Badness: 0.067730<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 936/935, 1156/1155, 1377/1375, 3136/3125, 4096/4095<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> | Mapping: [{{val|1 2 0 -3 13 11 5}}, {{val|0 -5 28 70 -115 -88 -11}}]<br> | ||
Line 1,517: | Line 1,523: | ||
Vals: 12e, 217, 446, 663c<br> | Vals: 12e, 217, 446, 663c<br> | ||
Badness: 0.038153<br><br> | Badness: 0.038153<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 476/475, 936/935, 1156/1155, 1216/1215, 1377/1375, 1729/1728<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> | Mapping: [{{val|1 2 0 -3 13 11 5 4}}, {{val|0 -5 28 70 -115 -88 -11 3}}]<br> | ||
Line 1,523: | Line 1,529: | ||
Vals: 12e, 217, 446, 663ch<br> | Vals: 12e, 217, 446, 663ch<br> | ||
Badness: 0.026654<br><br> | Badness: 0.026654<br><br> | ||
; [[Hemimean clan #Quintagar|Quintasandroid]] (229&241) | |||
''' | '''11-limit'''<br> | ||
Comma list: 3136/3125, 8019/8000, 15488/15435<br> | Comma list: 3136/3125, 8019/8000, 15488/15435<br> | ||
Mapping: [{{val|1 2 0 -3 -6}}, {{val|0 -5 28 70 114}}]<br> | Mapping: [{{val|1 2 0 -3 -6}}, {{val|0 -5 28 70 114}}]<br> | ||
Line 1,530: | Line 1,536: | ||
Vals: 12, 217e, 229, 470cd, 699cd<br> | Vals: 12, 217e, 229, 470cd, 699cd<br> | ||
Badness: 0.093971<br><br> | Badness: 0.093971<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 351/350, 2080/2079, 3136/3125, 10648/10647<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> | Mapping: [{{val|1 2 0 -3 -6 -8}}, {{val|0 -5 28 70 114 141}}]<br> | ||
Line 1,536: | Line 1,542: | ||
Vals: 12f, 217ef, 229, 241, 470cd, 711ccd<br> | Vals: 12f, 217ef, 229, 241, 470cd, 711ccd<br> | ||
Badness: 0.065701<br><br> | Badness: 0.065701<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 351/350, 442/441, 561/560, 3136/3125, 7744/7735<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> | Mapping: [{{val|1 2 0 -3 -6 -8 5}}, {{val|0 -5 28 70 114 141 -11}}]<br> | ||
Line 1,542: | Line 1,548: | ||
Vals: 12f, 217ef, 229, 241, 470cd<br> | Vals: 12f, 217ef, 229, 241, 470cd<br> | ||
Badness: 0.046624<br><br> | Badness: 0.046624<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 351/350, 442/441, 476/475, 561/560, 627/625, 6144/6137<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> | Mapping: [{{val|1 2 0 -3 -6 -8 5 4}}, {{val|0 -5 28 70 114 141 -11 3}}]<br> | ||
Line 1,548: | Line 1,554: | ||
Vals: 12f, 217ef, 229, 241, 470cd<br> | Vals: 12f, 217ef, 229, 241, 470cd<br> | ||
Badness: 0.033145<br><br> | Badness: 0.033145<br><br> | ||
; [[Hemimean clan #Quintagar|Quintasand]] (12&229) | |||
''' | '''13-limit'''<br> | ||
Comma list: 1573/1568, 3136/3125, 4096/4095, 4459/4455<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> | Mapping: [{{val|1 2 0 -3 -6 11}}, {{val|0 -5 28 70 114 -88}}]<br> | ||
Line 1,555: | Line 1,561: | ||
Vals: 12, 217e, 229, 446e, 675ceef<br> | Vals: 12, 217e, 229, 446e, 675ceef<br> | ||
Badness: 0.100195<br><br> | Badness: 0.100195<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 561/560, 715/714, 1701/1700, 3136/3125, 4096/4095<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> | Mapping: [{{val|1 2 0 -3 -6 11 5}}, {{val|0 -5 28 70 114 -88 -11}}]<br> | ||
Line 1,561: | Line 1,567: | ||
Vals: 12, 217e, 229, 446e, 675ceef<br> | Vals: 12, 217e, 229, 446e, 675ceef<br> | ||
Badness: 0.057851<br><br> | Badness: 0.057851<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 286/285, 476/475, 561/560, 627/625, 1216/1215, 1729/1728<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> | Mapping: [{{val|1 2 0 -3 -6 11 5 4}}, {{val|0 -5 28 70 114 -88 -11 3}}]<br> | ||
Line 1,567: | Line 1,573: | ||
Vals: 12, 217e, 229, 446e, 675ceefh<br> | Vals: 12, 217e, 229, 446e, 675ceefh<br> | ||
Badness: 0.040410<br><br> | Badness: 0.040410<br><br> | ||
; Semiquindromeda (12&422) | |||
''' | '''7-limit'''<br> | ||
Comma list: 102760448/102515625, 1220703125/1219784832<br> | Comma list: 102760448/102515625, 1220703125/1219784832<br> | ||
Mapping: [{{val|2 4 0 -5}}, {{val|0 -5 28 64}}]<br> | Mapping: [{{val|2 4 0 -5}}, {{val|0 -5 28 64}}]<br> | ||
Line 1,574: | Line 1,580: | ||
Vals: 12, 398, 410, 422, 832, 1254d, 2086bd<br> | Vals: 12, 398, 410, 422, 832, 1254d, 2086bd<br> | ||
Badness: 0.233140<br><br> | Badness: 0.233140<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 5632/5625, 9801/9800, 85937500/85766121<br> | Comma list: 5632/5625, 9801/9800, 85937500/85766121<br> | ||
Mapping: [{{val|2 4 0 -5 -10}}, {{val|0 -5 28 64 102}}]<br> | Mapping: [{{val|2 4 0 -5 -10}}, {{val|0 -5 28 64 102}}]<br> | ||
Line 1,580: | Line 1,586: | ||
Vals: 12, 410, 422<br> | Vals: 12, 410, 422<br> | ||
Badness: 0.093926<br><br> | Badness: 0.093926<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 1716/1715, 2080/2079, 5632/5625, 831875/830466<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> | Mapping: [{{val|2 4 0 -5 -10 -13}}, {{val|0 -5 28 64 102 123}}]<br> | ||
Line 1,586: | Line 1,592: | ||
Vals: 12f, 410, 422, 1254df, 1676bdff, 2098bcddff<br> | Vals: 12f, 410, 422, 1254df, 1676bdff, 2098bcddff<br> | ||
Badness: 0.053361<br><br> | Badness: 0.053361<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 1716/1715, 2080/2079, 2500/2499, 5632/5625, 15895/15876<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> | Mapping: [{{val|2 4 0 -5 -10 -13 10}}, {{val|0 -5 28 64 102 123 -11}}]<br> | ||
Line 1,592: | Line 1,598: | ||
Vals: 12f, 410, 422, 832, 1254df, 1676bdff<br> | Vals: 12f, 410, 422, 832, 1254df, 1676bdff<br> | ||
Badness: 0.034659<br><br> | Badness: 0.034659<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 1216/1215, 1445/1444, 1716/1715, 2080/2079, 2376/2375, 2500/2499<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> | Mapping: [{{val|2 4 0 -5 -10 -13 10 8}}, {{val|0 -5 28 64 102 123 -11 3}}]<br> | ||
Line 1,599: | Line 1,605: | ||
Badness: 0.025439<br><br> | Badness: 0.025439<br><br> | ||
'''<font style="font-size: 1.15em">28 June 2021</font>''' | |||
''' | ; [[Hemimean clan #Quintagar|Quintoneoid]] (12&217) | ||
''' | '''13-limit'''<br> | ||
Comma list: 441/440, 1001/1000, 3136/3125, 59150/59049<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> | Mapping: [{{val|1 2 0 -3 -5 11}}, {{val|0 -5 28 70 102 -88}}]<br> | ||
Line 1,607: | Line 1,613: | ||
Vals: 12, 205d, 217<br> | Vals: 12, 205d, 217<br> | ||
Badness: 0.072826<br><br> | Badness: 0.072826<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 441/440, 595/594, 1001/1000, 2601/2600, 3136/3125<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> | Mapping: [{{val|1 2 0 -3 -5 11 5}}, {{val|0 -5 28 70 102 -88 -11}}]<br> | ||
Line 1,613: | Line 1,619: | ||
Vals: 12, 205d, 217<br> | Vals: 12, 205d, 217<br> | ||
Badness: 0.042339<br><br> | Badness: 0.042339<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 441/440, 476/475, 595/594, 1001/1000, 1216/1215, 2601/2600<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> | Mapping: [{{val|1 2 0 -3 -5 11 5 4}}, {{val|0 -5 28 70 102 -88 -11 3}}]<br> | ||
Line 1,620: | Line 1,626: | ||
Badness: 0.028983<br><br> | Badness: 0.028983<br><br> | ||
===<font style="font-size: 1.15em">Proposed | ===<font style="font-size: 1.15em">Proposed in July 2021</font>=== | ||
'''<font style="font-size: 1. | '''<font style="font-size: 1.15em">4 July 2021</font>''' | ||
''' | ; [[Minortonic family #Mitonic|Mineral]] (46&171) | ||
'''11-limit'''<br> | |||
Comma list: 441/440, 4375/4374, 16384/16335<br> | Comma list: 441/440, 4375/4374, 16384/16335<br> | ||
Mapping: [{{val|1 -1 -3 6 10}}, {{val|0 17 35 -21 -43}}]<br> | Mapping: [{{val|1 -1 -3 6 10}}, {{val|0 17 35 -21 -43}}]<br> | ||
Line 1,628: | Line 1,635: | ||
Vals: 46, 125e, 171, 217, 605ee, 822dee<br> | Vals: 46, 125e, 171, 217, 605ee, 822dee<br> | ||
Badness: 0.059060<br><br> | Badness: 0.059060<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 364/363, 441/440, 3584/3575, 4375/4374<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> | Mapping: [{{val|1 -1 -3 6 10 11}}, {{val|0 17 35 -21 -43 -48}}]<br> | ||
Line 1,634: | Line 1,641: | ||
Vals: 46, 125e, 171, 217, 605ee, 822dee<br> | Vals: 46, 125e, 171, 217, 605ee, 822dee<br> | ||
Badness: 0.033140<br><br> | Badness: 0.033140<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 364/363, 441/440, 595/594, 1156/1155, 3584/3575<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> | Mapping: [{{val|1 -1 -3 6 10 11 5}}, {{val|0 17 35 -21 -43 -48 -6}}]<br> | ||
Line 1,640: | Line 1,647: | ||
Vals: 46, 125e, 171, 217, 605ee, 822dee<br> | Vals: 46, 125e, 171, 217, 605ee, 822dee<br> | ||
Badness: 0.019792<br><br> | Badness: 0.019792<br><br> | ||
; [[Minortonic family #Mitonic|Ore]] (46&125) | |||
''' | '''11-limit'''<br> | ||
Comma list: 385/384, 1331/1323, 4375/4374<br> | Comma list: 385/384, 1331/1323, 4375/4374<br> | ||
Mapping: [{{val|1 -1 -3 6 3}}, {{val|0 17 35 -21 3}}]<br> | Mapping: [{{val|1 -1 -3 6 3}}, {{val|0 17 35 -21 3}}]<br> | ||
Line 1,647: | Line 1,654: | ||
Vals: 46, 125, 171e<br> | Vals: 46, 125, 171e<br> | ||
Badness: 0.053662<br><br> | Badness: 0.053662<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 352/351, 385/384, 1331/1323, 3267/3250<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> | Mapping: [{{val|1 -1 -3 6 3 11}}, {{val|0 17 35 -21 3 -48}}]<br> | ||
Line 1,653: | Line 1,660: | ||
Vals: 46, 125, 171e, 388ee<br> | Vals: 46, 125, 171e, 388ee<br> | ||
Badness: 0.046170<br><br> | Badness: 0.046170<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 352/351, 385/384, 561/560, 715/714, 1452/1445<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> | Mapping: [{{val|1 -1 -3 6 3 11 5}}, {{val|0 17 35 -21 3 -48 -6}}]<br> | ||
Line 1,660: | Line 1,667: | ||
Badness: 0.028423<br><br> | Badness: 0.028423<br><br> | ||
'''<font style="font-size: 1.15em">12 July 2021</font>''' | |||
''' | ; [[Octagar temperaments #Quintupole|Quintupole]] (12&121) | ||
''' | '''5-limit'''<br> | ||
Comma: {{monzo|37 -16 -5}}<br> | Comma: {{monzo|37 -16 -5}}<br> | ||
Mapping: [{{val|1 2 1}}, {{val|0 -5 16}}]<br> | Mapping: [{{val|1 2 1}}, {{val|0 -5 16}}]<br> | ||
Line 1,668: | Line 1,675: | ||
Vals: 12, 85, 97, 109, 121, 133, 278c, 411bc, 544bc<br> | Vals: 12, 85, 97, 109, 121, 133, 278c, 411bc, 544bc<br> | ||
Badness: 0.444506<br><br> | Badness: 0.444506<br><br> | ||
''' | '''7-limit'''<br> | ||
Comma list: 4000/3969, 458752/455625<br> | Comma list: 4000/3969, 458752/455625<br> | ||
Mapping: [{{val|1 2 1 0}}, {{val|0 -5 16 34}}]<br> | Mapping: [{{val|1 2 1 0}}, {{val|0 -5 16 34}}]<br> | ||
Line 1,674: | Line 1,681: | ||
Vals: 12, 97, 109, 121<br> | Vals: 12, 97, 109, 121<br> | ||
Badness: 0.111620<br><br> | Badness: 0.111620<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 896/891, 1375/1372, 4375/4356<br> | Comma list: 896/891, 1375/1372, 4375/4356<br> | ||
Mapping: [{{val|1 2 1 0 -1}}, {{val|0 -5 16 34 54}}]<br> | Mapping: [{{val|1 2 1 0 -1}}, {{val|0 -5 16 34 54}}]<br> | ||
Line 1,680: | Line 1,687: | ||
Vals: 12, 109, 121, 351bde, 472bdee<br> | Vals: 12, 109, 121, 351bde, 472bdee<br> | ||
Badness: 0.056501<br><br> | Badness: 0.056501<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 352/351, 364/363, 625/624, 2704/2695<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> | Mapping: [{{val|1 2 1 0 -1 -2}}, {{val|0 -5 16 34 54 69}}]<br> | ||
Line 1,686: | Line 1,693: | ||
Vals: 12f, 109, 121<br> | Vals: 12f, 109, 121<br> | ||
Badness: 0.038431<br><br> | Badness: 0.038431<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 256/255, 352/351, 364/363, 375/374, 442/441<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> | Mapping: [{{val|1 2 1 0 -1 -2 5}}, {{val|0 -5 16 34 54 69 -11}}]<br> | ||
Line 1,692: | Line 1,699: | ||
Vals: 12f, 109, 121<br> | Vals: 12f, 109, 121<br> | ||
Badness: 0.028721<br><br> | Badness: 0.028721<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 190/189, 256/255, 352/351, 361/360, 364/363, 375/374<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> | Mapping: [{{val|1 2 1 0 -1 -2 5 4}}, {{val|0 -5 16 34 54 69 -11 3}}]<br> | ||
Line 1,699: | Line 1,706: | ||
Badness: 0.023818<br><br> | Badness: 0.023818<br><br> | ||
'''<font style="font-size: 1.15em">17 July 2021</font>''' | |||
''' | ; [[Hemifamity temperaments #Quinticosiennic|Quinticosiennic]] (12&145) | ||
''' | '''7-limit'''<br> | ||
Comma list: 5120/5103, 395136/390625<br> | Comma list: 5120/5103, 395136/390625<br> | ||
Mapping: [{{val|1 2 1 -1}}, {{val|0 -5 16 46}}]<br> | Mapping: [{{val|1 2 1 -1}}, {{val|0 -5 16 46}}]<br> | ||
Line 1,707: | Line 1,714: | ||
Vals: 12, 133, 145, 157, 302c, 459bcc<br> | Vals: 12, 133, 145, 157, 302c, 459bcc<br> | ||
Badness: 0.158041<br><br> | Badness: 0.158041<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 441/440, 896/891, 78408/78125<br> | Comma list: 441/440, 896/891, 78408/78125<br> | ||
Mapping: [{{val|1 2 1 -1 -2}}, {{val|0 -5 16 46 66}}]<br> | Mapping: [{{val|1 2 1 -1 -2}}, {{val|0 -5 16 46 66}}]<br> | ||
Line 1,713: | Line 1,720: | ||
Vals: 12, 133, 145<br> | Vals: 12, 133, 145<br> | ||
Badness: 0.080674<br><br> | Badness: 0.080674<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 196/195, 352/351, 364/363, 78408/78125<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> | Mapping: [{{val|1 2 1 -1 -2 -3}}, {{val|0 -5 16 46 66 81}}]<br> | ||
Line 1,719: | Line 1,726: | ||
Vals: 12f, 133, 145<br> | Vals: 12f, 133, 145<br> | ||
Badness: 0.052464<br><br> | Badness: 0.052464<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 196/195, 256/255, 352/351, 364/363, 3757/3750<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> | Mapping: [{{val|1 2 1 -1 -2 -3 5}}, {{val|0 -5 16 46 66 81 -11}}]<br> | ||
Line 1,725: | Line 1,732: | ||
Vals: 12f, 133, 145<br> | Vals: 12f, 133, 145<br> | ||
Badness: 0.037108<br><br> | Badness: 0.037108<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 196/195, 256/255, 352/351, 361/360, 364/363, 476/475<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> | Mapping: [{{val|1 2 1 -1 -2 -3 5 4}}, {{val|0 -5 16 46 66 81 -11 3}}]<br> | ||
Line 1,731: | Line 1,738: | ||
Vals: 12f, 133, 145<br> | Vals: 12f, 133, 145<br> | ||
Badness: 0.028440<br><br> | Badness: 0.028440<br><br> | ||
; [[Marvel temperaments #Quintapole|Quintapole]] (12&85) | |||
''' | '''7-limit'''<br> | ||
Comma list: 225/224, 7812500/7411887<br> | Comma list: 225/224, 7812500/7411887<br> | ||
Mapping: [{{val|1 2 1 1}}, {{val|0 -5 16 22}}]<br> | Mapping: [{{val|1 2 1 1}}, {{val|0 -5 16 22}}]<br> | ||
Line 1,738: | Line 1,745: | ||
Vals: 12, 73c, 85, 97d<br> | Vals: 12, 73c, 85, 97d<br> | ||
Badness: 0.192498<br><br> | Badness: 0.192498<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 100/99, 225/224, 85184/84035<br> | Comma list: 100/99, 225/224, 85184/84035<br> | ||
Mapping: [{{val|1 2 1 1 0}}, {{val|0 -5 16 22 42}}]<br> | Mapping: [{{val|1 2 1 1 0}}, {{val|0 -5 16 22 42}}]<br> | ||
Line 1,745: | Line 1,752: | ||
Badness: 0.104353<br><br> | Badness: 0.104353<br><br> | ||
'''<font style="font-size: 1.15em">18 July 2021</font>''' | |||
''' | ; [[Mirkwai clan #Hemiseptisix|Hemiseptisix]] (103&121) | ||
''' | '''7-limit'''<br> | ||
Comma list: 16875/16807, 95703125/95551488<br> | Comma list: 16875/16807, 95703125/95551488<br> | ||
Mapping: [{{val|1 -19 -7 -17}}, {{val|0 53 24 51}}]<br> | Mapping: [{{val|1 -19 -7 -17}}, {{val|0 53 24 51}}]<br> | ||
Line 1,753: | Line 1,760: | ||
Vals: 18, 103, 121, 224<br> | Vals: 18, 103, 121, 224<br> | ||
Badness: 0.162826<br><br> | Badness: 0.162826<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 1375/1372, 2734375/2725888<br> | Comma list: 540/539, 1375/1372, 2734375/2725888<br> | ||
Mapping: [{{val|1 -19 -7 -17 -28}}, {{val|0 53 24 51 81}}]<br> | Mapping: [{{val|1 -19 -7 -17 -28}}, {{val|0 53 24 51 81}}]<br> | ||
Line 1,759: | Line 1,766: | ||
Vals: 103, 121, 224<br> | Vals: 103, 121, 224<br> | ||
Badness: 0.043381<br><br> | Badness: 0.043381<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 540/539, 625/624, 1375/1372, 2200/2197<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> | Mapping: [{{val|1 -19 -7 -17 -28 -13}}, {{val|0 53 24 51 81 43}}]<br> | ||
Line 1,766: | Line 1,773: | ||
Badness: 0.021127<br><br> | Badness: 0.021127<br><br> | ||
===<font style="font-size: 1.15em">Proposed | ===<font style="font-size: 1.15em">Proposed in August 2021</font>=== | ||
'''<font style="font-size: 1. | '''<font style="font-size: 1.15em">2 August 2021</font>''' | ||
''' | ; [[Minortonic family #Mitonic|Goldmine]] (46&79) | ||
'''13-limit'''<br> | |||
Comma list: 169/168, 325/324, 385/384, 1331/1323<br> | 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> | Mapping: [{{val|1 -1 -3 6 3 4}}, {{val|0 17 35 -21 3 -2}}]<br> | ||
Line 1,774: | Line 1,782: | ||
Vals: 46, 79, 125f, 171ef, 296eff<br> | Vals: 46, 79, 125f, 171ef, 296eff<br> | ||
Badness: 0.039302<br><br> | Badness: 0.039302<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 169/168, 273/272, 325/324, 385/384, 1331/1323<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> | Mapping: [{{val|1 -1 -3 6 3 4 5}}, {{val|0 17 35 -21 3 -2 -6}}]<br> | ||
Line 1,781: | Line 1,789: | ||
Badness: 0.027440<br><br> | Badness: 0.027440<br><br> | ||
'''<font style="font-size: 1.15em">8 August 2021</font>''' | |||
''' | ; [[Counterpyth family #Gamelapyth|Gamelapyth]] (41&164) | ||
''' | '''7-limit'''<br> | ||
Comma list: 1029/1024, 537824/531441<br> | Comma list: 1029/1024, 537824/531441<br> | ||
Mapping: [{{val|41 65 0 115}}, {{val|0 0 1 0}}]<br> | Mapping: [{{val|41 65 0 115}}, {{val|0 0 1 0}}]<br> | ||
Line 1,789: | Line 1,797: | ||
Vals: 41, 123, 164, 205d, 246d, 451dd<br> | Vals: 41, 123, 164, 205d, 246d, 451dd<br> | ||
Badness: 0.161056<br><br> | Badness: 0.161056<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 385/384, 441/440, 537824/531441<br> | Comma list: 385/384, 441/440, 537824/531441<br> | ||
Mapping: [{{val|41 65 0 115 237}}, {{val|0 0 1 0 -1}}]<br> | Mapping: [{{val|41 65 0 115 237}}, {{val|0 0 1 0 -1}}]<br> | ||
Line 1,795: | Line 1,803: | ||
Vals: 41, 123e, 164, 205d, 451dd<br> | Vals: 41, 123e, 164, 205d, 451dd<br> | ||
Badness: 0.076537<br><br> | Badness: 0.076537<br><br> | ||
; [[Counterpyth family #Mermapyth|Mermapyth]] (41&205) | |||
''' | '''7-limit'''<br> | ||
Comma list: 5120/5103, 2500000/2470629<br> | Comma list: 5120/5103, 2500000/2470629<br> | ||
Mapping: [{{val|41 65 0 20}}, {{val|0 0 1 1}}]<br> | Mapping: [{{val|41 65 0 20}}, {{val|0 0 1 1}}]<br> | ||
Line 1,802: | Line 1,810: | ||
Vals: 41, 123d, 164d, 205, 246, 451d, 697dd<br> | Vals: 41, 123d, 164d, 205, 246, 451d, 697dd<br> | ||
Badness: 0.142344<br><br> | Badness: 0.142344<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 5120/5103, 75625/75264<br> | Comma list: 540/539, 5120/5103, 75625/75264<br> | ||
Mapping: [{{val|41 65 0 20 237}}, {{val|0 0 1 1 -1}}]<br> | Mapping: [{{val|41 65 0 20 237}}, {{val|0 0 1 1 -1}}]<br> | ||
Line 1,809: | Line 1,817: | ||
Badness: 0.076588<br><br> | Badness: 0.076588<br><br> | ||
'''<font style="font-size: 1.15em">13 August 2021</font>''' | |||
''' | ; [[Hemfiness temperaments #Undesemi|Undesemi]] (15&224) | ||
''' | '''7-limit'''<br> | ||
Comma list: 4096000/4084101, 95703125/95551488<br> | Comma list: 4096000/4084101, 95703125/95551488<br> | ||
Mapping: [{{val|1 5 5 1}}, {{val|0 -51 -40 27}}]<br> | Mapping: [{{val|1 5 5 1}}, {{val|0 -51 -40 27}}]<br> | ||
Line 1,817: | Line 1,825: | ||
Vals: 15, 194, 209, 224, 463, 687, 1150d<br> | Vals: 15, 194, 209, 224, 463, 687, 1150d<br> | ||
Badness: 0.178777<br><br> | Badness: 0.178777<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 3025/3024, 4000/3993, 180224/180075<br> | Comma list: 3025/3024, 4000/3993, 180224/180075<br> | ||
Mapping: [{{val|1 5 5 1 5}}, {{val|0 -51 -40 27 -23}}]<br> | Mapping: [{{val|1 5 5 1 5}}, {{val|0 -51 -40 27 -23}}]<br> | ||
Line 1,823: | Line 1,831: | ||
Vals: 15, 194, 209, 224, 463, 1150de<br> | Vals: 15, 194, 209, 224, 463, 1150de<br> | ||
Badness: 0.042318<br><br> | Badness: 0.042318<br><br> | ||
; [[Hemimean clan #Decipentic|Decipentic]] (43&56) | |||
''' | '''7-limit'''<br> | ||
Comma list: 3136/3125, 2097152/2083725<br> | Comma list: 3136/3125, 2097152/2083725<br> | ||
Mapping: [{{val| 1 6 0 -3 }}, {{val| 0 -19 10 25 }}]<br> | Mapping: [{{val| 1 6 0 -3 }}, {{val| 0 -19 10 25 }}]<br> | ||
Line 1,830: | Line 1,838: | ||
Vals: 13, 43, 56, 99<br> | Vals: 13, 43, 56, 99<br> | ||
Badness: 0.087325<br><br> | Badness: 0.087325<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 441/440, 1344/1331, 3136/3125<br> | Comma list: 441/440, 1344/1331, 3136/3125<br> | ||
Mapping: [{{val| 1 6 0 -3 3 }}, {{val| 0 -19 10 25 2 }}]<br> | Mapping: [{{val| 1 6 0 -3 3 }}, {{val| 0 -19 10 25 2 }}]<br> | ||
Line 1,836: | Line 1,844: | ||
Vals: 13, 43, 56, 99e<br> | Vals: 13, 43, 56, 99e<br> | ||
Badness: 0.061413<br><br> | Badness: 0.061413<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 169/168, 441/440, 832/825, 975/968<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> | Mapping: [{{val| 1 6 0 -3 3 3 }}, {{val| 0 -19 10 25 2 3 }}]<br> | ||
Line 1,842: | Line 1,850: | ||
Vals: 13, 43, 56, 99e<br> | Vals: 13, 43, 56, 99e<br> | ||
Badness: 0.047611<br><br> | Badness: 0.047611<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 169/168, 221/220, 256/255, 273/272, 375/374<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> | Mapping: [{{val| 1 6 0 -3 3 3 2 }}, {{val| 0 -19 10 25 2 3 9 }}]<br> | ||
Line 1,848: | Line 1,856: | ||
Vals: 13, 43, 56, 99e<br> | Vals: 13, 43, 56, 99e<br> | ||
Badness: 0.031191<br><br> | Badness: 0.031191<br><br> | ||
''' | '''19-limit'''<br> | ||
Comma list: 169/168, 210/209, 221/220, 256/255, 273/272, 286/285<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> | Mapping: [{{val| 1 6 0 -3 3 3 2 1 }}, {{val| 0 -19 10 25 2 3 9 14 }}]<br> | ||
Line 1,854: | Line 1,862: | ||
Vals: 13, 43, 56, 99e<br> | Vals: 13, 43, 56, 99e<br> | ||
Badness: 0.023899<br><br> | Badness: 0.023899<br><br> | ||
; [[Hemimean clan #Decipentic|Quasijerome]] (43&198) | |||
''' | '''11-limit'''<br> | ||
Comma list: 3136/3125, 15488/15435, 16384/16335<br> | Comma list: 3136/3125, 15488/15435, 16384/16335<br> | ||
Mapping: [{{val| 1 6 0 -3 3 }}, {{val| 0 -38 20 50 47 }}]<br> | Mapping: [{{val| 1 6 0 -3 3 }}, {{val| 0 -38 20 50 47 }}]<br> | ||
Line 1,861: | Line 1,869: | ||
Vals: 43, 112, 155, 198, 439cd, 637cd<br> | Vals: 43, 112, 155, 198, 439cd, 637cd<br> | ||
Badness: 0.092996<br><br> | Badness: 0.092996<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 676/675, 1001/1000, 3136/3125, 15488/15435<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> | Mapping: [{{val| 1 6 0 -3 3 8 }}, {{val| 0 -38 20 50 47 -37 }}]<br> | ||
Line 1,868: | Line 1,876: | ||
Badness: 0.044328<br><br> | Badness: 0.044328<br><br> | ||
'''<font style="font-size: 1.15em">14 August 2021</font>''' | |||
''' | ; [[Mirkwai clan #Septendesemi|Septendesemi]] (80&103) | ||
''' | '''7-limit'''<br> | ||
Comma list: 16875/16807, 1959552/1953125<br> | Comma list: 16875/16807, 1959552/1953125<br> | ||
Mapping: [{{val|1 -2 -1 -2}}, {{val|0 41 38 55}}]<br> | Mapping: [{{val|1 -2 -1 -2}}, {{val|0 41 38 55}}]<br> | ||
Line 1,876: | Line 1,884: | ||
Vals: 80, 103, 183<br> | Vals: 80, 103, 183<br> | ||
Badness: 0.146795<br><br> | Badness: 0.146795<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 1375/1372, 43923/43750<br> | Comma list: 540/539, 1375/1372, 43923/43750<br> | ||
Mapping: [{{val|1 -2 -1 -2 -1}}, {{val|0 41 38 55 51}}]<br> | Mapping: [{{val|1 -2 -1 -2 -1}}, {{val|0 41 38 55 51}}]<br> | ||
Line 1,882: | Line 1,890: | ||
Vals: 80, 103, 183<br> | Vals: 80, 103, 183<br> | ||
Badness: 0.041554<br><br> | Badness: 0.041554<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 351/350, 540/539, 1375/1372, 4225/4224<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> | Mapping: [{{val|1 -2 -1 -2 -1 3}}, {{val|0 41 38 55 51 8}}]<br> | ||
Line 1,888: | Line 1,896: | ||
Vals: 80, 103, 183, 469f, 652def<br> | Vals: 80, 103, 183, 469f, 652def<br> | ||
Badness: 0.027908<br><br> | Badness: 0.027908<br><br> | ||
''' | '''17-limit'''<br> | ||
Comma list: 351/350, 540/539, 561/560, 715/714, 4225/4224<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> | Mapping: [{{val|1 -2 -1 -2 -1 3 4}}, {{val|0 41 38 55 51 8 1}}]<br> | ||
Line 1,895: | Line 1,903: | ||
Badness: 0.020128<br><br> | Badness: 0.020128<br><br> | ||
'''<font style="font-size: 1.15em">15 August 2021</font>''' | |||
''' | ; [[Wizmic microtemperaments #Witch|Witch]] (99&265) | ||
''' | '''7-limit'''<br> | ||
Comma list: 420175/419904, 1600000/1594323<br> | Comma list: 420175/419904, 1600000/1594323<br> | ||
Mapping: [{{val|1 -7 -20 -2}}, {{val|0 25 65 14}}]<br> | Mapping: [{{val|1 -7 -20 -2}}, {{val|0 25 65 14}}]<br> | ||
Line 1,903: | Line 1,911: | ||
Vals: 99, 265, 364, 463, 562, 1025<br> | Vals: 99, 265, 364, 463, 562, 1025<br> | ||
Badness: 0.080608<br><br> | Badness: 0.080608<br><br> | ||
; [[Wizmic microtemperaments #Witch|Semiwitch]] (166&198) | |||
''' | '''11-limit'''<br> | ||
Comma list: 9801/9800, 41503/41472, 585640/583443<br> | Comma list: 9801/9800, 41503/41472, 585640/583443<br> | ||
Mapping: [{{val|2 11 25 10 16}}, {{val|0 -25 -65 -14 -29}}]<br> | Mapping: [{{val|2 11 25 10 16}}, {{val|0 -25 -65 -14 -29}}]<br> | ||
Line 1,910: | Line 1,918: | ||
Vals: 166, 198, 364, 562, 926, 1488bd, 2414bdd<br> | Vals: 166, 198, 364, 562, 926, 1488bd, 2414bdd<br> | ||
Badness: 0.088189<br><br> | Badness: 0.088189<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 1716/1715, 2080/2079, 2200/2197, 17303/17280<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> | Mapping: [{{val|2 11 25 10 16 24}}, {{val|0 -25 -65 -14 -29 -53}}]<br> | ||
Line 1,916: | Line 1,924: | ||
Vals: 166, 198, 364, 562, 926<br> | Vals: 166, 198, 364, 562, 926<br> | ||
Badness: 0.038009<br><br> | Badness: 0.038009<br><br> | ||
; [[Wizmic microtemperaments #Witch|Hitch]] (198&463) | |||
''' | '''11-limit'''<br> | ||
Comma list: 3025/3024, 117649/117612, 1600000/1594323<br> | Comma list: 3025/3024, 117649/117612, 1600000/1594323<br> | ||
Mapping: [{{val|1 18 45 12 -10}}, {{val|0 -50 -130 -28 41}}]<br> | Mapping: [{{val|1 18 45 12 -10}}, {{val|0 -50 -130 -28 41}}]<br> | ||
Line 1,923: | Line 1,931: | ||
Vals: 198, 463, 661, 1124bde<br> | Vals: 198, 463, 661, 1124bde<br> | ||
Badness: 0.093482<br><br> | Badness: 0.093482<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 676/675, 1716/1715, 3025/3024, 1600000/1594323<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> | Mapping: [{{val|1 18 45 12 -10 71}}, {{val|0 -50 -130 -28 41 -205}}]<br> | ||
Line 1,929: | Line 1,937: | ||
Vals: 198, 463, 661<br> | Vals: 198, 463, 661<br> | ||
Badness: 0.060716<br><br> | Badness: 0.060716<br><br> | ||
; [[Wizmic microtemperaments #Witch|Hitcher]] (198&265) | |||
''' | '''13-limit'''<br> | ||
Comma list: 2080/2079, 3025/3024, 13720/13689, 28672/28561<br> | 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> | Mapping: [{{val|1 18 45 12 -10 6}}, {{val|0 -50 -130 -28 41 -7}}]<br> | ||
Line 1,937: | Line 1,945: | ||
Badness: 0.059591<br><br> | Badness: 0.059591<br><br> | ||
'''<font style="font-size: 1.15em">16 August 2021</font>''' | |||
''' | ; [[Semicomma family #Quinwell|Quinwell]] (22&243) | ||
''' | '''7-limit'''<br> | ||
Comma list: 420175/419904, 2109375/2097152<br> | Comma list: 420175/419904, 2109375/2097152<br> | ||
Mapping: [{{val| 1 0 3 0 }}, {{val| 0 35 -15 62 }}]<br> | Mapping: [{{val| 1 0 3 0 }}, {{val| 0 35 -15 62 }}]<br> | ||
Line 1,945: | Line 1,953: | ||
Vals: 22, 221, 243, 751c, 994cd, 1237bccd, 1480bccd<br> | Vals: 22, 221, 243, 751c, 994cd, 1237bccd, 1480bccd<br> | ||
Badness: 0.168897<br><br> | Badness: 0.168897<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 4375/4356, 2109375/2097152<br> | Comma list: 540/539, 4375/4356, 2109375/2097152<br> | ||
Mapping: [{{val| 1 0 3 0 5 }}, {{val| 0 35 -15 62 -34 }}]<br> | Mapping: [{{val| 1 0 3 0 5 }}, {{val| 0 35 -15 62 -34 }}]<br> | ||
Line 1,952: | Line 1,960: | ||
Badness: 0.097202<br><br> | Badness: 0.097202<br><br> | ||
'''<font style="font-size: 1.15em">17 August 2021</font>''' | |||
''' | ; [[Schismatic family #Septiquarschis|Septiquarschis]] (89&94) | ||
''' | '''7-limit'''<br> | ||
Comma list: 32805/32768, 829440/823543<br> | Comma list: 32805/32768, 829440/823543<br> | ||
Mapping: [{{val| 1 3 -9 2 }}, {{val| 0 -7 -56 4 }}]<br> | Mapping: [{{val| 1 3 -9 2 }}, {{val| 0 -7 -56 4 }}]<br> | ||
Line 1,960: | Line 1,968: | ||
Vals: 89, 94, 183, 460d, 643d, 1103dd<br> | Vals: 89, 94, 183, 460d, 643d, 1103dd<br> | ||
Badness: 0.187047<br><br> | Badness: 0.187047<br><br> | ||
''' | '''11-limit'''<br> | ||
Comma list: 540/539, 15488/15435, 32805/32768<br> | Comma list: 540/539, 15488/15435, 32805/32768<br> | ||
Mapping: [{{val| 1 3 -9 2 -2 }}, {{val| 0 -7 -56 4 27 }}]<br> | Mapping: [{{val| 1 3 -9 2 -2 }}, {{val| 0 -7 -56 4 27 }}]<br> | ||
Line 1,966: | Line 1,974: | ||
Vals: 89, 94, 183, 460d, 643d, 826dd<br> | Vals: 89, 94, 183, 460d, 643d, 826dd<br> | ||
Badness: 0.052002<br><br> | Badness: 0.052002<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 540/539, 729/728, 1573/1568, 4096/4095<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> | Mapping: [{{val| 1 3 -9 2 -2 13 }}, {{val| 0 -7 -56 4 27 -46 }}]<br> | ||
Line 1,973: | Line 1,981: | ||
Badness: 0.035315<br><br> | Badness: 0.035315<br><br> | ||
'''<font style="font-size: 1.15em">21 August 2021</font>''' | |||
''' | ; [[Semicomma family #Quinbetter|Quinbetter]] (22&221e) | ||
''' | '''11-limit'''<br> | ||
Comma list: 385/384, 24057/24010, 43923/43750<br> | Comma list: 385/384, 24057/24010, 43923/43750<br> | ||
Mapping: [{{val| 1 0 3 0 4 }}, {{val| 0 35 -15 62 -12 }}]<br> | Mapping: [{{val| 1 0 3 0 4 }}, {{val| 0 35 -15 62 -12 }}]<br> | ||
Line 1,982: | Line 1,990: | ||
Badness: 0.078657<br><br> | Badness: 0.078657<br><br> | ||
'''<font style="font-size: 1.15em">22 August 2021</font>''' | |||
''' | ; [[Archytas clan #Ultrapyth|Counterultrapyth]] (5e&37) | ||
''' | '''11-limit'''<br> | ||
Comma list: 64/63, 100/99, 3773/3645<br> | Comma list: 64/63, 100/99, 3773/3645<br> | ||
Mapping: [{{val| 1 0 -20 6 -38 }}, {{val| 0 1 14 -2 26 }}]<br> | Mapping: [{{val| 1 0 -20 6 -38 }}, {{val| 0 1 14 -2 26 }}]<br> | ||
Line 1,990: | Line 1,998: | ||
Vals: 5e, 32e, 37, 79bce, 116bbce<br> | Vals: 5e, 32e, 37, 79bce, 116bbce<br> | ||
Badness: 0.078068<br><br> | Badness: 0.078068<br><br> | ||
''' | '''13-limit'''<br> | ||
Comma list: 64/63, 91/90, 100/99, 847/845<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> | Mapping: [{{val| 1 0 -20 6 -38 -25 }}, {{val| 0 1 14 -2 26 18 }}]<br> |
Revision as of 10:05, 28 August 2021
Xenllium joined Xenharmonic Wiki on 15 November 2018. The name "Xenllium" is a portmanteau of "Xenharmonic" and "Trillium".
Rank two temperaments which this user proposed names
This user proposed new names for following temperaments.
Proposed in March 2019
14 March 2019
- Icositritonic (46 & 161)
7-limit
Comma list: 6144/6125, 9920232/9765625
Mapping: [⟨23 37 54 64], ⟨0 -1 -1 1]]
POTE generator: ~64/63 = 29.3586
Vals: 23, 46, 115, 161, 207, 368c
Badness: 0.196622
11-limit
Comma list: 441/440, 6144/6125, 35937/35840
Mapping: [⟨23 37 54 64 79], ⟨0 -1 -1 1 1]]
POTE generator: ~64/63 = 29.3980
Vals: 23, 46, 115, 161, 207, 368c
Badness: 0.064613
13-limit
Comma list: 351/350, 441/440, 847/845, 3584/3575
Mapping: [⟨23 37 54 64 79 84], ⟨0 -1 -1 1 1 2]]
POTE generator: ~64/63 = 29.2830
Vals: 46, 115, 161, 207, 368c
Badness: 0.040484
17-limit
Comma list: 351/350, 441/440, 561/560, 847/845, 1089/1088
Mapping: [⟨23 37 54 64 79 84 94], ⟨0 -1 -1 1 1 2 0]]
POTE generator: ~64/63 = 29.2800
Vals: 46, 115, 161, 207, 368c
Badness: 0.024676
19-limit
Comma list: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845
Mapping: [⟨23 37 54 64 79 84 94 96], ⟨0 -1 -1 1 1 2 0 3]]
POTE generator: ~64/63 = 29.3760
Vals: 46, 115, 161, 207, 368c
Badness: 0.021579
23-limit
Comma list: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845
Mapping: [⟨23 37 54 64 79 84 94 96 104], ⟨0 -1 -1 1 1 2 0 3 0]]
POTE generator: ~64/63 = 29.3471
Vals: 46, 115, 161, 207, 368ci
Badness: 0.017745
- Hemicounterpyth (41 & 328)
(Name revised from Tetracontahenatonic (7-limit) and Tetracontahenic (11-limit) on 8 August 2021)
7-limit
Comma list: 2401/2400, 52613349376/52301766015
Mapping: [⟨41 65 95 115], ⟨0 0 2 1]]
POTE generator: ~8/7 = 231.0446
Vals: 41, 328, 369, 779
Badness: 0.134559
11-limit
Comma list: 2401/2400, 16384/16335, 19712/19683
Mapping: [⟨41 65 95 115 142], ⟨0 0 2 1 -1]]
POTE generator: ~8/7 = 230.8276
EDOs: 41, 328, 369
Badness: 0.064400
- Hemermapyth (41 & 410)
(Name revised from Tetracontahenatonic on 8 August 2021)
11-limit
Comma list: 2401/2400, 59290/59049, 131072/130977
Mapping: [⟨41 65 95 115 142], ⟨0 0 2 1 -2]]
POTE generator: ~8/7 = 231.3847
EDOs: 41, 328e, 369e, 410, 451, 861e, 2173bcee
Badness: 0.100152
13-limit
Comma list: 2080/2079, 2401/2400, 4096/4095, 59290/59049
Mapping: [⟨41 65 95 115 142 152], ⟨0 0 2 1 -2 -3]]
POTE generator: ~8/7 = 231.3787
EDOs: 41, 410, 451, 861e, 2173bcee
Badness: 0.060512
- Pentacontatritonic (53 & 265)
11-limit
Comma list: 540/539, 15625/15552, 32805/32768
Mapping: [⟨53 84 123 149 183], ⟨0 0 0 -1 2]]
POTE generator: ~8/7 = 230.5645
Vals: 53, 159e, 212e, 265, 318, 583c
Badness: 0.115066
13-limit
Comma list: 540/539, 729/728, 4096/4095, 13750/13689
Mapping: [⟨53 84 123 149 183 196], ⟨0 0 0 -1 2 1]]
POTE generator: ~8/7 = 230.4000
Vals: 53, 159ef, 212ef, 265, 318, 583cf
Badness: 0.061158
- Hectaheptacontahenatonic (171 & 17442)
7-limit
Comma list: [2 -9 21 -13⟩, [10 -54 12 17⟩
Mapping: [⟨171 271 397 480], ⟨0 3 5 6]]
POTE generator: ~7/5 = 582.5244
Vals: 171, 16416, 16587, 16758, 16929, 17100, 17271, 17442, 17613, 52668, 70281, 87894c, 158175bcd
Badness: 0.286322
15 March 2019
- Meridic (258 & 301)
(Name revised from Tetracontatroid on 1 May 2021)
5-limit
Comma: [168 -43 -43⟩
Mapping: [⟨43 68 100], ⟨0 1 -1]]
POTE generator: ~[-68 18 17⟩ = 4.3194
Vals: 43, 172, 215, 258, 559, 1935, 2494, 3053, 3612
Badness: 1.061246
7-limit
Comma list: 5250987/5242880, 2202927104/2197265625
Mapping: [⟨43 68 100 121], ⟨0 1 -1 -2]]
POTE generator: ~703125/702464 = 4.1632
Vals: 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd
Badness: 0.230038
11-limit
Comma list: 41503/41472, 172032/171875, 1240029/1239040
Mapping: [⟨43 68 100 121 148], ⟨0 1 -1 -2 5]]
POTE generator: ~540/539 = 4.1828
Vals: 258, 301, 559, 860
Badness: 0.111149
13-limit
Comma list: 2200/2197, 4096/4095, 21168/21125, 39366/39325
Mapping: [⟨43 68 100 121 148 159], ⟨0 1 -1 -2 5 1]]
POTE generator: ~540/539 = 4.1765
Vals: 258, 301, 559, 860f
Badness: 0.071435
17-limit
Comma list: 833/832, 1701/1700, 2200/2197, 4096/4095, 11016/11011
Mapping: [⟨43 68 100 121 148 159 175], ⟨0 1 -1 -2 5 1 5]]
POTE generator: ~540/539 = 4.1974
Vals: 258, 301, 559, 860f
Badness: 0.047292
- Tetracontaheptatonic (94 & 705)
7-limit
Comma list: 242137805625/240518168576, 247669456896/247165842875
Mapping: [⟨47 75 107 133], ⟨0 -1 4 -2]]
POTE generator: ~3/2 = 701.394
Vals: 94, 611, 705, 799
Badness: 1.619046
11-limit
Comma list: 24057/24010, 1366875/1362944, 16808715/16777216
Mapping: [⟨47 75 107 133 161], ⟨0 -1 4 -2 3]]
POTE generator: ~3/2 = 701.406
Vals: 94, 611, 705, 799, 893, 1692bc, 2491bbc
Badness: 0.280814
13-limit
Comma list: 1575/1573, 24057/24010, 41472/41405, 916839/913952
Mapping: [⟨47 75 107 133 161 175], ⟨0 -1 4 -2 3 -2]]
POTE generator: ~3/2 = 701.368
Vals: 94, 611, 705, 799
Badness: 0.144341
24 March 2019
- Palladium (46 & 414)
(Name revised from Tetracontahexoid on 29 April 2021)
7-limit
Comma list: 4375/4374, [-51 8 2 12⟩
Mapping: [⟨46 73 107 129], ⟨0 -1 -2 1]]
POTE generator: ~3/2 = 701.6074
Vals: 46, 368, 414, 460, 874d
Badness: 0.308505
11-limit
Comma list: 3025/3024, 9801/9800, 134775333/134217728
Mapping: [⟨46 73 107 129 159], ⟨0 -1 -2 1 1]]
POTE generator: ~3/2 = 701.5951
Vals: 46, 368, 414, 460, 874de
Badness: 0.073783
'13-limit
Comma list: 3025/3024, 4225/4224, 4375/4374, 26411/26364
Mapping: [⟨46 73 107 129 159 170], ⟨0 -1 -2 1 1 2]]
POTE generator: ~3/2 = 701.6419
Vals: 46, 368, 414, 460, 874de, 1334de
Badness: 0.040751
17-limit
Comma list: 833/832, 1089/1088, 1225/1224, 1701/1700, 4225/4224
Mapping: [⟨46 73 107 129 159 170 188], ⟨0 -1 -2 1 1 2 0]]
POTE generator: ~3/2 = 701.6425
Vals: 46, 368, 414, 460, 874de, 1334deg
Badness: 0.022441
Proposed in April 2019
21 April 2019
- Tertiathirds (121 & 270)
7-limit
Comma list: 420175/419904, 29360128/29296875
Mapping: [⟨1 -4 2 -6], ⟨0 52 3 82]]
POTE generator: ~3375/3136 = 128.888
Vals: 121, 149, 270, 2309c, 2579c, 2849c, 3119bc, 3389bc, 3659bcc, 3929bcc, 4199bcc
Badness: 0.093005
11-limit
Comma list: 3025/3024, 5632/5625, 117649/117612
Mapping: [⟨1 -4 2 -6 -9], ⟨0 52 3 82 116]]
POTE generator: ~264/245 = 128.890
Vals: 121, 149, 270, 2551bc, 2821bc, 3091bc, 3361bc, 3631bbcc, 3901bbccd, 4171bbccd, 4441bbccd, 4711bbccd
Badness: 0.033322
13-limit
Comma list: 676/675, 1716/1715, 3025/3024, 4225/4224
Mapping: [⟨1 -4 2 -6 -9 -5], ⟨0 52 3 82 116 81]]
POTE generator: ~14/13 = 128.890
Vals: 121, 149, 270, 1741bc, 2011bcf, 2281bcf, 2551bcf, 2821bcf, 3091bcff, 3361bcff
Badness: 0.019494
17-limit
Comma list: 676/675, 715/714, 1716/1715, 2025/2023, 4225/4224
Mapping: [⟨1 -4 2 -6 -9 -5 -3], ⟨0 52 3 82 116 81 66]]
POTE generator: ~14/13 = 128.891
Vals: 121, 149, 270
Badness: 0.019107
22 April 2019
- Tertiaschis (94 & 159)
7-limit
Comma list: 32805/32768, 1071875/1062882
Mapping: [⟨1 2 -1 10], ⟨0 -3 24 -52]]
POTE generator: ~192/175 = 166.019
Vals: 65, 94, 159, 253, 412cd
Badness: 0.211859
11-limit
Comma list: 385/384, 4000/3993, 19712/19683
Mapping: [⟨1 2 -1 10 0], ⟨0 -3 24 -52 25]]
POTE generator: ~11/10 = 166.017
Vals: 65, 94, 159, 253, 412cd
Badness: 0.061336
13-limit
Comma list: 325/324, 385/384, 1575/1573, 10985/10976
Mapping: [⟨1 2 -1 10 0 12], ⟨0 -3 24 -52 25 -60]]
POTE generator: ~11/10 = 166.016
Vals: 65f, 94, 159, 253, 412cdf, 665ccdef
Badness: 0.036700
17-limit
Comma list: 325/324, 375/374, 385/384, 595/594, 10985/10976
Mapping: [⟨1 2 -1 10 0 12 -2], ⟨0 -3 24 -52 25 -60 44]]
POTE generator: ~11/10 = 166.012
Vals: 65f, 94, 159, 253
Badness: 0.026504
Proposed in March 2021
13 March 2021
- Trident (53 & 229)
7-limit
Comma list: 6144/6125, 14348907/14336000
Mapping: [⟨1 0 -13 25], ⟨0 3 29 -42]]
POTE generator: ~4096/2835 = 634.048
Vals: 53, 176, 229, 282, 511
Badness: 0.101694
11-limit
Comma list: 3388/3375, 6144/6125, 8019/8000
Mapping: [⟨1 0 -13 25 -33], ⟨0 3 29 -42 69]]
POTE generator: ~231/160 = 634.067
Vals: 53, 176, 229
Badness: 0.074272
13-limit
Comma list: 351/350, 2080/2079, 2197/2187, 3146/3125
Mapping: [⟨1 0 -13 25 -33 0], ⟨0 3 29 -42 69 7]]
POTE generator: ~13/9 = 634.065
Vals: 53, 176, 229
Badness: 0.046593
- Trillium (53 & 441)
7-limit
Comma list: 4375/4374, 1099511627776/1098337086315
Mapping: [⟨1 0 -13 53], ⟨0 3 29 -95]]
POTE generator: ~23625/16384 = 634.012
Vals: 53, 441, 494, 935, 1376, 3193, 4569
Badness: 0.030852
11-limit
Comma list: 4375/4374, 131072/130977, 759375/758912
Mapping: [⟨1 0 -13 53 -89], ⟨0 3 29 -95 175]]
POTE generator: ~3888/2695 = 634.009
Vals: 53, 441, 494, 935, 1429
Badness: 0.046758
13-limit
Comma list: 2080/2079, 4096/4095, 4375/4374, 78125/78078
Mapping: [⟨1 0 -13 53 -89 -28], ⟨0 3 29 -95 175 60]]
POTE generator: ~75/52 = 634.010
Vals: 53, 441, 494, 935, 1429
Badness: 0.019393
- Pseudotrillium (53 & 388)
11-limit
Comma list: 4375/4374, 5632/5625, 4108797/4096000
Mapping: [⟨1 0 -13 53 -61], ⟨0 3 29 -95 122]]
POTE generator: ~231/160 = 634.019
Vals: 53, 335, 388
Badness: 0.111931
13-limit
Comma list: 847/845, 1001/1000, 4096/4095, 4375/4374
Mapping: [⟨1 0 -13 53 -61 -28], ⟨0 3 29 -95 122 60]]
POTE generator: ~75/52 = 634.018
Vals: 53, 335, 388
Badness: 0.054837
- Tritricot (159 & 282)
7-limit
Comma list: 250047/250000, 11785390260224/11767896353375
Mapping: [⟨3 6 19 30], ⟨0 -3 -29 -52]]
POTE generator: ~100352/91125 = 165.984
Vals: 159, 282, 441, 2487, 2928, 3369
Badness: 0.086081
11-limit
Comma list: 4000/3993, 166698/166375, 200704/200475
Mapping: [⟨3 6 19 30 22], ⟨0 -3 -29 -52 -28]]
POTE generator: ~11/10 = 165.984
Vals: 159, 282, 441
Badness: 0.074002
13-limit
Comma list: 1575/1573, 2080/2079, 34398/34375, 43904/43875
Mapping: [⟨3 6 19 30 22 36], ⟨0 -3 -29 -52 -28 -60]]
POTE generator: ~11/10 = 165.984
Vals: 159, 282, 441
Badness: 0.035641
17-limit
Comma list: 936/935, 1575/1573, 1701/1700, 2025/2023, 8624/8619
Mapping: [⟨3 6 19 30 22 36 16], ⟨0 -3 -29 -52 -28 -60 -9]]
POTE generator: ~11/10 = 165.980
Vals: 159, 282, 441
Badness: 0.025972
21 March 2021
- Decic (10 & 50)
7-limit
Comma list: 225/224, 16807/16384
Mapping: [⟨10 0 39 28], ⟨0 1 -1 0]]
POTE generator: ~3/2 = 698.696
Vals: 10, 50, 60, 110d, 170cdd
Badness: 0.089135
11-limit
Comma list: 225/224, 385/384, 3087/3025
Mapping: [⟨10 0 39 28 3], ⟨0 1 -1 0 2]]
POTE generator: ~3/2 = 696.791
Vals: 10, 50
Badness: 0.063900
13-limit
Comma list: 105/104, 144/143, 196/195, 2200/2197
Mapping: [⟨10 0 39 28 3 37], ⟨0 1 -1 0 2 0]]
POTE generator: ~3/2 = 696.993
Vals: 10, 50
Badness: 0.036880
17-limit
Comma list: 105/104, 144/143, 170/169, 196/195, 221/220
Mapping: [⟨10 0 39 28 3 37 25], ⟨0 1 -1 0 2 0 1]]
POTE generator: ~3/2 = 697.085
Vals: 10, 50
Badness: 0.025064
22 March 2021
- Cloudtone (5 & 50)
7-limit
Comma list: 81/80, 16807/16384
Mapping: [⟨5 0 -20 14], ⟨0 1 4 0]]
POTE generator: ~3/2 = 695.720
Vals: 5, 45, 50
Badness: 0.102256
11-limit
Comma list: 81/80, 385/384, 2401/2376
Mapping: [⟨5 0 -20 14 41], ⟨0 1 4 0 -3]]
POTE generator: ~3/2 = 696.536
Vals: 5, 45, 50, 155bdd, 205bddd
Badness: 0.070378
13-limit
Comma list: 81/80, 105/104, 144/143, 2401/2376
Mapping: [⟨5 0 -20 14 41 -21], ⟨0 1 4 0 -3 5]]
POTE generator: ~3/2 = 696.162
Vals: 5, 45f, 50
Badness: 0.048829
Proposed in April 2021
3 April 2021
- Pentacloud (5 & 60)
7-limit
Comma list: 245/243, 16807/16384
Mapping: [⟨5 0 -28 14], ⟨0 1 5 0]]
POTE generator: ~3/2 = 700.548
Vals: 5, 60, 65, 125d, 185cdd
Badness: 0.120942
11-limit
Comma list: 245/243, 385/384, 3087/3025
Mapping: [⟨5 0 -28 14 49], ⟨0 1 5 0 -4]]
POTE generator: ~3/2 = 701.377
Vals: 5, 60, 65
Badness: 0.093248
13-limit
Comma list: 105/104, 144/143, 245/243, 3087/3025
Mapping: [⟨5 0 -28 14 49 -29], ⟨0 1 5 0 -4 6]]
POTE generator: ~3/2 = 700.996
Vals: 5, 60, 65, 125de, 190ddef
Badness: 0.067549
- Hemipental (125 & 130)
7-limit
Comma list: 19683/19600, 589824/588245
Mapping: [⟨5 8 12 14], ⟨0 -2 -10 1]]
POTE generator: ~8/7 = 230.654
Vals: 5, 125, 130, 255, 385
Badness: 0.104163
11-limit
Comma list: 540/539, 8019/8000, 180224/180075
Mapping: [⟨5 8 12 14 18], ⟨0 -2 -10 1 -18]]
POTE generator: ~8/7 = 230.634
Vals: 5e, 125, 130, 255, 385, 640, 1025b
Badness: 0.047624
13-limit
Comma list: 540/539, 1575/1573, 4096/4095, 8019/8000
Mapping: [⟨5 8 12 14 18 18], ⟨0 -2 -10 1 -18 13]]
POTE generator: ~8/7 = 230.668
Vals: 5ef, 125, 130, 255, 385, 515, 900ef
Badness: 0.041043
- Sengasec (10 & 55)
7-limit
Comma list: 686/675, 16807/16384
Mapping: [⟨5 7 13 14], ⟨0 2 -3 0]]
POTE generator: ~16/15 = 111.113
Vals: 10, 55, 65, 140dd, 205ddd, 270ddd
Badness: 0.156259
11-limit
Comma list: 243/242, 385/384, 686/675
Mapping: [⟨5 7 13 14 15], ⟨0 2 -3 0 5]]
POTE generator: ~16/15 = 110.659
Vals: 10, 55, 65
Badness: 0.081607
13-limit
Comma list: 105/104, 144/143, 243/242, 686/675
Mapping: [⟨5 7 13 14 15 19], ⟨0 2 -3 0 5 -1]]
POTE generator: ~16/15 = 110.910
Vals: 10, 55, 65
Badness: 0.056390
4 April 2021
- Qinto (10 & 75)
11-limit
Comma list: 225/224, 385/384, 332750/321489
Mapping: [⟨5 7 13 15 14], ⟨0 2 -3 -2 7]]
POTE generator: ~15/14 = 112.448
Vals: 10, 75, 160cde
Badness: 0.127732
10 April 2021
- Monzism (53 & 559)
7-limit
Comma list: 4375/4374, [-55 30 2 1⟩
Mapping: [⟨1 2 10 -25], ⟨0 -2 -37 134]]
POTE generator: ~310078125/268435456 = 249.0207
Vals: 53, 559, 612, 1277, 1889
Badness: 0.046569
11-limit
Comma list: 4375/4374, 41503/41472, 184549376/184528125
Mapping: [⟨1 2 10 -25 46], ⟨0 -2 -37 134 -205]]
POTE generator: ~231/200 = 249.0193
Vals: 53, 559, 612
Badness: 0.057083
13-limit
Comma list: 2200/2197, 4096/4095, 4375/4374, 40656/40625
Mapping: [⟨1 2 10 -25 46 23], ⟨0 -2 -37 134 -205 -93]]
POTE generator: ~231/200 = 249.0199
Vals: 53, 559, 612
Badness: 0.053780
18 April 2021
- Houborizic (53 & 113)
7-limit
Comma list: 225/224, 1250000/1240029
Mapping: [⟨1 3 6 13], ⟨0 -5 -13 -36]]
POTE generator: ~243/200 = 339.763
Vals: 7d, 46d, 53, 113, 166
Badness: 0.066638
11-limit
Comma list: 225/224, 385/384, 1250000/1240029
Mapping: [⟨1 3 6 13 -9], ⟨0 -5 -13 -36 44]]
POTE generator: ~243/200 = 339.763
Vals: 53, 113, 166
Badness: 0.067891
13-limit
Comma list: 225/224, 325/324, 385/384, 2200/2197
Mapping: [⟨1 3 6 13 -9 2], ⟨0 -5 -13 -36 44 6]]
POTE generator: ~39/32 = 339.764
Vals: 53, 113, 166
Badness: 0.032996
- Houbor (7d & 53)
11-limit
Comma list: 121/120, 225/224, 2200/2187
Mapping: [⟨1 3 6 13 6], ⟨0 -5 -13 -36 -9]]
POTE generator: ~11/9 = 339.814
Vals: 7d, 46d, 53, 60e, 113e
Badness: 0.045232
13-limit
Comma list: 121/120, 225/224, 275/273, 325/324
Mapping: [⟨1 3 6 13 6 2], ⟨0 -5 -13 -36 -9 6]]
POTE generator: ~11/9 = 339.784
Vals: 7d, 46d, 53, 60e, 113e
Badness: 0.031331
- Gamity (46 & 113)
7-limit
Comma list: 1029/1024, 1071875/1062882
Mapping: [⟨1 -2 -7 4], ⟨0 15 39 -5]]
POTE generator: ~189/160 = 286.787
Vals: 46, 113, 159
Badness: 0.125733
11-limit
Comma list: 385/384, 441/440, 1071875/1062882
Mapping: [⟨1 -2 -7 4 8], ⟨0 15 39 -5 -19]]
POTE generator: ~33/28 = 286.797
Vals: 46, 113, 159
Badness: 0.051111
13-limit
Comma list: 325/324, 364/363, 385/384, 10985/10976
Mapping: [⟨1 -2 -7 4 8 8], ⟨0 15 39 -5 -19 -18]]
POTE generator: ~13/11 = 286.789
Vals: 46, 113, 159
Badness: 0.030297
17-limit
Comma list: 273/272, 325/324, 364/363, 385/384, 3773/3757
Mapping: [⟨1 -2 -7 4 8 8 6], ⟨0 15 39 -5 -19 -18 -8]]
POTE generator: ~13/11 = 286.795
Vals: 46, 113, 159
Badness: 0.022036
19 April 2021
- Familia (113 & 152)
7-limit
Comma list: 16875/16807, 1600000/1594323
Mapping: [⟨1 8 19 20], ⟨0 -25 -65 -67]]
POTE generator: ~11907/10000 = 307.941
Vals: 113, 152, 265, 417, 986d
Badness: 0.144551
11-limit
Comma list: 540/539, 1375/1372, 1600000/1594323
Mapping: [⟨1 8 19 20 5], ⟨0 -25 -65 -67 -6]]
POTE generator: ~3200/2673 = 307.906
Vals: 113, 152, 417, 569de, 721de
Badness: 0.051740
25 April 2021
- Sabric (53 & 190)
7-limit
Comma list: 4375/4374, 2109375/2097152
Mapping: [⟨1 0 3 -11], ⟨0 7 -3 61]]
POTE generator: ~75/64 = 271.607
Vals: 53, 137d, 190, 243
Badness: 0.088355
- Quadrawell (31 & 212)
7-limit
Comma list: 2401/2400, 2109375/2097152
Mapping: [⟨1 7 0 3], ⟨0 -28 12 -1]]
POTE generator: ~8/7 = 232.094
Vals: 31, 119, 150, 181, 212, 243, 698cd, 941cd
Badness: 0.075754
11-limit
Comma list: 385/384, 1375/1372, 14641/14580
Mapping: [⟨1 7 0 3 11], ⟨0 -28 12 -1 -39]]
POTE generator: ~8/7 = 232.083
Vals: 31, 119, 150, 181, 212, 455ee, 667cdee
Badness: 0.036493
- Sfour (45 & 46)
11-limit
Comma list: 385/384, 2401/2376, 4375/4374
Mapping: [⟨1 2 3 3 3], ⟨0 -19 -31 -9 21]]
POTE generator: ~49/48 = 26.246
Vals: 45, 46, 91, 137d
Badness: 0.076567
13-limit
Comma list: 196/195, 364/363, 385/384, 4375/4374
Mapping: [⟨1 2 3 3 3 3], ⟨0 -19 -31 -9 21 32]]
POTE generator: ~49/48 = 26.239
Vals: 45, 46, 91, 137d
Badness: 0.051893
26 April 2021
- Rainwell (31 & 265)
7-limit
Comma list: 16875/16807, 2100875/2097152
Mapping: [⟨1 14 -3 6], ⟨0 -35 15 -9]]
POTE generator: ~2625/2048 = 425.673
Vals: 31, 172, 203, 234, 265, 296
Badness: 0.143488
11-limit
Comma list: 540/539, 1375/1372, 2100875/2097152
Mapping: [⟨1 14 -3 6 29], ⟨0 -35 15 -9 -72]]
POTE generator: ~2625/2048 = 425.679
Vals: 31, 172e, 203e, 234, 265, 296, 919bc, 1215bcc, 1511bcc
Badness: 0.052774
27 April 2021
- Sengage (49f&50)
13-limit
Comma list: 144/143, 196/195, 364/363, 625/624
Mapping: [⟨1 1 2 2 3 3], ⟨0 29 16 40 23 35]]
POTE generator: ~99/98 = 24.234
Vals: 49f, 50, 99ef
Badness: 0.037416
30 April 2021
- Marfifths (19 & 140)
7-limit
Comma list: 10976/10935, 15625/15552
Mapping: [⟨1 -6 -4 -17], ⟨0 18 15 47]]
POTE generator: ~75/56 = 505.705
Vals: 19, 121, 140, 579, 719, 859bcd, 999bcd, 1858bbccdd
Badness: 0.063448
11-limit
Comma list: 385/384, 6250/6237, 10976/10935
Mapping: [⟨1 -6 -4 -17 22], ⟨0 18 15 47 -44]]
POTE generator: ~75/56 = 505.684
Vals: 19, 140, 159, 299
Badness: 0.058902
13-limit
Comma list: 325/324, 385/384, 625/624, 10976/10935
Mapping: [⟨1 -6 -4 -17 22 -14], ⟨0 18 15 47 -44 42]]
POTE generator: ~75/56 = 505.686
Vals: 19, 140, 159, 299
Badness: 0.030082
- Diatessic (121 & 140)
11-limit
Comma list: 1375/1372, 2200/2187, 5632/5625
Mapping: [⟨1 -6 -4 -17 -37], ⟨0 18 15 47 96]]
POTE generator: ~75/56 = 505.740
Vals: 19e, 121, 140, 261, 401, 662bd
Badness: 0.061172
13-limit
Comma list: 325/324, 352/351, 625/624, 1375/1372
Mapping: [⟨1 -6 -4 -17 -37 -14], ⟨0 18 15 47 96 42]]
POTE generator: ~75/56 = 505.740
Vals: 19e, 121, 140, 261, 401, 662bd
Badness: 0.028671
- Marf (19 & 121)
11-limit
Comma list: 540/539, 896/891, 15625/15552
Mapping: [⟨1 -6 -4 -17 14], ⟨0 18 15 47 -25]]
POTE generator: ~75/56 = 505.769
Vals: 19, 102d, 121
Badness: 0.075112
13-limit
Comma list: 325/324, 540/539, 625/624, 896/891
Mapping: [⟨1 -6 -4 -17 14 -14], ⟨0 18 15 47 -25 42]]
POTE generator: ~75/56 = 505.771
Vals: 19, 121
Badness: 0.038317
Proposed in May 2021
1 May 2021
- Garistearn (94 & 282)
7-limit
Comma list: 118098/117649, 33554432/33480783
Mapping: [⟨94 149 0 264], ⟨0 0 1 0]]
POTE generator: ~5/4 = 386.7805
Vals: 94, 282, 658d, 940dd
Badness: 0.307043
11-limit
Comma list: 540/539, 4000/3993, 33554432/33480783
Mapping: [⟨94 149 0 264 107], ⟨0 0 1 0 1]]
POTE generator: ~5/4 = 386.5968
Vals: 94, 282, 376, 658de
Badness: 0.082255
13-limit
Comma list: 540/539, 729/728, 1575/1573, 28672/28561
Mapping: [⟨94 149 0 264 107 348], ⟨0 0 1 0 1 0]]
POTE generator: ~5/4 = 386.8141
Vals: 94, 282
Badness: 0.045941
17-limit
Comma list: 540/539, 729/728, 1156/1155, 1575/1573, 2880/2873
Mapping: [⟨94 149 0 264 107 348 166], ⟨0 0 1 0 1 0 1]]
POTE generator: ~5/4 = 386.8420
Vals: 94, 282
Badness: 0.027608
- Decistearn (80 & 130)
7-limit
Comma list: 3136/3125, 118098/117649
Mapping: [⟨10 17 24 30], ⟨0 -3 -2 -5]]
POTE generator: ~6/5 = 313.960
Vals: 50, 80, 130, 470cd, 600cd, 730cd, 860ccd
Badness: 0.095543
11-limit
Comma list: 540/539, 3136/3125, 4000/3993
Mapping: [⟨10 17 24 30 35], ⟨0 -3 -2 -5 -1]]
POTE generator: ~6/5 = 314.079
Vals: 50, 80, 130, 210e, 340ce
Badness: 0.038556
13-limit
Comma list: 351/350, 364/363, 540/539, 3136/3125
Mapping: [⟨10 17 24 30 35 37], ⟨0 -3 -2 -5 -1 0]]
POTE generator: ~6/5 = 313.947
Vals: 50, 80, 130
Badness: 0.026895
17-limit
Comma list: 221/220, 289/288, 351/350, 540/539, 1632/1625
Mapping: [⟨10 17 24 30 35 37 42], ⟨0 -3 -2 -5 -1 0 -3]]
POTE generator: ~6/5 = 313.931
Vals: 50, 80, 130
Badness: 0.024234
19-limit
Comma list: 221/220, 289/288, 351/350, 361/360, 456/455, 476/475
Mapping: [⟨10 17 24 30 35 37 42 44], ⟨0 -3 -2 -5 -1 0 -3 -4]]
POTE generator: ~6/5 = 313.949
Vals: 50, 80, 130
Badness: 0.018232
- Quadrant (12 & 224)
7-limit
Comma list: 32805/32768, 390625/388962
Mapping: [⟨4 6 12 17], ⟨0 1 -8 -17]]
POTE generator: ~28/25 = 198.177
Vals: 12, 200, 212, 224, 436, 660, 1096c
Badness: 0.110242
11-limit
Comma list: 1375/1372, 6250/6237, 32805/32768
Mapping: [⟨4 6 12 17 23], ⟨0 1 -8 -17 -27]]
POTE generator: ~28/25 = 198.181
Vals: 12, 212, 224, 436, 660
Badness: 0.045738
13-limit
Comma list: 625/624, 1375/1372, 2080/2079, 10648/10647
Mapping: [⟨4 6 12 17 23 26], ⟨0 1 -8 -17 -27 -33]]
POTE generator: ~28/25 = 198.184
Vals: 212, 224, 436, 660
Badness: 0.027243
- Quintilischis (12 & 253)
7-limit
Comma list: 32805/32768, 9765625/9680832
Mapping: [⟨1 2 -1 -4], ⟨0 -5 40 82]]
POTE generator: ~625/588 = 99.625
Vals: 12, 253, 265
Badness: 0.253966
11-limit
Comma list: 1375/1372, 4375/4356, 32805/32768
Mapping: [⟨1 2 -1 -4 -7], ⟨0 -5 40 82 126]]
POTE generator: ~35/33 = 99.616
Vals: 12, 253, 265, 518c, 783cc
Badness: 0.113044
13-limit
Comma list: 1375/1372, 2080/2079, 4375/4356, 10648/10647
Mapping: [⟨1 2 -1 -4 -7 -9], ⟨0 -5 40 82 126 153]]
POTE generator: ~35/33 = 99.612
Vals: 12f, 253, 518c, 771cc
Badness: 0.069127
17-limit
Comma list: 375/374, 595/594, 833/832, 1375/1372, 8624/8619
Mapping: [⟨1 2 -1 -4 -7 -9 5], ⟨0 -5 40 82 126 153 -11]]
POTE generator: ~18/17 = 99.612
Vals: 12f, 253, 518c, 771cc
Badness: 0.045992
19-limit
Comma list: 375/374, 400/399, 495/494, 595/594, 1375/1372, 3978/3971
Mapping: [⟨1 2 -1 -4 -7 -9 5 4], ⟨0 -5 40 82 126 153 -11 3]]
POTE generator: ~18/17 = 99.615
Vals: 12f, 253, 265, 518ch
Badness: 0.038155
2 May 2021
- Helenoid (53 & 118)
11-limit
Comma list: 385/384, 3388/3375, 4375/4374
Mapping: [⟨1 0 15 -59 51], ⟨0 1 -8 39 -30]]
POTE generator: ~3/2 = 701.722
Vals: 53, 118, 289e, 407de
Badness: 0.038863
13-limit
Comma list: 352/351, 385/384, 625/624, 729/728
Mapping: [⟨1 0 15 -59 51 56], ⟨0 1 -8 39 -30 -33]]
POTE generator: ~3/2 = 701.745
Vals: 53, 118, 171e
Badness: 0.033677
17-limit
Comma list: 352/351, 385/384, 561/560, 625/624, 729/728
Mapping: [⟨1 0 15 -59 51 56 -91], ⟨0 1 -8 39 -30 -33 60]]
POTE generator: ~3/2 = 701.742
Vals: 53, 118, 171e, 289ef, 460eef
Badness: 0.028891
- Ponta (53 & 224)
11-limit
Comma list: 540/539, 4375/4374, 32805/32768
Mapping: [⟨1 0 15 -59 135], ⟨0 1 -8 39 -83]]
POTE generator: ~3/2 = 701.783
Vals: 53, 171, 224, 1291cde, 1515cde, 1739cddee, 1963cddee, 2187ccddee
Badness: 0.048692
13-limit
Comma list: 540/539, 625/624, 729/728, 2200/2197
Mapping: [⟨1 0 15 -59 135 56], ⟨0 1 -8 39 -83 -33]]
POTE generator: ~3/2 = 701.784
Vals: 53, 171, 224
Badness: 0.023616
17-limit
Comma list: 375/374, 540/539, 625/624, 729/728, 2200/2197
Mapping: [⟨1 0 15 -59 135 56 -91], ⟨0 1 -8 39 -83 -33 60]]
POTE generator: ~3/2 = 701.777
Vals: 53, 171, 224, 395e, 619eg
Badness: 0.022853
- Pontic (118 & 171)
11-limit
Comma list: 441/440, 4375/4374, 32805/32768
Mapping: [⟨1 0 15 -59 -136], ⟨0 1 -8 39 88]]
POTE generator: ~3/2 = 701.724
Vals: 53e, 118, 289, 407d, 696d
Badness: 0.049573
13-limit
Comma list: 441/440, 625/624, 729/728, 3584/3575
Mapping: [⟨1 0 15 -59 -136 56], ⟨0 1 -8 39 88 -33]]
POTE generator: ~3/2 = 701.738
Vals: 53e, 118, 171, 289f, 460ef
Badness: 0.045308
17-limit
Comma list: 441/440, 595/594, 625/624, 729/728, 2880/2873
Mapping: [⟨1 0 15 -59 -136 56 -91], ⟨0 1 -8 39 88 -33 60]]
POTE generator: ~3/2 = 701.740
Vals: 53e, 118, 171, 289f, 460ef
Badness: 0.029618
- Bipont (118 & 224)
11-limit
Comma list: 3025/3024, 4375/4374, 32805/32768
Mapping: [⟨2 3 6 -1 2], ⟨0 1 -8 39 29]]
POTE generator: ~3/2 = 701.757
Vals: 106, 118, 224, 342, 1592c, 1934ce, 2276cde, 2618cde, 2960cde
Badness: 0.014629
13-limit
Comma list: 625/624, 729/728, 1575/1573, 4096/4095
Mapping: [⟨2 3 6 -1 2 13], ⟨0 1 -8 39 29 -33]]
POTE generator: ~3/2 = 701.773
Vals: 106, 118, 224, 566f, 790f
Badness: 0.030172
- Counterbipont (224 & 566)
13-limit
Comma list: 1716/1715, 2080/2079, 3025/3024, 32805/32768
Mapping: [⟨2 3 6 -1 2 -6], ⟨0 1 -8 39 29 79]]
POTE generator: ~3/2 = 701.769
Vals: 106f, 118f, 224, 342f, 566, 1356cf, 1922cff
Badness: 0.025547
- Quadrapont (224 & 460)
13-limit
Comma list: 3025/3024, 4225/4224, 4375/4374, 32805/32768
Mapping: [⟨4 6 12 -2 4 7], ⟨0 1 -8 39 29 23]]
POTE generator: ~3/2 = 701.756
Vals: 224, 460, 684, 2276cde, 2960cde, 3644bccddee
Badness: 0.021025
3 May 2021
- Decimetra (50 & 140)
7-limit
Comma list: 703125/702464, 823543/820125
Mapping: [⟨10 15 23 27], ⟨0 4 1 5]]
POTE generator: ~5/4 = 385.495
Vals: 50, 90, 140, 330, 470, 800cd
Badness: 0.121818
11-limit
Comma list: 385/384, 9801/9800, 391314/390625
Mapping: [⟨10 15 23 27 35], ⟨0 4 1 5 -2]]
POTE generator: ~5/4 = 385.396
Vals: 50, 90, 140, 190, 330e, 520de
Badness: 0.056915
13-limit
Comma list: 385/384, 625/624, 847/845, 4459/4455
Mapping: [⟨10 15 23 27 35 37], ⟨0 4 1 5 -2 0]]
POTE generator: ~5/4 = 385.419
Vals: 50, 90, 140, 190, 330e
Badness: 0.029297
- Stockhausenic (140 & 183)
7-limit
Comma list: 703125/702464, 4096000/4084101
Mapping: [⟨1 4 0 -1], ⟨0 -26 25 41]]
POTE generator: ~16/15 = 111.453
Vals: 43, 97, 140, 183, 323, 786, 1109d, 1432d
Badness: 0.088753
11-limit
Comma list: 1375/1372, 5632/5625, 35937/35840
Mapping: [⟨1 4 0 -1 -1], ⟨0 -26 25 41 48]]
POTE generator: ~16/15 = 111.460
Vals: 43, 97e, 140, 183, 323, 506, 829de, 1335ddee
Badness: 0.056043
13-limit
Comma list: 676/675, 1001/1000, 1375/1372, 4096/4095
Mapping: [⟨1 4 0 -1 -1 5], ⟨0 -26 25 41 48 -14]]
POTE generator: ~16/15 = 111.458
Vals: 43, 97e, 140, 183, 323, 829def, 1152deef
Badness: 0.029947
17-limit
Comma list: 442/441, 561/560, 676/675, 715/714, 4096/4095
Mapping: [⟨1 4 0 -1 -1 5 0], ⟨0 -26 25 41 48 -14 44]]
POTE generator: ~16/15 = 111.459
Vals: 43, 97e, 140, 183, 323, 506, 829defg
Badness: 0.019205
4 May 2021
- Decavish (50 & 270)
7-limit
Comma list: 420175/419904, 2202927104/2197265625
Mapping: [⟨10 13 22 24], ⟨0 7 3 10]]
POTE generator: ~25/24 = 71.129
Vals: 50, 220, 270, 1400, 1670, 1940, 2210c, 2480c
Badness: 0.114531
11-limit
Comma list: 9801/9800, 41503/41472, 172032/171875
Mapping: [⟨10 13 22 24 35], ⟨0 7 3 10 -1]]
POTE generator: ~25/24 = 71.141
Vals: 50, 220, 270, 860, 1130, 1400, 3070cd, 4470cde
Badness: 0.036938
13-limit
Comma list: 1001/1000, 4225/4224, 4459/4455, 6656/6655
Mapping: [⟨10 13 22 24 35 37], ⟨0 7 3 10 -1 0]]
POTE generator: ~25/24 = 71.151
Vals: 50, 220, 270, 590, 860, 1130
Badness: 0.021906
- Bronzoid (109 & 142)
7-limit
Comma list: 2097152/2083725, 52734375/52706752
Mapping: [⟨1 14 -11 -9], ⟨0 -41 44 39]]
POTE generator: ~315/256 = 363.347
Vals: 33, 76b, 109, 142, 251
Badness: 0.382300
11-limit
Comma list: 1331/1323, 1375/1372, 2097152/2083725
Mapping: [⟨1 14 -11 -9 8], ⟨0 -41 44 39 -15]]
POTE generator: ~315/256 = 363.344
Vals: 33, 76b, 109, 142, 251
Badness: 0.152568
5 May 2021
- Ennealimmia (171 & 270)
11-limit
Comma list: 2401/2400, 4375/4374, 131072/130977
Mapping: [⟨9 1 1 12 124], ⟨0 2 3 2 -14]]
POTE generator: ~6/5 = 315.591
Vals: 99, 171, 270, 711, 981, 1251, 2232e
Badness: 0.026463
13-limit
Comma list: 2080/2079, 2401/2400, 4096/4095, 4375/4374
Mapping: [⟨9 1 1 12 124 93], ⟨0 2 3 2 -14 -9]]
POTE generator: ~6/5 = 315.600
Vals: 99, 171, 270, 711, 981, 1692e, 2673e
Badness: 0.016607
10 May 2021
- Paralytic (118 & 217)
(Name revised from Paraklein on 13 May 2021)
11-limit
Comma list: 441/440, 3136/3125, 4375/4374
Mapping: [⟨1 5 6 12 25], ⟨0 -13 -14 -35 -82]]
POTE generator: ~6/5 = 315.220
Vals: 19e, 99e, 118, 217, 335, 552d, 887dd
Badness: 0.036027
13-limit
Comma list: 441/440, 1001/1000, 3136/3125, 4375/4374
Mapping: [⟨1 5 6 12 25 -16], ⟨0 -13 -14 -35 -82 75]]
POTE generator: ~6/5 = 315.214
Vals: 99e, 118, 217, 552d, 769de
Badness: 0.044710
11 May 2021
- Cotoneum (41 & 217)
7-limit
Comma list: 10976/10935, 823543/819200
Mapping: [⟨1 2 -18 -3], ⟨0 -1 49 14]]
POTE generator: ~3/2 = 702.317
Vals: 41, 135c, 176, 217, 258, 475
Badness: 0.105632
11-limit
Comma list: 441/440, 10976/10935, 16384/16335
Mapping: [⟨1 2 -18 -3 13], ⟨0 -1 49 14 -23]]
POTE generator: ~3/2 = 702.303
Vals: 41, 176, 217
Badness: 0.050966
13-limit
Comma list: 364/363, 441/440, 3584/3575, 10976/10935
Mapping: [⟨1 2 -18 -3 13 29], ⟨0 -1 49 14 -23 -61]]
POTE generator: ~3/2 = 702.306
Vals: 41, 176, 217
Badness: 0.036951
17-limit
Comma list: 364/363, 441/440, 595/594, 3584/3575, 8281/8262
Mapping: [⟨1 2 -18 -3 13 29 41], ⟨0 -1 49 14 -23 -61 -89]]
POTE generator: ~3/2 = 702.307
Vals: 41, 176, 217
Badness: 0.029495
19-limit
Comma list: 343/342, 364/363, 441/440, 595/594, 1216/1215, 1729/1728
Mapping: [⟨1 2 -18 -3 13 29 41 -14], ⟨0 -1 49 14 -23 -61 -89 44]]
POTE generator: ~3/2 = 702.308
Vals: 41, 176, 217
Badness: 0.021811
12 May 2021
- Fog (12 & 63)
7-limit
Comma list: 225/224, 156250/151263
Mapping: [⟨3 5 6 7], ⟨0 -1 4 6]]
POTE generator: ~3/2 = 704.118
Vals: 12, 51, 63, 75
Badness: 0.086866
11-limit
Comma list: 100/99, 225/224, 2420/2401
Mapping: [⟨3 5 6 7 8], ⟨0 -1 4 6 10]]
POTE generator: ~3/2 = 704.411
Vals: 12, 51, 63, 138de
Badness: 0.051348
- Countermiracle (31 & 145)
7-limit
Comma list: 6144/6125, 50421/50000
Mapping: [⟨1 4 3 3], ⟨0 -25 -7 -2]]
POTE generator: ~343/320 = 115.917
Vals: 31, 114, 145, 176, 559cc, 735cc
Badness: 0.102326
11-limit
Comma list: 441/440, 3388/3375, 6144/6125
Mapping: [⟨1 4 3 3 8], ⟨0 -25 -7 -2 -47]]
POTE generator: ~77/72 = 115.916
Vals: 31, 114e, 145, 176
Badness: 0.039162
13 May 2021
- Paraklein (19e & 118)
13-limit
Comma list: 196/195, 352/351, 625/624, 729/728
Mapping: [⟨1 5 6 12 25 15], ⟨0 -13 -14 -35 -82 -43]]
POTE generator: ~6/5 = 315.225
Vals: 19e, 99ef, 118, 217ff, 335ff
Badness: 0.037618
- Countermiraculous (31 & 145)
13-limit
Comma list: 196/195, 352/351, 1001/1000, 6144/6125
Mapping: [⟨1 4 3 3 8 1], ⟨0 -25 -7 -2 -47 28]]
POTE generator: ~77/72 = 115.880
Vals: 31, 83e, 114e, 145, 321ceff
Badness: 0.039271
- Counterbenediction (31 & 176)
13-limit
Comma list: 351/350, 441/440, 3146/3125, 3584/3575
Mapping: [⟨1 4 3 3 8 -2], ⟨0 -25 -7 -2 -47 59]]
POTE generator: ~77/72 = 115.933
Vals: 31, 145f, 176, 207, 383c, 590cc
Badness: 0.045569
- Counterrevelation (31 & 114)
11-limit
Comma list: 121/120, 176/175, 50421/50000
Mapping: [⟨1 4 3 3 5], ⟨0 -25 -7 -2 -16]]
POTE generator: ~343/320 = 115.919
Vals: 31, 114, 145e, 176e
Badness: 0.064070
13-limit
Comma list: 121/120, 176/175, 196/195, 13750/13689
Mapping: [⟨1 4 3 3 5 1], ⟨0 -25 -7 -2 -16 28]]
POTE generator: ~273/256 = 115.862
Vals: 31, 83, 114, 145e
Badness: 0.057497
- Septant (224 & 301)
7-limit
Comma list: 32805/32768, 516560652/514714375
Mapping: [⟨7 11 17 19], ⟨0 1 -8 7]]
POTE generator: ~3/2 = 701.702
Vals: 77, 147, 224, 301, 525, 826, 1351
Badness: 0.111142
11-limit
Comma list: 3025/3024, 24057/24010, 32805/32768
Mapping: [⟨7 11 17 19 23], ⟨0 1 -8 7 13]]
POTE generator: ~3/2 = 701.719
Vals: 77, 147, 224, 301, 525
Badness: 0.044122
13-limit
Comma list: 729/728, 1716/1715, 2200/2197, 3025/3024
Mapping: [⟨7 11 17 19 23 26], ⟨0 1 -8 7 13 -1]]
POTE generator: ~3/2 = 701.724
Vals: 77, 147, 224, 525
Badness: 0.024706
15 May 2021
- Terminal (12 & 159)
11-limit
Comma list: 441/440, 4375/4356, 32805/32768
Mapping: [⟨3 5 5 4 4], ⟨0 -1 8 18 26]]
POTE generator: ~35/33 = 98.176
Vals: 12, 147de, 159, 330
Badness: 0.059502
13-limit
Comma list: 364/363, 441/440, 625/624, 13720/13689
Mapping: [⟨3 5 5 4 4 3], ⟨0 -1 8 18 26 33]]
POTE generator: ~35/33 = 98.179
Vals: 12f, 147def, 159, 330
Badness: 0.037082
17-limit
Comma list: 364/363, 375/374, 441/440, 595/594, 8624/8619
Mapping: [⟨3 5 5 4 4 3 13], ⟨0 -1 8 18 26 33 -3]]
POTE generator: ~18/17 = 98.190
Vals: 12f, 147def, 159, 171, 330
Badness: 0.027073
- Hemiterm (12 & 342)
11-limit
Comma list: 9801/9800, 32805/32768, 151263/151250
Mapping: [⟨6 10 10 8 7], ⟨0 -1 8 18 28]]
POTE generator: ~35/33 = 98.254
Vals: 12, 342, 1380, 1722, 2064, 2406c
Badness: 0.029438
18 May 2021
- Sedia (10 & 161)
11-limit
Comma list: 243/242, 441/440, 939524096/935859375
Mapping: [⟨1 -1 6 4 -3], ⟨0 26 -37 -12 65]]
POTE generator: ~15/14 = 119.279
Vals: 10, 151, 161, 171, 332
Badness: 0.090687
13-limit
Comma list: 243/242, 441/440, 2200/2197, 3584/3575
Mapping: [⟨1 -1 6 4 -3 4], ⟨0 26 -37 -12 65 -3]]
POTE generator: ~15/14 = 119.281
Vals: 10, 151, 161, 171, 332, 835eeff
Badness: 0.045773
17-limit
Comma list: 243/242, 441/440, 833/832, 2200/2197, 3584/3575
Mapping: [⟨1 -1 6 4 -3 4 2], ⟨0 26 -37 -12 65 -3 21]]
POTE generator: ~15/14 = 119.281
Vals: 10, 151, 161, 171, 332, 503ef, 835eeff
Badness: 0.027322
21 May 2021
- Marthirds (19 & 193)
7-limit
Comma list: 15625/15552, 2460375/2458624
Mapping: [⟨1 -6 -4 -19], ⟨0 24 20 69]]
POTE generator: ~56/45 = 379.252
Vals: 19, 193, 212, 617c, 829c
Badness: 0.104253
11-limit
Comma list: 1375/1372, 15625/15552, 19712/19683
Mapping: [⟨1 -6 -4 -19 -43], ⟨0 24 20 69 147]]
POTE generator: ~56/45 = 379.257
Vals: 19e, 193, 212, 405, 617c, 1022cce
Badness: 0.075624
13-limit
Comma list: 325/324, 625/624, 1375/1372, 19712/19683
Mapping: [⟨1 -6 -4 -19 -43 -14], ⟨0 24 20 69 147 56]]
POTE generator: ~56/45 = 379.256
Vals: 19e, 193, 212, 405f, 617cff
Badness: 0.043728
22 May 2021
- Counterkleismic (19 & 224)
7-limit
Comma list: 4375/4374, 158203125/157351936
Mapping: [⟨1 -5 -4 -18], ⟨0 25 24 79]]
POTE generator: ~6/5 = 316.060
Vals: 19, 205, 224, 243, 467
Badness: 0.090553
11-limit
Comma list: 540/539, 4375/4374, 2097152/2096325
Mapping: [⟨1 -5 -4 -18 19], ⟨0 25 24 79 -59]]
POTE generator: ~6/5 = 316.071
Vals: 19, 205, 224
Badness: 0.070952
13-limit
Comma list: 540/539, 625/624, 729/728, 10985/10976
Mapping: [⟨1 -5 -4 -18 19 -15], ⟨0 25 24 79 -59 71]]
POTE generator: ~6/5 = 316.070
Vals: 19, 205, 224, 1587cde, 1811ccdef, 2035ccddeef, 2259ccddeef, 2483ccddeef, 2707ccddeef
Badness: 0.033874
- Counterlytic (19e & 224)
11-limit
Comma list: 1375/1372, 4375/4374, 496125/495616
Mapping: [⟨1 -5 -4 -18 -40], ⟨0 25 24 79 165]]
POTE generator: ~6/5 = 316.065
Vals: 19e, 205e, 224
Badness: 0.065400
13-limit
Comma list: 625/624, 729/728, 1375/1372, 10985/10976
Mapping: [⟨1 -5 -4 -18 -40 -15], ⟨0 25 24 79 165 71]]
POTE generator: ~6/5 = 316.065
Vals: 19e, 205e, 224
Badness: 0.029782
24 May 2021
- Geb (171 & 506)
5-limit
Comma list: [-31 43 -16⟩
Mapping: [⟨1 -3 -10], ⟨0 16 43]]
POTE generator: ~8000/6561 = 343.868
Vals: 7, 143c, 150c, 157, 164, 171, 506, 677, 848
Badness: 0.118577
7-limit
Comma list: 703125/702464, 14348907/14336000
Mapping: [⟨1 -3 -10 -29], ⟨0 16 43 111]]
POTE generator: ~8000/6561 = 343.863
Vals: 171, 1190, 1361, 1532, 1703, 1874, 2045, 2216, 4603bc
Badness: 0.048770
26 May 2021
- Hemidimfi (130 & 193)
7-limit
Comma list: 589824/588245, 2460375/2458624
Mapping: [⟨1 -4 14 -1], ⟨0 22 -46 15]]
POTE generator: ~343/288 = 304.639
Vals: 63, 130, 323, 453, 776
Badness: 0.083491
11-limit
Comma list: 540/539, 12005/11979, 16384/16335
Mapping: [⟨1 -4 14 -1 6], ⟨0 22 -46 15 -10]]
POTE generator: ~105/88 = 304.641
Vals: 63, 130, 193, 323e
Badness: 0.052236
13-limit
Comma list: 364/363, 540/539, 676/675, 4096/4095
Mapping: [⟨1 -4 14 -1 6 7], ⟨0 22 -46 15 -10 -13]]
POTE generator: ~105/88 = 304.639
Vals: 63, 130, 193, 323e, 453e, 776eef
Badness: 0.030433
29 May 2021
- Maquiloid (9 & 56)
7-limit
Comma list: 686/675, 65625/65536
Mapping: [⟨1 -6 5 -3], ⟨0 17 -6 13]]
POTE generator: ~175/128 = 535.482
Vals: 9, 38b, 47b, 56, 65, 121d, 186dd
Badness: 0.188977
11-limit
Comma list: 245/242, 385/384, 686/675
Mapping: [⟨1 -6 5 -3 -1], ⟨0 17 -6 13 10]]
POTE generator: ~15/11 = 535.485
Vals: 9, 38be, 47b, 56, 65, 121d, 186dde
Badness: 0.066234
13-limit
Comma list: 91/90, 169/168, 245/242, 385/384
Mapping: [⟨1 -6 5 -3 -1 -3], ⟨0 17 -6 13 10 15]]
POTE generator: ~15/11 = 535.501
Vals: 9, 38be, 47b, 56, 65f, 121df, 186ddeff
Badness: 0.041850
30 May 2021
- Paramity (53 & 311)
7-limit
Comma list: 65625/65536, 1600000/1594323
Mapping: [⟨1 3 6 -17], ⟨0 -5 -13 70]]
POTE generator: ~243/200 = 339.553
Vals: 53, 205d, 258, 311, 675, 986, 1297c, 2283bc
Badness: 0.113655
11-limit
Comma list: 6250/6237, 19712/19683, 41503/41472
Mapping: [⟨1 3 6 -17 36], ⟨0 -5 -13 70 -115]]
POTE generator: ~243/200 = 339.554
Vals: 53, 205de, 258, 311, 675, 986
Badness: 0.064853
13-limit
Comma list: 625/624, 2080/2079, 2200/2197, 19712/19683
Mapping: [⟨1 3 6 -17 36 17], ⟨0 -5 -13 70 -115 -47]]
POTE generator: ~243/200 = 339.554
Vals: 53, 205de, 258, 311, 675, 986, 1661cf
Badness: 0.030347
17-limit
Comma list: 625/624, 1225/1224, 2080/2079, 2200/2197, 2431/2430
Mapping: [⟨1 3 6 -17 36 17 -31], ⟨0 -5 -13 70 -115 -47 124]]
POTE generator: ~243/200 = 339.555
Vals: 53, 205deg, 258g, 311, 675, 1661cf, 2336bccf, 3011bccf
Badness: 0.024118
19-limit
Comma list: 625/624, 1225/1224, 1540/1539, 1729/1728, 2080/2079, 2200/2197
Mapping: [⟨1 3 6 -17 36 17 -31 15], ⟨0 -5 -13 70 -115 -47 124 -38]]
POTE generator: ~208/171 = 339.555
Vals: 53, 205deg, 258g, 311, 675, 986, 1661cfh
Badness: 0.017420
Proposed in June 2021
1 June 2021
- Schisennealimmal (171 & 342)
11-limit
Comma list: 2401/2400, 4375/4374, 32805/32768
Mapping: [⟨171 271 397 480 0], ⟨0 0 0 0 1]]
POTE generator: ~11/8 = 550.954
Vals: 171, 342
Badness: 0.031739
13-limit
Comma list: 625/624, 729/728, 2205/2197, 2401/2400
Mapping: [⟨171 271 397 480 0 633], ⟨0 0 0 0 1 0]]
POTE generator: ~11/8 = 551.322
Vals: 171, 342, 855ff, 1197fff
Badness: 0.054029
17-limit
Comma list: 625/624, 729/728, 833/832, 1225/1224, 2205/2197
Mapping: [⟨171 271 397 480 0 633 699], ⟨0 0 0 0 1 0 0]]
POTE generator: ~11/8 = 551.365
Vals: 171, 342, 855ff, 1197fff
Badness: 0.031323
- Schisennealimmic (171 & 513)
13-limit
Comma list: 2080/2079, 2401/2400, 4375/4374, 32805/32768
Mapping: [⟨171 271 397 480 0 41], ⟨0 0 0 0 1 1]]
POTE generator: ~11/8 = 551.625
Vals: 171, 342f, 513, 855f
Badness: 0.046843
17-limit
Comma list: 936/935, 1225/1224, 1701/1700, 2025/2023, 11271/11264
Mapping: [⟨171 271 397 480 0 41 699], ⟨0 0 0 0 1 1 0]]
POTE generator: ~11/8 = 551.756
Vals: 171, 342f, 513, 855f
Badness: 0.030622
2 June 2021
- Decades (36 & 72)
7-limit
Comma list: 1029/1024, 118098/117649
Mapping: [⟨36 57 0 101], ⟨0 0 1 0]]
POTE generator: ~5/4 = 384.764
Vals: 36, 72, 252, 324bd, 396bd
Badness: 0.108016
11-limit
Comma list: 540/539, 1029/1024, 4000/3993
Mapping: [⟨36 57 0 101 41], ⟨0 0 1 0 1]]
POTE generator: ~5/4 = 384.150
Vals: 36, 72, 396bd, 468bcd, 540bcd, 612bccdd, 684bbccdd, 756bbccdd
Badness: 0.043088
3 June 2021
- Undecentic (99 & 198)
11-limit
Comma list: 2401/2400, 3136/3125, 4375/4374
Mapping: [⟨99 157 230 278 0], ⟨0 0 0 0 1]]
POTE generator: ~11/8 = 552.756
Vals: 99e, 198, 297e, 495ce
Badness: 0.058801
13-limit
Comma list: 352/351, 847/845, 2401/2400, 3136/3125
Mapping: [⟨99 157 230 278 0 24], ⟨0 0 0 0 1 1]]
POTE generator: ~11/8 = 552.024
Vals: 99ef, 198
Badness: 0.042547
5 June 2021
- Pentadecal (15 & 60)
7-limit
Comma list: 875/864, 16807/16384
Mapping: [⟨15 0 11 42], ⟨0 1 1 0]]
POTE generator: ~3/2 = 700.223
Vals: 15, 45, 60
Badness: 0.114833
11-limit
Comma list: 100/99, 385/384, 1372/1331
Mapping: [⟨15 0 11 42 52], ⟨0 1 1 0 0]]
POTE generator: ~3/2 = 702.733
Vals: 15, 45, 60, 75de, 135de
Badness: 0.077420
13-limit
Comma list: 100/99, 105/104, 144/143, 1372/1331
Mapping: [⟨15 0 11 42 52 8], ⟨0 1 1 0 0 2]]
POTE generator: ~3/2 = 701.715
Vals: 15, 45f, 60, 135de, 195cddee
Badness: 0.051740
9 June 2021
- Quinkee (15 & 55)
7-limit
Comma list: 1029/1000, 6144/6125
Mapping: [⟨5 9 12 14], ⟨0 -3 -1 0]]
POTE generator: ~5/4 = 393.439
Vals: 15, 40, 55, 125cd, 180ccdd
Badness: 0.184222
11-limit
Comma list: 121/120, 176/175, 1029/1000
Mapping: [⟨5 9 12 14 18], ⟨0 -3 -1 0 -2]]
POTE generator: ~5/4 = 393.438
Vals: 15, 40, 55, 125cd, 180ccdde
Badness: 0.065192
13-limit
Comma list: 66/65, 105/104, 121/120, 637/625
Mapping: [⟨5 9 12 14 18 20], ⟨0 -3 -1 0 -2 -4]]
POTE generator: ~5/4 = 392.798
Vals: 15, 40, 55
Badness: 0.048440
10 June 2021
- Coditonic (3de & 53)
(Proposed name for disambiguation of coditone extension)
11-limit
Comma list: 99/98, 176/175, 6655/6561
Mapping: [⟨1 6 3 13 15], ⟨0 -13 -2 -30 -34]]
POTE generator: ~242/189 = 407.567
Vals: 3de, 50e, 53
Badness: 0.063876
13-limit
Comma list: 99/98, 176/175, 325/324, 847/845
Mapping: [⟨1 6 3 13 15 20], ⟨0 -13 -2 -30 -34 -48]]
POTE generator: ~33/26 = 407.541
Vals: 3def, 53
Badness: 0.043989
27 June 2021
- Terture (111 & 159)
7-limit
Comma list: 250047/250000, 359661568/358722675
Mapping: [⟨3 4 3 2], ⟨0 4 21 34]]
POTE generator: ~392/375 = 75.555
Vals: 111, 159, 270
Badness: 0.087156
11-limit
Comma list: 3025/3024, 19712/19683, 102487/102400
Mapping: [⟨3 4 3 2 10], ⟨0 4 21 34 2]]
POTE generator: ~392/375 = 75.550
Vals: 111, 159, 270, 1239, 1509, 1779, 2049, 2319
Badness: 0.029326
13-limit
Comma list: 676/675, 1001/1000, 3025/3024, 10985/10976
Mapping: [⟨3 4 3 2 10 6], ⟨0 4 21 34 2 27]]
POTE generator: ~117/112 = 75.553
Vals: 111, 159, 270
Badness: 0.018647
17-limit
Comma list: 676/675, 715/714, 936/935, 1001/1000, 4928/4913
Mapping: [⟨3 4 3 2 10 6 10], ⟨0 4 21 34 2 27 12]]
POTE generator: ~117/112 = 75.560
Vals: 111, 159, 270
Badness: 0.018705
19-limit
Comma list: 676/675, 715/714, 936/935, 1001/1000, 1216/1215, 1617/1615
Mapping: [⟨3 4 3 2 10 6 10 5], ⟨0 4 21 34 2 27 12 41]]
POTE generator: ~95/91 = 75.560
Vals: 111, 159, 270
Badness: 0.013902
23-limit
Comma list: 460/459, 529/528, 676/675, 715/714, 936/935, 1001/1000, 1216/1215
Mapping: [⟨3 4 3 2 10 6 10 5 13], ⟨0 4 21 34 2 27 12 41 3]]
POTE generator: ~24/23 = 75.548
Vals: 111, 159, 270
Badness: 0.014915
- Semivulture (106 & 164)
11-limit
Comma list: 3025/3024, 4375/4374, 33554432/33480783
Mapping: [⟨2 4 9 -6 -2], ⟨0 -4 -21 56 43]]
POTE generator: ~275/256 = 124.450
Vals: 106, 164, 270
Badness: 0.040799
13-limit
Comma list: 676/675, 3025/3024, 4096/4095, 4375/4374
Mapping: [⟨2 4 9 -6 -2 13], ⟨0 -4 -21 56 43 -27]]
POTE generator: ~275/256 = 124.447
Vals: 106, 164, 270
Badness: 0.035458
- Eagle (58 & 212)
7-limit
Comma list: 2401/2400, 10485760000/10460353203
Mapping: [⟨2 4 9 8], ⟨0 -8 -42 -23]]
POTE generator: ~28/27 = 62.229
Vals: 58, 212, 270, 752, 1022, 1292, 2854b
Badness: 0.059498
11-limit
Comma list: 2401/2400, 9801/9800, 19712/19683
Mapping: [⟨2 4 9 8 12], ⟨0 -8 -42 -23 -49]]
POTE generator: ~28/27 = 62.224
Vals: 58, 212, 270
Badness: 0.024885
13-limit
Comma list: 676/675, 1001/1000, 1716/1715, 10648/10647
Mapping: [⟨2 4 9 8 12 13], ⟨0 -8 -42 -23 -49 -54]]
POTE generator: ~28/27 = 62.220
Vals: 58, 212, 270
Badness: 0.016282
- Quindromeda (12&193)
5-limit
Comma: [56 -28 -5⟩
Mapping: [⟨1 2 0], ⟨0 -5 28]]
POTE generator: ~4428675/4194304 = 99.526
Vals: 12, 169, 181, 193, 205, 217, 422
Badness: 0.399849
- Quintakwai (12&193)
7-limit
Comma list: 5120/5103, 9765625/9680832
Mapping: [⟨1 2 0 -2], ⟨0 -5 28 58]]
POTE generator: ~625/588 = 99.483
Vals: 12, 169, 181, 193
Badness: 0.155536
11-limit
Comma list: 1375/1372, 4375/4356, 5120/5103
Mapping: [⟨1 2 0 -2 -4], ⟨0 -5 28 58 90]]
POTE generator: ~35/33 = 99.472
Vals: 12, 181, 193, 374, 567ce
Badness: 0.073158
13-limit
Comma list: 325/324, 1375/1372, 1575/1573, 4096/4095
Mapping: [⟨1 2 0 -2 -4 10], ⟨0 -5 28 58 90 -76]]
POTE generator: ~35/33 = 99.468
Vals: 12, 181, 193, 374, 567ce, 941bce
Badness: 0.062737
17-limit
Comma list: 325/324, 375/374, 595/594, 1275/1274, 4096/4095
Mapping: [⟨1 2 0 -2 -4 10 5], ⟨0 -5 28 58 90 -76 -11]]
POTE generator: ~18/17 = 99.469
Vals: 12, 181, 193, 374, 567ce, 941bceg
Badness: 0.037855
19-limit
Comma list: 325/324, 375/374, 400/399, 595/594, 1216/1215, 1275/1274
Mapping: [⟨1 2 0 -2 -4 10 5 4], ⟨0 -5 28 58 90 -76 -11 3]]
POTE generator: ~18/17 = 99.469
Vals: 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh
Badness: 0.025861
- Quintagar (12&217)
(Name revised from Quintoneum on 30 June 2021)
7-limit
Comma list: 3136/3125, 33554432/33480783
Mapping: [⟨1 2 0 -3], ⟨0 -5 28 70]]
POTE generator: ~200/189 = 99.555
Vals: 12, 217, 229, 446, 675c
Badness: 0.142897
- Quintoneum (12&217)
11-limit
Comma list: 441/440, 3136/3125, 7168000/7144929
Mapping: [⟨1 2 0 -3 -5], ⟨0 -5 28 70 102]]
POTE generator: ~35/33 = 99.539
Vals: 12, 205d, 217
Badness: 0.087157
13-limit
Comma list: 364/363, 441/440, 3136/3125, 13720/13689
Mapping: [⟨1 2 0 -3 -5 -7], ⟨0 -5 28 70 102 129]]
POTE generator: ~35/33 = 99.541
Vals: 12f, 205df, 217
Badness: 0.052361
17-limit
Comma list: 364/363, 441/440, 595/594, 3136/3125, 3757/3750
Mapping: [⟨1 2 0 -3 -5 -7 5], ⟨0 -5 28 70 102 129 -11]]
POTE generator: ~18/17 = 99.540
Vals: 12f, 205df, 217
Badness: 0.035653
19-limit
Comma list: 364/363, 441/440, 476/475, 595/594, 1216/1215, 3757/3750
Mapping: [⟨1 2 0 -3 -5 -7 5 4], ⟨0 -5 28 70 102 129 -11 3]]
POTE generator: ~18/17 = 99.541
Vals: 12f, 205df, 217
Badness: 0.025782
- Quintasandra (217&229)
11-limit
Comma list: 3136/3125, 19712/19683, 41503/41472
Mapping: [⟨1 2 0 -3 13], ⟨0 -5 28 70 -115]]
POTE generator: ~200/189 = 99.551
Vals: 12e, 217, 446
Badness: 0.109908
13-limit
Comma list: 2080/2079, 3136/3125, 4096/4095, 19712/19683
Mapping: [⟨1 2 0 -3 13 11], ⟨0 -5 28 70 -115 -88]]
POTE generator: ~55/52 = 99.548
Vals: 12e, 217, 446, 663c
Badness: 0.067730
17-limit
Comma list: 936/935, 1156/1155, 1377/1375, 3136/3125, 4096/4095
Mapping: [⟨1 2 0 -3 13 11 5], ⟨0 -5 28 70 -115 -88 -11]]
POTE generator: ~18/17 = 99.548
Vals: 12e, 217, 446, 663c
Badness: 0.038153
19-limit
Comma list: 476/475, 936/935, 1156/1155, 1216/1215, 1377/1375, 1729/1728
Mapping: [⟨1 2 0 -3 13 11 5 4], ⟨0 -5 28 70 -115 -88 -11 3]]
POTE generator: ~18/17 = 99.547
Vals: 12e, 217, 446, 663ch
Badness: 0.026654
- Quintasandroid (229&241)
11-limit
Comma list: 3136/3125, 8019/8000, 15488/15435
Mapping: [⟨1 2 0 -3 -6], ⟨0 -5 28 70 114]]
POTE generator: ~200/189 = 99.570
Vals: 12, 217e, 229, 470cd, 699cd
Badness: 0.093971
13-limit
Comma list: 351/350, 2080/2079, 3136/3125, 10648/10647
Mapping: [⟨1 2 0 -3 -6 -8], ⟨0 -5 28 70 114 141]]
POTE generator: ~55/52 = 99.578
Vals: 12f, 217ef, 229, 241, 470cd, 711ccd
Badness: 0.065701
17-limit
Comma list: 351/350, 442/441, 561/560, 3136/3125, 7744/7735
Mapping: [⟨1 2 0 -3 -6 -8 5], ⟨0 -5 28 70 114 141 -11]]
POTE generator: ~18/17 = 99.574
Vals: 12f, 217ef, 229, 241, 470cd
Badness: 0.046624
19-limit
Comma list: 351/350, 442/441, 476/475, 561/560, 627/625, 6144/6137
Mapping: [⟨1 2 0 -3 -6 -8 5 4], ⟨0 -5 28 70 114 141 -11 3]]
POTE generator: ~18/17 = 99.575
Vals: 12f, 217ef, 229, 241, 470cd
Badness: 0.033145
- Quintasand (12&229)
13-limit
Comma list: 1573/1568, 3136/3125, 4096/4095, 4459/4455
Mapping: [⟨1 2 0 -3 -6 11], ⟨0 -5 28 70 114 -88]]
POTE generator: ~200/189 = 99.556
Vals: 12, 217e, 229, 446e, 675ceef
Badness: 0.100195
17-limit
Comma list: 561/560, 715/714, 1701/1700, 3136/3125, 4096/4095
Mapping: [⟨1 2 0 -3 -6 11 5], ⟨0 -5 28 70 114 -88 -11]]
POTE generator: ~18/17 = 99.556
Vals: 12, 217e, 229, 446e, 675ceef
Badness: 0.057851
19-limit
Comma list: 286/285, 476/475, 561/560, 627/625, 1216/1215, 1729/1728
Mapping: [⟨1 2 0 -3 -6 11 5 4], ⟨0 -5 28 70 114 -88 -11 3]]
POTE generator: ~18/17 = 99.557
Vals: 12, 217e, 229, 446e, 675ceefh
Badness: 0.040410
- Semiquindromeda (12&422)
7-limit
Comma list: 102760448/102515625, 1220703125/1219784832
Mapping: [⟨2 4 0 -5], ⟨0 -5 28 64]]
POTE generator: ~1323/1250 = 99.521
Vals: 12, 398, 410, 422, 832, 1254d, 2086bd
Badness: 0.233140
11-limit
Comma list: 5632/5625, 9801/9800, 85937500/85766121
Mapping: [⟨2 4 0 -5 -10], ⟨0 -5 28 64 102]]
POTE generator: ~1323/1250 = 99.525
Vals: 12, 410, 422
Badness: 0.093926
13-limit
Comma list: 1716/1715, 2080/2079, 5632/5625, 831875/830466
Mapping: [⟨2 4 0 -5 -10 -13], ⟨0 -5 28 64 102 123]]
POTE generator: ~1323/1250 = 99.523
Vals: 12f, 410, 422, 1254df, 1676bdff, 2098bcddff
Badness: 0.053361
17-limit
Comma list: 1716/1715, 2080/2079, 2500/2499, 5632/5625, 15895/15876
Mapping: [⟨2 4 0 -5 -10 -13 10], ⟨0 -5 28 64 102 123 -11]]
POTE generator: ~18/17 = 99.522
Vals: 12f, 410, 422, 832, 1254df, 1676bdff
Badness: 0.034659
19-limit
Comma list: 1216/1215, 1445/1444, 1716/1715, 2080/2079, 2376/2375, 2500/2499
Mapping: [⟨2 4 0 -5 -10 -13 10 8], ⟨0 -5 28 64 102 123 -11 3]]
POTE generator: ~18/17 = 99.523
Vals: 12f, 410, 422, 1254dfhh, 1676bdffhh
Badness: 0.025439
28 June 2021
- Quintoneoid (12&217)
13-limit
Comma list: 441/440, 1001/1000, 3136/3125, 59150/59049
Mapping: [⟨1 2 0 -3 -5 11], ⟨0 -5 28 70 102 -88]]
POTE generator: ~35/33 = 99.537
Vals: 12, 205d, 217
Badness: 0.072826
17-limit
Comma list: 441/440, 595/594, 1001/1000, 2601/2600, 3136/3125
Mapping: [⟨1 2 0 -3 -5 11 5], ⟨0 -5 28 70 102 -88 -11]]
POTE generator: ~18/17 = 99.537
Vals: 12, 205d, 217
Badness: 0.042339
19-limit
Comma list: 441/440, 476/475, 595/594, 1001/1000, 1216/1215, 2601/2600
Mapping: [⟨1 2 0 -3 -5 11 5 4], ⟨0 -5 28 70 102 -88 -11 3]]
POTE generator: ~18/17 = 99.537
Vals: 12, 205d, 217
Badness: 0.028983
Proposed in July 2021
4 July 2021
- Mineral (46&171)
11-limit
Comma list: 441/440, 4375/4374, 16384/16335
Mapping: [⟨1 -1 -3 6 10], ⟨0 17 35 -21 -43]]
POTE generator: ~10/9 = 182.482
Vals: 46, 125e, 171, 217, 605ee, 822dee
Badness: 0.059060
13-limit
Comma list: 364/363, 441/440, 3584/3575, 4375/4374
Mapping: [⟨1 -1 -3 6 10 11], ⟨0 17 35 -21 -43 -48]]
POTE generator: ~10/9 = 182.481
Vals: 46, 125e, 171, 217, 605ee, 822dee
Badness: 0.033140
17-limit
Comma list: 364/363, 441/440, 595/594, 1156/1155, 3584/3575
Mapping: [⟨1 -1 -3 6 10 11 5], ⟨0 17 35 -21 -43 -48 -6]]
POTE generator: ~10/9 = 182.481
Vals: 46, 125e, 171, 217, 605ee, 822dee
Badness: 0.019792
- Ore (46&125)
11-limit
Comma list: 385/384, 1331/1323, 4375/4374
Mapping: [⟨1 -1 -3 6 3], ⟨0 17 35 -21 3]]
POTE generator: ~10/9 = 182.449
Vals: 46, 125, 171e
Badness: 0.053662
13-limit
Comma list: 352/351, 385/384, 1331/1323, 3267/3250
Mapping: [⟨1 -1 -3 6 3 11], ⟨0 17 35 -21 3 -48]]
POTE generator: ~10/9 = 182.470
Vals: 46, 125, 171e, 388ee
Badness: 0.046170
17-limit
Comma list: 352/351, 385/384, 561/560, 715/714, 1452/1445
Mapping: [⟨1 -1 -3 6 3 11 5], ⟨0 17 35 -21 3 -48 -6]]
POTE generator: ~10/9 = 182.471
Vals: 46, 125, 171e, 388ee
Badness: 0.028423
12 July 2021
- Quintupole (12&121)
5-limit
Comma: [37 -16 -5⟩
Mapping: [⟨1 2 1], ⟨0 -5 16]]
POTE generator: ~135/128 = 99.267
Vals: 12, 85, 97, 109, 121, 133, 278c, 411bc, 544bc
Badness: 0.444506
7-limit
Comma list: 4000/3969, 458752/455625
Mapping: [⟨1 2 1 0], ⟨0 -5 16 34]]
POTE generator: ~135/128 = 99.175
Vals: 12, 97, 109, 121
Badness: 0.111620
11-limit
Comma list: 896/891, 1375/1372, 4375/4356
Mapping: [⟨1 2 1 0 -1], ⟨0 -5 16 34 54]]
POTE generator: ~132/125 = 99.156
Vals: 12, 109, 121, 351bde, 472bdee
Badness: 0.056501
13-limit
Comma list: 352/351, 364/363, 625/624, 2704/2695
Mapping: [⟨1 2 1 0 -1 -2], ⟨0 -5 16 34 54 69]]
POTE generator: ~55/52 = 99.165
Vals: 12f, 109, 121
Badness: 0.038431
17-limit
Comma list: 256/255, 352/351, 364/363, 375/374, 442/441
Mapping: [⟨1 2 1 0 -1 -2 5], ⟨0 -5 16 34 54 69 -11]]
POTE generator: ~18/17 = 99.172
Vals: 12f, 109, 121
Badness: 0.028721
19-limit
Comma list: 190/189, 256/255, 352/351, 361/360, 364/363, 375/374
Mapping: [⟨1 2 1 0 -1 -2 5 4], ⟨0 -5 16 34 54 69 -11 3]]
POTE generator: ~18/17 = 99.164
Vals: 12f, 109, 121
Badness: 0.023818
17 July 2021
- Quinticosiennic (12&145)
7-limit
Comma list: 5120/5103, 395136/390625
Mapping: [⟨1 2 1 -1], ⟨0 -5 16 46]]
POTE generator: ~135/128 = 99.345
Vals: 12, 133, 145, 157, 302c, 459bcc
Badness: 0.158041
11-limit
Comma list: 441/440, 896/891, 78408/78125
Mapping: [⟨1 2 1 -1 -2], ⟨0 -5 16 46 66]]
POTE generator: ~35/33 = 99.318
Vals: 12, 133, 145
Badness: 0.080674
13-limit
Comma list: 196/195, 352/351, 364/363, 78408/78125
Mapping: [⟨1 2 1 -1 -2 -3], ⟨0 -5 16 46 66 81]]
POTE generator: ~35/33 = 99.307
Vals: 12f, 133, 145
Badness: 0.052464
17-limit
Comma list: 196/195, 256/255, 352/351, 364/363, 3757/3750
Mapping: [⟨1 2 1 -1 -2 -3 5], ⟨0 -5 16 46 66 81 -11]]
POTE generator: ~18/17 = 99.308
Vals: 12f, 133, 145
Badness: 0.037108
19-limit
Comma list: 196/195, 256/255, 352/351, 361/360, 364/363, 476/475
Mapping: [⟨1 2 1 -1 -2 -3 5 4], ⟨0 -5 16 46 66 81 -11 3]]
POTE generator: ~18/17 = 99.303
Vals: 12f, 133, 145
Badness: 0.028440
- Quintapole (12&85)
7-limit
Comma list: 225/224, 7812500/7411887
Mapping: [⟨1 2 1 1], ⟨0 -5 16 22]]
POTE generator: ~21/20 = 98.994
Vals: 12, 73c, 85, 97d
Badness: 0.192498
11-limit
Comma list: 100/99, 225/224, 85184/84035
Mapping: [⟨1 2 1 1 0], ⟨0 -5 16 22 42]]
POTE generator: ~21/20 = 98.954
Vals: 12, 73ce, 85, 97d
Badness: 0.104353
18 July 2021
- Hemiseptisix (103&121)
7-limit
Comma list: 16875/16807, 95703125/95551488
Mapping: [⟨1 -19 -7 -17], ⟨0 53 24 51]]
POTE generator: ~98/75 = 466.071
Vals: 18, 103, 121, 224
Badness: 0.162826
11-limit
Comma list: 540/539, 1375/1372, 2734375/2725888
Mapping: [⟨1 -19 -7 -17 -28], ⟨0 53 24 51 81]]
POTE generator: ~55/42 = 466.070
Vals: 103, 121, 224
Badness: 0.043381
13-limit
Comma list: 540/539, 625/624, 1375/1372, 2200/2197
Mapping: [⟨1 -19 -7 -17 -28 -13], ⟨0 53 24 51 81 43]]
POTE generator: ~55/42 = 466.071
Vals: 103, 121, 224
Badness: 0.021127
Proposed in August 2021
2 August 2021
- Goldmine (46&79)
13-limit
Comma list: 169/168, 325/324, 385/384, 1331/1323
Mapping: [⟨1 -1 -3 6 3 4], ⟨0 17 35 -21 3 -2]]
POTE generator: ~10/9 = 182.437
Vals: 46, 79, 125f, 171ef, 296eff
Badness: 0.039302
17-limit
Comma list: 169/168, 273/272, 325/324, 385/384, 1331/1323
Mapping: [⟨1 -1 -3 6 3 4 5], ⟨0 17 35 -21 3 -2 -6]]
POTE generator: ~10/9 = 182.444
Vals: 46, 125f, 171ef
Badness: 0.027440
8 August 2021
- Gamelapyth (41&164)
7-limit
Comma list: 1029/1024, 537824/531441
Mapping: [⟨41 65 0 115], ⟨0 0 1 0]]
POTE generator: ~5/4 = 385.731
Vals: 41, 123, 164, 205d, 246d, 451dd
Badness: 0.161056
11-limit
Comma list: 385/384, 441/440, 537824/531441
Mapping: [⟨41 65 0 115 237], ⟨0 0 1 0 -1]]
POTE generator: ~5/4 = 385.871
Vals: 41, 123e, 164, 205d, 451dd
Badness: 0.076537
- Mermapyth (41&205)
7-limit
Comma list: 5120/5103, 2500000/2470629
Mapping: [⟨41 65 0 20], ⟨0 0 1 1]]
POTE generator: ~5/4 = 385.667
Vals: 41, 123d, 164d, 205, 246, 451d, 697dd
Badness: 0.142344
11-limit
Comma list: 540/539, 5120/5103, 75625/75264
Mapping: [⟨41 65 0 20 237], ⟨0 0 1 1 -1]]
POTE generator: ~5/4 = 385.309
Vals: 41, 164d, 205, 246
Badness: 0.076588
13 August 2021
- Undesemi (15&224)
7-limit
Comma list: 4096000/4084101, 95703125/95551488
Mapping: [⟨1 5 5 1], ⟨0 -51 -40 27]]
POTE generator: ~8575/8192 = 80.347
Vals: 15, 194, 209, 224, 463, 687, 1150d
Badness: 0.178777
11-limit
Comma list: 3025/3024, 4000/3993, 180224/180075
Mapping: [⟨1 5 5 1 5], ⟨0 -51 -40 27 -23]]
POTE generator: ~22/21 = 80.347
Vals: 15, 194, 209, 224, 463, 1150de
Badness: 0.042318
- Decipentic (43&56)
7-limit
Comma list: 3136/3125, 2097152/2083725
Mapping: [⟨1 6 0 -3], ⟨0 -19 10 25]]
POTE generator: ~75/64 = 278.800
Vals: 13, 43, 56, 99
Badness: 0.087325
11-limit
Comma list: 441/440, 1344/1331, 3136/3125
Mapping: [⟨1 6 0 -3 3], ⟨0 -19 10 25 2]]
POTE generator: ~75/64 = 278.799
Vals: 13, 43, 56, 99e
Badness: 0.061413
13-limit
Comma list: 169/168, 441/440, 832/825, 975/968
Mapping: [⟨1 6 0 -3 3 3], ⟨0 -19 10 25 2 3]]
POTE generator: ~13/11 = 278.802
Vals: 13, 43, 56, 99e
Badness: 0.047611
17-limit
Comma list: 169/168, 221/220, 256/255, 273/272, 375/374
Mapping: [⟨1 6 0 -3 3 3 2], ⟨0 -19 10 25 2 3 9]]
POTE generator: ~13/11 = 278.798
Vals: 13, 43, 56, 99e
Badness: 0.031191
19-limit
Comma list: 169/168, 210/209, 221/220, 256/255, 273/272, 286/285
Mapping: [⟨1 6 0 -3 3 3 2 1], ⟨0 -19 10 25 2 3 9 14]]
POTE generator: ~13/11 = 278.790
Vals: 13, 43, 56, 99e
Badness: 0.023899
- Quasijerome (43&198)
11-limit
Comma list: 3136/3125, 15488/15435, 16384/16335
Mapping: [⟨1 6 0 -3 3], ⟨0 -38 20 50 47]]
POTE generator: ~896/825 = 139.403
Vals: 43, 112, 155, 198, 439cd, 637cd
Badness: 0.092996
13-limit
Comma list: 676/675, 1001/1000, 3136/3125, 15488/15435
Mapping: [⟨1 6 0 -3 3 8], ⟨0 -38 20 50 47 -37]]
POTE generator: ~13/12 = 139.403
Vals: 43, 155, 198, 439cdf, 637cdf
Badness: 0.044328
14 August 2021
- Septendesemi (80&103)
7-limit
Comma list: 16875/16807, 1959552/1953125
Mapping: [⟨1 -2 -1 -2], ⟨0 41 38 55]]
POTE generator: ~343/324 = 104.916
Vals: 80, 103, 183
Badness: 0.146795
11-limit
Comma list: 540/539, 1375/1372, 43923/43750
Mapping: [⟨1 -2 -1 -2 -1], ⟨0 41 38 55 51]]
POTE generator: ~35/33 = 104.916
Vals: 80, 103, 183
Badness: 0.041554
13-limit
Comma list: 351/350, 540/539, 1375/1372, 4225/4224
Mapping: [⟨1 -2 -1 -2 -1 3], ⟨0 41 38 55 51 8]]
POTE generator: ~35/33 = 104.908
Vals: 80, 103, 183, 469f, 652def
Badness: 0.027908
17-limit
Comma list: 351/350, 540/539, 561/560, 715/714, 4225/4224
Mapping: [⟨1 -2 -1 -2 -1 3 4], ⟨0 41 38 55 51 8 1]]
POTE generator: ~17/16 = 104.909
Vals: 80, 103, 183, 469f, 652def
Badness: 0.020128
15 August 2021
- Witch (99&265)
7-limit
Comma list: 420175/419904, 1600000/1594323
Mapping: [⟨1 -7 -20 -2], ⟨0 25 65 14]]
POTE generator: ~80/63 = 412.098
Vals: 99, 265, 364, 463, 562, 1025
Badness: 0.080608
- Semiwitch (166&198)
11-limit
Comma list: 9801/9800, 41503/41472, 585640/583443
Mapping: [⟨2 11 25 10 16], ⟨0 -25 -65 -14 -29]]
POTE generator: ~49/44 = 187.904
Vals: 166, 198, 364, 562, 926, 1488bd, 2414bdd
Badness: 0.088189
13-limit
Comma list: 1716/1715, 2080/2079, 2200/2197, 17303/17280
Mapping: [⟨2 11 25 10 16 24], ⟨0 -25 -65 -14 -29 -53]]
POTE generator: ~39/35 = 187.904
Vals: 166, 198, 364, 562, 926
Badness: 0.038009
- Hitch (198&463)
11-limit
Comma list: 3025/3024, 117649/117612, 1600000/1594323
Mapping: [⟨1 18 45 12 -10], ⟨0 -50 -130 -28 41]]
POTE generator: ~1120/891 = 393.950
Vals: 198, 463, 661, 1124bde
Badness: 0.093482
13-limit
Comma list: 676/675, 1716/1715, 3025/3024, 1600000/1594323
Mapping: [⟨1 18 45 12 -10 71], ⟨0 -50 -130 -28 41 -205]]
POTE generator: ~1120/891 = 393.948
Vals: 198, 463, 661
Badness: 0.060716
- Hitcher (198&265)
13-limit
Comma list: 2080/2079, 3025/3024, 13720/13689, 28672/28561
Mapping: [⟨1 18 45 12 -10 6], ⟨0 -50 -130 -28 41 -7]]
POTE generator: ~49/39 = 393.949
Vals: 198, 463f, 661ff
Badness: 0.059591
16 August 2021
- Quinwell (22&243)
7-limit
Comma list: 420175/419904, 2109375/2097152
Mapping: [⟨1 0 3 0], ⟨0 35 -15 62]]
POTE generator: ~405/392 = 54.324
Vals: 22, 221, 243, 751c, 994cd, 1237bccd, 1480bccd
Badness: 0.168897
11-limit
Comma list: 540/539, 4375/4356, 2109375/2097152
Mapping: [⟨1 0 3 0 5], ⟨0 35 -15 62 -34]]
POTE generator: ~33/32 = 54.334
Vals: 22, 221, 243, 265, 773ce, 1038ccee, 1303ccee
Badness: 0.097202
17 August 2021
- Septiquarschis (89&94)
7-limit
Comma list: 32805/32768, 829440/823543
Mapping: [⟨1 3 -9 2], ⟨0 -7 -56 4]]
POTE generator: ~147/128 = 242.614
Vals: 89, 94, 183, 460d, 643d, 1103dd
Badness: 0.187047
11-limit
Comma list: 540/539, 15488/15435, 32805/32768
Mapping: [⟨1 3 -9 2 -2], ⟨0 -7 -56 4 27]]
POTE generator: ~147/128 = 242.616
Vals: 89, 94, 183, 460d, 643d, 826dd
Badness: 0.052002
13-limit
Comma list: 540/539, 729/728, 1573/1568, 4096/4095
Mapping: [⟨1 3 -9 2 -2 13], ⟨0 -7 -56 4 27 -46]]
POTE generator: ~147/128 = 242.610
Vals: 89, 94, 183, 277, 460d
Badness: 0.035315
21 August 2021
- Quinbetter (22&221e)
11-limit
Comma list: 385/384, 24057/24010, 43923/43750
Mapping: [⟨1 0 3 0 4], ⟨0 35 -15 62 -12]]
POTE generator: ~405/392 = 54.316
Vals: 22, 199d, 221e, 243e
Badness: 0.078657
22 August 2021
- Counterultrapyth (5e&37)
11-limit
Comma list: 64/63, 100/99, 3773/3645
Mapping: [⟨1 0 -20 6 -38], ⟨0 1 14 -2 26]]
POTE generator: ~3/2 = 713.791
Vals: 5e, 32e, 37, 79bce, 116bbce
Badness: 0.078068
13-limit
Comma list: 64/63, 91/90, 100/99, 847/845
Mapping: [⟨1 0 -20 6 -38 -25], ⟨0 1 14 -2 26 18]]
POTE generator: ~3/2 = 713.811
Vals: 5e, 32e, 37, 79bcef, 116bbcef
Badness: 0.045653
Commas which this user proposed names
This user proposed new names for following commas.
Proposed in April 2021
4 April 2021
- hewuermera: 589824/588245, satribiru-agu
- triwellisma: 235298/234375, tribizo-asepgu (name revised on 24 April 2021)
25 April 2021
- quadrawellisma: 67528125/67108864, lalaquadzo-aquinyo
26 April 2021
- catasyc comma: 390625/387072, laruquadbiyo
28 April 2021
- mistisma: 458752/455625, sazoquadgu
Proposed in May 2021
3 May 2021
- hemfiness comma: 4096000/4084101, saquinru-atriyo
- marvelfifths comma: 158203125/157351936, laquadru-atritriyo (name revised on 13 May 2021)
- chromatisma: 640000000000000000/635585924776181463, trisa-triru-aquadquadyo
4 May 2021
- bronzisma: 2097152/2083725, satriru-agugu
6 May 2021
- sesquiquartisma: 2460375/2458624, laquadru-atruyo
- mitonisma: 5250987/5242880, laquadzo-agu
- olympia: 131072/130977, salururu (name revised on 2 August 2021)
13 May 2021
- sensamagicfifths comma: [-11 42 -7 -14⟩, trila-seprurugu
19 May 2021
- secanticornisma: 177147/175000, laruquingu
23 May 2021
- supermatertisma: 52734375/52706752, lasepru-atritriyo
- supermasesquartisma: 184528125/184473632, laquadbiru-aquinyo
27 May 2021
- septimirod: 84035/82944, quinzo-ayo
Proposed in June 2021
8 June 2021
- vorwell comma: 134217728/133984375, sasatriru-aquadbigu
- maitri comma: 40353607/40000000, tritrizo-asepgu
28 June 2021
- compass comma: 9765625/9680832, quinruyoyo
Proposed in July 2021
12 July 2021
- fantares comma: 4375/4356, luluzoquadyo
13 July 2021
- septiness comma: 67108864/66706983, sasasepru
- decovulture comma: 67108864/66976875, sasabirugugu
18 July 2021
- pontiqak comma: 95703125/95551488, lazozotritriyo
Proposed in August 2021
7 August 2021
- slither comma: 40960000/40353607, satritriru-aquadyo
8 August 2021
- mermisma: 2500000/2470629, sepruyo
13 August 2021
- valenwuer comma: 110592/109375, sarutribigu
- negricorn comma: 153664/151875, saquadzogu
14 August 2021
- parkleiness comma: 1959552/1953125, zotritrigu
19 August 2021
- mynaslender comma: 829440/823543, sepru-ayo