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Vals: 46, 125, 171e, 388ee<br>
Vals: 46, 125, 171e, 388ee<br>
Badness: 0.028423<br><br>
Badness: 0.028423<br><br>
===<font style="font-size: 1.15em">Proposed on 12 July 2021</font>===
'''<font style="font-size: 1.35em">[[Octagar temperaments #Quintupole|Quintupole]] (12&amp;121)</font>'''<br>
'''<font style="font-size: 1.2em">5-limit</font>'''<br>
Comma: {{monzo|37 -16 -5}}<br>
Mapping: [{{val|1 2 1}}, {{val|0 -5 16}}]<br>
POTE generator: ~135/128 = 99.267<br>
Vals: 12, 85, 97, 109, 121, 133, 278c, 411bc, 544bc<br>
Badness: 0.444506<br><br>
'''<font style="font-size: 1.2em">7-limit</font>'''<br>
Comma list: 4000/3969, 458752/455625<br>
Mapping: [{{val|1 2 1 0}}, {{val|0 -5 16 34}}]<br>
POTE generator: ~135/128 = 99.175<br>
Vals: 12, 97, 109, 121<br>
Badness: 0.111620<br><br>
'''<font style="font-size: 1.2em">11-limit</font>'''<br>
Comma list: 896/891, 1375/1372, 4375/4356<br>
Mapping: [{{val|1 2 1 0 -1}}, {{val|0 -5 16 34 54}}]<br>
POTE generator: ~132/125 = 99.156<br>
Vals: 12, 109, 121, 351bde, 472bdee<br>
Badness: 0.056501<br><br>
'''<font style="font-size: 1.2em">13-limit</font>'''<br>
Comma list: 352/351, 364/363, 625/624, 2704/2695<br>
Mapping: [{{val|1 2 1 0 -1 -2}}, {{val|0 -5 16 34 54 69}}]<br>
POTE generator: ~55/52 = 99.165<br>
Vals: 12f, 109, 121<br>
Badness: 0.038431<br><br>
'''<font style="font-size: 1.2em">17-limit</font>'''<br>
Comma list: 256/255, 352/351, 364/363, 375/374, 442/441<br>
Mapping: [{{val|1 2 1 0 -1 -2 5}}, {{val|0 -5 16 34 54 69 -11}}]<br>
POTE generator: ~18/17 = 99.172<br>
Vals: 12f, 109, 121<br>
Badness: 0.028721<br><br>


==Commas which this user proposed names==
==Commas which this user proposed names==