16ed5/2: Difference between revisions

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 Coincidentally, 133 steps of the pyrite edX of this size exceed 11 octaves by only 2.978¢.
+== 16ed5/2 as a generator ==
+'''<font style="font-size: 1.35em">Trisa-quingu (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: 1.35em">[[Octagar temperaments #Quintupole|Quintupole]] (12&amp;121)</font>'''<br>
+{{See also|34ed7 #34ed7 as a generator}}
+'''<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: 1.35em">[[Marvel temperaments|12&amp;85 temperament]]</font>'''<br>
+'''<font style="font-size: 1.2em">7-limit</font>'''<br>
+Comma list: 225/224, 7812500/7411887<br>
+Mapping: [{{val|1 2 1 1}}, {{val|0 -5 16 22}}]<br>
+POTE generator: ~21/20 = 98.994<br>
+Vals: 12, 73c, 85, 97d<br>
+Badness: 0.192498<br><br>
+'''<font style="font-size: 1.2em">11-limit</font>'''<br>
+Comma list: 100/99, 225/224, 85184/84035<br>
+Mapping: [{{val|1 2 1 1 0}}, {{val|0 -5 16 22 42}}]<br>
+POTE generator: ~21/20 = 98.954<br>
+Vals: 12, 73ce, 85, 97d<br>
+Badness: 0.104353<br><br>
+[[Category:EdX]]
+[[Category:Nonoctave]]