User:Xenllium: Difference between revisions

Line 7:

'''[[Porwell temperaments #Icositritonic|Icositritonic]] (46 & 161)'''

'''7-limit'''

~~Commas~~: 6144/6125, 9920232/9765625~~ ~~

Comma list: 6144/6125, 9920232/9765625

~~POTE generator: ~64/63 = 29.3586 ~~

Mapping: [<23 37 54 64|, <0 -1 -1 1|]

~~Map~~: [<23 37 54 64|, <0 -1 -1 1|]

POTE generator: ~64/63 = 29.3586

~~EDOs~~: 23, 46~~, 69~~, 115, 161, 207~~ ~~

Vals: 23, 46, 115, 161, 207, 368c

Badness: 0.~~1966~~

Badness: 0.196622

'''11-limit'''

~~Commas~~: 441/440, 6144/6125, 35937/35840~~ ~~

Comma list: 441/440, 6144/6125, 35937/35840

~~POTE generator: ~64/63 = 29.3980 ~~

Mapping: [<23 37 54 64 79|, <0 -1 -1 1 1|]

~~Map~~: [<23 37 54 64 79|, <0 -1 -1 1 1|]

POTE generator: ~64/63 = 29.3980

~~EDOs~~: 23, 46~~, 69~~, 115, 161, 207~~ ~~

Vals: 23, 46, 115, 161, 207, 368c

Badness: 0.~~06461~~

Badness: 0.064613

'''13-limit'''

~~Commas~~: 351/350, 441/440, 847/845, 3584/3575~~ ~~

Comma list: 351/350, 441/440, 847/845, 3584/3575

~~POTE generator: ~64/63 = 29.2830 ~~

Mapping: [<23 37 54 64 79 84|, <0 -1 -1 1 1 2|]

~~Map~~: [<23 37 54 64 79 84|, <0 -1 -1 1 1 2|]

POTE generator: ~64/63 = 29.2830

~~EDOs~~: 46, 115, 161, 207~~ ~~

Vals: 46, 115, 161, 207, 368c

Badness: 0.~~04048~~

Badness: 0.040484

'''17-limit'''

~~Commas~~: 351/350, 441/440, 561/560, 847/845, 1089/1088~~ ~~

Comma list: 351/350, 441/440, 561/560, 847/845, 1089/1088

~~POTE generator: ~64/63 = 29.2800 ~~

Mapping: [<23 37 54 64 79 84 94|, <0 -1 -1 1 1 2 0|]

~~Map~~: [<23 37 54 64 79 84 94|, <0 -1 -1 1 1 2 0|]

POTE generator: ~64/63 = 29.2800

~~EDOs~~: 46, 115, 161, 207~~ ~~

Vals: 46, 115, 161, 207, 368c

Badness: 0.~~02468~~

Badness: 0.024676

'''19-limit'''

~~Commas~~: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845~~ ~~

Comma list: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845

~~POTE generator: ~64/63 = 29.3760 ~~

Mapping: [<23 37 54 64 79 84 94 96|, <0 -1 -1 1 1 2 0 3|]

~~Map~~: [<23 37 54 64 79 84 94 96|, <0 -1 -1 1 1 2 0 3|]

POTE generator: ~64/63 = 29.3760

~~EDOs~~: 46, 115, 161, 207~~ ~~

Vals: 46, 115, 161, 207, 368c

Badness: 0.~~02158~~

Badness: 0.021579

'''23-limit'''

~~Commas~~: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845~~ ~~

Comma list: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845

~~POTE generator: ~64/63 = 29.3471 ~~

Mapping: [<23 37 54 64 79 84 94 96 104|, <0 -1 -1 1 1 2 0 3 0|]

~~Map~~: [<23 37 54 64 79 84 94 96 104|, <0 -1 -1 1 1 2 0 3 0|]

POTE generator: ~64/63 = 29.3471

~~EDOs~~: 46, 115, 161, 207~~ ~~

Vals: 46, 115, 161, 207, 368ci

Badness: 0.~~01774~~

Badness: 0.017745

'''Tetracontahenatonic (41 & 410)'''

'''7-limit'''

~~Commas~~: 2401/2400, 52613349376/52301766015~~ ~~

Comma list: 2401/2400, 52613349376/52301766015

~~POTE generator: ~8/7 = 231.0446 ~~

Mapping: [<41 65 95 115|, <0 0 2 1|]

~~Map~~: [<41 65 95 115|, <0 0 2 1|]

POTE generator: ~8/7 = 231.0446

~~EDOs~~: 41, 328, 369, ~~410, 451, 492 ~~

Vals: 41, 328, 369, 779

Badness: 0.~~1346~~

Badness: 0.134559

'''11-limit'''

~~Commas~~: 2401/2400, 59290/59049, 131072/130977~~ ~~

Comma list: 2401/2400, 59290/59049, 131072/130977

~~POTE generator: ~8/7 = 231.3847 ~~

Mapping: [<41 65 95 115 142|, <0 0 2 1 -2|]

~~Map~~: [<41 65 95 115 142|, <0 0 2 1 -2|]

POTE generator: ~8/7 = 231.3847

EDOs: 41, 328e, 369e, 410, 451, ~~492 ~~

EDOs: 41, 328e, 369e, 410, 451, 861e, 2173bcee

Badness: 0.~~1002~~

Badness: 0.100152

'''13-limit'''

~~Commas~~: 2080/2079, 2401/2400, 4096/4095, 59290/59049~~ ~~

Comma list: 2080/2079, 2401/2400, 4096/4095, 59290/59049

~~POTE generator: ~8/7 = 231.3787 ~~

Mapping: [<41 65 95 115 142 152|, <0 0 2 1 -2 -3|]

~~Map~~: [<41 65 95 115 142 152|, <0 0 2 1 -2 -3|]

POTE generator: ~8/7 = 231.3787

EDOs: 41, 410, 451, ~~492 ~~

EDOs: 41, 410, 451, 861e, 2173bcee

Badness: 0.~~06051~~

Badness: 0.060512

'''Tetracontahenic (41 & 328)'''

'''11-limit'''

~~Commas~~: 2401/2400, 16384/16335, 19712/19683~~ ~~

Comma list: 2401/2400, 16384/16335, 19712/19683

~~POTE generator: ~8/7 = 230.8276 ~~

Mapping: [<41 65 95 115 142|, <0 0 2 1 -1|]

~~Map~~: [<41 65 95 115 142|, <0 0 2 1 -1|]

POTE generator: ~8/7 = 230.8276

EDOs: 41, 328, 369~~, 410e ~~

EDOs: 41, 328, 369

Badness: 0.~~0644~~

Badness: 0.064400

'''[[Mercator family #Schismerc|Pentacontatritonic]] (53 & 265)'''

'''11-limit'''

~~Commas~~: 540/539, 15625/15552, 32805/32768~~ ~~

Comma list: 540/539, 15625/15552, 32805/32768

~~POTE generator: ~8/7 = 230.5645 ~~

Mapping: [<53 84 123 149 183|, <0 0 0 -1 2|]

~~Map~~: [<53 84 123 149 183|, <0 0 0 -1 2|]

POTE generator: ~8/7 = 230.5645

~~EDOs~~: 53, 265, 318, ~~371 ~~

Vals: 53, 159e, 212e, 265, 318, 583c

Badness: 0.~~1151~~

Badness: 0.115066

'''13-limit'''

~~Commas~~: 540/539, 729/728, 4096/4095, 13750/13689~~ ~~

Comma list: 540/539, 729/728, 4096/4095, 13750/13689

~~POTE generator: ~8/7 = 230.4000 ~~

Mapping: [<53 84 123 149 183 196|, <0 0 0 -1 2 1|]

~~Map~~: [<53 84 123 149 183 196|, <0 0 0 -1 2 1|]

POTE generator: ~8/7 = 230.4000

~~EDOs~~: 53, 265, 318, ~~371 ~~

Vals: 53, 159ef, 212ef, 265, 318, 583cf

Badness: 0.~~06116~~

Badness: 0.061158

'''Hectaheptacontahenatonic (171 & 17442)'''

'''7-limit'''

~~Commas~~: |2 -9 21 -13>, |10 -54 12 17>~~ ~~

Comma list: |2 -9 21 -13>, |10 -54 12 17>

~~POTE generator: ~7/5 = 582.5244 ~~

Mapping: [<171 271 397 480|, <0 3 5 6|]

~~Map~~: [<171 271 397 480|, <0 3 5 6|]

POTE generator: ~7/5 = 582.5244

~~EDOs~~: 171~~, 342, 513, 684, 855, 1026, 1197, 1368~~, 16416, 16587, 16758, 16929, 17100, 17271, 17442, 17613, ~~17784~~, ~~17955~~, ~~18126~~, ~~18297, 18468, 18639, 18810 ~~

Vals: 171, 16416, 16587, 16758, 16929, 17100, 17271, 17442, 17613, 52668, 70281, 87894c, 158175bcd

Badness: 0.~~2863~~

Badness: 0.286322

===Proposed on 15 March 2019===

@@ Line 7: / Line 7: @@
 '''<font style="font-size: 1.35em">[[Porwell temperaments #Icositritonic|Icositritonic]] (46 &amp; 161)</font>'''<br>
 '''<font style="font-size: 1.2em">7-limit</font>'''<br>
-Commas: 6144/6125, 9920232/9765625<br><br>
+Comma list: 6144/6125, 9920232/9765625<br>
-POTE generator: ~64/63 = 29.3586<br><br>
+Mapping: [&lt;23 37 54 64|, &lt;0 -1 -1 1|]<br>
-Map: [&lt;23 37 54 64|, &lt;0 -1 -1 1|]<br><br>
+POTE generator: ~64/63 = 29.3586<br>
-EDOs: 23, 46, 69, 115, 161, 207<br><br>
+Vals: 23, 46, 115, 161, 207, 368c<br>
-Badness: 0.1966<br><br>
+Badness: 0.196622<br><br>
 '''<font style="font-size: 1.2em">11-limit</font>'''<br>
-Commas: 441/440, 6144/6125, 35937/35840<br><br>
+Comma list: 441/440, 6144/6125, 35937/35840<br>
-POTE generator: ~64/63 = 29.3980<br><br>
+Mapping: [&lt;23 37 54 64 79|, &lt;0 -1 -1 1 1|]<br>
-Map: [&lt;23 37 54 64 79|, &lt;0 -1 -1 1 1|]<br><br>
+POTE generator: ~64/63 = 29.3980<br>
-EDOs: 23, 46, 69, 115, 161, 207<br><br>
+Vals: 23, 46, 115, 161, 207, 368c<br>
-Badness: 0.06461<br><br>
+Badness: 0.064613<br><br>
 '''<font style="font-size: 1.2em">13-limit</font>'''<br>
-Commas: 351/350, 441/440, 847/845, 3584/3575<br><br>
+Comma list: 351/350, 441/440, 847/845, 3584/3575<br>
-POTE generator: ~64/63 = 29.2830<br><br>
+Mapping: [&lt;23 37 54 64 79 84|, &lt;0 -1 -1 1 1 2|]<br>
-Map: [&lt;23 37 54 64 79 84|, &lt;0 -1 -1 1 1 2|]<br><br>
+POTE generator: ~64/63 = 29.2830<br>
-EDOs: 46, 115, 161, 207<br><br>
+Vals: 46, 115, 161, 207, 368c<br>
-Badness: 0.04048<br><br>
+Badness: 0.040484<br><br>
 '''<font style="font-size: 1.2em">17-limit</font>'''<br>
-Commas: 351/350, 441/440, 561/560, 847/845, 1089/1088<br><br>
+Comma list: 351/350, 441/440, 561/560, 847/845, 1089/1088<br>
-POTE generator: ~64/63 = 29.2800<br><br>
+Mapping: [&lt;23 37 54 64 79 84 94|, &lt;0 -1 -1 1 1 2 0|]<br>
-Map: [&lt;23 37 54 64 79 84 94|, &lt;0 -1 -1 1 1 2 0|]<br><br>
+POTE generator: ~64/63 = 29.2800<br>
-EDOs: 46, 115, 161, 207<br><br>
+Vals: 46, 115, 161, 207, 368c<br>
-Badness: 0.02468<br><br>
+Badness: 0.024676<br><br>
 '''<font style="font-size: 1.2em">19-limit</font>'''<br>
-Commas: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845<br><br>
+Comma list: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845<br>
-POTE generator: ~64/63 = 29.3760<br><br>
+Mapping: [&lt;23 37 54 64 79 84 94 96|, &lt;0 -1 -1 1 1 2 0 3|]<br>
-Map: [&lt;23 37 54 64 79 84 94 96|, &lt;0 -1 -1 1 1 2 0 3|]<br><br>
+POTE generator: ~64/63 = 29.3760<br>
-EDOs: 46, 115, 161, 207<br><br>
+Vals: 46, 115, 161, 207, 368c<br>
-Badness: 0.02158<br><br>
+Badness: 0.021579<br><br>
 '''<font style="font-size: 1.2em">23-limit</font>'''<br>
-Commas: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845<br><br>
+Comma list: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845<br>
-POTE generator: ~64/63 = 29.3471<br><br>
+Mapping: [&lt;23 37 54 64 79 84 94 96 104|, &lt;0 -1 -1 1 1 2 0 3 0|]<br>
-Map: [&lt;23 37 54 64 79 84 94 96 104|, &lt;0 -1 -1 1 1 2 0 3 0|]<br><br>
+POTE generator: ~64/63 = 29.3471<br>
-EDOs: 46, 115, 161, 207<br><br>
+Vals: 46, 115, 161, 207, 368ci<br>
-Badness: 0.01774<br><br>
+Badness: 0.017745<br><br>
 '''<font style="font-size: 1.35em">Tetracontahenatonic (41 &amp; 410)</font>'''<br>
 '''<font style="font-size: 1.2em">7-limit</font>'''<br>
-Commas: 2401/2400, 52613349376/52301766015<br><br>
+Comma list: 2401/2400, 52613349376/52301766015<br>
-POTE generator: ~8/7 = 231.0446<br><br>
+Mapping: [&lt;41 65 95 115|, &lt;0 0 2 1|]<br>
-Map: [&lt;41 65 95 115|, &lt;0 0 2 1|]<br><br>
+POTE generator: ~8/7 = 231.0446<br>
-EDOs: 41, 328, 369, 410, 451, 492<br><br>
+Vals: 41, 328, 369, 779<br>
-Badness: 0.1346<br><br>
+Badness: 0.134559<br><br>
 '''<font style="font-size: 1.2em">11-limit</font>'''<br>
-Commas: 2401/2400, 59290/59049, 131072/130977<br><br>
+Comma list: 2401/2400, 59290/59049, 131072/130977<br>
-POTE generator: ~8/7 = 231.3847<br><br>
+Mapping: [&lt;41 65 95 115 142|, &lt;0 0 2 1 -2|]<br>
-Map: [&lt;41 65 95 115 142|, &lt;0 0 2 1 -2|]<br><br>
+POTE generator: ~8/7 = 231.3847<br>
-EDOs: 41, 328e, 369e, 410, 451, 492<br><br>
+EDOs: 41, 328e, 369e, 410, 451, 861e, 2173bcee<br>
-Badness: 0.1002<br><br>
+Badness: 0.100152<br><br>
 '''<font style="font-size: 1.2em">13-limit</font>'''<br>
-Commas: 2080/2079, 2401/2400, 4096/4095, 59290/59049<br><br>
+Comma list: 2080/2079, 2401/2400, 4096/4095, 59290/59049<br>
-POTE generator: ~8/7 = 231.3787<br><br>
+Mapping: [&lt;41 65 95 115 142 152|, &lt;0 0 2 1 -2 -3|]<br>
-Map: [&lt;41 65 95 115 142 152|, &lt;0 0 2 1 -2 -3|]<br><br>
+POTE generator: ~8/7 = 231.3787<br>
-EDOs: 41, 410, 451, 492<br><br>
+EDOs: 41, 410, 451, 861e, 2173bcee<br>
-Badness: 0.06051<br><br>
+Badness: 0.060512<br><br>
 '''<font style="font-size: 1.35em">Tetracontahenic (41 &amp; 328)</font>'''<br>
 '''<font style="font-size: 1.2em">11-limit</font>'''<br>
-Commas: 2401/2400, 16384/16335, 19712/19683<br><br>
+Comma list: 2401/2400, 16384/16335, 19712/19683<br>
-POTE generator: ~8/7 = 230.8276<br><br>
+Mapping: [&lt;41 65 95 115 142|, &lt;0 0 2 1 -1|]<br>
-Map: [&lt;41 65 95 115 142|, &lt;0 0 2 1 -1|]<br><br>
+POTE generator: ~8/7 = 230.8276<br>
-EDOs: 41, 328, 369, 410e<br><br>
+EDOs: 41, 328, 369<br>
-Badness: 0.0644<br><br>
+Badness: 0.064400<br><br>
 '''<font style="font-size: 1.35em">[[Mercator family #Schismerc|Pentacontatritonic]] (53 &amp; 265)</font>'''<br>
 '''<font style="font-size: 1.2em">11-limit</font>'''<br>
-Commas: 540/539, 15625/15552, 32805/32768<br><br>
+Comma list: 540/539, 15625/15552, 32805/32768<br>
-POTE generator: ~8/7 = 230.5645<br><br>
+Mapping: [&lt;53 84 123 149 183|, &lt;0 0 0 -1 2|]<br>
-Map: [&lt;53 84 123 149 183|, &lt;0 0 0 -1 2|]<br><br>
+POTE generator: ~8/7 = 230.5645<br>
-EDOs: 53, 265, 318, 371<br><br>
+Vals: 53, 159e, 212e, 265, 318, 583c<br>
-Badness: 0.1151<br><br>
+Badness: 0.115066<br><br>
 '''<font style="font-size: 1.2em">13-limit</font>'''<br>
-Commas: 540/539, 729/728, 4096/4095, 13750/13689<br><br>
+Comma list: 540/539, 729/728, 4096/4095, 13750/13689<br>
-POTE generator: ~8/7 = 230.4000<br><br>
+Mapping: [&lt;53 84 123 149 183 196|, &lt;0 0 0 -1 2 1|]<br>
-Map: [&lt;53 84 123 149 183 196|, &lt;0 0 0 -1 2 1|]<br><br>
+POTE generator: ~8/7 = 230.4000<br>
-EDOs: 53, 265, 318, 371<br><br>
+Vals: 53, 159ef, 212ef, 265, 318, 583cf<br>
-Badness: 0.06116<br><br>
+Badness: 0.061158<br><br>
 '''<font style="font-size: 1.35em">Hectaheptacontahenatonic (171 &amp; 17442)</font>'''<br>
 '''<font style="font-size: 1.2em">7-limit</font>'''<br>
-Commas: |2 -9 21 -13&gt;, |10 -54 12 17&gt;<br><br>
+Comma list: |2 -9 21 -13&gt;, |10 -54 12 17&gt;<br>
-POTE generator: ~7/5 = 582.5244<br><br>
+Mapping: [&lt;171 271 397 480|, &lt;0 3 5 6|]<br>
-Map: [&lt;171 271 397 480|, &lt;0 3 5 6|]<br><br>
+POTE generator: ~7/5 = 582.5244<br>
-EDOs: 171, 342, 513, 684, 855, 1026, 1197, 1368, 16416, 16587, 16758, 16929, 17100, 17271, 17442, 17613, 17784, 17955, 18126, 18297, 18468, 18639, 18810<br><br>
+Vals: 171, 16416, 16587, 16758, 16929, 17100, 17271, 17442, 17613, 52668, 70281, 87894c, 158175bcd<br>
-Badness: 0.2863<br><br>
+Badness: 0.286322<br><br>
 ===<font style="font-size: 1.15em">Proposed on 15 March 2019</font>===