User:Xenllium: Difference between revisions

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'''Tetracontatroid (258 & 301)'''

'''5-limit'''

Comma: |168 -43 -43~~>~~

Comma: {{monzo|168 -43 -43}}

POTE generator: ~|-68 18 17~~>~~ = 4.3194~~ ~~

Mapping: [{{val|43 68 100}}, {{val|0 1 -1}}]

~~Map~~: ~~[<~~43 ~~68 100|~~, ~~<0 1 -1|] ~~

POTE generator: ~{{monzo|-68 18 17}} = 4.3194

~~EDOs: 43~~, 258~~, 301~~, 559, ~~817~~, ~~860~~, ~~1376~~, ~~1935~~

Vals: 43, 172, 215, 258, 559, 1935, 2494, 3053, 3612

Badness: 1.061246

'''7-limit'''

~~Commas~~: 5250987/5242880, 2202927104/2197265625~~ ~~

Comma list: 5250987/5242880, 2202927104/2197265625

~~POTE generator: ~703125/702464 = 4.1632 ~~

Mapping: [{{val|43 68 100 121}}, {{val|0 1 -1 -2}}]

~~Map~~: [~~<~~43 68 100 121|~~, <~~0 1 -1 -2|]

POTE generator: ~703125/702464 = 4.1632

~~EDOs~~: 43, 258, 301~~, 344~~, 559, 860, ~~1161 ~~

Vals: 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd

Badness: 0.~~2300~~

Badness: 0.230038

'''11-limit'''

~~Commas~~: 41503/41472, 172032/171875, 1240029/1239040~~ ~~

Comma list: 41503/41472, 172032/171875, 1240029/1239040

~~POTE generator: ~540/539 = 4.1828 ~~

Mapping: [{{val|43 68 100 121 148}}, {{val|0 1 -1 -2 5}}]

~~Map~~: [~~<~~43 68 100 121 148|~~, <~~0 1 -1 -2 5|]

POTE generator: ~540/539 = 4.1828

~~EDOs~~: ~~43e,~~ 258, 301, 559, 860~~, 1161 ~~

Vals: 258, 301, 559, 860

Badness: 0.~~1111~~

Badness: 0.111149

'''13-limit'''

~~Commas~~: 2200/2197, 4096/4095, 21168/21125, 39366/39325~~ ~~

Comma list: 2200/2197, 4096/4095, 21168/21125, 39366/39325

~~POTE generator: ~540/539 = 4.1765 ~~

Mapping: [{{val|43 68 100 121 148 159}}, {{val|0 1 -1 -2 5 1}}]

~~Map~~: [~~<~~43 68 100 121 148 159|~~, <~~0 1 -1 -2 5 1|]

POTE generator: ~540/539 = 4.1765

~~EDOs~~: ~~43e,~~ 258, 301, 559, 860f~~ ~~

Vals: 258, 301, 559, 860f

Badness: 0.~~0714~~

Badness: 0.071435

'''Tetracontaheptatonic (94 & 705)'''

'''7-limit'''

~~Commas~~: 242137805625/240518168576, 247669456896/247165842875~~ ~~

Comma list: 242137805625/240518168576, 247669456896/247165842875

~~POTE generator: ~3/2 = 701.394 ~~

Mapping: [{{val|47 75 107 133}}, {{val|0 -1 4 -2}}]

~~Map~~: [~~<~~47 75 107 133|~~, <~~0 -1 4 -2|]

POTE generator: ~3/2 = 701.394

~~EDOs~~: 94, 611, 705, 799~~, 893~~

Vals: 94, 611, 705, 799

Badness: 1.619046

'''11-limit'''

~~Commas~~: 24057/24010, 1366875/1362944, 16808715/16777216~~ ~~

Comma list: 24057/24010, 1366875/1362944, 16808715/16777216

~~POTE generator: ~3/2 = 701.406 ~~

Mapping: [{{val|47 75 107 133 161}}, {{val|0 -1 4 -2 3}}]

~~Map~~: [~~<~~47 75 107 133 161|~~, <~~0 -1 4 -2 3|]

POTE generator: ~3/2 = 701.406

~~EDOs~~: 94, 611, 705, 799, 893~~ ~~

Vals: 94, 611, 705, 799, 893, 1692bc, 2491bbc

Badness: 0.~~2808~~

Badness: 0.280814

'''13-limit'''

~~Commas~~: 1575/1573, 24057/24010, 41472/41405, 916839/913952~~ ~~

Comma list: 1575/1573, 24057/24010, 41472/41405, 916839/913952

~~POTE generator: ~3/2 = 701.368 ~~

Mapping: [{{val|47 75 107 133 161 175}}, {{val|0 -1 4 -2 3 -2}}]

~~Map~~: [~~<~~47 75 107 133 161 175|~~, <~~0 -1 4 -2 3 -2|]

POTE generator: ~3/2 = 701.368

~~EDOs~~: 94, 611, 705, 799~~, 893f ~~

Vals: 94, 611, 705, 799

Badness: 0.~~1443~~

Badness: 0.144341

===Proposed on 24 March 2019===

@@ Line 92: / Line 92: @@
 '''<font style="font-size: 1.35em">Tetracontatroid (258 &amp; 301)</font>'''<br>
 '''<font style="font-size: 1.2em">5-limit</font>'''<br>
-Comma: |168 -43 -43&gt;<br><br>
+Comma: {{monzo|168 -43 -43}}<br>
-POTE generator: ~|-68 18 17&gt; = 4.3194<br><br>
+Mapping: [{{val|43 68 100}}, {{val|0 1 -1}}]<br>
-Map: [&lt;43 68 100|, &lt;0 1 -1|]<br><br>
+POTE generator: ~{{monzo|-68 18 17}} = 4.3194<br>
-EDOs: 43, 258, 301, 559, 817, 860, 1376, 1935<br><br>
+Vals: 43, 172, 215, 258, 559, 1935, 2494, 3053, 3612<br>
+Badness: 1.061246<br><br>
 '''<font style="font-size: 1.2em">7-limit</font>'''<br>
-Commas: 5250987/5242880, 2202927104/2197265625<br><br>
+Comma list: 5250987/5242880, 2202927104/2197265625<br>
-POTE generator: ~703125/702464 = 4.1632<br><br>
+Mapping: [{{val|43 68 100 121}}, {{val|0 1 -1 -2}}]<br>
-Map: [&lt;43 68 100 121|, &lt;0 1 -1 -2|]<br><br>
+POTE generator: ~703125/702464 = 4.1632<br>
-EDOs: 43, 258, 301, 344, 559, 860, 1161<br><br>
+Vals: 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd<br>
-Badness: 0.2300<br><br>
+Badness: 0.230038<br><br>
 '''<font style="font-size: 1.2em">11-limit</font>'''<br>
-Commas: 41503/41472, 172032/171875, 1240029/1239040<br><br>
+Comma list: 41503/41472, 172032/171875, 1240029/1239040<br>
-POTE generator: ~540/539 = 4.1828<br><br>
+Mapping: [{{val|43 68 100 121 148}}, {{val|0 1 -1 -2 5}}]<br>
-Map: [&lt;43 68 100 121 148|, &lt;0 1 -1 -2 5|]<br><br>
+POTE generator: ~540/539 = 4.1828<br>
-EDOs: 43e, 258, 301, 559, 860, 1161<br><br>
+Vals: 258, 301, 559, 860<br>
-Badness: 0.1111<br><br>
+Badness: 0.111149<br><br>
 '''<font style="font-size: 1.2em">13-limit</font>'''<br>
-Commas: 2200/2197, 4096/4095, 21168/21125, 39366/39325<br><br>
+Comma list: 2200/2197, 4096/4095, 21168/21125, 39366/39325<br>
-POTE generator: ~540/539 = 4.1765<br><br>
+Mapping: [{{val|43 68 100 121 148 159}}, {{val|0 1 -1 -2 5 1}}]<br>
-Map: [&lt;43 68 100 121 148 159|, &lt;0 1 -1 -2 5 1|]<br><br>
+POTE generator: ~540/539 = 4.1765<br>
-EDOs: 43e, 258, 301, 559, 860f<br><br>
+Vals: 258, 301, 559, 860f<br>
-Badness: 0.0714<br><br>
+Badness: 0.071435<br><br>
 '''<font style="font-size: 1.35em">Tetracontaheptatonic (94 &amp; 705)</font>'''<br>
 '''<font style="font-size: 1.2em">7-limit</font>'''<br>
-Commas: 242137805625/240518168576, 247669456896/247165842875<br><br>
+Comma list: 242137805625/240518168576, 247669456896/247165842875<br>
-POTE generator: ~3/2 = 701.394<br><br>
+Mapping: [{{val|47 75 107 133}}, {{val|0 -1 4 -2}}]<br>
-Map: [&lt;47 75 107 133|, &lt;0 -1 4 -2|]<br><br>
+POTE generator: ~3/2 = 701.394<br>
-EDOs: 94, 611, 705, 799, 893<br><br>
+Vals: 94, 611, 705, 799<br>
+Badness: 1.619046<br><br>
 '''<font style="font-size: 1.2em">11-limit</font>'''<br>
-Commas: 24057/24010, 1366875/1362944, 16808715/16777216<br><br>
+Comma list: 24057/24010, 1366875/1362944, 16808715/16777216<br>
-POTE generator: ~3/2 = 701.406<br><br>
+Mapping: [{{val|47 75 107 133 161}}, {{val|0 -1 4 -2 3}}]<br>
-Map: [&lt;47 75 107 133 161|, &lt;0 -1 4 -2 3|]<br><br>
+POTE generator: ~3/2 = 701.406<br>
-EDOs: 94, 611, 705, 799, 893<br><br>
+Vals: 94, 611, 705, 799, 893, 1692bc, 2491bbc<br>
-Badness: 0.2808<br><br>
+Badness: 0.280814<br><br>
 '''<font style="font-size: 1.2em">13-limit</font>'''<br>
-Commas: 1575/1573, 24057/24010, 41472/41405, 916839/913952<br><br>
+Comma list: 1575/1573, 24057/24010, 41472/41405, 916839/913952<br>
-POTE generator: ~3/2 = 701.368<br><br>
+Mapping: [{{val|47 75 107 133 161 175}}, {{val|0 -1 4 -2 3 -2}}]<br>
-Map: [&lt;47 75 107 133 161 175|, &lt;0 -1 4 -2 3 -2|]<br><br>
+POTE generator: ~3/2 = 701.368<br>
-EDOs: 94, 611, 705, 799, 893f<br><br>
+Vals: 94, 611, 705, 799<br>
-Badness: 0.1443
+Badness: 0.144341<br><br>
 ===<font style="font-size: 1.15em">Proposed on 24 March 2019</font>===