User:Xenllium: Difference between revisions

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'''<font style="font-size: 1.2em">7-limit</font>'''<br>
'''<font style="font-size: 1.2em">7-limit</font>'''<br>
Commas: 6144/6125, 9920232/9765625<br>
Commas: 6144/6125, 9920232/9765625<br>
POTE generator: 29.3586<br>
POTE generator: ~64/63 = 29.3586<br>
Map: [&lt;23 37 54 64|, &lt;0 -1 -1 1|]<br>
Map: [&lt;23 37 54 64|, &lt;0 -1 -1 1|]<br>
EDOs: 23, 46, 69, 115, 161, 207<br><br>
EDOs: 23, 46, 69, 115, 161, 207<br><br>
'''<font style="font-size: 1.2em">11-limit</font>'''<br>
'''<font style="font-size: 1.2em">11-limit</font>'''<br>
Commas: 441/440, 6144/6125, 35937/35840<br>
Commas: 441/440, 6144/6125, 35937/35840<br>
POTE generator: 29.3980<br>
POTE generator: ~64/63 = 29.3980<br>
Map: [&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>
EDOs: 23, 46, 69, 115, 161, 207<br><br>
EDOs: 23, 46, 69, 115, 161, 207<br><br>
'''<font style="font-size: 1.2em">13-limit</font>'''<br>
'''<font style="font-size: 1.2em">13-limit</font>'''<br>
Commas: 351/350, 441/440, 847/845, 3584/3575<br>
Commas: 351/350, 441/440, 847/845, 3584/3575<br>
POTE generator: ~65/64 = 29.2830<br>
POTE generator: ~64/63 = 29.2830<br>
Map: [&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>
EDOs: 46, 115, 161, 207<br><br>
EDOs: 46, 115, 161, 207<br><br>
'''<font style="font-size: 1.2em">17-limit</font>'''<br>
'''<font style="font-size: 1.2em">17-limit</font>'''<br>
Commas: 351/350, 441/440, 561/560, 847/845, 1089/1088<br>
Commas: 351/350, 441/440, 561/560, 847/845, 1089/1088<br>
POTE generator: ~65/64 = 29.2800<br>
POTE generator: ~64/63 = 29.2800<br>
Map: [&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>
EDOs: 46, 115, 161, 207<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>
POTE generator: ~64/63 = 29.3760<br>
Map: [&lt;23 37 54 64 79 84 94 96|, &lt;0 -1 -1 1 1 2 0 3|]<br>
EDOs: 46, 115, 161, 207
EDOs: 46, 115, 161, 207

Revision as of 06:34, 14 March 2019

Xenllium joined Xenharmonic Wiki on 15 November 2018. The name "Xenllium" is a portmanteau of "Xenharmonic" and "Trillium".

Rank two temperaments which I proposed names

I propose new names for following temperaments.

Icositritonic (46 & 161)
7-limit
Commas: 6144/6125, 9920232/9765625
POTE generator: ~64/63 = 29.3586
Map: [<23 37 54 64|, <0 -1 -1 1|]
EDOs: 23, 46, 69, 115, 161, 207

11-limit
Commas: 441/440, 6144/6125, 35937/35840
POTE generator: ~64/63 = 29.3980
Map: [<23 37 54 64 79|, <0 -1 -1 1 1|]
EDOs: 23, 46, 69, 115, 161, 207

13-limit
Commas: 351/350, 441/440, 847/845, 3584/3575
POTE generator: ~64/63 = 29.2830
Map: [<23 37 54 64 79 84|, <0 -1 -1 1 1 2|]
EDOs: 46, 115, 161, 207

17-limit
Commas: 351/350, 441/440, 561/560, 847/845, 1089/1088
POTE generator: ~64/63 = 29.2800
Map: [<23 37 54 64 79 84 94|, <0 -1 -1 1 1 2 0|]
EDOs: 46, 115, 161, 207

19-limit
Commas: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845
POTE generator: ~64/63 = 29.3760
Map: [<23 37 54 64 79 84 94 96|, <0 -1 -1 1 1 2 0 3|]
EDOs: 46, 115, 161, 207