User:Xenllium: Difference between revisions
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===<font style="font-size: 1.15em">Proposed on 15 March 2019</font>=== | ===<font style="font-size: 1.15em">Proposed on 15 March 2019</font>=== | ||
'''<font style="font-size: 1.35em">Meridetonic ( | '''<font style="font-size: 1.35em">Meridetonic (258 & 301)</font>'''<br> | ||
'''<font style="font-size: 1.2em">5-limit</font>'''<br> | '''<font style="font-size: 1.2em">5-limit</font>'''<br> | ||
Comma: |168 -43 -43><br><br> | Comma: |168 -43 -43><br><br> | ||
POTE generator: ~/ = | POTE generator: ~|-68 18 17> = 4.3194<br><br> | ||
Map: [<43 | Map: [<43 68 100|, <0 1 -1|]<br><br> | ||
EDOs: 43, | EDOs: 43, 258, 301, 559, 817, 860, 1376, 1935<br><br> | ||
'''<font style="font-size: 1.2em">7-limit</font>'''<br> | |||
Commas: 5250987/5242880, 2202927104/2197265625<br><br> | |||
POTE generator: ~703125/702464 = 4.1632<br><br> | |||
Map: [<43 68 100 121|, <0 1 -1 -2|]<br><br> | |||
EDOs: 43, 258, 301, 344, 559, 860, 1161<br><br> | |||
'''<font style="font-size: 1.2em">11-limit</font>'''<br> | |||
Commas: 41503/41472, 172032/171875, 1240029/1239040<br><br> | |||
POTE generator: ~540/539 = 4.1828<br><br> | |||
Map: [<43 68 100 121 148|, <0 1 -1 -2 5|]<br><br> | |||
EDOs: 43e, 258, 301, 559, 860, 1161<br><br> | |||
'''<font style="font-size: 1.2em">13-limit</font>'''<br> | |||
Commas: 2200/2197, 4096/4095, 21168/21125, 39366/39325<br><br> | |||
POTE generator: ~540/539 = 4.1765<br><br> | |||
Map: [<43 68 100 121 148 159|, <0 1 -1 -2 5 1|]<br><br> | |||
EDOs: 43e, 258, 301, 559, 860f | |||
Revision as of 23:05, 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 this user proposed names
This user proposed new names for following temperaments.
Proposed on 14 March 2019
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
23-limit
Commas: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845
POTE generator: ~64/63 = 29.3471
Map: [<23 37 54 64 79 84 94 96 104|, <0 -1 -1 1 1 2 0 3 0|]
EDOs: 46, 115, 161, 207
Tetracontahenatonic (41 & 410)
7-limit
Commas: 2401/2400, 52613349376/52301766015
POTE generator: ~8/7 = 231.0446
Map: [<41 65 95 115|, <0 0 2 1|]
EDOs: 41, 328, 369, 410, 451, 492
11-limit
Commas: 2401/2400, 59290/59049, 131072/130977
POTE generator: ~8/7 = 231.3847
Map: [<41 65 95 115 142|, <0 0 2 1 -2|]
EDOs: 41, 328e, 369e, 410, 451, 492
13-limit
Commas: 2080/2079, 2401/2400, 4096/4095, 59290/59049
POTE generator: ~8/7 = 231.3787
Map: [<41 65 95 115 142 152|, <0 0 2 1 -2 -3|]
EDOs: 41, 410, 451, 492
Tetracontahenic (41 & 328)
Commas: 2401/2400, 16384/16335, 19712/19683
POTE generator: ~8/7 = 230.8276
Map: [<41 65 95 115 142|, <0 0 2 1 -1|]
EDOs: 41, 328, 369, 410e
Pentacontatritonic (53 & 265)
11-limit
Commas: 540/539, 15625/15552, 32805/32768
POTE generator: ~8/7 = 230.5645
Map: [<53 84 123 149 183|, <0 0 0 -1 2|]
EDOs: 53, 265, 318, 371
13-limit
Commas: 540/539, 729/728, 4096/4095, 13750/13689
POTE generator: ~8/7 = 230.4000
Map: [<53 84 123 149 183 196|, <0 0 0 -1 2 1|]
EDOs: 53, 265, 318, 371
Hectaheptacontahenatonic (171 & 17442)
7-limit
Commas: |2 -9 21 -13>, |10 -54 12 17>
POTE generator: ~7/5 = 582.5244
Map: [<171 271 397 480|, <0 3 5 6|]
EDOs: 171, 342, 513, 684, 855, 1026, 1197, 1368, 16416, 16587, 16758, 16929, 17100, 17271, 17442, 17613, 17784, 17955, 18126, 18297, 18468, 18639, 18810
Proposed on 15 March 2019
Meridetonic (258 & 301)
5-limit
Comma: |168 -43 -43>
POTE generator: ~|-68 18 17> = 4.3194
Map: [<43 68 100|, <0 1 -1|]
EDOs: 43, 258, 301, 559, 817, 860, 1376, 1935
7-limit
Commas: 5250987/5242880, 2202927104/2197265625
POTE generator: ~703125/702464 = 4.1632
Map: [<43 68 100 121|, <0 1 -1 -2|]
EDOs: 43, 258, 301, 344, 559, 860, 1161
11-limit
Commas: 41503/41472, 172032/171875, 1240029/1239040
POTE generator: ~540/539 = 4.1828
Map: [<43 68 100 121 148|, <0 1 -1 -2 5|]
EDOs: 43e, 258, 301, 559, 860, 1161
13-limit
Commas: 2200/2197, 4096/4095, 21168/21125, 39366/39325
POTE generator: ~540/539 = 4.1765
Map: [<43 68 100 121 148 159|, <0 1 -1 -2 5 1|]
EDOs: 43e, 258, 301, 559, 860f