User:Xenllium: Difference between revisions
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'''Xenllium''' joined Xenharmonic Wiki on 15 November 2018. The name "Xenllium" is a portmanteau of "Xenharmonic" and "''[https://en.m.wikipedia.org/wiki/Trillium Trillium]''". | '''Xenllium''' joined Xenharmonic Wiki on 15 November 2018. The name "Xenllium" is a portmanteau of "Xenharmonic" and "''[https://en.m.wikipedia.org/wiki/Trillium Trillium]''". | ||
==Rank two temperaments which | ==Rank two temperaments which this user proposed names== | ||
This user proposed new names for following temperaments. | |||
===Icositritonic (46 & 161) | ===Proposed on 14 March 2019=== | ||
'''<font style="font-size: 1.35em">Icositritonic (46 & 161)</font>'''<br> | |||
'''<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><br> | Commas: 6144/6125, 9920232/9765625<br><br> | ||
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EDOs: 46, 115, 161, 207<br><br> | EDOs: 46, 115, 161, 207<br><br> | ||
= | '''<font style="font-size: 1.35em">Tetracontahenatonic (41 & 410)</font>'''<br> | ||
'''<font style="font-size: 1.2em">7-limit</font>'''<br> | '''<font style="font-size: 1.2em">7-limit</font>'''<br> | ||
Commas: 2401/2400, 52613349376/52301766015<br><br> | Commas: 2401/2400, 52613349376/52301766015<br><br> | ||
| Line 52: | Line 53: | ||
Map: [<41 65 95 115 142|, <0 0 2 1 -1|]<br><br> | Map: [<41 65 95 115 142|, <0 0 2 1 -1|]<br><br> | ||
EDOs: 41, 328, 369, 410e<br><br> | EDOs: 41, 328, 369, 410e<br><br> | ||
= | |||
'''<font style="font-size: 1.35em">Pentacontatritonic (53 & 265)</font>'''<br> | |||
'''<font style="font-size: 1.2em">11-limit</font>'''<br> | '''<font style="font-size: 1.2em">11-limit</font>'''<br> | ||
Commas: 540/539, 15625/15552, 32805/32768<br><br> | Commas: 540/539, 15625/15552, 32805/32768<br><br> | ||
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POTE generator: ~8/7 = 230.4000<br><br> | POTE generator: ~8/7 = 230.4000<br><br> | ||
Map: [<53 84 123 149 183 196|, <0 0 0 -1 2 1|]<br><br> | Map: [<53 84 123 149 183 196|, <0 0 0 -1 2 1|]<br><br> | ||
EDOs: 53, 265, 318, 371 | EDOs: 53, 265, 318, 371<br><br> | ||
'''<font style="font-size: 1.35em">Hectaheptacontahenatonic (171 & 17442)</font>'''<br> | |||
'''<font style="font-size: 1.2em">7-limit</font>'''<br> | |||
Commas: |2 -9 21 -13>, |10 -54 12 17><br><br> | |||
POTE generator: ~7/5 = 582.5244<br><br> | |||
Map: [<171 271 397 480|, <0 3 5 6|]<br><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> | |||
===Proposed on 15 March 2019=== | |||
Revision as of 10:55, 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
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