26th-octave temperaments: Difference between revisions
m TallKite moved page 11-limit comma temperaments to 26th-octave temperaments: Not all temperaments on this page are 11-limit, and most 11-limit temperaments are not on this page |
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All temperaments on this page have a period that is 1/26th of an octave, i.e. their [[pergen]] is (P8/26, P5). However, the [-41 26> comma is not part of these temperaments. | |||
=Bosonic= | =Bosonic= | ||
Commas: 321489/320000, 589824/588245 | Commas: 321489/320000, 589824/588245 | ||
Revision as of 02:38, 26 April 2020
All temperaments on this page have a period that is 1/26th of an octave, i.e. their pergen is (P8/26, P5). However, the [-41 26> comma is not part of these temperaments.
Bosonic
Commas: 321489/320000, 589824/588245
POTE generator: ~3/2 = 701.250
Map: [<26 0 -22 73|, <0 1 2 0|]
Wedgie: <<26 52 0 22 -73 -146||
EDOs: 26, 130, 546, 676, 806c
Badness: 0.1558
11-limit
Commas: 441/440, 8019/8000, 65536/65219
POTE generator: ~3/2 = 701.559
Map: [<26 0 -22 73 90|, <0 1 2 0 0|]
EDOs: 26, 104c, 130
Badness: 0.0652
13-limit
Commas: 351/350, 364/363, 441/440, 15379/15360
POTE generator: ~3/2 = 701.546
Map: [<26 0 -22 73 90 55|, <0 1 2 0 0 1|]
EDOs: 26, 104c, 130
Badness: 0.0329
Fermionic
Commas: 540/539, 78408/78125, 177147/176000
POTE generator: ~3/2 = 701.077
Map: [<26 0 -22 73 -116|, <0 1 2 0 5|]
EDOs: 130, 286, 416, 546, 1508bcd
Badness: 0.0906
13-limit
Commas: 351/350, 540/539, 40656/40625, 142884/142805
POTE generator: ~3/2 = 701.038
Map: [<26 0 -22 73 -116 55|, <0 1 2 0 5 1|]
EDOs: 130, 286, 416, 546, 962bf
Badness: 0.0436