26th-octave temperaments: Difference between revisions

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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 {{monzo|-41 26}} comma is not tempered out. Thus the 3/2 is not 26-edo's 3/2. However, 7/4 is, as is 11/8 in the Bosonic temperaments.


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 tempered out. Thus the 3/2 is not 26-edo's 3/2. However, 7/4 is, as is 11/8 in the Bosonic temperaments.
= Bosonic =
[[Comma list]]: 321489/320000, 589824/588245


=Bosonic=
[[Mapping]]: [{{val|26 0 -22 73}}, {{val|0 1 2 0}}]
Commas: 321489/320000, 589824/588245


POTE generator: ~3/2 = 701.250
{{Multival|legend=1|26 52 0 22 -73 -146}}


Map: [<26 0 -22 73|, <0 1 2 0|]
[[POTE generator]]: ~3/2 = 701.250


Wedgie: <<26 52 0 22 -73 -146||
{{Val list|legend=1| 26, 130, 546, 676, 806c }}


EDOs: 26, 130, 546, 676, 806c
[[Badness]]: 0.155827


Badness: 0.1558
== 11-limit ==
Comma list: 441/440, 8019/8000, 65536/65219


==11-limit==
Mapping: [{{val|26 0 -22 73 90}}, {{val|0 1 2 0 0}}]
Commas: 441/440, 8019/8000, 65536/65219


POTE generator: ~3/2 = 701.559
POTE generator: ~3/2 = 701.559


Map: [<26 0 -22 73 90|, <0 1 2 0 0|]
Vals: {{Val list| 26, 104c, 130 }}


EDOs: 26, 104c, 130
Badness: 0.065219


Badness: 0.0652
== 13-limit ==
Comma list: 351/350, 364/363, 441/440, 15379/15360


==13-limit==
Mapping: [{{val|26 0 -22 73 90 55}}, {{val|0 1 2 0 0 1}}]
Commas: 351/350, 364/363, 441/440, 15379/15360


POTE generator: ~3/2 = 701.546
POTE generator: ~3/2 = 701.546


Map: [<26 0 -22 73 90 55|, <0 1 2 0 0 1|]
Vals: {{Val list| 26, 104c, 130 }}


EDOs: 26, 104c, 130
Badness: 0.032946


Badness: 0.0329
= Fermionic =
Comma list: 540/539, 78408/78125, 177147/176000


=Fermionic=
Mapping: [{{val|26 0 -22 73 -116}}, {{val|0 1 2 0 5}}]
Commas: 540/539, 78408/78125, 177147/176000


POTE generator: ~3/2 = 701.077
POTE generator: ~3/2 = 701.077


Map: [<26 0 -22 73 -116|, <0 1 2 0 5|]
Vals: {{Val list| 130, 286, 416, 546, 1508bcd }}


EDOs: 130, 286, 416, 546, 1508bcd
Badness: 0.090642


Badness: 0.0906
== 13-limit ==
Comma list: 351/350, 540/539, 40656/40625, 142884/142805


==13-limit==
Mapping: [{{val|26 0 -22 73 -116 55}}, {{val|0 1 2 0 5 1}}]
Commas: 351/350, 540/539, 40656/40625, 142884/142805


POTE generator: ~3/2 = 701.038
POTE generator: ~3/2 = 701.038


Map: [<26 0 -22 73 -116 55|, <0 1 2 0 5 1|]
Vals: {{Val list| 130, 286, 416, 546, 962bf }}


EDOs: 130, 286, 416, 546, 962bf
Badness: 0.043581


Badness: 0.0436
[[Category:Temperament]]
[[Category:Temperament collection]]