Xenharmonic Wiki

Porwell temperaments: Difference between revisions

← Older editNewer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
4,516 edits
Tags: Mobile edit Mobile web edit
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
4,516 edits
Tags: Mobile edit Mobile web edit
Line 255: Line 255:
The ''icositritonic'' temperament (46&161, named by [[User:Xenllium|Xenllium]]) has a period of 1/23 octave, so six period represents [[6/5]] and nine period represents [[21/16]].
The ''icositritonic'' temperament (46&161, named by [[User:Xenllium|Xenllium]]) has a period of 1/23 octave, so six period represents [[6/5]] and nine period represents [[21/16]].


Commas: 6144/6125, 9920232/9765625
[[Comma list]]: 6144/6125, 9920232/9765625


Map: [<23 37 54 64|, <0 -1 -1 1|]
[[Mapping]]: [<23 37 54 64|, <0 -1 -1 1|]


POTE generator: ~64/63 = 29.3586
[[Wedgie]]: <<23 23 -23 -17 -101 -118||


EDOs: 23, 46, 69, 115, 161, 207
[[POTE tuning|POTE generator]]: ~64/63 = 29.3586


Badness: 0.196622
[[EDO|Vals]]: {{Val list| 23, 46, 115, 161, 207, 368c }}
 
[[Badness]]: 0.196622


== 11-limit ==
== 11-limit ==
Commas: 441/440, 6144/6125, 35937/35840
Comma list: 441/440, 6144/6125, 35937/35840


Map: [<23 37 54 64 79|, <0 -1 -1 1 1|]
Mapping: [<23 37 54 64 79|, <0 -1 -1 1 1|]


POTE generator: ~64/63 = 29.3980
POTE generator: ~64/63 = 29.3980


EDOs: 23, 46, 69, 115, 161, 207
Vals: {{Val list| 23, 46, 115, 161, 207, 368c }}


Badness: 0.064613
Badness: 0.064613


== 13-limit ==
== 13-limit ==
Commas: 351/350, 441/440, 847/845, 3584/3575
Comma list: 351/350, 441/440, 847/845, 3584/3575


Map: [<23 37 54 64 79 84|, <0 -1 -1 1 1 2|]
Mapping: [<23 37 54 64 79 84|, <0 -1 -1 1 1 2|]


POTE generator: ~64/63 = 29.2830
POTE generator: ~64/63 = 29.2830


EDOs: 46, 115, 161, 207
Vals: {{Val list| 46, 115, 161, 207, 368c }}


Badness: 0.040484
Badness: 0.040484


== 17-limit ==
== 17-limit ==
Commas: 351/350, 441/440, 561/560, 847/845, 1089/1088
Comma list: 351/350, 441/440, 561/560, 847/845, 1089/1088


Map: [<23 37 54 64 79 84 94|, <0 -1 -1 1 1 2 0|]
Mapping: [<23 37 54 64 79 84 94|, <0 -1 -1 1 1 2 0|]


POTE generator: ~64/63 = 29.2800
POTE generator: ~64/63 = 29.2800


EDOs: 46, 115, 161, 207
Vals: {{Val list| 46, 115, 161, 207, 368c }}


Badness: 0.024676
Badness: 0.024676


== 19-limit ==
== 19-limit ==
Commas: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845
Comma list: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845


Map: [<23 37 54 64 79 84 94 96|, <0 -1 -1 1 1 2 0 3|]
Mapping: [<23 37 54 64 79 84 94 96|, <0 -1 -1 1 1 2 0 3|]


POTE generator: ~64/63 = 29.3760
POTE generator: ~64/63 = 29.3760


EDOs: 46, 115, 161, 207
Vals: {{Val list| 46, 115, 161, 207, 368c }}


Badness: 0.021579
Badness: 0.021579


== 23-limit ==
== 23-limit ==
Commas: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845
Comma list: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845


Map: [<23 37 54 64 79 84 94 96 104|, <0 -1 -1 1 1 2 0 3 0|]
Mapping: [<23 37 54 64 79 84 94 96 104|, <0 -1 -1 1 1 2 0 3 0|]


POTE generator: ~64/63 = 29.3471
POTE generator: ~64/63 = 29.3471


EDOs: 46, 115, 161, 207
Vals: {{Val list| 46, 115, 161, 207, 368ci }}


Badness: 0.017745
Badness: 0.017745
Retrieved from "https://en.xen.wiki/w/Porwell_temperaments"