11edf: Difference between revisions

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11edf and Carlos Beta are different ETs (11 != 10.996753); replacing the redirect with a stub
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{{Infobox ET}}
{{Infobox ET}}
'''22EDF''' is the [[EDF|equal division of the just perfect fifth]] into 22 parts of 31.907 [[cent|cents]] each, corresponding to 37.6092 [[edo]] (similar to every fifth step of [[188edo]]).
==Intervals==
{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
|  colspan="2"| 0
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 31.907
| | [[55/54]]
| |
|-
| | 2
| | 63.8141
| | ([[28/27]]), ([[27/26]])
| |
|-
| | 3
| | 95.7211
| |
| |
|-
| | 4
| | 127.6282
| | [[14/13]]
| |
|-
| | 5
| | 159.5352
| | 57/52
| |
|-
| | 6
| | 191.4423
| |
| |
|-
| | 7
| | 223.3493
| |8/7
| |
|-
| | 8
| | 255.2564
| |
| |
|-
| | 9
| | 287.1634
| |13/11
| |
|-
| | 10
| | 319.0705
| |6/5
| |
|-
| | 11
| | 350.9775
| | 60/49, 49/40
| |
|-
| | 12
| | 382.8845
| |5/4
| |
|-
| | 13
| | 414.7916
| |14/11
| |
|-
| | 14
| | 446.6986
| |
| |
|-
| | 15
| | 478.6057
| |
| |
|-
| | 16
| | 510.5127
| |
| |
|-
| | 17
| | 542.4198
| | [[26/19]]
| |
|-
| | 18
| | 574.3268
| | 39/28
| |
|-
| | 19
| | 606.2339
| |64/45
| |
|-
| | 20
| | 638.1409
| | ([[13/9]])
| |
|-
| | 21
| | 670.048
| | 81/55
| |
|-
| | 22
| | 701.955
| | '''exact [[3/2]]'''
| | just perfect fifth
|-
|23
|733.862
|55/36
|
|-
|24
|765.7691
|14/9, 81/52
|
|-
|25
|797.6761
|
|
|-
|26
|828.5732
|21/13
|
|-
|27
|861.4902
|171/104
|
|-
|28
|893.3973
|
|
|-
|29
|925.3043
|12/7
|
|-
|30
|956.2114
|
|
|-
|31
|988.1184
|39/22
|
|-
|32
|1020.0255
|9/5
|
|-
|33
|1052.9235
|90/49, 147/80
|
|-
|34
|1084.8395
|15/8
|
|-
|35
|1116.7466
|21/11
|
|-
|36
|1148.6536
|
|
|-
|37
|1180.5607
|
|
|-
|38
|1211.4677
|
|
|-
|39
|1244.3748
|39/19
|
|-
|40
|1276.2816
|117/56
|
|-
|41
|1308.1889
|32/15
|
|-
|42
|1340.0959
|13/6
|
|-
|43
|1372.003
|243/110
|
|-
|44
|1403.91
|'''exact''' 9/4
|
|}


[[Category:edf]]
[[Category:edf]]
[[Category:Todo:expand]]
[[Category:Todo:expand]]
[[Category:Stub]]
[[Category:Stub]]

Revision as of 21:10, 8 March 2023

← 10edf 11edf 12edf →
Prime factorization 11 (prime)
Step size 63.8141 ¢ 
Octave 19\11edf (1212.47 ¢)
Twelfth 30\11edf (1914.42 ¢)
Consistency limit 7
Distinct consistency limit 7

22EDF is the equal division of the just perfect fifth into 22 parts of 31.907 cents each, corresponding to 37.6092 edo (similar to every fifth step of 188edo).

Intervals

degree cents value corresponding
JI intervals 		comments
0 exact 1/1
1 31.907 55/54
2 63.8141 (28/27), (27/26)
3 95.7211
4 127.6282 14/13
5 159.5352 57/52
6 191.4423
7 223.3493 8/7
8 255.2564
9 287.1634 13/11
10 319.0705 6/5
11 350.9775 60/49, 49/40
12 382.8845 5/4
13 414.7916 14/11
14 446.6986
15 478.6057
16 510.5127
17 542.4198 26/19
18 574.3268 39/28
19 606.2339 64/45
20 638.1409 (13/9)
21 670.048 81/55
22 701.955 exact 3/2 just perfect fifth
23 733.862 55/36
24 765.7691 14/9, 81/52
25 797.6761
26 828.5732 21/13
27 861.4902 171/104
28 893.3973
29 925.3043 12/7
30 956.2114
31 988.1184 39/22
32 1020.0255 9/5
33 1052.9235 90/49, 147/80
34 1084.8395 15/8
35 1116.7466 21/11
36 1148.6536
37 1180.5607
38 1211.4677
39 1244.3748 39/19
40 1276.2816 117/56
41 1308.1889 32/15
42 1340.0959 13/6
43 1372.003 243/110
44 1403.91 exact 9/4
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