11edf: Difference between revisions

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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]]).
'''11EDF''' is the [[EDF|equal division of the just perfect fifth]] into 11 parts of 63.8141 [[cent|cents]] each, corresponding to 18.8046 [[edo]] (similar to every fifth step of [[94edo]]).


==Intervals==
==Intervals==
Line 16: Line 16:
|-
|-
| | 1
| | 1
| | 31.907
| | 63.8141
| | [[55/54]]
| | ([[28/27]]), ([[27/26]])
| |  
| |  
|-
|-
| | 2
| | 2
| | 63.8141
| | 127.6282
| | ([[28/27]]), ([[27/26]])
| |[[14/13]]
| |  
| |  
|-
|-
| | 3
| | 3
| | 95.7211
| | 191.4423
| |  
| |  
| |  
| |  
|-
|-
| | 4
| | 4
| | 127.6282
| | 255.2564
| | [[14/13]]
| |  
| |  
| |  
|-
|-
| | 5
| | 5
| | 159.5352
| | 319.0705
| | 57/52
| | 6/5
| |  
| |  
|-
|-
| | 6
| | 6
| | 191.4423
| | 382.8845
| |  
| | 5/4
| |  
| |  
|-
|-
| | 7
| | 7
| | 223.3493
| | 446.6986
| |8/7
| |
| |  
| |  
|-
|-
| | 8
| | 8
| | 255.2564
| | 510.5127
| |  
| |  
| |  
| |  
|-
|-
| | 9
| | 9
| | 287.1634
| | 574.3268
| |13/11
| |39/28
| |  
| |  
|-
|-
| | 10
| | 10
| | 319.0705
| | 638.1409
| |6/5
| |([[13/9]])
| |  
| |  
|-
|-
| | 11
| | 11
| | 350.9775
| | 701.955
| | 60/49, 49/40
| |'''exact [[3/2]]'''
| |  
| | just perfect fifth
|-
|-
| | 12
| | 12
| | 382.8845
| | 765.7691
| |5/4
| |14/9, 81/52
| |  
| |  
|-
|-
| | 13
| | 13
| | 414.7916
| | 828.5732
| |14/11
| |21/13
| |  
| |  
|-
|-
| | 14
| | 14
| | 446.6986
| | 893.3973
| |  
| |  
| |  
| |  
|-
|-
| | 15
| | 15
| | 478.6057
| | 956.2114
| |  
| |  
| |  
| |  
|-
|-
| | 16
| | 16
| | 510.5127
| | 1020.0255
| |  
| | 9/5
| |  
| |  
|-
|-
| | 17
| | 17
| | 542.4198
| | 1084.8395
| | [[26/19]]
| | 15/8
| |  
| |  
|-
|-
| | 18
| | 18
| | 574.3268
| | 1148.6536
| | 39/28
| |  
| |  
| |  
|-
|-
| | 19
| | 19
| | 606.2339
| | 1211.4677
| |64/45
| |
| |  
| |  
|-
|-
| | 20
| | 20
| | 638.1409
| | 1276.2816
| | ([[13/9]])
| | 117/56
| |  
| |  
|-
|-
| | 21
| | 21
| | 670.048
| | 1340.0959
| | 81/55
| | 13/6
| |  
| |  
|-
|-
| | 22
| | 22
| | 701.955
| | 1403.91
| | '''exact [[3/2]]'''
| |'''exact''' 9/4
| | 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
|
|}
|}


Revision as of 21:17, 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

11EDF is the equal division of the just perfect fifth into 11 parts of 63.8141 cents each, corresponding to 18.8046 edo (similar to every fifth step of 94edo).

Intervals

degree cents value corresponding
JI intervals 		comments
0 exact 1/1
1 63.8141 (28/27), (27/26)
2 127.6282 14/13
3 191.4423
4 255.2564
5 319.0705 6/5
6 382.8845 5/4
7 446.6986
8 510.5127
9 574.3268 39/28
10 638.1409 (13/9)
11 701.955 exact 3/2 just perfect fifth
12 765.7691 14/9, 81/52
13 828.5732 21/13
14 893.3973
15 956.2114
16 1020.0255 9/5
17 1084.8395 15/8
18 1148.6536
19 1211.4677
20 1276.2816 117/56
21 1340.0959 13/6
22 1403.91 exact 9/4
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