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Created page with "'''22EDF''' is the equal division of the just perfect fifth into 22 parts of 31.9070 cents each, corresponding to 37.6092 edo (similar to every fifth step..." |
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'''22EDF''' is the [[EDF|equal division of the just perfect fifth]] into 22 parts of 31. | '''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== | ==Intervals== | ||
Line 10: | Line 10: | ||
|- | |- | ||
| | 0 | | | 0 | ||
| | | | | 0 | ||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
| | | | | | ||
|- | |- | ||
| | 1 | | | 1 | ||
| | 31. | | | 31.907 | ||
| | [[55/54]] | | | [[55/54]] | ||
| | | | | | ||
Line 46: | Line 46: | ||
| | 7 | | | 7 | ||
| | 223.3493 | | | 223.3493 | ||
| | | | |8/7 | ||
| | | | | | ||
|- | |- | ||
Line 56: | Line 56: | ||
| | 9 | | | 9 | ||
| | 287.1634 | | | 287.1634 | ||
| | | | |13/11 | ||
| | | | | | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | 319.0705 | | | 319.0705 | ||
| | | | |6/5 | ||
| | | | | | ||
|- | |- | ||
Line 71: | Line 71: | ||
| | 12 | | | 12 | ||
| | 382.8845 | | | 382.8845 | ||
| | | | |5/4 | ||
| | | | | | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | 414.7916 | | | 414.7916 | ||
| | | | |14/11 | ||
| | | | | | ||
|- | |- | ||
Line 106: | Line 106: | ||
| | 19 | | | 19 | ||
| | 606.2339 | | | 606.2339 | ||
| | | | |64/45 | ||
| | | | | | ||
|- | |- | ||
Line 115: | Line 115: | ||
|- | |- | ||
| | 21 | | | 21 | ||
| | 670. | | | 670.048 | ||
| | 81/55 | | | 81/55 | ||
| | | | | | ||
|- | |- | ||
| | 22 | | | 22 | ||
| | 701. | | | 701.955 | ||
| | '''exact [[3/2]]''' | | | '''exact [[3/2]]''' | ||
| | just perfect fifth | | | 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:Edonoi]] | [[Category:Edonoi]] |
Revision as of 18:11, 9 March 2019
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 | 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 |