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'''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]]). It is similar to [[19edo]] and nearly identical to [[Carlos Beta]]. | '''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]]). It is similar to [[19edo]] and nearly identical to [[Carlos Beta]]. | ||
While the fifth is just, the fourth is much wider and less accurate than in 19edo, and is about four cents flat of that of [[7edo]]. | |||
==Harmonics== | ==Harmonics== | ||
{{Harmonics in equal|11|3|2|prec=2}} | {{Harmonics in equal|11|3|2|prec=2|columns=15}} | ||
==Intervals== | ==Intervals== | ||
Revision as of 01:45, 12 May 2024
| ← 10edf | 11edf | 12edf → |
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). It is similar to 19edo and nearly identical to Carlos Beta.
While the fifth is just, the fourth is much wider and less accurate than in 19edo, and is about four cents flat of that of 7edo.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +12.47 | +12.47 | +24.94 | +21.51 | +24.94 | +13.32 | -26.41 | +24.94 | -29.84 | -3.40 | -26.41 | +26.46 | +25.79 | -29.84 | -13.94 |
| Relative (%) | +19.5 | +19.5 | +39.1 | +33.7 | +39.1 | +20.9 | -41.4 | +39.1 | -46.8 | -5.3 | -41.4 | +41.5 | +40.4 | -46.8 | -21.8 | |
| Steps (reduced) |
19 (8) |
30 (8) |
38 (5) |
44 (0) |
49 (5) |
53 (9) |
56 (1) |
60 (5) |
62 (7) |
65 (10) |
67 (1) |
70 (4) |
72 (6) |
73 (7) |
75 (9) | |
Intervals
| Degree | Cent 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 | 319.07045 | 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 | |