10edf: Difference between revisions
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| Line 22: | Line 22: | ||
|- | |- | ||
|3 | |3 | ||
| | |210.5865 | ||
|vD | |vD | ||
|- | |- | ||
| Line 30: | Line 30: | ||
|- | |- | ||
|5 | |5 | ||
| | |350.9775 | ||
|^D, vE | |^D, vE | ||
|- | |- | ||
| Line 38: | Line 38: | ||
|- | |- | ||
|7 | |7 | ||
| | |491.3685 | ||
|^E, vF | |^E, vF | ||
|- | |- | ||
| Line 46: | Line 46: | ||
|- | |- | ||
|9 | |9 | ||
| | |631.7595 | ||
|^F, vC | |^F, vC | ||
|- | |- | ||
| Line 54: | Line 54: | ||
|- | |- | ||
|11 | |11 | ||
| | |772.1505 | ||
|^C, vDb | |^C, vDb | ||
|- | |- | ||
| Line 62: | Line 62: | ||
|- | |- | ||
|13 | |13 | ||
| | |912.5415 | ||
|vD | |vD | ||
|- | |- | ||
| Line 93: | Line 93: | ||
|C | |C | ||
|} | |} | ||
==Music== | ==Music== | ||
*http://www.archive.org/details/10Edf by [[Peter Kosmorsky]] | *http://www.archive.org/details/10Edf by [[Peter Kosmorsky]] | ||
Revision as of 20:41, 8 March 2023
| ← 9edf | 10edf | 11edf → |
(semiconvergent)
(semiconvergent)
Division of the just perfect fifth into 10 equal parts (10EDF) is related to 17 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 6.6765 cents compressed and the step size is about 70.1955 cents. It is consistent to the 7-integer-limit, but not to the 8-integer-limit. In comparison, 17edo is only consistent up to the 4-integer-limit.
Intervals
| degree | Neptunian notation using 8\10edf | |
|---|---|---|
| 0 | C | |
| 1 | 70.1955 | ^C, vDb |
| 2 | 140.391 | C#, Db |
| 3 | 210.5865 | vD |
| 4 | 280.782 | D |
| 5 | 350.9775 | ^D, vE |
| 6 | 421.173 | E |
| 7 | 491.3685 | ^E, vF |
| 8 | 561.564 | F |
| 9 | 631.7595 | ^F, vC |
| 10 | 701.955 | C |
| 11 | 772.1505 | ^C, vDb |
| 12 | 842.346 | C#, Db |
| 13 | 912.5415 | vD |
| 14 | 982.737 | D |
| 15 | 1052.9325 | ^D, vE |
| 16 | 1123.128 | E |
| 17 | 1193.3235 | ^E, vF |
| 18 | 1263.519 | F |
| 19 | 1333.7145 | ^F, vC |
| 20 | 1403.91 | C |