10edf
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Prime factorization
2 × 5
Step size
70.1955¢
Octave
17\10edf (1193.32¢)
(semiconvergent)
Twelfth
27\10edf (1895.28¢)
(semiconvergent)
Consistency limit
7
Distinct consistency limit
4
| ← 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 | Neapolitan notation using 3/10edf | |
|---|---|---|---|
| 0 | C | F | |
| 1 | 70.1955 | ^C, vDb | F^, Gb |
| 2 | 140.391 | C#, Db | F#, Gd |
| 3 | 210.5865 | vD | G |
| 4 | 280.782 | D | G^, Ab |
| 5 | 350.9775 | ^D, vE | G#, Ad |
| 6 | 421.173 | E | A |
| 7 | 491.3685 | ^E, vF | A^, Hb |
| 8 | 561.564 | F | A#, Hd |
| 9 | 631.7595 | ^F, vC | H |
| 10 | 701.955 | C | B |
| 11 | 772.1505 | ^C, vDb | B^, Cb |
| 12 | 842.346 | C#, Db | B#, Cd |
| 13 | 912.5415 | vD | C |
| 14 | 982.737 | D | C^, Db |
| 15 | 1052.9325 | ^D, vE | C#, Dd |
| 16 | 1123.128 | E | D |
| 17 | 1193.3235 | ^E, vF | D^, Eb |
| 18 | 1263.519 | F | D#, Eb |
| 19 | 1333.7145 | ^F, vC | E |
| 20 | 1403.91 | C | F |