10edf

From Xenharmonic Wiki
Jump to navigation Jump to search
← 9edf 10edf 11edf →
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 6

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.

Lookalikes: 17edo, 27edt

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

Music