10edf

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← 9edf10edf11edf →
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

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 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

Music