20ed7

Revision as of 20:30, 5 October 2022 by Plumtree (talk | contribs) (Infobox ET added)

Division of the 7th harmonic into 20 equal parts (20ed7) is related to the meantone temperament. The step size is about 168.4413 cents, corresponding to 7.1241 edo.

← 19ed7 20ed7 21ed7 →
Prime factorization 22 × 5
Step size 168.441 ¢ 
Octave 7\20ed7 (1179.09 ¢)
Twelfth 11\20ed7 (1852.85 ¢)
Consistency limit 4
Distinct consistency limit 4
degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 168.4413 11/10
2 336.8826 17/14
3 505.3239 91/68
4 673.7652 28/19, 96/65, 65/44, 34/23
5 842.2065 13/8
6 1010.6478 70/39
7 1179.0891 77/39
8 1347.5304 24/11
9 1515.9717 12/5
10 1684.4130 119/45, 45/17
11 1852.8542 35/12
12 2021.2955 77/24
13 2189.7368 39/11
14 2358.1781 39/10
15 2526.6194 56/13
16 2695.0607 19/4
17 2863.5020 68/13
18 3031.9433 98/17
19 3200.3846 70/11
20 3368.8259 exact 7/1 harmonic seventh plus two octaves