4edf

Revision as of 09:37, 8 May 2023 by FloraC (talk | contribs) (Why is there a scale tree lol)
← 3edf 4edf 5edf →
Prime factorization 22
Step size 175.489 ¢ 
Octave 7\4edf (1228.42 ¢)
(semiconvergent)
Twelfth 11\4edf (1930.38 ¢)
(semiconvergent)
Consistency limit 6
Distinct consistency limit 5
Special properties

4EDF is the equal division of the just perfect fifth into four parts of 175.489 cents each, corresponding to 6.8380 edo. It is related to the tetracot temperament, which tempers out 20000/19683 in the 5-limit.

Intervals

degree cents value octave-reduced cents value Tetratonic notation
0 C
1 175.489 D
2 350.978 E
3 526.466 F
4 701.955 C
5 877.444 D
6 1052.933 E
second octave
7 1228.421 28.421 F
8 1403.910 203.910 C
nonet
9 1579.399 379.399 D
10 1754.888 554.888 E
11 1930.376 730.376 F
12 2105.865 905.865 C
13 2281.354 1081.354 D
third octave
14 2456.843 56.843 E

Music

Carlo Serafini