4edf

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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.

This division is said to be used in traditional scales of Georgia. See the discussion on the Yahoo tuning list.

Intervals

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

Compositions