4edf: Difference between revisions
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{{Infobox ET}} | |||
'''4EDF''' is the [[EDF|equal division of the just perfect fifth]] into four parts of 175.489 [[cent|cents]] each, corresponding to 6.8380 [[edo]]. It is related to the [[Tetracot family|tetracot temperament]], which tempers out 20000/19683 in the 5-limit. | '''4EDF''' is the [[EDF|equal division of the just perfect fifth]] into four parts of 175.489 [[cent|cents]] each, corresponding to 6.8380 [[edo]]. It is related to the [[Tetracot family|tetracot temperament]], which tempers out 20000/19683 in the 5-limit. | ||
Revision as of 18:48, 5 October 2022
← 3edf | 4edf | 5edf → |
(semiconvergent)
(semiconvergent)
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 |