4edf: Difference between revisions
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| Line 87: | Line 87: | ||
| D | | D | ||
|- | |- | ||
! colspan=" | ! colspan="4" | third octave | ||
|- | |- | ||
| 14 | | 14 | ||
Revision as of 19:15, 17 February 2023
| ← 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 | 2L 2s 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 |