4edf: Difference between revisions
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Adopt template: ED intro; cleanup; -redundant categories |
Rework interval table, including removing irrelevant stuff |
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| Line 4: | Line 4: | ||
== Intervals == | == Intervals == | ||
{| class="wikitable" | {| class="wikitable center-1 right-2 center-3" | ||
|- | |- | ||
! | ! # | ||
! | ! Cents | ||
! Tetratonic<br>Notation | |||
! Tetratonic | |||
|- | |- | ||
| 0 | |||
| | | 0.000 | ||
| C | | C | ||
|- | |- | ||
| 1 | | 1 | ||
| 175. | | 175.5 | ||
| D | | D | ||
|- | |- | ||
| 2 | | 2 | ||
| | | 351.0 | ||
| E | | E | ||
|- | |- | ||
| 3 | | 3 | ||
| 526. | | 526.5 | ||
| F | | F | ||
|- | |- | ||
| 4 | | 4 | ||
| | | 702.0 | ||
| C | | C | ||
|- | |- | ||
| 5 | | 5 | ||
| 877. | | 877.4 | ||
| D | | D | ||
|- | |- | ||
| 6 | | 6 | ||
| 1052. | | 1052.9 | ||
| E | | E | ||
|- | |- | ||
| 7 | | 7 | ||
| 1228. | | 1228.4 | ||
| F | | F | ||
|- | |- | ||
| 8 | | 8 | ||
| 1403. | | 1403.9 | ||
| C | | C | ||
|- | |- | ||
| 9 | | 9 | ||
| 1579. | | 1579.4 | ||
| D | | D | ||
|- | |- | ||
| 10 | | 10 | ||
| 1754. | | 1754.9 | ||
| E | | E | ||
|- | |- | ||
| 11 | | 11 | ||
| 1930. | | 1930.4 | ||
| F | | F | ||
|- | |- | ||
| 12 | | 12 | ||
| 2105. | | 2105.9 | ||
| C | | C | ||
|- | |- | ||
| 13 | | 13 | ||
| 2281. | | 2281.4 | ||
| D | | D | ||
|- | |- | ||
| 14 | | 14 | ||
| 2456. | | 2456.8 | ||
| E | | E | ||
|} | |} | ||
Revision as of 06:04, 10 May 2024
| ← 3edf | 4edf | 5edf → |
(semiconvergent)
(semiconvergent)
4 equal divisions of the perfect fifth (abbreviated 4edf or 4ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 4 equal parts of about 175 ¢ each. Each step represents a frequency ratio of (3/2)1/4, or the 4th root of 3/2. It corresponds to 6.8380edo. It is related to the tetracot temperament, which tempers out 20000/19683 in the 5-limit.
Intervals
| # | Cents | Tetratonic Notation |
|---|---|---|
| 0 | 0.000 | C |
| 1 | 175.5 | D |
| 2 | 351.0 | E |
| 3 | 526.5 | F |
| 4 | 702.0 | C |
| 5 | 877.4 | D |
| 6 | 1052.9 | E |
| 7 | 1228.4 | F |
| 8 | 1403.9 | C |
| 9 | 1579.4 | D |
| 10 | 1754.9 | E |
| 11 | 1930.4 | F |
| 12 | 2105.9 | C |
| 13 | 2281.4 | D |
| 14 | 2456.8 | E |