5edt
| ← 4edt | 5edt | 6edt → |
(semiconvergent)
(semiconvergent)
5edt (5 Equal Divisions of the Tritave) subdivides the interval of the tritave, frequency ratio 3:1, into 5 equal-sized parts, each 380.391 Cents in size.
Steps
| Degrees | Cents | Hekts | Approximate Ratios |
|---|---|---|---|
| 0 | 0.000 | 0 | 1/1 |
| 1 | 380.391 | 260 | 5/4 |
| 2 | 760.782 | 520 | 14/9 |
| 3 | 1141.173 | 780 | 27/14 |
| 4 | 1521.564 | 1040 | 12/5 (6/5 plus an octave) |
| 5 | 1901.955 | 1300 | 3/1 |
5edt isn't very useful melodically, though it has many notable harmonic properties shared by other 5n-edts (EDTs with 5 as a prime factor). It has a surprisingly accurate major third, five of them making a tritave. It therefore tempers out 3125/3072, the magic comma. Two of these major thirds give a septimal minor sixth, meaning that it also tempers out the 7-limit comma 225/224.
5edt is the lowest equal division of the tritave to encompass 5-limit harmony. The available chords are 4:5:12 and 5:12:15; essentially major and minor chords. This is similar to 6edt, which contains the same chords but with the major thirds transposed an octave higher, and vice versa.