5edt

5 Equal Divisions of the Tritave

Degrees	Cents	Approximate Ratios
0	0	1/1
1	380.391	5/4
2	760.782	14/9
3	1141.173	27/14
4	1521.564	12/5 (6/5 plus an octave)
5	1901.955	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.

Other 5n-edts:

10edt

15edt

20edt

25edt

30edt

...