17ed5

Division of the 5/1 into 17 tones

A hyperpyth tuning, 17ed5 offers a good compromise between 13/5 and 17/5, but the 9/5 of 983 cents is a little bit flat. However, in hyperpyth, 21/5 isn't necessarily represented, at least not as well. In 17ed5, the 21/5 is represented about as well as the 9/5 is, although that's not too good. Luckily, 27, 29, and 39 do a fair job of it. Nevertheless it's the simplest equal hyperpyth after 5ed5, and quite consonant. I imagine it to be the traditional tonality of the tiny creatures living on subatomic particles.

But wait, an interesting pattern emerges:

22ed5 focuses on 9/5

27ed5 focuses on 13/5

29ed5 focuses on 17/5

(and 34=17*2)

so: 22+27+29=78=39*2

and behold, of the lot, 39ed5 offers the best balance between those intervals.

0: 0.000 cents	1/1
1: 163.901
2: 327.802
3: 491.702
4: 655.603
5: 819.504
6: 983.405	9/5, 16/9, 7/4	1017
7: 1147.306
8: 1311.206
9: 1475.107
10: 1639.008	13/5	1654
11: 1802.909
12: 1966.810
13: 2130.710	17/5	2118
14: 2294.611
15: 2458.512	(21/5)	2486
16: 2622.413
17: 2786.314	5/1