27ed5

← 26ed5

27ed5

28ed5 →

Prime factorization	33
Step size	103.197 ¢
Octave	12\27ed5 (1238.36 ¢) (→ 4\9ed5)
Twelfth	18\27ed5 (1857.54 ¢) (→ 2\3ed5)
Consistency limit	2
Distinct consistency limit	2

Division of the 5th harmonic into 27 equal parts (27ED5) is a good hyperpyth tuning. The step size is about 103.1968 cents, corresponding to 11.6283 EDO.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	103.1968	17/16, 35/33
2	206.3936	9/8, 44/39
3	309.5904	25/21, 6/5
4	412.7872	14/11, 19/15
5	515.9840	35/26
6	619.1808	10/7
7	722.3776	38/25
8	825.5744	8/5
9	928.7712	12/7
10	1031.9680	9/5
11	1135.1648	27/14
12	1238.3617	45/22
13	1341.5585	13/6
14	1444.7553	23/10, 30/13
15	1547.9521	22/9
16	1651.1489	13/5
17	1754.3457	11/4
18	1857.5425	38/13, 44/15
19	1960.7393	31/10
20	2063.9361	33/10, 56/17
21	2167.1329	7/2	17/5 plus 48.5 cents
22	2270.3297	26/7	19/5 minus 40.9 cents
23	2373.5265	63/16
24	2476.7233	21/5, 88/21
25	2579.9201	22/5, 40/9
26	2683.1169	33/7, 52/11, 80/17
27	2786.3137	exact 5/1	just major third plus two octaves