39ed9

This page is a stub. You can help the Xenharmonic Wiki by expanding it.

← 37ed9

39ed9

41ed9 →

Prime factorization	3 × 13
Step size	97.5362¢
Octave	12\39ed9 (1170.43¢) (→4\13ed9)
Twelfth	20\39ed9 (1950.72¢)
Consistency limit	2
Distinct consistency limit	2

Similar to 97.5cET, 39ed9 divides the double tritave, 9/1, into 39 equal steps of approximately 97.5362c. It stands out as a 4/3.5/3.7/3.11/3.13/3.9 subgroup tuning.

Intervals

Steps	Cents	Approximate Ratios
0	0	1/1
1	97.536
2	195.072	19/17, 29/26
3	292.608	13/11
4	390.145
5	487.681
6	585.217	7/5
7	682.753
8	780.289	11/7
9	877.825	5/3
10	975.362
11	1072.898	13/7
12	1170.434
13	1267.97	29/14
14	1365.506	11/5
15	1463.042	7/3
16	1560.578
17	1658.115	13/5
18	1755.651
19	1853.187
20	1950.723
21	2048.259
22	2145.795
23	2243.332	11/3
24	2340.868
25	2438.404
26	2535.94	13/3
27	2633.476
28	2731.012	29/6
29	2828.548
30	2926.085
31	3023.621
32	3121.157
33	3218.693
34	3316.229
35	3413.765
36	3511.302
37	3608.838
38	3706.374	17/2
39	3803.91

Harmonics

Approximation of harmonics in 39ed9

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-29.6	+48.8	+38.4	+42.2	+19.2	+44.9	+8.8	+0.0	+12.7	+42.7	-10.4
	Relative (%)	-30.3	+50.0	+39.4	+43.3	+19.7	+46.1	+9.1	+0.0	+13.0	+43.8	-10.6
Steps (reduced)		12 (12)	20 (20)	25 (25)	29 (29)	32 (32)	35 (35)	37 (37)	39 (0)	41 (2)	43 (4)	44 (5)

Approximation of harmonics in 39ed9

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+46.1	+15.4	-6.5	-20.7	-28.1	-29.6	-25.6	-16.9	-3.8	+13.2	+33.8
	Relative (%)	+47.3	+15.8	-6.7	-21.3	-28.9	-30.3	-26.3	-17.3	-3.9	+13.5	+34.6
Steps (reduced)		46 (7)	47 (8)	48 (9)	49 (10)	50 (11)	51 (12)	52 (13)	53 (14)	54 (15)	55 (16)	56 (17)