16ed11/5

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

← 15ed11/5

16ed11/5

17ed11/5 →

Prime factorization	24
Step size	85.3128¢
Octave	14\16ed11/5 (1194.38¢) (→7\8ed11/5)
Twelfth	22\16ed11/5 (1876.88¢) (→11\8ed11/5)
Consistency limit	4
Distinct consistency limit	2

16 equal divisions of 11/5 (abbreviated 16ed11/5) is a nonoctave tuning system that divides the interval of 11/5 into 16 equal parts of about 85.3 ¢ each. Each step represents a frequency ratio of (11/5)^1/16, or the 16th root of 11/5.

Intervals

Steps	Cents	Approximate Ratios
0	0	1/1
1	85.313	17/16, 18/17, 20/19, 23/22
2	170.626	11/10
3	255.938	7/6, 15/13, 22/19, 23/20
4	341.251	16/13, 17/14, 23/19
5	426.564	9/7, 19/15
6	511.877	4/3
7	597.189	17/12, 24/17
8	682.502	3/2, 22/15
9	767.815	14/9
10	853.128	13/8
11	938.44	12/7, 19/11
12	1023.753	20/11
13	1109.066	17/9, 19/10
14	1194.379	2/1
15	1279.691	23/11
16	1365.004	11/5

Harmonics

Approximation of harmonics in 16ed11/5

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-5.6	-25.1	-11.2	+29.0	-30.7	-41.6	-16.9	+35.2	+23.4	+29.0	-36.3
	Relative (%)	-6.6	-29.4	-13.2	+34.0	-36.0	-48.8	-19.8	+41.2	+27.4	+34.0	-42.6
Steps (reduced)		14 (14)	22 (6)	28 (12)	33 (1)	36 (4)	39 (7)	42 (10)	45 (13)	47 (15)	49 (1)	50 (2)

Approximation of harmonics in 16ed11/5

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-4.3	+38.1	+3.9	-22.5	-42.1	+29.5	+21.3	+17.8	+18.6	+23.4	+31.7
	Relative (%)	-5.0	+44.6	+4.6	-26.4	-49.4	+34.6	+24.9	+20.8	+21.8	+27.4	+37.2
Steps (reduced)		52 (4)	54 (6)	55 (7)	56 (8)	57 (9)	59 (11)	60 (12)	61 (13)	62 (14)	63 (15)	64 (0)