20edf

← 19edf

20edf

21edf →

Prime factorization	22 × 5
Step size	35.0978¢
Octave	34\20edf (1193.32¢) (→17\10edf)
Twelfth	54\20edf (1895.28¢) (→27\10edf)
Consistency limit	7
Distinct consistency limit	6

20edf is very close to the Carlos Gamma tuning.

Intervals

The first steps up to two just perfect fifths should give a feeling of the granularity of this system…

Intervals of 20edf

Degrees	Cents
1	35.1
2	70.2
3	105.29
4	140.39
5	175.49
6	210.59
7	245.68
8	280.78
9	315.88
10	350.98
11	386.075
12	421.17
13	456.27
14	491.37
15	526.47
16	561.56
17	596.66
18	631.76
19	666.86
20	701.955
21	737.05
22	772.15
23	807.25
24	842.35
25	877.44
26	912.54
27	947.64
28	982.74
29	1017.835
30	1052.93
31	1088.03
32	1123.13
33	1158.23
34	1193.32
35	1228.42
36	1263.52
37	1298.62
38	1333.715
39	1368.81
40	1403.91

Harmonics

Approximation of prime harmonics in 20edf

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	-6.7	-6.7	-13.6	+0.6	-9.8	+16.9	+8.7	-8.3	+11.9	-3.4	-13.5
	Relative (%)	-19.0	-19.0	-38.7	+1.6	-27.9	+48.1	+24.9	-23.8	+33.8	-9.5	-38.5
Steps (reduced)		34 (14)	54 (14)	79 (19)	96 (16)	118 (18)	127 (7)	140 (0)	145 (5)	155 (15)	166 (6)	169 (9)

Approximation of prime harmonics in 20edf

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	-3.9	-6.2	+16.7	+3.1	+5.7	-4.5	+8.0	-14.1	-9.2	+12.9	+16.6
	Relative (%)	-11.2	-17.6	+47.5	+8.7	+16.1	-12.9	+22.7	-40.1	-26.1	+36.9	+47.2
Steps (reduced)		178 (18)	183 (3)	186 (6)	190 (10)	196 (16)	201 (1)	203 (3)	207 (7)	210 (10)	212 (12)	216 (16)

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