38/21

Interval information
Ratio	38/21
Factorization	2 × 3-1 × 7-1 × 19
Monzo	[1 -1 0 -1 0 0 0 1⟩
Size in cents	1026.732¢
Names	hendrix minor seventh,; undevicesimal supraminor seventh,; undevicesimal subneutral seventh
Color name	19or7, noru 7th
FJS name	[math]\displaystyle{ \text{m7}^{19}_{7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.64024
Weil norm (log2 max(n, d))	10.4959
Wilson norm (sopfr(nd))	31
	https://en.xen.wiki/w/File:Ji-38-21-csound-foscil-220hz.mp3; [sound info]
	Open this interval in xen-calc

In 19-limit just intonation, 38/21 is the hendrix minor seventh, also known as the undevicesimal supraminor seventh or undevicesimal subneutral seventh. It exceeds the Pythagorean minor seventh (16/9) by a hendrix comma (57/56).

Approximation

Edo approximations for 38/21 (1026.73 ¢)
*≤ 80edo, relative error ≤ 10%*
Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
7	6\7	1028.57	+1.84	+1.07
14	12\14	1028.57	+1.84	+2.15
21	18\21	1028.57	+1.84	+3.22
28	24\28	1028.57	+1.84	+4.29
34	29\34	1023.53	-3.20	-9.07
35	30\35	1028.57	+1.84	+5.36
41	35\41	1024.39	-2.34	-8.00
42	36\42	1028.57	+1.84	+6.44
48	41\48	1025.00	-1.73	-6.93
49	42\49	1028.57	+1.84	+7.51
55	47\55	1025.45	-1.28	-5.86
56	48\56	1028.57	+1.84	+8.58
62	53\62	1025.81	-0.93	-4.78
63	54\63	1028.57	+1.84	+9.66
69	59\69	1026.09	-0.65	-3.71
76	65\76	1026.32	-0.42	-2.64