27/17

Interval information

Ratio	27/17
Subgroup monzo	3.17 [3 -1⟩
Size in cents	800.9096¢
Name	septendecimal quasi-tempered minor sixth
Color name	17u5, su 5th
FJS name	[math]\displaystyle{ \text{A5}_{17} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.84235
Weil norm (log2 max(n, d))	9.50978
Wilson norm (sopfr(nd))	26
Open this interval in xen-calc

27/17, the septendecimal quasi-tempered minor sixth, is a 17-limit interval that is extremely well-approximated by 2\3.

Approximation

Edo approximations for 27/17 (800.91 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
3	2\3	800.00	-0.91	-0.23
6	4\6	800.00	-0.91	-0.45
9	6\9	800.00	-0.91	-0.68
12	8\12	800.00	-0.91	-0.91
15	10\15	800.00	-0.91	-1.14
18	12\18	800.00	-0.91	-1.36
21	14\21	800.00	-0.91	-1.59
24	16\24	800.00	-0.91	-1.82
27	18\27	800.00	-0.91	-2.05
30	20\30	800.00	-0.91	-2.27
33	22\33	800.00	-0.91	-2.50
36	24\36	800.00	-0.91	-2.73
39	26\39	800.00	-0.91	-2.96
42	28\42	800.00	-0.91	-3.18
45	30\45	800.00	-0.91	-3.41
48	32\48	800.00	-0.91	-3.64
51	34\51	800.00	-0.91	-3.87
54	36\54	800.00	-0.91	-4.09
57	38\57	800.00	-0.91	-4.32
60	40\60	800.00	-0.91	-4.55
63	42\63	800.00	-0.91	-4.78
66	44\66	800.00	-0.91	-5.00
69	46\69	800.00	-0.91	-5.23
72	48\72	800.00	-0.91	-5.46
75	50\75	800.00	-0.91	-5.68
78	52\78	800.00	-0.91	-5.91

See also

• 34/27 – its octave complement