26/17

Interval information

Ratio	26/17
Subgroup monzo	2.13.17 [1 1 -1⟩
Size in cents	735.5723¢
Name	septendecimal superfifth
Color name	17u3o5, sutho 5th
FJS name	[math]\displaystyle{ \text{P5}^{13}_{17} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.7879
Weil norm (log2 max(n, d))	9.40088
Wilson norm (sopfr(nd))	32
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In 17-limit just intonation, 26/17 is the septendecimal superfifth. It differs from the 3/2 perfect fifth by the comma 52/51, about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of root-3rd-P5 chords – in particular, 17:20:26, 17:21:26, 17:22:26.

26/17 is the mediant of 3/2 and 23/15.

It is less than 0.2 cents sharp of 31edo's superfifth of 735.48¢ (19\31).

Approximation

Edo approximations for 26/17 (735.57 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	3\5	720.00	-15.57	-6.49
8	5\8	750.00	+14.43	+9.62
13	8\13	738.46	+2.89	+3.13
18	11\18	733.33	-2.24	-3.36
23	14\23	730.43	-5.14	-9.85
26	16\26	738.46	+2.89	+6.26
31	19\31	735.48	-0.09	-0.23
36	22\36	733.33	-2.24	-6.72
39	24\39	738.46	+2.89	+9.39
44	27\44	736.36	+0.79	+2.90
49	30\49	734.69	-0.88	-3.59
57	35\57	736.84	+1.27	+6.03
62	38\62	735.48	-0.09	-0.46
67	41\67	734.33	-1.24	-6.95
70	43\70	737.14	+1.57	+9.16
75	46\75	736.00	+0.43	+2.67
80	49\80	735.00	-0.57	-3.82

See also

• 17/13 – its octave complement
• Gallery of just intervals