26/15

Interval information

Ratio	26/15
Factorization	2 × 3-1 × 5-1 × 13
Monzo	[1 -1 -1 0 0 1⟩
Size in cents	952.2589¢
Name	tridecimal semitwelfth
Color name	3og7, thogu 7th
FJS name	[math]\displaystyle{ \text{d7}^{13}_{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.60733
Weil norm (log2 max(n, d))	9.40088
Wilson norm (sopfr(nd))	23
[sound info]
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26/15, the tridecimal semitwelfth, is a 13-limit interseptimal interval measuring about 952 ¢. Two 26/15's exceed the tritave by 676/675.

Approximation

Edo approximations for 26/15 (952.26 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	4\5	960.00	+7.74	+3.23
10	8\10	960.00	+7.74	+6.45
15	12\15	960.00	+7.74	+9.68
19	15\19	947.37	-4.89	-7.74
24	19\24	950.00	-2.26	-4.52
29	23\29	951.72	-0.53	-1.29
34	27\34	952.94	+0.68	+1.93
39	31\39	953.85	+1.59	+5.16
44	35\44	954.55	+2.29	+8.38
48	38\48	950.00	-2.26	-9.04
53	42\53	950.94	-1.32	-5.81
58	46\58	951.72	-0.53	-2.58
63	50\63	952.38	+0.12	+0.64
68	54\68	952.94	+0.68	+3.87
73	58\73	953.42	+1.17	+7.09

Trivia

This ratio is the difference between two relatively common record speeds (78rpm and 45rpm). As such, if a 78 is played at 45rpm, the pitch is lowered by this interval.

See also

• 15/13 – its octave complement
• Gallery of just intervals

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