49/36

Interval information

Ratio	49/36
Factorization	2-2 × 3-2 × 72
Monzo	[-2 -2 0 2⟩
Size in cents	533.7418¢
Name	Arabic lute acute fourth
Color name	zz5, zozo 5th
FJS name	[math]\displaystyle{ \text{d5}^{7,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	10.7846
Weil norm (log2 max(n, d))	11.2294
Wilson norm (sopfr(nd))	24
[sound info]
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49/36, the Arabic lute acute fourth, is composed of two subminor thirds of 7/6, and is the interval between 9/7 and 7/4. It is 540/539 (~4 ¢) flat of 15/11. Tempering out 540/539 leads to 11-limit swetismic chords, such as the tempering of 1–9/7–3/2–7/4 (note that this chord is 15-odd-limit).

Approximation

This interval is especially near the 4th step of 9edo.

Edo approximations for 49/36 (533.74 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
9	4\9	533.33	-0.41	-0.31
18	8\18	533.33	-0.41	-0.61
27	12\27	533.33	-0.41	-0.92
36	16\36	533.33	-0.41	-1.23
38	17\38	536.84	+3.10	+9.82
45	20\45	533.33	-0.41	-1.53
47	21\47	536.17	+2.43	+9.51
54	24\54	533.33	-0.41	-1.84
56	25\56	535.71	+1.97	+9.20
63	28\63	533.33	-0.41	-2.14
65	29\65	535.38	+1.64	+8.90
72	32\72	533.33	-0.41	-2.45
74	33\74	535.14	+1.39	+8.59