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]\text{d5}^{7,7}[/math]
Special properties	reduced
Tenney height (log2 nd)	10.7846
Weil height (log2 max(n, d))	11.2294
Wilson height (sopfr(nd))	24
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.27334 bits
[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-odd-limit swetismic chords such as the tempering of 1-9/7-3/2-7/4.

Approximation

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