49/36

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Interval information
Ratio 49/36
Factorization 2-2 × 3-2 × 72
Monzo [-2 -2 0 2
Size in cents 533.74181¢
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{n\cdot d}[/math])
~4.60898 bits

[sound info]
open this interval in xen-calc

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.