49/40

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Interval information

Ratio

49/40

Factorization

2^-3 × 5^-1 × 7²

[-3 0 -1 2⟩

Size in cents

351.3381¢

Name

larger septimal neutral third

zzg4, zozogu 4th

[math]\displaystyle{ \text{d4}^{7,7}_{5} }[/math]

Special properties

Tenney height (log₂ nd)

10.9366

Weil height (log₂ max(n, d))

11.2294

Wilson height (sopfr(nd))

25

Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])

~4.26204 bits

Open this interval in xen-calc

49/40, the larger septimal neutral third, is only 2401/2400 (0.72 ¢) sharp of 60/49, the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 441/440 (3.9 ¢) sharp of 11/9, and this is one of the ways 11-limit harmony is introduced into 7-limit scales. In particular, it is the interval between 8/7 and 7/5.

See also

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