42/25

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Interval information

Ratio

42/25

Factorization

2 × 3 × 5^-2 × 7

[1 1 -2 1⟩

Size in cents

898.1535¢

Name

quasi-tempered major sixth

zgg7, zogugu 7th

[math]\displaystyle{ \text{d7}^{7}_{5,5} }[/math]

Special properties

Tenney height (log₂ nd)

10.0362

Weil height (log₂ max(n, d))

10.7846

Wilson height (sopfr(nd))

22

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

~4.1231 bits

Open this interval in xen-calc

42/25, the quasi-tempered major sixth, is the octave complement of 25/21. It is 126/125 sharp of 5/3, and is extremely close to 9 steps of 12edo (900 cents).

See also

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