52/51

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Interval information

Ratio

52/51

Factorization

2² × 3^-1 × 13 × 17^-1

[2 -1 0 0 0 1 -1⟩

Size in cents

33.61725¢

Name

small septendecimal sixth tone

17u3o1, sutho 1sn,
Sutho comma

[math]\displaystyle{ \text{P1}^{13}_{17} }[/math]

Special properties

superparticular,
reduced

Tenney height (log₂ nd)

11.3729

Weil height (log₂ max(n, d))

11.4009

Wilson height (sopfr(nd))

37

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

~4.50654 bits

Open this interval in xen-calc

52/51, the small septendecimal sixth tone is a superparticular interval of about 33.6 ¢. It is the difference between 4/3 and 17/13, as well as 13/12 and 17/16.

See also

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