13/1

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Interval information

Ratio

13/1

13 [1⟩

Size in cents

4440.528¢

Name

13th harmonic

c³3o6, tricotho 6th

[math]\displaystyle{ \text{m27}^{13} }[/math]

Special properties

harmonic,
prime harmonic

Tenney height (log₂ nd)

3.70044

Weil height (log₂ max(n, d))

7.40088

Wilson height (sopfr(nd))

13

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

~2.47525 bits

Open this interval in xen-calc

13/1, the 13th harmonic, is the harmonic past 12/1 and before 14/1. It is three octaves above 13/8, and is the basis of 13-limit harmony, as many 13-limit intervals can be expressed as the difference between this and another harmonic.

See also

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