11/1

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Interval information

Ratio

11/1

11 [1⟩

Size in cents

4151.318¢

Names

11th harmonic,
undecuple

c³1o4, tricolo 4th

[math]\displaystyle{ \text{P25}^{11} }[/math]

Special properties

harmonic,
prime harmonic

Tenney height (log₂ nd)

3.45943

Weil height (log₂ max(n, d))

6.91886

Wilson height (sopfr(nd))

11

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

~2.55923 bits

Open this interval in xen-calc

11/1, the 11th harmonic or undecuple, is the harmonic past 10/1 and before 12/1. It is three octaves above 11/8, and is the basis of 11-limit harmony, as many 11-limit intervals can be expressed as the difference between this and another harmonic.

See also

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