4/1

(Redirected from Tetrave)

Interval information

Ratio

4/1

Factorization

2²

[2⟩

Size in cents

2400¢

Names

4th harmonic,
double octave,
perfect fifteenth,
tetrave,
quadruple

wa 15th

[math]\displaystyle{ \text{P15} }[/math]

Special properties

harmonic,
highly composite harmonic

Tenney height (log₂ nd)

2

Weil height (log₂ max(n, d))

4

Wilson height (sopfr(nd))

4

Open this interval in xen-calc

4/1, the 4th harmonic, double octave, perfect fifteenth, tetrave or quadruple, is the harmonic past 3/1 and before 5/1. It is the first composite harmonic, equal to a stack of two octaves: (2/1)².

English Wikipedia has an article on:

Fifteenth

It can act as the interval of equivalence in temperaments that omit every other octave, such as meansquared.

See also

Ed4 – equal divisions of the 4th harmonic

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