4/1

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Interval information
Ratio 4/1
Factorization 22
Monzo [2⟩
Size in cents 2400¢
Names 4th harmonic,
double octave,
perfect fifteenth,
tetrave,
quadruple
Color name wa 15th
FJS name [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

[sound info]
Open this interval in xen-calc
English Wikipedia has an article on:

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.

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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