4/1: Difference between revisions

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== See also ==
== See also ==
* [[Ed4]] – equal divisions of the 4th harmonic
* [[Ed4]] – equal divisions of the 4th harmonic
[[Category:Taxicab-2 intervals]]

Revision as of 14:08, 2 December 2024

Interval information
Ratio 4/1
Factorization 22
Monzo [2
Size in cents 2400¢
Names 4th harmonic,
double octave,
fifteenth,
tetrave
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, fifteenth, or tetrave is the harmonic past 3/1 and before 5/1. It is equal to a stack of two octaves: (2/1)2.

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

See also

  • Ed4 – equal divisions of the 4th harmonic