4/1
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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]\text{P15}[/math]
Special properties
harmonic
Tenney height (log2 nd)
2
Weil height (log2 max(n, d))
4
Wilson height (sopfr(nd))
4
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.07644 bits
[sound info]
open this interval in xen-calc
| Interval information |
double octave,
fifteenth,
tetrave
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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