5/1
Jump to navigation
Jump to search
Ratio
5/1
Factorization
5
Monzo
[0 0 1⟩
Size in cents
2786.3137¢
Names
5th harmonic,
pentave
Color name
ccy3, cocoyo 3rd
FJS name
[math]\text{M17}^{5}[/math]
Special properties
harmonic
Tenney height (log2 nd)
2.32193
Weil height (log2 max(n, d))
4.64386
Wilson height (sopfr(nd))
5
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~2.95314 bits
[sound info]
open this interval in xen-calc
| Interval information |
pentave
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
5/1, the 5th harmonic, or the pentave, is the harmonic past 4/1 and before 6/1. It is two octaves above 5/4.
5/1 is on a list of integer harmonics that approximate closest a given stack of fifths, the error being the syntonic comma.
See also
- Ed5 – equal divisions of the 5th harmonic