5/1

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Interval information
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

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

References