5/1: Difference between revisions

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'''5/1''' is the 5th [[harmonic]], or the '''pentave'''; two octaves above [[5/4|5/4]].
'''5/1''', the '''5th harmonic''', or the '''pentave''', is the [[harmonic]] past [[4/1]] and before [[6/1]]. It is two [[octave]]s above [[5/4]].


5/1 is on a list of integer harmonics that approximate closest a given stack of fifths, the error being the [[81/80|syntonic comma]].
5/1 is on a list of integer harmonics that approximate closest a given stack of fifths, the error being the [[81/80|syntonic comma]].


== See also ==
== See also ==
* [[ED5]] (equal divisions of the pentave)
* [[Ed5]] equal divisions of the 5th harmonic


== References ==
== References ==
* [[oeis:A081464]]
* {{OEIS|A081464}}

Revision as of 15:34, 30 November 2024

Interval information
Ratio 5/1
Factorization 5
Monzo [0 0 1
Size in cents 2786.314¢
Names 5th harmonic,
pentave
Color name ccy3, cocoyo 3rd
FJS name [math]\displaystyle{ \text{M17}^{5} }[/math]
Special properties harmonic,
prime harmonic
Tenney norm (log2 nd) 2.32193
Weil norm (log2 max(n, d)) 4.64386
Wilson norm (sopfr(nd)) 5

[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