8/1: Difference between revisions

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'''8/1''', the '''8th harmonic''', is the [[harmonic]] past [[7/1]] and before [[9/1]]. It is equal to a stack of three [[octave]]s.
'''8/1''', the '''8th harmonic''', is the [[harmonic]] past [[7/1]] and before [[9/1]]. It is equal to a stack of three [[octave]]s.
== Name ==
Naming this interval is complicated because, analogously with tritave and pentave, the expected derivation would be "octave", but that is already the name for [[2/1]]. Hence, no name of that format is given for 8/1.


== See also ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[Ed8]]
* [[Ed8]]

Revision as of 06:22, 31 January 2025

Interval information
Ratio 8/1
Factorization 23
Monzo [3
Size in cents 3600¢
Names 8th harmonic,
three octaves
Color name c3w1, tricowa unison
FJS name [math]\displaystyle{ \text{P22} }[/math]
Special properties harmonic
Tenney norm (log2 nd) 3
Weil norm (log2 max(n, d)) 6
Wilson norm (sopfr(nd)) 6

[sound info]
Open this interval in xen-calc

8/1, the 8th harmonic, is the harmonic past 7/1 and before 9/1. It is equal to a stack of three octaves.

Name

Naming this interval is complicated because, analogously with tritave and pentave, the expected derivation would be "octave", but that is already the name for 2/1. Hence, no name of that format is given for 8/1.

See also