7/1: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = 7th harmonic
| Name = 7th harmonic, septuple
| Color name = ccz7, cocozo 7th
| Color name = ccz7, cocozo 7th
| Sound = jid_7_1_pluck_adu_dr110.mp3
| Sound = jid_7_1_pluck_adu_dr110.mp3
}}
}}
'''7/1''', the '''7th harmonic''', is the [[harmonic]] past [[6/1]] and before [[8/1]]. It is two [[octave]]s above [[7/4]].
'''7/1''', the '''7th harmonic''' or '''septuple''', is the [[harmonic]] past [[6/1]] and before [[8/1]]. It is two [[octave]]s above [[7/4]], and is the basis of [[7-limit]] harmony, as many 7-limit intervals can be expressed as the difference between this and another harmonic.  


== See also ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[Ed7]] – equal division of the 7th harmonic
* [[Ed7]] – equal division of the 7th harmonic
{{stub}}

Latest revision as of 10:49, 2 April 2025

Interval information
Ratio 7/1
Factorization 7
Monzo [0 0 0 1
Size in cents 3368.826¢
Names 7th harmonic,
septuple
Color name ccz7, cocozo 7th
FJS name [math]\displaystyle{ \text{m21}^{7} }[/math]
Special properties harmonic,
prime harmonic
Tenney height (log2 nd) 2.80735
Weil height (log2 max(n, d)) 5.61471
Wilson height (sopfr(nd)) 7

[sound info]
Open this interval in xen-calc

7/1, the 7th harmonic or septuple, is the harmonic past 6/1 and before 8/1. It is two octaves above 7/4, and is the basis of 7-limit harmony, as many 7-limit intervals can be expressed as the difference between this and another harmonic.

See also