7/1

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 norm (log2 nd)	2.80735
Weil norm (log2 max(n, d))	5.61471
Wilson norm (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.

7/1 is the fourth prime harmonic, after 5/1 and before 11/1. Many people consider it the first prime harmonic to be truly "xenharmonic", as it creates new interval categories not found in 12edo.

See also

• Gallery of just intervals
• Ed7 – equal division of the 7th harmonic