32/21

Interval information

Ratio	32/21
Factorization	25 × 3-1 × 7-1
Monzo	[5 -1 0 -1⟩
Size in cents	729.2191¢
Names	septimal superfifth, wide fifth, octave-reduced 21st subharmonic
Color name	r5, ru 5th
FJS name	[math]\displaystyle{ \text{P5}_{7} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	9.39232
Weil norm (log2 max(n, d))	10
Wilson norm (sopfr(nd))	20
[sound info]
Open this interval in xen-calc

32/21, the septimal superfifth, is the interval between 9/8 and 12/7. It is 64/63 sharp of 3/2, and so is equated to 3/2 in temperaments such as pajara, superpyth or augene which tempers out 64/63.

In septimal meantone, this interval is represented by the diminished sixth.

See also

• Gallery of just intervals
• 21/16 its inverse interval