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Interval information
Ratio 32/21
Factorization 25 × 3-1 × 7-1
Monzo [5 -1 0 -1
Size in cents 729.21909¢
Names septimal superfifth,
wide fifth,
octave-reduced 21st subharmonic
Color name r5, ru 5th
FJS name [math]\text{P5}_{7}[/math]
Special properties reduced
Tenney height (log2 nd) 9.39232
Weil height (log2 max(n, d)) 10
Wilson height (sopfr (nd)) 20
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.30841 bits

[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