32/21
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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]\text{P5}_{7}[/math]
Special properties
reduced,
reduced subharmonic
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
| Interval information |
wide fifth,
octave-reduced 21st subharmonic
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.