32/21
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Ratio | 32/21 |
Factorization | 2^{5} × 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, reduced subharmonic |
Tenney height (log_{2} nd) | 9.39232 |
Weil height (log_{2} 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.