32/21
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| 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, 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 | |
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.