4096/2187
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| Ratio | 4096/2187 |
| Factorization | 212 × 3-7 |
| Monzo | [12 -7⟩ |
| Size in cents | 1086.315¢ |
| Name | Pythagorean diminished octave |
| Color name | sw8, sawa 8ve |
| FJS name | [math]\text{d8}[/math] |
| Special properties | reduced, reduced subharmonic |
| Tenney height (log2 nd) | 23.0947 |
| Weil height (log2 max(n, d)) | 24 |
| Wilson height (sopfr (nd)) | 45 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.22567 bits |
| open this interval in xen-calc | |
4096/2187, the Pythagorean diminished octave is the interval formed by subtracting 2187/2048, the apotome, from the octave. It differs from 15/8 by the schisma.