1024/729
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| Ratio | 1024/729 |
| Factorization | 210 × 3-6 |
| Monzo | [10 -6⟩ |
| Size in cents | 588.26999¢ |
| Names | Pythagorean narrow tritone, Pythagorean diminished fifth |
| Color name | sw5, sawa 5th |
| FJS name | [math]\text{d5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 19.5098 |
| Weil height (log2 max(n, d)) | 20 |
| Wilson height (sopfr (nd)) | 38 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.53116 bits |
[sound info] | |
| open this interval in xen-calc | |
1024/729, the Pythagorean diminished fifth, is the octave complement of the Pythagorean tritone (729/512). It may be reached by stacking six perfect fourths (4/3), and reducing by two octaves, it is separated from the 5-limit interval of 45/32 by the schisma (less than 2 cents).