1024/729
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Ratio | 1024/729 |
Factorization | 2^{10} × 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, reduced subharmonic |
Tenney height (log_{2} nd) | 19.5098 |
Weil height (log_{2} max(n, d)) | 20 |
Wilson height (sopfr (nd)) | 38 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.14997 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).