1024/729

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Interval information
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,
reduced subharmonic
Tenney height (log2 n⋅d) 19.5098
Weil height (max(n, d)) 1024
Benedetti height (n⋅d) 746496
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).

See also