From Xenharmonic Wiki
Jump to navigation Jump to search
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
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).

See also