1024/729
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Ratio
1024/729
Factorization
210 × 3-6
Monzo
[10 -6⟩
Size in cents
588.27¢
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 nd)
19.5098
Weil height (log2 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
| Interval information |
Pythagorean diminished fifth
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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).