1024/729

Interval information

Ratio	1024/729
Factorization	210 × 3-6
Monzo	[10 -6⟩
Size in cents	588.27¢
Name	Pythagorean narrow tritone Pythagorean diminished fifth
Color name	sw5, small wa 5th
FJS name	[math]\displaystyle{ \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
File:Jid 1024 729 pluck adu dr220.mp3 [sound info]
Open this interval in xen-calc

The Pythagorean diminished fifth, 1024/729, 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, 32805/32768 (less than 2 cents).

See also

• 729/512 - its inversion
• Pythagorean tuning
• Gallery of just intervals