1024/729

Interval information

Ratio	1024/729
Factorization	210 × 3-6
Monzo	[10 -6⟩
Size in cents	588.27¢
Names	Threerish diminished fifth, Pythagorean narrow tritone, Pythagorean diminished fifth
Color name	sw5, sawa 5th
FJS name	[math]\displaystyle{ \text{d5} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	19.5098
Weil norm (log2 max(n, d))	20
Wilson norm (sopfr(nd))	38
[sound info]
Open this interval in xen-calc

1024/729, the Pythagorean diminished fifth, is the octave complement of the Pythagorean augmented fourth (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

• 2187/2048 – its fifth complement
• Pythagorean tuning
• Gallery of just intervals