1024/729

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Interval information
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, 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

[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

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