1024/729

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Revision as of 07:10, 6 March 2019 by Xenllium (talk | contribs) (Created page with "{{Infobox Interval | Icon = | Ratio = 1024/729 | Monzo = 10 -6 | Cents = 588.26999 | Name = Pythagorean narrow tritone <br>Pythagorean diminished fifth | Color name = sw5, sm...")
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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

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