729/512

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Revision as of 05:24, 3 March 2019 by Xenllium (talk | contribs) (Created page with "{{Infobox Interval | Icon = | Ratio = 729/512 | Monzo = -9 6 | Cents = 611.73001 | Name = Pythagorean tritone <br>Pythagorean augmented fourth | Color name = Lw4, large wa 4t...")
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Interval information
Ratio 729/512
Factorization 2-9 × 36
Monzo [-9 6⟩
Size in cents 611.73¢
Name Pythagorean tritone
Pythagorean augmented fourth
Color name Lw4, large wa 4th
FJS name [math]\displaystyle{ \text{A4} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 18.5098
Weil height (log2 max(n, d)) 19.0196
Wilson height (sopfr(nd)) 36
File:Jid 729 512 pluck adu dr220.mp3
[sound info]
Open this interval in xen-calc

The Pythagorean augmented fourth, 729/512, may be reached by stacking six perfect fifths (3/2), and reducing by three octaves. It is separated from the 5-limit interval of 64/45 by the schisma, 32805/32768 (less than 2 cents).

See also

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