729/512

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Revision as of 08:53, 29 December 2020 by Yourmusic Productions (talk | contribs) (Surely this should have Plato's awesome name for this interval listed as well as the drier technical ones.)
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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
The Tyrant
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

[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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