729/512
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| Interval information |
Pythagorean augmented fourth,
The Tyrant
reduced harmonic
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
[sound info]
729/512, the Pythagorean augmented fourth, may be reached by stacking six perfect fifths (3/2), and reducing by three octaves. While nowadays "tritone" more commonly refers to a broader range of intervals, in Medieval music theory, "tritone" referred more specifically to 729/512, as this is the interval reached by stacking three (Pythagorean whole) tones (9/8). It is separated from the 5-limit interval of 64/45 by the schisma (32805/32768), less than 2 ¢.