729/512
(Redirected from Pythagorean augmented fourth)
Jump to navigation
Jump to search
| Interval information |
Pythagorean augmented fourth,
The Tyrant
reduced harmonic
(Shannon, [math]\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 ¢.