729/512: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = (Pythagorean) tritone, Pythagorean augmented fourth, The Tyrant | |||
| Color name = Lw4, lawa 4th | |||
| Name = Pythagorean tritone, | |||
| Color name = Lw4, | |||
| Sound = Ji-729-512-csound-foscil-220hz.mp3 | | Sound = Ji-729-512-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''729/512''', the '''Pythagorean augmented fourth''', may be reached by stacking six perfect fifths ([[3/2]]), and [[octave reduction|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) [[tone]]s ([[9/8]]). It is separated from the 5-limit interval of [[64/45]] by the schisma ([[32805/32768]]), less than 2{{cent}}. | |||
== See also == | == See also == | ||
* [[Tritone]] | |||
* [[1024/729]] – its [[octave complement]] | * [[1024/729]] – its [[octave complement]] | ||
* [[256/243]] – its [[fifth complement]] | * [[256/243]] – its [[fifth complement]] | ||
| Line 20: | Line 13: | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Tritone]] | [[Category:Tritone]] | ||
Latest revision as of 21:30, 23 June 2024
| Interval information |
Pythagorean augmented fourth,
The Tyrant
reduced harmonic
[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 ¢.