81/64: Difference between revisions
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* [[128/81]] — Its [[octave complement]] | * [[128/81]] — Its [[octave complement]] | ||
* [[32/27]] – Its [[fifth complement]] | * [[32/27]] – Its [[fifth complement]] | ||
* [[64:81:96:108]] – A chord where it is the first step | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Pythagorean tuning]] | * [[Pythagorean tuning]] | ||
Revision as of 06:24, 4 December 2024
| Interval information |
ditone
reduced harmonic
[sound info]
The Pythagorean major third, 81/64 may be reached by stacking four perfect fifths (3/2), and reducing by two octaves. It is also known as the ditone, as it may be reached by stacking two (Pythagorean whole) tones (9/8). In contrast to the more typical 5/4—with which it is conflated in meantone—this interval is a bit more dissonant when not bridged by a stack of 3/2 intervals within in a chord, with a harmonic entropy level somewhere between that of 9/8 and that of 8/7. Thus, some would argue that it is functionally an imperfect dissonance.
See also
- 128/81 — Its octave complement
- 32/27 – Its fifth complement
- 64:81:96:108 – A chord where it is the first step
- Gallery of just intervals
- Pythagorean tuning