81/64: Difference between revisions
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{{Wikipedia|Ditone}} | {{Wikipedia|Ditone}} | ||
The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. In contrast to the more typical [[5/4]] | The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. In contrast to the more typical [[5/4]]{{mdash}}with which it is conflated in [[meantone]]{{mdash}}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 == | == See also == | ||
* [[128/81]] – | * [[128/81]] – Its [[octave complement]] | ||
* [[32/27]] – | * [[32/27]] – Its [[fifth complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Pythagorean tuning]] | * [[Pythagorean tuning]] | ||
Revision as of 13:34, 23 May 2024
| Interval information |
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. In contrast to the more typical 5/4Template:Mdashwith which it is conflated in meantoneTemplate:Mdashthis 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.