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. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[tone]]s ([[9/8]]). 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. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more discordant on its own, 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]] | ||
* [[64:81:96:108]] | * [[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 14:26, 16 April 2025
| 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 discordant on its own, 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