Uprooted interval: Difference between revisions

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m Fredg999 moved page Uprooted to Uprooted interval: WP:NC#Use nouns
Note its (possible) psychoacoustic significance
 
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An '''uprooted interval''' is a [[rational interval]] under an power of 2, i.e. of the form <math>\frac{2^n}{x}</math>.
An '''uprooted interval''' is in the context of [[octave equivalence]] a [[rational interval]] under a power of 2, i.e. of the form <math>2^n/x</math> for any positive integer ''x'' and nonnegative integer ''n''.
 
Analysing an uprooted interval requires us to think in terms of subharmonic timbre, where the [[virtual fundamental]] would be of the same pitch as the treble, or whole octaves above the treble. In other words, the virtual fundamental would be in the same [[pitch class]] as the treble. This gives uprooted intervals the distinct characteristic of securing its own treble than suggesting other pitch classes.  


== See also ==
== See also ==
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* [[Otonality and utonality]]
* [[Otonality and utonality]]


[[Category:Interval]]
[[Category:Subharmonic]]
[[Category:Otonality and utonality]]
[[Category:Psychoacoustics]]

Latest revision as of 08:23, 20 September 2023

An uprooted interval is in the context of octave equivalence a rational interval under a power of 2, i.e. of the form [math]\displaystyle{ 2^n/x }[/math] for any positive integer x and nonnegative integer n.

Analysing an uprooted interval requires us to think in terms of subharmonic timbre, where the virtual fundamental would be of the same pitch as the treble, or whole octaves above the treble. In other words, the virtual fundamental would be in the same pitch class as the treble. This gives uprooted intervals the distinct characteristic of securing its own treble than suggesting other pitch classes.

See also