Uprooted interval: Difference between revisions

Cmloegcmluin (talk | contribs)
Created page with "An '''uprooted''' interval is any rational interval under an power of 2, i.e. of the form <span><math>\frac{2^n}{x}</math></span>. == See also == * Rooted * Otonality..."
 
Note its (possible) psychoacoustic significance
 
(2 intermediate revisions by one other user not shown)
Line 1: Line 1:
An '''uprooted''' interval is any rational interval under an power of 2, i.e. of the form <span><math>\frac{2^n}{x}</math></span>.
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 ==
* [[Rooted interval]]
* [[Otonality and utonality]]


* [[Rooted]]
[[Category:Subharmonic]]
* [[Otonality and utonality]]
[[Category:Otonality and utonality]]
[[Category:Psychoacoustics]]