Rooted interval: Difference between revisions

m Updated internal link
Note its psychoacoustic significance
Line 1: Line 1:
A '''rooted interval''' is a [[rational interval]] over an power of 2, i.e. of the form <math>\frac{x}{2^n}</math>.
A '''rooted interval''' is in the context of [[octave equivalence]] a [[rational interval]] over an power of 2, i.e. of the form <math>x/2^n</math> for any positive integer ''x'' and nonnegative integer ''n''.
 
Playing a rooted interval in a harmonic timbre, the [[virtual fundamental]] is of the same pitch as the bass, or whole octaves below the bass. In other words, the virtual fundamental is in the same [[pitch class]] as the bass. This gives rooted intervals the distinct characteristic of securing its own bass than suggesting other pitch classes.  


== See also ==
== See also ==
Line 5: Line 7:
* [[Otonality and utonality]]
* [[Otonality and utonality]]


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