Rooted interval: Difference between revisions

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-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 a 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.
+Rooted intervals can be easily generalized to [[nonoctave]] equivalence such as <math>x/3^n</math> if the [[tritave]] is used as an equivalence.
 == See also ==
+* [[Uprooted interval]]
-* [[Uprooted]]
 * [[Otonality and utonality]]
-[[Category:Interval]]
+[[Category:Harmonic]]
+[[Category:Otonality and utonality]]
+[[Category:Psychoacoustics]]