Rooted interval: Difference between revisions
Note its psychoacoustic significance |
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A '''rooted interval''' is in the context of [[octave equivalence]] a [[rational interval]] over | 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. | 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 == | == See also == | ||
* [[Uprooted interval]] | * [[Uprooted interval]] | ||