Rooted interval: Difference between revisions
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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. | ||
Revision as of 08:24, 20 September 2023
A rooted interval is in the context of octave equivalence a rational interval over a power of 2, i.e. of the form [math]\displaystyle{ 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.