Wednesday, September 24, 2008
Interval of the Day: Minor Seventh mapped to the Square-root-of-2
The minor seventh mapped to the Square-root-of-2. An interval that happens to bear more than a passing resemblance to an equal tempered perfect fourth. However, the remapping refers to a context where the square-root-of-2 "tritone" of 600-cents is the interval of harmonic equivalence (a distinction reserved for the octave in the overwhelming majority of the world's music). In this manner, the 500-cent perfect fourth is harmonically equivalent to the 1100-cent major seventh.