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## Four Videos

Blurring Shephard A Shephard tune, named after Roger Shephard, is a piece of music with a pitch which seams to endlessly wind up the tone scale. To accomplish that, to each tone of a (small) work many upper and lower octaves get added. The intensity of those added octaves gets lower, the further away they are from the basic tone. The piece gets repeated several times, and each note gets its pitch tunes up in a way, that a single repetition leads to shifting up a halftone. At the same time the octaves above get damped a little and the octaves below get amplified a little. With P the damping factor per octave (the next then P*P, the over-next P*P*P aso.), the factor per half tone reads $$\sqrt[12]{P}$$. That way after twelve repetitions we come exaclty back to the original state.