Benedetti’s Puzzle (mathematically impossible music)

Italian mathematician Giovanni Battista Benedetti wrote several letter to the composer Cipriano de Rore, the contents of which contained several puzzles that demonstrate the issues of tuning music to pure intervals. “Comma Pump,” the the phenomenon that Benedetti describes. What is it? And why should we care?? Just Intonation in Renaissance Theory & Practice, Introduction Pitch Drift in Choral Music ~hiroko/pitchdrift/ Os justi - The mouth of the righteous - A Bruckner - 2015 Schoenberg on Comma Pumps Benedetti: example for comma pump in a letter to Cipriano de Rore Cipriano de Rore, Giovanni Battista Benedetti, and the Just Tuning Conundrum Ross w. D