This book discusses microtonal tunings in the Arabic maqam, prevalent in the Middle East and Central Asia, which employs microtonal intervals from Pythagorean tuning by perfect fifths. The ratio 3/2, as the third overtone in the overtone series, is used as a multiplier leading to numeric ratios for all pitches in the tetrachords and pentachords of the maqam. Musicians today are highly curious about expanding the pitch palette and are already employing microtones in their music, from folk r...

This book introduces polytempic polymicrotonality as a new musical aesthetic. It proposes music with more than one microtonal tuning system and discusses examples from the literature to give an historic framework showing that this tendency has been present throughout human musical history. Polytempo is a tool for which polymicrotonal structures can function in relief from its background, and it acts as a frame, or ground structure, that is multidimensional, akin to the advancement of persp...