Proportions and Their Music: What Fractions and Tone Sequences Have to Do with Each Other

Sounds can be harmonic, number sequences too - a coincidence?

This book deals with a musical theory of proportions, i.e. the ancient doctrine of proportions as the oldest and most important common anchorage of the two cultural sciences mathematics and music.

The musical theory of tones, intervals, tetrachords, sounds and scales is in fact the exact musical image of the laws of arithmetic and its symmetries in the set of rules of playing with numbers, their proportions and their medievals. Alo...