The Pythagorean comma requires redistribution across fifths for multi-key tuning

Evidence

In order to tune a musical instrument for practical purposes to enable it to be played in a number of different keys, the Pythagorean comma has to be distributed among some of the fifths in the circle of fifths such that the note reached after 12 FIGURE 3. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1037

Categorization

• DEFINE: Introduces the Pythagorean comma as the discrepancy that forces tuning compromises in the circle of fifths.