The Pythagorean comma The Pythagorean comma demonstrates that our tonal system is not perfectly consistent but has a gap whose form and cause I will describe in this post. The comma is relevant in terms of both ourpythagorean comma musical practice, since it has very specific effects, and of philosophy and science, since it is typical of the problems that we observe in the interplay of our  three worlds (according to Penrose). Thus it is a topic that is not solely relevant to musicians but also to people who are interested in the question as to how mathematics (ideal world),