The circle of fifths leap of 210.587 degrees is a 149.413-degree clockwise step
Evidence
A slight adjustment of that angle at each bounce would allow it to close neatly at the last step from F to C. As mentioned earlier, using perfect fifths, a dot traveling around the circle travels counterclockwise about 210.587 degrees from bounce to bounce, which took it from C to G in the first step. Another 210.587 degrees landed it at D. Since 210.587 is greater than halfway around — that is, greater than π or 180 degrees, but less than 2π or 360 degrees— the counterclockwise progress along the circle is equivalent to a clockwise progression of 360 – 210.587 = 149.413 degrees. — Eric J. Heller, Why You Hear What You Hear- An…, 2394
Categorization
- DEFINE: Precisely quantifies the geometric reason the Pythagorean comma arises when cycling through perfect fifths.