Logarithmic plotting makes the perfect fifth geometrically clumsy

Evidence

We have made the case that the natural way to plot musical scales is logarithmically. The distance around the circumference of the circle of fifths is a logarithmic measure. That is why the perfect fifth actually leads to a clumsy progression around the circle expressed in degrees or radians: a bounce angle of 15.29325 degrees. So all that Pythagorean beauty of the rational ratio 3/2 on linear plots is rather ugly on the logarithmic plots. — Eric J. Heller, Why You Hear What You Hear- An…, 2396

Categorization

  • XREF: Reverses the book’s earlier praise of the rational 3/2 ratio; the beauty of Pythagorean tuning is an artifact of linear plotting.