A fixed frequency ratio always yields equal logarithmic distance at any pitch

Evidence

The distance anywhere on a given logarithmic axis that is equivalent to a particular ratio such as 2:1, 3:2, 4:3 and so forth will be the same no matter where on the axis it is measured. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 816

Categorization

• CANDY: A small, tweetable geometric fact about log axes that makes musical interval perception feel crystalline.