September 4, 2026 Roscoe, N. Y. The cover of *Calculating with Tones: The Logarithmic Logic of Music* sparked intrigue, suggesting guitar frets mirror slide rule scales for multiplication.

Published by the Oughtred Society, named for William Oughtred who invented the logarithmic slide rule in 1622, the book explores how logarithmic spacing appears in both music and calculating instruments. The illustration compares the progressive decrease in distance between guitar frets to the marks on a slide rule. While the guitar’s 12th fret divides the string length precisely in half for an octave higher, the author questioned if arbitrary fractional labels between the nut and saddle could truly replicate slide rule mechanics.

The article dissects the mathematical relationship, noting that while logarithmic reduction governs fret placement, the practical application for multiplication remains a subject of debate detailed within the society’s published work.