Exploring Logarithms: Connections Between Mathematics, Music, and Information Theory
By
Alex Kritchevsky
Summary
An exploratory mathematical essay that examines logarithms from multiple perspectives, connecting them to units of measurement, information theory, musical scales, and other domains. The author explores the idea that logarithms are fundamentally about converting multiplicative relationships into additive ones, drawing connections between seemingly disparate fields like acoustics, computer science, and physics. The piece is presented as a collection of observations and connections the author found interesting, rather than a formal mathematical treatise.
Source
Hacker NewsExploring Logarithms: Connections Between Mathematics, Music, and Information Theoryalexkritchevsky.comKey quotes
· 3 pulledOne way of thinking about what this formula does is that it is a change of units.
Some connections between things, which I have not seen elsewhere. Maybe they mean something?
Normally one writes a logarithm with a base, \(\log_b (x)\), to mean \(y = \log_b (x) \Lra b^y = x\)
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