https://sebastianspicker.github.io/tags/beauty-of-physics-mathematics-music/ Recent content in Beauty-of-Physics-Mathematics-Music on Sebastian Spicker https://sebastianspicker.github.io/og-image.png https://sebastianspicker.github.io/og-image.png Hugo -- 0.160.0 en Tue, 13 Oct 2026 00:00:00 +0200 https://sebastianspicker.github.io/posts/nancarrow-irrational-tempo/ Thu, 03 Sep 2026 00:00:00 +0200 https://sebastianspicker.github.io/posts/nancarrow-irrational-tempo/ Nancarrow’s Study No. 33 puts an irrational number between two musical tempos. Exact recurrence disappears in an ideal pulse model, while rational approximations, near-coincidences and composed convergence remain. https://sebastianspicker.github.io/posts/major-third-bell-shape/ Thu, 16 Jul 2026 00:00:00 +0200 https://sebastianspicker.github.io/posts/major-third-bell-shape/ Moving a bell’s tierce from a minor third to a major third required a new profile. The design reveals why an instrument’s partials cannot be adjusted as independent knobs. https://sebastianspicker.github.io/posts/norgard-infinity-series/ Thu, 04 Jun 2026 00:00:00 +0200 https://sebastianspicker.github.io/posts/norgard-infinity-series/ A melody-generating sequence survives systematic thinning as a reflection or a transposition of itself. Its parity is Thue–Morse, but the mathematics still leaves the composer substantial work to do. https://sebastianspicker.github.io/posts/timbre-consonance-spectrum/ Fri, 08 May 2026 00:00:00 +0200 https://sebastianspicker.github.io/posts/timbre-consonance-spectrum/ A frequency ratio describes two notes, but their upper partials determine many of the interactions the ear receives. A worked spectral example, Sethares’s local-consonance model and recent listening experiments show why changing a sound can change which intervals listeners prefer. https://sebastianspicker.github.io/posts/homometric-chords-interval-fingerprint/ Thu, 19 Mar 2026 00:00:00 +0100 https://sebastianspicker.github.io/posts/homometric-chords-interval-fingerprint/ Two different four-note collections contain precisely the same intervals. Their shared mathematics explains an ambiguity in diffraction, but does not make the chords acoustically identical. https://sebastianspicker.github.io/beauty-of-physics-mathematics-music/ Tue, 06 Jan 2026 00:00:00 +0100 https://sebastianspicker.github.io/beauty-of-physics-mathematics-music/ Eight independent investigations of musical objects and mathematical structures: a singing saw, ambiguous interval fingerprints, changing consonance, frozen lakes, recursive melodies, redesigned bells, irrational tempos and music intended for cats. https://sebastianspicker.github.io/posts/singing-saw-curvature-localisation/ Tue, 06 Jan 2026 00:00:00 +0100 https://sebastianspicker.github.io/posts/singing-saw-curvature-localisation/ An S-shaped blade traps a flexural vibration near its inflection point. The explanation connects ordinary shell mechanics to a carefully qualified topological mode.