Tool | Sebastian Spicker

2025

1 article

7 Jul 2025 Star Polygons and Drum Machines The {7/2} heptagram is not only a symbol. It is a traversal algorithm over seven beat positions. Because 7 is prime, that traversal never gets trapped in a sub-orbit. mathematicsgeometrymusic

2024

1 article

15 Jan 2024 The Impossible Heptagon A regular heptagon is not constructible by classical compass and straightedge. That theorem can illuminate seven-fold imagery, but it does not document Danny Carey’s compositional or symbolic intent. mathematicsgeometrygroup-theory

2022

1 article

8 Nov 2022 Spiral Out: Tool’s Lateralus, the Fibonacci Sequence, and the Mathematics of Musical Structure Alongside physics and astronomy, two other things have occupied an unreasonable share of my attention since adolescence: mathematics and music. Lateralus by Tool — released 2001, still in rotation — is the piece that most conspicuously occupies the intersection. The song is frequently analysed through Fibonacci numbers, including reported lyric counts and a 9/8–8/8–7/8 metre grouping. This post separates checked arithmetic from listening analysis and authorial interpretation. musicmathematicsfibonacci