The first Johnson string quartet, premiered by the Brindisi Quartet in 1994. Eight movements, each following a mathematical formula, 20 minutes.

The Combinations for String Quartet were commisioned by MarzMusik in Berlin, for the premier by the Bozzini Quartet in MärzMusik 2004. The music is constructed by systematically taking all the

One of Johnson's most often performed pieces, written for Jon Deak, and also interpreted by Bertram Turetzky, Gary Karr, and many other virtuosos. A classic among bassists. 

Six ways of transforming a melody of two notes into a melody of four notes, eight notes, 16 notes, 32 notes, etc. until you have a piece as long as you like. A rather formidable concentration exercise,

For vibraphone, string quartet, marimba & accordion. Dedicated to the mathematician Leonard Soicher, this piece is based on some of Soicher's designs. The music is in three sections. There is no score,

Predictable music for violin, cello and piano, 15 minutes. Score, including string parts.

Plucking is written for 9 different string instruments. World premiere given on March 26, 2015, during the Microfest concert series at Villa Aurora, Pacific Palisades, CA. Duration about 55

288 three-note chords with sums of 72 (middle C = 24), preferably for violin, viola, violoncello. Score and parts.

How can different rhythmic patterns be combined in such a way that no two patterns ever occur simultaneously and every beat is filled? "Tiling the line" is a subject that Johnson and several mathematicians