Diagram coverage
0 source diagrams, tables, maps, and compendia are inventoried. Each entry opens a playable model: lattice, mode, comma, cadence, cyclic sequence, key-chain, or chromatic superimposition.
Read the diagrams by playing them
Explore ratios, lattices, commas, cadences, and chromatic superimpositions as audible objects.
The PDFs in this folder point to two complementary practices: W. A. Mathieu's ratio-centered harmonic maps and David Liebman's chromatic improvisation method. This site turns those maps into clickable instruments.
Make sound
Start audio once, then click tones, ratios, chords, diagrams, cadence steps, and composer cells. The same synth engine is shared across the whole site.
Create
The composer turns selected diagram material into a 16-step sketch. Export a JSON sketch or copy a note/chord sequence for later work.
All non-notation diagram objects found or sampled
Diagram Atlas
The atlas includes the Mathieu book's own most-referenced diagram index plus OCR-sampled chromatic-jazz diagram families from the Liebman PDF. Use the filters, then open any entry to play and transform it.
Single-note lattice control
Melodic Lattice Lab
Use the lattice as a single-note instrument. Cursor and mouse movement select one lattice tone at a time for melodies, scales, and interval paths.
Select a node.
Chordal lattice control
Harmonic Lattice Lab
Use the lattice as a chord instrument. Cursor and mouse movement select a lattice position and sound the chord generated from that location.
Select a node.
Modes as lattice selections
Mode Workshop
Compare church modes, mixed modes, Magic Mode, and chromatic-pair variants as sets selected from the lattice. Clicking a degree plays it; playing a mode traces its tone path.
Functional motion
Cadence and Sequence Lab
Cadences, cyclic sequences, key chains, and the circle of twenty-four keys become editable paths. Change the path, audition it, and send the result to the composer.
Liebman-style chromaticism
Chromatic Jazz Lab
Use superimposition, side-slipping, scale-quality substitution, intervallic denial, tonal anchors, and voicing structures to pull away from and return to a key center.
Make music from the maps
Composer
Build a 16-step sketch from diagrams, modes, cadences, or chromatic lines. Cells can hold single notes, ratio tones, or chords. Playback runs in the browser synth.
Local review notes
Sources and Coverage
This site is grounded in the two PDFs present in the folder on May 11, 2026. The source text is paraphrased and operationalized rather than reproduced.
Harmonic Experience.pdf
Text-native PDF with 582 pages and a detailed outline. The diagram atlas uses the book's own index of most-referenced examples, figures, and tables, including lattices, comma families, cadence models, key-chain diagrams, and cyclic-sequence summaries.
A chromatic approach to jazz harmony and melody.pdf
Image-scanned PDF with 166 pages. OCR samples identified the table of contents, chromatic-superimposition chapters, voicing and line compendia, complex-chord analysis, and practical improvisation devices.
Coverage rule
Staff notation examples are not reproduced. Non-notation diagrams and diagram-like models are represented as interactive systems: rhythm ratios, tone lattices, chord lattices, mode charts, comma maps, cadence paths, key chains, chromatic devices, voicing structures, and line-analysis templates.