VisuApps
Grasp tuning systems, intervals and microintervals visually
Apps
In the Tonnetz related chords are neighbours. A Bach chorale plays and its path draws a glowing trail through the lattice — small steps in the cadence, a visible leap at the modulation. P, L and R moves to try out.
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Four pure fifths vs. one pure third on the frequency spiral — the 21.5-cent gap becomes visible and audible.
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A conductor's hand with a baton beats 2/4, 3/4, 4/4 and 6/8 while the tip draws a glowing trail in space. The downbeat always comes from above and the baton rebounds from the beat plane, with the melodies of well-known songs lighting up in time. Cue, fermata, cut-off, dynamics and articulation show how the hand shapes music.
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Euler's tone network as a 3D spiral — chords as triangles, cadences as paths, Coltrane changes audible.
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