Tibia (Paul Erlich) visualized with 11 lattices in 22edo
For Pärnu 2022, created by Paul Erlich (composer, piece written in 1996), Joe Monzo (lattice work, entering transcription into MIDI), Kite Giedraitis (transcription) and myself (video/audio synchronization).
In the 2 center frames of the 12 frames are the Tonescape Pitch-Height window (labeled “Piano Roll“) on the left and the 5-limit toroidal lattice on the right. The other 10 frames are all 7-limit lattices in triangular geometry, of a periodicity-block with unison-vectors 245:243, 225:224, and 64:63, which are also 3 commas tempered out, forming 22edo tuning. The notation on the lattices shows the degrees of 22edo for each pitch. The pitch labeled “0“ in each frame corresponds to the note name given therein, e.g., F♯, C♯, G♯, etc. Notice that D♭ is a half-octave away from F♯ in 22edo chain-of-fifths notation.
The toroidal lattice (center right) has some small bugs and missing rungs, but is mostly correct.
Here’s Paul’s pap
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Tibia (Paul Erlich) visualized with 11 lattices in 22edo
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