The Euler Variations, by Glenn Sogge

The Euler Variations

by Glenn Sogge

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1.	Four (K)nights On Tour 16:40	info
2.	Long Tales 28:22	info
3.	The Whole Story 19:27	info
4.	Turing's Target 18:15	info

about

Studio welcomes another excellent Glenn Sogge album to the label!
The Euler Variations. A fascinating concept in music creation as it relates to a chessboard, the moving of the Knight to each square on the board one time only, and atonality. Listening will illuminate! Enjoy!

As the artist explains it:

The Knight's Tour is a mathematical problem that has been studied for 1,000 years. Simply stated, the problem is to begin with a single chess knight on an empty board (usually 8x8) and then, following chess rules, move the knight so it visits every square on the board only once.
Leonhard Euler was one of the many mathematicians who studied this fascinating problem that turns out to have connections to Hamiltonian graph theory in addition to providing programming exercises for generations of computer scientists.
The present pieces used a compositional system for pitches using a closed Knight's Tour devised by Euler. (A closed tour is one in which the final position can connect to the beginning one to create a loop.)
For each piece, the notes of a given scale are written onto positions on the board -- repeating and adding rests to fill out the rows and columns as needed. For each voice of a piece, a starting location was chosen by random means plus a direction -- forward or backward -- along the tour.
Each piece was limited to using a single soft synth, sometimes a single preset or designed sound.
The pieces can be taken as explorations into my often uneasy relationship with tonality.

Some Rights Reserved -- CC-BY-SA-NC license

credits

released October 12, 2017

Credits:
Sounds, mixing, and mastering by Glenn Sogge
Cover design by Glenn Sogge

license

some rights reserved

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Studio 4632 Syracuse, New York

Studio 4632 is a net label showcasing an array of electronic ambient music.
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