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Magic Square

Experimental Electronic · Composer

1:08

The magic square

The composition is based on this 4 × 4 magic square. Each row, column, and main diagonal adds up to 34. I used these number patterns to develop the pitches and arrangement.

Original square
163213
510118
96712
415141
MIDI note numbers
52393849
41464744
45424348
40515037

From numbers to music

I composed Magic Square in Ableton Live with sounds from Omnisphere. Different patterns in the square supplied material for the instrumental tracks: rows and columns for the background texture, diagonals for melodic movement, and smaller squares for percussion and fills.

To turn the numbers into pitches, I added 36 to each value and used the results as MIDI note numbers. This moved the notes into a higher register while keeping the intervals between them unchanged.

Building the arrangement

LayerUse of the matrix
DrumsThe kick outlines the structure; tom pitches follow square patterns.
Texture and soundscapeRow and column patterns form the background texture.
Granular synthesizerDiagonal patterns guide the melodic and granular parts, with square patterns used for fills.
EffectsCorner values determine selected effects parameters.

Phrases 3 and 4 reverse material from Phrases 1 and 2, following the symmetry and rotation of the arrays. The later phrases return to the same notes in a different order.

Sound design

The soundscape combines sustained textures, percussion, and granular sounds. Omnisphere provided the source sounds, which I arranged and processed in Ableton Live.

Some of the numbers also became effects settings. In FabFilter Saturn, I used a 160 Hz crossover, 13% mix, 4% drive on the second band, and a level of +1 dB. This carried the matrix into the processing as well as the notes.