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Melancholia

for text, image, and electronic sound on video

by Reginald Bain


Melancholia (2024) is a multimedia composition for text, image, and electronic sound on video. It was inspired by a Bridges 2015 conference talk I attended in Baltimore by the English number theorist John Horton Conway (1937-2020). In the talk, Conway discussed Dürer's magic square; a 4-by-4 magic square with many special properties, whose earliest known source is the German artist Albrecht Dürer’s engraving Melencolia I (1514). To bring the engraving’s main character to life, I adapted a poem by the English poet, composer, and physician Thomas Campion (1567-1620) titled Integer Vitae. The realization of the poem in the audio domain utilizes Max-based sampling, granular synthesis, pitch shifting, and time-stretching techniques. The electronic music is based on sonifications of Dürer's magic square; i.e., it interweaves equal tempered and just mappings of the magic square's rows, columns, quadrants, and other symmetries into the pitch domain using natural sound samples suggested by the image and poem which are fused by mutual analogy in the video using rhythmic proportions derived from the Fibonacci sequence.

D U R A T I O N 16:28

Albrecht Dürer, Melencolia I (1514)

Dürer, Melencolia I
Credit:  Wikipedia

Dürer's Magic Square

16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 11


Fibonacci sequence
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...


The world premiere of Melancholia took place at the USC Computer Music Concert, University of South Carolina, School of Music, Recital Hall, (Columbia, SC) on April 4, 2024.



You can learn more about Dürer's engraving on the National Gallery of Art's website:
https://www.nga.gov/collection/highlights/durer-melencolia.html

You can learn more about the special properties of Dürer's magic square at:
https://mathworld.wolfram.com/DuerersMagicSquare.html

You can learn more about Thomas Campion's poetry on the Poetry Foundation's website:
https://www.poetryfoundation.org/poets/thomas-campion


Links

Campion, Integer Vitae – https://englishverse.com/poems/integer_vitae
Cycling '74, Max – https://cycling74.com/products/max
Foderaro, "Granular Synthesizer," in Amazing Max Stuff: Music and Visuals in Max/MSP – https://www.youtube.com/playlist?list=PLRc5WfOZXC4kHmNVubXnEhyhdH42_rW-P
Weisstein, "Dürer's Magic Square," from MathWorld--A Wolfram Web Resource – https://mathworld.wolfram.com/DuerersMagicSquare.html
Wikipedia, John Horton Conway – https://en.wikipedia.org/wiki/John_Horton_Conway
Wikipedia, Albrecht Dürer, Melencolia I – https://en.wikipedia.org/wiki/Melencolia_I
Wikipedia, Fibonacci sequence – https://en.wikipedia.org/wiki/Fibonacci_sequence
Wikipedia, Magic square – https://en.wikipedia.org/wiki/Magic_square
Wikipedia, Thomas Campion (1567-1620) – https://en.wikipedia.org/wiki/Thomas_Campion


Updated: August 17, 2024