Daniel Dockery

animî nostrî dêbent interdum âlûcinâri

Home of published musician, recording artist, mathematician, programmer, translator, artist, classicist, and general polymath.
Transcendental (Number) Études, no. I: Euler's γ • Daniel Dockery

Transcendental (Number) Études, no. I: Euler’s γ

July 18th, 2011

Recently encountering the musician Michael John Blake‘s delightful interpretation of the mathematical constant τ (i.e. ) as a work of music (on YouTube) left me wondering what might emerge from other constants. As I understand the same fellow has also done an arrangement of π, I will avoid it, but we’ve endless other options from which to choose.

For my first foray, I’ve settled on Euler‘s γ constant, calculated to 304 places:


0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470
632917467495146314472498070824809605040144865428362241739976449235362535003337429373377376
739427925952582470949160087352039481656708532331517766115286211995015079847937450857057400
299213547861466940296043254215190588

Unlike the piece that inspired this experiment, which was in the key of C major, I have set this in G minor—G for the constant, gamma, and minor simply because it’s what I most commonly work in. If time and inspiration permit, I may attempt to do the same for other constants, and with that in mind I’ve jestingly referred to this as the first in the “Transcendental (Number) Études”, playing off Liszt’s “Transcendental Études” and the transcendental numbers.

Enjoy the first fruits of the new project:

[This piece is not currently available online.]


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Daniel Dockery

animî nostrî dêbent interdum âlûcinâri

Home of published musician, recording artist, mathematician, programmer, translator, artist, classicist, and general polymath.