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About the project

Photo: Kerstin Schomburg

I'm a composer and lecturer at the University of Leeds, UK. As part of our undergraduate composition teaching we introduce various flexible generative techniques, and an expectation that students write a commentary that outlines their compositional process. To give the students another example of how this can be done, I've decided to compose a piece [jump to final piece] for the student new-music ensemble that explores several of these techniques; to augment existing examples, and give a more first-person account of using them. This blog follows my process as I compose using some techniques that I've taught often but wouldn't normally used myself: see here for examples of what I do usually.

[Impatient? go straight to the finished score, or watch the video]

Here's what I begin with:
  • the ensemble is unusual to say the least, but I like a challenge!
    • 3 fl, 2 cl,  sax, tpt, cornet, euphonium, perc, piano, guitar, cello
  • Rehearsals begin in February 2018 with performance in April.
  • Techniques I'll use include:
    • Peter Maxwell Davies' magic squares
    • Xenakis' 3D hypercube rotations; and other permutation approaches such as isorhythm 
    • canonic imitation
    • random-number mapping
    • non-standard instrumental techniques
    • open-form and non-metric notations
Because the student commentaries are only 1000wds, they need to ensure that the commentary only 'comments' on the process, and use appendices for any lengthy descriptions of techniques etc. My posts are often longer than 1000wds in themselves so I'll try to finish with a recap of the key commentary points.

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Opening Section + Magic Squares

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Magic Squares

--> I took my original 5-note sequence (E, G#, D, F#, A#) and extended it into a 6x6 magic square following Maxwell Davies' approach of (a) ensuring the sequence goes out of phase from line to line (because sequence of 5 pitches along lines 6 units long), and (b) transposing each subsequent sequence. The transpositions aren't always the same, because I was getting repetitions; because going up in minor-3rds ends up in the same place after four cycles (12 chromatics divided by 3 semitones = 4), so after the 4th cycle (when it should return to E) I transposed up a further semitone to push the whole cycle of four sequences a semitone higher than the first four. The square is (mostly) transposed by minor 3rds because the original 5-note sequence is whole-tone (the two possible whole-tone sets are six notes each), so minor 3rds give pitches not in the original whole-tone set. [commentary point] This solves the whole-tone problem of only having six notes to work with (