Quarter-Tone Dissertation

Example 1.18

Alois Hába, Suite für vier Posaunen im Vierteltonsystem, Mvt. V, Allegro risoluto, mm. 1-3,

There is a note mistake in the third trombone and the audio reflects this mistake.

In my dissertation, I used this short passage to demonstrate T-operators, which are a fancy way of describing transpositions. You can see the lower three voices moving in parallel motion, spelling out a succession of major triads in identical voicing. We can describe each successive triad as a transposition of the one that comes before it. For more detail about T-operators and how they work in a mod-24 pitch space, I would recommend the full text of Chapter 1.

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