2024-04-29

Orwell Canon 3 in 1 upon a Ground for Baroque Oboe, Viola, Clarinet, and Viola da Gamba


 A 3-in-1 Canon upon a Ground for Baroque Oboe, Viola, Clarinet, and Viola da Gamba, in the Orwell tuning. The tuning is defined by the just perfect twelfth (3/1) being divided into 7 equal steps. One of these steps (as large as 271,71 ¢) represents 7/6; three represent 8/5. Alternately, one third of the «fifth harmonic» 5/1 also makes a good orwell generator, at ~ 12/7 or 928.77 ¢ = 1200 - 271,23 ¢.

Orwell is so named because 19 steps of 84edo, i.e. 19\84, is a possible generator; however, here Orwell has been implemented as 22edo generated by 5\22 = 272.727 cents. The Canon modulates by -1 Orwell (= -5/22 of an Octave) at the end of each of the 22 sections, and eventually comes back to the initial tonality of D.

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