2024-04-20

Orwell 2-5-1 Cadence


 

The 2-5-1 cadence, transformed into the Orwell tuning, 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 2-5-1 cadence has been transformed into the Orwell tuning by mapping each fifth (meant as a generator) into 5\22 = 272.727 cents, then rearranging the resulting notes in 22edo; 22-edo has been notated by using the customary linear notation.

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