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Fokker periodicity blocks corresponding to blackjack and canasta

🔗paul@stretch-music.com

6/8/2001 3:48:42 PM

When I plug the set of unison vectors

35:36
224:225
2400:2401

into my Fokker periodicity block program, I get:

cents numerator denominator
0 1 1
35.697 49 48
119.44 15 14
147.43 49 45
231.17 8 7
266.87 7 6
350.62 60 49
386.31 5 4
463.07 98 75
498.04 4 3
582.51 7 5
617.49 10 7
701.96 3 2
736.93 75 49
813.69 8 5
849.38 49 30
933.13 12 7
968.83 7 4
1052.6 90 49
1080.6 28 15
1164.3 96 49

Clearly there are a lot of "broken" consonances here. Tempering out the 224:225 and 2400:2401 would convert this into the blackjack scale as we've presented and latticed it.

So this supports my Hypothesis.

Here are the step sizes:

cents numerator denominator
35.697 49 48
83.746 360 343
27.985 686 675
83.746 360 343
35.697 49 48
83.746 360 343
35.697 49 48
76.756 392 375
34.976 50 49
84.467 21 20
34.976 50 49
84.467 21 20
34.976 50 49
76.756 392 375
35.697 49 48
83.746 360 343
35.697 49 48
83.746 360 343
27.985 686 675
83.746 360 343
35.697 49 48