Toussaint Trio : Euclidean Drum Experiment

The result of two days of fussing with Euclidean Sequencers
https://patchstorage.com/toussaint-trio/

The following Euclidean rhythms are Euclidean strings:
E(2,5)=[x . x . .] = (23) (classical, jazz, and Persian).
E(3,7)=[x . x . x . .] = (223) (Bulgarian folk).
E(4,9) = [x . x . x . x . .] = (2223) (Turkey).
E(5,11)=[x . x . x . x . x . .] = (22223) (classical).
E(5,16) = [x . . x . . x . . x . . x . . . .] = (33334) (Brazilian necklace).
The following Euclidean rhythms are reverse Euclidean strings:
E(2,3) = [x . x] = (21) (West Africa, Latin America). E(3,4)=[x . x x] = (211) (Trinidad, Persia).
E(3,5)=[x . x . x] = (221) (Rumanian and Persian necklaces). E(3,8)=[x . . x . . x .] = (332) (West Africa).
E(4,7)=[x . x . x . x] = (2221) (Bulgaria).
E(4,11) = [x . . x . . x . . x .] = (3332) (Frank Zappa).
E(5,6)=[x . x x x x] = (21111) (Arab).
E(5,7)=[x . x x . x x] = (21211) (Arab).
E(5,9)=[x . x . x . x . x] = (22221) (Arab rhythm, South African and Rumanian necklaces). E(5,12) = [x . . x . x . . x . x .] = (32322) (South Africa).
E(7,8) = [x . x x x x x x] = (2111111) (Tuareg rhythm of Libya).
E(7,16) = [x . . x . x . x . . x . x . x .] = (3223222) (Brazilian necklace).
E(11,24) = [x . . x . x . x . x . x . . x . x . x . x . x .] = (32222322222) (Central Africa).
The following Euclidean rhythms are neither Euclidean nor reverse Euclidean strings:
E(5,8)=[x . x x . x x .] = (21212) (West Africa).
E(7,12) = [x . x x . x . x x . x .] = (2122122) (West Africa).
E(9,16) = [x . x x . x . x . x x . x . x .] = (212221222) (West and Central African, and Brazilian necklaces). E(13,24) = [x . x x . x . x . x . x . x x . x . x . x . x .] = (2122222122222) (Central African necklace).

1 Like

This sounds promising!

Cool! WONDEROUS!

There are 6 Euclid numbers on pages 7 and 8. Is it the case that ‘Euclid1’ and Euclid2’ are the controls for Drum 1?

So turning ‘Euclid1 --> 2’ and ‘Euclid2 --> 5’ will be a (2,3) rhythm for Drum 1, and then you can do likewise for the other two Drums?

each drum gets two euclid numbers if that’s what you mean yes.

yes! i meant that thing you said there!

Looking forward to trying this one.

http://cgm.cs.mcgill.ca/~godfried/publications/banff.pdf

i think this is interesting and where i got the initial idea from.
I have one that is a modification of an OLD patch that uses euclidean maths as well i am going to see if i can link them as Toussaint Deluxe Platter. The difference will be that the Deluxe Platter comes with Lettuce tomato and onion and a side of fries plus a pickle while the regular the fries are extra no pickle.