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Polyrhythmic Juggling Siteswaps! 

James Cozens Juggling
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This video explores taking polyrhythmic equivalents of the siteswap "97531", cycling through some common polyrhythms, visualised using a custom animator designed in python! This is achieved by assigning each hand one of the polyrhythmic divisions and each catch to one of the polyrhythmic beats. The resulting beat lengths are thus irregular, resulting in variable heights regardless of the siteswap value. Likewise, given the synchronicity of the hand throw rates, some odd valued siteswaps actually return to the same hand, and vice versa. Furthermore, if the sum of the polyrhythmic integers is odd, then an odd period siteswap actually becomes one-sided! (like in the 3:2 case here). What’s really interesting as well is, given the asymmetry of the throws, any Siteswap period which is not equal to the sum of the polyrhythm integers (which is the case for several examples here), then the pattern has to cycle through every possible permutation until it reaches the lowest common multiple of the siteswap period and the sum of the polyrhythm integer.
00:02 3:2
00:15 4:3
00:32 5:4
00:48 5:3
01:03 7:5
Full Synchronous Siteswaps for 97531:
3:2 | (ix,kx)(0,0)(c,0)(0,6x)(4x,0)(0,0)
4:3 | (o,ux)(0,0)(0,0)(ix,0)(0,ax)(0,0)(4x,0)(0,0)(0,w)(o,0)(0,0)(0,0)(c,g)(0,0)(0,0)(2x,0)(0,w)(0,0)(o,0)(0,0)(0,g)(c,0)(0,0)(0,0)(wx,0x)(0,0)(0,0)(o,0)(0,gx)(0,0)(cx,0)(0,0)(0,2x)(u,0)(0,0)(0,0)(i,o)(0,0)(0,0)(ax,0)(0,4x)(0,0)(u,0)(0,0)(0,o)(i,0)(0,0)(0,0)(6,8)(0,0)(0,0)(u,0)(0,o)(0,0)(i,0)(0,0)(0,8x)(6x,0)(0,0)(0,0)
5:4 | (w,E)(0,0)(0,0)(0,0)(mx,0)(0,ex)(0,0)(0,0)(4x,0)(0,0)(0,E)(0,0)(w,0)(0,0)(0,0)(0,k)(g,0)(0,0)(0,0)(0,0)(E,0x)(0,0)(0,0)(0,0)(wx,0)(0,mx)(0,0)(0,0)(ex,0)(0,0)(0,4x)(0,0)(E,0)(0,0)(0,0)(0,u)(o,0)(0,0)(0,0)(0,0)(8,a)(0,0)(0,0)(0,0)(E,0)(0,ux)(0,0)(0,0)(ox,0)(0,0)(0,cx)(0,0)(6x,0)(0,0)(0,0)(0,E)(w,0)(0,0)(0,0)(0,0)(g,k)(0,0)(0,0)(0,0)(2x,0)(0,E)(0,0)(0,0)(w,0)(0,0)(0,kx)(0,0)(gx,0)(0,0)(0,0)(0,2x)(E,0)(0,0)(0,0)(0,0)(o,u)(0,0)(0,0)(0,0)(cx,0)(0,6x)(0,0)(0,0)(E,0)(0,0)(0,u)(0,0)(o,0)(0,0)(0,0)(0,ax)(8x,0)(0,0)(0,0)(0,0)
5:3 | (ux,ux)(0,0)(0,0)(i,0)(0,0)(0,a)(6,0)(0,0)(0,0)(wx,0)(0,sx)(0,0)(i,0)(0,0)(0,0)(6,a)(0,0)(0,0)(yx,0)(0,0)(0,qx)(i,0)(0,0)(0,0)(cx,0)(0,4x)(0,0)(Ax,0)(0,0)(0,0)(kx,ox)(0,0)(0,0)(c,0)(0,0)(0,2x)(A,0)(0,0)(0,0)(o,0)(0,k)(0,0)(c,0)(0,0)(0,0)(A,0x)(0,0)(0,0)(o,0)(0,0)(0,k)(c,0)(0,0)(0,0)(2x,0)(0,yx)(0,0)(qx,0)(0,0)(0,0)(c,ix)(0,0)(0,0)(4x,0)(0,0)(0,wx)(sx,0)(0,0)(0,0)(i,0)(0,ax)(0,0)(6x,0)(0,0)(0,0)
7:5 | (Gx,Ox)(0,0)(0,0)(0,0)(0,0)(u,0)(0,0)(0,gx)(0,0)(0,0)(8x,0)(0,0)(0,0)(0,0)(0,Qx)(E,0)(0,0)(0,0)(0,0)(0,0)(ux,0)(0,ix)(0,0)(0,0)(0,0)(6x,0)(0,0)(0,0)(0,Sx)(0,0)(E,0)(0,0)(0,0)(0,0)(0,0)(k,s)(0,0)(0,0)(0,0)(0,0)(4x,0)(0,0)(0,U)(0,0)(0,0)(E,0)(0,0)(0,0)(0,0)(0,s)(k,0)(0,0)(0,0)(0,0)(0,0)(2x,0)(0,U)(0,0)(0,0)(0,0)(E,0)(0,0)(0,0)(0,s)(0,0)(k,0)(0,0)(0,0)(0,0)(0,0)(Ux,0x)(0,0)(0,0)(0,0)(0,0)(E,0)(0,0)(0,s)(0,0)(0,0)(k,0)(0,0)(0,0)(0,0)(0,2x)(Sx,0)(0,0)(0,0)(0,0)(0,0)(E,0)(0,sx)(0,0)(0,0)(0,0)(kx,0)(0,0)(0,0)(0,4x)(0,0)(Qx,0)(0,0)(0,0)(0,0)(0,0)(u,Ex)(0,0)(0,0)(0,0)(0,0)(ix,0)(0,0)(0,6x)(0,0)(0,0)(O,0)(0,0)(0,0)(0,0)(0,G)(u,0)(0,0)(0,0)(0,0)(0,0)(gx,0)(0,8x)(0,0)(0,0)(0,0)(O,0)(0,0)(0,0)(0,G)(0,0)(u,0)(0,0)(0,0)(0,0)(0,0)(a,e)(0,0)(0,0)(0,0)(0,0)(O,0)(0,0)(0,G)(0,0)(0,0)(u,0)(0,0)(0,0)(0,0)(0,e)(a,0)(0,0)(0,0)(0,0)(0,0)(O,0)(0,G)(0,0)(0,0)(0,0)(u,0)(0,0)(0,0)(0,ex)(0,0)(ax,0)(0,0)(0,0)(0,0)(0,0)
Note the use of capital letters here to denote siteswap values after "z", so it goes x, y, z, A, B, C, etc. So "A" would represent a 36 length pass.

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6 мар 2024

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Комментарии : 7   
@Petiscorei
@Petiscorei 5 месяцев назад
5:3 Gives me anxiety
@valvalson4804
@valvalson4804 5 месяцев назад
that's awesome!!
@AllenKnutson
@AllenKnutson 4 месяца назад
Why (near the end) are some 9s thrown to not cross, so they then scoot across last minute?
@jamescozensjuggling6868
@jamescozensjuggling6868 4 месяца назад
Hey there! Thanks so much for the question. So an interesting effect of converting asynchronous Siteswaps to synchronous notation is that, depending on how you allocate the new beat positions, you may have 1s being “compressed” to “0x”s. In theory these are performable, but some prefer avoiding this Siteswap value, and instead simply catching the ball in the opposite hand, or as a multiplex etc.
@isaacjuggling
@isaacjuggling 5 месяцев назад
So cool! could you share the exact siteswap that shows at the bottom?
@jamescozensjuggling6868
@jamescozensjuggling6868 5 месяцев назад
Glad you like it! Yeah of course - I’ll put them in the description (they’re a bit long!)
@jamescozensjuggling6868
@jamescozensjuggling6868 5 месяцев назад
Done! Let me know if you'd like to try out any siteswaps!
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