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.
6 мар 2024