Mathober2023_Cyclotomic

Mathober2023_Cyclotomic

Cycles Cycling

Cyclomatic

For the 21st Prompt Of Mathober: Cyclotomic. Cyclotomic polynomials will be coded via Tixyland & SonicPi. The name of the piece will be Cyclomatic

Cyclo-Process

The TixyLand equation will contain the following Cyclotomic Polynomials :

cos(t*(x^4+1))/sin((x-1)* i *(x^4-x^2+1)).

Aided with the addition of cos/sin functions and the i & t variables as well as overlaid TIxyLand sketches

Poem

Motions are cycling
Wilding
Moving fast
Moving past
The motions that open
As if they are words that have to be spoken

Video

SonicPi Code

=begin

Original Code Snippet

live_loop :Donetsk do 
 play choose( [ :G4, :Bs3,  :C1 ] ) ,attack: 3 ,delay: 3   ,amp: 0.5 
 sleep 0.5 
 end 


=end

#DroneDay Remix and then adding PaulStretch tool to make it more Droney


with_fx :hpf, mix: 0.67 do
  with_fx [:whammy,:ixi_techno,:ixi_techno].tick, mix: 0.24 do
    live_loop :Donetsk do
      play choose( [:G4,:Bs3,:C1]),attack: dice(3) ,sustain: dice(3),amp: dice(2)
      sleep [0.25,0.5].choose
    end
  end
end

with_fx :distortion, distort: [0.5, 0.4,0.3,0.2,0.1,0.2,0.3,0.4,0.5].tick do
  with_fx :hpf, mix: 0.67 do
    with_fx [:whammy,:flanger,:vowel].choose, mix: 0.24 do
      live_loop :Dontsk do
        play choose( [:G4,:Bs3,:C1]),decay: dice(3) ,sustain: dice(3),amp: dice(2)
        sleep [0.25,0.5].choose
      end
    end
  end
end