On Sat, 2006-01-28 at 13:21 +0100, Carlo Capocasa wrote: > > Only two values are enough to mathematically reproduce > > an exact waveform; even more precise than you can sample it. > > Like vector graphics! So if that's the case say, why do we still have > MP3? Why don't we just convert whatever sound files we have into > mathematical formulae and have players to convert them to sound at any > sampling rate? To quote a friend: (tanh(sin(2*pi*(tanh(((sin(2*pi*(t+1/16)+sin(2*pi*(t+1/16)+ sin(2*pi *(t+1/16)+sin(2*pi*(t+1/16))/2)/2))+1)-2)*2)+1)*8)* (tanh(((sin(2*pi *(t+1/16)+sin(2*pi*(t+1/16)+sin(2*pi*(t+1/ 16)+sin(2*pi*(t+1/16))/2) /2))+1)-2)*2)+1)*6*(tanh(((abs( sin(2*pi*t/90-sin(2*pi*t/45)/2))-1) *2)+1)+1))/2*tanh(sin(2* pi*t/180)*20)+(sin(2*pi*t*f*2^((2*(int(cos (pi*int(t*4)/2)+ cos(pi*int(t*4)/4)))-24)/12)+(sin(2*pi*t*(f+5)*2^((2 *(int( cos(pi*int(t*4)/2)+cos(pi*int(t*4)/4)))-36)/12)))*(1-2*abs(1- t %0.5))*8*(tanh(((sin(2*pi*t/180-sin(2*pi*t/90)/2)-1)*2)+1)+ 1)) *sin(2*pi*t*2+abs(sin(2*pi*t*2+abs(sin(2*pi*t*2)*0.5))))/ 16+sin(2 *pi*t*f*2^((2*(int(cos(pi*int(t*4)/2)+cos(pi*int(t*4 )/4)))-36)/12) +(sin(2*pi*t*(f+5)*2^((2*(int(cos(pi*int(t*4)/ 2)+cos(pi*int(t*4) /4)))-48)/12)))*(1-2*abs(1-t%0.5))*4)* sin(2*pi*t*2+abs(sin(2*pi*t *2+abs(sin(2*pi*t*2)*0.5))))/2)* tanh(sin(2*pi*t/180)*20)+(tanh ((sin(2*pi*t*f*2^((2*(int( cos(pi*int((t-6/8))/2)+sin(pi*int((t -6/8))/8)))-0)/12)+sin(2* pi*t*5)/2) *(tanh(cos(2*pi*(t-2/8))*5) +1)+sin(2*pi*t*f*2^((2* (int(cos(pi*int((t+6/8))/2)+sin(pi*int((t +6/8))/8)))-0)/12)+ sin(2*pi*t*5)/2)*(tanh(cos(2*pi*(t+2/8))*5)+1)) *(tanh(sin(2* pi*t/180)*2)/4+sin(2*pi*t/180-sin(2*pi*t/180))*0.78)) /4+ tanh((sin(2*pi*t*(f+1.2)*2^((2*(int(cos(pi*int((t-6/8))/2)+ sin(pi*int((t-6/8))/8)))-0)/12)+sin(2*pi*t*5)/2)*(tanh(cos(2* pi*(t-2/8))*5)+1)+sin(2*pi*t*(f+1.2)*2^((2*(int(cos(pi*int((t+ 6/8)) /2)+sin(pi*int((t+6/8))/8)))-0)/12)+sin(2*pi*t*5)/2)* (tanh(cos(2 *pi*(t+2/8))*5)+1))*(tanh(sin(2*pi*t/180)*2)/4+ sin(2*pi*t/180 -sin(2*pi*t/180))*0.78))/8)/5)*0.9 f=440 Also audible as an mp3 at: http://www.mikseri.net/elektrojaenis (It's one of the songs, just press the download link above the formula) A bit OT though, as it's made with Goldwave in windows -- Sampo Savolainen <v2@xxxxxx>