On Sunday 29 January 2006 00:21, Sampo Savolainen wrote: > 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 Hi Sampo. Thanks for the sounds to accompany the math. It helps you to appreciate how complex computers are, and the computations that are required to produce something quite simple. BTW: I downloaded all the other tunes while at the site. Never one to miss some free music, and you never know what little gems you are going to find. Many thanks for the link. Nigel.
