Hi Jonathan,

On Sat, Jun 28, 2014 at 9:40 PM, Jonathan Wilkes via Pd-list <pd-list@lists.iem.at> wrote:

Hi list,
     If I take a circle, cut it in half horizontally, then move the bottom half r*2 units to the right, what is the waveform that results?


A phase corrected triangle wave at least looks like half a circle (the green wave: http://funsseelen.eu/images/gnuplot_100_1024.png).

Partials for a normal triangle wave:
1/(1^2) * sin(x) +
0 +
-1/(3^2) * sin(3x) +
0 +
1/(5^2) * sin(5x) +
0 +
-1/(7^2) * sin(7x)
et cetera.. --> infinity

Partials for a phase corrected triangle wave:
1/(1^2) * sin(x) +
0 +
1/(3^2) * sin(3x) +
0 +
1/(5^2) * sin(5x) +
0 +
1/(7^2) * sin(7x) +
et cetera.. --> infinity

(http://funsseelen.eu/C/fourier_series/triangle.c / http://funsseelen.eu/C/fourier_series/triangle2.c C code to calculate samples that create both wave forms)

Regards,

Funs