Re: [music-dsp] a family of simple polynomial windows and waveforms

2016-06-10 Thread robert bristow-johnson
Original Message Subject: Re: [music-dsp] a family of simple polynomial windows and waveforms From: "Ross Bencina" Date: Sat, June 11, 2016 12:08 am To: music-dsp@music.columbia.edu

[music-dsp] a family of simple polynomial windows and waveforms

2016-06-10 Thread James McCartney
fun with math: You can create a family of functions, which can be used as windows, LFO waves or envelopes from the formula: f(x) = (1-x^a)^b evaluated from x = -1 to +1 where 'a' is an even positive integer and 'b' is a positive integer. 'a' controls the flatness of the top and 'b' controls

Re: [music-dsp] a family of simple polynomial windows and waveforms

2016-06-10 Thread Ross Bencina
Nice! On 11/06/2016 11:31 AM, James McCartney wrote: f(x) = (1-x^a)^b Also potentially interesting for applying waveshaping to quadrature oscillators: https://www.desmos.com/calculator/vlmynkrlbs Ross. ___ dupswapdrop: music-dsp mailing list