Thanks, this would be a great solution.

Meanwhile I collected the references for the relevant parts (below, if
someone is interested ).
The unfinished reverb will be omitted for simplicity and clarity, pickup
replaced.
I will take some time for the changes, if someone finds a part in the code
the should be either more concise or
more verbose, or a msitake, let me know.
I also realized that I rewrote some things that seem to have equivalents in
the library, I will most likely replace them.

Gabriel

// Modulation synthesis with sparse convolution filter and distortions.
// ====================================================================
//
// A "3D" oscillator oscillating on x,y,z axis, with the radius of x,y
going
// into a hyperbolic distortion.
//
// The y axis oscillation is set by MIDI pitch, x and z are detuned by
simple just tuned ratios.
// Feedback acts on the individual sine oscillations.
//
//
// Three weighted copies with time varying shifts are summed in a lossy
integrator
// ( sparse convolution ), followed by a peak filter and shaped by an
asymmetric polynomial.
//
// The convolution tabs would give a (variyng) triangle impulse response if
integrated twice,
// with a -12 dB/octave rolloff and varying regular notches.
// Here only one integrator is used.
//
//
// The envelope is hard wired to the oscillation amplitudes and the rise
time of the filter.
//
// An LFO is wired to pitch.
//
//
// Inspired by the history of sound synthesis, namely Trautonium, Mini
Moog, Phase Modulation Synthesis,
// Variophon Wind Instrument Synthesizer, Physical Modeling, and the work
of Thams D. Rossing.
//
// References:
// Kot, Vítězslav. (2006). DIGITAL SOUND EFFECTS ECHO AND REVERB BASED ON
NON EXPONENTIALLY DECAYING COMB FILTER.
// https://en.wikipedia.org/wiki/Variophon
// Parker, Julian & Zavalishin, Vadim & Le Bivic, Efflam. (2016). Reducing
The Aliasing Of Nonlinear Waveshaping Using Continuous-Time Convolution.
// Nicholas G. Horton, Thomas R. Moore. (2008). Modelling The Magnetic
Pickup Of An Electric Guitar.
//
https://www.musicdsp.org/en/latest/Effects/86-waveshaper-gloubi-boulga.html,
see comment from 2005-09-22 01:07:58
// Frei, Beat. Digital Sound Generation I & II, ICST Zurich University of
the Arts
// Smith, J.O. Physical Audio Signal Processing,
http://ccrma.stanford.edu/~jos/pasp/, online book, 2010 edition

On Thu, Sep 11, 2025 at 10:57 AM Stéphane Letz <[email protected]> wrote:

> Hi Gabriel,
>
> I suggest we do it simple for now. If you can cleanup and document the DSP
> code, then I can put in the examples/misc section:
> https://faustdoc.grame.fr/examples/#misc
>
> Thanks.
>
> Stéphane
>
>
> > Le 10 sept. 2025 à 18:43, ga <[email protected]> a écrit :
> >
> > Thanks
> >
> > I will look into installing Faust locally, I am bit deterred by the vast
> amount of dependencies
> > and my little experience with installing such projects.
> >
> > I also don't have much experience with make and compiling and C,
> > but I think faust2rpialsaconsole might be onther option I have to look
> into
> > as running it on a Pi seems a reasonable solution for hardware.
> > I do have a Pi 400, on which unfortunately the Patch OS which might be a
> > good choice for OS does not run (or I didnt get it to run ).
> >
> > to 4)
> > The code and concept is public and libre from my side, but maybe
> licenses of third parties have to be considered.
> >
> > So I reused and altered code from the Faust library ( by Julius Smith I
> think ) for the allpass delay,
> > and the idea for the triangular filter was originally inspired by the
> historic Variophon triangular oscillator, etc.
> > so at least a proper note with history and references would be
> desireable.
> > Since the concept has a really long history with many sources and
> variants, and is floating on my desk since years,
> > it's a bit difficult to be accurate in this regards, and to do this
> justice.
> >
> > The code also still needs some minor tweaks and cosmetic changes before
> it is released in a 'final' version.
> > For instance it uses two SVFs in series at the moment with very similar
> corner frequencies,
> > which could probably be replaced by a single SVF with a 'morphing'
> output.
> >
> > A previous version had roughly antialiased synched noise (windowed with
> a quarter sine wave) in a addition to the osciallator,
> > to mimick a corpus impulse response, and to enhance piano and string
> reminiscent sounds.
> >
> > I now tried to replace this with short allpass delays but it sounds less
> convincing and "boxed", and setting
> > the length of the allpass chain is also too arbitrary att the moment.
> >
> > Also noise has the interesting property that it has fluctuations, so a
> seed could be matched
> > to produce a sequence that resembles the derivative (or 2nd derivative)
> of a real corpus impulse response.
> >
> > I would like to keep the paramter set to 4 though, as the idea for a
> hardware interface is to have
> > two rows with 4 push and turn encoders each, one row for synth and one
> for EQ and other effects,
> > with each encoder serving also as a button to select a set of 4
> parameters that belong together, like ADSR.
> > ( sketch :
> https://assets.steadyhq.com/production/post/c0d7b8ae-4d1f-4afa-afe8-8bcce17883ac/uploads/images/5prochhxdb/UI.jpg?auto=compress&w=800&fit=max&dpr=2&fm=webp
> )
> >
> > (Pressing two encoders in the corners simultanously could be used for
> saveing and laoding presets.)
> >
> > This is one reason why the noise was omitted in this version.
> >
> > Such a controller should be seperate from the computing hardware and be
> useful for many things,
> > and could be easy to build from two I²C breakout boards from Adafruit,
> > but I do not have the tools and funds for this at the moment, and it
> requires
> > additional code for interfacing, which I do not have experience with.
> >
> > The idea defintively is to make it an all open source and somewhat
> flexible synth concept.
> >
> > An interesting aspect for me is that it touches and fuses many aspects
> of the history of synthesis,
> > and synthesis approaches, starting with the Trautonium, modulation
> synthesis, subtractive,
> > aspects and findings of physical modeling, etc, in a very compact but
> meaningful parameter set and combination.
> > ( less paramter than a Mini Moog I think, from which it also borroughs
> of course).
> >
> > By this it is also a good simplified model to learn and teach I think,
> for instance you could
> > examine what makes a sound "pianoide" and then expand on this with real
> pianos and real accurate modeling
> > of real phyiscal forces etc., and then again examine their perceptual
> significance and compare to this "cartoon"
> > version, and many similar things.
> >
> > I dont know whats the best way to publish this so others can contribute
> and expand on this.
> > Maintaining and ovreseeing a project on Sourceforge or similar requires
> a lot of work and energy and experience
> > which I do not have.
> > So I am also looking for interested people I can hand this idea over,
> > Including it with Faust examples would be interesting in this regards,
> but I am not sure it is fundamental and also simple enough for this, etc.
> >
> > Gabriel
> >
> >
> >
> >
> > On Wed, Sep 10, 2025 at 3:14 PM Stéphane Letz <[email protected]> wrote:
> > Hi,
> >
> > Thanks for this interesting code. For exporting the code, you have
> several options:
> >
> > 1) exporting the DSP for a standard plugin format.
> >
> >         - you can possibly use the JUCE export for that, as an
> intermediate step:
> https://github.com/grame-cncm/faust/tree/master-dev/architecture/juce.
> For maximal flexibility the best would be to compile and install a local
> Faust version.
> >
> >         - another option is to use the Fadeli project
> https://github.com/DISTRHO/Fadeli
> >
> > 2) you may find more info on this page
> https://faust.grame.fr/community/powered-by-faust
> >
> > 3) you can connect to the Faust developer/user community on Discord
> channel, see https://faust.grame.fr/community/help/
> >
> > 4) You wrote « I am proposing the attached synthesis engine. » : Is the
> code public ? Are you interested to contribute it in the Faust examples:
> https://faustdoc.grame.fr/examples/
> >
> > Thanks.
> >
> > Stéphane
> >
> >
> > > Le 4 sept. 2025 à 11:53, ga <[email protected]> a écrit :
> > >
> > > Hello
> > > I am proposing the attached synthesis engine.
> > > It uses a "3D" oscillator that oscillates in x,y, z ( similar to FM /
> AM)
> > > The radius of x,y is fed into a pickup distortion, which goes into a
> triangular filter ( 3 phase offset copies going into an integrator) an
> asymmetric distortion.
> > > It has only 4× 4 parameter, including classic ADSR and LFO, envelope
> hardwired to oscillation amplitudes.
> > > Its capable of a variety of semi- realistic sounds.
> > > Sound demo is here:
> > > https://youtu.be/7CBhMcYDWac?feature=shared
> > >
> > >
> > > I would need some help to streamline the code mor Faustian,
> > > to export including GUI, and to export including the effect,
> > > and maybe ideas how to port this to some small hardware, Pi or Daisy
> Pod ( though I doubt it will run there ). as well as opinion on the method
> and ideas.
> > >
> > > Code:
> > >
> > > declare options "[midi:on][nvoices:8]";
> > > declare options "[-vec]";
> > > declare name "Paradigma_9 v007";
> > > declare version "0.0.7";
> > > declare author "gabriel";
> > > declare copyright "https://steady.page/en/voxangelica/";;
> > > declare license "DWTW";
> > > // a synthesizer with "philonic" 3D spin oscillator and triangular
> filter
> > > import("stdfaust.lib");
> > > import("maths.lib");
> > >
> > > // frequency ratios table
> > > frtonum = waveform{1,16,9,6,5,4,7,3,8,5,7,15};
> > > frtodiv = waveform{1,15,8,5,4,3,5,2,5,3,4, 8};
> > >
> > > // MIDI
> > > midigrp(x) = hgroup("[1]MIDI",x);
> > > f = nentry("freq",200,40,2000,0.1) ;
> > > kmidi = nentry("key",69,0,127,1) ;
> > > bend = ba.semi2ratio(hslider("bend[midi:pitchwheel][style:
> knob]",0,-2,2,0.01)) ;
> > > gain = nentry("gain",0.6,0,1,0.01)<:* ;
> > > master = hslider("volume[midi:ctrl 7]",1,0,2,0.01) ;
> > > gate = button("gate") ;
> > >
> > > // spin oscill params
> > > rtogrp(x) = hgroup("[2]philonic",x);
> > > rto1sel = rtogrp(hslider("[1]x[style:knob]",-12,-24,24,1));
> > > rto2sel = rtogrp(hslider("[2]z[style:knob]",19,-24,24,1));
> > > fbka =
> rtogrp(hslider("[3]excentric[style:knob]",0.4,0,1,0.01)<:*:*(1/ma.PI));
> > > detune =
> rtogrp(hslider("[4]warble[style:knob]",0.125,0,0.5,0.005)/ma.SR);
> > > pickd =
> rtogrp(hslider("[5]distance[style:knob]",0.7,0.25,1,0.0625))<:*:si.smoo;
> > >
> > > // LFO and Envelope Parameter
> > > lfogrp(x) = hgroup("[3]envelope & lfo",x);
> > > enva = (lfogrp(ba.db2linear(hslider("[1]A[style:knob]",20,15,66,1)
> )/1000));
> > > envd = (lfogrp(ba.db2linear(hslider("[2]D[style:knob]",74,26,100,1)
> )/1000)*envpscal);
> > > envs = (lfogrp(hslider("[3]S[style:knob]",0,0,1,0.01) ));
> > > envr = (lfogrp(ba.db2linear(hslider("[4]R[style:knob]",50,26,100,1)
> )/1000)*envpscal);
> > > lfof = lfogrp(hslider("[5]LFO Hz[style:knob]",3,0.1,12,0.1));
> > > lfvibra = lfogrp(hslider("[6]Vibrato[style:knob]",0.125,0,2,0.01))<:*;
> > >
> > > env = en.adsre(enva,envd*envpscal,envs,envr*envpscal,gate);
> > > envg = env:_* gain;
> > >
> > > lfosn = qsin(mphasor(lfof/ma.SR));
> > >
> > > // Triangular Filter Parameter
> > > fltgrp(x) = hgroup("[4]triangulation",x);
> > > wid = fltgrp(hslider("[1]rise[style:knob]",4.89,1,9,0.001)):2^_:1/_;
> > > edge = fltgrp(hslider("[2]fall[style:knob]",6,1,9,0.001)):2^_:1/_;
> > > fiq = fltgrp(hslider("[3]q[style:knob]",1.18,0.5,3.87,0.01))<:*;
> > > hpon = fltgrp(checkbox("[4]highpass"));
> > > drive =
> fltgrp(hslider("[5]drive[style:knob]",0,-6,36,0.1)):_/20.0:10^_;
> > >
> > > rto1oct = rto1sel / 12 : floor;
> > > rto1semi = rto1sel + 24 : _% 12;
> > > rto1a = frtonum, rto1semi : rdtable;
> > > rto1b = frtodiv, rto1semi : rdtable;
> > > rto1 = (rto1a/rto1b)*(2^rto1oct);
> > > rto1r = min((1/ rto1),1);
> > >
> > > rto2oct = rto2sel / 12 : floor;
> > > rto2semi = rto2sel + 24 : _% 12;
> > > rto2a = frtonum, rto2semi : rdtable;
> > > rto2b = frtodiv, rto2semi : rdtable;
> > > rto2 = rto1*(rto2a/rto2b)*(2^rto2oct);
> > > rto2r = min((1 / rto2),1);
> > >
> > > // fve
> > > lg2f = ma.log2(f/440);
> > > stretch = 0.0333*lg2f;
> > > envpscal = ( - 3 * lg2f ):ba.db2linear;
> > > fplus = f*bend + lfosn* lfvibra*f * 0.5/12*envg + stretch;
> > >
> > > w = f/ma.SR;
> > > w2 = rto1 * w;
> > > w3 = rto2 * w;
> > > wplus = fplus/ma.SR;
> > >
> > > fbk1 = fbka*(0.5 -w)^4;
> > > fbk2 = fbka*(0.5 - w2)^4*rto1r;
> > > fbk3 = fbka*(0.5 - w3)^4*rto2r;
> > >
> > > // modulation reduction per frequency
> > > redux1 = ((3.3 -((rto1+1)*w) )/3.3),0: max:_^3;
> > > redux2 = ((3.3 -((rto2+1)*w) )/3.3),0: max:_^3;
> > > modep = envg;
> > > modep1 = envg * redux1 *rto1r * gain ;
> > > modep2 = envg * redux2 *rto2r * gain ;
> > >
> > > // sine oscillator
> > > wrap(n) = n-( floor( n +0.5)) ;
> > > qsincurve(x) = 1 - ( (x*x)<: *(1.2253517*16),(_<:*:*
> (-3.60562732*16)):>_ );
> > > qsin(x) = x+(0.5): wrap <: (abs:-(0.25):qsincurve),_:ma.copysign;
> > > // feedback depth reduction curve
> > > fbcurve (x)= x:abs:-(1) <:^(3):_,(x):ma.copysign;
> > >
> > > // oscillator
> > > mphasor(fw) = (+(fw) ~ (wrap));
> > > oscsn(fw, off) = mphasor(fw) + off:qsin:+~*(0.5);
> > > osc1(fw, off) = ((fw),+(off):(oscsn)) ~
> (*(fbk2):fi.pole(0.5):_*fbcurve(fw));
> > > dcrem(x) = x <:_,_': -: +~*(0.999773243);
> > >
> > > // 3D
> > > oscy(fw, off) = (osc1(fw, off )*osc1(fw*rto2+2*detune,0.75 +
> off)*modep2)*modep;
> > > oscx(fw, off) = (osc1(fw*rto1+detune,0.25 +
> off)*osc1(fw*rto2+2*detune,0.25 + off)*modep2)*modep1;
> > > oscxy(fw, off) = (oscy(fw, off)<:*),(oscx(fw, off)<:*):+:sqrt:
> fi.zero(1.0);//dcrem; //
> > > //oscxyb(fw, off) = (oscy(fw, off):fi.zero(1)) <:_,(_^2),((oscx(fw,
> off):fi.zero(1):_^2)): _, (_+_):_,(_+0.1:_^(3/2)):_/_;
> > > // with pickup
> > > oscxyc(fw, off) = oscxy(fw, off) <:_,(_^2:_+pickd:_^(3/2)):/;
> > > //
> > > //synthvox(fw, ph2, ph3, g1, g2, g3) = (oscxy(fw, 0):_*g1), (oscxy(fw,
> ph2):_*g2),(oscxy(fw, ph3):_*g3):>_ ;
> > > synthvox(fw, ph2, ph3, g1, g2, g3) = (oscxyc(fw, 0):_*g1), (oscxyc(fw,
> ph2):_*g2),(oscxyc(fw, ph3):_*g3):>_ ;
> > > // triangulation
> > > widredux = w <:+:_^3:1.0-_;
> > > // diff to max f in octaves, reduced for higher octaves
> > > dwo = ( 0.25 / wid ):max(_, 1): ma.log2: ma.inv: _*widredux: ma.inv;
> > > //edge = 1/7; // falling triangle edge,
> > > egderto = edge / wid;
> > > wid2 = wid * (2^(dwo * (1-envg ))):
> > >         _* (2^(dwo * (1- gain ) )):
> > >         min( _, 0.25): max( _, 4 / (ma.SR/fplus));
> > > wid2e = edge: min( _, 0.25): max( _, 4 /(ma.SR/fplus));
> > >
> > > fiw = wplus/wid2;
> > > fiwtail = wplus/wid2e;
> > > // triangle coefficients
> > > apg0 = fiw;
> > > apg1 = - apg0 - fiwtail;
> > > apg2 = fiwtail;
> > > // integration freq
> > > igpole = 1.0-5.0/ma.SR;
> > > resf = (fplus /( wid2 +wid2e) ): min( _, (0.249 * ma.SR));
> > >
> > > // shaper
> > > // x - 0.15x²-0.15x³
> > > tubicclip = _:min(_, (1.19419)):max(_,(-1.86086));
> > > //tubic(x) = x - 0.15*(x^2)-0.15*(x^3);
> > > tubicilo(x) = x,
> > >                 // normal for in < 1.2e-4
> > >                 ( x - 0.15*(x^2)-0.15*(x^3) ),
> > >                 // ILO:
> > >                 (( 0.5*(x^2) - 0.05*(x^3) - 0.0375*(x^4) ),(x <:_,_':-
> :_<:(abs:max(_,1.2e-4)),(ma.signum):ma.copysign):/):
> > >                 // select
> > >                 ba.if( (_:abs:_<= 1.2e-4), _, _ ):dcrem;
> > > //
> > > superfbp = 1 - sin( 2 * ma.PI * w );
> > >
> > > // make sound
> > > process = synthvox(wplus, wid2, wid2e, apg0, apg1, apg2):
> fi.dcblockerat(10.0): fi.pole(igpole) : fi.svf.peak( resf, fiq) <:
> > >             ba.if( hpon, fi.svf.hp( fplus/(wid+wid):min(_,
> ma.SR*0.249), 0.707 ),_):
> > >             _*drive: tubicclip: tubicilo:_*(1/drive);
> > > effect = _ * master:rev;
> > >
> > > //
> ###############################################################################################
> > > // CIELverb
> ######################################################################################
> > > // minimalist reverb
> > > //
> > > // UI
> > > revgrp(x) = hgroup("[5]reverb",x);
> > > sizem =
> revgrp(hslider("[1]size[style:knob]",0,-1.5,1.5,0.02)):(2.0)^_:_*16.7:si.smoo;
> > > revt = revgrp(hslider("[2]revTime[style:knob]",60,40,80,0.1)):
> ba.db2linear:_*0.001;
> > > bright = revgrp(hslider("[4]brightness[style:knob]",90,52,112,0.1)):
> ba.midikey2hz;
> > > earlyl = revgrp(hslider("[5]early/late[style:knob]",0,0,1,0.01));
> > > drywet = revgrp(hslider("[6]dry/wet[style:knob]",0.5,0,1,0.01)) <:*;
> > >
> > > // reverb settings
> > > // change revt with size
> > > revtadapt = revt * ( 0.161*(sizem^3)/(6*sizem^2 ));
> > > // diffusion delay times
> > > revd0 = ma.SR * (sizem / 334);
> > > revd1 = revd0 * 1 / ( 2 - log(2));
> > > revd2 = revd0 * 1 / ( 3 - log(2));
> > > revd3 = revd0 * 1 / ( 4 - log(2));
> > > revgn = 10^(-3*(( sizem/ 334 )/revtadapt));
> > > // diffusion allpass coeficients
> > > revc = 0.707;//0.61803; //
> > > revc1 = -revc * 10^(-3*(( revd1/ ma.SR )/revtadapt));
> > > revc2 = -revc * 10^(-3*(( revd2/ ma.SR )/revtadapt));
> > > revc3 = -revc * 10^(-3*(( revd3/ ma.SR )/revtadapt));
> > > // post (early)
> > > revdp = revd3 * 1 / ( 4 - log(2));
> > > postd1 = revdp * 1 / ( 2 - log(2));
> > > postd2 = postd1 * 1 / ( 3 - log(2));
> > > postd3 = postd2 * 1 / ( 4 - log(2));
> > > postc = 0.382;//1/3;//0.61803; //
> > > postc1 = -postc * 10^(-3*(( postd1/ ma.SR )/(revtadapt * 1 / ( 4 -
> log(2)))));
> > > postc2 = -postc * 10^(-3*(( postd2/ ma.SR )/(revtadapt * 1 / ( 4 -
> log(2)))));
> > > postc3 = -postc * 10^(-3*(( postd2/ ma.SR )/(revtadapt * 1 / ( 4 -
> log(2)))));
> > >
> > > // left right delay time offsets
> > > postdlroff = ma.SR * 0.15 /334 ;
> > >
> > > lfo1 = os.oscsin(0.13)*8.0;
> > > apcomblp(maxdel,N,g) = (+ <:
> (de.fdelay1a(maxdel,N-1.5)<:_,_':+:_*0.5),*(g)) ~ *(-g) : mem,_ : +;
> > > // post diffusion (early reflections, placed after reverb loop)
> > > postdiff( in ) = in <:
> > >                 (apcomblp( 4096, postd1, postc1): apcomblp( 4096,
> postd2 + postdlroff, postc2): apcomblp( 4096, postd3 - postdlroff*0.382,
> postc3)),
> > >                 (apcomblp( 4096, postd1 + postdlroff, postc1)
> :apcomblp( 4096, postd2 - postdlroff*0.382, postc2): apcomblp( 4096,
> postd3, postc3));
> > >
> > > // feedback filter
> > > dampp = sin( 2 * ma.PI * bright/ma.SR);
> > > fidamp = _*(dampp) : +~*(1-dampp) <:_,_':+:_*0.5: *(revgn);
> > >
> > >
> > > // reverb
> > > rev = _<: +~ (apcomblp( 4096, revd1 - lfo1, revc1):apcomblp( 4096,
> revd2 + lfo1, revc2): apcomblp( 4096, revd3,revc3): de.fdelay1a( 4096,
> revd0 ):fidamp ),_:(_*drywet:postdiff),((_*(1-drywet))<:_,_):route(4, 4,
> (1,1),(2,3),(3,2),(4,4)):>(_+_),(_+_);
> > >
> > > // END REVERB
> ############################################################################
> > >
> > > _______________________________________________
> > > Faudiostream-users mailing list
> > > [email protected]
> > > https://lists.sourceforge.net/lists/listinfo/faudiostream-users
> >
>
>
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