>> I have to say I didn't see much improvement with 8192 point wavetable and >> tabosc4~ In your patch you substituted the carrier but the problem is the modulator. Once you use [tabosc4~] as the modulator, the drift is minimal (but it's still there). Actually it doesn't matter if you use [osc~] or [tabosc4~] as the carrier. (See my attached patch).
I tested it in SC and you're right, I couldn't see any change in the waveform either - even after a couple of minutes. Some weird things so far: 1) [tabosc4~] is a better modulator than [osc~] 1) 8-points are better than 8192-points. 2) [osc~] and [tabosc4~] will never null out, so [osc~] is implemented differently (but how?) Some interesting side note: SC actually doesn't use 4-point interpolation for wavetable lookup but rather a form of linear interpolation: http://doc.sccode.org/Classes/Wavetable.html http://doc.sccode.org/Classes/Osc.html Still I'm asking myself if Max and SC might do some internal calculations with higher precision than Pd... Maybe Miller can help us with this? Gesendet: Sonntag, 22. November 2015 um 05:11 Uhr Von: "Alexandre Torres Porres" <por...@gmail.com> An: "Christof Ressi" <christof.re...@gmx.at> Cc: "Matt Barber" <brbrof...@gmail.com>, Pd-List <pd-list@lists.iem.at> Betreff: Re: Re: [PD] oscillators (osc~ / cycle~) not working well in FM? well, I was trying [phasor~] + [cos~] instead of [osc~] and same thing happens, so whatever is the deal with [osc~] seems to be also with that. I have to say I didn't see much improvement with 8192 point wavetable and tabosc4~ check my test patch, both behave the same way and, again, in SC or max is just perfect, anyone tried it? SC code again: {SinOsc.ar(SinOsc.ar(100, 0, 100 * 2pi), pi/2)}.scope cheers 2015-11-21 19:54 GMT-02:00 Christof Ressi <christof.re...@gmx.at>:I've checked if there's a possible time drift between [osc~] and [tabosc4~] and there's clearly none (I had them both run in parallel for several minutes and compared the results). Then I did a testing patch (see attachment) where I take the difference between the output of [osc~] and three [tabosc4~] objects (with various table sizes). While the difference between the various [tabosc4~] objects shows a nice periodicity and symmetry, the difference between [osc~] and any [tabosc4~] object is somehow periodic but it's not symmetric (and it's much larger). Does anyone understand how [osc~] is actually implemented and why it generates a different output than [tabosc4~]? Gesendet: Samstag, 21. November 2015 um 20:24 Uhr Von: "Matt Barber" <brbrof...@gmail.com> An: "Christof Ressi" <christof.re...@gmx.at> Cc: "Alexandre Torres Porres" <por...@gmail.com>, Pd-List <pd-list@lists.iem.at> Betreff: Re: [PD] oscillators (osc~ / cycle~) not working well in FM? Try it with an 8-point table and [tabosc4~]. It's still far more stable than [osc~]. On Sat, Nov 21, 2015 at 1:50 PM, Christof Ressi <christof.re...@gmx.at> wrote:I've found the reason! Looking at the Pd source code (d_osc.c and m_pd.h) [osc~] seems to read from a 512 (1<<9) point wavetable (defined by LOGCOSTABSIZE and COSTABSIZE in m_pd.h), whereas SuperCollider's SinOsc uses 8192 points. (Both programs do their audio math with 32-bit floats.) So I tried to substitute [osc~] with [tabosc4~] reading from a 8192 point wavetable (done with a simple cosinesum) - and the result is far more stable (although not perfect)! I think you can't really prevent this kind of drift with FM, although you can keep it very small by using very large wavetables. The better solution, however, is using PM, as you've discovered anyway. Gesendet: Samstag, 21. November 2015 um 19:12 Uhr Von: "Alexandre Torres Porres" <por...@gmail.com[por...@gmail.com]> An: "Christof Ressi" <christof.re...@gmx.at[christof.re...@gmx.at]> Cc: Pd-List <pd-list@lists.iem.at[pd-list@lists.iem.at]> Betreff: Re: Re: [PD] oscillators (osc~ / cycle~) not working well in FM? > Does this make sense? :-D yeah, I kinda had the same idea > Can anyone explain why this kind doesn't in SC or Max? that what I'd really love to know here's my SC code that relates to my first example patch I posted here // 0Hz FM {SinOsc.ar(SinOsc.ar(100, 0, 100 * 2pi), pi/2)}.scope quite stable 2015-11-21 15:47 GMT-02:00 Christof Ressi <christof.re...@gmx.at[christof.re...@gmx.at]>: Hey Alexander, that's very interesting! What's funny: when using [metro] + [vline~] instead of [phasor~], the drift is clearly slower. As you noted, PM seems to be stable (It is noteworthy that DX7 actually uses PM for better stability). My guess it, it has something to do with rounding errors. And I can somehow intuitively see how this will affect FM but not PM: Let's imagine a huge truck on a highway. On the truck is another car which can move forwards and backwards. And then there's a motercycle going at a fixed speed. FM -> The car would remain fixed on the truck and someone would press and release the gas pedal of the truck periodically (starting from the same speed as the motercycle). If the amount of pressure/relief is not 100% precise, you can't really tell where exactly the car+truck will be after a couple of miles, even if the timing of manipulating the gas pedal is 100% exact, because small errors in speed will immediately result in small but lasting errors in location. So there will probably be a slow drift over time between the truck+car and the motercycle. PM -> The truck moves at a fixed speed (same as the motorcycle) while the car on the truck goes forwards and backwards at a fixed intervall. The car is guaranteed to be in the middle of truck every N seconds. So even if the movement of the car might not be perfect, the location is 100% predictable at least every N*k seconds and this means that it will stay in phase with the motorcycle. Does this make sense? :-D Can anyone explain why this kind doesn't in SC or Max??? (I didn't test it myself) Larger look-up tables? More precision? Gesendet: Samstag, 21. November 2015 um 17:06 Uhr Von: "Alexandre Torres Porres" <por...@gmail.com[por...@gmail.com][por...@gmail.com[por...@gmail.com]]> An: "Roman Haefeli" <reduz...@gmail.com[reduz...@gmail.com][reduz...@gmail.com[reduz...@gmail.com]]> Cc: "pd-list@lists.iem.at[pd-list@lists.iem.at][pd-list@lists.iem.at[pd-list@lists.iem.at]]" <pd-list@lists.iem.at[pd-list@lists.iem.at][pd-list@lists.iem.at[pd-list@lists.iem.at]]> Betreff: Re: [PD] oscillators (osc~ / cycle~) not working well in FM? By the way, I was wondering and thinking if this was a particularity of the "0Hz carrier FM", that is: a FM patch with no carrier frequency. But I tried other regular FM patches with a carrier signal and could see that it didn't keep static as well. On the other hand, the same patch implemented as Phase Modulation (PM) maintains a static waveform in Pd. In my last example, the patch I had as "waveshaping" could be thought of as a "0hz PM" patch. Now, I tested the PM stability with the [phasor~] + [cos~] architecture and also with [cycle~]. The FM instability happened with both [osc~] and [cycle~]. In Max, a FM patch with [cycle~] is stable. In short, there's something fishy with FM in Pd... cheers 2015-11-21 13:25 GMT-02:00 Alexandre Torres Porres <por...@gmail.com[por...@gmail.com][por...@gmail.com[por...@gmail.com]]>: > Can you elaborate? Not easily I'm afraid, so I'll try to keep it simple: it's a demonstration on the relationship between FM and waveshaping, compare now both patches in my new example. The waveshaping does not change through time. But let me attempt to reason why it should keep static - it's like any other FM patch, once you have set the parameters, the waveform must be static and not change in time. My tests with supercollider and Max had a good result (waveform kept static). I also tried in Pd with cycle~ and in the newest vanilla. cheers 2015-11-21 11:26 GMT-02:00 Roman Haefeli <reduz...@gmail.com[reduz...@gmail.com][reduz...@gmail.com[reduz...@gmail.com]]>: On Sat, 2015-11-21 at 02:59 -0200, Alexandre Torres Porres wrote: > howdy, attached there's a patch where I was experimenting with FM > > > the waveform shouldn't change with time, but it does. Give it a while > though, 30 seconds is enough to hear a change in tone quality, then > resseting the oscillator phase brings it back to where it was > > > don't know why it does come out of phase, an equivalent patch in SC > and Max does not get out of phase... I hear and see what you mean. Interesting question. Frankly, I don't quite understand why it is expected to stay in phase. Can you elaborate? 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0.796765 0.796301 0.795837 0.795373 0.794907 0.794442 0.793976 0.793509 0.793042 0.792575 0.792107 0.791639 0.79117 0.7907 0.790231 0.78976 0.78929 0.788818 0.788347 0.787875 0.787402 0.786929 0.786456 0.785982 0.785507 0.785032 0.784557 0.784081 0.783605 0.783128 0.782651 0.782173 0.781695 0.781217 0.780738 0.780258 0.779778 0.779298 0.778817 0.778336 0.777854 0.777372 0.776889 0.776406 0.775922 0.775438 0.774953 0.774468 0.773983 0.773497 0.773011 0.772524 0.772037 0.771549 0.771061 0.770572 0.770083 0.769594 0.769104 0.768613 0.768122 0.767631 0.767139 0.766647 0.766154 0.765661 0.765168 0.764674 0.764179 0.763684 0.763189 0.762693 0.762197 0.7617 0.761203 0.760705 0.760207 0.759709 0.75921 0.75871 0.75821 0.75771 0.757209 0.756708 0.756206 0.755704 0.755202 0.754699 0.754195 0.753691 0.753187 0.752682 0.752177 0.751672 0.751166 0.750659 0.750152 0.749645 0.749137 0.748628 0.74812 0.747611 0.747101 0.746591 0.74608 0.74557 0.745058 0.744546 0.744034 0.743521 0.743008 0.742495 0.741981 0.741466 0.740952 0.740436 0.73992 0.739404 0.738888 0.738371 0.737853 0.737335 0.736817 0.736298 0.735779 0.735259 0.734739 0.734219 0.733698 0.733177 0.732655 0.732132 0.73161 0.731087 0.730563 0.730039 0.729515 0.72899 0.728465 0.727939 0.727413 0.726887 0.72636 0.725832 0.725304 0.724776 0.724248 0.723718 0.723189 0.722659 0.722129 0.721598 0.721067; #A 1000 0.720535 0.720003 0.719471 0.718938 0.718404 0.71787 0.717336 0.716802 0.716267 0.715731 0.715195 0.714659 0.714122 0.713585 0.713048 0.71251 0.711971 0.711433 0.710893 0.710354 0.709814 0.709273 0.708732 0.708191 0.707649 0.707107 0.706565 0.706022 0.705478 0.704935 0.70439 0.703846 0.703301 0.702755 0.702209 0.701663 0.701116 0.700569 0.700022 0.699474 0.698925 0.698377 0.697828 0.697278 0.696728 0.696178 0.695627 0.695076 0.694524 0.693972 0.69342 0.692867 0.692313 0.69176 0.691206 0.690651 0.690096 0.689541 0.688985 0.688429 0.687873 0.687316 0.686759 0.686201 0.685643 0.685084 0.684525 0.683966 0.683406 0.682846 0.682285 0.681725 0.681163 0.680601 0.680039 0.679477 0.678914 0.678351 0.677787 0.677223 0.676658 0.676093 0.675528 0.674962 0.674396 0.673829 0.673263 0.672695 0.672128 0.671559 0.670991 0.670422 0.669853 0.669283 0.668713 0.668143 0.667572 0.667 0.666429 0.665857 0.665284 0.664712 0.664138 0.663565 0.662991 0.662416 0.661842 0.661266 0.660691 0.660115 0.659539 0.658962 0.658385 0.657807 0.657229 0.656651 0.656072 0.655493 0.654914 0.654334 0.653754 0.653173 0.652592 0.652011 0.651429 0.650847 0.650265 0.649682 0.649099 0.648515 0.647931 0.647347 0.646762 0.646177 0.645591 0.645005 0.644419 0.643832 0.643245 0.642658 0.64207 0.641482 0.640893 0.640304 0.639715 0.639125 0.638535 0.637944 0.637354 0.636762 0.636171 0.635579 0.634987 0.634394 0.633801 0.633207 0.632614 0.632019 0.631425 0.63083 0.630234 0.629639 0.629043 0.628446 0.62785 0.627252 0.626655 0.626057 0.625459 0.62486 0.624261 0.623662 0.623062 0.622462 0.621861 0.621261 0.620659 0.620058 0.619456 0.618854 0.618251 0.617648 0.617045 0.616441 0.615837 0.615232 0.614627 0.614022 0.613417 0.612811 0.612204 0.611598 0.610991 0.610383 0.609776 0.609168 0.608559 0.60795 0.607341 0.606732 0.606122 0.605512 0.604901 0.60429 0.603679 0.603067 0.602455 0.601843 0.60123 0.600617 0.600004 0.59939 0.598776 0.598161 0.597547 0.596931 0.596316 0.5957 0.595084 0.594467 0.59385 0.593233 0.592615 0.591997 0.591379 0.59076 0.590141 0.589522 0.588902 0.588282 0.587662 0.587041 0.58642 0.585799 0.585177 0.584555 0.583932 0.583309 0.582686 0.582063 0.581439 0.580815 0.58019 0.579565 0.57894 0.578314 0.577689 0.577062 0.576436 0.575809 0.575182 0.574554 0.573926 0.573298 0.572669 0.57204 0.571411 0.570781 0.570151 0.569521 0.568891 0.56826 0.567628 0.566997 0.566365 0.565732 0.5651 0.564467 0.563834 0.5632 0.562566 0.561932 0.561297 0.560662 0.560027 0.559391 0.558755 0.558119 0.557483 0.556846 0.556208 0.555571 0.554933 0.554295 0.553656 0.553017 0.552378 0.551739 0.551099 0.550459 0.549818 0.549177 0.548536 0.547895 0.547253 0.546611 0.545968 0.545326 0.544683 0.544039 0.543396 0.542751 0.542107 0.541462 0.540817 0.540172 0.539527 0.538881 0.538234 0.537588 0.536941 0.536294 0.535646 0.534998 0.53435 0.533702 0.533053 0.532404 0.531754 0.531105 0.530455 0.529804 0.529154 0.528503 0.527851 0.5272 0.526548 0.525896 0.525243 0.52459 0.523937 0.523284 0.52263 0.521976 0.521322 0.520667 0.520012 0.519357 0.518701 0.518045 0.517389 0.516733 0.516076 0.515419 0.514761 0.514103 0.513445 0.512787 0.512129 0.51147 0.51081 0.510151 0.509491 0.508831 0.50817 0.50751 0.506849 0.506187 0.505526 0.504864 0.504202 0.503539 0.502876 0.502213 0.50155 0.500886 0.500222 0.499558 0.498893 0.498228 0.497563 0.496898 0.496232 0.495566 0.4949 0.494233 0.493566 0.492899 0.492231 0.491564 0.490896 0.490227 0.489559 0.48889 0.48822 0.487551 0.486881 0.486211 0.485541 0.48487 0.484199 0.483528 0.482856 0.482185 0.481512 0.48084 0.480167 0.479495 0.478821 0.478148 0.477474 0.4768 0.476126 0.475451 0.474776 0.474101 0.473426 0.47275 0.472074 0.471398 0.470721 0.470044 0.469367 0.46869 0.468012 0.467334 0.466656 0.465977 0.465299 0.464619 0.46394 0.463261 0.462581 0.461901 0.46122 0.46054 0.459859 0.459177 0.458496 0.457814 0.457132 0.45645 0.455767 0.455084 0.454401 0.453718 0.453034 0.45235 0.451666 0.450982 0.450297 0.449612 0.448927 0.448241 0.447556 0.44687 0.446183 0.445497 0.44481 0.444123 0.443436 0.442748 0.44206 0.441372 0.440684 0.439995 0.439306 0.438617 0.437928 0.437238 0.436548 0.435858 0.435167 0.434477 0.433786 0.433095 0.432403 0.431712 0.43102 0.430327 0.429635 0.428942 0.428249 0.427556 0.426862 0.426169 0.425475 0.424781 0.424086 0.423391 0.422696 0.422001 0.421306 0.42061 0.419914 0.419218 0.418521 0.417825 0.417128 0.41643 0.415733 0.415035 0.414337 0.413639 0.412941 0.412242 0.411543 0.410844 0.410145 0.409445 0.408745 0.408045 0.407345 0.406644 0.405943 0.405242 0.404541 0.403839 0.403138 0.402436 0.401733 0.401031 0.400328 0.399625 0.398922 0.398218 0.397515 0.396811 0.396107 0.395402 0.394698 0.393993 0.393288 0.392583 0.391877 0.391171 0.390465 0.389759 0.389053 0.388346 0.387639 0.386932 0.386225 0.385517 0.384809 0.384101 0.383393 0.382684 0.381976 0.381267 0.380558 0.379848 0.379139 0.378429 0.377719 0.377008 0.376298 0.375587 0.374876 0.374165 0.373454 0.372742 0.37203 0.371318 0.370606 0.369893 0.369181 0.368468 0.367755 0.367041 0.366328 0.365614 0.3649 0.364186 0.363471 0.362757 0.362042 0.361327 0.360611 0.359896 0.35918 0.358464 0.357748 0.357032 0.356315 0.355599 0.354882 0.354164 0.353447 0.352729 0.352012 0.351294 0.350576 0.349857 0.349138 0.34842 0.347701 0.346981 0.346262 0.345542 0.344822 0.344102 0.343382 0.342662 0.341941 0.34122 0.340499 0.339778 0.339056 0.338335 0.337613 0.336891 0.336169 0.335446 0.334723 0.334001 0.333278 0.332554 0.331831 0.331107 0.330383 0.329659 0.328935 0.328211 0.327486 0.326761 0.326036 0.325311 0.324586 0.32386 0.323135 0.322409 0.321683 0.320956 0.32023 0.319503 0.318776 0.318049 0.317322 0.316594 0.315867 0.315139 0.314411 0.313683 0.312954 0.312226 0.311497 0.310768 0.310039 0.30931 0.30858 0.307851 0.307121 0.306391 0.305661 0.30493 0.3042 0.303469 0.302738 0.302007 0.301276 0.300544 0.299813 0.299081 0.298349 0.297617 0.296884 0.296152 0.295419 0.294686 0.293953 0.29322 0.292487 0.291753 0.29102 0.290286 0.289552 0.288817 0.288083 0.287349 0.286614 0.285879 0.285144 0.284409 0.283673 0.282938 0.282202 0.281466 0.28073 0.279994 0.279257 0.278521 0.277784 0.277047 0.27631 0.275573 0.274835 0.274098 0.27336 0.272622 0.271884 0.271146 0.270408 0.269669 0.268931 0.268192 0.267453 0.266714 0.265975 0.265235 0.264495 0.263756 0.263016 0.262276 0.261536 0.260795 0.260055 0.259314 0.258573 0.257832 0.257091 0.25635 0.255608 0.254867 0.254125 0.253383 0.252641 0.251899 0.251157 0.250414 0.249671 0.248929 0.248186 0.247443 0.246699 0.245956 0.245213 0.244469 0.243725 0.242981 0.242237 0.241493 0.240749 0.240004 0.239259 0.238515 0.23777 0.237025 0.23628 0.235534 0.234789 0.234043 0.233297 0.232551 0.231805 0.231059 0.230313 0.229566 0.22882 0.228073 0.227326 0.226579 0.225832 0.225085 0.224338 0.22359 0.222842 0.222095 0.221347 0.220599 0.219851 0.219102 0.218354 0.217605 0.216857 0.216108 0.215359 0.21461 0.213861 0.213111 0.212362 0.211612 0.210863 0.210113 0.209363 0.208613 0.207863 0.207113 0.206362 0.205612 0.204861 0.20411 0.203359 0.202608 0.201857 0.201106 0.200354 0.199603 0.198851 0.1981 0.197348 0.196596 0.195844 0.195091 0.194339 0.193587 0.192834 0.192082 0.191329 0.190576 0.189823 0.18907 0.188317 0.187563 0.18681 0.186056 0.185303 0.184549 0.183795 0.183041 0.182287 0.181533 0.180778 0.180024 0.17927 0.178515 0.17776 0.177005 0.17625 0.175495 0.17474 0.173985 0.17323 0.172474 0.171719 0.170963 0.170207 0.169451 0.168696 0.167939 0.167183 0.166427 0.165671 0.164914 0.164158 0.163401 0.162644 0.161888 0.161131 0.160374 0.159617 0.158859 0.158102 0.157345 0.156587 0.15583 0.155072 0.154314 0.153556 0.152798 0.15204 0.151282 0.150524 0.149766 0.149007 0.148249 0.14749 0.146732 0.145973 0.145214 0.144455 0.143696 0.142937 0.142178 0.141419 0.140659 0.1399 0.139141 0.138381 0.137621 0.136862 0.136102 0.135342 0.134582 0.133822 0.133062 0.132302 0.131541 0.130781 0.13002 0.12926 0.128499 0.127739 0.126978 0.126217 0.125456 0.124695 0.123934 0.123173 0.122412 0.121651 0.120889 0.120128 0.119366 0.118605 0.117843 0.117082 0.11632 0.115558 0.114796 0.114034 0.113272 0.11251 0.111748 0.110986 0.110223 0.109461 0.108699 0.107936 0.107174 0.106411 0.105648 0.104886 0.104123 0.10336 0.102597 0.101834 0.101071 0.100308 0.0995449 0.0987816 0.0980184 0.0972551 0.0964917 0.0957282 0.0949647 0.0942012 0.0934376 0.0926739 0.0919102 0.0911464 0.0903826 0.0896187 0.0888548 0.0880908 0.0873268 0.0865627 0.0857986 0.0850344 0.0842701 0.0835059 0.0827415 0.0819771 0.0812127 0.0804482 0.0796837 0.0789191 0.0781545 0.0773898 0.0766251 0.0758604 0.0750956 0.0743307 0.0735658 0.0728009 0.0720359 0.0712709 0.0705058 0.0697407 0.0689756 0.0682104 0.0674452 0.0666799 0.0659146 0.0651493 0.0643839 0.0636185 0.062853 0.0620875 0.061322 0.0605564 0.0597908 0.0590252 0.0582595 0.0574938 0.0567281 0.0559623 0.0551965 0.0544307 0.0536648 0.0528989 0.052133 0.051367 0.050601 0.049835 0.049069 0.0483029 0.0475368 0.0467706 0.0460045 0.0452383 0.0444721 0.0437058 0.0429395 0.0421733 0.0414069 0.0406406 0.0398742 0.0391078 0.0383414; #A 2000 0.037575 0.0368085 0.036042 0.0352755 0.034509 0.0337425 0.0329759 0.0322093 0.0314427 0.0306761 0.0299095 0.0291428 0.0283761 0.0276094 0.0268427 0.026076 0.0253093 0.0245425 0.0237758 0.023009 0.0222422 0.0214754 0.0207086 0.0199417 0.0191749 0.018408 0.0176412 0.0168743 0.0161074 0.0153405 0.0145736 0.0138067 0.0130398 0.0122729 0.0115059 0.010739 0.00997203 0.00920507 0.00843811 0.00767115 0.00690418 0.00613721 0.00537023 0.00460325 0.00383627 0.00306928 0.00230229 0.00153531 0.000768316 1.32679e-006 -0.000765663 -0.00153265 -0.00229964 -0.00306663 -0.00383361 -0.0046006 -0.00536758 -0.00613455 -0.00690153 -0.0076685 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