When designing the continuous wavemixer, I thought a bit about the fact that as you turn the dial, the (perceived) loudness of the output changes. As the number of harmonics in the signal changes, from none with the sine wave, to “all” in the square wave, the output sounds progressively louder even if the signal amplitude is the same.
This is most pronounced when going from sine to saw, but triangle to saw also has a noticeable difference, so I’ve contemplated changing the input mix to compensate for this. As the cross fade is computer controlled, I could also compensate in the source mix vca, which is good since it can be done after the hardware has been made.
When studying “off the shelf” VCO chips with built-in waveshapers, I noticed that the different wave outputs indeed have different amplitudes. I have not been sure if this is just a byproduct of how the waves are generated in hardware, or actually a design feature.
Today I read the data sheet for the AS3394 (a CEM3394 clone) because I was curious about building a simpler synth voice, and noticed that it has a built in waveform mixer/selector. And in the text, it is clearly stated that the waveforms have different amplitudes to keep the loudness the same. Saw is 27% larger than triangle, and square is 27% larger than square.
Unfortunately, I cannot see the same numbers in the waveform plots on page 4, but it shows that triangle output is 50mV, saw is 45mV and square is 30mV. Now, 27% larger than 30 is 38, and 27% larger than 38 is 48.4, so we are very close to the real value for square, but saw does not make sense. However, the saw output on pin 9 is stated as 45mV as well, so this could just be a copy/paste error. The 27% text is lifted straight from the CEM data sheet which does not have a similar plot so it’s hard to tell if the original text is wrong or if the plot is wrong without measuring. I have bought an AS3394 so maybe I’ll get around to checking it sometime.
CEM3340
Tri: 0-5v
Saw: 0-10v
Square: 0-12v
Meaning square is 20% larger than saw, but saw is 100 larger than tri. Also, they are not centred, meaning they should be centred using a capacitor (or with separate centring circuitry - caps mess with pulses, they won’t be centred around 0. Not uncommon in real designs though, and something that will happen in the filter anyways, one just need to take it into account when mixing several sources to prevent clipping).
SSI2130
All outputs are 0-2.5V, though pulse goes slightly below 0 (-34mV)
For more on the waves, see:
Tri:
https://en.m.wikipedia.org/wiki/Triangle_wave
Saw:
https://en.m.wikipedia.org/wiki/Sawtooth_wave
Square:
wikipedia.orghttps://en.m.wikipedia.org › wikiSquare wave - Wikipedia
