From: "José Ángel Morente msxjam@... [CZsynth]" <CZsynth@yahoogroups.com>
To: CZsynth@yahoogroups.com
Sent: Wednesday, 12 September 2018, 20:07
Subject: Re: [CZsynth] Questions about Phase Distortion
Hi Sean,
Both descriptions are true. The figure from the patent is indeed the combination of the raw PD synthesis plus regular AM. The reason is that the CZ series synths implement both techniques (remember the magical RING button; ring modulation is a particular case of the more generic classic AM). About how the synths "bends" the DCO's wave... well, as a matter of fact, it doesn't bend anything. What the synth does is a phase modification when reading a lookup table containing a pure sine wave. Just imagine what happened if you read a sine wave but you do it 'slowly' during half a wave, and suddenly you read very fast the other half of the wave. You will have indeed a sort of graphic 'bending', but what actually happened is that the phase of the DCO was modulated during the cycle reading by a time/amplitude function (just a knee function, visually similar to the one used in compressors or waveshapers).
The 'slower' you read the first chunk of the wave, the closer to a sawtooth will the output wave be. And of course acts like a lowpass filter.In other words, you change the speed of the wave playback during the whole cycle, so after all you're modulating the frequency. That's why sometimes the PD synthesis is referred as a particular case of FM synthesis.
About what you 'see' at the output, well.... the CZ/VZ has no DCOs in a traditional sense; the DCO naming is used just to make things more understable for the musician. These synths use a huge ASIC chip where the final wave is generated from the lookup tables and the modulation process.
BTW, the VZ-1 is a bit more complex. It uses the same CZ/PD synthesis as 'presets' to define the primitive waveforms (SIN, SAW1, SAW2, SAW3, etc.), but then those final waveforms are the basic waves for a flexible FM algorithm featuring 8 operators per voice. A beast. My favourite baby, BTW.
Cheers,
J.
On Wed, Sep 12, 2018 at 3:42 AM Sean Luke sean@....edu [CZsynth] <CZsynth@yahoogroups.com> wrote:
I am pretty confused about PD. Can anyone help me here?
1. PD seems to have two different descriptions. One is the description that appears in the Casio series manuals, where a sine wave is being distorted by a bent sawtooth. The other is a figure which comes from the PD patent: you can see the figure here https://en.wikipedia.org/wiki/Phase_distortion_synthesis Note that the sine is being both distorted and then amplitude-modulated. Can anyone tell me which of the two is correct for the CZ series? If it's the example in the manual, a sawtooth is easy, but how does one "bend" other DCO Waves so as to distort a sine? Or does a plain sawtooth get morphed into the DCO wave in question so as to distort the sine?
2. I am confused by the sound output being displayed on various websites, such as http://www.kasploosh.com/projects/CZ/11800-spelunking/7-window-unique.html My understanding is that the wave produced by the DCO is used to distort a sine wave, and this distorted sine wave is the final product (ignoring the DCA) sent to line out. Furthermore, the manual suggests that at one end of the DCW modulation we have a pure sine wave and at the other end we have the distorted sine. However these websites suggest that the DCO wave can be viewed directly at line out. What am I seeing here? Is this the DCO wave? Is it the distorted sine wave which for some reason resembles the DCO wave? Etc.
Sean