Yahoo Groups archive

Casio CZ/ VZ/ FZ - Pro Series

Index last updated: 2026-04-28 22:42 UTC

Message

Phase Distortion v. Fequency Modulation

2005-09-11 by steve_the_composer

Thanks for posting the link to the article.  I enjoyed reading it. 
It has a lot of interesting historical background and other 
information.  However, I have a bone to pick.

At one point the article states: 

"Other rumours claim that Casio's PD hardware employs more general 
lookup- tables mappings instead of mathematically exact 
multiplications to circumvent the patent, which only results in 
slightly different timbres (or even in the same when as a special 
case the employed table "coincidentally" maps a multiplication)."

I didn't think it was a rumor, but a bona fide explanation of how 
the CZ synth engine worked.  I don't know if it was Casio slinging 
the bull in order to avoid a suit, but it seemed to make sense the 
way the synth engine supposedly worked--harmonic content determined 
not by frequency modulation of one wave by another but by altering 
the phase of the wave based on the rate at which waves were read out 
of ROM:

"This system is capable of producing a variety of wave forms by 
distorting the read phase angles of sine and cosine waves that are 
written in ROM. The pattern of the read phase angle distortion is 
determined by the specification of the DCO . . . WAVE FORM." [CZ-
5000 manual, p. 14]

The chart that follows the above explanation shows how a resultant 
wave is derived from a cosine wave when distorted (or shifted) by a 
phase angle (from 0 to 2 pi).

I can see that this might be likened to frequency modulation in the 
traditional sense.  Maybe it is just explanatory hocus-pocus. 
Personally, I don't think it is.  Nevertheless, if it is described 
this way in the CZ manuals, I would hardly call it a rumor.

Attachments

Move to quarantaine

This moves the raw source file on disk only. The archive index is not changed automatically, so you still need to run a manual refresh afterward.