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Casio CZ/ VZ/ FZ - Pro Series

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Message

RE: [CZsynth] Digest Number 139

2002-03-26 by Furman, Jon W.

Good post Nathan. You may be right about the CZ's envelopes being linear. I
had forgotten about the CZ manual describing the rates as angles.  Just out
of curiosity what book about synth construction are you quoting from? I'm a
synth book junky and I don't think that I've ever read a book that had any
really detailed discussion about envelopes.

If the rates are really angles then the time relationships would still not
be linear as the elapsed time between two envelope stages would be given by:
(L2-L1)/Tan(R). For a level change of 100 the time taken for angles 10~90
(in degrees) would look something like:

 
Level	Rate Angle	Time	
100	10	567.13	
100	20	274.75	
100	30	173.21	
100	40	119.18	
100	50	83.91	
100	60	57.74	
100	70	36.40	
100	80	17.63	
100	90	0.00	
			
			

There you can see that none of the time values are multiples which they
would have to be in order for linearity. 

Once again if the rates really are angles your envelope matching  formulas
would have to change to use the Level/Tan(R) calculation rather than the
Level/Rate calculation.

Thanks to you too for the excellent discussion!



Jon


	-----Original Message-----
	From:	Nathan I Smutz [SMTP:n.smutz@...]
	Sent:	Monday, March 25, 2002 8:20 PM
	To:	CZsynth@yahoogroups.com
	Subject:	Re: [CZsynth] Digest Number 139

	Hi Jon,
	
	Yeah, a stopwatch is pretty imprecise to measure this kind of thing.
	If a person wanted to try to time somthing, a pitch envelope might
work
	best.
	
	[Linearity]
	The manual text actually spoke of the various rates being angles.  
	I need to look at the manual to find out whether it says anything
about
	the relationship between the levels.
	I suppose an exponential relationship between levels would be a way
to
	produce an exponential envelope.
	That would make for some graininess when changing between low
levels.
	The CZs were early digital technologly.  I wouldn't be surprised if
the
	envelopes were linear.  A book about synthesizer construction (early
90s)
	mentioned that digital envelopes were, very often, linear.   
	
	I want to make sure I was right about somthing else:
	If Rate represent an angle and Level relationships are linear, would
I
	still have been right about the time relationships?
	If one draws a line between two parallel lines, does a 10 degree
angle
	produce a line twice as long as a 20 degree line?  
	And is this relationship linear?  I.e. would the 10 degree line be
three
	times as long as a 30 degree angle?
	
	[Possible usefulness of a calculator]
	Perhaps a calculator would still be useful even if one couldn't find
the
	exact miliseconds involved.
	If the envelopes are linear, you might be able to synchronize your
Amp
	Pitch and Wave(brightness) envelopes to end their attacks at the
same
	time,etc. 
	
	<Synchronize your envelopes>
	Using the [Rate x Time = Distance] equation you could make
envelope's
	"Time" equal.
	
	1. Find the arbitrary "Time" of your first envelope:
	
	Devide your first envelope's Distance (between the two levels) by
it's
	Rate.  
	This will give you an arbitrary "Time" value. 
	Distance / Rate  =  "Time"  
	
	2. Use the "Time" from your first envelope to find the Rates for
your
	other envelopes:
	
	Next, divide the Distance (Between levels) of  your other envelopes
by
	the "Time" of your first envelope to get the appropriate Rates.
	Distance / "Time" = Rate
	
	
	Thanks for the good discussion.
	
	Yours,
	Nathan 
	
	
	On 25 Mar 2002 12:07:14 -0000 CZsynth@yahoogroups.com writes:
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------------------------------------------------------------------------
	> 
	> There is 1 message in this issue.
	> 
	> Topics in this digest:
	> 
	>       1. RE: Digest Number 137
	>            From: "Furman, Jon W." <jfurman@...>
	> 
	> 
	>
	
________________________________________________________________________
	>
	
________________________________________________________________________
	> 
	> Message: 1
	>    Date: Sun, 24 Mar 2002 13:43:14 -0500
	>    From: "Furman, Jon W." <jfurman@...>
	> Subject: RE: Digest Number 137
	> 
	> Nathan your thoughts are good in theory but there are a few things

	> that
	> complicate this in practice. The first is that at least my ears 
	> aren't
	> sensitive enough/fingers fast enough to measure the envelope
changes 
	> with a
	> stop watch.  Maybe you might be able to get some kind of 
	> approximation but
	> I'm too deaf and slow to even come close. And the big issue is
that 
	> you're
	> assuming that these rate/level relationships are linear and I'm 
	> pretty sure
	> that they're not (at least on most synths). That is the time 
	> represented by
	> a rate of  50 going from level 1 to 100 is not 5 times the time of
a 
	> rate of
	> 10 going from level 1 to 100. To make matters worse level 50 is 
	> probably not
	> 5 times the volume(or whatever) of level 10. See what I mean? I
know 
	> that in
	> the synth manuals they always draw the envelope diagrams with 
	> straight lines
	> but I believe that if you were to graph those values in real life 
	> all those
	> lines would be curves.
	> 
	> Jon   
	
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