Hi Frank,

> Parabolic being not so useful?  I'd say it's as useful as a triangle, though 
> that's not saying much.

Not sure if that question is to me—I don’t think I said that, just more more 
difficult for not much gain (as you say, as useful as a triangle), in the 
context of a basic analog synth.

> OK, you say it's easy to make straight lines from a few components.  What of 
> the morph from saw to tri, alternating one segment at a rising angle with 
> another at a falling angle?  That's all straight lines, and it seems 
> phenomenally useful.

It’s been a long time since my synth-hardware days, and I never tried a saw-tri 
morph, I’m sure someone else can support more. There are a number of ways to 
generate a triangle, either as the root waveform or derived. For instance, you 
can derive it from saw by switching between a rising ramp, and an inverted 
(falling ramp) version of it, by using a comparator set to half-way. 
Controlling the symmetry, for morphing upramp-tri-downramp is a little 
trickier, as you’d either need to juggle two ramp rates, or amplitude 
multipliers (that seems much easier). Just off the top of my head.

Nigel

> On Feb 12, 2018, at 3:41 AM, Frank Sheeran <fshee...@gmail.com> wrote:
> 
> Nigel thanks for your insight on why hardware never (or rarely?) had a 
> parabolic wave output.  In a phrase, too many components.
> 
> Parabolic being not so useful?  I'd say it's as useful as a triangle, though 
> that's not saying much.
> 
> OK, you say it's easy to make straight lines from a few components.  What of 
> the morph from saw to tri, alternating one segment at a rising angle with 
> another at a falling angle?  That's all straight lines, and it seems 
> phenomenally useful.
> 
> (This video is a non-BWL oscillator though my BWL oscillator does the same 
> tri-saw morph, if not all of the other ones shown.)
> 
> https://www.youtube.com/watch?v=eDUkqtdgcXg 
> <https://www.youtube.com/watch?v=eDUkqtdgcXg>
> 
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