Using the math from that link below 
(202-200)/200=0.01 ==> inverted is 100:1.

Done the other way...  If that's possible then
(202-200)/202 = 0.0099009900... ==> inverted is 101:1

John

> -----Original Message-----
> From: Sam Sokolik [mailto:samco...@gmail.com]
> Sent: March-22-21 6:19 AM
> To: Enhanced Machine Controller (EMC)
> Subject: Re: [Emc-users] Maybe a minimally printed harmonic drive?
> 
> 202,200 for the outside spline and the flex gear is 200.  In this situation
> - the 202 tooth spline is stationary to the stepper.  The 200 tooth outside
> spline is mounted to the faceplate.  In this layout - the ratio apears to
> be 101:1
> 
> In this situation the stepper motor and the face plate spin the same
> direction.
> 
> With the same set of outside spines swapped - the ratio is 100:1
> 
> I am sure Andy can explain it.  It doesn't make sense to me.
> 
> Happy with runout...  https://www.youtube.com/watch?v=eLyP2YwdstQ
> 
> sam
> 
> On Mon, Mar 22, 2021 at 12:58 AM John Dammeyer <jo...@autoartisans.com>
> wrote:
> 
> >
> >
> > > From: Sam Sokolik [mailto:samco...@gmail.com]
> > > So.....   interesting..   I just swapped the gears..  Before my ratio was
> > > 100:1.   Input scale was 1600step/rev * 100 = 160000/360 = 444.4444444
> > > input scale.
> > >
> > > Now I reversed the outside splines.   I thought - wow - I must be losing
> > > steps - but i would aways come back to zero.   Finally though - maybe the
> > > ratio was now 102:1 - no.  over shot.
> > >
> > > so the final solution seems to be 101:1  WTH?
> > >
> > > sam
> >
> > Hi Sam,
> > I found this at:
> > https://www.engineeringclicks.com/harmonic-drive/
> >
> > "The rate of rotation is dependent on the rotation of the input shaft and
> > the difference in the number of teeth between the flex spline and the
> > circular spline. The flex spline has fewer teeth than the circular spline,
> > so it can rotate at a much reduced ratio and in the opposite direction than
> > that of the input shaft. The reduction ration is given by: (number of flex
> > spline teeth � number of circular spline teeth) / number of flex spline
> > teeth. So for example, if the flex spline has 100 teeth and the circular
> > spline has 105, the reduction ratio is (100 � 105) / 100 = -0.05 which
> > means that the flex spline ration is -5/100 (minus indicates the opposite
> > direction of spin). The difference in the number of teeth can be changed to
> > accommodate different reduction ratios and thus different specialized needs
> > and requirements."
> >
> > So how many teeth have you on the fixed verses flex gear?  And did you by
> > chance miscount?
> > John Dammeyer
> >
> >
> >
> >
> >
> > _______________________________________________
> > Emc-users mailing list
> > Emc-users@lists.sourceforge.net
> > https://lists.sourceforge.net/lists/listinfo/emc-users
> >
> 
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