As an aside:
Halcro,
you asked (16th April):
although something tells me that whilst the UNIprotractor 'arm' is not centred on the Spindle, there might be some mathematical formula which, when the micrometer is wound down to its minimum position, could still be used to check Spindle to Pivot dimensions?
I don't know how the device works, how it differs from the Dennesen, or what the various fine adjustment features are, but presumably they allow the device to be set up for Baerwald IEC nulls, (and whatever other nulls are supplied).
If the principle is Dennesen, which it appears to be, then arm mounting distance (pivot to spindle distance) can be obtained by finding two dimensions:
First:
The distance to the arm pivot as measured along the axis of the perspex arm from the point where the null radius crosses it.
Call this X.
Second:
The distance from the centre of the spindle along the null radius to the centre line of the perspex arm that terminates on the arm pivot.
This distance varies depending on the alignment, and must adjust for each, but you don't have to measure it if the device can be set for Baerwald IEC as it is given by:
Outer null minus Inner null, then divide by 2,
Call this Y.
(For Baerwald IEC this is 27.45. If the device is set for another alignment, then the same calculation applies with the appropriate nulls.)
This gives a right angled triangle, so the mounting distance is given by:
the square root of: X squared plus Y squared.
This applies to the Dennesen also, of course, but only for the Baerwald alignment for which it is set up, unless modified.
The accuracy of the method depends on how well you can measure the distance along the perspex arm to the pivot.
It does beg the question, though, of why one would need to know the mounting distance, as the Dennesen principle allows correct alignment with any existing and unknown mounting distance. If the distance has been set wrongly for a particular arm, this would be corrected (for a slotted headshell) by adjusting the effective length and cartridge offset (assuming enough adjustment) to match the null on the protractor.
.