Final test of this session
Confirm the need for the dimmed mains supply 'solution'.
With the capacitor wired in parallel with the DC output & the 40 watt lamp in parallel with the dimmed mains supply ...
... the motor was slowed to absolute minimum, yet could be stopped and started.
By removing the lamp... the motor would not start.
The test was repeated.
With the lamp... the motor would start.
Without the lamp... the motor would not start.
Conclusion
A solution is required for both the AC supply to the transformer, AND the DC supply to the motor.
Notes
I note that Jim concurs that the capacitor is the correct solution for the transformer DC output.
The capacitor seems to remain very cool - no apparent change in temperature.
I have justed tested the minimum rpm... 8 rpm.
It is the lowest yet recorded!
When you think we started with the lowest rpm at 54 rpm.
... we now have fingertip control down to 8 rpm
What Next?
Here's the 'motor speed control panel':
For test purposes, a two way adaptor allowed a two pin socket to be placed in parallel with the dimmed mains supply.
This was an excellent solution.
The lamp holder, cable, and plug are ancient (and filthy)... but they worked perfectly, and provided a constant for all the tests that followed.
To test with, or without the lamp... the lamp plug could be easily inserted or withdrawn.
It seems that, while we can love the lamp solution because it works (and has character)... can it be replaced with something more robust?
A smaller lamp could be found, and mounted in the transformer to provide a protected environment.
... but I'm thinking that it does not provide closure.
Clearly, running at 130 volts AC it is unlikely to fail.
However, there must be a replacement that is more suitable.
I think that it is worth trying because, we no longer need to have the option for insertion and withdrawal.
It's the final leg of the development process.
However... if the lamp concept proves to be the best... perhaps an oven lamp is the ideal option:
http://www.ebay.co.uk/itm/2-x-25w-240v-Clear-300-Degree-High-Temperature-Oven-Lamp-SES-E14-Light-Bulb/401347623192
14mm screw thread and the lamp is short and narrow.
It appears to be one of the smallest 240v bulbs available.