Stephen, I'm not an engineer, but the little theory I know would answer your question like this:
I think the motors are AC synchronous motors. If they were DC motors, the line frequency would be completely irrelevant in this context.
Having said that, there are two options for the designers (well, maybe three)...
1) Rewire the motor to use a different pole count that would result in the same # of revolutions at the higher AC frequency (remember, the voltage is mostly irrelevant in this situation); and/or
2) Use a smaller motor spindle, so even if the motor turned faster, the end result would be the capstan itself (the flywheel, etc) turning at the same speed; and/or
3) Use a bigger capstan (flywheel) - this would result in a much more accurate "ratio conversion".
It sounds like they may have done all three in this case.
The best way (the least unreliable, if you like) to check the belt size (assuming you don't have to do the three-hand belt replacement just to see) is to do the following:
1) Measure the distance between the centres of both the motor and flywheel spindles. Let's call this distance D.
2) Now measure the DIAMETER of the motor spindle, multiply by Pi (to get the circumference of the actual spindle), and halve it (since the belt only touches half the spindle at any one time. Call this Dm.
3) Do the same thing with the capstan spindle. The half circumference is Dc.
4) now add the two spindle half diameters, and add twice the centre distance: Dtotal := Dm + Dc + 2*D.
That's (to within a reasonable degree of error) your belt's TOTAL circumference. Now divide Dtotal by Pi, and voilá: your belt's true diameter.
I've doublechecked my figures with the old belt I have, and the measurement is about 2.2mm less than the actual physical belt's diameter. Taking into account stretching, that resulted in a darn good main belt replacement number.
I've also heard back from the Aussie belt supplier, they're shipping me a selection of the thicker O-rings for my 50Hz deck this week sometime. So hopefully I'll have some good news to report.
Please note, I can't even spell injuneer, so my "rule of thumb" measurements may be off a little - perhaps someone who passed high-school maths could elucidate a better way...
Good luck with the response from the B&O gurus!
Cheers,
Mathematically-challenged Pete
Data is not Information; Information is not Knowledge; Knowledge is not Wisdom.