Over the weekend I think I figured out what was going on with my Tach and the thermistor in it. Based on several measurements done before I disassembled my tach, and some done after, I have concluded this amazing results. Apparently the thermistor in my tach had degraded over the years, so much so that what originally had been a 150 Ohm thermistor had become about 700 Ohms. Or possibly the silver contacts on each side had corroded such that there was a lot of "contact" resistance in series with the thermistor. At any rate it was clearly about 700 ohms at room temperature. Furthermore, whatever characteristics were there did a near perfect job of temperature compensation over a temp range from 50 F to 120F. Even more amazing is that I last calibrated this tach in 2005, so this fragile degradation had stabilized over the last 4 years.
Unfortunately as I removed this thermistor to better characterize it, it fell apart, crumbling into several pieces. I hope you're happy now , Kevin!!!
Fortunately I was able to replace it with an old thermistor from another broken tach. After a few more tests I find that by simply adding a 68 ohm resistor in series with the original I can achieve near perfect compensation with a temperature stability of about +/- <100 RPM. I will try that on at least one other tach for some insight into how consistant these tachs are.
It seems clear that the original thermistor, as observed by me in 4 seemingly good samples, overcompensates the circuit by about 4-6 %. It is also possible that the original thermistor did compensate nearly perfectly, but that the devices have all aged and degraded to where they no longer do so. It is a known fact that thermistors, in general, are rather unstable devices (over time) and very likely ones made 40 years ago were even more unstable. With no part number to compare I cannot tell what the original specs were, I can only measure its characteristics now.
After some study I think any of several replacement thermistors stocked at Digi-Key in the range of 200 to 500 ohms can be used successfully.
Depending on the thermistor value and its Beta curve, some thermistors will have close or near perfect compensation. Of course that also depends on possible variations in other components in the tach. My calculations suggest that a 300 ohm thermistor with a beta of 3900 slightly overcompensates my tach (by about 1.8%) but with a 33 ohm resistor in series with it will provide near perfect compensation and still allow some tweeking, if needed, by changing the value of the series resistor. A different value might accomplish the compensation without need for an extra resistor, but without knowing more about the variations of individual tachs I think I'll stick with the 2 component solution
I plan to buy several of these 300 Ohm thermistors and a few others from Digi and will experiment on two or three tachs. I hope to be able to provide a solid replacement recomendation then.
Sorry for boring all the non-electronic guys with such minutia, but this is one small area where I can contibute.
Tom