Speed control of ceiling fan
I know there are plenty of ceiling fans out there that have speed control using a rheostat ("dimmer"). But I have a question about "doing it myself".
I have a typical cheap three-speed (with the pull-chain; hi-med-lo-off) ceiling fan. It has a light fixture that can be wired separately from the fan power. My question is, could I wire the fan power (only, NOT the light too) to a rheostat (rotary or slide "dimmer switch"), set the pull-chain to "high", and then just effectively run the fan with the dimmer? I realize that the fan is probably not "intended" to be controlled this way, but if it is a multi-speed fan anyway, then the motor is obviously variable-speed, right? As long as I have the pull-chain set to "high", then I would expect the "dimmer" would control the fan speed from that high setting down to "off".
Does this sound correct? Any reason why it would not work? I feel like I have seen this suggested (or "optional") in fan installation brochures, but I no longer have the brochure for the fan I have.