I checked the signal on the control line for the motor speed control with a scope and recorded it, then I was able to duplicate it with a signal generator. It's basically a square wave running at 130 Hz with a variable pulse width that ranges from about 5% for a slow idle to over 90% for a fast 1000 RPM spin. The amplitude of the signal is about 7 volts so it's not TTL, probably CMOS, but a 5 volt signal will work. If the pulses get too low in amplitude the motor stops however. To start the motor in a clockwise direction you have to force the signal line to ground then apply the pulses to make it speed up and run. To reverse the motor first slow it down to a stop with very narrow pulses then force the line high for an instant then start the pulses again to speed it up. I think a simple circuit to do this can be made with a 555 timer chip and a couple of push buttons to change directions.
I found a simple 555 based oscillator circuit that has controls for adjusting the frequency and pulse width that should be able to operate the speed controller on Electro Schematics. They have both the parts list and circuit board layout to use for making one. You can also buy a ready built unit on Ebay with a display showing the frequency and pulse width on a small screen for $3.50 that uses push buttons instead of rotary knobs.
Here are the older motor and controller from the MAH4000 on the right compared to the newer ones from the MAH6500 on the left. The MAH6500 uses a motor made in France with a label saying 2 A., 3 Phase, Variable Speed, 0-250 Volts, 0-380 Hz. The older motor has a 17mm shaft while the newer motor has a 15mm shaft. There are no specs on the older motor but the service manual says it has an 850 RPM top speed using 400 Watts. For the newer motor the manual says it can spin to 1000 RPMs. Both speed controls will work with the same PWM signal using an Arduino or signal generator to produce the PWM signal to control the speed.
None of this will work with newer models like the MAH9700 that has a pancake motor mounted right on the back of the drum and I think the speed control in inside the front control panel assembly since all the cables go into that. The first one I had was the MAH4000 with the old mechanical timer that you turned with a big knob that had a large motor with speed sensor on it hanging from the drum and fairly large motor control module mounted below the motor. They changed the design a lot over the years though and the model MAH6500 with LED display at the back has a smaller motor made in France with a really compact speed control module. The newer MAH9700 with the controls at the front is made more like a Whirlpool since the drum looks the same and must have had a lot of influence from them when they were taking over the Maytag company although the machine was assembled in Korea by Samsung.
This motor turned out to be difficult to mount due to the odd shape and lack of mounting holes. I cut off the grooved pulley from the shaft in order to be able to mount a standard 5/8" V belt pulley but I had to ream out the hole in the pulley to 17mm. I also cut off the 2 big tabs that stick out on the side to get them out of the way. I fashioned a motor mount that will give me a flat base to bolt the motor on with by using a swamp cooler motor base from Home Depot that sells for $10.50 and cutting out a flat plate to go over the front of the motor that bolts on with the one mounting bolt. The 4 bolts in the motor don't appear very strong and were not long enough to mount it with so I just cut out holes to allow them clearance through the plate. It's not shown in the photo but there is going to also be a U shaped clamp around the back of the motor to hold it securely in place.