You don't need to experiment by trial and error to design the replacement coil.
If you first select the correct wire size according to your desired operating voltage, the number of turns is the outcome of rebuilding the coil to its original dimensions.
For American Wire Gauge, the following gets you very close: (New AWG) = (Old AWG - 10 log (Original voltage/New Voltage))
If you first select the correct wire size according to your desired operating voltage, the number of turns is the outcome of rebuilding the coil to its original dimensions.
For American Wire Gauge, the following gets you very close: (New AWG) = (Old AWG - 10 log (Original voltage/New Voltage))