To ILYA:
"All the coils are homemade. Advanced hobbyists were building the manual machine tools like that (the gear ratio is 20:21 to obtain сross-winding)":
I am not afraid of difficulties :))) Also, universal coil winder is beautiful device, BUT!!!...
...Universal coil winder is unnecessary for making Lev Korolyov theremins!!!
As Lev Korolyov wrote in Russian magazine "Schemotehnika" (2004, no1):
"The best way for making the windings (...of the theremin coils - Alesandro) is to make winding by hands, using simple winding tool with 3:1 accelerating reduction gear and continuously swinging wire from one side of coil to another, imitating (sic! - Alesandro) universal winding".
"I have a simplest factory manufactured mechanism with the counter, like this" ---Thumbs up!:
"universal" coil = "honeycomb" coil.