Hi Kevin!
I once tried tap tuning with a microphone and spectrograph thingy (the way mandolins can be tap tuned) but it didn’t work well. Because every skin is different, relying solely on specific frequencies is risky. (Some skins may break before a certain frequency is reached) Basically, there’s no right answer to what is the ‘perfect tension’. The best way to get the right tension is to just tap and hear what sounds good to you. Generally, if it sounds bright and you feel a sharp bounce when tapping your finger on it, that’s where you want to be.
When I was learning how to skin shamisen, I was in the dark for so long. “How do I know what’s right?” Basically, there is no right answer. The main point is as tension rises, the feeling (both sound and snap-back when tapping it with your fingers) will noticeably change. You may even have to keep stretching it until it breaks in order to understand how the sound response changes. (It’s not required though)
Good luck!
Kyle