Interesting online inductance calculators for you:
I need 35 loop turns for ~300 µH (Di=127 mm, N=35, w=1 mm, s=0.814 mm, -> Do=254 mm = 10"). My coil software is proposing N=34.7 for a 10 turn spiral approximation (just to speed it up, seems to work ok
).
Aziz



It's obviously quite non-trivial and requires either much much more processing power by trying many many different random orientations (the Monte-Carlo Method) or another approximation idea. 

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