I know Q and gain are not the same thing. That's why i have been looking for the mathematical relation between Gain = a function of variables like Q, frequency, ferrite geometry and properties. If you read G3RBJ's article, he has an equation for the induced voltage....
BBC TV white paper on ferrite by Poole. The methodology described here can be repeated with signal gen and a cheap spectrum analyzer(Meguro Loop test):
https://www.bbc.co.uk/rd/publications/whitepaper091