This is a true and important theory please study that carefully.
Let t=0.t(1)t(2)t(3)... be a algebraic number in interval (0,1) of real numbers then there is a rational number in interval (0,1) of real numbers like b =0.b(1)b(2)b(3)... such that if H be a set contain h (h is in Natural numbers) that t(h)=b(h) then H is a infinite subset of Natural numbers and if t be a transcendental number then for each rational number b, the set H must be a finite set.
Musictheory2math. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Musictheory2math&oldid=40237