Yantra-genera

Following Mclain, we have a definition of yantra_p(n) in terms of all
the p-limit integers less than or equal to n. Following Euler, we have
a definition of genus(n) in terms of the divisors of n. Following me,
we can put the two together and define the yantra-genus for the pair
of integers n and m, in terms of the divisors of n less than or equal
to m.
Yantgen(n, m) is, by this, the reduction to the octave of all of the
divisors of n less than or equal to m. If n has a monzo <e2 e3 ... ep|
with the prime q exponent, eq, greater than log base q of n for each
odd prime q, then the yantra-genus is just the p-limit yantra
yantra_p(m). On the other hand, yantgen(n, n) = genus(n). In between
we find things intermediate between a yantra and a genus.