Increasingly Enumerable Submonoids of R : Music Theory as a Unifying Theme
Increasingly Enumerable Submonoids of R : Music Theory as a Unifying Theme
We analyze the set of increasingly enumerable additive submonoids of R, for instance, the set of logarithms of the positive integers with respect to a given base. We call them ω-monoids. The ω-monoids for which consecutive elements become arbitrarily close are called tempered monoids. This is, in particular, the case …