User talk:Contribution/Exploring Selected Modes in 12-EDO

--Angekallikoita (talk) 15:52, 29 January 2025 (UTC)

I don't understand the meaning of "vanish through a series of intervals in the distinct consistency odd-limit where each note is distinct". I thought every comma could be factored into a series of intervals (not necessarily primes) in more than one way, and the definition of "tempering out" has nothing to do with the exact way of factorization. And I can't find the expression "distinctly temper(s/ing) out" anywhere else on this wiki, so it's probably an idiosyncratic term. Can you clarify the definition through examples and counterexamples (i.e. commas that 12edo tempers out but not in this list)? By the way, how to prove that only 14 commas have this property in 12edo?