CritDeathX

:::::::::::::::: I'm looking for the more direct operation for finding the contralinear tones myself.  As for how to turn the fractions into something you can understand, let's take a look at more familiar ratios- in the ratio of 4:5:6, there's a hidden denominator to each number, and if this denominator is made explicit, the result for this chord is 4/1:5/1:6/1.  The "1" at the bottom signifies the fundamental pitch- or else, the pitch that acts as a virtual fundamental.  Therefore, "4/1" means that you're dealing with a pitch that's four times the frequency of the fundamental, "5/1" means that you're dealing with a pitch that's five times the frequency of the fundamental, and "6/1" means that you're dealing with a pitch that's six times the frequency of the fundamental.  If you flip these fractions, you get 1/4:1/5:1/6- a ratio in which the fundamental is four times the frequency of the first pitch, five times the frequency of the second pitch, and six times the frequency of the third pitch.  Does this make sense so far? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:29, 12 September 2020 (UTC)