Talk:Major third

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Just wondering... in the stats box at the top right, would it not make sense to give the intervals (in the form of a decimal number) to the equal tempered and Pythagorean major third too? So 1.25992 and 1.265625.

I've added that the M3rd is harmonically significant because it is the quarter-point of the octave (E.g., 2^4/12 = appr. 1.25). See Normalizing the Musical Scale for info to back up that claim. (GaulArmstrong)

I'm confused by this, in the sentence "A major third in just intonation most often corresponds to a pitch ratio of 5:4 (which, as a ratio of small numbers, is harmonically significant) or 1.25:1, or various other ratios" -- as I understand it, ratios in just intonation are typically kept as whole numbers, so 1.25:1 looked odd and I instinctively converted it to a whole number ratio equivalent, which turned out to be 5:4. The sentence seems to be saying that 1.25:1 is not the same as 5:4. I looked at the Normalizing the Musical Scale page and was rather overwhelmed with math. I've long thought the 5:4 major third was significant for being the (octave-reduced) fifth harmonic -- the simplest of the ratios based on the prime number 5. Pfly 03:10, 13 March 2007 (UTC)