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  • 21:55, 18 December 2025 Inthar talk contribs created page Operations on intervals (Created page with "The following are common '''arithmetic operations on musical intervals'''. == Stacking and unstacking == Stacking two intervals feels perceptually like we are adding two distances, though it corresponds to multiplying two frequency ratios. The logarithm function is the bridge between frequency space and pitch space: <math>\log_2 (ab) = \log_2 a + \log_2 b</math> for any two frequency ratios ''a'' and ''b''. The above equation tells us that the sum of the size (in octa...")