What is the most dissonant interval in equally tempered diatonic scale?
According to the rules of counterpoint, the tritone. The ration of frequencies in a tritone is one to the square root of two, which is not a rational number (whereas all other intervals within the octave can be expressed in simple frequency relationships). By the way, just a bit of nitpicking here, but there is no such thing as an “equally tempered diatonic” scale. A diatonic scale is one consisting of seven notes – a mode. The “equal temperament” division of the octave is a system of twelve notes to the octave, and is referred to as the “chromatic” scale.
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