Musical set theory

Pitch interval

In musical set theory, a pitch interval (PI or ip) is the number of semitones that separates one pitch from another, upward or downward. They are notated as follows: PI(a,b) = b − a For example C4 to D♯4 is 3 semitones: PI(0,3) = 3 − 0 While C4 to D♯5 is 15 semitones: PI(0,15) = 15 − 0 However, under octave equivalence these are the same pitches (D♯4 & D♯5, ), thus the may be used. (Wikipedia).

Pitch interval
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Related pages

Set theory (music) | Modular arithmetic | Interval class