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In musical set theory it is more accurate to say that a pitch class is an equivalence class of all pitches that are octaves apart, which would be labeled by an integer, not a traditional letter name. In both cases, when "pitch class" is used, the use of "pitch" indicates a specific frequency or note and does not include its octaves.
Using integer notation and mod 12, two pitches, x and y, are in the same pitch class only if for some integer n:
- x = 12n + y
for some non-negative integer n.
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