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Cake day: July 3rd, 2023

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  • This has the funny consequence that moving by a fifth and then by a fourth doesn’t land you on the ninth, but the octave (8). Moving by an octave and then another octave gets you to the 15th, not the 16th.

    This is worded confusingly. The reason for this is simply because you include the base note when you start counting, so if you stop midway and stack another interval on top, you have to account for that stop because it decreases the total travel distance by one.

    This is done to actually increase consistency. If you start at c1 and move up an octave and then move up another octave, you stop at c3 which is logical. So you either move 2 octaves or one 15th because 2*8-1 = 15.