New ask Hacker News story: Ask HN: How many *playable* combinations of piano keys are there?
Ask HN: How many *playable* combinations of piano keys are there?
5 by jacquesm | 4 comments on Hacker News.
Given a span of 15 notes for one hand; and two hands I make it out to be less than 49 billion but the exact number eludes me (fingering constraints, duplicate notes between the two hands when they overlap). The 49 billion is 3003 (15 choose 5) * 73 (the number of positions you could do that in) squared. Anybody good at math with a more accurate number?
5 by jacquesm | 4 comments on Hacker News.
Given a span of 15 notes for one hand; and two hands I make it out to be less than 49 billion but the exact number eludes me (fingering constraints, duplicate notes between the two hands when they overlap). The 49 billion is 3003 (15 choose 5) * 73 (the number of positions you could do that in) squared. Anybody good at math with a more accurate number?
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