5906 (superpermutation by Greg Egan) | Stand-up Maths: Matt Parker

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5906 (superpermutation by Greg Egan)

by Stand-up Maths: Matt Parker

supported by

Acoustic Ecologist thumbnail

Acoustic Ecologist We do, in fact, hear the same sequence of seven notes twice. There are 7! = 5040 permutations and 5900 substrings in the composition. So by the PHP, at least one permutation must be repeated.
QED
UPDATE: Turns out: I'm wrong. My mistake is that not all substrings are permutations. Some are nonsense like 1634521.
FINAL UPDATE: After checking all 7^7 combinations, you were right. We do not hear the same sequence of 7 notes twice, but sometimes we hear the same note twice in a run of 7.

David Morrison thumbnail

David Morrison Does this mean we never hear the same exact sequence of seven notes twice?

elizabeth veldon thumbnail

elizabeth veldon i know this was intended as a joke but it's a soothing piece of minimalism by mistake and that's just wonderful.

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released March 11, 2019

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Stand-up Maths: Matt Parker London, UK

Matt Parker is any given subset of stand-up comedian, mathematician and youtuber.

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