Something similar will work for the powers of 3/2 in base two; since (3/2)^12 is close to a power of 2, the powers of 3/2, written in binary and then sorted into lex order, are close to the powers of the twelfth root of 2. This is the basis of equal tempering in Western music. Jim Propp On Fri, Jul 26, 2019 at 9:12 AM Colin Wright <maths@solipsys.co.uk> wrote:
Here's a small thing that a friend of mine discovered:
https://www.solipsys.co.uk/new/PowersOfTwoInLexOrder.html?sg26mf
Surely this has been seen before, but I can't find any kinds of references to it. If anyone can suggest some references I'd be grateful.
Thanks.
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