log(n)

Holy cow, I think I just learned that the sum of the
first n subharmonics (including the fundamental) is
nearly log(n). And that this accounts for why stuff
like the total amount of money in the bank accounts of
n people is about log(n) times the amount in the
wealthiest person's account.

-Carl

--- In tuning@yahoogroups.com, "Carl Lumma" <clumma@...> wrote:
>
> Holy cow, I think I just learned that the sum of the
> first n subharmonics (including the fundamental) is
> nearly log(n). And that this accounts for why stuff
> like the total amount of money in the bank accounts of
> n people is about log(n) times the amount in the
> wealthiest person's account.

http://en.wikipedia.org/wiki/Harmonic_number
http://en.wikipedia.org/wiki/Digamma_function