Re: Digest Number 130

>Funny you should mention 27/20 because a couple of weeks ago I looked at
>"Polegnata e Todora" the song the Le Mystere Des Voix Bulgares use to
>highlight their concerts. This is the song used in that car commercial
>(BMW?) and I think AT&T used to use it, or was it American Express.

Audi.

>>It was in octave-specific mode (despite an error), and the reason it was
>>trivial is that it gave log(n*d) of the original fraction -- what's the
>>point of considering it a lattice route?
>
>Lattices are useful for visualizing the harmonic relationships between
>notes, for composition algorithms utilizing those relationships, etc. etc.

To me, there's a difference between a lattice metric and a lattice
visualization of a complexity metric.

>>>No -- unless you use a very strange, non-Euclidean type of triangle where
>>>the length of one side is equal to the sum of the lengths of the other two
>>>sides!
>
>>Thanks for answering that. =8^)
>
>Oops -- I see that that must be obvious to you. So in what sense do you mean
>equivalent?

Actually, I was being sincere.

Carl Lumma wrote,

>To me, there's a difference between a lattice metric and a lattice
>visualization of a complexity metric.

Can it hurt to try to make them coincide as closely as possible? Then one
kills two birds with one stone.