back to list

RE: [tuning] infinite/finite

🔗Paul H. Erlich <PERLICH@ACADIAN-ASSET.COM>

4/19/2000 2:43:48 PM

That's not a one-to-one mapping of the 3x5 lattice to the harmonic series,
only of the first quadrant of the 3x5 lattice to the harmonic series. So
this statement doesn't seem right:

>if
>you have an infinite set of JI pitches, their membership will correspond
one
>to one with the membership of the (likewise infinite) harmonic series, even
>though the first series is a sieved subset of the second...

especially if you keep track of factors of 2, which were Haverstick's main
concern.

But you could of course create a 1-to-1 mapping that includes all quadrants.
The relevance of which is?