Erlich-CS and periodicity blocks

>>Incidentally, by what reasoning did you figure that all periodicity blocks
>>represent each of their acoustic intervals by only one scale position?
>
>More intuition than reasoning. Can you find any counterexamples?

Howabout the 5-limit periodicty block:

|4 -1|
|0 2| = 8

1/1 135/128 9/8 5/4 45/32 3/2 27/16 15/8

-C.

Whoops, it appears I missed a couple of messages. I saw "Re: New Just
Intonation Neck with Bent Frets" and never got the original. So I checked
the archives and found this one:

Carl wrote,

>|4 -1|
>|0 2| = 8

>1/1 135/128 9/8 5/4 45/32 3/2 27/16 15/8

You're right! You've disproved my hunch (though calling (0 2) a unison
vector is much like my using a random scale as an example of CS. You can
stop referring to Erlich-CS now, since the other examples of improper CS
scales came straight from Kraig Grady.).