interval of equivalence, period, unison-vector

Hi guys,

I've been diligently studying the tuning-math archives, and
am really confused about one thing.

(OK, many things ... but let's start here...)

> tuning-math message 823
> From: graham@m...
> Date: Thu Aug 23, 2001 7:22 am
> Subject: Re: Interpreting Graham's matrix
/tuning-math/message/823?expand=1
>
> The things that make this system different to the one
> before is that it isn't unitary, and only one column of
> the inverse depends on the first generator. It's the second
> criterion that allows us to draw the non-arbitrary
> distinction between "interval of equivalence" and
> "unison vector", and so throw away the former.

I'm having a really hard time understanding the differences
between "interval of equivalence", "period", and "unison-vector".

Why aren't they *all* unison-vectors?

-monz

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