Re: Unison Vector

The definitions I've seen so far strike as going backwards, so let me take a
stab at a definition.

Unison vector: The interval between two points on the infinite lattice that
are considered equivalent when those equivalences are being used to reduce
the infinite lattice to a finite periodicity block. For example, on the
two-dimensional 5-limit lattice, one might wish to consider a move four
steps along the positive 3 axis (i.e. up 81/64) to be equivalent to one step
along the positive 5 axis (i.e. up 80/64 = 5/4). The ratio between these two
pitches (i.e. 81/80) is a unison vector. For some purposes the unison vector
may be written as an actual vector (say <4,-1> is this example or <-4,4,-1>
if we wish to include factors of two in the cooridinate system) instead of a
frequency ratio.

David Bowen

--- In tuning@yahoogroups.com, "David Bowen" <dmb0317@f...> wrote:

/tuning/topicId_54915.html#54915

> The definitions I've seen so far strike as going backwards, so let
me take a
> stab at a definition.
>
> Unison vector: The interval between two points on the infinite
lattice that
> are considered equivalent when those equivalences are being used to
reduce
> the infinite lattice to a finite periodicity block.

***This is by far the best I've seen yet... That's exactly what I
was suggesting...

JP