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Help requested

🔗kalleaho <kalleaho@mappi.helsinki.fi>

6/11/2002 2:11:22 AM

Hi!

What should I read in the Web and in the Lists to get a good
understanding of the notation and terminology used in tuning-math?

I understand what linear temperaments are but the notation used is
not self-evident to me. I also have a basic understanding of
periodicity blocks but hmm... wedges? commatic/chromatic unison
vectors?

Kalle

🔗graham@microtonal.co.uk

6/11/2002 5:48:00 AM

In-Reply-To: <ae4erq+a8rm@eGroups.com>
kalleaho wrote:

> What should I read in the Web and in the Lists to get a good
> understanding of the notation and terminology used in tuning-math?

As we haven't written up the processes yet, the best place is still the
list archives.

> I understand what linear temperaments are but the notation used is
> not self-evident to me. I also have a basic understanding of
> periodicity blocks but hmm... wedges? commatic/chromatic unison
> vectors?

Wedge products are explained at
<http://mathworld.wolfram.com/WedgeProduct.html>. The importance here is
that the wedge product of the commas defining a linear temperament family
is the complement of the wedge product of two equal temperaments belonging
to the same family.

The chromatic unison vector is the one you don't temper out to get a
linear temperament. So for 7 note meantone, this is the chromatic
semitone 25:24.

Graham

🔗emotionaljourney22 <paul@stretch-music.com>

6/11/2002 12:15:26 PM

--- In tuning-math@y..., graham@m... wrote:

> The chromatic unison vector is the one you don't temper out to get
a
> linear temperament. So for 7 note meantone, this is the chromatic
> semitone 25:24.
>
>
> Graham

thanks graham and please keep pestering us with questions, kalle!