definitions

[Erlich:]
> (I noticed that harmonic series has an entry but is not listed)

Thanks, Paul.
It's in the index now, along with the other new entries.

I still have to enter about 75 percent of the
definitions John Chalmers gave me, and it's hard
to keep track of them all sometimes.

Joseph L. Monzo....................monz@juno.com
http://www.ixpres.com/interval/monzo/homepage.html
|"...I had broken thru the lattice barrier..."|
| - Erv Wilson |
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> roughness
in there

> partial
in there

> critical band
in there

> tonalness
in there

> determinant
in there

> matrix: the representation of ratios in terms of the
> exponents of the prime factors is really a vector,
> not a matrix; vector addition is what you
> mean instead of matrix addition.

Yes, this was already pointed out to me by
Kees van Prooijen. Apologies to Kees for not
getting his definitions into the dictionary yet.
He gave me good ones for vector, matrix, and
determinant.

Also, I neglected to mention Kami Rousseau and
Jan Haluska, who both also contributed to the dictionary.
All these entries will be in there soon.

BTW, it's also been pointed out to me by mathematicians
that what we musicians are calling 'lattices' do not
necessarily fit the mathematical definition of the term.

There are different meanings for lattice, and the
way we use it, it refers to a way of modelling the
relationships between collections of objects
(similar to the way chemists use it) that does not
necessarily include the strict relationships required
by mathematics (a least upper bound and a greatest lower bound),.

My intention is certainly to try to model my lattices
according to the mathematical definition if at all possible.
(I need to learn much more about them)

> Another problem in the [unison vector definition]:
> the 225/224 is not a septimal schisma
>(which is 33554432/33480783) but I think it's a kleisma.

Would someone *please* give me a definition for 'kleisma'.
I've never seen this word until about two months ago
in this Forum.

Also, is there only the one septimal schisma?
I was under the impression that more than one
small interval could carry the name.

Joseph L. Monzo....................monz@juno.com
http://www.ixpres.com/interval/monzo/homepage.html
|"...I had broken thru the lattice barrier..."|
| - Erv Wilson |
--------------------------------------------------

___________________________________________________________________
You don't need to buy Internet access to use free Internet e-mail.
Get completely free e-mail from Juno at http://www.juno.com/getjuno.html
or call Juno at (800) 654-JUNO [654-5866]