harmonic entropy (Breed/Lumma)

[Breed?:]
>> As large intervals do appear to be less consonant,
>> the denominator rule
[Lumma:]
> Aha! The issue of large intervals comes again. I will
> follow Keenan and call this "span".

I'm pretty sure he meant to say "large-number intervals",
i.e., more complex.

[Lumma:]
> Maybe the answer is that consonance and dissonance
> aren't mutually exclusive opposites

Take a look at my definition of "sonance" on my website.
Schoenberg, Partch, and me (and I'm sure many others)
believe(d) precisely that consonance and dissonance
are *NOT* mutually exclusive opposites - they're
just opposite ends of a *continuum*.

|\=/|.-"""-. Joseph L. Monzo...................monz@juno.com
/6 6\ \ http://www.ixpres.com/interval/monzo/homepage.html
=\_Y_/= (_ ;\ c/o Sonic Arts, PO Box 620027, San Diego, CA, USA
_U//_/-/__/// | "...I broke thru the lattice barrier..." |
/monz\ ((jgs; | - Erv Wilson |

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Joe Monzo wrote,

>>> As large intervals do appear to be less consonant,
>>> the denominator rule
[Lumma:]
>> Aha! The issue of large intervals comes again. I will
>> follow Keenan and call this "span".

>I'm pretty sure he meant to say "large-number intervals",
>i.e., more complex.

No Joe, if you'd been following this discussion, you'd know that "span"
refers to large intervals, not large-number intervals.

>> Maybe the answer is that consonance and dissonance
>> aren't mutually exclusive opposites

>Take a look at my definition of "sonance" on my website.
>Schoenberg, Partch, and me (and I'm sure many others)
>believe(d) precisely that consonance and dissonance
>are *NOT* mutually exclusive opposites - they're
>just opposite ends of a *continuum*.

Pay attention Joe, Carl is saying more than that -- he's saying that
consonance and dissonance would form two seperate dimensions, and that
increasing one doesn't necessarily mean decreasing the other.

[Erlich, TD 122-18:]
>
> Joe Monzo wrote,
>
> >>> As large intervals do appear to be less consonant,
> >>> the denominator rule
> [Lumma:]
> >> Aha! The issue of large intervals comes again. I will
> >> follow Keenan and call this "span".
>
> >I'm pretty sure he meant to say "large-number intervals",
> >i.e., more complex.
>
> No Joe, if you'd been following this discussion, you'd know that "span"
> refers to large intervals, not large-number intervals.

I already admitted I got lost on this thread, but I'll
have to go back and find the original post and re-read it.
I was pretty sure that Carl was misinterpreting. I could
easily be wrong. Graham, care to correct anyone?

> >> Maybe the answer is that consonance and dissonance
> >> aren't mutually exclusive opposites
>
> >Take a look at my definition of "sonance" on my website.
> >Schoenberg, Partch, and me (and I'm sure many others)
> >believe(d) precisely that consonance and dissonance
> >are *NOT* mutually exclusive opposites - they're
> >just opposite ends of a *continuum*.
>
> Pay attention Joe, Carl is saying more than that -- he's saying that
> consonance and dissonance would form two seperate dimensions, and that
> increasing one doesn't necessarily mean decreasing the other.
>

Yes - I gathered that from the subsequent posts Carl made.
It's certainly a possibility.

Based on the idea that odd or prime factors in
the lattice each create unique dimensions, perhaps
it's possible that there are many types of sonance,
each one based on individual odd or prime numbers,
none of them necessarily being mutually exclusive.

-monz
|\=/|.-"""-. Joseph L. Monzo...................monz@juno.com
/6 6\ \ http://www.ixpres.com/interval/monzo/homepage.html
=\_Y_/= (_ ;\ c/o Sonic Arts, PO Box 620027, San Diego, CA, USA
_U//_/-/__/// | "...I broke thru the lattice barrier..." |
/monz\ ((jgs; | - Erv Wilson |

___________________________________________________________________
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Get completely free e-mail from Juno at http://www.juno.com/getjuno.html
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