Darcy ... good point. I almost quake to say this, but, Shenker (I know, I know) would have it that the bottom note of the first perfect fifth you can find starting from the bottom up, would define the tonal center (lacking that, the top note of the first perfect fourth). But, practically speaking, as you have done, it wouldn't have a hell a lot of meaning.

Dean

On May 28, 2007, at 2:18 PM, Darcy James Argue wrote:

I really don't think this works for more highly chromatic music. If I play every chromatic pitch on the piano simultaneously (with the aid of a 2x4, natch), where's the discernible tonal center?

Cheers,

- Darcy
-----
[EMAIL PROTECTED]
Brooklyn, NY



On 28 May 2007, at 3:56 PM, Dean M. Estabrook wrote:

Ok, ok ... forget for a sec that I cited the SOB. I still aver that when one finds a vertical aggregate with a fifth or it's inversion in it, therein lies a discernible tonal center. The last data I heard relating to this phenomena, from musicological studies world wide, proposed the thesis that every culture sampled related to the Dominant-Tonic harmonic relationship, and to the 3-2-1 melodic progression. There just seems to be an inborn need to hear a tonic chord sounded after a dominant. That's my story, and I'm sticking with it ... at least until the next post shoots it down.

Love and Kisses,

Dean

On May 28, 2007, at 9:46 AM, Andrew Stiller wrote:


On May 28, 2007, at 7:28 AM, Ken Moore wrote:

"Dean M. Estabrook" <[EMAIL PROTECTED]> wrote:
If you have a perfect fifth, or perfect fourth in a vertical aggregate, you have, according to Schenker, a tonal center present.


That's one authority who carries little weight with me. Schenker was not a total fool, but he was invincibly ignorant of the acoustics on which he purported to base his theories, unscholarly in some of his arguments, and a chauvinist in his musical tastes.

More important than any of this, his theories are ahistorical-- that is, they do not correspond to anything the actual composers of this music had in mind.

This is a problem I have with much of what passes for music theory today, not just Schenker.

Andrew Stiller
Kallisti Music Press
http://www.kallistimusic.com/

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Of all hoaxes, the one which is my most vexing bĂȘte noire on a quotidian basis, is the cereal box top which informs simply, "Lift Tab to Open." Then, "To Close, Insert Tab Here ." Yeah, right! In attempting to accomplish the first direction, not only the tab but also the slit intended to accept the aforementioned protuberance have both been irreparably disfigured and rendered dysfunctional. This debacle is then amplified by the misbehavior of the recalcitrant inner bag, which can not be unsealed sans mangling it, and hence, will not disperse its contents without exiting the box itself. All I wanted was a bowl of cereal.






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Dean M. Estabrook
http://deanestabrook.googlepages.com/home

Of all hoaxes, the one which is my most vexing bĂȘte noire on a quotidian basis, is the cereal box top which informs simply, "Lift Tab to Open." Then, "To Close, Insert Tab Here ." Yeah, right! In attempting to accomplish the first direction, not only the tab but also the slit intended to accept the aforementioned protuberance have both been irreparably disfigured and rendered dysfunctional. This debacle is then amplified by the misbehavior of the recalcitrant inner bag, which can not be unsealed sans mangling it, and hence, will not disperse its contents without exiting the box itself. All I wanted was a bowl of cereal.






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