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Microtones through pitch inflexions vs ornamentations. Jazz & Indian Music



Greetings,

I am trying to find out more about microtones and pitch inflexions
that jazz is famous for. 

It seems to me that there are at least 3 distinct ways that
"microtones" can be produced: 

(1) By incorporating more frets or keys per octave in a guitar or
piano for example. This would allow a person to play "in-between"
"constant-pitch" notes.

(2) By bending a guitar string and reaching specifically for a given
intermediate pitch for example.

(3) By producing inflexions by bending a guitar string or sliding over
the frets quickly, where the ***time-varying inflexion itself** is the
"new" note, and where the exact end points of the inflexions don't
matter at all in some cases. The average value of the pitch contour
and the timing would matter more.

(Of course I have used the term "microtones" very loosely)

Now I have found that in Indian music, there are really only 12
distinct constant-pitch interval *categories*, but additional "musical
atoms" are produced via inflexions.  However, since some of these
inflexions are not mere ornamenations and HAVE to be used in certain
phrases, it is unfair to characterize Indian music as using only 12
notes. (However, the notion that Indian music today uses "22 sruthis"
is a distorted/misleading/incorrect view based on misinterpretations
of ancient texts which has been dismissed by empirical data [see
below]).  South (and North) Indian music seems to use the 3rd category
of inflexion I mentioned above.

My question on jazz is:

Are the pitch inflexions used purely embellishments or ornamentations
or are they REQUIRED in the rendition of certain phrases?
(My guess is the latter)

Which of the 3 categories of microtones I mentioned above are used in
Jazz?  (My guess is all of them)

Could I have some references to recordings by top musicians who have
employed such inflexions?

Thank you!

Sincerely,
Arvindh

ps: I am a graduate student at CCRMA, Stanford, investigating
current-day South Indian Classical Music using digital signal processing
techniques. I am also a violin player, South Indian style, for the last 20 
years. Some of my results are published and available at:

   http://www-ccrma.stanford.edu/~arvindh/cmt/

<html><a 
href="http://www-ccrma.stanford.edu/~arvindh/cmt/";>http://www-ccrma.stanford.edu/~arvindh/cmt/</a></html>







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