source file: m1546.txt Date: Mon, 05 Oct 1998 23:42:53 -0700 Subject: Re: TUNING digest 1545 From: Kraig Grady --------------248B3466174D8BA7FD61FB05 Content-Type: text/plain; charset=us-ascii; x-mac-type="54455854"; x-mac-creator="4D4F5353" Content-Transfer-Encoding: 7bit > Kraig Grady stated: > > >I am not convinced that two pitches 100 and 101 sounded together > are percieved as 100.5 with a beat rate of 1. First how can this be > meaused. > > This is a standard result in psycho-acoustics. For instance, > there's an extended description and a couple of figures describing it > in Roederer's book (Physics and Psychophysics of Music). > > On page 31 there is a footnote: > > How do we verify that, indeed, the pitch sensation of the resulting > tone does correspond to a tone of frequency f1+delta f/2? This is > accomplished with pitch matching experiments: the subject is > presented alternatively with a reference tone of controllable pitch > and is requested to "zero in" the frequency of the latter until he > senses "equal pitch" with respect to the original tone. > Thanks for the Roederer reference, I've always enjoyed it for those with an older edition the quote is on p.28. So the results of this experiment never vary from person to person. Is it possible that all people undergoing this experiment would tune it to 100.5 or is 100.5 an average. no one picks 100.3 or 100.7? It seems to me that any pitch in-between could be picked with a higher average around 100.5, that the entire range would be equal to the pitch. This is probably something that Scelsi was hearing and attempting to do! It changes our notion of what a pitch is or can be By the way the beat canceling idea kind of goes with stockhausen idea of a "Sonic Trash can" a device that produces the inverse wave causing silence! don't hold your breath! -- Kraig Grady North American Embassy of Anaphoria Island http://www.anaphoria.com --------------248B3466174D8BA7FD61FB05 Content-Type: text/html; charset=us-ascii Content-Transfer-Encoding: 7bit 
Kraig Grady stated:

>I am not convinced that two pitches 100 and 101 sounded together 
are percieved as 100.5 with a beat rate of 1. First how can this be 
meaused.

This is a standard result in psycho-acoustics. For instance,
there's an extended description and a couple of figures describing it 
in Roederer's book (Physics and Psychophysics of Music).

On page 31 there is a footnote: 

How do we verify that, indeed, the pitch sensation of the resulting 
tone does correspond to a tone of frequency f1+delta f/2? This is 
accomplished with pitch matching experiments: the subject is 
presented alternatively with a reference tone of controllable pitch 
and is requested to "zero in" the frequency of the latter until he 
senses "equal pitch" with respect to the original tone.
Thanks for the Roederer reference, I've always enjoyed it for those with an older edition the quote is on p.28. So the results of this experiment never vary from person to person. Is it possible that all people undergoing this experiment would tune it to 100.5 or is 100.5 an average. no one picks 100.3 or 100.7? It seems to me that any pitch in-between could be picked with a higher average around 100.5, that the entire range would be equal to the pitch. This is probably something that Scelsi was hearing and attempting to do! It changes our notion of what a pitch is or can be
 

By the way the beat canceling idea kind of goes with stockhausen idea of a "Sonic Trash can" a device that produces the inverse wave causing silence! don't hold your breath!

--
Kraig Grady
North American Embassy of Anaphoria Island
http://www.anaphoria.com
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