[Smt-talk] Math-music structure of Plato's Dialogues

[JAY RAHN]

Much depends on what one means by explicitly recognizing octave equivalence.

The notion that the 2:1 ratio corresponded to the diapason interval seems to have circulated fairly widely by the time that Aristotle, a student of Plato, wrote that "the form and pattern are a cause, that is to say the statement of the essence genera to which it belongs; such, for instance, in the case of the octave, are the ratio of two to one, and number in general" (Physics II.3). 
http://www.wsu.edu/~dee/GREECE/4CAUSES.HTM 

This is more than 400 years earlier than Ptolemy's account.

Jay Rahn, York University (Toronto)  

--- On Sat, 7/3/10, Martin Braun <nombraun at telia.com> wrote:

From: Martin Braun <nombraun at telia.com>
Subject: Re: [Smt-talk] Math-music structure of Plato's Dialogues
To: Smt-talk at societymusictheory.org
Date: Saturday, July 3, 2010, 8:00 AM

Hello Kyle, and others,

"if I'm not mistaken, Ptolemy was the first to explicitly recognize octave equivalence"

Perhaps Ptolomy was the earliest in survived Greek writings. The earliest survived Chinese writings, in the form of cast bell inscriptions in bronze bell ensembles, are at least 500 years older.

http://www.neuroscience-of-music.se/Zengbells.htm


Martin


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Martin Braun
Neuroscience of Music
S-671 95 Klässbol
Sweden




----- Original Message ----- From: "Kyle adams" <adamsk01 at yahoo.com>
To: "Soderberg, Stephen" <ssod at loc.gov>; <Smt-talk at societymusictheory.org>
Sent: Friday, July 02, 2010 4:41 PM
Subject: Re: [Smt-talk] Math-music structure of Plato's Dialogues 
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