The "Hexachord" or "Hexachordum" (lat: Hexa=Six Chordum=String -> six string) was a way of thinking and writing music mostly used by J.S Bach.
The normal music theory is based on a system of 7 notes. If u take C major for example it is c, d, e, f, g, a, b.
The Hexahordum uses only 6 notes of that scale:
C Hex: c, d, e, f, g, a
so you get two tridas: C major and D minor
or if u take only 2 notes at a time you have 4 steps:
c/e (ut)
d/f (re)
e/g (mi)
f/a (fa)
these four steps have special names (i cant remember them at the moment - but i will gather some info on the hexachordum asap)
the whole notation system was based on the hexachordum - the reason why our clefs have 5 lines and not 4 or 6 is the Hexachord. Try to write the C hex on a normal treble clef
(remember - c, d, e, f, g, a) and now flip the sheet of paper around by 180 degrees - what you see is: the C hex! only one octave higher (or lower - depends on where u started)
to extend the c hexa u have to use the 4 steps with Major, Minor, Diminished and Augmented:
c/e (ut) -> C major (ceg)
d/f (re) -> D minor (dfa)
-(normal c hex)
e/g (mi) -> e dim (ega#)
f/a (fa) -> f aug (fac#)
-(c hexa extended upwards)
the extended hexa comes into play when u leave out the first note (the c) and you start to play off the d
so you have to add the a sharp and the c sharp -> but the c sharpo has to be played ona octave lower - else it sounds very orietal:
ex: d, e, f, g, a, a#, c#(one octave lower), a#, a, g, f, e, d -> and that is? .. the very first notes of inventio no 4 by JS Bach
So much for the note system. But that is not all by far - baroque music is pure mathemathic. Like medieval cathedrals this music is "constructed" accordin got the "old way of thinking (hexachordum)". Vital parts are the fibunacci row ( 1, 1, 3, 5, 8, 13, 21, etc) which indicates along with the "olden cut" (minorem:majorem = majorem:whole) the usical changes within a song (chages at measure 13, 21, 34, etc) and so on - a very wide field and it would probably take me days to explain it.
This system has been lost for a very long time - a good friend of mine and tutor at the Salzburg Mozartheum (austria), Walter Haberl, has done intensive (up to 14 hours per day!) research wirk on that topic - and now, after 6 years, he has decrypted the Hexachordum!
Now all the things that were unclear in bachs music are extremely logical if you know about the Hexachord. It is an extremely fascinating system!
-=[Azrael]=-
(hope i didnt confuse you too much)
[FONT=Times New Roman]Holiness is in right action and courage on behalf of those who cannot defend themselves. What you decide to do every day makes you a good person... or not.[/FONT][br][br]