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Music > Music Theory > Re: Inversions ...
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Re: Inversions of 7o and 5+, etc

by "Alain Naigeon" <anaigeon@[EMAIL PROTECTED] > Mar 30, 2008 at 12:08 AM

"flatnine" <martymusic@[EMAIL PROTECTED]
> a écrit dans le message de news: 
f18d98fa-b3c9-4e1c-9be2-9639e84d1a14@[EMAIL PROTECTED]
  = 1 octave in 12 equal parts
2   =  1 octave in 6 equal parts
b3  = 1 octave in 4 equal parts
3   = 1 octave in 3 equal parts
4   = 5 octaves in 12 equal parts
#4  = 1 octave in 2 equal parts
5   = 7 octaves in 12 equal parts
#5  = 2 octaves in 3 equal parts
6   = 3 octaves in 4 equal parts
b7  = 5 octaves in 6 equal parts
7   = 11 octaves in 12 equal parts

If you focus on "what it is", you´ll notice that as you FOLD any of
these intervals to CLOSE POSITION everything ends being b2nds, 2nds,
b3rds, 3rds or #4ths:

((((Or in other words, if you "flip" your attention to the "amount of
parts" instead of the intervals you only can divide equally by 2, by
3, by 4, by 6, or by 12))))


Yes, that's "modulo 12" !

Hope you enjoy.
Martin ****to

I did, so many things can be discovered after a simple question ;-)

-- 

Français     *==>     "Musique renaissance"     <==*     English
               midi - facsimiles - ligatures - mensuration
http://anaigeon.free.fr
| http://www.medieval.org/emfaq/anaigeon/
Alain Naigeon - anaigeon@[EMAIL PROTECTED]
 - Oberhoffen/Moder, France
 




 19 Posts in Topic:
Inversions of 7o and 5+, etc
"Alain Naigeon"  2008-03-27 01:07:50 
Re: Inversions of 7o and 5+, etc
"Tom K." <tk  2008-03-26 22:07:26 
Re: Inversions of 7o and 5+, etc
SleepyHead <simonharph  2008-03-27 03:01:45 
Re: Inversions of 7o and 5+, etc
"Tom K." <tk  2008-03-27 10:09:23 
Re: Inversions of 7o and 5+, etc
"Alain Naigeon"  2008-03-29 23:48:36 
Re: Inversions of 7o and 5+, etc
SleepyHead <simonharph  2008-03-27 03:05:55 
Re: Inversions of 7o and 5+, etc
flatnine <martymusic@[  2008-03-27 06:21:38 
Re: Inversions of 7o and 5+, etc
"Alain Naigeon"  2008-03-30 00:08:11 
Re: Inversions of 7o and 5+, etc
SleepyHead <simonharph  2008-03-28 06:18:10 
Re: Inversions of 7o and 5+, etc
"Tom K." <tk  2008-03-28 11:19:09 
Re: Inversions of 7o and 5+, etc
SleepyHead <simonharph  2008-03-28 06:21:31 
Re: Inversions of 7o and 5+, etc
"Alain Naigeon"  2008-03-30 00:13:56 
Re: Inversions of 7o and 5+, etc
LJS <ljschenck@[EMAIL   2008-03-26 22:06:00 
Re: Inversions of 7o and 5+, etc
"Alain Naigeon"  2008-03-29 01:44:32 
Re: Inversions of 7o and 5+, etc
"Alain Naigeon"  2008-03-29 23:43:42 
Re: Inversions of 7o and 5+, etc
LJS <ljschenck@[EMAIL   2008-03-26 22:09:06 
Re: Inversions of 7o and 5+, etc
LJS <ljschenck@[EMAIL   2008-03-27 09:06:24 
Re: Inversions of 7o and 5+, etc
"Alain Naigeon"  2008-03-30 00:29:41 
Re: Inversions of 7o and 5+, etc
LJS <ljschenck@[EMAIL   2008-03-29 18:43:17 

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tan12V112 Mon Dec 1 15:36:48 CST 2008.