SVP Notes Index
MAJOR-MINOR INVERSIONS
Text: Subject: Re: [svpvril] New Creed of New Thinking - Many Thanks
Date: Thu, 28 Mar 2002 17:05:19 -0000
From: "Lui Di Martino"
Reply-To: svpvril@yahoogroups.com
To: svpvril@yahoogroups.com
This is also how I see things. Nothing of itself is anything until viccinity and affinity are put in place. Minor transfers to Major, for example, across the Center point of a scale.
Two notes together one way are Major but the same two notes put together the other way are Minor:
B to D is a Major 3rd interval (Bb c D)
D to Bb is a Minor 6th interval (D e f g a Bb)
This table shows how both the Major 3rd and Minor 6th are at the same points either side of the central point represented by the asterisk sign. All inversions 'swing round' this tri-tone point. So a Major 2nd and Minor 7th are also inversions of each other and are at symmetrical points either side of the center. This happens horizontally and vertically. In fact all one has to do to find an inversion is to double the right hand digit of the first ratio then swap the left and right digits across like this:
9:8 = Major 2nd - 8x2 = 16 - swap digits over = 16:9.
This is now the inversion which is seen to be the Minor 7th as below. This table has a swapping over effext across the 45% angles as all symmetrical experiments seem to do.
Interval Inversion
16:15 = Diatonic semi-tone 15:8 = Major 7th
9:8 = Major 2nd 16:9 = Minor 7th (18:16 =9:8)
6:5 = Minor 3rd 5:3 = Major 6th
5:4 = Major 3rd 8:5 = Minor 6th
4:3 = Perfect 4th 3:2 = Perfect 5th
*
3:2 = Perfect 5th 4:3 = Perfect 4th
8:5 = Minor 6th 5:4 = Major 3rd
5:3 = Major 6th 6:5 = Minor 3rd
16:9 = Minor 7th 9:8 = Major 2nd
15:8 = Major 7th 16:15 = Diatonic semi-tone
Getting back to the atom analogy one can see the contraction and expansion qualities in a similar way as being motivated by the symmetrical pulling and dispersing quality of the center point, and the effect is delivered at the 45% angle.
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