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Function And Position
In order to establish a code that would accurately define both Function and Position,
it was necessary to isolate these 2 parameters,
with a letter code for the Function -
C(OUNTER-DOMINANT),T(ONIC),D(OMINANT),A(NTE 1), and
with a number code for the Position -
-7 -5 -3 -1 +1 +3 +5 +7, symmetrically disposed in the series of fifths.
Positions
The even-numbered notes are disposed as they are in theMusicNovatory Window.
In the natural Key Signature,0is in the center (the note D),
with-2(the note G),-4(the note C),-6(the note F), on the flat side, and
with+2(the note A),+4(the note E),+6(the note B), on the sharp side,
disposed in order ofChrominicism, from the flattest (F) to the sharpest (B).
The odd-numbered chords are builtin theFRAMEs of the corresponding notes, with
-1(the chord of G major), in theFRAME
-2 0(the notes G D),
-3(the chord of C major), in theFRAME
-4 -2(the notes C G),
-5(the chord of F major), in theFRAME
-6 -4(the notes F C), on the flat side, and
+1(the chord of D minor), in theFRAME
0 +2(the notes D A),
+3(the chord of A minor), in theFRAME
+2 +4(the notes A E),
+5(the chord of E minor), in theFRAME
+4 +6(the notes E B), on the sharp side, as well as
7, possibly indicated-7or+7, (theBUCKLE chord),
in theFRAME
+6 -6(the notes B and F), the sharpest and the flattest.
NOTE the 2T(ONIC) chords at-3and+3.
The chord positions are constant in this code,
only the chord functions changing.
Functions
COUNTER-DOMINANT
The Function ofCOUNTER-DOMINANT includes all weak chords of movement -
(major) sixth, major seventh, minor seventh,
even minor seventh flat five if it is not followed by aDOMINANT.
TONIC
The Function ofTONICincludes all chords of rest, followed by a breath, on the Beat of thecell,
often indication of a modulation.
DOMINANT
The Function ofDOMINANT is reserved to chords having the specificDOMINANT shape,
with its strong movement, diminished fifth between the Secondary Notes.
ANTE 1
The Function ofANTE 1 is reserved to chords having the specificANTE 1 shape,
with its strong movement, diminished fifth between the Primary Notes,
only if followed by aDOMINANT.
In theDiatonic Major Mode,
the normal default positions of the functions would be
C-5 T-3 D-1 A+1.
In theChromatic Minor Mode,
the normal default positions of the functions would be
C+1 T+3 D+5 A+7.
The interest of the code will be
in displacing these functions on the fixed positions.
Examples
Circles
Diatonic Major Circle
The Diatonic Major Circle is represented by the positions-3 -5 +7 +5 +3 +1 -1 -3
and in its diatonic state, the first 6 chords are ofC(OUNTER TONIC) function,
C-3 C-5 C+7 C+5 C+3 C+1 D-1 T-3.
InModulation 1, as many chords as possible areDOMINANTIZED,
D-3 D-5 A+7 D+5 D+3 D+1 D-1 T-3.
InModulation 2, eachD(OMINANT) is followed by aT(ONIC),
D-3 T-5 D+7 T+5 D+3 T+1 D-1 T-3.
InModulation 3, eachD(OMINANT), except the first, is preceded by anA(NTE 1),
D-3 T-5 A+7 D+5 T+3 A+1 D-1 T-3.
InModulation 456, the 2 first chords are left diatonic, asC(OUNTER DOMINANT),
C-3 C-5 A+7 D+5 T+3 A+1 D-1 T-3.
NOTE, in the last 2 circles, the presence of both
T+3and
T-3
Chromatic Minor Circle
The Chromatic Minor Circle is represented by the positions+3 +1 -1 -3 -5 +7 +5 +3.
The first half+3 +1 -1 -3is the end of the Diatonic Major Circle, and
the second half-5 +7 +5 +3is the minor cadence with the strongA(NTE 1),
chords 2-5 of Modulation 456 (above).
C+3 C+1 D-1 T-3 C-5 A+7 D+5 T+3.
NOTE, here also, the presence of both
T-3and
T+3.
C+3 C+1 D-1 C-3 C-5 A+7 D+5 T+3.
The major cadence (at-3) usually attenuated with aC(OUNTER) function.
Swings
The TONIC-DOMINANT Swing
We will examine this swing in its "open" position with the chords C6/ G , G7/ C,
especially the Antecedent C6/ G, which has a definiteC(OUNTER) /T(ONIC) function.
The positions-3 -1will evidently remain the same
but it seems advantageous to indicate the functions
C-3 T-1,
which will be followed by the Consequent
D-1 T-3.
All the modulations with the circles
were contrived to be as strong as possible,
but the very light modulation in C6/ G
also deserves to be indicated.
The TONIC-COUNTER Swing
We will also examine this swing in its "open" position with the chords C+7/ F , F6/ C,
especially the Antecedent C+7/ F, which has a definiteC(OUNTER) /T(ONIC) function.
The positions-3 -5will evidently remain the same
but it seems advantageous to indicate the functions
C-3 T-5,
which will be followed by the Consequent
C-5 T-3.
Here again the very light modulation in C+7/ F
also deserves to be indicated.
Progressions
BUCKLE / DOMINANT
When the BUCKLE chord progresses to a DOMINANT of rest,
it will de coded
A+7 T+5,
because theAindicates that the following chord will be aD,
which is confirmed by the position+5,
and theTindicates a modulation to the DOMINANT.
This will also apply to
A+1 T-1.
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