Let us assume that we are improvising a melody strictly inside the diatonic scale.
A general trinity of the music in the diatonic scale is the triad of factors
1) Chromatic dimension (intervals of 2nd/7nth, 1 or 2 semitones etc)
2) Melodic dimension (intervals of 3rd/6th , 3 or 4 semitones etc)
3) Harmonic dimension (intervals of 4th/5th or 8th , 5 or 7 semitones etc)
E.g. we ascend harmonically ,we descend melodically and we change triad of chords from minor or diminished to majors or vice versa chromatically (from 7-3-6 to 1-4-5 chromatically at the chord relations 7-1 and 3-4 )
Let us also assume that when moving from not x1 to note x2 with a waving melodic vector (see post 231) we apply the expanding and contracting waving from the 7 independent melodic themes patterns as in post 231, that as picture are
and
Then we should start from a minimum possible amplitude and intervals (repulsor note ) and end in such one (attractor note) . But in the diatonic scale the minimum interval is a semitone. There are two only poles and positions in the diatonic scale with semitones: The root pair b-c and the pair e-f
Therefor a note which is in one of the two semitones of the diatonic scale will be either the attractor or the repulsor of the melodic motion.
It happens that each of the chords of the diatonic scale has at least one attractor or repaslor which we will cal singular point of the chord. Here is the enumeration of them.
C major c-e-g has singular notes the e and c
D minor d-f-a has singular note the f
E minor e-g-b has singular note the e and b
F major f-a-c has singular notes the f and c
G major g-b-d has singular note the b
A minor a-c-e has singular notes the c and e
B diminished b-d-f has singular notes the b and f.
The above analysis and information helps someone to know where to start waving and were to end waving in melodic themes patters as above.
It is well known that the two poles (duality) of the diatonic scale is the root and dominant. That are 5th apart. Utilizing twoocatvesa lso the duality we describe has the two poles a 5th apart.
Only two chords have only one pole: The Dm and the G. The major chords C and F have both poles and are consecutive in the cycle of 4ths. The same with the minor/diminished chords Bd- Em and Am.
If we want to complement the described here chromatic duality of b-c and e-f in the diatonic scale , it is here where the dominant pair g-a enters. So the trinity are the next 3 pairs of notes and areas of the scale
b-c / e-f / g-a
Of course this trinity in the diatonic scale is not much different than grasping the scale from the triad of major chords 1-4-5 (I-IV-V) or triad of minor chords 3-6-2 (iii-vi-ii).
Another general trinity of the music in the diatonic scale is the triad of factors
Chromatic dimension (intervals of 2nd/7nth, 1 or 2 semitones etc)
Melodic dimension (intervals of 3rd/6th , 3 or 4 semitones etc)
Harmonic dimension (intervals of 4th/5th or 8th , 5 or 7 semitones etc)
Example of a nice melody which utilizes waving ending in such attractor and repulsor notes is the Irish St Anne's Reel
https://www.youtube.com/watch?v=lwllcWC_FL4
A general trinity of the music in the diatonic scale is the triad of factors
1) Chromatic dimension (intervals of 2nd/7nth, 1 or 2 semitones etc)
2) Melodic dimension (intervals of 3rd/6th , 3 or 4 semitones etc)
3) Harmonic dimension (intervals of 4th/5th or 8th , 5 or 7 semitones etc)
E.g. we ascend harmonically ,we descend melodically and we change triad of chords from minor or diminished to majors or vice versa chromatically (from 7-3-6 to 1-4-5 chromatically at the chord relations 7-1 and 3-4 )
Let us also assume that when moving from not x1 to note x2 with a waving melodic vector (see post 231) we apply the expanding and contracting waving from the 7 independent melodic themes patterns as in post 231, that as picture are
and
Then we should start from a minimum possible amplitude and intervals (repulsor note ) and end in such one (attractor note) . But in the diatonic scale the minimum interval is a semitone. There are two only poles and positions in the diatonic scale with semitones: The root pair b-c and the pair e-f
Therefor a note which is in one of the two semitones of the diatonic scale will be either the attractor or the repulsor of the melodic motion.
It happens that each of the chords of the diatonic scale has at least one attractor or repaslor which we will cal singular point of the chord. Here is the enumeration of them.
C major c-e-g has singular notes the e and c
D minor d-f-a has singular note the f
E minor e-g-b has singular note the e and b
F major f-a-c has singular notes the f and c
G major g-b-d has singular note the b
A minor a-c-e has singular notes the c and e
B diminished b-d-f has singular notes the b and f.
The above analysis and information helps someone to know where to start waving and were to end waving in melodic themes patters as above.
It is well known that the two poles (duality) of the diatonic scale is the root and dominant. That are 5th apart. Utilizing twoocatvesa lso the duality we describe has the two poles a 5th apart.
Only two chords have only one pole: The Dm and the G. The major chords C and F have both poles and are consecutive in the cycle of 4ths. The same with the minor/diminished chords Bd- Em and Am.
If we want to complement the described here chromatic duality of b-c and e-f in the diatonic scale , it is here where the dominant pair g-a enters. So the trinity are the next 3 pairs of notes and areas of the scale
b-c / e-f / g-a
Of course this trinity in the diatonic scale is not much different than grasping the scale from the triad of major chords 1-4-5 (I-IV-V) or triad of minor chords 3-6-2 (iii-vi-ii).
Another general trinity of the music in the diatonic scale is the triad of factors
Chromatic dimension (intervals of 2nd/7nth, 1 or 2 semitones etc)
Melodic dimension (intervals of 3rd/6th , 3 or 4 semitones etc)
Harmonic dimension (intervals of 4th/5th or 8th , 5 or 7 semitones etc)
Example of a nice melody which utilizes waving ending in such attractor and repulsor notes is the Irish St Anne's Reel
https://www.youtube.com/watch?v=lwllcWC_FL4
