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Friday, April 5, 2019

182. SIMPLE RULES OF INTERVALS FOR COMPOSITION OF BEAUTIFUL MELODIC THEMES

We will formulate rules of combinations of intervals of 1,2,3,4,5,7 semitones  (Intervals of 2 of 3 of 4 or of 5 as it is used to say). Such rules are used to compose beautiful melodic themes or improvise inside a  vector-chord (see also post 159) .


(3,4)
1) Combination of intervals of 3, in othre words of 3 or 4 semitones

We combine the 3+4=7 mostly as it gives arpeggios of minor major chords ans rarely the 3+3=6 and 4+4-8 that give arpeggios of diminished and augmented chords.

We also alternate the 3+4 with the 4+3 as so it  mainly in the chords of a diatonic scale.


(3,4-5)
2) Combination of intervals of 3, in other words of 3 or 4 semitones and intervals of 5 in other words of 7 semitones.

We combine by alternating them around the 5 : 3-5-4 and 4-5-3, 4-5-3-5-4 etc

(3,4-7)
3)  Combination of intervals of 4, in other words of 5 semitones and intervals of 5 in other words of  7 semitones


Similarly for the 7 : 3-7-4 and 4-7-3, 4-7-3-7-4 etc

(5-7)
4)  Combination of intervals of 4, in other words of 5 semitones and intervals of 5 in other words of  7 semitones

We alternate 5 and 7 : 5-7-5 etc

 (5-5)
5)  Combination of intervals of 4, in other words of 5 semitones


We avoid repetitions of 5

6)  (7-7)
Combination of intervals of 5, in other words of 7 semitones

We allow up to 3 repetitions  of 7 7-7 , 7-7-7

(1,2-3,4)
7) Combination of intervals of 3, in other words of 3 or 4 semitones and intervals of 2 in other words of 1 or 2 semitones

We combine 1 freely with 3, 4  1-3, 1-4 as it gives intervals of minor 3 and of 4 that exist in arpeggios of major minor chords.

(1,2-5)
8) Combination of intervals of 4, in other words of 5 semitones and intervals of 2 in other words of 1 or 2 semitones

We  combine only 2 with 5 2+5 =7, 5+2=7  as it gives intervals of 5 that exist in arpeggios of minor and major chords.


(1,2-7)
9) Combination of intervals of 4, in other words of 5 semitones and intervals of 2 in other words of 1 or 2 semitones

We combine freely the 1, 2 with 7  1+8= 2+7=9 as it gives intervals of 6 that exist in arpeggios of (inverted) minor and major chords.

10) (1,2-1,2)

We combine freely 1-2 and 2-2 as it gives intervals of 3 of the major minor chord arpeggios