Each melodic theme has temporal layers. E.g. its First layers is from equal duration say quarters.
The 2nd layers is from eighths thus half the duration or double the speed
The 3rd layer is from 16nths thus again half the duration of the previous layers notes or double the speed of the previous layer.
Now at each layers we may have the attribute of harmonic, melodic chromatic iff the corresponding intervals of consecutive notes are 4th or 5th, 3rds or 2nds correspondingly.
1st, 2nd 3rds CHROMATIC VECTORS IN MELODIC AND HARMONIC RELATION AS STRUCTURE OF A TEMPORAL LAYER AS ABOVE PF THE THEMES OF A MELODY.
1st, 2nd 3rds CHROMATIC VECTORS (denoted by e1,e2,e3) are simply very short melodic themes that are chromatic move of a chromatic internal of 2nd and of 1 ot 2 or 3 notes either inside the 7-notes diatonic scale or inside the chromatic 12-notes scale.They have a fixed rhythmic speed of quarters or eights of 16nths etc.
Such melodic themes are the smallest and shortest span in the scale. Each such triplet melodic theme can substitute a note of the simplicial sub-melody.
But there are 2 more categories as follows which are essentially arpeggios!.
1st, 2nd 3rds MELODIC VECTORS (denoted by m1,m2,m3) are simply very short melodic themes that are melodic move of an internal of 3rd or 6th and of 1 ot 2 or 3 notes either inside the 7-notes diatonic scale or inside the chromatic 12-notes scale.
1st, 2nd 3rds HARMONIC VECTORS (denoted by h1,h2,h3) are simply very short melodic themes that are melodic move of an internal of 4th or 5th or 8th and of 1 ot 2 or 3 notes either inside the 7-notes diatonic scale or inside the chromatic 12-notes scale.
