(this post has not been written completely yet).
Once the composer has determined a chord progression ,there is a simple and nice determination of nice and mesmerizing melodies over the chord progression defined by the overtones of the root of the chord.
E.g. if the underlying chord is Cx , that is a C major with an extension e.g. 6th, or 7nth or 4th etc,
then there is an 8-notes overtone melodic theme by overtones as follows
1 2 3 4 5 6 7
[c ] [c' g ] [c" e g x] [c''']
1 1 5 1 3 5 1
usually x=Bb because 7/4 = 1.75 is about equal to 2^(9/12)=1.681 in which case it gives the 4 notes scale or chord C7 , c e g Bb c. Within one octave probably the scale c d e g bb c (in semitones 2-2-3-3-2) is a mimic of the higher 8 harmonics .
See also acoustic scale https://en.wikipedia.org/wiki/Acoustic_scale
and harmonic series
https://en.wikipedia.org/wiki/Harmonic_series_(music)
12-7--5---4--3------5----(.....12----)
We may repeat the same for the other chords and change slightly only the melodic themes to make a nice over all melody. In string instruments like a guitar this can be played only with harmonics of the strings outside the fretboard. But it is easy to program in a digital instrument like a midi editor.
A very convenient tuning for such melodies is of course the overtones tuning (see post 191 ) and the octaves tuning (see post 210)
Once the composer has determined a chord progression ,there is a simple and nice determination of nice and mesmerizing melodies over the chord progression defined by the overtones of the root of the chord.
E.g. if the underlying chord is Cx , that is a C major with an extension e.g. 6th, or 7nth or 4th etc,
then there is an 8-notes overtone melodic theme by overtones as follows
1 2 3 4 5 6 7
[c ] [c' g ] [c" e g x] [c''']
1 1 5 1 3 5 1
usually x=Bb because 7/4 = 1.75 is about equal to 2^(9/12)=1.681 in which case it gives the 4 notes scale or chord C7 , c e g Bb c. Within one octave probably the scale c d e g bb c (in semitones 2-2-3-3-2) is a mimic of the higher 8 harmonics .
See also acoustic scale https://en.wikipedia.org/wiki/Acoustic_scale
and harmonic series
https://en.wikipedia.org/wiki/Harmonic_series_(music)
12-7--5---4--3------5----(.....12----)
The primes over c symbolize higher octaves c. The melodic theme is of 8 notes. The x is the extension note of the chord which is placed in the 3rd octave. The brackets symbolize the octaves. As we see the melodic themes is extended over at least 4 octaves. The numbers above the notes symbolize the order of the overtone or harmonic. The 1st row of number below the notes symbolize the position in the chord, the 2nd row the distances in semitones
We may repeat the same for the other chords and change slightly only the melodic themes to make a nice over all melody. In string instruments like a guitar this can be played only with harmonics of the strings outside the fretboard. But it is easy to program in a digital instrument like a midi editor.
A very convenient tuning for such melodies is of course the overtones tuning (see post 191 ) and the octaves tuning (see post 210)
