353. THE 8-NOTES SCALE OF NATURAL OVERTONES AT THE 4TH OCTAVE : IN SEMITONES 2-2-2-1-1-2-1-1 OR 2-2-1-2-1-2-1-1 AND ITS CHROMATIC TONALITY

 

THIS SCALE IN THE MODE  1 2 2 2 1 1 2 1

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IS ALSO KNOWN AS THE 8-NOTES Neapolitan Major and Minor mixed

IT OCCURS AS THE 8 OVERTONES 8th-9th-10th-11th-12th-13th-14th-15th-16th AT THE 4TH OCTAVES OF OVERTONES ON ALL BRASS WIND INSTRUMENTS. IT IS  ESPECIALLY MUCH OF USE IN THE BAROQUE NATURAL HORNS AND BAROQUE NATURAL TRUMPET AS WELL AS IN THE BAROQUE AND MODERN FRENCH HORN.

E.g. if the root of the scale is C the harmonics from 8 to 16  are   the notes 

c-d-e-f#-g-g#-a#-b-c

See also https://en.wikipedia.org/wiki/Harmonic_series_(music)

As far as harmony and chords is concerned this 8-notes scale adds to the standard  7-notes diatonic scale  c-d-e-f-g-a-b-c the next major or minor chords

1) e-g#-b = E= 3M

2) d-f#-a=D=2M

3) g-a#-d=Gm=5m 

This harmony but also the blue notes of this 8-notes scale (f#, g#, a#) can be also obtained by

superimposing to th C diatonic scale the two neigboring scales in the wheel by 4ths and the harmonic minor , in other words for the C diatonic it would be the  F diatonic (will give a#) and G diatonic (will give  f#) and the A harmonic minor (will give the g#).

AS ALTERNATIVE ROUNDING

We may round the 8-notes chromatic overtones scale at the 4th octave of the overtones to the notes (in C major root)

c-d-e-f-g-g#-a#-b-c

 2-2-1-2-1-2-1-1

Which is known alaso as inverse Zirafkend: Arabic, Melodic Minor Bebop

Or

Inverse Shostakovich

Or 

JG Octatonic

(See post 227) 

As far as harmony and chords is concerned this 8-notes scale adds to the standard  7-notes diatonic scale  c-d-e-f-g-a-b-c the next major or minor chords

1) e-g#-b = E= 3M

2) g-a#-d=Gm=5m