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Showing posts with label 259. Extensions of the 6-notes Blues scale to four 7-notes scale that keep the 1-1-3 four-notes subscale. Show all posts
Showing posts with label 259. Extensions of the 6-notes Blues scale to four 7-notes scale that keep the 1-1-3 four-notes subscale. Show all posts

Thursday, August 8, 2019

259. Extensions of the 6-notes Blues scale to four 7-notes scale that keep the 1-1-3 four-notes subscale

The Blues 6-notes scale is in semitones intervals the 1-1-3-2-3-2 or 2-1-1-3-2

or in steps of diatonic scale 7-1-1#-3-4#

If we want to tune a portable Celtic harp with levers for sharps it could be repeating a note e.g.

a#-b-c-d#-e#-f-g#-a# or in steps of a 7-notes diatonic scale 6#-7-1-2#-3#-4-5#-6#

If we want to keep the 1-1-3 invariant which is the ancient Greek chromatic tetrahord (4-notes subscale) known as parachromatic tonal  , then the possible extensions to 7 notes are the

1) 1-1-3-1-1-3-2 Which is nothing else than the Byzantine parachromatic scale
It  contains the 5-notes pentachord subscale   2-1-1-3 known as Samba

The Byzantine parachromatic scale is called also inverse Persian or  Purvi Theta scale.

E.g. as steps of a diatonic scale 6-7-1-1#-3-4-4#-6. or in c major a-b-c-c#-e-f-f#-a

If we want to tune a portable Celtic harp with levers for sharps it could be e.g.

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

2) 1-1-3-2-2-1-2 , which contains the 5-notes pentachord subscale   2-1-1-3 known as Samba. It is  made from the samba pentachord and the diatonic tetrachord 2-2-1.

E.g. as steps of a diatonic scale 6-7-1#-2-3-4-4#-6 or in notes of c major a-b-c#-d-e-f-f#-a

3) 1-1-3-2-1-2-2 . Again it contains the the 5-notes pentachord subscale   2-1-1-3 known as Samba

E.g. as steps of a diatonic scale 6-7-1-2-3-4-4#-6 or in notes of c major a-b-c-d-e-f-f#-a

4) 1-1-3-2-3-1-1 , or  as steps of a diatonic scale 7-1-1#-3-4#-6-6#-7 or in notes of c major b-c-c#-e-f-f#-a-a#-b It is as symmetric as the Byzantine (double) parachromatic scale. Actually it is made from the samba pentachord 1-1-3-2  (or  by cyclic permutation 2-1-1-3 ) and its inverse  2-3-1-1.