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Wednesday, May 29, 2019

228. MELODIC IMPROVISATIONAL ROTATIONS IN A PENTACHORD ON ONE OR 3 CHORDS AND AT LEAST TWO OCTAVES

When we say pentachords we mean the pentachords as defined in post 225 (see also post 203  and 214 and 262).

The pentachord is not considered restricted in a single octave, therefore power-5 chords, waves are created as defined in the post 217.

Although we mention here 3 chords (major minor or diminished mainly) as underlying chords, they can be substituted with a single power-5 chord that power-5 chord which is defined by the end-notes of the pentachord. In addition, if we apply the 3 chords mentioned as underlying chords, it need not be the chords contained in the pentachord, but the chords 1-4-5 of the diatonic scale that the (diatonic family) pentachord belongs. For the case of pentachord of the chromatic or enharmonian family more discussion is required.

If the improvisational rotation in  the pentachord

starts from the lower end and ends in it it is called UPPER CYCLIC (NEUTRAL/SAD)
If it starts from the upper end and ends in it it is called LOWER CYCLIC (NEUTRAL  HAPPY)
If it starts from the upper end and ends at the lower end  it is called  DESCENDING (SAD)
If it starts from the lower end and ends at the upper end  it is called ASCENDING (HAPPY)

For such rotational improvisations, string instruments tuned by octaves (strings at the same note but different octave see post 210 about octave tuning) are very convenient.


In addition for every such chord or chord transition we may have a morphological rhythmic pattern E.g. A1 B1 B2 B3 or A1 A2 A3 B1 , which shows how the melodic theme is repeated or varied by translation inversion and rotation-mutation.

We refresh here the enumeration of all 20 pentachords with their chords




ALL 20 PENTACHORDS   (also called vector intervals of  5ths)

All pentachords contain a single power-5 chord that power-5 chord which is defined by the end-notes of the pentachord.

DIATONIC FAMILY
(containing only 2, and 1)

2-2-2-1       Major Lydian    Contains a major chord (known also as Natzi/Zaouil)
2-2-1-2        Major Ionian/Mixolydian    Contains a major chord.(known also as Rast/Mahour)
2-1-2-2       Minor Dorian    Contains a minor chord (known also as Bousselik/Nichavent)
1-2-2-2       Minor Frygian/Aeolian    Contains a minor chord (known also as Qourdi)


CHROMATIC FAMILY
(containing  3 )

1-1-3-2
1-1-2-3
1-3-2-1   Contains a major chord and a diminished chord
1-2-3-1   Contains a minor chord and a diminished chord
1-2-1-3   Contains a minor chord and a diminished chord
1-3-1-2   Contains a major chord and a diminished chord (known also as Hijaz)
3-2-1-1    Contains  a diminished chord
2-3-1-1
3-1-2-1   Contains a major chord and a diminished chord
2-1-3-1   Contains a minor chord and a diminished chord (known also as Nevesser/Nikriz)
3-1-1-2   Contains a major chord (known also as Saz-kar)
2-1-1-3   Contains a minor chord (known also as Samba)


ENHARMONIAN FAMILY
(containing  4 )

1-1-1-4   Contains a minor chord
1-1-4-1
1-4-1-1
4-1-1-1   Contains a major chord