Tag: negative harmony

Polytonal Scales [Mirror Harmony]

Posted on by Jazz fusion guitar Improvisation lessons and modern music theory

Polytonal and polymodal mirror harmony via scales

Each mode of the major scale has it’s mirror [modal] opposite because the whole diatonic scale system can be symmetrically inverted.

Inverted Symmetrical Reflection. The intervals are the same both in harmonisation and contrary motion.

MIRROR SCALE AND HARMONY

OR:

MIRROR HARMONY SCALES MODES OF MUSIC

Lydian-Locrian=Mirror pair

Ionian-Phrygian=Mirror Pair

Mixolydian-Aeolian=Mirror pair

Dorian-Dorian=Palindromic [Produces the same scale either way].

modessss

MIRROR SCALES

Major scale mirrors

polytonality major scale example
Major Polytonal scales

Polymodality modal mirrors

polymodality music scales
Polymodal scales [Modes]

Hungarian Minor Polytonal mirrors

Hunmgarian minor scales polytonality
Polytonal Hungarian Minor Scales

Polytonality exotic scales

Enigmatic scales and Superlocrian scale lesson
Polytonal Exotic Scales

Polymodality Modes in contrary motion

Polymodal scale example
Polymodal “Contrary Motion” example

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Jazz Scales #1 Extension

Posted on by Jazz fusion guitar Improvisation lessons and modern music theory

How to extend Jazz Modes and Scales:

Going back to our negative harmony web page CLICK we had a scale extension of Ionian and Phrygian.

Scale extensions for jazz 13 note scale

 

Employing our old friends “Tetrachords”  we can build complete 2 octave scales when the octave [or repeated starting note] is missed. In this case the whole tone scale and its transposition builds the scale extension.

16 note jazz scale using tetrachords

TETRACHORD SCALE

 

We can also build 2 octave scales by joining together two “One octave” scales.

jazz scale extensions 14 note scale

 

Many composer like Tcherepnin, Messiaen, Boulez along with more modern improviser/composers like Keith Emerson and Allan Holdsworth have applied this for its rich polytonality, modal expansion and textural counterpoint.

This idea along with Negative/Mirror harmony is really well suited to the piano both in terms of improvisation and composition. If you are looking for originality then there is a whole new world waiting here to be discovered and applied.

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Vincent Persichetti’s book covers this. It is not for everyone so it could be a good idea to borrow a copy from a library.

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