Dennis Sandole Polytonal/Extended Scales

When looking at even the most well known scales we still find other scales embedded within them.

B Altered Scale contains a whole tone scale and a Diminished scale giving it an exotic sound.

dennis sandole scale lore

C Diminished scale contains two mixolydian tetrachords. The first being of the root and the second being of the flat 5:

dennis sandole scale lore

We can of course extend scales as we have looked at in Jazz Scale Extensions

dennis sandole scale lore

DENNIS SANDOLE:  Bi tonal scales, polyscales[MULTI] scales concepts/ideas.

Dennis Sandole Scale Lore: Developing Poly/multiple scales. Although being most noted as John Coltrane’s Mentor/Teacher Dennis Sandole was unique in his musical thinking.

Here is an example of a polytonal scale idea:

dennis sandole scale lore

Here we have another  polytonal/multiple scale idea:

dennis sandole scale lore

Here we employ triplets.

dennis sandole scale lore

Below are some “Mixed up” ideas as concepts to get a flow and to syncopate and get a feel for it. These are only exercises but create interest by the way the different scales appear and move.

dennis sandole scale lore

16ths mix #2

dennis sandole scale lore

16ths mix #3

dennis sandole scale lore

Here are some of Dennis Sandole’s own sketches/ideas

dennis sandole scale lore

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23rd Chord Serial Tone- Rows Pt2 [Guitar]

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Below we have the Lennie Tristano #15th Arpeggio.

#15 tristano arpeggio

If we keep adding thirds to a chord we create “TERTIAN” Harmony. In the example below we move up from #15 to 17th to 19th to 21st and finally to 23rd. [Notice that we have used all 12 notes].

23rd chord Tertian harmony example

Below we have 2 “Hexatonic” lines making up one 12 tone 23rd chord line followed by a different 23rd chord line in 16ths.

Hexatonic 23rd chord improvisation example

In the final example we alternate rhythmically by employing triplets in the first 23rd chord line and 16ths in the second 23rd chord line.

Triplets 12 tone 23rd chord lesson and example


chord pair 23rd chord lesson


hexatonic 12 tone serialism line with the 23rd chord


arpeggios and tetrachords using the 23rd chord


23 rd chord serial tone rows odd rhythmic groupings


triplets 23rd chord example


16ths 23rd chord 12tone row jazz guitar lesson



We can make a ‘Quartal” Stack

quartal stack in 23rd chord

Next we have a “Polychordal” stack

polychordal 23rd chord example and music theory lesson

“Polychordal Variation”

polychordal variation with the 23rd chord

We can also stack as “Mirror” Harmony

mirror harmony negative harmony 23rd chord

Lastly we have a “Compound” stack

compound 23rd chord stack

23rd Chords Jazz Improvisation

Lennie Tristano’s Augmented 15th Arpeggio

Screen Shot 2019-10-25 at 17.19.59

Above is the “Classic’ Lennie Tristano superimposed #15 arpeggio for C Major7. The #15 sounds “Correct” because all of the 5ths in the arpeggio are PERFECT 5THS.

Lennie Tristano Cmaj7.Dmaj arpeggios. #11 #15th diagram lesson


23rd chord extension



If we keep stacking 3rds with superimposition and extension we create “Tertian” harmony. So, above a 15th we have a 17th, above that a 19th, above that a 21st and above that a 23rd. Hence a 23rd chord will use all 12 notes.

The 23rd chord example below has a major leaning

major 23rd chord example for music jazz improvisation

This example provides a 23rd chord with a minor leaning

minor 23rd chord jazz improvisation lesson tertian harmony

Here we have a 23rd chord with an augmented leaning

AUGMENTED 23RD CHORD jazz improvisation lesson

Lastly we have a 23rd chord with a diminished  leaning

DIMINISHED 23RD CHORD for jazz improvisation lesson and diagram

Going back to our old friend George Russell and the Lydian Chromatic Concept we become aware of the shifting of tonal gravity and what is available with a 23rd chord that shifts out and how we can manipulate it to create new ideas and avoid cliches. Also going back to our 1st example of Lennie Tritano’s #15th arpeggio we hear how we can exploit the perfect 5ths to make something not right “Sound” right but fresh and new.

Lydian Chromatic Concept LCC

How to create music and improvisation with the 23rd chord

Below is a great example of my personal favourite 23rd chord creating a lovely Tertian Stack. TERTIAN STACK 23rd chord for jazz improvisation lesson and example

This example also reverts back to our 12 tone blog for improvisation and jazz heads/tunes. There are 3 sets of TETRACHORDS. Or 3 sets of 4 note groupings.

23rd chord tetrachords example for jazz improvisation

Next we can take the same 23rd chord pitches and make Hexatonic or 2 groups of 6 from the 23rd chord tertian superimposition.

23rd chord hexatonics for jazz improvisation

Finally we can make 3 note cells to form a 12 tone line from the same tertian 23rd chord extension.

23rd chord 3 note cells 12 tone lesson example for jazz improvisation

23rd chord Improvised line ideas:

Employing 23rd chord outlines in Major, minor, diminished augmented.

Line 1

23rd chord improvised jazz line example lesson

Line 2

jazz fusion 23rd chord improvised line and music theory lesson

Line 3

triplets 23rd chord improvised jazz line and jazz lesson

Line 4

23rd chord improvised line for jazz improvisation lesson

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