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

EXTENDING AN ARPEGGIO TO THE 23RD

23rd chord extension

 

TERTIAN HARMONY

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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The Lydian Chromatic Concept of Tonal Organisation by George Russell

THE LCC BY GEORGE RUSSEL: “Lydian chromatic concept of tonal gravity”.

If we look at the diagram below we see the “Overtone Series” The perfect octave and the perfect 5th. If you can think in terms of perfect 5ths then the LCC will be much easier to understand.

Overton Series

First we start with C Ionian [C Major in Classical western tradition].

c

Next George raises the 4th  forming C Lydian [Raised 4th or#11]

Jazz improvisation Raised 4th or #11 to create C Lydian

Below we see Stacked 3rds in C major [Ionian] and then in C LYDIAN [Hence the f sharp at the top below the a note]

C ionian                                                                 C Lydian [13TH]

Ionian to Lydian 13th example

Below we see George Russel’s TONAL GRAVITY of Stacked 5ths. Notice the flattened 5th in the first bar but the “Perfect 5th” in the second bar. [The second bar creating C Lydian].

Flattened fifth and Perfect With example

Below is the piano layout which one can easily hear tonal gravity across the long span of the piano keyboard. We have the #11 [F#] to create stacked “PERFECT” 5THS” [which again results in C Lydian]

Lydian tonal gravity piano

Below is a layout starting on the lowest F note in order to hear it all in full along the guitar fingerboard. There is also a version in the second bar that moves around with C as the tonic due to lack of span on the guitar fingerboard.

Tonal gravity on guitar fingerboard

If we take the C major 7th chord and look at the C major scale we can see the “Avoid” note. The E note clashes with the F note and the B natural and the F natural produce a Dominant sound. By adding the Perfect fifth  F# there isn’t any “Avoid” notes as displayed in the second bar below.

Major and Lydian and avoid note for sharp 11th

"The interval of a fifth is the building block of tonal gravity, a seven-tone scale created by successive fifths 
establishes the most vertically unified harmonic order whereby the gravity falls down each fifth back to the singular 
Lydian tonic". "Andy Wasserman"

F C G D A E B = ALL PERFECT 5THS = F LYDIAN

“The Lydian Chromatic Scale” The ANSWER TO ANYONE CONFUSED!

 By stacking PERFECT 5ths George Russel creates a chromatic scale

[F] C, G, D, A, E, B, F,C, G, D(E), A(B), E(F), [B(C) = a 12 tone scale.

The Confusion?

But “why” does he skip the interval between the Seventh and Eighth notes in the diagram in his book with the outgoing tonal gravity?

2] The answer is because the outgoing tonal gravity level goes to C# next [not F# for perfect 5ths]. Hence the 1st “Lydian scale” then goes to the 2nd scale “Lydian Augmented” with the raised 5th.

F Lydian chromatic order of tonal gravity for jazz improvisation

ANSWER BELOW IN DIAGRAM FORM

Jazz improvisation  explanation and diagram of the Lydian chromatic concept of Tonal Organisation

BELOW: AS SHOWN IN GEROGE RUSSELLS LCC BOOK

Lydian chromatic concept 12 tonal order of tonal gravity

In the example diagram above we see George Russels “Tonal order” going from numbers 1 to 12.  Numbers 1 to 7 being the Lydian mode.

When we go beyond the 7 notes of the lydian scale and further up the cycle of 5ths things increase in terms of  dissonance.

George Russell terms the scales as”Ingoing” “Semi ingoing” “Semi outgoing”  and “Outgoing” . The more we move to the right of the diagram the more “Outgoing/Dissonant” the scale will sound.

In terms of scale substitution we see a C# and not a D flat as this would be a raised 5th [Augmented 5th] and it would make no sense reading it enharmonically as a D flat as we see in the diagram above and in Georges scales.

GEORGE RUSSEL “VERTICAL” SCALES:

Basic Lydian  [#11]

F Lydian Scale jazz improvisation

This could also be seen as 3rd mode of Melodic Minor

Jazz improvisation Lydian Augmented scale

This could also be seen as 4th mode of the Harmonic Major

Lydian Diminished scale jazz improvisation

This could also be seen as the 4th mode of the Melodic Minor

lydian flat seventh jazz improvisation

This could also be seen as the Whole Tone Scale

Auxilary augmented scale [Whole tone scale]

This could also be seen as Octatonic Whole Half Diminished

Auxilary diminished scale

This could also be seen as Octatonic Half Whole Diminished

Jazz improvisation Auxilary diminished scale

Finally, Horizontal Scales. Notice the B FLAT hence the Major.

Jazz improvisation Horizontal Scales Major,flat 7th,augmented,African American

Finding a parent scale,

From E Flat 7 going to A Flat major 7th we would employ the D Flat Lydian mode due to the G natural or #11 of the D FLAT LYDIAN to modulate to A flat major 7th.

PART 2 Final Analysis

The Lydian Chromatic Scale and best explanation from “Wikipedia”

Russell builds a prototype chromatic scale starting on the Lydian Tonic by stacking fifths, skipping the interval between the seventh and eighth tones. Using C as the Lydian Tonic yields the following 12-note scale with enharmonic respellings:

C, G, D, A, E, B, F♯,C♯, G♯, D♯(E♭), A♯(B♭), E♯(F), B♯(C). Thus the Lydian Chromatic Scale and all its derivatives contain only Pythagorean intervals.

OR

Screen Shot 2019-02-28 at 20.15.35

LYDIAN PENTATONIC ASCENDING SCALE THROUGH THE CYCLE OF 5THS.

Jazz improvisation LYDIAN PENTATONIC ASCENDING SCALE THROUGH THE CYCLE OF 5THS.

 FOR GUITARISTS

As an “Afterthought” for any guitarists here is my fingering always leading with the 1st finger on George Russell “Vertical” scales.

Jazz improviser F Lydian Guitar fingering

Lydian Augmented guitar fingering scale

Lydian Diminished scale guitar fingering

F Lydian falt 7th scale guitar fingering example

Whole tone scale guitar fingering [Auxilary augmented]

Auxilary diminished scale guitar fingering

Auxilary Diminished scale mode Blues

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IN CONCLUSION

It is a good idea to read George Russels most up to date book either from a reference library or purchase. It is a very expensive book to buy though so be warned.
LINKS
Wiki LCC

lcc



Book Cover Picture

INDIAN HARMONIC MINOR GUITAR SCALE RAGA. TEEN TAAL John Mclaughlin “Shakti” LessoN

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INDIAN HARMONIC MINOR GUITAR SCALE RAGA. TEEN TAAL John Mclaughlin “Shakti” Lesson

jazz/fusion guitarist John Mclaughlin builds this Indian “Raga” through the harmonic minor scale creating a “Fusion” style of music. The key to this style and lesson is to build 4 note groupings of 16th notes called “Tetrachords”. In this lesson we use the A harmonic minor Scale and employ strict alternate picking starting on a “Down” stroke.

INDIAN, HARMONIC, MINOR ,GUITAR, SCALE ,RAGA. TEEN ,TAAL, John, Mclaughlin, "Shakti", Lesson, alternate, picking
INDIAN HARMONIC MINOR GUITAR SCALE RAGA. TEEN TAAL John Mclaughlin “Shakti” Lesson

Keep the alternate picking rhythmical and tight by accenting the first note of each 4 note grouping. This way you will know where you are in the bar or rhythmic cycle as for example in Teen Taal.

INDIAN, HARMONIC, MINOR ,GUITAR, SCALE ,RAGA. TEEN ,TAAL, John, Mclaughlin, "Shakti", Lesson, alternate, picking
INDIAN HARMONIC MINOR GUITAR SCALE RAGA. TEEN TAAL John Mclaughlin “Shakti” Lesson

Also, tap your foot and count time:

INDIAN, HARMONIC, MINOR ,GUITAR, SCALE ,RAGA. TEEN ,TAAL, John, Mclaughlin, "Shakti", Lesson, alternate, picking
INDIAN HARMONIC MINOR GUITAR SCALE RAGA. TEEN TAAL John Mclaughlin “Shakti” Lesson

Indian Konokol:

INDIAN, HARMONIC, MINOR ,GUITAR, SCALE ,RAGA. TEEN ,TAAL, John, Mclaughlin, "Shakti", Lesson, alternate, picking
INDIAN HARMONIC MINOR GUITAR SCALE RAGA. TEEN TAAL John Mclaughlin “Shakti” Lesson

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