tonal convergence chart realizations

As the term tonal convergence implies in this text, here we realize the many types of scales into musical sounds, creating lines of a resolving tendency towards a tonic. And as so often happens in creating the American sounds, the group of pitches with which we create our melodic ideas are oftentimes enhanced to create the harmony we often find them. So in many of the examples which follow, we simply apply the melodic pitches to conventional American harmony, attempting to capture as much of the sound and character of the various melodic groups as possible. Click jazz lines for a more complex realization of the convergence possibilities. Click each melodic entry to explore the theory of that group of pitches. Click the description of each entry to explore a broader discussion of the melodic color. Remember that each of the glossary entries each contain four links to it's use in the text. All of the ideas which follow "make the changes."

1a C maj pentatonic V7 ancient color
F G C

1

ovton1.TIF (7586 bytes)

A kind of joyous, American folk sound eh?

2a C minor blues V 7#9 blues
F 7 G 7#9 C 7

2

Using any kind of blues anywhere in American music is rarely if ever out of place, if it is tastefully placed that is.

ovton2.TIF (7624 bytes)

Isn't that the leading tone in bar 6? Tis is indeed.

2a C major blues V 7#9 blues
F 7 G 7 C 7

2a

ovton3.TIF (8150 bytes)

Is any kind of blues idea placed anywhere in American music ever out of place? Well ...

3a C major / Ionian V 7 diatonic mode
D - 7 G 7 C maj 7

3

So, how many cool and important Euro Amer melodies are created from this group of pitches?

ovton4.TIF (7438 bytes)

4a C melodic minor V 7+5 softened color
D Ø 7 G 7+ 5 C - 9

4

Cool color here in that we pick up the augmented triad. So, just the 3rd degree is altered between melodic and major? Yep.

ovton5.TIF (7490 bytes)

5a C Lydian V 7b5 diatonic #4
D 7 G 7 C maj 7#11

5

Using the augmented 4th in the Two chord creates the old time Five of Five motion ( based on chord type ), while adding the Lydian color enhances the tonic to polytonal effect.

ovton6.TIF (7878 bytes)

6a C Lydian b7 V 7b5#9 altered mode
D 7 G 7b5#9 C 7

6

Here a bit of the whole tone color emerges with the lowering of the 7th scale degree by half step to the blue 7th.

ovton7.TIF (8368 bytes)

7a C diminished V 7 common tone
D - 7 G 7 C maj 7

7

Not all that common, using the common tone diminished simply delays the resolution and is a is mostly a jazz thing.

ovton8.TIF (7244 bytes)

8a C chromatic scale altered all 12 pitches
D - 7 G 7 C maj 7

8

Anything from anywhere? The chromatic scale has it all. Here we simply chromatically enhance the arpeggiation of the pitches of each chord.

ovton9.TIF (7532 bytes)

9a Db Lydian sub V 7

parallel motion

D - 9 Db maj9 C maj7

9

Moving by half step into the tonic.

ovton10.TIF (7710 bytes)

10 Db Lydian b7 sub V7 tritone sub
D - 7 Db 9 C maj 7

10

Moving "slightly outside", perhaps the most popular of the dominant chord substitutions.

ovton11.TIF (7772 bytes)

10a Db Lydian b7 sub V 7 altered mode
D -7 G 7b9 C maj7

10

Using the softened Lydian color over the diminished containing dominant 7th b9 chord.

ovton12.TIF (7628 bytes)

10b Db Lydian b7 sub V 7 altered mode
Ab -7 Db 9 C -7

10a

Using Two / Five from Gb to slide into the minor tonality.

ovton13.TIF (8232 bytes)

11 Db whole tone V 7+5b5 augmented color
D -9 Db 7+5 C maj9 11

Simply using the whole tone scale to converge to the tonic pitch C by half step.

ovton14.TIF (7580 bytes)

12 D min pentatonic V 7 ancient color
D - 7 G 7 C maj 7

12

A nice and gentle motion so character of the pentatonic colors, note the 4 / 3 suspension in the line in bars 59 and 60, creating that heartfelt longing sensation that the poets term epic.

ovton15.TIF (7398 bytes)

13 D Dorian V 7 diatonic mode
D - 7 G 7 C maj7

13

Simply thinking diatonically.

ovton16.TIF (7460 bytes)

14 D Aeolian V 7#9 modal coloring
F 7 G 7#9 C maj 7

14

Using the blue 7th to color the line.

ovton1(17).TIF (7418 bytes)

15 D Phrygian V 7#9#5 modal coloring
F 7 G 7+5 C maj7

15

Using the Phrygian color simply rearranges the half steps which brings forth the blue 3rd and 7th.

ovton2.TIF (7684 bytes)

15a D Phrygian V 7#9#5 modal coloring
D - 7 G 7#9 C - 6

15a

Same group into the minor tonality. Note the "darker" C minor 6th chord in bar 76?

ovton3.TIF (7842 bytes)

16 D Locrian V 7b9 modal coloring
D Ø 7 G 7#5 C maj 7

16

Basically C minor / Eb major into C major? Hip to Cole Porter's "Night and Day?"

ovton4.TIF (7502 bytes)

16a D Locrian V 7b9 modal coloring
D Ø 7 G 7b9 C - 9

16a

Same idea into the minor tonality.

ovton5.TIF (7804 bytes)

17 D harmonic minor V 7b5#9 minor coloring
D - 7 G 7b5 C maj 9

17

Simply focusing in on the half steps between 5 and b6 and major 7 / tonic of the harmonic minor color. Adds a bit of the exotic to the line eh?

ovton6.TIF (7386 bytes)

18 D melodic minor V 7b5 minor coloring
D - 7 G 7b5 C maj 9

18

Using the minor / major 7th arpeggio to the b5 of the dominant chord.

ovton7.TIF (7136 bytes)

19 D diminished V 7b9 V 7b9 concept
D Ø 7 G 7b9 C - 9

19

Using the diminished color into the minor tonality.

ovton8.TIF (7906 bytes)

20 D chromatic scale V 7 all 12 pitches
D - 7 G 7 C maj 7

20

Know any other cliche chromatic lines?

ovton9.TIF (7430 bytes)

21 Eb major bVII 7 V 7b9 concept
D - 7 Bb 13 C maj 7 6/9

21

Simply approaching the tonic from below by whole step.

ovton10.TIF (7464 bytes)

21a Eb major bVII 7 V 7b9 concept
F - 7 Bb 13 C maj 7 6/9

21a

Subbing in the diatonic Two chord of Eb major.

ovton11.TIF (7718 bytes)

22 Eb whole tone V 7 +5 augmented triad
D Ø7 G 7+5 C - 9

22

ovton12.TIF (7956 bytes)

23 E Phrygian V 7 diatonic mode
D - 7 G 7 C maj 7

23

Permutating the Phrygian mode in thirds.

ovton13.TIF (7610 bytes)

24 E Lydian b7 III 7 altered mode
D - 7 E 9 C 6/9 #11

24

Getting out there a bit, heading toward the world of polytonality.

ovton14.TIF (7400 bytes)

24a E Lydian b7 III 7 altered mode
B - 7 E 9 C maj 7b5

24a

Subbing in the Two chord normally associated with E dominant 7th chords, we simply use the dominant 9th arpeggio in bar 122 to create a need to converge. Wow, does the b5 of bar 123 disguise the sense of tonic or what?

ovton15.TIF (7550 bytes)

25 F Lydian V 7 diatonic mode
D - 7 G 7 C maj 6/9

25

Simply arpeggiating the F Lydian color to the max.

ovton16.TIF (7560 bytes)

26 F Lydian b7 V 7+5 altered mode
D sus4 G 7+5 C - 7

26

Using the interval of perfect fourths to launch the line, the Eb helps to set up the motion to the minor tonality.

ovton1(33).TIF (7780 bytes)

27 F melodic minor V 7b9 minor coloring
D Ø 7 G 7b9 C - 9

27

Keying in on the Ab, we simply run the melodic minor color in a descending fashion to create the tension.

ovton2.TIF (7718 bytes)

28 F minor 7 V 7b9 minor coloring
D Ø7 G 7b9b5 C - 7

28

Adding the Db is tricky, as it is a half step from the tonic. Here the line is simply scalar in form.

ovton3.TIF (7686 bytes)

29 F whole tone V 7+5 b5 etc. augmented color
D Ø7 G 7+5 C - 9

29

ovton4.TIF (7836 bytes)

30 F diminished V 7b9 V 7b9 concept
D - 7 G 7b9 C maj 7

30

Very vanilla diminished idea into triadic resolution.

ovton5.TIF (7630 bytes)

31 Gb major bII 9 V 7b9 concept
D - 7 Db 9 C maj 7

31

Simply using the parent scale of the tritone sub to create the half step coolness.

ovton6.TIF (7662 bytes)

31a Gb major bII 9 V 7b9 concept
Ab - 7 Db 9 C maj 7#11

31a

Pairing up the tritone sub with it's diatonic Two chord and converging from the polar end of the cycle of 5th's.

ovton7.TIF (7806 bytes)

32 G maj pentatonic V 7 ancient color
D - 7 G 7 C maj 7

32

By simply removing the tritone, so much of the tension goes away.

ovton8.TIF (7284 bytes)

33 G min pentatonic v 7 ancient color
D Ø 7 G - 7 C - 7

33

Back to our musical roots with the ancient minor pentatonic color.

ovton9.TIF (7848 bytes)

34 G Mixolydian V 7 diatonic mode
F maj G 7 C maj 7

34

Simply up then down the scale.

ovton10.TIF (7112 bytes)

35 G Lydian b7 V 7b5 altered mode
D - 7 G 7b5 C maj 9

35

Starting the line with the tension and resolving.

ovton11.TIF (7102 bytes)

36 G minor blues v 7 blues
F - 7 G - 7 C - 7

36

Slipping in the non diatonic blue note b2 ( C# ) of the tonic key into the minor pentatonic color.

ovton12.TIF (7778 bytes)

37 G whole tone V 7 +5b5 etc. augmented color
D -9 G 7#5 C maj7#11

37

Using the augmented color to launch into the polytonal # 11 environment, delaying the resolution a wee bit. Is a part of an advancing players art in simply finding ways to delay the obvious resolutions? To create surprises and curiosity? Look for cool ways to avoid becoming a bit too much of a "master of the obvious" in their expressions? Do we find this in other art forms as well?

ovton13.TIF (7312 bytes)

38 G chromatic V 7 all 12 pitches
D - 7 G 7 C maj 7

38

Is there a easier way to obscure tonal direction and intent than with the chromatic color? And why would we want to do this? Obscure tonal direction and defy the laws of tonal gravity?

ovton14.TIF (7756 bytes)

39 Ab Lydian bVII 7 modal coloring
D Ø 7 Bb 7 C maj 7

39

The b9 to 5 in bars 185 and 186 is a cool and common jazz players way of doing things.

ovton15.TIF (7670 bytes)

39a Ab Lydian bVII 7 modal coloring
F -7 Bb 7 C maj 7

39a

Simply creating a more diatonic Two / Five cell for the Bb dominant chord.

ovton16.TIF (7676 bytes)

40 Ab melodic minor V 7b9 minor coloring
D Ø7 G 7b9 C - 9

40

Using a scalar approach to clarify the melodic minor color.

ovton1(49).TIF (8192 bytes)

41 Ab diminished V 7b9 V 7b9 concept
D Ø 7 G 7b9 C maj 7

41

Setting up the minor tonality then simply not going there. Where is the diminished color diatonically derived from?

ovton2.TIF (7842 bytes)

42 A min. pentatonic V 7 oldest color
D - 7 G 7 C maj7

42

Such a light, non obtrusive sound is the pentatonic grouping n'est pas?

ovton3.TIF (7318 bytes)

43 A Aeolian V 7 diatonic mode
D - 7 G 7 C maj7

43

Relative minor / relative major? Simply creating a four note sequence with the pitches.

ovton4.TIF (7480 bytes)

44 A major III 7 V 7b9 concept
D - 7 E 7 C maj 7

44

A nice surprise eh? Even with just a scalar idea of the converging color.

ovton5.TIF (6966 bytes)

44a A major III 7 V 7b9 concept
B - 7 E 7 C 6/9

44a

Simply subbing in the diatonic Two chord commonly paired with E 7 / A major.

ovton6.TIF (7656 bytes)

45 A whole tone V 7 +5 b5 etc. augmented color
D -11 G 7+5 C maj7

45

Simply running the whole tone scale in two parts.

ovton7.TIF (7376 bytes)

46 Bb Lydian b7 bVII 7 altered mode
D - 7 Bb 7 C maj7

46

Taking advantage of the half step to highlight the leading tone major 7th of our tonic chord.

ovton8.TIF (7616 bytes)

47 B Lydian bII 7 V 7b9 concept
D -9 Db 7 C maj7 47

B Lydian = Cb Lydian, a mode of F# / Gb major.

ovton9.TIF (7912 bytes)

47a B Lydian bII 7 V 7b9 concept
Ab - 9 Db 7 C 6/9#11

47a

Simply subbing in for Two and extending the tonic arpeggio. Does taking the Lydian path from a half step below to converge help prepare the polytonal tonic color?

ovton10.TIF (8492 bytes)

48 B Locrian vii 7 diatonic mode
D - 7 G 7 C maj 7

48

Simply using the diatonic pitches and focusing in on the half step between the 7th degree B and our tonic C.

ovton11.TIF (7476 bytes)

49 B diminished V 7 V 7b9 concept
D Ø 7 G 7b9 C - 11

49

Straight ahead ascending diminished color with a leap down setting up the resolution.

ovton12.TIF (7774 bytes)

50 B whole tone V 7 +5 b5 etc. augmented color
D -6/9 G 7+5 C - 6/9

50

Using an octave leap to help jump start the line, straight ahead descending whole tone scale to One.

ovton13.TIF (7622 bytes)

So, after exploring a bit of these ideas, is it now more true that "anything can go anywhere"? Maybe head to jazz lines for a more artistic realization of the above convergence pathways?

"Silence is a great help to a seeker after truth" Gandhi