Category Archives: FunJazz Piano Lessons

Practice tips, “EZ piano arrangements,” transcriptions, analyses, and in depth study of intriguing jazz topics. These posts will help you walk in the masters’ Footprints and make Giant Steps towards your Freedom Jazz Dance!

building on pentatonics: the major and minor blues scales

The blues as a musical genre is characterized by an ambiguous tonality, constantly oscillating between major and minor¹. In order to render such an ambivalent quality when playing the blues, two distinct (though related) scales are commonly used: the major and the minor blues scales, which quite simply derive from the major and minor pentatonic scales respectively. In each case, a “blue” note is added to the five tones that form the basic major/minor pentatonic sounds. The major and minor blues scales can therefore be considered hexatonic scales, each being comprised of six distinct notes.

From major pentatonic to major blues scale

As presented in this short article, the major pentatonic scale is comprised of scale degrees 1 2 3 5 6. In the key of C for example, that’s C D E G A.

Reflecting the feeling of major-minor ambiguity discussed above, the blue note of choice here is indeed #2 (or, enharmonically, b3): with this addition to the basic tones of the major pentatonic scale, both the augmented second (or, enharmonically, the minor third) and the major third are included in the major blues scale. Note that the blue note creates chromaticism in the scale, dividing the whole-tone interval originally present in the pentatonic between scale degrees 2 and 3 into two semitones. Adhering to widely accepted principles of music notation, we’ll refer to this blue note as #2 in the context of an ascending melody, and as b3 in the context of a descending melody. Hence the formula:

1 2 #2 3 5 6 1 (ascending) / 1 6 5 3 b3 2 1 (descending).

In the key of C, that is:

C major blues scaleC D D# E G A C ascendingC A G E Eb D C descending

From minor pentatonic to minor blues scale

The minor pentatonic scale is comprised of scale degrees 1 b3 4 5 b7. In the key of A, that’s A C D E G. As explained in the article already mentioned above, A minor pentatonic and C major pentatonic are relatives. As such, they both feature all the same notes (the only difference being their “starting point” or root: A in the former case, C in the latter).

Quite simply, each minor blues scale also happens to be the relative minor of its major counterpart, hence featuring all the same notes as the latter, but played starting a minor third below its root:

C major blues scaleC D D# E G A C ascendingC A G E Eb D C descending
A minor blues scale (A is a minor third below C)A C D D# E G A ascendingA G E Eb D C A descending

Notice that the blue note is the same tone in both scales: #2/b3 in the context of the major blues scale becomes #4/b5 in the context of the minor blues scale². So the general formula for the minor blues scale is:

1 b3 4 #4 5 b7 1 (ascending) / 1 b7 5 b5 4 b3 1 (descending).

C minor blues scaleC Eb F F# G Bb C ascendingC Bb G Gb F Eb C descending

Which scale fits what chord?

As I always tell my students: “in music, there are no hard and fast rules” (Mark Levine actually expressed the idea of musical freedom in jazz using this very wording a few decades ago in his Jazz Piano Book). Pretty much anything goes, as long as you’re honest with what you’re hearing in your mind’s ear. But the notion of infinite possibilities can be daunting… Not to worry though: that’s where the pentatonics and the blues scales step in! They’re a natural, fun, versatile way to begin your journey with improvisation, and will surely prove to be instrumental in developing your inner ear and exploring musical ideas. If you’re wondering over what chords these scales can be played, here’s a very general way of thinking about it to get you started:

  • the major pentatonic/blues scale works on dominant (C7, C7(#9)…) and major chords (C6, Cma7) built on the same root as the scale;
  • the minor pentatonic/blues scale works on dominant (C7, C7(#9)…) and minor chords (Cmi, Cmi6, Cmi7…) built on the same root as the scale;
  • the minor pentatonic/blues scale also works on dominant and minor chords built on a root located a fourth above the tonic of the scale (F7, Fmi7) or a fifth above the tonic of the scale (G7, Gmi7).

This means you can play over a whole blues using just one scale! C minor pentatonic/blues indeed sounds great over C7, F7, and G7 (degrees I, IV, and V of a C blues respectively). Play the scale against each of these chords and listen carefully: you’ll notice the different shades it takes…

Conclusion

That’s all there really is to it! A common misconception is to think that there is only one blues scale. Thinking in terms of having two distinct blues scales (which are, in fact, each other’s relatives) at one’s disposal is indeed a simpler and more fruitful approach.

As I mentioned briefly in this post’s opening paragraph, the added notes (#2/b3 in the case of the major blues scale, and #4/b5 in the case of the minor blues scale) are often called “blue notes.” There is quite some controversy in musicological circles around those so called blue notes… But I tend to agree that the ones mentioned here do indeed largely contribute to giving a bluesy feel to your basic pentatonics, and are indeed the most common. So play around with them, and you’ll see… They sound great!

Notes

¹ In “Blue Note and Blue Tonality,” William Tallmadge writes about “neutral” pitches (quarter-tones), and particularly “neutral” thirds in the context of the blues: singers and instrumentalists traditionally inflect the third in the blues scale, which as a result sounds somewhere in between the tempered minor and major thirds (hence the term “neutral”). On many instruments however (such as the piano), it is impossible to play neutral thirds (you’d have to go in between the keys!). Jazz and blues pianists have no choice but to use either minor or major thirds, or to play around with both.

² For further reading on the topics of pentatonic scales and the blues, I suggest referring to chapters 9 and 10 in Mark’s Jazz Theory Book.

References

Levine, Mark. The Jazz Piano Book. Petaluma: Sher Music Co., 1989.

Levine, Mark. “Chapter Nine: Pentatonic Scales.” In The Jazz Theory Book, 193-218. Petaluma: Sher Music Co., 1995.

Levine, Mark. “Chapter Ten: The Blues.” In The Jazz Theory Book, 219-236. Petaluma: Sher Music Co., 1995.

Tallmadge, William. “Blue Note and Blue Tonality.” The Black Perspective in Music, Autumn 1984 (pp. 155-165).


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EZ Blues in A


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🇬🇧/🇺🇸 Practice tips

“EZ Blues in A” is a fun little piece (for beginner/intermediate jazz pianists) that will help you with your shuffle/swing feel and hand independence. Make sure to “play the rests” correctly: lifting your right hand off the keyboard with good timing will greatly contribute to solidifying the sense of groove in your playing. Also pay attention to the points where the harmony changes in the left hand — these transitions have to be smooth and should be practiced at a particularly slow tempo. As an additional exercise, measures 11-12/13-14 (typical blues turnaround/ending) can be taken through all twelve keys using the circle of fifths.

🇫🇷 Conseils pour la pratique

“EZ Blues in A” est une courte pièce (pour pianistes de jazz débutants/intermédiaires) qui vous aidera à améliorer votre swing (rythme shuffle) ainsi que l’indépendance de vos mains. Assurez-vous de “jouer les silences” correctement : relever votre main droite du clavier au bon moment contribuera grandement à solidifier le sens du groove dans votre jeu. Faites également attention aux endroits où l’harmonie change à la main gauche – ces transitions doivent être fluides ! A pratiquer lentement donc… En guise d’exercice supplémentaire, les mesures 11-12/13-14 (turnaround/coda typique du blues) peuvent être reprises dans les douze tons en utilisant le cycle des quintes.


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pentatoniques : les bases

Le terme “pentatonique” nous vient de la langue grecque : le préfixe penta-, “cinq”, et le mot tonos, “ton”, y sont associés pour évoquer l’idée d’une gamme à cinq notes.

Il existe bien entendu de nombreuses possibilités d’échelles de cinq sons au sein du système tempéré (division de l’octave en douze intervalles égaux, dits chromatiques). Nous porterons ici notre attention sur la gamme pentatonique la plus usitée et l’appellerons la pentatonique “globale”¹ (on retrouve en effet cette gamme dans les musiques de nombreuses cultures de par le monde).

[1] La pentatonique globale est fondée sur une succession de quintes ascendantes : do sol ré la mi.

[2] Une fois ces notes réarrangées au sein d’une seule octave, nous avons : do ré mi sol la.

[3] Les intervalles formés par les notes de cette gamme par rapport à sa fondamentale (do) sont :

  • une seconde majeure entre do et ;
  • une tierce majeure entre do et mi ;
  • une quinte juste entre do et sol ;
  • une sixte majeure entre do et la.

Comme tous les intervalles de cette gamme sont majeurs (mis à part la quinte juste), elle est souvent baptisée pentatonique majeure. Ce que j’appelle sa “formule”, qui associe des chiffres arabes² à chacun de ses degrés (contrairement aux chiffres romains communément utilisés pour représenter les accords construits sur chacun des degrés d’une gamme), est la suite de nombres : 1 2 3 5 6.

[4] Exactement comme pour les échelles majeures diatoniques à sept sons (do ré mi fa sol la si), la gamme relative mineure de la pentatonique majeure se construit en jouant toutes les notes formant la pentatonique majeure, en partant une tierce mineure en dessous de la fondamentale de celle-ci : la do ré mi sol.

[5] Les intervalles formés par les notes de cette nouvelle gamme par rapport à sa fondamentale (la) sont :

  • une tierce mineure entre la et do ;
  • une quarte juste entre la et ;
  • une quinte juste entre la et mi ;
  • une septième mineure entre la et sol.

Comme tous les intervalles de cette gamme sont mineurs (sauf la quarte et la quinte), elle est souvent appelée pentatonique mineure. Sa “formule” est : 1 b3 4 5 b7.

En résumé, voici les formules à savoir (accompagnées d’exemples ayant la note do pour tonique dans les deux cas pour faciliter la comparaison) :

Pentatonique majeure1 2 3 5 6do ré mi sol la
Pentatonique mineure1 b3 4 5 b7do mi bémol fa sol si bémol

Notes

¹ Cette terminologie est utilisée par Michael Hewitt dans son livre Musical Scales of the World (voir Hewitt 2013).

² Plus exactement, il s’agit des chiffres communément utilisés en Europe qui nous viennent du système de numérotation indo-arabe.

Références

Hewitt, Michael. “Section 5: Pentatonic Scales.” Dans Musical Scales of the World, 125-134. The Note Tree, 2013.


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pentatonics: the basics

The term “pentatonic” comes from the Greek language: the prefix penta-, “five,” and the word tonos, “tone,” are associated to bring forth the idea of a five-tone scale.

There are of course many five-tone scale possibilities within the twelve-tone equal temperament system. We’ll focus on the most common pentatonic scale here and call it the “global” pentatonic¹ (this particular scale is indeed encountered in the musics of many cultures around the world).

[1] The global pentatonic is based on a succession of ascending fifths: C G D A E.

[2] Reordered within the range of a single octave, we have: C D E G A.

[3] The intervals formed by the tones of this scale relative to its root (C) are as follows:

  • a major second between C and D;
  • a major third between C and E;
  • a perfect fifth between C and G;
  • a major sixth between C and A .

Since all the intervals in this scale are major (except the perfect fifth), it is often referred to as the major pentatonic. What I call the scale’s “formula,” based on Arabic numerals² representing its scale degrees (as opposed to Roman numerals commonly used to represent chords that are built on each scale degree), is: 1 2 3 5 6.

[4] Just like the diatonic seven-note major scale (C D E F G A B), the major pentatonic’s relative minor scale can be built by playing all the notes that comprise the major pentatonic, beginning on the tone located a minor third below the latter scale’s root: A C D E G.

[5] The intervals formed by the tones of this new scale relative to its root (A) are as follows:

  • a minor third between A and C;
  • a perfect fourth between A and D;
  • a perfect fifth between A and E;
  • a minor seventh between A and G.

Since all the intervals in this scale are minor (except the perfect fourth and fifth), it is often called the minor pentatonic. Its “formula” is: 1 b3 4 5 b7.

To sum up, here are the important formulas again below (accompanied by examples with the note C as the tonic in both cases, for ease of comparison):

Major pentatonic1 2 3 5 6C D E G A
Minor pentatonic1 b3 4 5 b7C Eb F G Bb

Notes

¹ This terminology is used by Michael Hewitt in his book Musical Scales of the World (see Hewitt 2013).

² More accurately speaking, these are the numerals commonly used in Europe that stem from the Hindu-Arabic numeral system.

References

Hewitt, Michael. “Section 5: Pentatonic Scales.” In Musical Scales of the World, 125-134. The Note Tree, 2013.


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the “dominant shape” – part 1: major and melodic minor

A multifaceted structure

The “dominant shape” is extremely versatile. It can be used to voice chords that are derived both from major harmony, and from melodic minor harmony. The degrees on which each chord mentioned here functions are indicated in the captions below each example. Some of those chords work better in modal contexts (or when one has a vertical approach on each particular chord within a tonal context), and some also sound fitting in various tonal contexts. Let your ear be your guide!

Transposable formulas (specific arrangements of chord tones and tensions, e.g. “3 13 b7 9”) are also given in the captions for each chord (in each caption, position B is listed first and position A second to be consistent with the music notation). By position A/B, it is meant “dominant shape (voicing used for the V chord) extracted from the major II-V-I progression in position A/B.”

The dominant shape is comprised of the following intervals (listed from the bottom to the top of the voicing): major third, major second, perfect fourth in position A / perfect fourth, minor second, major third in position B.

Use cases

The mixolydian (dominant) chord is listed first, since it is, naturally, the one from which the thought of using the dominant shape to play other chords comes from. Then we have the altered chord, and it is interesting to note that there is a sub V (tritone substitution) relationship between the mixolydian and the altered dominant chords. Eb7 and A7alt, for example, indeed share the same guide tones (G and Db/C#), and their roots are indeed a tritone apart. As a result, one chord can be substituted for the other following the tritone substitution rule.

Works on degrees: V (major), IV (melodic minor).
Position B: 3 13 b7 9; Position A: b7 9 3 13.
Works on degrees: VII (melodic minor).
Position B: b7 #9 3 b13; Position A: 3 b13 b7 #9.

I have then chosen to list the locrian and minor 6/9 chords, since they are also widely used. In fact, a minor II-V-I can be played entirely using the dominant shapes presented here (e.g. Emi7(b5) = E A Bb D, A7alt = G C Db F, Dmi6/9 = F A B E).

Works on degrees: VII (major), VI (melodic minor).
Position B: 1 11 b5 b7; Position A: b5 b7 1 11.
Works on degrees: I (melodic minor), II (major).
Position B: 6 9 b3 5; Position A: b3 5 6 9.

Next up are the lydian and phrygian sounds, which also come in handy, albeit arguably more sporadically than the ones mentioned previously.

Works on degrees: IV (major), bIII (melodic minor).
Position B: #11 7 1 3; Position A: 1 3 #11 7.
Works on degrees: III (major), II (melodic minor).
Position B: 5 1 b9 11; Position A: b9 11 5 1.

The mixolydian b13/aeolian sound is probably the least common of all (moreover, it is rather tricky to find an adequate chord symbol for it, so the space has been left blank).

Works on degrees: V (melodic minor), VI (major),
Position B: 9 5 b13 1; Position A: b13 1 9 5.

Finally, if the same voicing (G C Db F in position B / Db F G C in position A) were to be played over an Ab root (tonic of the Ab major scale), the “avoid note” Db might stand out and create havoc, particularly in a tonal context… In a modal/vertical context however, the voicing can be used and sounds quite unique and intriguing.


Practice tip

Internalize both shapes by taking them through the cycle of fifths (using different roots in the left hand for example; that way you’ll get the different sounds described above). It’s fine if you have to think about the formulas at first, but try and gradually shift towards using your ears and muscle memory exclusively. It is without question a challenging exercise… But trust yourself in the process: it will be way more fun!


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Transcription: “Infant Eyes” – piano solo by Herbie Hancock

The excerpt above is a transcription of Herbie’s short solo on the A section, right before Wayne Shorter states the latter two thirds of the closing melody, coming in on the bridge (B) and going into the final A and coda. The inspired introduction is another spot in this version where the piano is featured. Listen closely to the form throughout: A (9 measures), B (9 measures), A (9 measures). That’s three sections of nine measures each¹. A cool and unusual form…


Notes

¹ And I somehow can’t help but think about Nikola Tesla’s obsession with 3, 6, and 9… These numbers are indeed often seen as representing the non-physical realm. Is there a connection with the idea of the soul of a newborn infant (the eyes are “the window to the soul”) entering the physical world through incarnation?

References

Shorter, Wayne. Speak no Evil. Blue Note/Decca 744042. 2021 (originally released in 1966, recorded 1964).


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arpeggiating altered chords

Piano being a polyphonic instrument, pianists naturally have access to playing several notes on the keyboard at once, which is definitely an advantage when trying to develop harmonic consciousness. Guitarists also have a fretboard suited to playing and hearing both simple and complex chords, and vibraphonists, with two pairs of sticks, are often seen playing four notes at once — a perfect number if you’re focusing on chord tones only! But what about you melodic instrumentalists out there? How does a flute player, a trumpet player, or a double bass player go about hearing a tune’s harmonic framework?

Having taught a few people who play such melodic instruments (as opposed to pianists which typically make up the bulk of my students), I have found that going through a tune arpeggiating its chords is a worthwhile exercise. It gives the player a deeper awareness of the changes, which later enables him or her to be more connected to the tune when improvising (and when playing/embellishing the melody).

Arpeggiating is easily achieved for most chords: play the chord tones first (root, third, fifth, and seventh) then move up to the tensions (ninth, eleventh, and thirteenth)¹. Once you’ve reached the top, just make your way back down from the thirteenth to the root. That works really well for major and minor chords with ninths, elevenths, and thirteenths, and also for most dominant chords with tensions. But altered chords (a specific kind of dominant chord) can be a bit of a challenge because of the inner workings of the altered mode: it indeed appears to have two ninths (one flat and one sharp), and can be apprehended as having two fifths as well (a diminished and an augmented fifth). This can all be quite confusing… So let’s try and see through the fog so that you know what to play when you get to those last four bars of the tune Footprints for example².

First, it is important to know that the altered chord’s parent mode, the altered mode, comes from the melodic minor scale (also called jazz minor). Play C melodic minor for instance (C melodic minor is equivalent to the C major scale with a minor third instead of a major third). Now play all the same notes as in C melodic minor, but starting and ending on the note B. This is the B altered mode (B C D Eb F G A B), mode VII of melodic minor (the altered chord is thus the VIIth degree of melodic minor). Now, let’s attribute scale degrees (notated using Arabic numerals accompanied by flats and sharps when necessary) to the notes of the B altered mode:

B 1 root
C b9 flat ninth
D #9 sharp ninth
Eb (= D#) 3 major third
F b5 / #11 diminished fifth or sharp eleventh
G #5 / b13 augmented fifth or flat thirteenth
A b7 minor seventh

If you look closely, you might notice that we seemingly have two different kinds of thirds in this mode: a minor third (D), and a major third (Eb or, spelled enharmonically, D#). Theoretically, D natural can also function as a #9 on a chord whose root is B. And since we cannot have two thirds in a given chordmode³, scale degrees 3 and #9 can logically be attributed to D# (Eb) and D respectively.

We have now identified three of our chord tones: the root (B), the major third (D#), and the minor seventh (A), which indeed outline a dominant seventh chord in skeletal form. It’s now time to add some flesh to those bare tones! Before moving on to tensions, we have to make a choice for our last chord tone: the fifth. We can either use a diminished fifth (the note F in our example) or an augmented fifth (G).

Altered arpeggio using b5 as a chord tone

If we decide that the b5 will function as the fifth of the altered chord for our purpose of arpeggiating it, we have the notes B, D#, F, and A in the lower part (chord tones) of the arpeggio. The remaining notes of the chordmode are C (b9), D (#9), and G (b13). They form the upper part (tensions) of the arpeggio. And we have:

B D# F A C D G D C A F D# B
1 3 b5 b7 b9 #9 b13 #9 b9 b7 b5 3 1

Notice that the tensions (C, D, and G) form a quartal triad that can be notated C2, D7sus(omit 5), or Gsus depending on its inversion. In this case, there is an absence of eleventh in the chordmode due to the presence of b5.

Altered arpeggio with b5 going through the circle of fifths

Altered arpeggio using #5 as a chord tone

If we decide that the #5 will function as the fifth of the altered chord for our purpose of arpeggiating it, we have the notes B, D#, G, and A in the lower part (chord tones) of the arpeggio. The remaining notes of the chordmode are C (b9), D (#9), and F (#11). They form the upper part (tensions) of the arpeggio. And we now have:

B D# G A C D F D C A G D# B
1 3 #5 b7 b9 #9 #11 #9 b9 b7 #5 3 1

The tensions (C, D, and F) do not form any specific tertial nor quartal triad here, and in this second scenario, there is an absence of thirteenth in the chordmode due to the presence of #5.

Altered arpeggio with #5 going through the circle of fifths

So there you have it: two different ways of arpeggiating altered chords in full (i.e. entire chordmodes with four chord tones and three tensions). Don’t forget to practice both examples a) and b) in all twelve keys! As always, I recommend following cycle five root motion, starting at different points in the cycle every time you pick up your instrument to practice (I’ve started with B7alt in the audio examples above since this is the chord we’ve been concerned with throughout the article).

Finally, to further illustrate my point, allow me to offer a recording of Footprints for your consideration, wherein I used seven-note voicings extensively in the keyboard part (stacked thirds for the most part and the altered voicings discussed above for E7alt and A7alt in the 10th measure of each chorus). The track features soloists Corey Wallace (trombone) and Philippe Lopes De Sa (soprano saxophone), as well as a rhythm section comprised of Akiko Horii (percussion), Hiroshi Fukutomi (electric guitar), and myself (keyboard and keyboard bass). Enjoy!

Notes

¹ These kinds of voicings are often referred to as “stacked thirds” (Levine 2014:3)

² The chords in this four bar progression are F#mi7(b5), F7(#11), E7alt, A7alt resolving to Cmi7. Listen to Wayne Shorter’s version on Adam’s Apple.

³ A chordmode is an indivisible entity that arises when a given chord sounds in unity with the scale from which it derives. “The complete sound of a chord is its corresponding mode within its parent scale.” (Russell 2001)

References

Levine, Mark. “Chapter One: The Menu.” In How to Voice Standards at the Piano: The Menu, 1-22. Petaluma: Sher Music Co., 2014.

Russell, George. “Part One: The Theoretical Foundation of the Lydian Chromatic Concept of Tonal Organization.” In Lydian Chromatic Concept of Tonal Organization – Volume One: The Art and Science of Tonal Gravity, 1-53. Brookline: Concept Publishing Company, 2001.

Shorter, Wayne. Adam’s Apple. Blue Note 7464032. 1987 (originally released in 1966).


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areas of study within the discipline of jazz piano

areas jazz piano
The six areas of study within the field of jazz piano playing.

The foundational level

‘Feel, form, rhythm’, ‘arranging’, and ‘technique’ are what I call the three foundational blocks of jazz piano playing. Without them, you won’t be able to build anything musically solid because your playing will always lack rootedness, depth, and precision. To improve in the area of ‘feel, form, and rhythm’, I recommend immersing yourself in some kind of West African musical tradition¹ (Ewe drumming and dance, djembe and dundun rhythms, etc.).

‘Arranging’ is about mastering different textures and telling an engaging story. The piano has an inherent orchestral quality due to its wide range and polyphonic nature, so there is a lot to cover here, from bass lines, to chord voicings, all the way up to how to interpret and embellish a melody.

As far as ‘technique’ is concerned, some sub-areas are specific to jazz (such as practicing a snippet of music in a variety of keys) and others more peculiar to classical performance (using gravity and proper posture to get a great sound out of the instrument for example). This is why I often encourage my students to work on Hanon’s Virtuoso Pianist in Sixty Exercises, and the Bach Chorales² and Two-Part Inventions at the very least (taking separate classical piano lessons altogether, in addition to the jazz piano lessons, being the ideal scenario).

The heartbeat of jazz

These first three foundational blocks support those that make up the second level in the diagram. ‘Improvisation’, in my opinion, is the heartbeat of jazz. It’s at the very core of the music, which itself is all about individuation (or finding your own voice). At its left, you’ll notice that I represented ‘listening/transcribing’ as an arrow pointing towards ‘improvisation’. That is because the jazz language you will be exposed to, and eventually internalize, will unavoidably feed into your personal style as an improviser (Wernick 2010). The elements of tradition and innovation constantly and dynamically coexist in jazz, very much like the yin and yang components of Taoist philosophy.

Culmination

Finally, all five aforementioned blocks support the final block at the top of the diagram: ‘building a repertoire’. Now the good news is: this task should be relatively effortless if you’ve studied all the other areas conscientiously… This culminating block is all about having fun learning the tunes you like, or even writing, practicing, and performing your own!


Notes

¹ I recall from my time at Berklee that such was also Meshell Ndegeocello’s advice.

² Jazz pianist Fred Hersch (2012) also recommends working on the Chorales, and offers a step by step approach to studying them involving pairs of two voices, then groups of three, and finally all four.

References

Bach, Jean-Sébastien. n.d. 101 Chorals à 4 parties réduction pour orgue ou piano. Paris: Editions Durand.

Bach, Johan Sebastian. 1970. Keyboard Music. New York: Dover Publications, Inc.

Dahn, Luke. 2021. “The Four-Part Chorales of J.S. Bach.” Accessed June 22, 2022. https://www.bach-chorales.com/.

Hanon, Charles-Louis. 1929. Le Pianiste Virtuose en 60 Exercices. Bruxelles / Paris: Schott Frères.

Hersch, Fred. 2012. “Back to Bach: Keys to Jazz Piano Prowess.” Downbeat, September 2012 (pp. 76-77).

Wernick, Forrest. 2010. “The Importance of Language.” Jazzadvice. Posted June 30, 2010. https://www.jazzadvice.com/the-importance-of-language/.


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cycle 5 root motion: an application of the circle of fifths

As most of us musicians and music students know, the circle of fifths is notably helpful when figuring out what key a piece of music is in looking at its key signature. But it also has practical uses and can indeed be seen as the theoretical framework for what is commonly referred to as cycle 5 root motion. Cycle 5 root motion is often used as a way of traveling through all 12 pitches of the keyboard in order to work on anything, from a snippet of music to a whole tune, in all 12 keys. It also underpins the concept of the widely used II-V-I progression.

To go through the cycle, simply begin on any given note, go down a perfect fifth or up a perfect fourth (for a comprehensive review of intervals, click here) to reach the second note. Once there, repeat the process: go down a perfect fifth or up a perfect fourth and reach the third note. Repeat again, and again, and again… Until you are back at your starting point and have completed the cycle!

Cycle 5 root motion: the complete circle of fifths played in the left hand on the piano, starting and ending on the note C.

Oftentimes, you’ll see the circle of fifths starting and finishing on the pitch C (as in the example above). But you can of course begin and end at any point in the cycle. Actually, I recommend starting at different points in the cycle every time you practice something in all 12 keys: repeated transposition can indeed be quite challenging and mentally exhausting, and more than once have I stopped half or a third of the way through the cycle, and forgotten where I left off the next day… So beginning on different pitches every time makes it more likely that you will eventually get through the whole cycle, or at least that you’ll cover some of the more unfamiliar keys!

When you start and end on C, unfamiliar keys (such as Ab, Db, Gb/F#, B…) are located towards “the middle” of the cycle, whereas the more familiar ones (fewer flats or sharps) are at “the begiggning” and at “the end” (in quotation marks because a circle obviously has no beginning, no middle, and no end!). Beginning the cycle on say the pitch Ab is a way to ensure that you’ll venture through unfamiliar territory during practice!


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5-note 2-hand voicings: example of a minor II-V resolving to Ima7

The example above is an exercise to practice some solid sounding 5-note voicings to play over a minor II-V that resolves to a Ima7 chord (just like in the second half of the bridge to All the Things You Are¹). So buckle up and get ready to take this whole thing through the cycle of fifths in all keys! You’ll hopefully end up with a brand new, hip sounding chord or two in your jazz piano toolbox…

The first chord, F#mi7(b5), is built using what Mark Levine (1989) calls the insen pentatonic (B C E F# A – general formula: 1 b2 4 5 b7). You can construct the voicing yourself (without looking at the sheet music) by first playing an E below middle C (as the b7 of the chord, that E respects standard low interval limits), then skipping the F#, playing the A, skipping the B, playing the C, and so forth. In other words, playing every other note in the insen pentatonic scale and sounding all the notes together with both hands. As you can see from the example above, I have notated all five inversions of that chord (first ascending, and then descending all the way back to the inversion chosen initially). I find it very beneficial to practice in that fashion in order to create a “sheet of sound” effect, like McCoy Tyner comping for John Coltrane! Having all five versions of the chord under your belt will also enable you to voice lead as smoothly as possible in any situation, taking into account where you’re coming from and where you’re going harmonically. Lastly, if the tune you’re playing calls for dwelling on a certain chord for a somewhat prolonged amount of time (a few bars), there lies a perfect opportunity for you to explore some of those inversions for the sake of variation…

The second chord is a B7 to which we have added a b9, a #9, and a b13. These tensions form a C2 triad (C D G) which when inverted gives us either two perfect fourths stacked on top of each other (D G C), a Gsus triad (G C D), or a C2 triad (C D G)². Therefore we have an upper structure triad chord (UST) voiced with the aforementioned triad on top (played by the right hand) and the guide tones in the bottom (played by the left hand). To be musically consistent with the phrasing used for F#mi7(b5), I have included several “inversions” here too (to be precise, combinations of inversions of the top triad in the right hand with inversions of the guide tones in the left hand). Taken together, the five notes that make up the UST voicings used to voice this B7 chord also form an insen pentatonic (1 b2 4 5 b7), the tonic of which would be D (D Eb G A C).

The final chord, to which this progression resolves, is Ema7 (with thensions 9 and 13). The building process here is the exact same as for F#mi7(b5) (with the playing and skipping of every other tone in the scale), except that this time, a “regular”³ anhemitonic (containing no semitones) pentatonic is used (B C# D# F# G#). Do you notice how each individual voice outlines the pentatonic scale melodically? This also happened for the first chord of the progression, F#mi7(b5), which we also voiced using the play-and-skip-a-tone method applied to the insen pentatonic. On the contrary, playing through the different inversions of the B7 chord, voiced as an upper structure triad over its guide tones, is more choppy (with wider melodic intervals from one voicing to the next).

So there you have it: three solid sounding, 2-hand voicings for your minor II-V resolving to a major I chord. I hope you’ll enjoy practicing this snippet, and that it will prove to be a valuable addition to your harmonic vocabulary!

Notes

¹ Click here for a transcription (example #2) of guitarist Remo Palmieri soloing over the bridge of All the Things You Are (Gillespie 1993).

² Click here to see these quartal triads (2 and suspended) in root position and their inversions notated in treble clef.

³ In order to differentiate this particular pentatonic scale from other kinds of 5-note scales (such as the insen pentatonic mentioned earlier), I usually refer to it as “global.” After all, it “has been found in use upon every single continent of the planet Earth.” (Hewitt 2013)

References

Gillespie, Dizzy. Groovin’ High. Savoy 152. 1993 (originally released in 1955).

Hewitt, Michael. “Section 5: Pentatonic Scales.” In Musical Scales of the World, 125-134. The Note Tree, 2013.

Levine, Mark. “Chapter 15: Pentatonic Scales.” In The Jazz Piano Book, 219-237. Petaluma: Sher Music Company, 1989.


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