Figuring Out Melody

We offer:

blogs and videos on the materials and mechanics of melody.
the Figuring Out Melody eBook and Workbook (available for purchase).
the Practical Glossary of Melodic Terms [in development]
the Field Guide to Melodic Figures [in development].
links to articles, books, and websites about melody.
private coaching.

Part II of the eBook gives instructions for setting up a framework for counterpoint, then shows how to embellish that framework to create interesting textures, harmonic tension and release, nuanced cadences, and imitative counterpoint. So why is a workbook necessary?

So glad you asked!

The workbook breaks things down even further than the eBook, starting with basic drills before jumping into broader applications. In addition, the exercises will challenge you to use each skill in a variety of ways—ways you probably wouldn’t think up on your own.

126 exercises; 6 analysis projects; 7 composition projects; scores for 8 inventions and 5 fugues; 185 pages

It’s easy to read the eBooks and feel that you understand everything. Maybe so, but probably not. As wise old Benjamin Franklin once said, “Tell me, and I forget. Show me, and I remember. Involve me, and I learn.”

That’s why I urge you to pick up the workbook! It’s full of exercises, analyses, and projects that will make you try out the skills and apply the concepts. It’s the best way to get involved.

I designed everything in the workbook to make you master mechanics and stretch your imagination. An answer key in the back of the workbook lets you know right away whether you’re on the right track. Besides solutions, there is commentary that explains any “tricky” spots in the exercises.

105 exercises; 8 analysis projects; 8 composition projects; 131 pages

This volume draws on your expertise in solo melody to help you compose professional-sounding counterpoint (two melodies played at the same time) – an essential skill for any composer.

Six chapters cover “counterpoint basic training,” but in a new way. Traditional methods for writing counterpoint are based on intervals. But tonal counterpoint is not based on intervals, it’s based on harmony. Figuring Out Melody is the first method to show how to use chord tones to write counterpoint.

The rest of the book breaks down several of the most sophisticated compositional forms into step-by-step instructions.

In the end, your counterpoint skills will transform all the music you compose: piano music, chamber music, choral music, pop songs, art songs, film scores, EDM, video gaming, and sound design!

This volume covers the basic principles of melodic figuration in a straightforward, practical way.

In Chapter One, you’ll learn a simple way to sketch and revise a melody. You’ll never be stuck for a melodic idea again. You’ll learn how to control melody’s harmonic and metric properties. You’ll learn formulas for making melody sound predictable (straightforward) and indirect. And you’ll discover strategies for balancing the two.

And that’s just in the first three chapters! (12 more to go in this volume)

You’ll also learn how to use “tendency tones” to add expression to your melodies; how to make one melody sound like two people are playing; the trick to working with arpeggio figures; dozens of ways to vary and develop your tunes; a new, foolproof way to modulate, and more!

The violin theme you just heard is the musical depiction of Scheherazade, an alluring, clever, woman who was a masterful storyteller. “Bedtime stories took on a new meaning for Scheherazade. Her husband, the Sultan, had the nasty habit of marrying a woman at night and killing her in the morning. So Scheherazade thought up a plan. Every night she would tell him a story and leave it hanging. 1001 captivating stories later, he decided to keep her.” [from “’Scheherazade,’ 1001 Arabian Nights Retold in a Symphony”] Scheherazade’s story begins with a hypnotic sustained tone, eventually descending predictably and gradually before a sudden dash skyward, starting the whole sequence again, and again, always ending on the same note, which never quite feels like an ending.

[1] The straight line. There are three ways that a melody can move in one direction.

straight-line-melodic-gesture

[2] The wavy line. A wavy line changes direction several times within a tight registral space. In each of the examples above, the span from the highest to the lowest notes is a 4th.

wavy-line-melodic

[3] Big swoops. By “swoop,” I mean a large up and down motion.

swooping melodic gestures

[4] Little loops. A melody makes little loops when it reuses a few adjacent notes in close succession

little-loops-melodic-gestures

[5] Holding still. Many lines that hold still contrast a sustained tone with some sort of motion before or after.

holding-still-melodic-gesture

[6] On and off. Once you get the hang of “perforating” a melody, you’ll won’t believe how many melodies use this technique.

melodic gesture on and off

[7] Traveling patterns. A more common name for “traveling patterns” is a “sequence,” though many sequences are made of longer patterns (over 3 notes).

teraveling-pattern-melodic-gesture

[8] Floor to ceiling. The gap between the high and low registers can be smaller or larger than the octave gap shown here.

floor-to-ceiling-melodic-gesture

Notice that there are three 3-Note Scale figures (3NS) in this excerpt (four, if we include the “torso”—the first three notes—of the Return figure). They each have a different rhythm. This emphasizes the idea that the same figure can produce unlimited gestures, depending on the rhythmic values, number of repeated notes, metric placement, etc.

the 24 Universal Melodic Figures
(the building blocks of melody)

The table is interactive! Click on a figure to see and hear examples.

the 24 universal melodic figures interactive table

the 3-Note Scale

3-note scale melodic figures />

At the heart of the 3-Note Scale lies the most resonant sound in music: the harmonic third. Thirds form the harmonic foundation of music throughout the world. We rely on them to construct chords, contrast emotions, and harmonize songs around a campfire with our friends. What does this have to do with the 3-Note Scale? The 3-Note Scale takes this most crucial element of harmony and turns it into a little melody.

chord tones for c major

“But,” you protest, “it’s so boring. Step-step up; or step-step down. How can I write an interesting melody from such a nothing?”

That’s like asking how so much astounding architecture can arise from combining rectangles, or how so many life forms from the carbon atom. Wherever we look in our universe, we find that the most crucial building blocks are also the most humble.

The excerpts I’ve chosen barely scratch the surface of what the 3-Note Scale can do—the incredible variety of emotions and ideas it can produce. You’ll hear a folk song that captures our common desire for meaning followed by its polar opposite: a cocky, flirtatious strut. Finally, the piano concerto theme feels immensely personal, like something between a dream and a diary entry.

“Blowin’ In the Wind,” by Bob Dylan
blowin-in-the-wind

“Cool,” by the Jonas Brothers
cool Jonas brothers melodic figures
“Piano Concerto #3,” by Sergei Rachmaninoff
Rachmaninoff piano concerto melodic figures

the Auxiliary

the auxiliary melodic figures />
In general use, the term “auxiliary” refers to something that adds to or extends the capabilities of something else. So when you add a printer to a computer, the printer becomes an auxiliary device.

And so it is with the melodic figure dubbed the Auxiliary. We hear its main note, a chord tone, two times: once at the beginning, then again at the end. The add-on note – the auxiliary portion of the figure – is an upper or lower neighbor note.

auxiliary figure demo
“Silent Night,” by Franz Xavier Gruber
silent-night melodic figures
As far as “extending the capabilities” of the chord tone we turn into an auxiliary, take a moment to try to imagine the melodies below with repeated notes rather than the auxiliary tones the composers heard fit to include.

“Bad Romance,” by Lady Gaga
bad-romance melodic figures

“Toreador Song,” by Georges Bizet
toreador melodic figures

the Arpeggio

arpeggio example
To create an arpeggio, we perform the notes of a chord one at a time rather than simultaneously.

Groups of notes written first as a chord, then an arpeggio
chord vs arpeggio

Now there’s no rule that says we must begin at the bottom and run through the notes in order or the top and cascade down. In fact, there are many different patterns you can make with nothing but chord tones. And that’s why we have so many types of arpeggio figures.
But when we do perform the notes of a chord in order without changing direction, we get the simplest of all the arpeggios, the Arpeggio.

“Ring of Fire,” by Johnny Cash
ring of fire figures

“Sesame Street,” by Franz Xavier Gruber
Sesame Street melodic figures

“On the Beautiful Blue Danube,” by Johann Strauss Jr.
danube blue

the Run

run melodic figure example
The word “run” is already in use in music. It either refers to a long scale or a somewhat fancier bit of melodic fluster (sometimes called a “riff.”) At FiguringOutMelody.com, the melodic figure we call the Run is exactly four notes long, and those notes always form a scale.

Of the many ways to use a Run, one easily comes out ahead of the rest. The Run often paints in broad or medium-long strokes. Sometimes these gestures join together to cover a large amount of registral space (as in “Penny Lane”). Other times, they don’t move very far but sway over a secure foundation (as in “As Time Goes By”) But Runs can also have a far nimbler side as we hear in “Wachet Auf.”

“As Time Goes By,” by H. Hupfeld
as time goes by figures

“Overkill,” by Colin Hay
penny-lane

“Wachet Auf, Ruft Uns Die Stimme,” by J.S. Bach
penwachet-auf melodic figures

the Trill/Oscillator

Here’s a case where we have two very similar figures that count as one. (The other instance is the Parkour figures.)

The Trill. Outside of FOM, a trill is a melodic embellishment produced by rapidly alternating two notes a step or semitone apart. And the term trill also applies to the way that speakers of certain languages roll their R’s (always with great gusto). We include it as a melodic figure because so many melodies use a slowed-down version of the alternating stepwise action.

The Oscillator. When we say that something oscillates, we mean that it swings back and forth in a steady motion. If you hope to cool an entire room with a small fan, get one that oscillates. The difference between a Trill and an Oscillator is that every other note in a Trill is a neighbor note, while every other note in an Oscillator is another chord tone.
The three samples here show two possible effects of the Trill. “A Modern Major General” uses the alternating notes to create interest during what is essentially a rap. The Trill figure in “Iron Man” resembles a true embellishment, though of course, slower. The third excerpt is an example of an Oscillator.

“A Modern Major General,” by Gilbert & Sullivan, with new lyrics by Randy Rainbow
modern-major-general melodic figures

“Iron Man,” by Black Sabbath
iron-man melodic figures

“Over the Rainbow,” by Harold Arlen
over-the-rainbow-bridge melodic figures

the Arc

the arch melodic figure model
There are a lot of different types of arpeggio figures. If you hope to keep them straight, watch for two things. First, each type of arpeggio figure has a unique shape. (The one we’re looking at now, is shaped like an arch.) Second, that shape results from calculating the direction of each leap. To produce an Arch, we leap twice in one direction and once in the opposite direction. Or once in one direction, then change direction for the last two leaps.
leap-formula to make an arch
The size of the leaps doesn’t matter, though when all the leaps are roughly the same size (as in the first two figures), we get a more balanced arch.
arch-leap-size
By far, most arch figures equally-proportioned leaps, as reflected in the excerpts below.

“I’ll Fly Away,” by Albert E. Brumley
I’ll Fly Away melodic figures
“Royals,” by Lourde
royals arpeggio figures in melody
“Surprise Symphony,” by Franz Joseph Haydn
surprise-symphony-melodic figures

the 3NP

3NP model
3PN stands for a “3-Note Pentatonic” scale. Or more accurately, a 3-note slice of a pentatonic scale, because as you probably know, pentatonic scales (in either their major or minor versions) contain five notes, not three.
Notice that the pentatonic scale is a little wonky, what with its odd gaps every few notes. (Most “scales” move by step.)
We can divide a pentatonic scale into five different 3-note groups. When we do, four of those groups include one of the gaps illustrated above.
Note the similarities between the 3NP and its more symmetrical cousin, the 3NS (3-Note Scale). Whereas the 3-Note Scale always spans a third from first to last note, the 3NP always spans a 4th.
pentatonic-3-note-scale

“Youngblood,” by 5 Seconds of Summer

“La Donna È Mobile,” from Rigoletto by Giuseppe Verdi
la-don-e-mobile
“Girl from Ipanema,” by Antonio Carlos Jobim
girl-from-impanema

the Pivot

pivot model
To pivot means to swivel or turn; to change direction. Picture a footballer using fancy footwork to drive the ball toward the goal. Don’t just “picture it.” Try to feel its kinetic momentum: moving one direction, then darting off in the opposite direction.

"Up Where We Belong" uses Pivot figures to get us to feel we are at the upper limits of what is possible.

“Up Where We Belong,” by Will Jennings, Buffy Sainte-Marie, and Jack Nitzsche
up-where-we-belong melodic figures

Don't miss the irony as Billy Joel sets the word "honesty" to an evasive melodic gesture.

“Honesty,” by Billy Joel
honesty billy joel melodic figures

It's hard to express melancholy without sounding sentimental. Yet Rachmaninov pulls it off here by starting each Pivot figure as a strong dissonance.

“Adagio,” from Symphony #2 in E minor, by Sergei Rachmaninov
rachmaninov-adagio-theme melodic figures

Little Holy Phillip

little holy philip mpodel
Nature abhors a vacuum. So does melody.

Any figure that ends opens up a gap (especially a leap of a third) invites the next note to fill up the little hole. So in the example below, versions A and B show the most predictable outcome for a melodic figure ending with a small leap. Versions C and D show how this same 3-note link can occur within one figure—namely, the “Little Holy Phillip” (L.H.P.)
filling the gap in the little holy phillip figure

So, about the name. A main principle in melodic figuration is that we make melody by connecting figures together. The end of one figure with the beginning of the next.

Now imagine that we could take a stop-frame video of the melodic motion between figures. Wouldn’t that help explain why some melodies feel continuous and others don’t?

THWANK! Stop imagining. We CAN INDEED observe the ways that figures link up, and no special equipment is required. Just track the steps and leaps to discover us all we need to know.

“Imagine,” by John Lennon
imagine melodic figures

“Harry Potter Theme,” by John Williams
harry-potter-theme melodic figures

“Symphony No.8” II, by Ludwig van Beethoven
beethoven-symphony-8-ii melodic figures

the Return

return model
The Return figure gets its name from its proclivity to return to its starting note, as shown in the example below.

Outcome A below shows the most predictable destination of the Return figure: note #1 = note #5 (with note 5 being the first note of the next figure).

Outcome B shows another (less-) predictable path: note #5 = note #3. In other words, using this second option, the figure “returns” to the “middle” note, counting note #3 as “home.”

outcomes of the return figure

In the first two melodies below, the Return takes the most predictable outcomeas described above (outcome A). But in the third exceprt, the Strauss melody, we the Return doesn’t return. It LEAPS! The Return is one of many figures that is sometimes used for its smooth-as-silk behavior, and other times—when its natural connection is broken—to add a bit of complexity.

“Senorita,” by Shawn Mendez
senorita mlodic figures

“Bohemian Rhapsody,” by Freddie Mercury
bohemian rhapsody melodic figures

“Voices of Spring,” by Johann Strauss, Jr.
voices-of-spring melodic figures

the Crazy Driver

the crazy driver model
While the names of most melodic figures serve as mnemonic devices, “Crazy Driver” one is a contender for the most quirky. How can a melodic figure act like a Crazy Driver? Let me explain.
The most predictable destination of the Crazy Driver—its “5th note”—lies a 3rd above or below the starting note.
how the crazy-driver-gets its name-1

But notice the path it takes to get there. Rather than steering directly toward its goal, the Crazy Driver figure begins with a swerve in the wrong direction! It’s a lot like an automobile driver who can’t seem to turn into a driveway on the right side of the road without first swerving left! That crazy driver!
how the crazy-driver-gets its name-2
And the name still fits when we consider another predictable destination of the Crazy Driver: to return to the original note. Here, the motion of the melody mimics a (distracted? drunk?) driver who can’t manage to drive in a straight line.

The designation “crazy” has absolutely nothing to do with how this figure sounds. There’s hardly a better choice for making smooth, gentle waves, as in the first two examples below. The third example shows quite a different sound, using the Crazy Driver as an ornate pickup to kick off a bit of syncopation.
“Joshua Fit the Battle of Jericho,” a Negro Spiritual
joshua-fit-the-battle melodic figures
“Every Breath You Take,” by Sting every-breath you take melodic figures

“Minuet” from the String Quintet in E Major by Luigi Boccherini
boccherini-minuet melodic figures

the Little Dipper

arpeggio plus model

The bulk of this figure is an arpeggio. The “plus” note is a passing tone or neighbor note, most often added at the end to make a smooth bridge to the upcoming note or figure (though occasionally, the non-chord tone can come at the front).

“Come Sail Away,” by Styx (Dennis DeYoung)
come-sail-away melodic figures

“Ring, Ring the Banjo,” by Stephen Foster
ring-ring-the-banjo melodic figures

“Morning” from Peer Gynt, by Edvard Grieg
morning from Peer Gynt melodic figures

the Parkour

parkour mmodel

The term “Parkour” comes from the French word “parcours,” meaning “the way through,” or “the path.” If you take this to imply “moving along a logical path to find the quickest way from point A to point B,” you’re missing a key element of Parkour the sport. The Parkour practitioner intentionally looks for obstacles to jump, bounce, or scoot over, around, or under. And those who use the barriers to execute the flashiest and most difficult stunts earn greatest respect among their peers.

Melody doesn’t always take the most logical route from point A to point B, either. We can sense a strong gymnastic spirit in the two versions of the Parkour figures illustrated below. In each case, the first and third notes are always chord tones, and there’s a clear and direct route between them. That direct route is indicated by a shadowed notehead.

As you study the Bounce and the Pounce, don’t just try to memorize the formulas. No, no, no! Instead, picture yourself crouching and leaping, or leaping then shuffling your feet to regain your balance.

two-parkour-figures

“My Favorite Things,” by Rogers & Hammerstein
my-favorite-things melodic figures

“I Love You,” by Billie Eilish
i-love-you melodic figures

“Triumphal March,” from Aida, by Giuseppe Verdi
verdi-triumphal-march melodic figures

the Vault

The Vault has two things in common with the two Parkour figures (the Bounce and the Pounce) 1. It’s a 3-note figure that takes an indirect route between the two outer notes, typically chord tones.* and 2. It contains a step and a leap, though not always in that order.
The main difference from the Parkour figures (the Bounce and the Pounce) is that the Vault’s step lies inside the outer notes of the figure.
vault-illustration

“Hush, Little Baby,” by Carolina folk song
Hush Little Baby melodic figures

“Maria,” from West Side Story by Leonard Bernstein
Maria melodic figures

“The Swan,” by Camille Saint-Saens
saint-saens-the-swan

*At least the outside notes are usually two chord tones. Remember, with figuration, we focus on shape, which means that sometimes, chord tones and non-chord tones can get redistributed.

the Roll

the roll melodic figure example
The Roll has two component parts: a 3-Note Scale plus a leap of a 3rd in the opposite direction to the 3-Note Scale. The result is a figure where the first and last note of the Run always match, whether the 3-Note Scale comes at the beginning or end of the figure.

the-roll-melodic figure illustration

“Hava Nagila,” an Hassidic folk tune
hava-nagila melodic figures

“Stand By Me,” by Ben E. King, Jerry Lieber, and Mike Stoller
stand-by-me melodic figures

“The Cancan,” from Orpheus in the Underworld, by Jacques Offenbach
cancan melodic figures

the Double Neighbor

double neighbor model
The Double Neighbor figure gets its name from tabulating the number of non-chord tones present. We hear one “main note”—a chord tone—twice: at the beginning and the end.
double-neighbor-illustration

The two notes in the middle are both neighbor notes—one higher than the chord tone; one lower. This creates a little “illegal” hole in the middle. Why is it illegal? Because one of the primary rules in melody forbids leaping between non-chord tones. But here is an immensely popular figure that does just that! Perhaps this is why the Double Neighbor figure is one of the only patterns that is already universally recognized as a melodic figure? Theorists figured they’d better proactively name one of the only acceptable exceptions to one of their staunchest rules.

“Mona Lisa,” by Nat King Cole
mona-lisa melodic figures

“If I Can’t Have You,” by Shawn Mendes
cant-have-you melodic figures

“Waltz” from the Swan Lake Ballet by Pyotr Il’yich Tchaikovsky
swan-lake-waltz melodic figures

the Double Third

double third model
The Double 3rd figure gets its name from the way it melodicizes a common method for harmonizing a simple scale in thirds. But rather than playing the thirds simultaneously, they are stretched out in time.
double-third-from-simple-scale

“Invention #1,” by Johann Sebastian Bach
invention-1-episode double third figure

“Cherish,” by Terry Kirkman
cherish double neighbor figure

“Sidewalks,” by The Weekend
sidewalks melodic figures

the Pendulum

The pendulum has two notes that move (or “swing”) by step as if swinging from a middle “fixed” note.
pendulum-demo

“Norwegian Wood,” by Lennon & McCartney

norwegian-wood melodic figures

“Eastside,” by Benny Blanco, Halsey, and Khalid Robinson

eastside melodic figures

“Juliet’s Waltz,” by Charles Gounod
juliets-waltz melodic figures

the Leaping Scale

leaping scale model

The Leaping Scale is a 4-note figure made from two elements: a 3-Note Scale plus a leap to a different chord tone. (if the isolated chord tone matched the first note of the figure it would be a Roll.) Either the scale or the leap can come first. The leap can be small or large. And the direction of the leap can match the direction of the scale or contradict it.

leaping scale options

Two factors make the Leaping Scale harmonically vivid. First, the outer notes of the 3-Note Scale are chord tones. And second, the leap occurs between two chord tones. Typically, this means that each Leaping Scale contains a root, third, and fifth.

“Old Town Road,” by Lil’ Naz
old-town-road melodic figures

“Prelude,” from Suite #2, for unaccompanied ‘cello by J.S. Bach, bars 26-31

bach cello suite melodic figures

“The Raiders March,” by John Williams
raiders-march

the Leaping Auxiliary

leaping auxiliary model
The color-coding on the table of 24 common melodic figures shows three main categories of figures: scale, neighbor, and arpeggio. But as you look and listen closely to each of the 24 figures, you’ll hear some scale figures that include one or more leaps; You’ll notice that at least one neighbor figure contains a 3-note scale; And you’ll discover a fair bit of neighbor motion in figures that are mostly arpeggios.

In short, many of the melodic figures on the table are hybrids. But because hybridism is so rampant, there’s not much point in treating it as anything special.

So how do we decide whether to put a melodic figure in one category or another? There are two things to look for. (1) Majority rules. Is most of the figure a scale, neighbor, or arpeggio? and (2) Behavior. Does the figure act as a scale, neighbor, or arpeggio?

The Leaping Auxiliary (L.Aux.) is 3/4 neighbor figure, plus a chordal leap. The auxiliary or the leap may come first or last. The leap can be in any direction relative to the auxiliary. Here are but a few possible combinations.

leaping-auxiliary-options

“Breakdown,” by Tom Petty
tom petty breakdown melodic figures

“Sittin’ on the Dock of the Bay,” by Otis Redding
sittin-on-the-dock-of-the-bay melodic figures

“Pavane,” by Gabriel Fauré

faure-pavane melodic figures

the Pendulum Auxiliary

pendulum auxiliary model

The Pendulum Auxiliary is an amalgamation of two 3-note figures: the Auxiliary and the Pendulum.
pendulum-auxiliary-illustration

“What’s Goin’ On,” by Marvin Gaye, Al Cleveland, and Renaldo Benson
whats-going-on

“Hold Me Now,” by Tom Bailey, Alannah Curie, and Joe Leeway
hold-me-now-pend-aux

“The Hallelujah Chorus,” by George Frideric Handel

hallelujah-chorus-pendulum auxiliary

the Funnel

funnel melodic figure model
The Funnel offers some of the most convincing evidence that composers imagine shapes as we compose. How else can we explain the ever-narrowing series of leaps that make up this figure? Perhaps as a backward extension of the Little Holy Philip? Keep that in mind as you listen to “Someday My Prince Will Come,” where the pattern stretches back even further.

funnel-direction-illustration

We classify the Funnel as an arpeggio because it leaps until it runs out of room, not because it spells any particular harmony. In fact, the Funnel has the most ambiguous harmonic structure of all the figures, which is to say that it doesn’t fit into any particular harmony. Even if we find a way to separate chord tones from non-chord tones in one instance of the Funnel (and good luck with that!), it's not likely to work out the same way in other appearances.

“Someday My Prince Will Come,” by Larry Morey & Frank Churchill
someday-my-prince-will-come melodic figure funnel

“Dreams,” by Stevie Nicks
dreams-stevie-nicks funnel figure

“Great is Thy Faithfulness,” by William Runan and Thomas Chisholm
great-is-thy-faithfulness funnel figure

the Cambiata

cambiata melodic figure model

Most of the names for the 24 Universal Melodic Figures have a mnemonic function. The name tells you something about the figure that not only helps you remember it but use it. Not so with the Cambiata figure. The figure traces back to 17th-century Italy and derives its name from an Italian verb meaning “to change.” If it were clear to anyone what sort of change occurs within this figure, that might end up being helpful. But no such luck. I only use the name Cambiata because that’s what other people call it, which brings up an interesting point about figure names.

The Cambiata is one of two figures that use standardized names. The other figure is the Double Neighbor, which sometimes goes by the name “changing tone” (in English). Why do none of the other 22 melodic figures have names? Likely because they are so ubiquitous that nobody thinks they deserve special recognition.

The behavior that merits special recognition in the Cambiata (and also the Double Neighbor) has to do with the “hole” in the middle of each figure. Music theorists have never known how to explain how a figure that leaps to and from dissonant notes can sound so graceful. So they simply provide guidelines for how to handle it, never bothering to elaborate on the “broken rules.”

cambiata leaps between nonchord tones

We won’t go into the strict guidelines for using the Cambiata in classical styles here. More important is that the attractiveness of this figure comes from the way it goes “too far” (passing its destination) before returning to the intended goal. It’s a routine we’ve encountered in the L.H.P. and the Double Neighbor.

“There Goes My Life,” by Kenny Chesney there-goes-my-life

there-goes-my-life melodic figures

“Cheek to Cheek,” by Irving Berlin

“The Washington Post March,” by John Phillip Sousa

ALT melodic figures

the Zigzag

zigzag melodic figure model
The Zigzag figure changes direction after every note, making it the most indirect way to arrange the notes of a single harmony. Now typically in figuration, the more times a melodic figure changes direction within itself, the more complicated it sounds and feels. This is certainly true of the other two figures that change direction after every note: the Double Neighbor and the Double Third. But for some reason, the Zigzag figure usually makes a melody sound more playful than elaborate.

“Your Smiling Face,” by James Taylor
your-smiling-face melodic figures

“Trumpet Concerto in Eb Major,” III by Franz Joseph Haydn
haydn-trumpet-concerto-eb melodic figures
“Die, Die, Die,” by the Avett Brothers
die-die-die melodic figures

EXERCISE FOR EFFECT #6: EXPRESSIVE MISDIRECTION

If this rhythm template looks familiar, it’s because you already used it for exercise #2. With new instructions, you’ll produce a new melody—or at least a significant variation.

Engineer a hard connection between bars 3 & 4 or bars 4 & 5. Remember, to make a hard (expressive) connection, leap “away” from the 3-Note Scale. If your 3-Note Scale goes up, leap down. If your 3-Note Scale goes down, leap up.

If you’re feeling ambitious, write a second version that makes hard connections between bars 3 & 4 AND bars 4 & 5. Key: F Major. The first notes already establish the key so you are free to begin bar 3 as you wish

3-note scale Beatles exercises PDF Download

3-note scale Beatles exercises MIDI files Download

3-note scale Beatles exercises for PC graphics Download

3-note scale Beatles exercises for Mac graphics Download

EXERCISE FOR EFFECT #5: THE OPEN ROAD

You have three 3-Note Scales to work with for each phrase. Arrange at least two of those 3-Note Scales to stretch out into a scale. Depending on how you connect to the other figure, your scale might be six, seven, or nine notes long.

Key: C major. Start with a 3-Note Scale that uses C-D-E or E-F-G (ascending or descending).

3-note scale Beatles exercises PDF Download

3-note scale Beatles exercises MIDI files Download

3-note scale Beatles exercises for PC graphics Download

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There are two phrases in this exercise. Both open in the same way. You’ll run three 3-note scales in an overlapping sequence. That means that the middle note of each 3-Note Scale becomes the first note of the following 3-Note Scale. Use the examples in the lesson as a model if you have trouble.

Notice the two single pickup notes. (One is a pickup to bar 3; the other to bar 7.) You can match the upcoming note, repeat the previous note, choose some new note, whatever. Experiment! And look for more lessons on pickup notes from FOM.

Just to be clear, in bar 3, you need to spread a 3-note scale across a 4-note rhythm. (You did something similar in exercise #1.) Make sure to try several options before locking into one.

Key: D minor. Start with a 3-Note Scale that uses D-E-F or F-G-A (ascending or descending).

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Each phrase already starts with a 3-Note Scale. To create a “treadmill” effect, repeat the first 3-Note Scale several times in a row. How many times? That’s up to YOU! There are several great solutions. After you stop repeating the initial figure, find a compelling way to finish each phrase.

Key: C major

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General directions.

Each exercise has “ghost notes” that indicate the rhythm for the 3-Note Scales you’ll compose. For example, this:

becomes this:

Begin each exercise with a 3-Note Scale that spans the Root & 3rd or the 3rd & 5th of the home chord of the key. After the first figure, feel free to start your 3-Note Scale on any note you wish. Use your ear. If a 3-Note Scale sounds harsh or wonky, replace it with one that sounds better. Precise (intentional) harmonic treatment is not necessary to make these exercises sound great.

Your 3-Note Scales can ascend or descend.
You can connect to the next 3-Note Scale by step or leap (though some exercises request a specific connection).
Keep working on each exercise until it sounds good enough to play for a fellow musician.

3-note scale Beatles exercises PDF Download

3-note scale Beatles exercises MIDI files Download

3-note scale Beatles exercises for PC graphics Download

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EXERCISES FOR #1: TIME-WARP

In the first melody you write, most of the rhythms have three notes, so you can just plug in a 3-Note Scale, and you’re good to go. But notice the two 7-note rhythms. You’ll have to repeat some notes within the 3-Note Scale. But which ones? Here are just a few common ways to spread a 3-Note Scale over this rhythm.

Key: G major. Start with a 3-Note Scale that uses G-A-B or B-C-D (ascending or descending).

Variation: Put the 3-note rhythms in the upper register and the 7-note rhythms in the lower register. Or vice-versa.

Now for this second melody, you have fewer 3-Note Scales to write. So why not compose at least three different solutions? Using a different strategy each time will make each one unique. Strategy? The variation for the previous exercise gives an excellent example of a strategy.

Key: D major. Start with a 3-Note Scale that uses D-E-F# or F#-G-A (ascending or descending).

EXERCISE FOR EFFECT #2: DRAWING BOUNDARIES

Choose one 3-Note Scale to use for bars 3-4. If your 3-Note Scale ascends in bar 3, make those same three notes descend in bar 4 (or vice-versa). You’ve made an “up & down 3-Note Scale pair.”

Now that you’ve established some “registral boundaries,” it’s time to break them!

At bar 5, start the 3-Note Scale on a note that was not one of the boundary notes in bars 3-4. (It can be a new note—a note that isn’t part of the up & down pair of 3-Note Scales. Or you can start on the middle note of your up & down pair of 3-Note Scales.)

The second phrase (starting in bar 9) works the same way as the first. It’s common for a second phrase to repeat all or most of the first. If you’d rather try something different, variations might include transposing the second phrase (most commonly up or down a step) or writing a new gesture for part or all of the second phrase.

Key: F Major. The first notes already establish the key so you are free to begin bar 3 as you wish.

3-note scale Beatles exercises PDF Download

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Here are some songs contained in the 24 melodic figures table

“Imagine” by John Lennon

“Blowin In the Wind,” by Bob Dylan

“Old Town Road,” by Lil’ Naz

“Harry Potter Theme,” “The Raiders March,” and the “Imperial March,” by John Williams

“There Goes My Life,” by Kenny Chesney

“Senorita” and “If I can’t Have You,” by Shawn Mendez

“Girl from Ipanema,” by Antonio Carlos Jobim

“Toreador Song” from Carmen, by Georges Bizet

“Ring of Fire,” by Johnny Cash

“Cool” by the Jonas Brothers

“Silent Night,” by Franz Xavier Gruber

“Bad Romance,” by Lady Gaga

“Can You Tell Me How to Get to Sesame Street,” by Joe Raposo

“My Favorite Things,” by Rogers & Hammerstein

“Joshua Fit the Battle of Jericho,” a traditional Negro spiritual

“I Love You,” by Billie Eilish

“Up Where We Belong,” by Will Jennings, Buffy Sainte-Marie, and Jack Nitzsche

“Penny Lane,” by Lennon & McCartney

“La Donna È Mobile” frim Rigoletto and the “Triumphal March” from Aida, by Giuseppe Verdi

“As Time Goes By,” by H. Hupfeld

“Every Breath You Take,” by Sting

“Hush, Little Baby,” a Carolina folk song

“I’ll Fly Away,” by Albert E. Brumley

“Royals,” by Lourde

“Youngblood,” by 5 Seconds of Summer

“Honesty,” by Billy Joel

“Bohemian Rhapsody” by Freddie Mercury

“Piano Concerto #3” and “Adagio,” from Symphony #2 in E minor, by Sergei Rachmaninoff

“On the Beautiful Blue Danube” and “Voices of Spring,” by Johann Strauss, Jr.

“Cello Suite #2, Prelude,” “Cello Suite #3, Allemande,” and “Wachet Auf” by J.S. Bach

“Sittin’ on the Dock of the Bay” by Smoky Robinson

“Breakdown,” by Tom Petty

“Pavane,” by Gabriel Fauré

“Knockin’ on Heaven’s Door,” by Bob Dylan

“Iron Man,” by Black Sabbath

“Sidewalks,” by The Weekend

“Boy,” by Charlie Puth

“Juliet’s Waltz,” by Charles Gounod

“Feeling Groovy,” by Paul Simon

“The Cancan” from Orpheus in the Underworld, by Jacques Offenbach

“Hava Nagila,” Hassidic folk tune

“Stand By Me,” by Ben E. King, Jerry Lieber, and Mike Stoller

“Mona Lisa,” by Nat King Cole

“Swan Lake Waltz,” by Pyotr Il’yich Tchaikovsky

“Your Smiling Face,” by James Taylor

“Die, Die, Die,” by Avett Brothers

“Morning” from “Peer Gynt, by Edvard Grieg

“Goodbye Yellow Brick Road,” Elton John

“Cheek to Cheek,” by Irving Berlin

“Washington Post March,” by John Phillip Sousa

“Someday My Prince Will Come,” by Larry Morey and Frank Churchill

“A Modern Major General,” by Gilbert & Sullivan

“This Old Man,” a children’s counting song

“Dreams,” by Stevie Nicks

“Surprise Symphony,” “Gypsy Rondo,” and “Trumpet Concerto in Eb Major,” by Frans Joseph Haydn

“Symphony #3,” “Symphony #6,” and “Symphony No.8,” by Ludwig van Beethoven

“Over the Rainbow,” by Harold Arlen

Each of the 24 Universal Melodic Figures can appear in many different versions. For example, here are just a few ways we might encounter the 3-Note Scale.

simplest-configuration-figure-prototype-description

To keep the table simple, the figures are written as prototypes—something much like the root position of a triad. Each figure on the table starts on the root of C major harmony, without rhythmic variation or repeated notes, with small rather than large leaps, and in ascending order (with one exception).

3-Note Scale Exercises - General directions.

Each exercise has “ghost notes” that indicate the rhythm for the 3-Note Scales you’ll compose. For example, this:
exercise-1-time-warp-a
becomes this:
exercise-1-time-warp-a-example

Begin each exercise with a 3-Note Scale that spans the Root & 3rd or the 3rd & 5th of the home chord of the key. After the first figure, feel free to start your 3-Note Scale on any note you wish. Use your ear. If a 3-Note Scale sounds harsh or wonky, replace it with one that sounds better. Precise (intentional) harmonic treatment is not necessary to make these exercises sound great.

Your 3-Note Scales can ascend or descend.
You can connect to the next 3-Note Scale by step or leap (though some exercises request a specific connection).
Keep working on each exercise until it sounds good enough to play for a fellow musician.

For a printable pdf of all the exercises click here.

For image files (for use on a tablet) click here.

For MIDI files (for use in a DAW or notation program) click here.

Here are three factors that combine to make the music reinforce the meaning of the words in the bridge of “Hard Days Night.”

1) Routine. Both 4-bar phrases use the same pair of 3-Note Scales (G-F#-E; E-F#-G) to set up the final note. The first time through, the phrase ends on F#, the inner note the 3-Note Scale. The F# feels comfortable and secure. But then the second phrase breaks this routine by landing on a foreign note.

2) Register. The note A is the highest in the melody, which as a general rule, flags it as a goal. But it feels it feels audaciously high here because it breaks the boundary set TWICE by G: once as the “ceiling” of the opening gesture of the phrase, and again as the top note in the up & down pair of 3-Note Scales.

3) Rhythm. Hear the overt delay before the word “tight.”

I wouldn’t be a genuine Beatles nerd if I didn’t pull up the song “Piggies” at this point. The main figure in “Piggies” is not the 3-Note Scale, but the Roll. The Roll is a 4-note figure built on 3-Note Scale chassis. The 4th note returns to (or restates) the first note.

3-note scale roll-comparison

“Piggies,” by George Harrison

To me, moving (transposing) each Roll figure down a step doesn’t create the same “confined space” effect that the up & down 3-Note Scale pairs do. I can’t yet put my finger on exactly why. How about you? What do you think?

a-little-help-from-my-friends-first-attempt

The purpose of this variation exercise is to give you a sense for “playing around” with 3-Note Scales, not to produce a masterpiece. “Playing” with melodic building blocks is an essential part of composing. If you’re not happy with many of the melodies you write, could it be because you haven’t yet learned to play? (I don’t mean to sound insulting, but what if I’m right? Let’s see how you feel at the end of the lesson?)

Keep the rhythm of the Beatles’ original song. Use nothing but 3-note scales to write two more variations, much the same as I did in the lesson.

[your first version]

a-little-help blank

[your second version]

a-little-help blank

A note for readers of the Figuring Out Melody eBook

My study of melodic figuration began over 30 years ago. Part of this involved finding, naming, and cataloging figures. As one might expect, that early work would likely need some revision at some point. Surprisingly, all of the categories and names I assigned figures in the eBook still apply, with some slight modifications.
1. My earliest estimate held at 21 figures until just recently. After more extensive archeology during the past two years, that number now stands at 24. The new total is the result of both additions and consolidations.
2. Arpeggio figures now have names.
3. The Similar Leap and Contrary Leap scale figures have been consolidated into one parent figure: the Leaping Scale. However, you will do well to use the original names alongside the parent name.
4. Similarly, the Quasi-dot and Back-kick auxiliary figures have been consolidated into one parent figure: the Leaping Auxiliary.
5. This last point doesn’t manifest in the Table of 24 Common Melodic Figures, but you will notice “unusual metric placements” as you peruse the examples. What do I mean by “unusual metric placements?” In the Figuring Out Melody eBook, all figures begin on a beat. The eBook deals primarily with instrumental music. While finding ways to apply my figuration techniques to vocal music, it became clear that all 24 figures sometimes begin before, on, or after a beat. The simplest way to explain how and why this is so is that lyrics form phrases that coincide with a figure shape.

If you are unclear about what a melodic figure is, I introduce them in other videos and blogs. In particular, you may wish to begin with these:

How deliberate are a composer’s figure choices?

People who can write great melodies possess an intuitive sense for melodic figures, the basic vocabulary of melody. They’re like master improvisers who seem to create endless, effortless streams of new ideas. (I checked, and it’s ok to secretly hate such people.) Here’s a little secret. The improviser’s endless, effortless streams of new ideas are hardly new! Master improvisers draw from pre-existing patterns and reassemble them. So do master songwriters and symphonic composers.

And remember, an unconscious choice is still a choice.

Now, if you cannot currently compose as well as you want to, I can tell you precisely what your #1 problem is. You’re not tapping into your underlying knowledge of the melodic vocabulary. Rather than working with the 24 common figures that everyone else uses, you construct each melody from scratch, writing one or two notes at a time. Not only is this a big waste of time and energy, but the melodic material you create in this way also doesn’t sound “musical.” (And that’s why you don’t like some of your original music.)

Now the good news. Learning the 24 common melodic figure patterns will uncover what lies buried way back in the recesses of your musical subconscious and bring it forward where you can use it. You’ll be able to use figures deliberately, which is fantastic when you get stuck or want to fix a humdrum melody. But even more importantly, it won’t take long for the figure patterns to become automatic responses – unconscious choices. In other words, you’ll work more like a master composer. You’ll rely on a richly-trained intuition most of the time, and shift into a more conscious mode as needed.

the 3-note scale demo

The Director of Figuring Out Melody is Professor David Fuentes. Dr. Fuentes brings over 30 years of teaching experience from institutions that include Berklee College of Music, the University of Iowa, Brandeis University, and Calvin University.

Fuentes left academia to devote full time to composing and taking Figuring Out Melody as far as possible. He composes music for the classical concert stage, theater and musical theater, television, art installations, popular music genres, and the church. A published author and speaker, Fuentes has written and spoken on film music, songwriting, musical theater, vocation and the arts, and the place of music in human flourishing.

You can find samples of his music and writing on his personal website: davidfuentesmusic.com, which also provides a longer bio.

Here is where we’re headed.

The Field Guide to Melodic Figures will begin to appear by summer of 2023, first for free, and eventually as part of a subscription service.
We plan to offer an online course in early 2024.
We plan to identify collaborators tin incorporate FOM with AI applications.
The FOM subscription service will include an online community for feedback and encouragement on each others’ melodies.
Watch for periodic blogs and videos on topics of interest, including spotlight studies of songs and artists of note. (Suggestions and requests welcome!)

the 3-note scale demo

You KNOW you can write better melodies,
and I can show you HOW!

Here’s what readers say:

QUESTIONS? COMMENTS?

General directions.

Figuring Out Melody

You KNOW you can write better melodies, and I can show you HOW!

Here’s what readers say:

QUESTIONS? COMMENTS?

You KNOW you can write better melodies,
and I can show you HOW!