natural minor – NYU Music Experience Design Lab

The infamous saxophone riff in “Careless Whisper” is one of the most infectious earworms in musical history. Love it or hate it, there is no getting it out of your head. In honor of the late George Michael, let’s take a look at what makes it work.

Play the riff yourself using your computer keyboard!

Press these keys to get the riff:
So why is the riff so impossible to forget? Its melodic structure certainly jumps right out at you. The first three phrases are descending lines spelling out chords using similar rhythms. The fourth phrase is an ascending line running up a scale, using a very different rhythm.

First let’s take a closer look at those rhythms. The first three phrases are heavily syncopated. After the downbeats, every single note in each pattern falls on a weak beat. The fourth phrase is less syncopated; it’s a predictable pattern of eighth notes. But because your ear has become used to the pattern of the first three phrases, the straighter rhythm in the fourth one feels more “syncopated” because it defies your expectation.

Now let’s consider the harmonic content. The left diagram below shows the D natural minor scale on the chromatic circle. The right diagram shows it on the circle of fifths. Scale tones have a white background, while non-scale tones are greyed out.

Three of the four phrases in the “Careless Whisper” riff are arpeggios, the notes from a chord played one at a time. Here’s how you make the chords.

Take the D natural minor scale. Start on the root (D). Skip the second (E) and land on the third (F). Skip the fourth (G) and land on the fifth (A). Skip the sixth (B-flat) and land on the seventh (C). Finally, skip the root (D) and land on the ninth (E). These pitches – D, F, A, C, and E – make a D minor 9 (Dm9) chord. Now look at the first bar of the sax riff. All the pitches in D minor 9 are there except for C.
If you do the same process, but starting on G, you get the pitches G, B-flat, D, F, A, C, which make up a G minor 11 chord. The second phrase has most of those pitches.
Do the same process starting on B-flat, and you get B-flat, D, F, and A, making a B-flat major 7 (B♭maj7) chord. The third phrase has all of these pitches.

The fourth phrase is different from the others. Rather than outlining an arpeggio, it runs up the D natural minor scale from A to A. This sequence of pitches (A, B-flat, C, D, E, F, G, A) is also known as the A Phrygian mode. The half-step interval between A and B-flat gives Phrygian its exotic quality.

This riff certainly is catchy. It’s also notoriously corny, and to many people’s ears, quite annoying. Why? Some of it is the timbre. The use of unrestrainedly passionate alto sax through heavy reverb was briefly in vogue in the 1980s, and then fell permanently out of style. To my ears, though, the real problem is the chord progression. In D minor, both Gm11 and B♭maj7 are subdominants, and functionally they’re interchangeable. Jazz musicians like me hear them as being essentially the same chord. It would be hipper to replace the Gm with G7, or the B♭maj7 with B♭7. The A minor in the last bar is weak too; it would be more satisfying to replace the C with C-sharp, to make D harmonic minor. But your mileage may vary.

Enjoy my mashup of this track with “Calabria 2007” by Enur featuring Natasja.

The first song on Kanye West’s Life Of Pablo album, and my favorite so far, is the beautiful, gospel-saturated “Ultralight Beam.” See Kanye and company perform it live on SNL.

The song uses only four chords, but they’re an interesting four: C minor, E-flat major, A-flat major, and G7. To find out why they sound so good together, let’s do a little music theory.

“Ultralight Beam” is in the key of C minor, and three of the four chords come from the C natural minor scale, shown below. Click the image to play the scale in the aQWERTYon (requires Chrome).

To make a chord, start on any scale degree, then skip two degrees clockwise, and then skip another two, and so on. To make C minor, you start on C, then jump to E-flat, and then to G. To make E-flat major, you start on E-flat, then jump to G, and then to B-flat. And to make A-flat major, you start on A-flat, then jump to C, and then to E-flat. Simple enough so far.

The C natural minor scale shares its seven notes with the E-flat major scale:

All we’ve really done here is rotate the circle three slots counterclockwise. All the relationships stay the same, and you can form the same chords in the same way. The two scales are so closely related that if noodle around on C natural minor long enough, it starts just sounding like E-flat major. Try it!

The last of the four chords in “Ultralight Beam” is G7, and to make it, we need a note that isn’t in C natural minor (or E-flat major): the leading tone, B natural. If you take C natural minor and replace B-flat with B natural, you get a new scale: C harmonic minor.

If you make a chord starting on G from C natural minor, you get G minor (G, B-flat, D). The chord sounds fine, and you could use it with the other three above without offending anyone. But if you make the same chord using C harmonic minor, you get G major (G, B, D). This is a much more dramatic and exciting sound. If you add one more chord degree, you get G7 (G, B, D, F), known as the dominant chord in C minor. In the diagram below, the G7 chord is in blue, and C minor is in green.

Feel how much more intensely that B natural pulls to C than B-flat did? That’s what gives the song its drama, and what puts it unambivalently in C minor rather than E-flat major.

“Ultralight Beam” has a nice chord progression, but that isn’t its most distinctive feature. The thing that jumps out most immediately is the unusual beat. Nearly all hip-hop is in 4/4 time, where each measure is subdivided into four beats, and each of those four beats is subdivided into four sixteenth notes. “Ultralight Beam” uses 12/8 time, which was prevalent in the first half of the twentieth century, but is a rarity now. Each measure still has four beats in it, but these beats are subdivided into three beats rather than four.

four-four vs twelve-eight

The track states this rhythm very obliquely. The drum track is comprised almost entirely of silence. The vocals and other instruments skip lightly around the beat. Chance The Rapper’s verse in particular pulls against the meter in all kinds of complex ways.

The song’s structure is unusual too, a wide departure from the standard “verse-hook-verse-hook”.

Ultralight Beam song structure

The intro is six bars long, two bars of ambient voices, four bars over the chord progression. The song proper begins with just the first half of the chorus (known in hip-hop circles as the hook.) Kanye has an eight bar verse, followed by the first full chorus. Kelly Price gets the next eight bar verse. So far, so typical. But then, where you expect the next chorus, The-Dream gets his four-bar verse, followed by Chance The Rapper’s ecstatic sixteen-bar verse. Next is what feels like the last chorus, but that’s followed by Kirk Franklin’s four bar verse, and then a four-bar outtro with just the choir singing haunting single words. It’s strange, but it works. Say what you want about Kanye as a public figure, but as a musician, he is in complete control of his craft.