Syncopation

I have a whole lot of explanatory writing about rhythm in the pipeline, and thought it would be good to have a place to link the word “syncopation” to every time it arises. So here we go. Syncopation is to rhythm what dissonance is to harmony. A syncopated rhythm has accents on unexpected beats. In Western classical music, syncopation is usually temporary and eventually “resolves” to simpler rhythms. In the music of the African diaspora, syncopation is a constant, in the same way that unresolved tritones are constant in the blues.

Syncopation is not just a subjective quality of music; you can mathematically define it. Before we do, it helps to visualization a measure of 4/4 time, the amount of time it takes to count “one, two, three, four.”

Beat subdivisions

The more times you have to subdivide the measure to get to a given beat, the weaker that beat is. When you accent weak beats, you get syncopation. Continue reading

Compound musical simples

As I’ve been gathering musical simples, I’ve been trying to figure out the best way to categorize them. There are melodic simples, otherwise known as riffs, hooks, and licks. There are rhythmic simples, otherwise known as beats, claves, and rhythm necklaces. And then there are the simples that combine a beat with a melody. Alex came up with the term “compound simples” for this last group. You might argue that all melodic simples are compound, because they all combine pitches and rhythms. But unless the rhythm stands on its own independent of the pitches, I don’t consider it to be a musical simple.

Here’s the first set of compound simples I’ve transcribed. Click each score to view the interactive Noteflight version.

Queen, “We Will Rock You

We Will Rock You compound simple - notation

The simplest simple of them all. If I needed to teach someone the difference between eighth notes and quarter notes, I’d use the stomp/clap pattern.

The melody is good for introducing the concept of rests, since you have to count your way through the gap between “rock you” and the next “we will.” Continue reading

Musical simples

The NYU Music Experience Design Lab is putting together a new online music theory resource, and I’m writing a lot of the materials. We want to keep everything grounded in real-life musical practice. To that end, we’ve been gathering musical simples: phrases, riffs, and earworms that beginners can learn easily. My criteria for a good musical simple: It should be a piece of music that can stand on its own, and that makes a satisfying loop. It should be catchy, attractive, and (ideally) already familiar. And it should be between one and four measures long. We’re developing a web-based interface that will make it easy to learn a musical simple, play it back, and mutate and adapt it. Each theory concept will come with at least one simple to give it authentic cultural context.

It’s an axiom of constructivism that you learn best when you’re enjoying yourself. This might seem obvious, but it represents a break with music education orthodoxy. Music students too often have to do a lot of tedious drilling before they get to try some real music. Even then, those tunes tend to be nursery rhymes or dorky educational pieces. It makes a certain amount of sense to structure lessons this way: real music is complicated and usually well out of reach of beginners. Unfortunately, too many beginners give up before they make it past the nursery rhyme stage.

Beginner-level music teaching nearly always starts at the atomic level: single pitches, note values, time signatures. It seems logical that the smallest units of music would be the simplest ones. But this is not actually true. Beginners conceive of music at a more intermediate level of abstraction: fragments of tunes, moments of tension and resolution, loops and grooves. Self-taught and informally taught musicians do most of their learning at this level. A three-chord song by Bob Marley or Neil Young is a better entry point than the single notes comprising those three chords and the relationship between them.

Here’s a diagram from my masters thesis, adapted from a paper by Jeanne Bamberger:

Moving up and down the structural ladder

For more discussion of these ideas, see also Bamberger’s “Developing Musical Structures: Going Beyond The Simples.”

It’s hard to resist the temptation to start at the bottom of the abstraction ladder. Even though I’m a self-taught pop musician, I still instinctively “start at the beginning” whenever I set out to explain something to a student, and have to consciously remind myself to find a mid-level explanation first. I try to think in terms of chemistry. Atoms and their component particles are “simpler” than molecules and complex substances. But most of us don’t have direct experience with atoms. We’re familiar with water and air and rocks and metals. We need to think about water before we can understand hydrogen and oxygen. So it is with music. The musical simples are our molecules and substances, mid-level entry points that scaffold learning of atoms and electrons.

I was unconsciously gathering musical simples long before I heard the term. I was looking for stuff that’s easy to learn, but that’s also substantive enough to work as real music. The good news is that there’s plenty of simple music that isn’t lame. The music of the African diaspora is built on riffs and loops, and jazz and rock and pop are full of easy yet richly satisfying musical ideas. By carefully curating a simples collection, we’re hoping to make life easier for anyone who wants to teach or learn music in an engaging and pleasurable way. Here’s an assortment, shown both in standard notation and MIDI piano roll format. Continue reading

Ch-ch-ch-check out, check out check out my melody

My computer dictionary says that a melody is “a sequence of single notes that is musically satisfying.” There are a lot of people out there who think that rap isn’t music because it lacks melody. My heart broke when I found out that Jerry Garcia was one of these people. If anyone could be trusted to be open-minded, you’d think it would be Jerry, but no.

I’ve always instinctively believed this position to be wrong, and I finally decided to test it empirically. I took some rap acapellas and put them into Melodyne. What I found is that rap vocals use plenty of melody. The pitches rise and fall in specific and patterned ways. The pitches aren’t usually confined to the piano keys, but they are nevertheless real and non-arbitrary. (If you say a rap line with the wrong pitches, it sounds terrible.) Go ahead, look and listen for yourself. Click each image to hear the song section in question. Continue reading

Circular rhythm visualization talk at Spotify

Today I got to talk about rhythm visualization in general and the Groove Pizza in particular at the Spotify Monthly Music Hackathon. Click the image to see my talk, I start at 1:23:47.

Circular rhythm talk at Spotify

Here are my slides:

Want me to come to your school, company, meetup or whatever, and do this talk? Or something like it? Get in touch.

 

Scale necklaces and symmetry

While I was doing some examination of rhythm necklaces and scale necklaces, I noticed a symmetry among the major scale modes: Lydian mode and Locrian mode are mirror images of each other, both on the chromatic circle and the circle of fifths. Here’s Lydian above and Locrian below:

C Lydian mode

C Locrian mode

Does this geometric relationship mean anything musically? Turns out that it does.

Continue reading

Beats and scales

I don’t know a lot about Afro-Caribbean rhythms, beyond the fact that they cause me intense joy whenever I hear them. My formal music education has focused almost exclusively on harmony, and I’ve had to learn about rhythm mostly on my own. That’s why it was so exciting for me to discover the work of Godfried Toussaint. He introduced me to a startlingly useful pedagogical tool: the rhythm necklace.

Rhythm necklaces with their shadows

A rhythm necklace is a circular notation for rhythm. Let’s say your rhythm is in 12/8 time. That means that each cycle of the rhythm has twelve slots where sounds can go, and each slot is an eighth note long (which is not very long.) A 12/8 rhythm necklace is like a circular ice cube tray that holds twelve ice cubes.

What’s so great about writing rhythms this way? Rhythms are relationships between events that are non-adjacent in time. When you write your rhythms from left to right, as is conventional, it’s hard to make out the relationships. On the circle, the symmetries and patterns jump right out at you. I recommend the Toussaint-inspired Rhythm Necklace app to get these concepts under your fingers and into your ears.

You can’t look into Afro-Caribbean beats without coming across a bell pattern called Bembé, also known as “the standard pattern” or the “short bell pattern.” Here’s how it sounds:

I was probably first exposed to Bembé by Santana’s “Incident at Neshabur.”

Bembé’s meter is ambivalent. You can represent it as duple (4/4) or triple (6/8 or 12/8). Practitioners urge you not to think of the bell pattern as being in one meter or the other. Instead, you’re supposed to hold both of them in your head at the same time. The ambiguity is the point.

Two representations of Bembé

Continue reading

Rhythm Necklace

I have a thing for circular rhythm visualizations. So I was naturally pretty excited to learn that Meara O’Reilly and Sam Tarakajian were making an app inspired by the circular drum pattern analyses of Godfried Toussaint, who helped me understand mathematically why son clave is so awesome. The app is called Rhythm Necklace, and I got to beta test it for a few weeks before it came out. As you can see from the screencaps below, it is super futuristic.

Rhythm Necklace

The app is delightful by itself, but it really gets to be miraculous when you use it as a wireless MIDI controller for Ableton. Here’s some music I’ve made that way.

I was expecting to use this thing as a way to sequence drums. Instead, its real value turns out to be that it’s a way to perform melodies in real time. Continue reading

Mobile music app recommendations

I’ve been asked enough times for mobile music app recommendations that I decided to collect all of them here. The iOS apps are ones that I’ve personally used and enjoyed. I haven’t tried most of the Android ones, but they were recommended by people whose opinions I trust. If you have suggestions, please add them in the comments. Continue reading