Why is the Pentatonic Scale *Everywhere*?

mobbs(74)
Published in
Music
Words
1180
Reading
6 min
Listen
Play
3y

There is a lost meme that suggests a guitarist begins with the pentatonic scale, grows into major, minor, diminished and modes, advances further to chromatic enclosures, drop 2 voicing and nested tuplets, and finally graduates to... the pentatonic scale.

I love this - there is so much truth to it. Of all the nifty little tricks and rules and virtuosic dick measuring, it all comes down to those five little notes - maybe 6 if you're jamming in blues.

Like most who teach guitar, I tell my students that every rule I tell them, even though I may enforce them, are made to be broken. Consider them as a set of tools in your guitar (or piano, voice etc.) tool belt which you can selectively bring up whenever you feel its useful.

Some of those tools are more useful than others; Ear training I rank in the number 1 spot, S-tier. Other tools, such as some weird, microtonal exotic scale, might only be used once in a lifetime in a specific musical context or practice session.

But whether you listen to Pop, rock, blues, ancient Chinese music, Jazz, Classical and beyond, you'll find one underlying feature you simply cannot escape: The Pentatonic Scale.

What is the pentatonic scale?

As the pent implies, it's a scale with 5 notes.

image.png

This scale is ingrained in humans, and goes as far back in human history as civilisation itself - perhaps more so. There are fossil records of the pentatonic scale, going back 40,000 years.

Bobby McFerrin gives a rather viral performance at a Ted Talk demonstrating just how ingrained this scale is, by creating music with an audience with no instructions whatsoever aside from jumping left and right on stage to indicate movement of pitch. Every audience in every culture inherently understands which scale to build under that context.

This describes an immense power behind what is nothing more than a series of 5 little notes. In a major key, those notes are 1, 2, 3, 5 and 6.

For anyone totally un-musical, a key signature is basically a combination of 7 notes - A, B, C, D, E, F and G - with one or more of those notes given sharps (#) or flats (b). However many of these sharps and flats there are determines the key signature.

C major has zero sharps or flats: C, D, E, F, G, A, B.
A major has three sharps: A, B, C#, D, E, F#, G#, A.

Put into sequence like this creates your major scale: Do, re, mi, fa, sol, la, ti.

The pentatonic removes the 4th and the 7th note.

That's all there is to it:

image.png

This simple formula of 1, 2, 3, 5, 6 seems to be the entire foundation of music worldwide. Crazy.

The question now is... why?

Skip below if too nerdy. The Tl;dr = Each of the 5 notes just sound nice in pretty much every context, even when played together.


I'm not going to go deep into research today, but suffice to say that it simply sounds good in pretty much any context. If you were one of the zero people who checked out my recent post about pitch ratios, you'll have seen some pretty cool (to me anyway) slow-mo videos of two strings vibrating.

The complexity of a ratio of vibrations tends to determine how 'nice' it sounds to our ears; if the ratio between the notes is, say, 2:1 - 2 waves to every 1 wave on the other string before they line up again - this is a rather small and simple number which translates to a pleasing sound: An Octave (low C and high C played together)

But if you play two notes with a ratio too complex such as 8:15 or 29:41. These are mathematical approximations so it depends on which system you're using, but it's important to get right in any given situation. For example if you are setting frets into a guitar, you need to be extremely precise with your intervallic ratios in order for the guitar to be correctly tuned. Swedish craftsman Daniel Strahle went with my choice of 29:41.

Either way, you get a rather displeasing sound we call a dissonance, literally meaning 'clashing', because it takes a lot more wave cycles before the pair match up again, like the random clashes of ocean waves.

In the above example, 29:41, we call this a tritone, considered the most dissonant in modern tuning:

image.png

The top one is C, the bottom if F#: A tritone. You can count each wave if you want, but it is exactly 29 on the top, 41 on the bottom, before they match up again.

Zoomed in on a section:

image.png

Back to the Pentatonic

The pentatonic scale simply doesn't have this level of complexity. The first interval is 1:1. The most complex is the second note at 9:8. then 5:4, 3:2, 5:3.

The two notes left out are 4:3 and 8:15.

The MINOR pentatonic is basically the same thing, you just start from the 5th note.


Continue here after tl;dr above

Polyteneticity (definitely a real word)

So, now we've established that the notes chosen just sound inherently nice, Does that explain why it's pervasive in all cultures throughout history?

It seems there's no definitive answer, but people have thought so for many years. This paper from the 70's suggests the pentatonic is 'polytenetic', a word they definitely made up to mean 'having evolved independently in the earliest cultures of Europe, Japan, Africa, Americas, Oceania, etc.'

So it is perhaps no surprise that pretty much all our modern music is at least moderately derived from Blues: a style essentially built from the ground up on the idea of the pentatonic scale.

Origin of Pop? Blues. Rock? Blues. Jazz? Blues.

Obviously, classical harmony also had a pretty profound influence. But guess what scale is present in all that music? the pentatonic. In fact, the 5 black notes on a piano are indeed the pentatonic scale built in.

image.png

The problem with the Pentatonic

The thing is, being human we don't just want constantly pleasing sounds all the time. We want tension. Without tension, how can you appreciate the resolution? Without the Flu, how can you appreciate the day you wake up feeling fine? Without despair, how can we find joy in times of joy?

That's just what we're like. Since the pentatonic scale is just so nice all the time, perhaps we need to add some tension into it. And this is when the pentatonic evolves to the blues scale.

What is the blues scale? Well, in its simplest form, it's just the pentatonic scale with one extra note. The blue note.

image.png

Notice there are two '3' notes. This is both a major 3rd and a minor 3rd. The pitch ratio between these two is about 16:15. Pretty tense. And yet, you will find both played simultaneously, constantly in blues music. And it sounds great.

But that discussion is for another day.

Note: This is a vast oversimplification. But since it already passed 1,000 words, best to break it up, eh?

Why is the Pentatonic Scale *Everywhere*? | Ecency