Mon 27 Feb 2023
Lately, I’ve been working on my guitar playing, specifically, on getting better at “improvising” some sort of lead playing over chord progressions. I am still terrible at it, but at least I can kind of actually do it, just not very well.
I wanted to write down some ideas — some “big ideas” — some things that I have learned from various sources (mostly from youtubers Brian Kelly and Stichmethod). I say “big ideas” because although these are simple things, they are things which had remained very mysterious to me for a very long time.
Big Idea 1: The pentatonic scale
The first big idea is what the hell the pentatonic scale is for. Like many guitar players, I had learned a little bit of the pentatonic scale, and the blues scale (the pentatonic plus the flat five). But I didn’t know why I had learned it.
The reason the pentatonic scale exists is because it is what is left after you remove every note which does not sound good over every chord in the key. That is to say, if you stick to chords in the key for your “backing track”, and you stick to the pentatonic scale for your “lead”, it’s going to work, it’s going to sound good. Now, that is a slight oversimplification, because it is not strictly true that every note of the pentatonic sounds good over every chord in the key, but it’s almost true. It’s “true enough” that is kind of works. If you have a looper and you strum a pattern of a few chords from a key, then play the pentatonic scale for that key over those chords, suddenly it’s working, you’re making music, you’re not playing “wrong” notes, it’s sounding good, and not only that, it’s easy. It’s like somebody put training wheels on your bike, and you’re suddenly not crashing and burning all the time.
So, you need to memorize all 5 positions of the pentatonic scale, and become proficient with playing it up and down the neck. This is super super important.
Here are the 5 positions, or “forms” of the pentatonic:
Form 1: |-----|---##|-----|-----|--##| |-----|---##|-----|-----|--##| |-----|---##|-----|---##|----| |-----|---##|-----|---##|----| |-----|---##|-----|---##|----| |-----|---##|-----|-----|--##| Form 2: |-----|-----|---##|-----|--##| |-----|-----|---##|-----|--##| |-----|---##|-----|---##|----| |-----|---##|-----|-----|--##| |-----|---##|-----|-----|--##| |-----|-----|---##|-----|--##| Form 3: |-----|---##|-----|---##|----| |-----|---##|-----|-----|--##| |---##|-----|-----|---##|----| |-----|---##|-----|---##|----| |-----|---##|-----|---##|----| |-----|---##|-----|---##|----| Form 4: |-----|---##|-----|-----|--##| |-----|-----|---##|-----|--##| |-----|---##|-----|---##|----| |-----|---##|-----|---##|----| |-----|---##|-----|-----|--##| |-----|---##|-----|-----|--##| Form 5: |-----|-----|---##|-----|--##| |-----|-----|---##|-----|--##| |-----|---##|-----|-----|--##| |-----|---##|-----|-----|--##| |-----|-----|---##|-----|--##| |-----|-----|---##|-----|--##|
Each form meshes with the previous and next forms. So, Form 1, beginning on the Nth fret meshes with form 5 a few frets lower, and with form 2 a few frets higher, and so on.
Big Idea 2: Easily find chords of any key
The second big idea is how to find all the chords of a key on guitar without memorizing the circle of fifths, or memorizing all the sharps and flats and the positions of all the notes on the fretboard. Prerequisites for this method is that you know four simple chord shapes on guitar.
E-shaped chord. Major chord with root on the low E string: |-----|#####|-----|-----|----| |-----|#####|-----|-----|----| |-----|-----|#####|-----|----| |-----|-----|-----|#####|----| |-----|-----|-----|#####|----| |-----|#####|-----|-----|----| E-minor shaped chord Minor chord with root on the low E string: |-----|#####|-----|-----|----| |-----|#####|-----|-----|----| |-----|#####|-----|-----|----| |-----|-----|-----|#####|----| |-----|-----|-----|#####|----| |-----|#####|-----|-----|----| A-major shaped chord Major chord with root on the A-string: |-----|#####|-----|-----|----| |-----|-----|-----|#####|----| |-----|-----|-----|#####|----| |-----|-----|-----|#####|----| |-----|#####|-----|-----|----| |-----|#####|-----|-----|----| A-minor shaped chord Minor chord with root on the A-string: |-----|#####|-----|-----|----| |-----|-----|#####|-----|----| |-----|-----|-----|#####|----| |-----|-----|-----|#####|----| |-----|#####|-----|-----|----| |-----|#####|-----|-----|----|
For each key, there are 7 chords, 3 major chords, 3 minor chords and a diminished chord. I am going to ignore the diminished chord. So we’re left with 3 major chords and 3 minor chords. How do you find these chords for any key on the guitar?
For a major key, the chords are numbered with roman numerals:
I, ii, iii, IV, V, and vi
The capitals indicate major chords and the lowercase letters indicate minor chords.
To find the I chord of a given major key, say, A-major, find the root note (A) on the low E-string, and play the E-major shaped chord. (i.e. so A-major on the 5th fret).
To find the ii chord, move up two frets (so 7th fret) and play an E-minor shaped chord.
To find the iii chord, move up two frets (so 9th fret) and play an E-minor shaped chord.
To find the IV chord, go back to the root fret (5th fret) and play an A-major shaped chord.
To find the V chord, move up two frets (7th fret) and play an A-major shaped chord.
To find the vi chord, move up two frets and play an A-minor shaped chord.
If you go through this process a few times, you’ll immediately notice that these six chords form a distinct pattern on the fretboard, and that for every key, this pattern is the same, just starting on a different fret. So it quickly becomes obvious given a major key, where all the chords for that key lie on the fretboard. Try it. After finding the chords for 3 or 4 keys, you’ll have memorized the very easy pattern.
For the minor keys, the chords are numbered i, III, iv, v, VI, and VII. (I skip the ii chord because it’s that diminished chord).
To find the i chord, find the root note on the A-string, and play an A-minor shaped chord. (so, for the key of E-minor, 7th fret).
At this point I need to point out that every major key has a “relative minor” key, and every minor key has a “relative major” key. So for example the key of C major has a relative minor key, A-minor, and A-minor has a relative major, C-major. What does that mean? Well, the two keys share the exact same notes, and the exact same set of chords! Now this doesn’t mean that you need to memorize the relative-major/minor relationship for all the major/minor keys — you don’t. What it does mean, is that the same pattern of chords on the fretboard that you already know from the major keys also works for the minor keys, only the roman numerals are different.
So, the i chord of a minor key is in the position of the vi chord in the major key. So, to find the III chord of the minor key (skipping ii), go down 4 frets and down one string (so, for E-minor key, 3rd fret, low E-string) and play an E-major shaped chord. This III chord of the minor key is in the position of the I chord of the relative-major key.
Since you already know where all the chords of the relative major key are, you also already know where all the chords of the minor key are — they’re the same chords!
So the iv chord is two frets up from III, E-minor chord shape (same as the ii chord from relative major key). The v chord is two frets up from iv, E-minor chord shape (same as iii chord from the relative major key.) The VI chord is on the same fret as the ii chord, A-major chord shape, (same as IV chord from the relative major key). The VII chord is two frets up from VI chord, A-major chord shape (same as V chord from the relative major key).
With that, you can now easily find all the chords for any key, major or minor, without memorizing the circle of fifths, or all the sharps and flats and all the notes on the fretboard.
And, if you have a looper pedal, you can pick a key, lay down a loop of a few chords from that key, then play the pentatonic scale for that key over it, and it will sound decent (not great, but decent). And it’s lots of fun.
Many players get stuck here and sort of plateau at this level (me included). You can noodle around on the pentatonic over chords in the key, and… that’s about it. It’s not a terrible place to be stuck, it’s lots of fun.
The next step (which I have not reached) is to be able to target “chord tones”. That is to say, at any given moment when a particular chord is playing in the backing track, notes from that chord, the root, the major or minor third, and and the fifth are going to be the juicier, better notes to be hitting in the lead line than other notes. Its better to target these notes from the current chord than to randomly noodle around on the pentatonic scale.
So how do you do that? Well, I’m not quire sure. It’s difficult. But I have some ideas.
One idea I had was to systematically go through each form of the pentatonic and see what happened to them when you add the notes from each of the six chords of major and minor keys. What I found was interesting, and I encourage you to go through this exercise yourself with pen and paper.
Big Idea 3: Chord tones added to pentatonic forms yield transformations
Let’s start with minor pentatonic form I and add the notes of chord i from the minor key. Here’s form 1 with root note marked RR.
Form 1: |-----|---RR|-----|-----|--##| |-----|---##|-----|-----|--##| |-----|---##|-----|---##|----| |-----|---##|-----|---RR|----| |-----|---##|-----|---##|----| |-----|---RR|-----|-----|--##|
Now let’s add the notes of the i chord, marked as 1, b3, and 5:
|-----|----1|-----|-----|--b3| |-----|----5|-----|-----|--##| |-----|---b3|-----|---##|----| |-----|---##|-----|----1|----| |-----|---##|-----|----5|----| |-----|----1|-----|-----|--b3|
Didn’t really change anything, all those notes were already in the pattern, but at least we can see where the juicy notes are within the pattern.
Let’s try the III chord:
|-----|---##|-----|-----|---1| |-----|----3|-----|-----|---5| |-----|----1|-----|---##|----| |-----|----5|-----|---##|----| |-----|---##|-----|----3|----| |-----|---##|-----|-----|---1|
Again, all the notes were already there, and now we can see where the juicy notes for the III chord are.
Let’s try the iv chord:
|-----|----5|-----|-----|--##| |-----|---##|---b3|-----|--##| |-----|---##|-----|----1|----| |-----|---##|-----|----5|----| |-----|----1|-----|---##|--b3| |-----|----5|-----|-----|--##|
Ok, now this one is more interesting. The flat 3rd (b3) of the chord was not in the pattern, but the note a half-step below the b3 was in the pattern. Now playing a note a half step below the 3rd of a chord while that chord is playing is going to clash. So we should avoid that note and play the b3 instead of that note. (This is what I meant when I wrote befoe that it is not strictly true that every note of the pentatonic sounds good over every chord in the key. Here is an example of a note in the pentatonic that does not sound good over the iv chord). So let’s remove it.
|-----|----5|-----|-----|--##| |-----|-----|---b3|-----|--##| |-----|---##|-----|----1|----| |-----|---##|-----|----5|----| |-----|----1|-----|-----|--b3| |-----|----5|-----|-----|--##|
Does that pattern look familiar? It should. That is form 4 of the pentatonic. Adding the notes of the iv chord has transformed form 1 into form 4! So, if you’re playing form 1 minor pentatonic, and the iv chord comes along, you can stay in the same place on the neck, but switch to form iv, and this will in some sense target chord tones for the iv chord. Or you can think of it as switching to a different key momentarily, making the iv chord into the i chord for a bit.
Let’s try adding the tones from the v chord:
|-----|---##|-----|----5|--##| |-----|----1|-----|-----|--b3| |----5|---##|-----|---##|----| |-----|---b3|-----|---##|----| |-----|---##|-----|----1|----| |-----|---##|-----|----5|--##|
Now, the 5th of the v chord is a new note in the pattern. And again, the note a half step above the 5th would clash with the 5th of the chord so we should play the 5th instead of this note, so let’s remove this note.
|-----|---##|-----|----5|----| |-----|----1|-----|-----|--b3| |----5|-----|-----|---##|----| |-----|---b3|-----|---##|----| |-----|---##|-----|----1|----| |-----|---##|-----|----5|----|
Hey wait a minute, that’s form 3! Adding the v chord tones to form 1 has transformed it into form 3!
Alright let’s add the tones from the VI chord to form 1:
|-----|----3|-----|-----|---5| |-----|-----|----1|-----|--##| |-----|----5|-----|---##|----| |-----|---##|-----|----3|----| |-----|---##|-----|-----|---1| |-----|----3|-----|-----|---5|
The 1 (root) of the VI chord isn’t present in the form 1 so we add it and remove the note that was a half step below it. And, hey look at that, The VI chord transforms form 1 into form 4.
Let’s try adding the VII chord:
|-----|---##|-----|---b3|----| |-----|---##|-----|-----|---1| |---b3|-----|-----|----5|----| |-----|----1|-----|---##|----| |-----|----5|-----|---##|----| |-----|---##|-----|---b3|----|
So the b3 is not in form 1, so we add the b3 and remove the note a half step above it, and look at that, we have form 3.
So we started with the form 1 minor pentatonic and added each of the 6 chords of the minor key and found the following transformations:
Form 1 + chord i --> Form 1 Form 1 + chord III --> Form 1 Form 1 + chord iv --> Form 4 Form 1 + chord v --> Form 3 Form 1 + chord VI --> Form 4 Form 1 + chord VII --> Form 3
We could go through the same exercise with Form 2, adding each of the chords, and we would find the following (I encourage you to try this yourself with pen and paper):
Form 2 + chord i --> Form 2 Form 2 + chord III --> Form 2 Form 2 + chord iv --> Form 5 Form 2 + chord v --> Form 4 Form 2 + chord VI --> Form 5 Form 2 + chord VII --> Form 4
And with Form 3:
Form 3 + chord i --> Form 3 Form 3 + chord III --> Form 3 Form 3 + chord iv --> Form 1 Form 3 + chord v --> Form 5 Form 3 + chord VI --> Form 1 Form 3 + chord VII --> Form 5
And with Form 4:
Form 4 + chord i --> Form 4 Form 4 + chord III --> Form 4 Form 4 + chord iv --> Form 2 Form 4 + chord v --> Form 1 Form 4 + chord VI --> Form 2 Form 4 + chord VII --> Form 1
And Form 5:
Form 5 + chord i --> Form 5 Form 5 + chord III --> Form 5 Form 5 + chord iv --> Form 3 Form 5 + chord v --> Form 2 Form 5 + chord VI --> Form 3 Form 5 + chord VII --> Form 2
There’s a further pattern here, which is this:
Form X + chord i --> Form X Form X + chord III --> Form X Form X + chord iv --> Form (X + 3) Form X + chord v --> Form (X + 2) Form X + chord VI --> Form (X + 3) Form X + chord VII --> Form (X + 2)
The arithmetic wraps around to 1 after 5, so that 3 + 3 = 1, 3 + 4 = 2, 3 + 5 = 3, etc.
You can perform the same experiment with the major pentatonic, and you will find that, for the major pentatonic:
Form X + chord I --> Form X Form X + chord ii --> Form (X + 3) Form X + chord iii --> Form (X + 2) Form X + chord IV --> Form (X + 3) Form X + chord V --> Form (X + 2) Form X + chord vi --> Form X
Again, the arithmetic wraps around to 1 after 5.
You can remember all this via the following 6 digit numbers:
003232 (minor) 032320 (major)
That is, for any given chord N, where N is between 1 and 6, find the Nth digit of 003232 (for minor pentatonic) or 032320 for major pentatonic, and that’s how much to add to the pentatonic form number.
So for example, say you’re playing minor pentatonic position 4 and the iv chord comes along. The 4th digit of 003232 is 2, so add 2 to 4 = 1, so now you can switch to pentatonic form 1 in the same fret position.
You may notice that for the minor keys, the i and the III chord perform the same transformation (none), the iv and the VI perform the same transformation (+3), and the v and the VII perform the same transformation (+2), and for major keys, the I and the vi, the ii and the IV, and the III and the V, perform the same transformations (0, +3, and +2, respectively). That is because these pairs of chords are each other’s relative major/minor.
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