Drastically Reduce Learning Time With Intervals (Part 2)

The main goal of this article is to provide you with a set of visual shapes (interval shapes formed by your fingers, and seeable in your mind's eye) to add to your guitar toolbox. These shapes help you reinforce your knowledge of chords and scales, and they generally help you navigate the fretboard without too much pain.

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Hi guys, this is my second article on intervals (this follows on from the first article).

The interval is the basic "word" in the language of music. Stringing these "words" together gives small pieces of melody or chords. And so it builds into the bigger structure of a tune, a verse, a chorus, and so on to the final composition or improvisation.

The ultimate goal of learning intervals is that they are one of the musical tools that allow you to manipulate the emotional responses of your listeners, lifting them up, dropping them down. When combined with strong phrasing, and feel, you have a lot of power at your finger tips, literally. In the next article, I'll explore some of these aspects. Pitch names are unnecessary for the majority of this discussion (today and later), which is a big hint to how widely useful a knowledge of intervals is, when applied.

So today we use intervals for the purpose of speeding up the process of gaining familiarity with the guitar neck. The main goal of this article is to provide you with a set of visual shapes (interval shapes formed by your fingers, and seeable in your mind's eye) to add to your guitar toolbox. These shapes help you reinforce your knowledge of chords and scales, and they generally help you navigate the fretboard without too much pain. Their sounds can be recognised with ear training, but this is not needed initially.

So, with the background set, let's get going...

Pitch, Octave, Semitone

To give a reasonable understanding of what an interval is we have to take a short detour through the world of pitch, octave, and semitone.

Any pitch has a particular (fundamental) frequency of sound. The higher the frequency value, the higher the pitch we hear (recording engineers talk about bass, low-mid, high-mid, high (treble) frequency ranges. The instrument build and the way we play cause other frequencies to get added in, creating the sound of a "guitar" or "violin" playing the same particular fundamental. When you dampen the string (or when you change the tone control, volume...), these additional frequencies get changed, but the fundamental is still the main frequency we perceive. 

Guitar is constructed so that the fundamental frequency of a pitch at some (any) fret (and think of the open string as fret 0, where fret 0 is the nut), and of the pitch produced at its adjacent fret on the SAME string are always related by a mathematical formula... the higher pitch is always 1.059 times the frequency of the lower pitch, and the (frequencies of) two pitches are said to be "a SEMITONE" apart. With pitches three semitones apart, the upper pitch is 1.059 * 1.059 * 1.059 * lower pitch. If two pitches are 12 semitones apart, the upper pitch is 1.059 * 1.059 * 1.059 * ... (12 occurrences of 1.059 multiplied together), which equals 2. When one pitch is double the other, the upper pitch is said to be an octave above the lower pitch, or they are an octave apart.

Forget the maths!

The maths/physics doesn't matter to us as musicians, but we've grabbed the term SEMITONE to talk about the relationship between two pitches, and we say stuff like "these two pitches are 3 semitones apart", or "these two pitches are zero semitones apart (identical)."

The interval

Lastly, musicians also use the term INTERVAL as a synonym, meaning two pitches some number of semitones apart. We may say "play an interval of 3 semitones, starting off the pitch E," or "play an interval of 3 semitones anywhere" ... so here you'd randomly choose a fret, and then play either 3 frets higher or 3 frets lower on that same string. If we said "play an interval of 3 semitones above an arbitrary pitch," then you'd randomly choose a fret, and then play 3 frets higher.

Notice that an interval always involves TWO pitches, no more, no less.

Interval names

But then the theory boys thought "Nah ... this is to easy; let's confuse everyone." So, they invented terms like "minor third," "diminished fifth." So, for example, "diminished fifth" is Chinese for "6 semitones," and "minor third" is Swahili for "3 semitones." In general, we then have this vocabulary of INTERVAL NAMES. However, since there are only a handful of these names, its no big deal to learn them. I'll come back to this.

The brain's perception of intervals

Now to the crux of the matter. The brain, via the ear, isn't fooled or interested by these strange names, or by pitch names (E, F# etc) ... instead it literally detects the frequency relationship between pitches.

If we have two intervals that differ in the number of semitones involved, we say they are different intervals ... the brain perceives these have different sound character, regardless which pitches are involved. Whereas if we have two intervals both with the same number of semitones, they have the same sound character, regardless of which pitches are involved. So, the brain perceives the specific character of 4 semitones, its flavour of sound, if I played fret 1 followed by fret 5, or fret 7 followed by fret 11, and so on.

Finally, as noted above, because of the way the guitar is tuned, there are a few possibilities (not many) for how to physically create the SAME interval, by playing both pitches on one string, or by using two strings (not necessarily adjacent). The limitation comes down to hand stretch.

With this background out the way, here are the shapes ... they are incredibly easy to learn. You'll immediately start seeing them in scale and chord shapes you know.

Here are the important ones ... "5 ST" drawn between two strings mean these strings are tuned 5 semitones apart (so, E and A, A and D, D and G, and B and E). "4 ST" only applies to G and B. Say with E and A being 5 semitones apart, this means that pitches played on the SAME fret on both strings (which is simply a vertical line shape) are 5 semitones apart. Therefore, an interval of 3 semitones must be playable by moving down 2 semitones (5 - 2 = 3) on the upper string of the pair. Hence the red shape. This shape applies anywhere on all string pairs tuned 5 semitones apart. On the G and B strings, a vertical line here forms 4 semitones, therefore an interval of 3 semitones must be playable by moving down 1 semitone (4 - 1 = 3), and hence the green shape.

This first shape of 3 semitones is named "minor third" or written as "b3" in scale formulae. So, if you have minor pentatonic starting off 8th fret on D string, the b3 is found on the 11th fret on the same string, or on the 6th fret of the G string (using the red shape, where the lower red pitch is on the D string).

So, one method is to "find start note, then use interval shape, to find other pitch in the interval." If you're playing G minor scale (1, 2, b3, 4, 5, b6, b7) rooted off G, then you can find any G (e.g. 12th fret on G string) and use the interval shape (green this time) starting off this fret on the G string, so you'd play the 11th fret on the B string.


Here is 4 semitones (major 3rd)


The next interval is called a "perfect 4th" written simply as "4."

Note in the next shape, we just have to adjust the vertical line by 2 frets to get (5 + 2 = ) 7 semitones. On the G,B pair, we have to adjust by 3 frets, as that vertical line forms an interval of 4 semitones (4 + 3 = 7).

This interval of 7 semitones is called a "perfect 5th," or "5th" for short. Written simply as "5."


Here, we build the same interval of 7 semitones using 3 strings. Note that if we start on the bass E string and move vertically to the next string, we get 5 semitones (as above). Move vertically again to the next string (we're on the D string), this is another 5 semitones higher again. We make an interval of 10 semitones in a vertical line from E to D string. So, adjust that back by 3 frets, 3 semitones, to get (10 - 3 = ) 7 semitones.


Here are the only ways to play an octave "to the right" of the lower pitch.


Here are the only ways to play an octave to the left.


You can use these octave shapes to locate the same pitch name all over the neck (duplicate pitches or pitches that are related by octave).

Here are the octave shapes chained together. They break a 12 fret block of the neck into 5 regions.


Here is an example chord. See if you can recognise some intervals in it...


I hope this gets you going. Practice these by choosing one or two intervals, draw their shapes on paper, then have guitar in hand and form the shapes and look at your fingers. Shut your eyes, and feel that shape in your hand. Then try moving the shape (slide it). Then try playing it, take your hand off, and put it down somewhere else (all with eyes shut). Watch out for how the shape changes when on the G and B string pair. I'd only do 5 - 10 minutes on the guitar. Come back to it again 30 minutes later. Then a few hours later. You'll learn these very quickly.

As importantly, listen to the sound quality, and get a mate to practice with you, if you can, or use an ear training program. If you've recognised the sound quality, you then know the interval shape to apply from that start note.

Good luck,
Jerry

24 comments sorted by best / new / date

    jerrykramskoy
    Hi Gerard. The whole point is that is doesn't matter which fret you site an interval at ... so long as you maintain its shape, you get the same interval. Take a look at https://www.ultimate-guitar.com/lessons/for_beg... and then come back to this lesson.
    ruready1994
    I dont get where all the confusion is coming from, its all pretty clear to a newb 4 months in with minimal theory knowledge. Awesome article, great read.
    jerrykramskoy
    Thank you.  It honestly doesn't get any more complicated ... chords are simply groups of intervals (which we measure from one of the pitches in that group, known as the root).  Scales are again groups of intervals, again which we measure from the starting choice of pitch (which we call the tonic, rather than root).  Subsets of the intervals in the scale make chords from the scale.  Scale names and chord names are just shorthand for these interval groups.  However, when we play a chord or scale, we may well extend beyond the octave, so intervals get repeated in different octaves.  For example in the chord shape at the end of the article, the chord root repeats 3 times (red), the perfect 5th (blue) repeats twice, the maj 3rd appears only once.  Just knowing the interval shapes of b3, 3 and 5 above, you can make all your own versions of major chords (the intervals needed are 1, 3 and 5, from your starting choice for 1), and minor chords (1, b3, 5).  You could play the chord as an arpeggio on one string (Van Halen loved that), by using the intervals on one string (e.g. fret 0, fret 4 and fret 7), or fret 2, fret 6, fret 9 ... It really makes me mad how theory is made to appear ridiculously complicated when it in fact it's really simple to understand.  The hard bit is using the knowledge in a musical fashion ... so you need to listen loads, to your favourite players.  Only the ears can help you learn how to play musically.
    Karbine
    I need to drop some acid then read through this again.
    jerrykramskoy
    Let me know if it makes any more sense then! Seriously, if there's stuff here I need to simplify, explain better, let me know.
    jerrykramskoy
    The whole point is that these shapes are independent of key. Once you choose a key, then they apply from there. Don't forget the interval can be built on any strings (not just bottom E and A), and starting at any fret, unless you run out of strings, or frets. However, if you prefer using pitch names, then stick with that. But may start finding that hard once you get into altered chords (like a 7b5#9 in all 12 keys).
    facebooksucks82
    Jerry, Thanks for your effort here. I've done all the college music theory classes, so I think I'm familiar with intervals, but I as well I'm having trouble following the diagrams you've put up. I don't understand the difference between the red dots and the green/olive dots or the 5ST vs 4ST. I'm not sure what they're referring to. Perhaps a brief description of every point on the first diagram may help me understand? Perhaps fret numbers and open string labels might help as well? Otherwise I'm not sure where you're even at on the fretboard? Hope this helps you clarify? Gerard
    jerrykramskoy
    Gerard, just reread my response here, as I've just had a new comment posted. First:  what do I mean by 4 and 5 ST?  This indicates the number of semitones apart that a string pair is tuned.  For example, in standard tuning, the open 5th string (fret 0) is tuned to the same pitch as the 5th fret of the bass E string.  That fret is 5 semitones above the open 6th string (its fret 0).  So, fret 0 of the 5th string, and fret 5 of the 6th string both create a pitch (an "A")  5 semitones above fret 0 of the 6th string.  Similarly, 5 semitones above the 1st fret (F) on the 6th string produces the same pitch (Bb) as the 1st fret on the 5th string.  And so on ... in general, pitches located at the same fret (ANY fret) on the E,A pair of strings are always 5 semitones apart.  The diagram is indicating this showing "5 ST" between the E and A strings.  The exact same concept applies between the 5th and 4th strings.  And therefore, if you play a pitch at some fret on the 6th string, and at the same fret on the 4th string (the D string), these two pitches are 5 + 5 semitones apart. All string pairs apart from G.B are tuned the same way ... 5 semitones apart. The string pair G,B are tuned 4 semitones apart (we tune the B open string to match the pitch of the 4th fret of G string).  So, it's "vertical interval", as I called it above, is 4 semitones (4 STs). Go back to the first diagram above, and look at the 2 red circles on the E and A strings.  Suppose the red circle is at the 8th fret on the E string.  (Could be any fret). Therefore the pitch at the same fret on the A string is 5 semitones higher.  But we want to make an interval of 3 semitones (b3) in this example.  So we adjust the upper red circle (on the A string) back by 2 frets (2 semitones) to get 5 - 2 = 3 semitones.  No matter where I place the red circle on the E string, move back by 2 frets on the A string, and you will always get 3 semitones (assuming the guitar is properly in tune with standard tuning). Similar story with the green pair of circles, on the G,B string pair, in that same diagram.  Now, two pitches at the same (any) fret on the G.B strings are 4 semitones apart.  Therefore we need to adjust the pitch on the B string back by 1 semitone (1 fret) to get an interval of 3 semitones. Look at the diagram for 7 semitones.  The red circle on the bass E string is shown with a connecting line to another red circle on the D string.  This pair are 7 semitones apart.  If we had a pitch at the same fret as the E string circle, but on the A string, that pitch is 5 semitones higher, as we've just seen.  Move to the same fret on the D string, and that pitch is 5 semitones above the pitch on the A string, and hence 10 semitones (5+5) higher than the pitch on the E string.  Therefore, adjust that pitch on the D string back 3 semitones (3 frets) to get 10 - 3 - 7 semitones.
    jerrykramskoy
    Thanks for the feedback. This is useful to me! Well ... let me try and clarify for you. By charts, do you mean the intervals shapes (the diagrams with white background)? First off, did you understand that the tuning of the guitar affects the shapes? We can either discuss here, or feel free to private message me. I'll send you a message too, now. Cheers, Jerry
    cam75
    Guess Im the only one who got totally confused. New player.. Read lesson 1, and it made sense. Once you introduced the charts I got lost. Thanks for taking the time though. Appreciate the effort.
    lubis95
    It took me about 1.5 hrs approx. but i figured it out. This is great information; now I can move onto the conquering fretboard lesson 1. Thank you!
    jerrykramskoy
    I'm glad it has helped you, lubis .. any suggestions for what could be clearer to bring down your 1.5 hrs to something less?
    theonlyschmidty
    Great stuff Jerry. As a guy who's improved solos consist of aimlessly running the pentatonic scales up and down, this really helps. Can't wait to read more about target notes and creating emotion e.g. tension, release, melancholy, expectation, etc. You make sense to me and are just what I need to give my lead playing, some direction. Cheers!
    rcandido75
    what key are we in? , if f and a is a major 3rd , then a and f is a minor 6 , thats how simple it is jerry. i treat each note on the bottom string as the root, while if you place / make the "a" note the root note it becomes a minor. flattening or sharpening any of the note makes it something special.
    sherlockh
    I've been playing for a little more than half a year and I've found all this stuff pretty confusing but this series is really breaking it down and making it understandable, thanks so much and please keep writing! Also, do you recommend any other straightforward theory lessons I could read or watch? Thanks!
    jerrykramskoy
    Hi sherlockh. Thank you! The theory books I've come across in the past only started to make sense to me after some great musicians explained theory to me. Which is why I'm very passionate about trying to explain it visually and aurally. Stay tuned ... something is on the way, aside of these articles. Drop me a message. If you get stuck as you're learning, I'll try and clarify for you. cheers, Jerry (p.s I haven't used youtube for finding lessons, so maybe try asking one of the UG forums about that)
    ShredderMan1
    you could try mine as well. I have a 2 part lesson on basic theory on UG
    jerrykramskoy
    Hi ShredderMan, Stick a link to it here, as a reply. The more we share knowledge, the better. cheers, Jerry
    lat77
    I've only been playing for about 4 months but this actually makes perfect sense to me after spending some time critically reading. Great job!
    jerrykramskoy
    Thank you! The first lesson touched on this, and I will be going into a lot more depth. Basically, intervals create different sounds, and chosing different ones as landing notes create very different effects, that affect your listener in different ways (emotional response). A critical use of these is in establishing tonality (an upcoming lesson). These musical skills can make a big difference between players that havce the same mechanical technique skills (legato, sweep etc). At a pragmatic level, they keep you orientated on the fretboard. They won't help wrt mechanical technique skills per-se. cheers, Jerry
    niandralades94
    Your post was great but I'd like to know how is this going to help me to improve my soloing skills, thanks!
    plarles
    Great lesson sir! It always seemed to make sense to me to study intervals in depth before studying scales and chords, and then to learn scales in terms of intervals instead of patterns. It boils down to the same thing really, but with that approach the patterns are tied to the interval instead of the scale, the musical "word" as you put it. For anyone seeking this approach, this lesson is pure gold.
    jerrykramskoy
    Thank you, plarles. Since intervals crop up everywhere, and are so quick to remember, they really do help with memorising scales and chords. More to follow soon. cheers, Jerry