Tapping on Bass Guitar Lesson #5 
                    ================================ 

                                          Ian Stephenson 
                                          ian@ohm.york.ac.uk 
 

Last time we just touched upon the all important technique of tapping  
major thirds.  Physically it's pretty straight forward, and you should have  
mastered it with few problems.  This week we'll consider how the interval is  
used within simple chords.  To do this I'll need to run over some basic  
music theory - I hope it doesn't scare anyone too much.

Previously all the right hand paterns that we've considered have been  
based on the interval of a fourth (thats five frets!).  This is the easiest  
interval to tap, as it's the interval between adjacent strings.  It's the  
interval between the root and the fourth note of the scale, but is  
harmonically more common as the interval between the fifth and the octave:


                                                   -O-
                        __                       O
                    |--/--\-------------------O-------- 
                    |  \   | .             O        
                    |---@--|------------O-------------- 
                    |      / .       O  
                    |-----/-------O-------------------- 
                    |    /     O
                    |---/------------------------------ 
                    |                 
                    |----------------------------------
                               1  2  3  4  5  6  7  O
                               ^        ^  ^        ^
                               \_______/   \_______/
                                  4th         4th

Triads (the basic three note building blocks of chords) are formed by
starting on a note of a scale, and playing every other note above that.  If
we consider the key of C Major (as it has no sharps or flats), and start
on the first note (ie C) we get the notes C, E and G.


                                                  -(O)-
                        __                       
                    |--/--\---------------------------- 
                    |  \   | .             O        
                    |---@--|--------------------------- 
                    |      / .       O  
                    |-----/---------------------------- 
                    |    /     O
                    |---/------------------------------ 
                    |                 
                    |----------------------------------
                               1  2  3  4  5  6  7  O
                                           ^        ^
                                           \_______/
                                              4th

This shows clearly how 4ths are important in basic (ie I'm generalising,  
and glossing over things) harmony.  Where ever we start on the scale we  
always form triads in the same way by skipping every other note:
                                                 

                                               O
                                          -O- --- 
                                       O          
                                  -O- --- --- -O- 
                               O           O       
                          -O- --- --- -O- --- -O- 
                    __             O       O       
                |--/--\--------O-------O-------O------ 
                |  \   | . O       O       O
                |---@--|-------O-------O-------------- 
                |      / . O       O
                |-----/--------O---------------------- 
                |    /     O
                |---/---------------------------------
                |                 
                |-------------------------------------
                           1   2   3   4   5   6    


(Note I left the 7ths out - they work slightly differently, but that's
for another time!).

No matter which note you start on you'll always find a fourth interval at  
the top of the chord between the fifth and the octave.

A Major third is found between the root and the third degree of a Major
scale, so going back to our C Major example:


                                                   -O-
                        __                       O
                    |--/--\--------------------O-------- 
                    |  \   | .             O        
                    |---@--|------------O-------------- 
                    |      / .       O  
                    |-----/-------O-------------------- 
                    |    /     O
                    |---/------------------------------ 
                    |                 
                    |----------------------------------
                               1  2  3  4  5  6  7  O
                               ^     ^  
                               \____/
                               Maj 3rd

Hence we find a Major third at the bottom of all Major chords.  However,
we have to be a bit more careful with thirds than we do with fourths,  
because if we start on a different degree of the scale we get a different  
interval between the notes of our triads. The reasons for this are a bit  
complex, but the results can be most clearly seen by considering a piano  
keyboard:

            =========================================
            |   | |  | |   |   | |  | |  | |   |    |
            |   | |  | |   |   | |  | |  | |   |    |
            |   | |  | |   |   | |  | |  | |   |    |
            |   +++  +++   |   +++  +++  +++   |    |
            |    |    |    |    |    |    |    |    |
            |    |    |    |    |    |    |    |    |
            | C  | D  | E  | F  | G  | A  | B  | C  |
            |    |    |    |    |    |    |    |    |
            +----+----+----+----+----+----+----+----+

If you start at C and count the number of semitones between it and its  
third (E) you'll find you move 4 steps.  However, if you count the number of  
steps between D and its third, F (remember there are no sharps or flats in  
the key of C) you'll find there are only three steps. If you work it out  
(as I suggest that you do) you'll find that C, F and G have four steps to  
their third, while D, E and A have only three (as I said before - ignore B,
it's a bit odd).

As you've probably guessed, 4 steps are a Major third, and hence C, F and G  
are Major chords in the key of C Major.  A three semitone gap is a Minor  
third, and therefore D, E and A are minor chords.  To generalise this, in a  
major key the chords I, IV and V are Major, and the chords II, III and VI  
are minor.

As a final twist before moving on to some fretboard based examples, look  
again at the C Major chord, but this time consider the interval between  
the third (E) and the Fifth (G).  Count the semitones and you'll find  
you've got a MINOR third.  If you look at a MINOR chord (D minor) you'll  
find that the interval between its third and fifth is a MAJOR third!  This  
gives us a neat trick where we can use the same Major third interval to  
play completely different roles in two chords - say Amin (ACE) and CMaj  
(CEG) - A Minor is the RELATIVE MINOR of C Major.


If we play an E at the 12th fret we can tap its octave on the 14th fret.  
By stretching the middle finger a little further than we would for a  
fourth we can comfortably tap the third (g#) at the 13th fret.


                                       (#)-O-

                                          -O-

                                          ---         
                        __                        
                    |--/--\---------------------------- 
                    |  \   | .  #                   
|------13-------|   |---@--|--#------------------------ 
|------14-------|   |      / .       O  
|---------------|   |-----/---------------------------- 
|---12----------|   |    /     #
       T            |---/------------------------------ 
                    |                 
                    |----------------------------------

From here we could easily move to the other major chords of this key (A  
and B - IV and V remember) by moving the bass note up a string, and  
tapping fourth intervals.  However, we can alternatively bring in the  
relative minor (C#) by just moving the bass note:


                                       (#)-O-

                                          -O-

                                          ---
                        __
                    |--/--\---------------------------- 
                    |  \   | .  #                   
|------13-------|   |---@--|--#------------------------ 
|------14-------|   |      / .         
|---------------|   |-----/---------------------------- 
|---9-----------|   |    /     #     O
       T            |---/------------------------------ 
                    |                 
                    |----------------------------------


If we string these four chords together we get:


                                                                   -O-
                                                      O
                     -O-             -O-             ---           ---
                                                                 O     O
                 -O- --- -O-     -O- --- -O-     -O- --- -O-    ---------

                 --- --- ---     --- --- ---     --- --- ---    ---------
    __                                                         O
|--/--\----------------------|---------------|-O-------------|-----------|
|  \   | .  #                |               |               |           |
|---@--|--#------------------|---------------|---------------|-----------|
|      / .     O             |               |               |          .|
|-----/----------------------|---------------|---------------|-----------|
|    /     #                 | O             |               |          .|
|---/------------------------|---------------|---------------|-----------|
|                            |               |               |           |
|----------------------------|---------------|---------------|-----------|
|             E              | C#m           | A             | B         |
|                            |               |               |           |
|---------------------13-----|--------13-----|--------14-----|-----16----|
|-----------------14------14-|----14------14-|-----14----14--|---16--16-o|
|----------------------------|---------------|-12------------|-14-------o|
|-------------12-------------|-9-------------|---------------|-----------|

All very well I hear you say, but it's hardly rock'n'roll.  Well Satch
knows a good thing when he sees it, and he used a very simple Relative Minor  
trick on the main riff from the track "A  Day at the Beach (New rays from  
an ancient sun)" on "Flying in a Blue Dream":

|---------16-------14-------12-------14-------16-------|
|o-----5--17----5--14----5--12----5--14----5--17------o|
|o----------------------------------------------------o|
|---3--------3--------3--------3--------3---------(7)--|
                                                   ^Second Time

|---------16-------14-------12-------14-------16-------|
|o-----9--17----9--14----9--12----9--14----9--17------o|
|o------------------------------------------------(5)-o|
|---7--------7--------7--------7--------7--------------|
                                                   ^Second Time

This isn't strictly accurate (I've changed the key, and simplified it  
somewhat), but it clearly illustrates how the Major third is used in two  
roles - as part of the G Major chord in the first section, and then as  
part of the relative minor E minor chord in the second section.  Notice how  
the right hand is identical for both sections, but by moving the bass note  
we change the sound completely.

I hope that this all made some kind of sense to you all.  I've covered a
lot of information this week - don't worry if it didn't all sink in
straight away, it'll take time before you feel comfortable with it.  However,
I think you need to at least have seen this stuff to get the most from
tapping.  Going polyphonic gives you a lot greater choice of notes to play,
theory gives you some sort of hints as to what might work.

If this does cause you a great deal of hassle then send me some email, and  
I'll try and clear up any gray areas.  I had this stuff drummed into me  
about ten years ago so I'm not really sure how much of a challenge this  
will present to those of you who haven't seen it before (That which is  
obvious does not need discussing! - cool quote :-)).

Don't Panic
Ian 


LESSON POINTS: Triads (Chord Construction)
               Major Thirds
               Relative Minors

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