Introduction 
        
          The purpose of this lesson is to explain the basic elements of "practical"
            music theory so that applications such as chord formation, soloing
            and transcribing skills can be developed. This introduction should
            enable you to progress further by seeking professional tuition if
            desired. Such tuition will help you develop other aspects that are
            not considered here, such as correcting bad habits and helping you
            to create your own style and this will proceed at your own pace.  
          Music theory is one big subject to learn. There is a seemingly overwhelming
            amount of information to take in and because of this I have written
            the lesson in three parts. It is heavy going at first (this first
            part is the worst!) but stick with it and feel free to mail me any
            questions (Andrew@lyonap.force9.co.uk).  
          This first part of the lesson deals with the major scale system,
            the second part will deal with chord formation, intervals and modes
            and the third part will deal with soloing.  
          Throughout the lesson capital letters are used to represent major
            chords i.e. C F G and a lower case "m" represents minor chords i.e.
            Dm Em.  
         
       
       
      
        The Major Scale System 
        
          The vast majority of music in the West is based on the Major Scale
            system. This was devised by Pythagorus and consists of the following
            twelve chromatic (semi-tone or one fret increment) scale degrees -
            C C#/Db D D#/Eb E F F#/Gb G G#/Ab A A#/Bb B C If you are familiar
            with a piano or keyboard, the 5 black keys are the sharp/flat notes
            indicated above. Incidentally, I have not yet found an explanation
            for why there is not an E#/Fb nor a B#/Cb note. For now I am notating
            using both the sharp and flat notation where applicable - this will
            be discussed further under "Cycle of Fifths".  
          Each of these 12 chromatic scale degrees forms the root of a major
            scale. Each major scale is formed with a fixed series of intervals
            from the "key" note on which it is based and these intervals are exactly
            the same for each of the twelve major scales. Conventionally, we use
            the expression "key" to describe which major scale any particular
            song is written in. However, being fairly lazy creatures instead of
            saying "written in the key of C major" it is more usual to say "key
            of C".  
          The intervals for a major scale are; tone, tone, semitone, tone,
            tone, tone, semitone. (T T S T T T S)  
          We now have seven scale degrees within a major scale, each of which
            has a name that denotes its relationship to the first note, or tonic.
            As well as playing each note as an individual tone of the scale, it
            can also form the root note of a chord. There is also a fixed pattern
            to describe the nature of each chord (i.e major, minor or diminished)
            and again this pattern is exactly the same for each of the twelve
            major scales.  
          We shall consider the key of C, as this has no sharps or flats. This
            is shown below:  
         
       
      
        
          | Scale Degree | 
          1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
            | 
         
        
          | The C major scale | 
          C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
        
          | Chord Type | 
          maj | 
          min | 
          min | 
          maj | 
          maj | 
          min | 
          dim | 
            | 
         
        
          | Interval | 
          T | 
          T | 
          S | 
          T | 
          T | 
          T | 
          S | 
            | 
         
       
      
        
          From the above it can be seen that starting at C, we move up a tone
            to D, a tone to E, a semitone to F, a tone to G, a tone to A, a tone
            to B and a semitone back to C (an octave higher than the starting
            note). Also, you will sometimes find that scale degrees are notated
            using roman numerals - again there is no right or wrong way.  
          Incidentally, I find that names of each position are seldom referred
            to. The most commonly used are the first position - tonic; the fourth
            position - sub-dominant; the fifth position - dominant and the sixth
            position - relative minor. I find it more useful to think in terms
            of the intervals between notes rather than relative positions i.e.
            an interval of a fourth is shown as C to F above and an interval of
            a fifth is shown as C to G above. Intervals will be considered in
            more detail in part two.  
         
       
       
      
        Cycle of Fifths  
        
          Now that we are familiar with the key of C, we can start to consider
            the other 11 keys. The twelve keys are listed chromatically above,
            but this doesn't help to explain the link between them musically.
            If you imagine that the keys are the hours on a clock face, following
            the cycle of fifths will bring you back to the original starting point.
            Because it is a circular process, you can start with any key and progress
            through the full cycle through all the other eleven keys back to the
            original key that you started from. It is conventional (and easiest)
            to start with the key of C as there are no sharps or flats contained
            within it. The cycle progresses as follows;  
          1. For ease of reference, write the scale degree numbers then write
            the key of C underneath.  
         
       
      
        
          | 1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
          8 | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
       
      
        
          2. Take the fifth note as the new starting note and write it underneath.
           
         
       
      
        
          | 1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
          8 | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
        
          | G | 
            | 
            | 
          G | 
            | 
            | 
            | 
            | 
         
       
      
        
          3. Sharpen the fourth note and write it in underneath the seventh
            scale degree.  
         
       
      
        
          | 1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
          8 | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
        
          | G | 
            | 
            | 
            | 
            | 
            | 
          F# | 
          G | 
         
       
      
        
          4. Write in the rest of the notes from the preceding key using the
            sequence of 6, 7, 8, 2, 3.  
         
       
      
        
          | 1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
          8 | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
        
          | G | 
          A | 
          B | 
          C | 
          D | 
          E | 
          F# | 
          G | 
         
       
      
        
          As a double check, the principal of T T S T T T S will always apply,
            and the seventh scale degree will always be a semi-tone flatter than
            the starting note. It is good practice to write out all twelve keys
            using the cycle of fifths, as this will help familiarize you with
            all the 12 keys and the chords contained in them. The cycle is written
            out in full below.  
         
       
      
        
          | 1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
          8 | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
        
          | G | 
          A | 
          B | 
          C | 
          D | 
          E | 
          F# | 
          G | 
         
        
          | D | 
          E | 
          F# | 
          G | 
          A | 
          B | 
          C# | 
          D | 
         
        
          | A | 
          B | 
          C# | 
          D | 
          E | 
          F# | 
          G# | 
          A | 
         
        
          | E | 
          F# | 
          G# | 
          A | 
          B | 
          C# | 
          D# | 
          E | 
         
        
          | B | 
          C# | 
          D# | 
          E | 
          F# | 
          G# | 
          A# | 
          B | 
         
        
          | F# | 
          G# | 
          A# | 
          B | 
          C# | 
          D# | 
          F | 
          F# | 
         
        
          | C# | 
          D# | 
          F | 
          F# | 
          G# | 
          A# | 
          C | 
          C# | 
         
        
          | G# | 
          A# | 
          C | 
          C# | 
          D# | 
          F | 
          G | 
          G# | 
         
        
          | D# | 
          F | 
          G | 
          G# | 
          A# | 
          C | 
          D | 
          D# | 
         
        
          | A# | 
          C | 
          D | 
          D# | 
          F | 
          G | 
          A | 
          A# | 
         
        
          | F | 
          G | 
          A | 
          A# | 
          C | 
          D | 
          E | 
          F | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
       
      
        
          Moving through the cycle from C, it can be seen that we increase
            the number of sharps successively until we reach 5 in the keys of
            B, F# and C# and then the number decreases again.  
         
         
        Cycle of Fourths 
        
           In the example above, we used a clock face as an example of the
            circular nature of the keys. If we consider that the cycle of fifths
            moves us clockwise, then the cycle of fourths can be considered to
            move us anti-clockwise. The cycle progresses as follows;  
          1. For ease of reference, write the scale degree numbers then write
            the key of C underneath.  
         
       
      
        
          | 1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
          8 | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
       
      
        
          2. Take the fourth note as the new starting note and write it underneath.
           
         
       
      
        
          | 1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
          8 | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
        
          | F | 
            | 
            | 
            | 
            | 
            | 
            | 
          F | 
         
       
      
        
          3. Flatten the seventh note and write it in underneath the fourth
            scale degree.  
         
       
      
        
          | 1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
          8 | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
        
          | F | 
            | 
            | 
          Bb | 
            | 
            | 
            | 
          F | 
         
       
      
        
          4. Write in the rest of the notes from the preceding key using the
            sequence of 5, 6, 8, 2, 3.  
         
       
      
        
          | 1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
          8 | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
        
          | F | 
          G | 
          A | 
          Bb | 
          C | 
          D | 
          E | 
          F | 
         
       
      
        
          It is also good practice to write out all twelve keys using the cycle
            of fourths for the same reasons as given above. The cycle is written
            out in full below.  
         
       
      
        
          | 1 | 
          2 | 
          3 | 
          4 | 
          5 | 
          6 | 
          7 | 
          8 | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
        
          | F | 
          G | 
          A | 
          Bb | 
          C | 
          D | 
          E | 
          F | 
         
        
          | Bb | 
          C | 
          D | 
          Eb | 
          F | 
          G | 
          A  | 
          Bb | 
         
        
          | Eb | 
          F | 
          G | 
          Ab | 
          Bb | 
          C | 
          D | 
          Eb | 
         
        
          | Ab | 
          Bb | 
          C | 
          Db | 
          Eb | 
          F | 
          G | 
          Ab | 
         
        
          | Db | 
          Eb | 
          F | 
          Gb | 
          Ab | 
          Bb | 
          C | 
          Db | 
         
        
          | Gb | 
          Ab | 
          Bb | 
          B | 
          Db | 
          Eb | 
          F | 
          Gb | 
         
        
          | B | 
          Db | 
          Eb | 
          E | 
          Gb | 
          Ab | 
          Bb | 
          B | 
         
        
          | E | 
          Gb | 
          Ab | 
          A | 
          B | 
          Db | 
          Eb | 
          E | 
         
        
          | A | 
          B | 
          Db | 
          D | 
          E | 
          Gb | 
          Ab | 
          A | 
         
        
          | D | 
          E | 
          Gb | 
          G | 
          A | 
          B | 
          Db | 
          D | 
         
        
          | G | 
          A | 
          B | 
          C | 
          D | 
          E  | 
          Gb | 
          G | 
         
        
          | C | 
          D | 
          E | 
          F | 
          G | 
          A | 
          B | 
          C | 
         
       
      
        
          Is it # or b i.e. G# or Ab? 
           We can see when we compare the two cycles above that the meaning
            is exactly the same whether we use a G# or Ab note. Convention normally
            uses sharps for the keys of G, D, A, E and B and flats for the keys
            of Gb, Db, Ab, Eb Bb and F. However, if you find it easier to think
            in terms of all flat notes or all sharp notes then that's fine - there
            is no right or wrong way. 
         
         
        I Can't Remember All That!
        
           As I said at the start, this part of the lesson is definitely the
            worst! I would say though that it is not essential to know all twelve
            keys, as most songs will be written in the keys of C, G, D, A, E,
            Bb or F. It is easiest to learn one key at at a time and which chords
            are major and which are minor. Learning the cycles and the keys will
            enable you to transcribe songs quicker and more accurately - i.e.
            For a "straightforward" song (i.e. one key and no chord substitutions)
            there are only seven chords to choose from, and if the song has an
            Am in it, for instance, there are only three keys to choose from (C,
            F or G). It will also help with chord formation and soloing.  
          Speaking of which, the next lesson discusses intervals, chord formation
            and modes - see you next time!  
         
         
        
          If you have any comments or suggestions, feel free to mail me: (Andrew@lyonap.force9.co.uk) 
            Andrew http://www.lyonap.force9.co.uk
             
         
       
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