Thursday, March 4, 2010

Using the formula of major scale formula to get various scale

Using this formula we can get many scales...eg.
Note      Major Scale
C      C    D    E    F    G    A    B
D      D    E    F#   G    A    B    C#
E      E    F#   G#   A    B    C#   D#
F      F    G    A    Bb   C    D    E
   G    A    B    C    D    E    F#
A  
   A    B    C#   D    E    F#   G#
B  
   B    C#   D#   E    F#   G#   A#
C# 
  C#   D#   E#   F#   G#   A#   B#
Eb 
   Eb   F    G    Ab   Bb   C    D
F#
    F#   G#   A#   B    C#   D#   E#
Ab 
  Ab   Bb   C    Db   Eb   F    G
Bb 
  Bb   C    D    Eb   F    G    A

Order of Sharps and Flats
ORDER OF FLATS F Major = one flat(Bb)
Bb Major = two flats
Eb Major = three flats
Ab Major = four flats
Db Major = five flats
Gb Major = six flats
Cb Major = seven flats
ORDER OF SHARPS: G Major = one sharp(F#)
D Major = two sharps(F#C#)
A Major = three sharps(" G#)

E Major = four sharps(" D#)
B Major = five sharps( " A#)
F# Major = six sharps(" E# )
C# Major = seven sharps(" B#)
Consider circle of 5ths.

Using the Circle of 5ths

To use the Circle of 5ths, you have to figure out what key you are playing in. If you know the key, at the very least, you know you know what chord to go back to. Then the hard part is knowing only what chords are in that key.

Consider Sharps
The circle of fifths helps us identify that key and those chords.

With the Circle of 5ths, you can see how many sharps each key or major scale contains.
  1. C = 0 sharps
  2. Each key as you go down adds the 7th sharp:
    • G adds F#
    • D keeps F#,adds C# ...
  3. Each of these new sharps just happens to be a perfect 5th from the first sharp, F# ... f# g a b c d e
To remember the order of these, remember this quote or make up your own,
“Cool Guitarists Do Absolutely Everything Better ... freak”

Now consider flats


This is basically a continuation from the sharps side. Gb and F# are the same notes, just different names. We switch to flats to make life simpler, because we'd get into double sharps and all that nonsense.
So instead of adding more sharps we take away flats. Let's look at F# and Gb
F# ... F#G#A#BC#D#E#
Gb ... GbAbBbCbDbEbF
See, they're all the same notes.
Now go up a 5th from Gb to Db.
Now we take the flat 7th away, which would be “Cb.”
Next we move up another 5th from Db to Ab and take away the 7th flat, which is Gb
Next we move up another 5th from Ab to Eb and take away the 7th flat, which is Db
Next we move up another 5th from Eb to Bb and take away the 7th flat, which is Ab
Next we move up another 5th from Bb to F and take away the 7th flat, which is Eb. That leaves us with Bb only.
To be honest with you we could analyze the hell out of this thing for hours and hours and still be digging deeper and deeper. We'll look at this a few more times in its entirety and make a few observations.
Now for another cheezy little quote to remember the order of the flats from the c counter-clockwise,
“Cool freakin' BEAD g”
Yeah, I know, but it helps to remember the order of the keys. If not just make something up.

Guitar Theory: Uses of the Circle of 5ths

  • Find out how many sharps and flats are in each key: ALWAYS START on the F and REMEMBER THE ORDER OF THE NOTES ON THE CIRCLE
    Sharps:
    Take your key and the sharps will be each of the notes leading to that key from F. Include F
    EXAMPLE:
    Key of A (we know that A has 3 sharps) From F we have F, C and G (counting 3 from F) so the sharps = F# , C#, G#
    Flats:
    Take your key and the flats will be the notes leading to that key from F again plus the next note. Don't include F
    EXAMPLE:
    Key of Db (we know that Db has 5 flats) From F we have B, E, A, D, G so those will be the flats Bb, Eb, Ab, Db, Gb SIMPLE RIGHT?

  • Find out what chords are in a key and what their flavor is.
    Take the G major key. In that key we know that there is one sharps and that is F#. We know that F# is the 7th of the G because it's the letter that precedes the G alphabetically. So it is diminished.

Finding major and minor keys in the Circle of 5ths

Looking at the Circle of Fifths: the left and right hand man of the key you want are major. After that, the next 3 chords are minor.Then you arrive at the 7th, which we know is diminished. There you go.
So for G = (G C D) (A E B) (F#) are what we get ... G C D are Major, A E B are minor, and F# is diminished.
Put them in order = G a b C D e F#
G a b C D e F#
Major minor minor Major Major minor diminished
I ii iii IV V vi VIIo

remember that the outer circle is major
circle of fifths circle of fifths circle of fifths

Guitar Theory: Summary of Circle of Fifths

So now we know that the circle of fifths shows us:
  1. the notes in every major scale and minor scale
  2. how many flats and sharps are in each key signature
  3. what keys share key signatures
  4. how to quickly see what relative minor belongs to what key
  5. what the dominant and subdominant of every chord / key and consequently where each dominant resolves
  6. the more we study it, the more we will understand the movement and relationship between chords and notes
So where do we start?!! That's a ton of info!
1. Let's start with memorizing the notes and where they are on the Circle of Fifths:
MAJOR KEYS: STARTING WITH C
KEYS WITH SHARPS: down the right side CGDAEBF
KEYS WITH FLATS: down the left CFBbEbAbDbGb
2. Memorize how many sharps and flats each gets: 0123456 (respectively)
3. Memorize how to remember what's flat and sharp:
START WITH F ...
Sharps = count the number of sharps your note has clockwise and those are your sharps. Include F as a sharp.
Flats = count the number of flats your note has counterclockwise from F and those are your flats. Don't count F as a flat.
4. Where the relative minor is in relation to the MAJOR keys and consequently what Keys share Key Signatures.
C G D A E B F MAJOR KEYS and KEY SIGNATURE
a e b f# c# g# d# minor keys that share key sig. above
5. Where the minor keys lie in the Circle of Fifths:
MINOR KEYS: STARTING WITH Am
KEYS WITH SHARPS:
down the right side: Am ... Em ... Bm ... F#m ... C#m ... G#m ... D#m
KEYS WITH FLATS:
down the left side: Am ... Dm ... Gm ... Cm ... Fm ... Bbm ... Cbm
6. Memorize how many sharps and flats each gets:
0 ... 1 ... 2 ... 3 ... 4 ... 5 ... 6 (respectively)
7. Where the tonic, supertonic, mediant, subdominant, dominant, submediant and leading tones occur on the
circle and what their flavor is for Minor keys and Major keys. (major / minor / diminished)
8. Realize where tonic category chords are, subdominant chords are and dominant chords are on the circle.
circle of fifths
CLOCKWISE: every degree separated by 5ths
COUNTERCLOCKWISE: every degree separated by 4ths
OUTSIDE: major scale, major chords forms, major keys, key signatures
INSIDE: minor scale, minor chord forms, relative minor to key chords

OUTSIDE
1 LEFT 4th sbdominant Major chord
1 RIGHT 5th dominant Major chord
2 RIGHT 2nd supertonic minor chord
3 RIGHT 6th submediant relative minor chord
4 RIGHT 3rd mediant minor chord
5 RIGHT 7th leading tone diminished chord
across b5th tritone  

INSIDE
1 LEFT 4th sbdominant minor chord
1 RIGHT 5th dominant minor chord
2 RIGHT 2nd supertonic diminished chord
3 RIGHT 6th submediant Major chord
4 RIGHT 3rd mediant minor chord
5 RIGHT 7th leading tone Major chord
across b5th tritone  
This stuff cna be very confusing. Take a look at it. Study the charts. Then walk away and come back to it. It'll take some time to really understand the theory and then be able to apply it. But it is well worth it to have done this. If you want a short cut, I'd suggest going to the chord progressions page and learning the patterns on that page.

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