DO YOURSELF A BIG FAVOR AND MAKE SURE YOU READ THROUGH ALL THIS IF YOU ARE SERIOUS ABOUT TRYING TO UNDERSTAND THEORY. IT IS NOT EASY AT FIRST SO DO NOT GET DISGRUNTLED! TAKE IS SLOW!
There are twelve tones, so technically each can have a major and minor scale pattern. However, there are more than just major and minor scales. As for chord, there are major, minor, diminished, augmented, and a few others but not necessary to know at the moment.
You are correct in understanding that if you are in the key of C Major, you can use all the notes that are not sharp or flat. (There are 7 different ones, and 5 sharps(#)/Flats(b) ).
When in the key of C major there are no sharps and flats. This is represented as 0 in the Circle of Fifths. It has 0 #'s/b's. As you progress through the Circle to the right, you add a # to each key. The order the keys go is C-G-D-A-E-B-F#-C#. The trick here is that for each sharp you add, you keep. So C=0, G=F, D=F/C, A=F/C/G and so on. The order is FCGDAEB. If you look closely, it relates to the circle of fifth order as well, just starting on the F rather than the C. (Do your own homework and check out the circle of fifths b's in major. Than check out the circle of fifths #'s/b's in minor)
The minor circle works the same way. The A minor scale has zero #'s/b's as well. So you can play all the notes without the sharps and flats and you can be playing the A minor scale. This known as the relative Major/Minor relationship.
Now you are thinking... HEY! How can I play the SAME NOTES and be playing TWO KEYS with DIFFERENT QUALITIES (Major and Minor).
Well, it depends on the key you start on, in this case, either C or A. Let me explain something else before we get into that.
C C# D # E F F# G G# A A# B C. From each letter to the next (C-C# or E-F) it is known as a half step or a semi tone. It is the smallest increment of movement in Western music. SO! C-D is two half/semi steps/tones (This is known as a whole step/tone).
C- D-E- F-G-A--B-C
W-W-H-W-W-W-H
(I tried to line up the spaces between the notes with W and H (WHOLE AND HALF) to represent the DISTANCE between the two notes.)
WWHWWWH is the MAJOR PATTERN. You start on ANY NOTE and play this pattern, you will be in a major key!
A- B-C- D-E-F--G-A
W-H-W-W-H-W-W
WHWWHWW is the MINOR PATTERN! You can start on ANY NOTE and play THIS pattern and you will be in a minor key!
These patterns determine the Major or minor scale.
(If you play C minor scale, opposed to C Major, you will have 3 flats. These are called parallel Major/Minors)
Okay, so now you know why a scale is a scale. In each scale, there ARE MAJOR AND MINOR CHORDS! There is also a DIMINISHED CHORD!
C-E-G is a MAJOR TRIAD. Read about intervals and triads. If you count C as 0 than count 4 semi tones: C#/D/D#/E, you have reached the MAJOR THIRD. Count 3 more (E being 0) (F/F#/G), you have reached the FIFTH (Which is called PERFECT). This is the formula for a MAJOR TRIAD (4 semi steps, than 3 semi steps). For minor do the inverse (3 semi steps, than 4 semi steps). C(0) Db/D/Eb, THAN from Eb(0) E/F/Gb/G. So your MINOR TRIAD in C is C-Eb-G. All you did was lower the third by a semi step.
I KNOW!!! I counted flats for the minor and sharps for the major. That is because C minor uses flats and not sharps. (ALMOST ALL cases, if you use a sharp you DO NOT use a flat. Vice verse, use a flat DO NOT use a sharp.) Just so you know, F# is the SAME note as Gb. They are ENHARMONICALLY EQUIVALENT.
SO!!!!!!
The notes in C MAJOR represent the CHORDS you will play.
CEG
DFA
EGB
FAC
GBD
ACE
BDF
If you look at the SCALE CDEFGABC, you form a TRIAD by taking your ROOT (First note of a CHORD) and skipping each letter to form the TRIAD (It will consist of a ROOT, THIRD and FIFTH). Look at the CHORDS I have listed above, and relate it to the SCALE.
The chord progress of a MAJOR SCALE can be represented by ROMAN NUMERALS. They have a certain pattern. A capital means MAJOR and lower case means MINOR. A DIMINISHED is represented by a small o (Think of the temperature degree symbol).
MAJOR: I, ii, iii, IV, V, vi, viio, I.
I RECOMMEND you start at C, count the formula for a triad in MAJOR to actually count out the steps to making a MAJOR TRIAD. Do the MINOR pattern for D (ii). When you get to B (viio) you will count 3/3 (DIMINISHED chords are a MINOR CHORD with a LOWERED FIFTH).
Any questions, if I was unclear, or something is confusing, feel free to ask!
The first time you read through this, you may be confused... THAT IS NORMAL!!! It is not easy to start understanding all of this. The simplest things are deeply rooted in complex things!