To understand chord contruction, one must first understand a major scale contruction and intervals. (distance between notes.)
min 2nd or half step = 1 fret
maj 2nd or whole step = 2 frets
min 3rd = 3 frets
maj 3rd = 4 frets
There are many adjacent string pictures of specific intervals at:
http://members.tripod.com/~griphon2/index-19.htmlAny major scale construction = 1 1 1/2 1 1 1 1/2; for a major scale to be a major scale, the scale must have this construction. Example: C D E F G A B C = Cmaj scale.
G A B C D E F# G=Gmaj scale, D E F# G A B C# D=Dmaj scale, etc. Notice if one takes the 5th of each scale and contructs an new one, one new accidental appears. The cycle of 4ths and 5ths. C G D A E B F# or Gb Db Ab Eb Bb F C. Zero to 6 sharps or 6 flats to zero.
Chords are constructed from each one of these scales. It is a series of stacking minor and/or major 3rds. (every other note)
Triads:
All major triads have this formula M3 m3/ C E G
All minor triads have this formula m3 M3/ C Eb G
All diminished triad have this formula m3 m3/ C Eb Gb
7 type formula:
Maj 7 =M3 m3 M3 (CEGB--Cmaj)
Dom7=M3 m3 m3 (CEGBb--C7)
min7=m3 M3 m3 (CEbGBb--Cm7)
m7b5=m3 m3 M3 (CEbGbBb--Cm7b5) also known as a half diminished
dim7=m3 m3 m3 (CEbGbBbb(A)--Cdim or C with a degree sign
When constructing chords from each major scale this result will always occur:
I = maj triad or maj7
ii= min triad or min7
iii=min triad or min7
IV=maj triad or maj7
V= maj triad or dom7
vi=min triad of min7
vii=dim triad or m7b5
Full diminished chords exists in only Harmonic minor. I, personally, rarely look at diminished chords as diminished chords when playing American music. Most always they are a function of the dominant, regardless, to playing in Major, minor, or no key at all. To understand modes is to know where any one chord exists in any one key.
A lie goes around the world before the truth gets it's shoes on. (Mark Twain)