I need help, please look at link of the pic.
http://s21.postimg.org/rjj7iu893/Chart.png
Can you tell me in the pic what Chords- G7,C7,D7 belong too?
They belong to the key of G. Why? Chords in the key of G are; G, Am, Bm, C, D, Em F#dim. Notice the G, C and D are all major chords. Here is a little something that will help with all that.
http://www.guitar-chords.org.uk/chords-key-c.html Now to your other questions.
i know they are all 7th chords triads (with an added 6th). But i don't know if they are Major, Minor, Half diminished..etc.
also in D7 the 3rd is a sharp? why? what mode?
Yes they are all dominant sevens because the b7 - not the 6th has been added. Why did they do that? Blues will do this all the time, other than that, no real reason I know of besides it being part of a lesson perhaps introducing you to four note chords. The following may help;
Basic Chords
• Major Triad = R-3-5
• Minor Triad = R-b3-5
• Diminished Chord = R-b3-b5
7th Chords
• Maj7 = R-3-5-7
• Minor 7 = R-b3-5-b7
• Dominant 7 = R-3-5-b7
• ½ diminished = R-b3-b5-b7
• Full diminished = R-b3-b5-bb7
Now to D7's 3rd being a sharp. Yep it is for this reason;
D scale is D, E, F#, G, A, B, C#, D.
If we stack the D scale in 3rds - every other note, we get the chord spelling for the key of D.
D F# A for D In making the D7 chord R-3-5-b7 the 3rd of the stack is the F# note.
E G ..B for Em
F# A C# for F#m
How did the Em and F#m get there?
Well, the E scale has a G# in it and your stack has a natural E so you flatted the 3rd note of the E scale for your stack AND every time you do that you get a minor chord. Notice the D's 3rd is a natural F# so it is a major chord.
Remember you had to learn 100 math facts by the 5th grade -- so you could do middle school math. Same here you need to get some of the theory facts under your belt and it will be smooth sailing after that. Here is a good place to start that journey.
Link Removed
Have fun.
P.S. you mentioned mode. Do your self a favor; run from modes until you know your theory a little better. Why? Modes will take you down some very confusing alleys and IMO waste your time right now. A year from now, sure take on modes and have fun with them, but like I said above, you gotta have those 100 music facts first.
P.S.S. Here is something I lived with for quite some time. Help yourself.
Here is the starting place - The Major Scale
Scales with sharps
C D E F G A B ...........................0 sharps
G A B C D E F# .........................1 sharp
D E F# G A B C# .......................2 sharps
A B C# D E F# G# .....................3 sharps
E F# G# A B C# D# ...................4 sharps
B C# D# E F# G# A# .................5 sharps
F# G# A# B C# D# E# ...............6 sharps
C# D# E# F# G# A# B# .............7 sharps
Memory peg - See God Destroy All Earth By F#iry C#aos
Order of sharps - Fat Cats Go Down Alleys Eating Birds
Quick, what are the notes in the E major scale? Easy way; E, F, G, A, B, C, D now go back and put in the sharps or flats. E has four sharps. Which ones? Use Fat Cats --- Fat cats go down – so the E scale will have a F#, a C#, a G# and a D#. Therefore the E scale is E, F#, G#, A, B, C#, D#.
Scales with flat notes
C D E F G A B ...........................0 flats
F G A Bb C D E ..........................1 flat
Bb C D Eb F G A ........................2 flats
Eb F G Ab Bb C D .......................3 flats
Ab Bb C Db Eb F G .....................4 flats
Db Eb F Gb Ab Bb C ....................5 flats
Gb Ab Bb Cb Db Eb F ..................6 flats
Cb Db Eb Fb Gb Ab Bb .................7 flats
Memory peg - See Farmer Brown Eating Apple Dumplings Greasly Cooked
Order of flats use same Farmer Brown, etc.