#1
For my music theory class our study guide says:

Be able to spell the following different kinds of seventh chords from a given root-
Dominant, Major, Minor, Half-Diminished, Diminished

Is there a shortcut anyone could give me to apply each of these to a given key? I would really appreciate it, thanks.
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#2
Ok, here goes...
Dominant:
Root, Major 3rd, Perfect 5th, Minor 7th
Major:
Root, Major 3rd, Perfect 5th, Major 7th
Minor:
Root, Minor 3rd, Perfect 5th, Minor 7th
Half Diminished:
Root, Minor 3rd, Diminished 5th, Minor 7th
Diminished:
Root, Minor 3rd, Diminished 5th, Diminished 7th