In this example, many chords are marked as major with a triangle or minor with a minus sign - for the ones that simply say, e.g "C#7" - what would they be?
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Chord symbols are very explicit in telling you what chord you are playing. A C♯7 is a C♯ dominant 7th spelled
C#, E#, G#, B. Any chord with a note and a 7 is a dominant 7th.
Here's a simple breakdown of chords based on chord symbols. To keep this general, we'll use C as an example, but this is for any root note:
There are way more chord symbols then this and there are variations on pretty much every chord symbol. This should get you started though.