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When you add a fourth tone to a triad, you get a "seventh" chord". That is because the added note is a seventh
(interval) from the ground tone.
Let's look at an example: C major seventh.
This is a major triad + a major seventh:
If you use the interval approach, you can split this major 7th chord into the following intervals:
As we saw before, the third can be major(3) or minor(3b), the fifth can be perfect(5), diminished(5b) or augmented(5#). To this we can add that the seventh can be minor(7b) or major(7). or diminidhed(7bb).
Before we look at all possible combinations, let's take the same chord, and look at it using the "thirds approach":
So this is the same chord. You can see that seventh chords - just as triads - are an accumulation of thirds. If you add a third (minor or major) to a triad, you get a seventh chord.
By combining different thirds, fifths and seventh, or by accumulating major and minor thirds, you get different types of seventh chords. We will look at the seven common ones. All examples are in C.
Ground tone + major third + perfect fifth + major seventh, or
Ground tone + major third + minor third + major third

Note that the chord symbol for major 7th is a little triangle. Sometimes a capital M and a seven is used
instead: CM7.
Ground tone + major third + perfect fifth + minor seventh, or
Ground tone + major third + minor third + minor third
This is called "dominant 7th", because it has a very dominant urge to resolve harmonically, it wants to "go
somewehere".

The tones of a dominant 7th chord cannot be played in their original order simultaniously on guitar. The tones are sorted
differently, so you can play all of them.
(So the order is not C-E-G-Bb, but, in this case, C-E-Bb-C, the G is ommited.) The fact that tones cannot be
played in order is quite common on guitar.
Sometimes less important tones are ommited, like the fifth, or the ground tone (the bass player often already
plays the ground tone, or our brains add it).
There is no special symbol for the dominant 7th. If only a 7 is written, it means dominant 7th.
Ground tone + minor third + perfect fifth + minor seventh, or
Ground tone + minor third + major third + minor third

Ground tone + minor third + perfect fifth + major seventh, or
Ground tone + minor third + major third + major third

Note the chord symbol. Here it is a C with a dash, meaning "minor". The little triangle means "major 7th". So it
is a C minor chord with a major 7th.
Sometimes it is written as "C minmaj". You might find more exotic names, like "B+/C".
(B+/C means B augmented with a C in the bass, which results in a set of tones that is enharmonic the same as C
minmaj).
Ground tone + minor third + diminished fifth + diminished seventh, or
Ground tone + minor third + minor third + minor third
Note: it's an accumulation of minor thirds only.

The symbol for a diminished chord is a little circle.
Ground tone + minor third + diminished fifth + minor seventh, or
Ground tone + minor third + minor third + major third

The symbol for a halfdiminished chord is a little circle, splitted with a diagonal line.
Ground tone + major third + augmented fifth + major seventh, or
Ground tone + major third + major third + minor third

Next: which 7th chords can we make using the major and minor scale?