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The unison is an interval from one to the same letter. E.g. From C to the same C is an unison.
When the pitch of the tones is the same (in music theory this is called "enharmonic the same"), the unison is a perfect unison.
Examples: C-C, E-E, Bb-Bb, G#-G# are all perfect unisons.
There are situations where the pitch is not the same. E.g. there is a B and a Bb.
The letters are the same, but the pitch of the second tone, the Bb is lower than the B.
In this case, we speak of the diminished unison.
An example in real life would be a pianoplayer playing the B as the highest note in a G7 chord. The solo guitar could play a bluesy Bb on that. B-Bb: a diminished unison.
In an other situation you could have e.g. a G and a G#. In that case the second one sounds higher. We call that an augmented unison.
Note: it is an unison because the root tones / letters are the same.

Respectively a perfect, diminished and augmented unison
The second is an interval from one letter to the next letter, so two letters. E.g. C-D, F-G, A-Bb, E-F, or G#-A, etc.
There are four types of seconds:
So sometimes the distance between tones is the same, but the name of the interval is different, because other letters are used. Some examples:

Respectively a major, minor, diminished and augmented second
The third is a distance of three letters, e.g. C-E, D-F, G-B.
The third is a very important interval, as mentioned in the previous course about scales.
Just as the second,
the third can be major, minor, diminished or augmented.
The two important types however are major and minor. We tend to experience major as cheerful, while minor gives
us a more melancholic experience.
Again, some thirds sound the same (are "enharmonic equal") as other intervals. This overlap exists for all intervals that are "next to each other" (unison and second, second and third, third and fourth, etc.).

Respectively a major, minor, diminished and augmented second