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The fourth is a distance of four letters. Note: you start counting at one.
C(1) - D(2) - E(3) - F(4)
So C-F is a fourth, just like D-G, or G-C, or Eb-Ab, and also Eb-A, or Eb-A#, etc.
There are no major or minor fourths, but - just like the unison - there is perfect, diminished and augmented variation:
Respectively a perfect, diminished and augmented fourth
The fifth is a distance of five letters.
Examples: C-G, D-A, G-D, Eb-Bb, and also E-Bb, or C#-Gb, etc.
The fifth is a very common interval. Not only in music. When you drop a metal beam, you can hear a perfect fifth.
Just like the fourth, there is a perfect, diminished and augmented fifth.
A common notation for a diminished fifth is b5 ("flat five").
Respectively a perfect, diminished and augmented fifth
The sixth is a distance of six letters.
Examples: C-A, D-B, C-Ab, C-A#, etc.
There are major, minor, diminished and augmented sixths:
Respectively a major, minor, diminished and augmented sixth