Here's everything u need to know about intervals, theory-wise:
Intervals
The term interval refers to the distance between 2 notes. Here is a little breakdown of intervals used in music:
Intervals of 1, 4, and 5
These three intervals are the only intervals that get the name perfect intervals. Here are examples of these:
C-C = perfect unison
C-F = perfect 4th
C-G = perfect 5th
Now, let's say for instance you decide to raise the last note by 1/2 step:
C-F#
Do you still have a perfect 4th? No, now u have what is called an augmented 4th. Anytime you raise the last note of a perfect interval it becomes an augmented unison, 4th, or 5th:
C-C# = aumented unison
C-F# = augmented 4th (tritone)
C-G = augmented 5th
Now, let's say for instance you decided to lower the last note by 1/2 step:
C-Fb
Do you still have a perfect 4th? No, now u have what is called a diminished 4th. Anytime you lower the last note of a perfect interval it becomes a diminished unison, 4th, or 5th:
C-Cb = diminished unison
C-Fb = diminished 4th
C-Gb = diminished 5th (tritone)
Intervals of 2, 3, 6, 7
These intervals are different from the other 3 cuz they can be major, minor, augmented, or diminshed intervals. First, I'll show the major intervals:
C-D = major 2nd
C-E = major 3rd
C-A = major 6th
C-B = major 7th
Now, to make these intervals minor, just lower the last note of the major interval 1/2 step:
C-Db = minor 2nd
C-Eb = minor 3rd
C-Ab = minor 6th
C-Bb = minor 7th
Now, to make these intervals augmented, just raise the last note or the major interal 1/2 step:
C-D# = augmented 2nd
C-E# = augmented 3rd
C-A# = augmented 6th
C-B# = augmented 7th
Now, to make these intervals diminished, just lower the last note or the major interal 1 whole step:
C-Dbb = diminshed 2nd
C-Ebb = diminished 3rd
C-Abb = diminished 6th
C-Bbb = diminished 7th
After you have reached the diminshed and augmented intervals, if the notes are raised or lowered again, it then becomes doubly augmented or diminished, triple augmented or diminished intervals, etc.
Intervals are used in chord forming as well as sight-singing. It can even help with finding the key of song (relative pitch).