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Intervals

In the world of intervals everything relates to the major scale. From the root note, a major third is the same as the third note of the major scale. A perfect fifth interval is the same as the fifth note in the major scale. A flat third is the same as a major third, except that it is flattened by one note. The same can be said about all other notes.

There is a name (sometimes more than one) for every different interval. There is a lot of seemingly complicated words that are related in naming these, but it's really not that difficult. Here is a list of terminology relating to intervals...

Diminished - Decreased by one note
Augmented - Increased by one note
Sharp - Increased by one note
Flat - Decreased by one note
Double sharp - Increased by two notes (not commonly used)
Double flat - Decreased by two notes (not commonly used)
Major - Relating to all intervals of the major scale
Minor - Relating to all intervals of the minor scale
Dominant - Relating to all intervals of mixolydian mode (most often the flattened seventh and major third)

One complicated thing about intervals is that the second, fourth, and sixth intervals all go by two names. The second is also called the 'ninth', the fourth is also called the 'eleventh', and the sixth is also called the 'thirteenth'. Remember that!

If you want to know more about when you say 'second' and when you say 'ninth' this is explained in the 'naming chords' section.

Here are a number of graphs illustrating all the different names of intervals relating to the root note.

R - Root
b9 - Flattened ninth
2 - Natural ninth
b3 - Flattened third (also minor third or sharp ninth)
3 - Natural third (or major third)
b11 - Flat eleventh (or sharp third)
11 - Natural eleventh
b5 - Diminished fifth (also augmented fourth)
5 - Perfect fifth
b13 - Flatened thirteenth (also augmented fifth)
13 - Natural thirteenth
b7 - Flat seven (also dominant seven)
7 - Major seven