Today we talked about all intervals of all qualities. By the way, the quality of an interval refers to its type (major, minor, etc.). The easiest way to identify intervals is to begin with the key signature of the beginning note. You remember from last class that the qualities of diatonic intervals are:
P1(unison) M2 M3 P4 P5 M6 M7 P8(octave)
So from there, you can figure out how to get to the other qualities of intervals. They are (from ascending to descending:
Before I end this post, let me work through an example or two just to spark your memory. Suppose you are given a Gb and are asked to find the interval a minor 7th above. You know that a 7th above G is F, so you think about the key signature of Gb to see what type of F it is. Gb has 6 flats, but F is the only natural note. So Gb to F is a MAJOR 7th. To get to the minor 7th, you must lower the F a half step. So Gb to Fb is a minor 7th.
Suppose you are given a B and are asked to find the interval an augmented 6th above. You know that G is a 6th above B, and then you think of the key signature of B to see what type of G is diatonic (remember, diatonic 6ths are major). You know B has 5 sharps, of which G is one. So B to G# is a major sixth. To get the augmented sixth, you must raise the G# a half step (Gx). So B to Gx is an augmented sixth.
Last example. Let's say you have an imaginary key given, like finding a diminshed 5th above D#. Well, there is no D# key signature, so we must think in its enharmonic, Eb. A perfect 5th above Eb is Bb, so a diminished 5th would be Bbb. You must then think of the enharmonic for Bbb that would be a type of 5th above D, in other words, some type of A. The enharmonic of Bbb that starts with an A is A natural. So, A diminished 5th above D# is A natural (and you thought it would be something weird!).
By the way, there is an easier way to find those imaginary key intervals. Ask me next class and I'll tell you how.
Last thing I briefly mentioned was interval inversion. This means finding out the interval below the given note. The formula was:
- Augmented (A)
- Major (M)
- Minor (m)
- Diminished (d)
- Augmented (A)
- Perfect (P)
- Diminished (d)
Before I end this post, let me work through an example or two just to spark your memory. Suppose you are given a Gb and are asked to find the interval a minor 7th above. You know that a 7th above G is F, so you think about the key signature of Gb to see what type of F it is. Gb has 6 flats, but F is the only natural note. So Gb to F is a MAJOR 7th. To get to the minor 7th, you must lower the F a half step. So Gb to Fb is a minor 7th.
Suppose you are given a B and are asked to find the interval an augmented 6th above. You know that G is a 6th above B, and then you think of the key signature of B to see what type of G is diatonic (remember, diatonic 6ths are major). You know B has 5 sharps, of which G is one. So B to G# is a major sixth. To get the augmented sixth, you must raise the G# a half step (Gx). So B to Gx is an augmented sixth.
Last example. Let's say you have an imaginary key given, like finding a diminshed 5th above D#. Well, there is no D# key signature, so we must think in its enharmonic, Eb. A perfect 5th above Eb is Bb, so a diminished 5th would be Bbb. You must then think of the enharmonic for Bbb that would be a type of 5th above D, in other words, some type of A. The enharmonic of Bbb that starts with an A is A natural. So, A diminished 5th above D# is A natural (and you thought it would be something weird!).
By the way, there is an easier way to find those imaginary key intervals. Ask me next class and I'll tell you how.
Last thing I briefly mentioned was interval inversion. This means finding out the interval below the given note. The formula was:
9 - interval = inverted interval
Important: major and minor are reversed for inversion. So a major 6th inverted becomes a minor 3rd. Perfects stay perfect, so a perfect 5th inverted is a perfect 4th.
God bless!
Josh
God bless!
Josh
