Lecture 7
Major and Minor Relationships


In this week's lecture there are no new scales but we will expand the meaning of key signatures and discuss relationships between major and minor scales.

7.1

Relative relationships

As mentioned briefly last week, each natural minor scale shares the same notes with a major scale of a different letter name. As you recall the A natural minor scale does not use any sharps or flats, just like the C major scale. The A natural minor scale is the relative minor scale of C major because they both have the same notes. Notice that the sixth note of C major is letter A. Also notice that the third note of A natural minor is letter C. These relationships are consistent throughout all of the major scales and their relative minor scales. As in real life, these relationships work both ways. We can refer to a major scale and its relative minor, and/or a minor scale and its relative major. As an example, C major's relative minor is A minor (always the natural minor form). Here's an example from the other perspective: E minor's relative major is G major because both of those scales use one sharp (F#). It is implied that the natural minor form is used when comparing major and minor scales.

Just as we can use a key signature to indicate a major key, we can use a key signature to indicate a minor key. We don't need to create any new key signatures, we'll simply re-use the ones we already have. Each key signature will now have two possible interpretations, a major key or the relative minor key.

How do you know which interpretation is the correct one? We will examine some strategies for making the correct decision in this lecture.

7.2

Minor Key Signatures

Before listing all of the Minor key signatures, I want to restate the fact that the sixth note of a major scale is the starting note of its relative minor. For each key signature, think of the major key that signature represents. The sixth note of that scale is the letter name of the minor scale also represented by that key signature. This is true in every case. The key signature of one sharp represents G major and the sixth note of G major is E. Therefore the key signature of one sharp also represents E minor. Here's another example: The key signature of two sharps represents D major. The sixth note of D major is B, so the key signature of two sharps also represents B minor.

Minor Key Signatures using Sharps

E minor
(G major's sixth note is E)
Key signature of 1 sharp, Treble Clef
Key signature of 1 sharp, Bass Clef
B minor
(D Major's sixth note is B)
Key signature of 2 sharps, Treble Clef
Key signature of 2 sharps, Bass Clef
F# minor
(A Major's sixth note is F#)
Key signature of 3 sharps, Treble Clef
Key signature of 3 sharps, Bass Clef

C# minor
(E Major's sixth note is C#)
Key signature of 4 sharps, Treble Clef
Key signature of 4 sharps, Bass Clef
G# minor
(B Major's sixth note is G#)
Key signature of 5 sharps, Treble Clef
Key signature of 5 sharps, Bass Clef
D# minor
(F# Major's sixth note is D#)
Key signature of 6 sharps, Treble Clef
Key signature of 6 sharps, Bass Clef

A# minor
(C# Major's sixth note is A#)
Key signature of 7 sharps, Treble Clef
Key signature of 7 sharps, Bass Clef

7.3

Minor Key Signatures using Flats

D minor
(F Major's sixth note is D)
Key signature of 1 flat, Treble Clef
Key signature of 1 flat, Bass Clef
G minor
(Bb Major's sixth note is G)
Key signature of 2 flats, Treble Clef
Key signature of 2 flats, Bass Clef
C minor
(Eb Major's sixth note is C)
Key signature of 3 flats, Treble Clef
Key signature of 3 flats, Bass Clef

F minor
(Ab Major's sixth note is F)
Key signature of 4 flats, Treble Clef
Key signature of 4 flats, Bass Clef
Bb minor
(Db Major's sixth note is Bb)
Key signature of 5 flats, Treble Clef
Key signature of 5 flats, Bass Clef
Eb minor
(Gb Major's sixth note is Eb)
Key signature of 6 flats, Treble Clef
Key signature of 6 flats, Bass Clef

Ab minor
(Cb Major's sixth note is Ab)
Key signature of 7 flats, Treble Clef
Key signature of 7 flats, Bass Clef


7.4

Circle of Fifths Revisited

Here is the traditional layout for key signatures now updated to include the minor key signature designations.

Circle of Fifths

7.5

Parallel relationship

There is another common comparison used between major and minor scales. The relationship between major and minor scales with the same starting note is known as a PARALLEL relationship. C major's 'parallel minor' is C minor and conversely C minor's 'parallel major' is C major. They share the same starting notes and a few other notes but they have different key signatures. When comparing C major and C natural minor you will notice that there are three different notes. So that the different notes will be more obvious, I won't use a key signature for the examples in this section.

C major Treble ClefC4D4E4F4G4A4B4C5spacebarline
C natural minor Treble ClefC4D4Eb4F4G4Ab4Bb4C5spacebarline

Notice the comparison between A major and A natural minor. There are three different notes in this key also. All major scales and their parallel natural minor scales will have three different notes. The 3rd, 6th and 7th scale degrees will always be different when comparing a major scale and its parallel minor (natural minor form).

A major Treble ClefA4B4C#5D5E5F#5G#5A5spacebarline
A natural minor Treble ClefA4B4C5D5E5F5G5A5spacebarline

The changes made to create the harmonic and melodic forms are moving those scales closer to the parallel major scale. Let's look at the C major scale and the three forms of the parallel minor, C natural minor, C harmonic minor and C melodic minor.

C major Treble ClefC4D4E4F4G4A4B4C5spacebarline
C natural minor Treble ClefC4D4Eb4F4G4Ab4Bb4C5spacebarline
C harmonic minor Treble ClefC4D4Eb4F4G4Ab4B4C5spacebarline
C melodic minor Treble ClefC4D4Eb4F4G4A4B4C5spacebarline

As it turns out, throughout musical history composers have used both the relative and parallel relationships between major and minor keys. For example if Beethoven was writing an extended composition in the key of F minor, it was common for him to use the relative major key (Ab major) or the parallel major key (F major) depending on the desired musical effect. In fact, additional, closely related keys were commonly used.

So, what is a closely related key?

Using the circle of fifths as a reference, a closely related key is a major or minor key that is at an adjacent location in the circle to the current key. Expanding this definition just a little, one could include the parallel major/minor relationships. As an example, the closely related keys of Am would include C major, D minor, F major (one notch counterclockwise) , E minor and G major (one notch clockwise). With the expanded definition one also includes the parallel major, A major.

Are we saying that a composer might start a composition in one key and then change to another key somewhere in the middle of the composition?

Yes, a complete examination of this process is beyond the scope of this course, but it is common for some compositions to change keys in the middle then return to the original before the end.

7.6

Some examples

The first example is the C major scale followed its relative minor, A minor. The order of the scales in this example is C major, A natural minor, C major, A harmonic minor, C major, A melodic minor (ascending/descending), C major, A melodic minor.


Open MIDI file
Open mp3 file
Play file


The second example is C major and its parallel minor, C minor. The order of the scales is C major, C natural minor, C harmonic minor, C melodic minor (ascending/descending), C melodic minor.


Open MIDI file
Open mp3 file
Play file



7.7

How do you know whether a key signature represents a major or minor key?

There are several clues one can look for in a composition to determine whether a key signature is used as a major key signature or a minor key signature. The first thing one can look for is the last bass note of a composition. Most compositions end with the key note in the bass, so if you see a key signature of 2 sharps (D major or B minor) and the last bass note is B, the composition is most likely in B minor. Conversely, if the last note is a D then one would assume that the key signature represents D major.

Additional clues are given when the harmonic minor or melodic minor forms are used. Traditionally, a minor key signature represents the natural minor form. If composers want to use the harmonic or melodic forms (as is common) they will have to add an accidental sharp or natural sign to create these forms. If the key signature is one sharp ( E minor or G major) and there is an additional D# accidental used, this is a clue that the E harmonic minor form is being used. Why? Because D# is needed to create the harmonic minor form when a key signature of one sharp is being used. In this case, one should conclude that the key signature of one sharp represents E minor. A similar situation exists if you were to see both accidentals C# and D# within the key signature of one sharp. These notes are needed to create E melodic minor. However, since a composition might 'modulate' to another key in the middle, these clues are not always accurate.

7.8

Beethoven loved minor

Ludwig von Beethoven (1770-1827) wrote many great pieces of music in minor keys. One of his most famous piano pieces is the Adagio from the 'Moonlight' piano sonata. This piece is in the key of C# minor but it modulates to several other keys in the middle section before returning to C# minor. Do you know what key signature is used to indicate C# minor? Yes, four sharps. Additional accidentals are needed throughout this piece, it does not stay strictly within the context of four sharps for very long.


Open MIDI file
Open mp3 file
Play file



7.9

Chopin loved minor

Frederic Chopin (1810-1849) also wrote many great pieces in minor keys. Here is his prelude in C minor for piano. What key signature would you expect to see for C minor? If you said three flats, you get ice cream. This piece has been the inspiration for a few pop ballads over the years. As in the Beethoven piece, there are several notes outside of the key signature that require accidentals.


Open MIDI file
Open mp3 file
Play file


Links

Reading:

Required Test 9 is in Quizzes.

(Optional) JavaScript quizzes.


The Required Test - An explanation

Below is a sample from the test for this week. This IS NOT the actual test but instead a short example from the test so that you can get an explanation of how to take them and the "look and feel". To take the real test you must go to the Quizzes area.

Test 9 - Minor Key Signatures


Below are the MINOR key signatures in random order. Click the button next to the correct letter name for each key signature.

How it works

Each key signature represents a minor key. The menu lists all of the standard minor keys. The examples shown are the following minor keys:
  1. Ab minor
  2. F# minor
  3. D minor

The third menu is set to the correct answer.

Key signature of 7 flats, Treble Clef
Key signature of 3 sharps, Bass Clef
Key signature of 1 flat, Treble Clef
What is the name of the above Key Signature?
What is the name of the above Key Signature?
This menu is set to the correct answer


End of lecture 7
© Mike Sult