Learn how note patterns become scales and how a tonic turns those notes into a key.
Introduction to Scales and Keys
Scales organise notes into repeatable patterns, while keys use those patterns to create a sense of musical direction and resolution.
A scale gives us an ordered collection of notes. A key takes those notes and places one of them at the centre, creating a musical home known as the tonic.
In this lesson, you will learn how scale formulas work, how major, minor and pentatonic scales are constructed, and how scales relate to musical keys.
What Is a Scale?
A scale is an ordered collection of notes built from a particular pattern of intervals.
The interval pattern determines the type of scale. Once you know the pattern, you can begin from any note and construct the same scale type.
Most scales repeat when they reach the octave. For example, C D E F G A B C begins and ends on C, but the final C is one octave higher.
Scales provide the main collections of notes used to create melodies, chords and harmony. Music can also include notes from outside its main scale, but the scale gives us its underlying framework.
How Scale Formulas Work
Scale formulas describe the intervals between the tonic and the other notes in the scale. They can be written using whole tones and semitones, scale-degree numbers, or formal interval names.
On the guitar, one fret equals one semitone and two frets equal one whole tone. A scale formula can be moved to any tonic. The notes change, but the interval pattern remains the same.
The Major Scale
The major scale is one of the most important scales in Western tonal music. What defines it is a specific pattern of intervals between the notes.
Using W for a whole tone and H for a semitone, the pattern is W – W – H – W – W – W – H. Its scale-degree formula is 1 – 2 – 3 – 4 – 5 – 6 – 7.
Building the C Major Scale
Beginning from C and following the major-scale pattern gives us C D E F G A B C.
C major follows W-W-H-W-W-W-H. Smaller notes show the chromatic notes between its scale tones.
This is the C major scale.
Because it contains only natural notes, C major is often used as the first example when learning how the major scale works.
Scale Degrees vs Intervals
Earlier in the course we introduced intervals, which describe the distance between two notes. Intervals include both a number and a quality, such as a major 3rd or perfect 5th, and they can be measured between any two notes.
Scale degrees are different. Instead of describing the distance between two notes, they describe the position of a note within a specific scale, relative to the root.
To see how these ideas relate, let's look at the C major scale.
Notes C D E F G A B C
Step pattern W W H W W W H
C Major Scale
Degree
1
2
3
4
5
6
7
8
Notes
C
D
E
F
G
A
B
C
Interval
P1
M2
M3
P4
P5
M6
M7
P8
Here we can see three different ways of describing the same set of notes:
The step pattern shows the spacing between each note.
The scale degrees show each note's position within the scale.
The intervals describe the distance from the root to each note.
These systems are closely related but describe different aspects of the same structure. Intervals describe distance between notes, while scale degrees describe how notes are positioned within a scale.
Building a Major Scale
Because the major scale is defined by its interval pattern, it can be built starting from any note.
If we start on a different note and apply the same pattern, we will create a different major scale. For example, starting on G produces:
G Major Scale
Degree
1
2
3
4
5
6
7
8
Notes
G
A
B
C
D
E
F♯
G
Interval
P1
M2
M3
P4
P5
M6
M7
P8
An F natural would sit only one semitone above E. The major-scale formula requires a whole tone between the sixth and seventh degrees, so F must be raised to F♯.
F♯ is used rather than G♭ because G is already the tonic. Using each letter once keeps the scale correctly spelled. The notes change when the tonic changes, but the major-scale formula remains the same.
The Natural Minor Scale
So far we have focused on the major scale and how it forms the basis of major keys. However, music is not only written in major. Another extremely important type of scale is the minor scale.
The minor scale follows a different pattern of intervals, which gives it its own distinct sound and character. The version we begin with is called the natural minor scale.
Like the major scale, the minor scale is defined by a specific pattern of whole tones and semitones.
Using A as an example, this gives us the A minor scale:
A B C D E F G
Notice that A minor contains the same notes as C major, but the tonic (home note) is different.
Minor Scale Structure
The scale can also be described using scale degrees and interval labels relative to the root.
A Natural Minor Scale
Degree
1
2
♭3
4
5
♭6
♭7
8
Notes
A
B
C
D
E
F
G
A
Interval
P1
M2
m3
P4
P5
m6
m7
P8
So the formula for the natural minor scale can be written as:
1 2 ♭3 4 5 ♭6 ♭7
Compared to the major scale, the 3rd, 6th, and 7th degrees are lowered by one semitone. These changes are what give the minor scale its darker sound.
Relative Minor Keys
An interesting relationship exists between major and minor keys. Every major key has a relative minor key that uses exactly the same notes.
The relative minor is found by starting from the 6th scale degree of the major scale.
For example, the C major scale is:
C D E F G A B
If we count to the 6th scale degree, we get A.
If we build a scale starting on A using the same notes, we get:
A B C D E F G
This is the A natural minor scale.
Because these two scales share the same notes, A minor is called the relative minor of C major. The notes are identical, but the tonal centre changes from C to A, which gives the music a different sound and feeling.
This relationship exists for every major key. Each one has a relative minor built from its 6th scale degree.
Pentatonic Scales
A pentatonic scale contains five notes rather than seven. The two most common forms are the major pentatonic and minor pentatonic scales.
These scales are particularly important on guitar because their patterns are easy to visualise and are widely used in rock, blues, pop, country, funk and many other styles.
The Major Pentatonic Scale
The major pentatonic scale uses the formula 1 – 2 – 3 – 5 – 6. It is the major scale with the 4th and 7th degrees removed.
C major is C D E F G A B. Removing F and B gives C major pentatonic: C D E G A.
The Minor Pentatonic Scale
The minor pentatonic scale uses the formula 1 – ♭3 – 4 – 5 – ♭7. It is the natural minor scale with the 2nd and ♭6 degrees removed.
A natural minor is A B C D E F G. Removing B and F gives A minor pentatonic: A C D E G.
The minor pentatonic scale is often one of the first scales guitarists learn because its patterns are relatively simple and work well for riffs, melodies and improvisation.
What Is a Key?
A key is a tonal framework centred around one note called the tonic. The tonic acts as the musical home or main point of rest.
A key brings together a tonic, a main scale, chords built from that scale, and a sense of movement towards and away from the tonic.
The Key of C Major
The C major scale contains C D E F G A B. When music mainly uses these notes and treats C as the tonal centre, it is in the key of C major.
The diatonic chords are C – Dm – Em – F – G – Am – Bdim. These chords are formed by stacking thirds from each degree of the C major scale.
Major and Minor Keys
Keys are commonly described as major or minor. The tonic alone does not define the complete key; the scale type also matters because major and minor scales contain different interval patterns, notes and chords.
C major
C minor
Relative Major and Minor Keys
Every major key has a relative minor key that uses the same seven notes. The relative minor begins on the sixth degree of the major scale.
C major contains C D E F G A B. Its sixth degree is A, so using the same notes with A as the tonic gives A natural minor: A B C D E F G.
C major and A minor share the same notes, but their tonal centres are different. Changing the tonic changes how the notes and chords are heard.
Scales and Keys Are Related but Different
A scale is an ordered pattern of notes. A key is a tonal system in which one note acts as the main point of rest.
You can practise the notes of C major as a scale without necessarily creating music that sounds firmly rooted in C major. To establish the key, the melody and harmony must make C feel like the tonal centre.
Why Scales and Keys Matter
Understanding scales and keys helps you build scales from any tonic, identify the notes available within a key, understand where chords come from, follow progressions, transpose ideas, and recognise relationships between major and minor music.
You do not need to memorise every key immediately. Begin by understanding the formulas and learning how to apply them from different starting notes.
Quick Test
Click each question to reveal the answer.
What is a scale?
An ordered collection of notes built from a particular pattern of intervals.
What is the whole-tone and semitone formula for the major scale?