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Lesson 17

Mastering Minor Scales

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Introduction

In our previous lesson, we established a solid foundation by constructing the major scale. We saw how its specific pattern of whole and half steps (W-W-H-W-W-W-H) can be derived from first principles and represented mathematically. You now possess a method for building this fundamental tonal framework from any starting note.

Today, we move from the bright, stable character of the major scale to explore its counterparts: the minor scales. These scales are essential for creating the darker, more introspective, or tense moods prevalent in many forms of electronic music, from techno to industrial. This lesson will guide you through constructing the three primary minor scales—natural, harmonic, and melodic. More importantly, we will investigate the functional and theoretical reasons for their differences, so you understand not just how they are built, but why they exist and when you might use them.


The Natural Minor: A Mode of the Major Scale

The most direct way to understand the natural minor scale is to see it not as an entirely new entity, but as a different perspective on the major scale we already know. The natural minor scale is identical to the Aeolian mode, which is the sixth mode of the major scale.

From a mathematical standpoint, as we saw with modes, this means we can generate the natural minor's interval sequence by simply rotating the major scale's sequence.

Modes of Minor and other Scales | Maths and Music | N J Wildberger

To formalize this connection, let's watch a brief segment from the "Maths and Music" series by N J Wildberger.

Watch the portion of the video discussing the modes of the major scale, from 04:10 to 06:39. The lecturer applies a rotation operator (rho) to the major scale's interval sequence. Pay attention to the fifth rotation (rho to the fifth power), which he identifies as the Aeolian mode. He explicitly states that this is what's often considered a minor scale.

This establishes the natural minor scale as being intrinsically related to a "parent" major scale. For instance, the A natural minor scale (A-B-C-D-E-F-G-A) uses the exact same notes as the C major scale, just starting and ending on A. We will explore this "relative" relationship in depth in our next lesson.

For now, let's define the natural minor by its own unique pattern of steps. The interval sequence is Whole-Half-Whole-Whole-Half-Whole-Whole (W-H-W-W-H-W-W).

In semitones, this corresponds to the sequence: 2-1-2-2-1-2-2.

The Functional "Problem" of the Natural Minor

While structurally sound, the natural minor scale presents a functional issue in tonal music. The crucial seventh degree of the scale, often called the subtonic in this context, is a whole step away from the tonic. This creates a relatively weak melodic and harmonic pull back to the root note. Let's see why this matters.

Minor Scales - Natural, Harmonic, and Melodic

In his video on minor scales, musician and educator Michael New provides an excellent explanation of this concept.

Watch the first part of the video, from the beginning to 03:50. He contrasts the major scale's seventh degree, the leading tone (a half-step below the tonic), with the natural minor's seventh degree (a whole-step below). Notice his demonstration of how the leading tone creates a sense of tension that strongly resolves to the tonic, a feeling that is diminished in the natural minor.

This lack of a strong resolution is not necessarily "bad"—it contributes to the ambiguous, floating quality of some music. However, for creating the strong tension-and-release cycles common in Western harmony, composers sought a modification.


The Harmonic Minor: Engineering a Resolution

The harmonic minor scale is a direct and elegant solution to the natural minor's lack of a leading tone. The construction is simple: take the natural minor scale and raise the seventh degree by a half step.

Natural Minor (A): A - B - C - D - E - F - G
Harmonic Minor (A): A - B - C - D - E - F - G#

This single change has profound consequences. The G# is now only a half step from the tonic A, creating the powerful leading-tone-to-tonic resolution that was missing.

This diagram clearly shows the difference between the A natural minor and A harmonic minor scales. The 7th degree is raised, changing the interval between the 6th and 7th notes from a whole step (2 semitones) to an augmented second (3 semitones).

The new interval pattern becomes: W-H-W-W-H-WH-H. The "WH" represents an interval of a whole-and-a-half step (3 semitones), known as an augmented second. This distinctive interval gives the harmonic minor scale its characteristic tense, exotic, and somewhat neoclassical sound.

In semitones, the sequence is: 2-1-2-2-1-3-1.

The primary motivation for this change is harmonic. Let's see what it does to the chords built from the scale.

Minor Scales - Natural, Harmonic, and Melodic

Let's return to Michael New's video to explore the harmonic implications.

Watch the segment from 03:50 to 09:58. This is a critical section. He explains how raising the 7th degree transforms the chord built on the fifth degree (the dominant chord) from minor to major. This major dominant chord (containing the leading tone) has a much stronger desire to resolve to the minor tonic chord, forming the cornerstone of minor key harmony (a V-i cadence). He also notes that this change introduces some harmonically "weird" chords, like an augmented chord on the third degree.


The Melodic Minor: Smoothing the Path

The harmonic minor scale solves the harmonic problem, but it introduces a new melodic one: the awkward leap of an augmented second between the 6th and 7th degrees. For vocal and instrumental melodies, this can be a difficult or jarring interval to sing or play smoothly.

The melodic minor scale is designed to solve this melodic issue. When ascending, it raises both the 6th and 7th degrees of the natural minor scale.

Natural Minor (A): A - B - C - D - E - F - G
Melodic Minor (A, ascending): A - B - C - D - E - F# - G#

This eliminates the augmented second, creating a much smoother melodic line. The interval pattern for the ascending melodic minor becomes W-H-W-W-W-W-H. Notice how similar this is to the major scale; only the third degree is different.

Ascending vs. Descending: A Tale of Two Traditions

The purpose of raising the 6th and 7th degrees was to create a smooth melodic path up to the tonic. When descending, that leading-tone pull is no longer needed.

  • Classical Tradition: In classical theory, the melodic minor scale reverts to the natural minor scale when descending. The F# and G# are lowered back to F and G. The logic is that the "fixes" are only needed on the way up.
  • Modern/Jazz/Electronic Music Tradition: In most modern contexts, the distinction is dropped. The ascending form of the melodic minor is often used for both ascending and descending passages. This version of the scale has its own unique, sophisticated sound that is very popular in jazz and has found its way into many electronic genres.

For your purposes in music production, you can generally consider the ascending form as "the" melodic minor scale.

Minor Scales - Natural, Harmonic, and Melodic

Once again, Michael New's video provides a clear summary of the melodic minor and its two traditional uses.

Watch the segment from 09:58 to 13:43. He explains the motivation for raising the 6th degree and demonstrates the difference between the classical (descending is natural minor) and modern (ascending form used both ways) approaches.


Summary and Comparison

Let's consolidate what we've learned. The three minor scales are variations on a theme, each created for a specific functional purpose.

A comparison of the C major, C natural minor, C harmonic minor, and C melodic minor (ascending) scales on a piano keyboard. This visual makes the alterations to the 6th and 7th degrees particularly clear.

Here is a summary table comparing the three minor scales starting from a tonic note (1). The intervals are shown relative to the major scale (M) and natural minor scale (nm).

Scale Type Interval Pattern (W/H) Semitone Sequence Key Intervals from Tonic Purpose
Natural Minor W-H-W-W-H-W-W 2-1-2-2-1-2-2 minor 3rd, minor 6th, minor 7th The "default" minor; a mode of the major scale.
Harmonic Minor W-H-W-W-H-WH-H 2-1-2-2-1-3-1 minor 3rd, minor 6th, Major 7th Creates a leading tone for strong harmonic resolution.
Melodic Minor W-H-W-W-W-W-H 2-1-2-2-2-2-1 minor 3rd, Major 6th, Major 7th Creates a leading tone while keeping a smooth melodic contour.

You can explore these interval names further in the following resource.

Intervals in Major and Minor Scales - Music Crash Courses

This page from Music Crash Courses provides clear tables showing the intervals from the tonic for each of the minor scales.

Review the three sections and their tables: Natural Minor Melodic Minor Harmonic Minor Focus on how the 3rd, 6th, and 7th intervals change between the scale types.


Conclusion

Today we have deconstructed the three essential minor scales. You've seen that they are not arbitrary collections of notes but are logically derived structures, each designed to fulfill a specific harmonic or melodic function.

Key Takeaways:

  • The natural minor scale (W-H-W-W-H-W-W) is the 6th mode of the major scale. It has a tonally weak seventh degree (a whole step from the tonic).
  • The harmonic minor scale is a natural minor with a raised 7th degree. This creates a leading tone for stronger harmonic function (especially a major V chord) but introduces a melodically awkward augmented second interval.
  • The melodic minor scale (ascending form: W-H-W-W-W-W-H) raises both the 6th and 7th degrees of the natural minor. This provides a leading tone while creating a smooth melodic line, avoiding the augmented second.

You now have the theoretical tools to construct and understand the scales that will form the basis of most of your harmonic and melodic work. In our next lesson, we will delve deeper into the connection between major and minor scales by exploring relative and parallel keys and the organizational tool known as the circle of fifths.