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Minor scale

In Western music theory, the minor scale is a seven-note diatonic scale that forms the basis of minor keys, featuring a lowered third scale degree—a minor third interval from the tonic—compared to the major scale, which creates its signature somber or melancholic sound. There are three primary variants: the natural minor (also known as Aeolian mode), the harmonic minor, and the melodic minor, each with distinct interval patterns to suit melodic and harmonic contexts. The natural minor scale follows the pattern of whole step, half step, whole step, whole step, half step, whole step, whole step (W-H-W-W-H-W-W), sharing the same as its relative , which begins a minor third above the minor . In contrast, the harmonic minor raises the seventh degree by a half step (W-H-W-W-H-Aug2-H), introducing a for stronger in cadences, such as the dominant V to i. The melodic minor adjusts both the sixth and seventh degrees ascending (W-H-W-W-W-W-H) to avoid the awkward augmented second and provide a , while descending it reverts to the natural minor form for smoother stepwise motion. Historically, the minor scale evolved from the modal system, where the natural minor corresponds to the , one of the eight church modes used in medieval and before the standardization of tonality in the era. These scales underpin a wide range of compositions across genres, from classical symphonies to modern and , enabling expressive harmonic progressions and emotional depth through parallel and relationships.

Fundamentals

Definition and characteristics

The minor scale is a foundational seven-note diatonic scale in Western music theory, characterized by a minor third interval above the tonic, which sets it apart from the major scale and typically evokes a somber or melancholic mood. This defining feature contributes to its emotional depth, often associated with sadness, introspection, or tension in musical expression. As one of the two primary tonal scales alongside the major, it forms the basis for minor keys and is constructed from the natural minor pattern, influencing harmony, melody, and overall tonality in compositions. The minor scale's prominence emerged in Western classical music during the era (approximately 1600–1750), when major and minor tonalities fully developed as structural pillars, allowing composers to convey complex emotions through key choices. Johann Sebastian Bach, a key figure of this period, frequently employed minor scales in works like to explore harmonic progressions and affective contrasts. Beyond classical traditions, the scale's cultural associations with persist in and modern genres such as , where it underscores themes of longing and resilience.

Scale degrees and basic intervals

In the minor scale, the seven scale degrees are identified by numbers from 1 to 7, each with a traditional name that reflects its position relative to the : the first degree (1) is the , the second (2) is the , the third (3) is the , the fourth (4) is the , the fifth (5) is the dominant, the sixth (6) is the , and the seventh (7) is the subtonic. These names are consistent across diatonic scales, though the subtonic specifically denotes the lowered seventh degree in minor, which lies a whole step below the rather than a half step. The basic intervals from the to each define the scale's structure: to the (2) is a major second (two s), to the (3) is a minor third (three semitones), to the (4) is a (five semitones), to the dominant (5) is a (seven semitones), to the (6) is a minor sixth (eight semitones), and to the subtonic (7) is a minor seventh (ten semitones). These intervals arise from the cumulative semitone positions: 0 (), 2, 3, 5, 7, 8, and 10. The stepwise interval pattern of the , measured in whole steps (W, two s) and half steps (H, one ), is W-H-W-W-H-W-W, progressing from the through the . This pattern distinguishes the from the (W-W-H-W-W-W-H) primarily through the positions of the half steps, resulting in lowered third, sixth, and seventh degrees relative to the parallel (e.g., E♭, A♭, and B♭ instead of E, A, and B in C minor). Scale degrees are notated using with carets (e.g., \hat{1}, \hat{3}) or for chords, often incorporating to indicate the flattened third (\hat{3}), sixth (\hat{6}), and seventh (\hat{7}) degrees that characterize the quality. For instance, in the key of , the scale is A-B-C-D-E-F-G, with C (♭\hat{3}), F (♭\hat{6}), and G (♭\hat{7}) marked relative to the . While the natural uses these lowered degrees, the sixth and seventh may be raised in and melodic forms to create different relationships.

Natural minor scale

Construction

The natural minor scale is constructed by beginning with the (root) note and ascending through seven diatonic notes using the fixed pattern of whole step (W), half step (H), whole step (W), whole step (W), half step (H), whole step (W), whole step (W), before returning to the above the . This sequence, denoted as W-H-W-W-H-W-W, ensures the scale's characteristic from the to the third degree, distinguishing it from the . To build the scale in any key, apply this pattern sequentially from the chosen root note, adjusting for the key's as needed. A practical example is the A natural , which contains no sharps or flats and thus serves as an accessible starting point for beginners. Starting on A, the notes are A (), B (whole step above A), C (half step above B), D (whole step above C), E (whole step above D), F (half step above E), G (whole step above F), and A (whole step above G, completing the ). This scale can be represented on a musical in the treble clef as follows: the A on the second space from the bottom, ascending to B in the third space, C on the ledger line below the , D on the middle line, E in the space above, F on the top line, G in the space above, and back to A. The natural minor scale derives from the , the sixth of the seven diatonic modes of the , formed by taking the same pitches as a but starting and ending on its sixth degree. For instance, the A natural minor scale uses the exact notes of the scale (its relative major, a minor third above the ), but reoriented around A as the tonal center. On a piano , the A natural minor scale is particularly straightforward, as it employs only the white keys, starting from the A nearest the center of the and moving rightward through the consecutive white notes: A, B, C, D, E, F, G, A. This white-key configuration highlights the scale's diatonic purity without requiring any black keys.

Relationships to major scales

The natural minor scale maintains a close relationship with its relative , sharing all seven pitches and thus the same . The relative major is derived by starting on the sixth scale degree of the natural minor; for instance, the A natural minor scale (A-B-C-D-E-F-G) is the relative minor of (C-D-E-F-G-A-B), both employing no sharps or flats. This equivalence in pitch content facilitates seamless theoretical and practical connections between the two keys. In contrast, the parallel shares the same note as the natural but alters three scale degrees: the third, sixth, and seventh are raised by a half step to form major intervals relative to the . For example, A natural (A-B-C-D-E-F-G) contrasts with (A-B-C♯-D-E-F♯-G♯), resulting in different key signatures—the parallel typically has three fewer flats or three more sharps than the natural . This difference introduces chromatic elements when transitioning between parallel keys, though the shared provides a point of tonal stability. These relationships have significant practical implications in and , particularly for and chord usage between relative keys. Modulation from a natural minor to its relative major (or vice versa) is common due to the identical pitch sets, often achieved through pivot chords that function diatonically in both keys, such as the subdominant chord in minor becoming the mediant in major. For example, in , a pivot from the chord () to exploits this overlap for smooth key changes without introducing accidentals. Chord borrowing between relative keys leverages their shared diatonic collection, allowing composers to introduce color by reinterpreting under a shifted without altering the . In a natural minor context, from the relative major can be incorporated to evoke a brighter tonal quality, such as using the relative major's dominant as a borrowed for , enhancing expressiveness in progressions while maintaining structural unity.

Harmonic minor scale

Construction and intervals

The harmonic minor scale is derived from the natural minor scale by raising the seventh scale degree by a semitone, creating a leading tone that strengthens resolution to the tonic. This alteration maintains the first six notes of the natural minor while sharpening the seventh, resulting in a scale pattern of whole step, half step, whole step, whole step, half step, augmented second (three semitones), and half step. For example, the consists of the notes A, B, C, D, E, F, and G♯, ascending and descending identically since it lacks variable forms. From the , the intervals are to the second degree, to the third, to the fourth, to the fifth, to the sixth, and to the seventh. The defining feature of this scale is the augmented second interval between the sixth and seventh degrees, which introduces a distinctive, exotic tension compared to the natural minor's whole step in that position. This interval pattern distinguishes the harmonic minor from the natural minor, where the sixth-to-seventh step is a whole step and the seventh-to-tonic is also a whole step.

Harmonic applications

The harmonic minor scale's primary application in Western tonal harmony lies in its provision of a leading tone through the raised seventh degree, enabling a stronger half-step resolution from the dominant (V) chord to the tonic (i) in minor keys. This alteration addresses the natural minor scale's subtonic (♭7), which produces a weaker whole-step approach to the tonic, thus enhancing the sense of resolution in cadences. In practice, this facilitates the authentic cadence (V-i), a cornerstone of tonal progressions, by incorporating the major third and leading tone within the V chord. Common chords derived from the harmonic minor scale include the tonic i (minor triad), the mediant III (augmented triad), the dominant V (major triad), and the submediant VI (major triad). These chords support typical progressions such as i-V-i or i-VI-III-V, which reinforce the key's tonal center while exploiting the scale's augmented second interval for expressive tension. In , such appear frequently; for instance, employs the V-i resolution using the harmonic minor in his Piano Sonata No. 8 in , K. 310, to heighten dramatic closure at phrase ends. Similarly, Beethoven utilizes it in the first movement of No. 5 in C minor, where the B resolves emphatically to C in the V-i , underscoring the work's fateful . In and , the harmonic minor scale's raised seventh ensures proper resolution of tendency tones, with the ascending to the and avoiding parallel fifths or octaves that might arise from the natural minor's ♭7. This adherence to strict voice-leading rules strengthens coherence in polyphonic textures, as seen in the contrapuntal lines of Mozart's and Beethoven's chamber works.

Melodic minor scale

Construction and forms

The melodic minor scale is constructed by altering the , specifically by raising the sixth and seventh scale degrees in its ascending form. This modification starts from the natural minor and sharpens the (6th) and (7th), creating a scale that facilitates smoother melodic progression upward. For example, the A melodic minor scale ascending is A–B–C–D–E–F♯–G♯–A. The pattern for the ascending melodic minor follows whole (W) and half (H) steps as W–H–W–W–W–W–H, which differs from the natural 's W–H–W–W–H–W–W by incorporating consecutive whole steps between the fifth, sixth, and seventh degrees. This pattern overlaps partially with the harmonic scale's raised seventh but adds the raised sixth for melodic purposes. In contrast, the descending form of the melodic minor scale reverts to the , using the unaltered sixth and seventh degrees. For the same key, the A melodic minor descending is A–G–F–E–D–C–B–A, with the interval pattern mirroring the 's descending sequence of W–W–H–W–W–H–W. This dual-form structure arises from theory practices, where the ascending alterations provide smoother stepwise motion by eliminating the augmented second present between the sixth and seventh in the , while the descending form preserves a characteristic minor sound and aligns with harmonic expectations.

Melodic applications

The melodic minor scale, particularly its ascending form, is employed in melodic contexts to facilitate smooth ascending lines over minor-major seventh chords, where the raised sixth and seventh degrees provide a major sixth and seventh that enhance without the dissonance of an augmented second. This form allows performers to create fluid scalar passages that align with the chord's natural thirteenth and , promoting a sense of directed motion in solos. Unlike the , the melodic minor produces a less exotic, more diatonic sound due to its even step pattern, avoiding the jarring that can disrupt linear flow. In , the melodic minor scale serves as the parent scale for several , such as the (seventh mode), which is applied over altered dominant chords to introduce tensions like the flat , sharp , and flat thirteenth for expressive melodic development. Modern compositions often derive lines from it, enabling improvisers to navigate complex progressions with varied color, as seen in transcriptions of trumpet solos by on tunes like "Daahoud," where scalar runs build and release tension over minor and dominant harmonies. Examples of its application include guitar solos in standards such as "Autumn Leaves," where ascending melodic minor patterns over minor-major seventh chords create lyrical ascents, and violin passages in classical repertoire that employ the scale for dramatic, unbroken melodic contours in film scores, contributing to emotional intensity without harmonic disruption. In , the dual forms of the scale—ascending with raised sixth and seventh, descending as natural minor—allow flexibility, while in , the ascending form with raised sixth and seventh is typically used in both directions.

Additional minor scales

Diatonic modes as minor scales

The diatonic modes derived from the major scale that exhibit minor qualities are the Aeolian, Dorian, and Phrygian modes, all characterized by a minor third interval from the tonic, which imparts a fundamentally somber or introspective tonal color. These modes differ primarily in their sixth and seventh scale degrees relative to the natural minor, allowing for varied emotional expressions within modal music traditions such as Renaissance polyphony and modern rock compositions. The Aeolian mode serves as the foundation, identical to the natural minor scale, with the interval pattern whole-half-whole-whole-half-whole-whole (e.g., A Aeolian: A-B-C-D-E-F-G-A). The , starting on the second degree of the , features a raised sixth degree compared to the Aeolian, creating a brighter yet still minor tonality with the pattern whole-half-whole-whole-whole-half-whole (e.g., D : D-E-F-G-A-B-C-D). This mode's subtle lift from the natural minor's flattened sixth evokes a brooding or thoughtful mood, making it prevalent in , as in the English "Scarborough Fair," and in , where it often outlines the in ii-V-I progressions, exemplified by Miles Davis's "So What." In contrast, the , derived from the third degree of the , includes a flattened second degree, yielding a tense, exotic flavor through the half-step pattern half-whole-whole-whole-half-whole-whole (e.g., E Phrygian: E-F-G-A-B-C-D-E). Its distinctive minor second interval contributes to a mysterious or intense quality, commonly associated with Spanish traditions, where it underpins the , and appears in rock for evocative effects, such as in certain riffs emphasizing modal ambiguity. These minor modes were integral to vocal and instrumental works, where composers like employed and Phrygian for their expressive ranges in sacred and secular contexts, predating the dominance of major-minor . In contemporary rock, they provide alternatives to the natural minor, enhancing modal interchange, as seen in the -inflected progressions of songs like ' "."

Non-diatonic variants

Non-diatonic variants of the incorporate chromatic alterations that deviate from the standard , , and melodic forms, often drawing from ethnic or genre-specific traditions to create distinctive tonal colors. These scales introduce additional raised or lowered notes, resulting in augmented seconds or other s not found in purely diatonic structures. The , also known as the Gypsy minor, is derived from the minor by raising the fourth scale , producing the pattern of whole, half, augmented second, half, half, augmented second, half (e.g., in A: A–B–C–D♯–E–F–G♯–A). This alteration creates a tense, exotic sound characterized by two augmented seconds between the third-to-fourth and sixth-to-seventh s. It emerged in 19th-century Hungarian dance music and was popularized by Gypsy ensembles, influencing composers such as in his and in his Hungarian Dances. The scale remains prevalent in Eastern European folk traditions and has been adapted in Western for its dramatic effect. The double harmonic minor scale, sometimes called the Byzantine or Arabic scale, features a flattened second degree alongside the raised seventh of the harmonic minor, yielding the pattern of half, augmented second, half, whole, half, augmented second, half (e.g., in A: A–B♭–C♯–D–E–F–G♯–A). This configuration produces a highly dissonant profile with two augmented seconds, evoking intense emotional depth. Originating from Middle Eastern systems, it has influenced music in and appears in Western compositions seeking orientalist flavors, such as in Nikolai Rimsky-Korsakov's works. Its use highlights cultural exchanges in global . Other non-diatonic variants include the , which applies the ascending melodic minor form bidirectionally (e.g., in A: A–B–C–D–E–F♯–G♯–A), providing a brighter minor for over dominant and minor-major seventh chords in . Similarly, the extends the minor pentatonic by adding a flattened fifth (e.g., in A: A–C–D–D♯–E–G–A), introducing a "" for expressive and tension in and related genres. These scales illustrate the synthetic nature of non-diatonic minors, which often blend diatonic foundations with chromatic elements tailored to specific musical idioms rather than adhering to strict Western modal categories.

Notation and usage

Key signatures

The key signatures for natural minor scales are identical to those of their relative major scales, which begin on the sixth degree of the scale. For instance, uses the same three sharps (F♯, C♯, G♯) as its relative , . Similarly, has no sharps or flats, matching , while features one flat (B♭), corresponding to . In compositions using harmonic or melodic minor scales, the key signature remains that of the natural minor, with adjustments made through added accidentals. For the harmonic minor, the seventh scale degree is raised by a half step (e.g., in A harmonic minor, the natural A minor key signature is used, but G is sharpened to G♯). The melodic minor similarly employs accidentals to raise the sixth and seventh degrees in the ascending form (e.g., F to F♯ and G to G♯ in A melodic minor), reverting to the natural minor descending, all within the base key signature. Minor keys are positioned on the circle of fifths inside the major keys, with each minor key serving as the relative minor to the major key three fifths clockwise from it. This arrangement progresses by perfect fifths, adding one sharp clockwise or one flat counterclockwise, facilitating quick identification of signatures (e.g., shares one sharp () with its relative ). Enharmonic equivalents exist for certain minor keys, such as and , which sound identical but use different notations. G♯ minor employs five sharps (F♯, C♯, G♯, D♯, A♯), while A♭ minor uses seven flats (B♭, E♭, A♭, D♭, G♭, C♭, F♭); in practice, A♭ minor is often preferred to minimize complex sharps in harmonic contexts or for instrumental readability.

Alternative notations

In the movable-do solfège system, the la-based minor assigns syllables to the degrees relative to its relative major, starting the tonic as , followed by , , fa, sol, and returning to la. This approach, used in methods like Kodály training, facilitates recognition by treating the minor tonic as the sixth degree of the . Chord notations for typically append "m" to the root note to indicate a or , such as Cm for or Cm7 for , with a (-) serving as an alternative for minor seventh chords like C-. For alterations derived from harmonic or melodic minor, such as the minor-major seventh chord ( with ), symbols include m(maj7) or mΔ7, while modal variants may use superscripts like those in the () or Phrygian dominant (harmonic minor-based). In jazz lead sheets and real books, melodic scales are often implied through chord symbols like A-Δ or A-Δ7, denoting A with a major seventh, which draws from the ascending melodic 's raised sixth and seventh degrees for harmonic tension and resolution. Slash chords, such as Am/G#, further specify bass notes or inversions in contexts, common in improvisational settings to guide scalar choices. Pre-20th century treatises described scales through distinctions rather than fixed diatonic structures, with Jean-Philippe Rameau's Traité de l'harmonie () emphasizing the mode's raised seventh for dominant (resembling modern harmonic ) while noting separate ascending and descending melodic forms to avoid the augmented second. Earlier French theorists like Jean Rousseau and François Campion notated variants as (e.g., D without full flats) or Aeolian (e.g., A with complete signatures), using "réyennes" and "layennes" labels to reflect incomplete key signatures and mediant inflections differing from later standardized natural .

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