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Subdominant

In music theory, the subdominant refers to the fourth scale degree of a diatonic scale and the triad or seventh chord constructed on that degree, denoted as IV in major keys and iv in minor keys.^[1]^[2] This chord is named for its position a perfect fifth below the tonic, mirroring the dominant's interval above it, and it serves as a key element in establishing harmonic progression.^[3] For example, in the key of C major, the subdominant scale degree is F, and the subdominant chord is F major (F-A-C).^[2] The subdominant functions primarily as a pre-dominant harmony, creating a sense of departure from the tonic while building moderate tension that typically progresses to the dominant (V) chord before resolving to the tonic (I), as seen in the common IV-V-I cadence.^[1]^[3] This role contributes to the structural coherence of phrases in Western tonal music, appearing frequently in genres from classical to pop and jazz, where it adds contrast and emotional variety—brighter and more open in major keys, more somber in minor.^[2] Unlike the highly unstable dominant, the subdominant exhibits a neutral or preparatory character, neither fully at rest like the tonic nor strongly pulling toward resolution.^[1] In broader harmonic contexts, the subdominant can be expanded or substituted with related chords, such as the ii chord (supertonic minor), which shares similar pre-dominant qualities due to common tones and voice leading, enhancing phrase development and modulation.^[3] Its placement between the tonic and dominant underscores the symmetrical organization of primary triads in tonal harmony, a foundational concept in music education and composition.^[2]

Definition and Fundamentals

Scale Degree

In diatonic scales, the subdominant refers to the fourth scale degree, denoted as ^4. This note occupies a pivotal position within the scale structure, serving as the foundation for harmonic elements that contribute to tonal progression.^[4] For instance, in the C major scale (C-D-E-F-G-A-B), the subdominant is F, positioned as the fourth note in the ascending sequence. Similarly, in C minor (natural form: C-D-E♭-F-G-A♭-B♭), F remains the subdominant.^[5] The consistent placement of this degree underscores its role across major and minor tonalities.^[4]^[5] Intervallically, the subdominant forms a perfect fourth above the tonic, creating a stable yet preparatory interval that contrasts with the dominant's perfect fifth above the same reference point. The nomenclature "subdominant" originates from its location a perfect fifth below the tonic, inverting the dominant's upward relationship and reflecting the Latin prefix "sub-" meaning "under." This symmetric intervallic design highlights the subdominant's relational balance within the scale.^[4]^[6] In Roman numeral analysis, a system for denoting harmony based on scale degrees, the triad constructed on the subdominant is labeled IV in major keys (indicating a major triad) and iv in minor keys (indicating a minor triad). Here, the subdominant note functions explicitly as the root of this triad, anchoring its pitch content and determining its quality.^[7]^[8] Acoustically, the subdominant's role as the root emphasizes its foundational stability in chordal formations, where it generates overtones that align with the scale's diatonic framework, supporting broader harmonic resolutions without introducing tension.

Triad and Chord

The subdominant triad is constructed by stacking thirds on the fourth scale degree of the diatonic scale, forming a three-note chord consisting of the root, major or minor third, and perfect fifth.^[9] In major keys, it is a major triad; for example, in C major, the subdominant triad is F–A–C.^[9] In minor keys, it is a minor triad; for example, in C minor, the subdominant triad is F–A♭–C.^[9] The subdominant seventh chord extends the triad by adding a minor seventh interval above the root, creating a four-note chord that functions as a pre-dominant harmony.^[9] In major keys, this is denoted as IV⁷ and comprises a major triad with an added minor seventh; for example, in C major, it is F–A–C–E♭.^[10] In minor keys, it is denoted as iv⁷ and uses a minor triad with a minor seventh; for example, in C minor, it is F–A♭–C–E♭.^[9] Inversions of the subdominant triad and seventh chord rearrange the notes so that a pitch other than the root is in the bass, altering the chord's voicing while preserving its intervallic structure.^[11] The first inversion of the subdominant triad places the third in the bass and is notated with a superscript 6 (IV⁶ in major keys or iv⁶ in minor keys).^[12] In minor keys, the first inversion of the supertonic triad (ii⁶, such as F–A♭–D in C minor) often serves in subdominant contexts due to its shared function.^[9] The second inversion places the fifth in the bass and is notated with ⁶₄ (IV⁶₄ or iv⁶₄).^[12] For the subdominant seventh chord, first inversion is notated as ⁶₅, with the third in the bass.^[11] In jazz and modern harmonic practice, subdominant chords frequently incorporate extensions and altered voicings to enhance color and texture.^[13] Common extensions include the added ninth (add9), which appends the ninth scale degree to the triad without altering the seventh; for example, in C major, F–A–C–G.^[13] Suspended fourth (sus4) voicings replace the third with the fourth scale degree, yielding an open sonority with subdominant qualities, such as F–B♭–C in C major.^[14] These variations allow for flexible resolutions and richer improvisational opportunities.^[15]

Harmonic Function

Relation to Tonic and Dominant

In tonal harmony, the subdominant functions as a pre-dominant chord, serving as an intermediary that builds tension between the stable tonic (I) and the tense dominant (V).^[16]^[17] This role contrasts the tonic's sense of resolution and repose with the dominant's drive toward closure, positioning the subdominant (typically IV) as a preparatory harmony that anticipates the dominant's arrival.^[18] Unlike the tonic, which anchors the key, or the dominant, which creates instability through its leading tone, the subdominant introduces mild dissonance and forward momentum without the full urgency of the dominant.^[16] Within the circle of fifths, the subdominant occupies a pivotal position adjacent to the dominant, facilitating root motion by descending fifth (or ascending fourth) that underpins much of tonal progression.^[19] This relationship—IV progressing to V—forms the core of diatonic motion, where the subdominant's root leads smoothly to the dominant's, reinforcing the key's gravitational pull toward resolution.^[19] Voice leading principles further emphasize the subdominant's seamless connection to the dominant, prioritizing stepwise motion and retention of common tones where possible to ensure contrapuntal smoothness.^[20]^[21] For instance, in a C major IV (F-A-C) to V (G-B-D) progression, the bass ascends stepwise from F to G, while upper voices may move by step (e.g., A to B, C to D) to minimize leaps and maintain independence.^[20] In functional harmony theory, as developed by Hugo Riemann, the subdominant is designated as the "S" function, representing a parallel yet contrasting pole to the tonic (T) and dominant (D).^[22] Riemann's framework groups chords by their relational roles rather than strict scale degrees, with S embodying expansion and preparation that complements T's stability and D's contraction, thus structuring the underlying syntax of tonal music.^[15] This triadic functional model underscores the subdominant's essential place in balancing harmonic forces.^[23]

Role in Progressions and Cadences

The subdominant chord, denoted as IV in major keys or iv in minor, functions primarily as a pre-dominant harmony, bridging the tonic and dominant to build tension toward resolution. This role positions it as a preparatory element that typically progresses to the dominant (V) chord, creating forward momentum in tonal music. In plagal cadences, the subdominant resolves directly to the tonic (IV–I or iv–i), providing a sense of gentle closure often associated with sacred music, such as the "Amen" cadence at hymn endings.^[17]^[24]^[25] In authentic cadences, the subdominant precedes the dominant to form the extended progression IV–V–I (or iv–V–i), enhancing the phrase model's directed motion from stability (tonic) through preparation (subdominant) to tension (dominant) and back to resolution. This setup is integral to the I–IV–V–I cycle, a foundational progression in tonal harmony that underscores much of Western music, from classical to folk traditions. The supertonic chord (ii or ii°) often substitutes for IV due to their shared pitch content and pre-dominant function, as seen in the ii–V–I progression, which offers a smoother voice leading alternative while maintaining the preparatory role. Deceptive cadences may incorporate the subdominant indirectly, where after a V–vi motion, the music returns to IV or ii to lead into a subsequent authentic cadence, avoiding premature closure.^[16]^[18]^[17] The subdominant also facilitates modulation as a pivot chord, exploiting its diatonic presence in related keys—for instance, the IV chord in C major (F major triad) functions as the tonic (I) in F major, enabling smooth shifts to the subdominant key. This pivot technique is particularly effective for pre-dominant chords, as their weaker tension allows seamless reinterpretation without abrupt disruption. In contemporary pop music, the subdominant appears in the ubiquitous I–V–vi–IV loop, where it contributes emotional variety and cyclical drive, as evidenced in numerous chart-topping songs.^[26]^[26]^[27]

Contexts and Variations

In Major and Minor Keys

In major keys, the subdominant functions as the IV triad, a major chord constructed on the fourth scale degree, providing a bright and consonant sound that contrasts with the tonic while preparing resolution to the dominant. For example, in C major, the IV chord is F major (F-A-C), emphasizing the subdominant tone (F) and contributing to a sense of stability and uplift within the diatonic framework.^[9]^[28] This major quality arises from the natural major scale's structure, where the fourth, fifth, and sixth degrees form a major triad, often used in plagal cadences for a gentle, conclusive effect.^[28] In minor keys, the subdominant typically appears as the iv triad, a minor chord on the fourth scale degree in natural minor, yielding a darker and more introspective tone, such as F minor (F-A♭-C) in C minor.^[9]^[28] However, composers frequently raise the sixth scale degree via the harmonic or melodic minor to transform it into a major IV triad (F-A-C in C minor), introducing a brighter, more consonant element borrowed from the parallel major for heightened expressivity.^[28] This minor iv quality, with its lowered third (A♭), inherently adds melancholy and tension, distinguishing it from the subdominant's role in major keys.^[28] Key-specific progressions highlight these differences: in major keys, the IV-I forms a full plagal cadence, offering peaceful resolution and uplift, as in the hymn-like conclusion of many pieces.^[28] In minor keys, the IV-i (or iv-i) progression can serve as a half-cadence variant, creating suspense or emotional depth by delaying full resolution, while the minor iv often evokes melancholy through its dissonant leanings toward the dominant.^[28] Overall, the subdominant in major keys promotes consonance and elevation, whereas in minor it amplifies pathos, shaping the affective contour of tonal music.^[28] In modal music, the subdominant's role adapts to the altered scale degrees, shifting its harmonic quality and function from the diatonic major-key IV. In the Mixolydian mode, characterized by a flattened seventh scale degree, the subdominant chord remains a major IV, while the bVII chord often assumes a dominant-like role, creating a brighter, less resolved tension compared to Ionian harmony.^[29]^[30] This alteration emphasizes modal color over strong cadential pull, as seen in voicings that incorporate tensions like the 9th or 13th for added expressiveness.^[30] In the Dorian mode, with its minor third and major sixth, the subdominant manifests as a major IV chord—a departure from the minor iv of the Aeolian mode—lending a brighter, more uplifting quality to the otherwise melancholic tonality.^[29] This major IV functions primarily as a subdominant, facilitating smooth transitions back to the tonic minor (i) and evoking a sense of hopeful departure.^[29] The flattened seventh further colors the progression, often leading to bVII substitutions that reinforce the subdominant area without resolving dominantly.^[31] Chromatic subdominants expand the diatonic palette through secondary and borrowed forms, introducing temporary tonal shifts. Secondary subdominants, such as IV/V (the subdominant of the dominant), tonicize the V chord by approaching it from a fourth above, creating chains like ii/V or IV/V that heighten tension before dominant resolution.^[32] Borrowed subdominants, like the flat subdominant (bIV) in major keys, draw from the parallel minor, adding a modal or bluesy inflection; for instance, in C major, Ab major serves as bIV, evoking emotional depth through its lowered root.^[32] In jazz and blues, the subdominant IV chord anchors the 12-bar blues form, appearing in bars 5–6 and 9–10 to provide contrast and narrative progression.^[33] Typically voiced as a dominant seventh (IV7) for added dissonance, it often incorporates 9ths or 13ths in jazz variations, enhancing color and facilitating improvisational extensions, as in the quick-change to IV in bar 2.^[33] Substitutions like ii–V–I in bar 9 replace the plain IV, blending subdominant function with dominant motion for sophisticated harmonic flow.^[33] Non-Western traditions feature analogous functions to the subdominant, though without direct chordal equivalence due to their melodic emphasis. In Indian ragas, the fourth swara (madhyama, or Ma) often acts as a pivotal note, implying subdominant-like tension and departure, as in phrases that melodically suggest a IV chord before returning to the tonic sa.^[34] These elements prioritize modal ascent and emotional narrative over functional harmony.

Historical and Compositional Usage

Origins in Western Theory

During the medieval and Renaissance periods, modal theory in Gregorian chant further developed these ideas, identifying the note a fourth above the finalis as a key point of melodic repose and stability, acting as an early analogue to the subdominant by supporting the finalis without the tension of the dominant (typically a fifth above).^[35] In plagal modes, this fourth-degree note facilitated plagal cadences and reciting tones, bridging modal practices toward emerging tonal hierarchies. The subdominant received its formal theoretical recognition in the 18th century through Jean-Philippe Rameau's Traité de l'harmonie réduite à ses principes naturels (1722), where he conceptualized the triad built on the fourth scale degree as the natural counterpart to the dominant, forming with the tonic a complete system of fundamental harmonies derived from the fundamental bass.^[36] Rameau described this chord—often an added-sixth on the subdominant degree—as essential for defining the mode and enabling smooth progressions, contrasting the dominant's dissonant seventh with the subdominant's consonant support. In the late 19th century, Hugo Riemann advanced this framework in his functional harmony theory, designating the subdominant (S) as one of three primary functions alongside the tonic (T) and dominant (D), and codifying the characteristic cycle S-D-T as the normative progression underlying tonal music.^[37] Riemann grouped chords like IV, ii, and vi under the subdominant function, emphasizing its role in building tension toward the dominant while maintaining relational ties to the tonic through common tones.

Examples in Classical and Modern Works

In Johann Sebastian Bach's chorale "Jesu, Joy of Man's Desiring" from Cantata BWV 147, the subdominant chord (IV) plays a key role in forming plagal cadences that provide a gentle, resolving close, particularly in the harmonized melody's phrasing, emphasizing the text's devotional serenity.^[38] This usage exemplifies the subdominant's pre-dominant function in Baroque sacred music, where IV often precedes the tonic to evoke a sense of peaceful affirmation.^[39] In Wolfgang Amadeus Mozart's Piano Sonata No. 14 in C minor, K. 457, the development section of the first movement employs subdominant pivots, such as modulations to the subdominant minor (F minor), to expand thematic material and heighten dramatic tension within sonata form.^[40] These harmonic shifts illustrate the Classical era's strategic use of the subdominant to facilitate smooth key changes and prolong instability before returning to the tonic. Richard Wagner's opera Tristan und Isolde features chromatic subdominants prominently in the prelude, where the iconic Tristan chord (F-B-D♯-G♯) functions as an altered subdominant in A minor, enriched with appoggiaturas and half-diminished elements to create unresolved tension and yearning.^[41] This innovative treatment expands the subdominant's role beyond diatonic norms, incorporating chromaticism to blur tonal boundaries and drive the Romantic leitmotif-driven narrative. In modern popular music, The Beatles' "Let It Be" (1970) highlights the subdominant through its recurring I-IV-I-V progression in C major, particularly in the chorus and piano solo, where the plagal IV-I motion evokes reassurance and draws on gospel influences for emotional uplift.^[42] Similarly, in the jazz standard "Autumn Leaves" (1945), the subdominant function appears via ii-IV substitutions, such as treating the ii7 (e.g., Am7♭5 in G minor) as a proxy for IV to add color and fluidity to the ii-V-I chains, enhancing improvisational flexibility.^[43]

References

[1]
Subdominant Chord (IV or iv) - (AP Music Theory) - Fiveable
Definition. The subdominant chord, labeled as IV for major chords and iv for minor chords, serves as a predominant harmony in Western music.
[2]
Ch.2.14 Degrees I, IV and V: tonic, subdominant and dominant
The fourth degree: the subdominant A triad built on the fourth tone of a scale - the fourth degree (IV), is called the subdominant. The fourth degree is a ...
[3]
Harmonic Functions : The Dominant and Subdominant - Teoria
The dominant and subdominant chords help define the tonic chord. The dominant chord is one fifth above the tonic and the subdominant chord is one fifth below.
[4]
Major Scales, Scale Degrees, and Key Signatures - VIVA's Pressbooks
A major scale is an ordered collection of half (H) and whole (W) steps with the ascending succession W‑W‑H‑W‑W‑W‑H. Major scales are named for their first ...
[5]
Minor Scales, Scale Degrees, and Key Signatures - VIVA's Pressbooks
As the chapter on major scales discussed, the Latin prefix sub means “under”—the submediant is a third below the tonic, and the subdominant is a fifth below.<|control11|><|separator|>
[6]
Scale Degrees - musictheory.net
Notice that the subdominant is the same distance below the tonic as the dominant is above it (a generic fifth). The prefix sub is Latin for “under” or ...
[7]
Scale degree names and functions | Intro to Musicianship Class Notes
Subdominant. The fourth scale degree, located a perfect fourth above the tonic; Serves a predominant function, often leading toward the dominant; In the key of ...Scale Degree Names · Functions Of Scale Degrees · Scale Degree Tendencies
[8]
Roman Numeral Analysis: Triads - musictheory.net
The modern Roman numeral system uses different styles for each triad type. Upper-case numerals represent major triads. Lower-case numerals represent minor ...
[9]
[PDF] Spelling Subdominant-Function Triads and Seventh Chords in Major ...
Diatonic chords that have a subdominant function (also called a predominant function) play an important role in tonal music and tonal chord progressions.
[10]
16.2 Figured Bass Inversion Symbols
Following are the figured bass inversion symbols most commonly used for triads and seventh chords. (Remember that figured bass numbers represent intervals ...Missing: subdominant | Show results with:subdominant
[11]
Roman Numerals and Inversion Symbols - David Kulma
Triad Inversions. Root Position, First Inversion, Second Inversion. No added symbol, superscript 6, superscript 6 and subscript 4. V, ii6, I 6 4. Seventh Chord ...<|separator|>
[12]
[PDF] Piano Jazz Chord Progressions
Chord Extensions and Voicings. Jazz chords are often extended beyond the basic triads and seventh chords. Common extensions include: 9th, 11th, 13th chords ...
[13]
Understanding suspended chords | Anton Schwartz - Jazz Music
Mar 10, 2013 · In other words, a sus chord has a subdominant, rather than a dominant, harmonic function. It is really an alternative voicing for a subdominant ...
[14]
[PDF] Riemann's Functional Framework for Extended Jazz Harmony
While the diatonic superimposition of a subdominant chord over dominant chord—as is suggested by the Doppeldominant—is not a particularly common chord in jazz, ...
[15]
Harmonic Function - Music Theory for the 21st-Century Classroom
Harmonic function is the tendency of chords to progress or remain at rest. There are four types: tonic, dominant, pre-dominant, and tonic prolongation.
[16]
24. The Pre-Dominant Function – Fundamentals, Function, and Form
When a dominant-function chord follows a tonic-function chord, it provides contrast and builds harmonic tension.
[17]
The Forces of Tonal Harmony – Music Composition & Theory
The Pre-dominants: Supertonic [ii], Mediant [iii], Sub-dominant [IV], and Sub-mediant [vi]; wherein tension is building between the Tonic and ultimately leading ...
[18]
9.1 The Circle of Fifths Progression
The circle of fifths progression is (I – IV – vii – iii – vi – ii – V – I), also known as the 'circle of descending fifths', and is diatonic.
[19]
Voice Leading - Music Theory for the 21st-Century Classroom
“SATB” voice leading refers to four-part chords scored for soprano (S), alto (A), tenor (T), and bass (B) voices. Three-part chords are often specified as SAB ( ...
[20]
Voice Leading Paradigms for Harmony in Music Composition
Mar 22, 2023 · Keep common tones (notes present in both chords) in the same voice. · Move remaining voices by step if possible. · Move no single voice more than ...
[21]
MTO 1.3: Kopp, On the Function of Function - Music Theory Online
Riemann's familiar prescription of T–S–D–T is often cited as an example of logical necessity in his functional theory.
[22]
[PDF] Distinguishing Predominant and Subdominant Behavior in ...
Riemann posited the idea that harmonic function involves the grouping of harmonies that share scale degrees. That is, all harmonies may be associated with ...
[23]
Harmonic Function and Cadences
Oct 21, 2021 · The second and fourth can function as the subdominant. The second is considered to have weaker function than the fourth. We'll begin our ...
[24]
Music Theory, level 1A - SJSU
The plagal cadence moves from 4 (subdominant) to 1 (tonic). This cadence is commonly called the "Amen cadence" because it is often found at the end of ...
[25]
28. Modulation – Fundamentals, Function, and Form
As mentioned above, pivot-chord modulations are most effective when one or both interpretations of the pivot chord have pre-dominant function. For this reason, ...
[26]
[PDF] Harmony and Syntax in Contemporary Pop Music
By far the most well-recognized is I V vi IV (ordered by its most common 2 syntactical arrangement).
[27]
MusicTheory.pdf - Music Theory for the 21st-Century Classroom
Mar 3, 2025 · Music Theory for the 21st–Century Classroom is an openly–licensed online four–semester college music theory textbook. This text differs from ...
[28]
Modal Schemas – Open Music Theory - VIVA's Pressbooks
In major-mode pop songs, the ♭VII chord is borrowed from the mixolydian mode. ... The ♭VI chord has subdominant function, and the ♭VII chord has dominant function ...
[29]
Modal Harmony in Jazz Composition - Berklee Online Take Note
Sep 5, 2015 · The chart on the next page demonstrates inversions of voicings in fourths in D Dorian, E Phrygian, and G Mixolydian. STUDY JAZZ COMPOSITION ...
[30]
Dorian mode in Pink Floyd songs | Music Tales
Aug 18, 2023 · The key feature of the Dorian mode is the major subdominant chord rooted in the fourth scale degree. Its use in combination with a tonic ...
[31]
[PDF] Secondary Subdominants - Toby Rush
so a secondary subdominant can have any subdominant function chord above the slash, and a IV or V below the slash. however, the most commonly found secondary ...
[32]
Blues Harmony – Open Music Theory - VIVA's Pressbooks
12-Bar Blues · The first phrase is entirely tonic harmony (I). · The second phrase contains two bars of subdominant (IV) and two bars of tonic (I). · The final ...Blues Harmony · 12-Bar Blues · More Blues Schemas
[33]
[PDF] the Changing Role of Teacher in North Indian Classical Music
Dec 1, 2013 · This raag does sometimes melodically imply the subdominant chord in certain phrases: R m D P - m D - D n D P - The focus is always brought back ...
[34]
subdominant - fourth degree of the diatonic scale in music - Tonalsoft
subdominant. [John Chalmers, Divisions of the Tetrachord]. In traditional [music] theory, the subdominant is the fourth degree of the [diatonic] ...
[35]
[PDF] melodic function and modal process in gregorian chant - Hugo Ribeiro
This study proposes a theory of voice leading in Gregorian chant, using melodic functions derived from psalmody, and tracing tenor and final functions.
[36]
None
Summary of each segment:
[37]
[PDF] a grammar for elementary tonal ha - Dmitri Tymoczko
Syntactic progressions move from tonic to subdominant to dominant to tonic. a. the first subdominant chord in a T-S-D-T sequence may be preceded by a pre- ...
[38]
[PDF] 'RQbertW Ottman
known "Jesu, Joy of Man's Desiring," to illustrate the concept of cadence, a ... cadence consists of a progression from the subdominant to the tonic triad.
[39]
[PDF] Jesu, Joy of Man's Desiring - An Analysis - LearnCigarBoxGuitar.com
JESU, JOY OF MAN'S DESIRING - AN ANALYSIS. PAGE 1 OF 4. DURATION: TWO ... The next 2 bars change tonality, firstly up to the subdominant (we'd call it the IV ...
[40]
The Sonata: An Analysis of Piano Sonata “No. 14 in C Minor, K. 457 ...
Jul 13, 2016 · These themes are development in closely related keys, including F minor, the subdominant minor, and G minor, the dominant minor. The return of ...
[41]
Everything you wanted to know about the Tristan Chord - Monsalvat
A new look at the Tristan chord. The history of the chord and how Wagner used it in 'Tristan und Isolde'. Analysis and explanation.
[42]
Alan W. Pollack's Notes on "Let It Be"
"Let It Be" quite effortlessly overflows with an emotional earnestness and prodigious melodic thrust that are both familiar qualities common to much of Paul's ...
[43]
2-5-1 Chord Progression Masterclass: Learn the ii-V-I Progression!
Jan 14, 2025 · The jazz standard All The Things You Are moves in the same way as Autumn Leaves. The root of each chord moves up in fourths until the third ...