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Augmented sixth chord

An augmented sixth chord is a type of chromatic predominant harmony in tonal music, defined by the presence of an augmented sixth interval between its bass note (the lowered sixth scale degree, or le) and an upper voice (the raised fourth scale degree, or fi), which resolves outward by half step to form an octave on the dominant pitch.^[1]^[2] These chords have origins in the Renaissance, were developed during the Baroque, and became staples of Classical-era composition, functioning to heighten tension before the dominant chord in cadential progressions, often in minor keys but adaptable to major via borrowed tones.^[3]^[4] There are three principal varieties, each distinguished by their pitch content and voice-leading possibilities: the Italian sixth (It^{+6}), the sparsest form consisting of just three notes (le, fi, and the tonic do); the French sixth (Fr^{+6}), which adds the lowered second scale degree (ra) for four voices; and the German sixth (Ger^{+6}), incorporating the lowered third (me) and enharmonically equivalent to a dominant seventh chord.^[1]^[2]^[3] All types typically appear in first inversion with le in the bass and resolve to the root-position dominant (V) or V^7, creating contrary motion that emphasizes the chord's dissonant augmented sixth as dual leading tones to the dominant root.^[4]^[5] Beyond their cadential role, augmented sixth chords facilitate modulation by acting as pivot harmonies or through enharmonic reinterpretation, as seen in works by composers like Beethoven and Schubert, where the German sixth can pivot to a new key's dominant seventh.^[3]^[4] Their national labels—Italian, French, and German—derive from 18th- and 19th-century treatises but lack precise historical or geographic ties, serving instead as mnemonic conventions in theory pedagogy.^[2]^[1]

Fundamentals

Augmented Sixth Interval

The augmented sixth is a compound interval consisting of ten semitones, produced by enlarging a major sixth (nine semitones) by one chromatic semitone.^[6] For instance, the interval from C to A♯ exemplifies this, where the upper note is raised chromatically from A. Enharmonically, it equates to a minor seventh (such as from C to B♭), but its contextual use in tonal harmony distinguishes it as an augmented sixth rather than a seventh, emphasizing its role in creating tension through chromatic alteration.^[5] In comparison to other sixth intervals, the augmented sixth exceeds the consonant major sixth (nine semitones, like C to A) and the minor sixth (eight semitones, like C to A♭), while a diminished sixth spans seven semitones (e.g., enharmonically C to G). Acoustically, the augmented sixth generates dissonance due to its proximity to the unstable minor seventh and the inherent tritone embedded within its harmonic implications, making it a chromatic interval that demands resolution in traditional voice leading.^[7] This dissonance arises from the unequal temperament distribution of its semitones, producing beats and tension not found in the more stable major or minor sixths.^[8] The recognition of the augmented sixth interval emerged prominently in 18th-century music theory, as part of broader developments in understanding chromatic harmonies. Jean-Philippe Rameau, in his treatises such as the Code de musique pratique (1760), grappled with intervals like the augmented sixth, initially denying them a fundamental bass due to their irregular structure but later incorporating examples in resolution contexts.^[5] Johann Philipp Kirnberger, building on such ideas in the late 18th century, analyzed the interval's functional equivalences in harmonic progressions, viewing it as a key element in chromatic substitutions.^[9] By the 19th century, theorists like those in the Berlin school further codified its properties, solidifying its place in tonal analysis.^[10] Notational examples illustrate the interval across keys. In C minor, it appears from A♭ (the flattened submediant) to F♯ (the raised subdominant), spanning the bass and soprano voices for dramatic effect; on a staff, this would show A♭ in the bass clef to F♯ in the treble. In C major, a less common but analogous instance occurs from A (submediant) to F♯ (raised subdominant), where F♯ is chromatically sharpened; visually, the staff would depict A below middle C ascending to F♯ above, highlighting the widened sixth. This interval typically frames the outer voices in augmented sixth formations, providing the structural tension essential to the chord.^[1]

Basic Chord Structure

The augmented sixth chord is constructed around an augmented sixth interval formed by the outer voices, typically the lowered submediant (♭6) in the bass and the raised subdominant (♯4) in the upper voice, creating a dissonant frame that spans ten semitones.^[1] In a minor key, this interval arises chromatically from the diatonic scale, with inner voices filled by scale degrees such as the tonic (1) or dominant (5), providing harmonic support without a defined root, as the chord functions more as an interval-based sonority than a triadic structure.^[11] For instance, in C minor, the basic form consists of A♭ (♭6), C (1), and F♯ (♯4), interpreted as a chromatic mediant due to its pivot between submediant and dominant functions.^[1] Enharmonically, the augmented sixth chord can be understood as containing a tritone, such as between the tonic and ♯4 (e.g., C to F♯), which contributes to its instability and pull toward resolution, or as a linear progression emphasizing stepwise motion toward the dominant chord.^[5] This dual interpretation highlights its role as a predominant harmony, bridging subdominant and dominant areas through chromatic alteration rather than traditional root motion.^[11] Voice leading in the augmented sixth chord prioritizes contrary motion between the outer voices, with the bass (♭6) ascending by semitone to the dominant root (5) and the upper voice (♯4) descending by semitone to the same pitch, converging on an octave or unison to reinforce the dominant's stability.^[5] Inner voices move smoothly, often by step or common tone, to avoid parallels and maintain the chord's linear drive, as seen in the C minor example where A♭ rises to G, F♯ falls to G, and C may hold or descend to B for added tension release.^[1]

Types

Italian Sixth

The Italian sixth chord is the most basic variant of the augmented sixth chord, formed as a triad comprising the flat submediant (♭6), the tonic (1), and the sharp subdominant (♯4). In C minor, this structure yields the notes A♭, C, and F♯, creating an augmented sixth interval between A♭ and F♯ while positioning C as the mediant voice.^[4]^[3] This configuration emerged as a key element of chromatic harmony in the late Classical period, prized for enabling fluid voice leading toward the dominant without introducing excessive complexity. Composers such as Mozart and Beethoven frequently employed it to heighten tension in pre-dominant contexts.^[4] Acoustically, the Italian sixth generates dissonance through the augmented sixth interval (enharmonically equivalent to a minor seventh) between ♭6 and ♯4, compounded by the tritone between the tonic and ♯4, all without a fourth note to alter the core tension. This sparse voicing relies solely on the stacked major third (♭6 to 1) and the ensuing augmented third (1 to ♯4) for its expressive pull. It typically appears in first inversion with ♭6 in the bass and resolves to the dominant chord by contracting the augmented sixth to an octave while the inner voices move by step.^[3]^[1]

French Sixth

The French sixth chord consists of the scale degrees ♭6, 1, ♭2, and ♯4, with the ♭6 typically in the bass, forming a dissonant tetrad that enriches the pre-dominant harmony. In C minor, for example, this yields the notes A♭ (bass), B♭, C, and F♯, where the augmented sixth interval spans from A♭ to F♯.^[1] This structure adds the ♭2 for increased tension compared to the triad-based Italian sixth, which omits it.^[12] Introduced in 19th-century music theory treatises as a means to enhance melodic expressiveness and harmonic color, the French sixth became particularly prevalent in French Romantic opera.^[13] Composers such as Charles Gounod and Georges Bizet favored it for its dramatic intensity, employing it to heighten emotional depth in vocal lines and orchestral passages.^[3] In voice leading, the ♯4 resolves downward by a third to the third of the dominant chord (V), often pairing with the tonic note to form parallel tenths, while the ♭6 ascends to the fifth of V and the ♭2 ascends to the root or third.^[3] This resolution expands the augmented sixth interval outward to an octave on the dominant's root, propelling the harmony forward with smooth contrary motion. The added ♭2 provides flexibility in four-voice textures, allowing it to resolve upward without clashing with the leading tone. Typically in first inversion with ♭6 in bass, it resolves to root-position V or V⁷.^[1]^[12]

German Sixth

The German sixth chord consists of the flat submediant (♭6), the tonic (1), the lowered third (♭3), and the sharpened fourth scale degree (♯4), forming a tetrad that emphasizes the augmented sixth interval between ♭6 and ♯4. In C minor, this structure yields the notes A♭, C, E♭, and F♯, creating a dissonant sonority that intensifies the pull toward the dominant.^[2] This variant represents a common form among augmented sixth chords, incorporating the lowered third for added harmonic tension, in contrast to simpler iterations like the Italian or French sixth. Historically linked to German music theorists, the German sixth gained prominence through the analyses of Moritz Hauptmann, who examined augmented sixth chords as chromatic entities in his 1853 treatise Die Natur der Harmonik und Metrik.^[14] It appears frequently in the symphonic output of Romantic composers such as Johannes Brahms and Robert Schumann, where its rich dissonance suits extended orchestral development; for instance, Brahms employs it in the finale of his Symphony No. 4 (measure 289) to heighten dramatic transitions.^[15] Similarly, Schumann integrates the chord in sonata forms within his symphonies, leveraging its tension for structural pivots.^[16] Enharmonically, the German sixth equates to a dominant seventh chord when respelled, such as A♭-C-E♭-F♯ functioning as A♭7 (A♭-C-E♭-G♭, with F♯ as G♭), the dominant seventh of the Neapolitan (D♭ major).^[17] This allows reinterpretation for modulatory purposes. In orchestral contexts, piano reductions often preserve this full-voiced texture, as seen in excerpts from Brahms' symphonies where the chord's four notes are distributed across staves to capture the original scoring's density and color. Typically in first inversion with ♭6 in bass, it resolves to V or V⁷, with the ♭3 resolving down to the third of V.^[18]

Other Types

Beyond the standard Italian, French, and German augmented sixth chords, several less common variants exist, often arising from enharmonic respellings, added tones, or contextual adaptations for specific harmonic effects. The Swiss sixth, also known as the English sixth in some treatises, is an enharmonic variant of the German augmented sixth, constructed with the flat submediant (♭6), tonic (1), raised supertonic (♯2), and raised subdominant (♯4).^[19]^[20] In the key of C minor, this yields the notes A♭–C–D♯–F♯, where the ♭3 (E♭) of the German form is respelled as ♯2 (D♯) to facilitate particular voice-leading paths, such as upward resolution of the ♯2 to avoid parallel intervals.^[20] This chord is rare in common-practice repertoire, primarily employed for modulatory purposes where the altered spelling enhances chromatic connections between keys, as noted in mid-20th-century harmony texts.^[19] Hybrid forms blending elements of the core types with additional pitches appear in later music, diverging from strict classical constructions. These variants can function in jazz and film scoring to create ambiguous, colorful pre-dominant functions, often as tritone substitutes while preserving the characteristic dissonance of the augmented sixth; their flexibility allows integration into modal or extended harmonic progressions without full resolution to the dominant.^[5] Nineteenth-century theoretical discussions occasionally reference experimental augmented sixth configurations.^[21]^[22] These historical curiosities, drawn from analyses of Romantic-era scores, highlight experimental tendencies in chromatic harmony before standardization. In 20th-century music, augmented sixth variants find application in atonal or polytonal contexts, where their dissonant intervals provide textural depth without tonal implications. Igor Stravinsky, for example, employs a three-note augmented sixth ostinato—A♭–F♯–G—in the bass of measures 25–29 in the first movement of Symphony of Psalms (1930), functioning as a chromatic pedal leading to the dominant G while evoking modal ambiguity.^[23] Similarly, in The Rite of Spring (1913), Stravinsky fuses augmented sixth elements with dominant seventh chords at the outset of "Danse sacrale," creating layered dissonances that blur functional boundaries in his early modernist style.^[24]

Harmonic Function

Standard Resolution

The standard resolution of an augmented sixth chord positions it as a pre-dominant harmony that intensifies tension before progressing to the dominant (V) chord, typically in minor keys. In this resolution, the bass note representing the flat sixth scale degree (♭6) moves down by a half step to the fifth (5) of the dominant, while the raised fourth (♯4), which forms the augmented sixth interval with the bass, ascends by a half step to the same dominant root (5); inner voices adjust smoothly, such as the tonic (1) descending to the leading tone (7) or the flat third (♭3, in French and German types) falling to the supertonic (2). For instance, an Italian sixth chord in C minor (A♭–C–F♯) resolves to the dominant G major triad (G–B–D), with A♭ descending to G, F♯ ascending to G, and C moving to B, creating a characteristic expansion of the augmented sixth interval outward to an octave on the dominant root.^[25]^[26] This voice-leading pattern derives its theoretical justification from the creation of compelling half-step pulls toward the dominant root from both above and below, enhancing forward momentum, while the augmented sixth interval between ♭6 and ♯4—enharmonically equivalent to a dissonant tritone in related formations—resolves outward, mirroring the expansion typical of tritone resolutions in dominant seventh chords. The chord functions analogously to a subdominant sixth (iv⁶) with chromatic alteration or the flat-second degree (♭II), borrowing from modal mixture to heighten chromaticism without disrupting the diatonic framework.^[25]^[26] In Schenkerian analysis, the augmented sixth chord serves as an elaboration of the fundamental tonic-dominant axis, unfolding through chromatic passing tones that intensify the Urlinie descent and prolong the dominant preparation within larger structural levels.^[27] Annotated examples appear frequently in Haydn's string quartets, where the chord approaches cadences to underscore dramatic tension.^[28]^[29]

Alternative Functions

Augmented sixth chords can function as subdominant harmonies, expanding pre-dominant areas through modal mixture by borrowing the flat-six scale degree from the parallel minor, often appearing as ♭VI in major keys.^[30] For instance, in a major key context, the Italian sixth chord on the flat submediant (e.g., Ab–F♯–C in C major) serves as a borrowed harmony, providing chromatic color before resolving deceptively away from the expected dominant.^[31] This subdominant role intensifies the pull toward the tonic without the standard cadential drive to V, as seen in progressions where it follows or substitutes for iv⁶.^[30] In modulation, augmented sixth chords enable pivots to distant keys through enharmonic reinterpretation, particularly the German sixth, which can be respelled as a dominant seventh chord.^[32] For example, a German sixth in C-sharp minor (Ab–C♯–E–G) may be reinterpreted enharmonically as the dominant seventh of F♯ major (C♯–E♯–G♯–B, with respelling of Ab as G♯ and G as A♭/G♯ contextually), facilitating a shift to remote tonalities by altering resolution directions.^[32] This technique exploits the chord's symmetric intervals to create sudden tonal shifts without common-tone anchors.^[30] In 20th-century music, augmented sixth chords expand beyond pre-dominant functions, serving as static harmonic color in impressionist works or altered dominants in jazz. Composers like Claude Debussy employed the French sixth for prolonged ambiguity and expressive dissonance, as in the opening of Pelléas et Mélisande, where it creates non-cadential harmonic veiling resolved retroactively to D minor.^[33] Maurice Ravel similarly used parallel French augmented sixths with added minor ninths in L'Heure espagnole (mm. 16–17) for dramatic, non-traditional prolongation without immediate V resolution, enhancing metrical disorientation.^[33] In jazz, these chords function as tritone substitutes or chromatic intensifications of subdominants, akin to altered dominant sevenths (e.g., the French sixth enharmonically equivalent to V⁷/♭VII), adding tension in improvisational contexts.^[5]

Inversions and Voice Leading

Root Position and Inversions

The augmented sixth chord in root position places the flattened submediant (♭6) in the bass, producing a characteristically wide spacing that highlights the augmented sixth interval between the bass note and the raised subdominant (♯4) in the upper voices. This configuration, as seen in the Italian sixth chord (e.g., A♭–C–F♯ in C minor), creates a tense, expansive sonority that underscores the chord's predominant role while allowing for doubled notes like the tonic in the Italian and French types. The root position is the standard form, providing structural stability and facilitating the chord's typical outward resolution tendencies without altering the core intervallic identity. Augmented sixth sonorities with other scale degrees in the bass are not considered true inversions, as ♭6 is not a “root” in the same sense as in triads and is essential to the chord's identity and function.^[11] In the first inversion, the bass shifts to the tonic or dominant scale degree, such as placing the tonic (e.g., C in the Italian sixth above) below the ♭6 and ♯4, which promotes smoother bass lines in harmonic progressions and reduces the vertical span for more intimate voicing. This position is commonly employed for the Italian sixth to integrate seamlessly into sequences or modulatory passages, altering the sound to feel less grounded and more fluid compared to the root position, while preserving the augmented sixth's dissonance. Notational conventions in figured bass for this inversion of the Italian sixth often use 6/3 or "augmented 6/3" to denote the major third and minor sixth above the bass, reflecting the adjusted intervals.^[11] The second inversion, featuring the ♯4 in the bass (e.g., F♯–A♭–C for the Italian sixth), is rare due to the awkward placement of the leading tone-like ♯4 at the foundation, which can disrupt typical voice distribution and increase dissonance density. Nonetheless, it occasionally appears in sequential writing to maintain motivic patterns or achieve coloristic effects, resulting in a brighter, more unstable timbre that contrasts the root position's breadth. Figured bass symbols for such cases might adapt to 4/2 or similar, though they are infrequently specified given the inversion's uncommon use.^[11]

Avoiding Parallel Fifths

One common voice-leading challenge in augmented sixth chords arises specifically with the German sixth when resolving it directly to the dominant chord in root position, as this progression frequently produces parallel perfect fifths between the bass (♭6) and the inner voice carrying the minor third (♭3) of the tonic. In C minor, for instance, the German sixth (A♭–C–E♭–F♯) resolves with the bass A♭ descending by half step to G (the root of V) and the ♭3 E♭ similarly descending to D (the fifth of V), maintaining the perfect fifth interval (A♭ to E♭) in parallel motion to another perfect fifth (G to D). This violates traditional counterpoint rules against parallel perfect intervals, as outlined in standard harmony texts emphasizing independent voice motion.^[30]^[34] To circumvent these parallels, the most prevalent solution is to interpose a cadential ⁶/₄ chord (i⁶/₄ in minor or I⁶/₄ in major) between the German sixth and the dominant, allowing staggered motion that redistributes the voices without forbidden intervals. In the C minor example, the German sixth progresses to i⁶/₄ (C–E♭–G–C), with voice leading typically featuring the bass A♭ ascending a major third to C, the augmented sixth F♯ rising a whole step to G, the tonic C ascending a minor third to E♭, and the ♭3 E♭ descending a major third to C; this then resolves to V (G–B–D–G) with standard cadential motion (bass C to G, G to B or D, E♭ to D or B). This approach adheres to counterpoint principles from treatises like those of Johann Joseph Fux, adapted for chromatic harmony, by promoting contrary or oblique motion among voices.^[30]^[35] Alternative corrections involve adjusting the inner voices during direct resolution to the dominant, such as directing the ♭3 upward to the leading tone (e.g., E♭ to B in C minor) or employing contrary motion where the tonic (C) descends to B while the ♭3 ascends, breaking the parallel path while preserving the overall resolution. These techniques appear in classical repertoire; for example, in Schubert's Waltz in C Major, D. 779, No. 16, an initial German sixth resolution risks parallels but is corrected via inserted i⁶/₄ motion, as analyzed in harmony studies. Similarly, Beethoven uses a cadential ⁶/₄ in measures 129–130 of his Piano Sonata No. 13 in E♭ major, Op. 27 No. 1 ("Quasi una fantasia"), to avoid parallel fifths in the resolution of a German sixth.^[30]^[1] Such issues are rare in the Italian and French sixths due to their three-note structure, which omits the ♭3 and thus lacks the specific fifth above the bass that generates the parallel motion upon resolution.^[34]

Relationships to Other Chords

Equivalence to Seventh Chords

Augmented sixth chords exhibit enharmonic equivalences to various seventh chords through note respelling, allowing for reinterpretation in different harmonic contexts. This relationship arises primarily from the shared tritone interval—the augmented sixth between the bass and the uppermost note—which corresponds to the tritone between the third and seventh in a dominant seventh chord. Such equivalences facilitate modulatory pivots and highlight the chords' dual predominant and dominant-like functions.^[36] The German augmented sixth chord demonstrates the most straightforward equivalence to a dominant seventh chord. For instance, in A minor, the German sixth consists of the pitches F–A–C–D♯, where the augmented sixth interval is D♯ to F. Respelling D♯ as E♭ yields F–A–C–E♭, precisely the dominant seventh chord (V⁷ of B♭ major). This respelling transforms the chord's function from a predominant leading to the tonic into a dominant preparing resolution to B♭, enabling enharmonic modulation up a half step. Similarly, in G major, the German sixth E♭–G–B♭–C♯ respells to E♭–G–B♭–D♭ (with C♯ as D♭), forming the dominant seventh of A♭ major. These reinterpretations underscore the chord's pitch-class flexibility, often exploited in classical and jazz contexts for tritone substitutions.^[11]^[36] The Italian augmented sixth, with only three voices, equates enharmonically to an incomplete dominant seventh chord. Consider the Italian sixth in C minor: A♭–C–F♯. Respelling F♯ as G♭ yields A♭–C–G♭, the root, major third, and minor seventh of an A♭ dominant seventh chord (missing the perfect fifth E♭). Adding the ♭7 (E♭) to the Italian sixth effectively yields the full German sixth, bridging to the complete dominant seventh equivalence. This partial structure emphasizes its subdominant role while hinting at dominant tension.^[37]^[2]^[38] The French augmented sixth extends this pattern to an altered dominant seventh with a flatted fifth. In C minor, the French sixth A♭–C–D–F♯ contains pitches that can be respelled as an A♭⁷(b5) chord (A♭–C–E♭♭(D)–G♭(F♯)), where the augmented sixth F♯–A♭ becomes the tritone C–G♭ in dominant terms. This equivalence positions the French sixth as a doubly altered dominant substitute, often functioning like two superimposed dominant sevenths a tritone apart, enhancing its chromatic intensity.^[36]^[39] In theoretical frameworks, these equivalences carry significant implications. Hugo Riemann's functional theory interprets augmented sixth chords as altered subdominants (S function), specifically as chromatic variants of the subdominant parallel (Sp), where the enharmonic ties to seventh chords reinforce their preparatory role toward the dominant without fully assuming dominant function. This view contrasts with Schenkerian analysis, which often treats them as voice-leading prolongations of subdominant or dominant structures; for example, in analyses of Beethoven's works, the German sixth appears side-by-side with dominant seventh notations to illustrate linear progressions, such as outward resolution of the tritone to the tonic octave. These reinterpretations reveal the chords' "virtual" roots and enharmonic ambiguities, central to understanding chromatic harmony in tonal music.^[40]^[41]

The Tristan Chord

The Tristan chord, a specific augmented sixth chord, appears prominently in the prelude to Act I of Richard Wagner's opera Tristan und Isolde (premiered 1865), consisting of the notes F, B, D♯, and G♯ in measure 2.^[42] This sonority functions as a French augmented sixth chord in A minor, with the G♯ serving as an appoggiatura that resolves to A, though it is often interpreted equivalently as a half-diminished seventh chord on F (F–A♭–C♭–E♭, enharmonically respelled).^[43] The chord's structure embodies Wagner's innovative approach to extended harmony, blending augmented sixth conventions with chromatic alterations to heighten emotional intensity. In the opera, the Tristan chord generates profound harmonic ambiguity, initiating a progression that avoids traditional resolution and sustains unrelieved tension across the entire work.^[44] Instead of resolving directly to the dominant, it leads deceptively to a half-cadence, mirroring the narrative's theme of insatiable longing between the protagonists; full resolution occurs only in the final Liebestod, where the chord's dissonance merges into transcendent consonance.^[45] This prolonged deferral of closure exemplifies Wagner's dramatic use of harmony to evoke psychological and erotic suspense, transforming the augmented sixth into a symbol of existential yearning. The chord's introduction marked a watershed in late Romantic chromaticism, pushing tonal boundaries toward greater ambiguity and paving the way for modernist developments.^[46] Music theorist Ernst Kurth, in his seminal 1920 analysis Romantische Harmonik und ihre Krise in Wagners 'Tristan', interpreted the Tristan chord as a site of harmonic "energy" and instability, where chromatic alterations create dynamic "psychic motion" that fuses linear and vertical forces, reflecting the opera's philosophical depth.^[47] Kurth's student-teacher lineage traces to Guido Adler, whose stylistic analyses of Wagner influenced early understandings of such innovations, though Kurth's work provides the most direct examination of the chord's role in romantic harmony's crisis.^[48] Orchestrally, the Tristan chord integrates into the "desire" leitmotif, with its bass notes (F and B) doubled in cellos and bassoons for a somber foundation, while the inner voices (D♯ and G♯) emerge in muted violas and horns, overlaid by an English horn melody that traces the yearning theme.^[49] This sparse, schmachtend (languishing) scoring—beginning pp and building subtly—amplifies the chord's introspective dissonance, embedding it within Wagner's leitmotivic web to symbolize the opera's central conflict of love and death.^[50]

Historical Context and Usage

Origins in Classical Music

The augmented sixth chord first appeared in the Baroque era as a chromatic alteration, often employed to heighten emotional expression in sacred music. In Johann Sebastian Bach's works, such instances occur in cantatas and chorales from as early as 1714, where the chord functions as a dissonant voicing to underscore themes of suffering and spiritual distress, such as in the "Crucifixus" from BWV 12 and the recitatives of BWV 21.^[51] These early uses treated the chord not as a distinct entity but as an altered predominant harmony, reflecting broader Baroque practices of chromaticism for rhetorical effect.^[52] By the mid-18th century, the chord gained theoretical recognition during the Classical period's codification of harmonic practices. Theorists like Friedrich Wilhelm Marpurg and Johann Philipp Kirnberger described it as an altered tertian harmony, with Kirnberger emphasizing its contrapuntal resolution and bass-rooted structure in his Die Kunst des reinen Satzes in der Musik (1771–1779).^[5] Composers such as Joseph Haydn and Wolfgang Amadeus Mozart integrated it into sonatas for heightened dissonance and modulation, as seen in Mozart's Piano Sonata K. 457 and Haydn's String Quartet Op. 20 No. 5, where it adds expressive tension before dominant arrivals.^[52] In the 19th century, during the Romantic era, the augmented sixth chord expanded in prominence, serving as a tool for dramatic intensification. Ludwig van Beethoven employed it in symphonies like No. 3 ("Eroica") and No. 9 to propel harmonic motion and evoke pathos, while Franz Schubert featured it extensively in lieder such as those from Winterreise, where it underscores lyrical melancholy and textual irony.^[52] This period marked a shift toward viewing the chord as a versatile expressive device beyond strict functional roles. Theoretically, the chord evolved from Kirnberger's contrapuntal emphasis to Arnold Schoenberg's early 20th-century reinterpretation, where it appears as a derivative of a minor ninth on the supertonic with omitted root, bridging tonal and atonal contexts in his Theory of Harmony (1911).^[53] Schoenberg highlighted its potential to disrupt traditional tonality, paving the way for freer chromatic usages.^[5]

Modern Applications

In jazz, particularly during the bebop era of the 1940s, the augmented sixth chord functions primarily as an altered dominant or tritone substitute, enhancing chromatic tension before resolving to the dominant chord. This usage parallels classical pre-dominant roles but adapts to jazz's faster harmonic rhythms and improvisational demands, often appearing in standards like Duke Ellington's "In a Sentimental Mood," where it reinterprets a German sixth as a substitute for the V7/V. In Charlie Parker's compositions, such as those analyzed in 32-bar AABA forms, the Ab7 chord serves enharmonically as an augmented sixth, building urgency toward resolution in minor-key contexts. Secondary augmented sixths extend this application, tonicizing targets beyond the primary dominant, such as V/vi or V/iii, to facilitate smoother voice leading in complex progressions.^[5]^[54]^[55] In film and contemporary classical scores, the augmented sixth chord generates dramatic tension through its inherent dissonance. John Williams employs it in the B section of Hedwig's Theme from Harry Potter and the Sorcerer's Stone (2001), where German sixth harmonies over a tonic pedal create harmonic ambiguity and an eerie, suspended quality, evoking magical unease amid the celeste orchestration. In minimalist works by Steve Reich, such dissonant intervals integrate into ostinati, as seen in harmonic explorations of The Desert Music (1984), where augmented sonorities contribute to gradual processes and chromatic layering without traditional resolution.^[56]^[57] In atonal and post-tonal compositions, Schoenberg and Webern repurposed the augmented sixth as a non-functional cluster, prioritizing its timbral density over harmonic progression. Schoenberg, in his transition to twelve-tone technique, treated it as an "incipient atonal sonority" within expanded chordal vocabularies, as in altered ii chords that dissolve tonal centers in works like Pierrot Lunaire (1912). Webern similarly used such configurations in sparse textures, like the major/augmented tetrachords in Six Pieces for Orchestra (1909/1928), emphasizing interval classes for structural symmetry rather than voice-leading resolution.^[58]^[59] Post-2000 digital music theory analyses highlight the augmented sixth's role in EDM modulations, where it facilitates chromatic pivots in build-ups and drops. Resources like online theory platforms examine its use in electronic tracks for seamless key shifts, akin to tritone substitutions, enhancing energy in genres like progressive house without resolving classically. For instance, analyses of post-2010 EDM progressions note its appearance in minor-key transitions, drawing from jazz influences to add sophistication to looped structures.^[60]^[3]

References

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Augmented Sixth Chords – Open Music Theory - VIVA's Pressbooks
Augmented sixth chords are a category of chromatic predominant harmonies whose name is derived from the inclusion of a very specific interval.
[2]
Types of Augmented Sixth Chords
There are three general types of augmented sixth chords—the Italian augmented sixth chord (“ It It + 6 ”), the French augmented sixth chord (“ Fr Fr + 6 ”), and ...
[3]
Augmented 6th Chords - Italian, French, German
Augmented 6th chords are chromatic chords that are built upon the interval of a major 3rd and an augmented 6th. They are very useful in modulation to different ...Missing: definition | Show results with:definition
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Augmented 6th Chords - My Music Theory
Augmented 6th chords have as their root note the raised 4th above the tonic, e.g. F# in the key of C major or C minor.Missing: definition | Show results with:definition
[5]
MTO 14.2: Biamonte, Augmented-Sixth Chords vs. Tritone Substitutes
[3] As is well known, the fundamental principle of augmented-sixth chords is that the defining interval resolves outward in contrary motion to an octave. In the ...<|control11|><|separator|>
[6]
Specific Intervals - musictheory.net
Major intervals can be augmented by adding a semitone. For example, since C to A is a major sixth (9 half steps), C to A# is an augmented sixth (10 half steps).
[7]
Augmented sixth - Microtonal Encyclopedia
Sep 9, 2018 · In the tuning system known as equal temperament the augmented sixth is equal to ten semitones and is a dissonant interval. The augmented sixth ...
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Dreading the Augmented Sixth - The Boston Musical Intelligencer
Jan 16, 2024 · The augmented sixth interval is a dissonant interval that needs to be resolved, normally by expanding to an octave, with the raised factor continuing upward, ...Missing: theory history Rameau Kirnberger
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Supplement to the Theory of Augmented-Sixth Chords
Sep 21, 1995 · 1979. One of the most important figures in the development of harmonic theory during the eighteenth century was Johann Philipp Kirnberger (1721- ...
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The Harmonic Theories of Jean-Adam Serre – Intégral
For Rameau's added sixth chord F–A–C–D (Serre calls it “l'accord de grande sixte,” or chord of the major sixth), Serre assigns the two fundamentals F (for F, A, ...Missing: definition | Show results with:definition
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32. Augmented Sixth Sonorities – Fundamentals, Function, and Form
The interval formed by b 6 ^ and # 4 ^ is the defining trait of these sonorities, but they usually occur with one of three combinations of other notes.
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21.5 Examples with Augmented Sixth Chords
The first examples, from the first movement of Beethoven's Fifth Symphony, shows an Italian augmented sixth chord ( It It + 6 ) in C minor with the “classical” ...Missing: Cherubini | Show results with:Cherubini
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Music Theory in the Nineteenth Century
While individual instructors such as Charles-Simon Catel, Luigi Cherubini, François-Joseph Fétis, and Paul Antonin Vidal continued to teach partimento or ...
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CHAPTER 4 MUSIC PEDAGOGY, MUSICOLOGY,AND BRAHMS'S ...
... augmented sixth chord resolves directly to an unadorned dominant. 8 ... Bizet, Carmen, Act 1, No. 8, mm. 11–15. EXAMPLE 4.5b. Bizet, Carmen, Act 1, No. 8 ...
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[PDF] Moritz Hauptmann: Ein Haupt Mann in Nineteenth Century Music ...
... Hauptmann calls the "so-called 'augmented sixth chords l. " D-f-sharpla- flat and f-sharpla-flat-C. These triads are useful for em- phasizing the dominant ...
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Symphony #4 in E Minor - Opus 98 Listening Guide
... German sixth” chord, which leads to the “dominant” chord of E minor, then strongly resolves there. The sequence is repeated a second time. This confirmation ...
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[PDF] Formal Functions in Robert Schumann's Orchestral Sonata Forms
thought of as an inverted German Sixth) enters at the end of m. 54 to herald ... Schumann's symphony features a transition of significant size. Second ...
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Enharmonicism and the Omnibus Progression in Classical-Era Music
encountered, it is clearly a dominant seventh in Ab major. But its resolution and ... The F#7, which is chord 5 of the first omnibus, becomes upon its ...
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[PDF] Variation as Thematic Actualisation: the Case of Brahms's Op. 9
Schubert, like Brahms, enharmonically respells and redirects this harmony such that it mutates into a German sixth chord which resolves to V within the home key ...
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Music Dictionary Su - Sz - Dolmetsch Online
Aug 23, 2017 · Swiss sixth, a German augmented sixth chord spelled with a raised second scale degree instead of a lowered third scale degree (i.e., D sharp ...
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[PDF] the harmonic implications of the non-harmonic tones - CORE
May 4, 2013 · ... augmented sixth chord (++4, Turek, 2007) or a Swiss sixth (Piston & DeVoto, 1987). The German and Italian augmented sixth chords both sound ...
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Harmony: Its Theory and Practice - Ebenezer Prout - Google Books
Nov 8, 2011 · CHAPTER XIXTHE CHORD OF THE AUGMENTED SIXTH page. 269. HARMONY IN FEWER AND MORE THAN FOUR. 300. APPENDIX ATHE ECCLESIASTICAL MODES. 311.
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(PDF) A Speculation in Theory and Practice III: Ebenezer Prout ...
Augmented-sixth chords are a special case. Prout has to derive them from two generators, the flat sixth degree being the minor ninth above the dominant ...
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[PDF] an analysis of stravinsky's symphony of psalms focusing on tonality ...
augmented sixth chord that heads to dominant, G. At measures 25- 29, the three notes. (Ab, F#, G) are used repeatedly in turn as an ostinato in the bass ...
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Harmonic Behavior in The Rite of Spring - College Music Symposium
Oct 1, 1992 · Stravinsky's fusion of the g minor V7 and the German augmented sixth at the beginning of the Danse sacrale represents a more complex ...
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Augmented Sixth Chords
Augmented sixth chords are a special class of pre-dominant chords with notes that approach the dominant ( 5 ^ ) from a half-step below (♯ 4 ^ ) and from a half ...
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Augmented Sixth Chords – Music Composition & Theory
... French 6th (Fr6) ... It is the two pitches that, in effect, surround the dominant that give the augmented sixth its name (Ab to F# in the example below).<|control11|><|separator|>
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[PDF] How to Build a Development Section: A Schenkerian Perspective
Jan 15, 2012 · augmented-sixth chord, which pushes the bass and Urlinie toward octave Bns. The sonority and function of the augmented-sixth chord is ...
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[PDF] The Function of the Apparent Tonic at the Beginning of Development ...
Bach, Haydn, Mozart, Cherubini, Beethoven, Clementi, Schubert, Schumann, ... An augmented sixth is added, returning. Page 45 ... Cherubini. Overture to ...
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[PDF] hniqu Melodi s f rolon ation - UCI Music Department
The augmented sixth chord that contains these tones is as- sociated with ... Example 6.18a is a passage from a string quartet by Haydn. In the cadence.
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[PDF] The Augmented Sixth Chord - UCI Music Department
The augmented sixth chord is typically preceded by a tonic chord, a subdominant chord, (~)VI, or (~)III; it is almost always followed by V or the cadential ~ ...
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The Augmented Sixth Chord - Kaitlin Bove Music
Augmented sixth chords also help as an intermediate step between ♭VI and V in both minor and borrowed major keys. Moving from ♭VI - Ger⁺⁶ - V avoids ...
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[PDF] ENHARMONIC SPELLING
Modulation through enharmonic reinterpretation. As we saw above, a German augmented-sixth chord might be misspelled as a dominant seventh chord. However ...
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[PDF] Bergsonian Concepts of Time in Maurice Ravelâ - EliScholar
Debussy's employment of the French augmented-sixth chord will become important to L'Heure espagnole as well. In both Tristan and Pelléas, harmony and pitch ...
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Augmented 6th chords – German 6th – MusicTheoryManual.com
To avoid the parallel 5ths, resolve the German 6 to either a cadential 64 or another augmented 6 chord before going to the V chord. By doing this, the ...
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Voice Leading Augmented Sixth Chords
If you voice lead an augmented sixth chord to something other than V , V , or i i 4 6 , move all of the voices smoothly while avoiding objectionable parallels ...Missing: construction | Show results with:construction
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[PDF] MTO 14.2: Biamonte, - Music Theory Online
[1] Augmented-sixth chords and tritone substitutes have long been recognized as enharmonic equivalents. Although this relationship has been briefly noted in ...
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Chromatic Modulation – Open Music Theory - VIVA's Pressbooks
Example 12 shows precisely this. Here, Haydn spends three measures on the German augmented-sixth chord in the key of D major (B♭-D-F-G♯), allowing the audience ...
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Chromatic Harmony 2 and 20th Century Music - OERTX
Two of these chords, the German augmented sixth (Ger+6) and the Italian augmented sixth (It+6) are enharmonically spelled Mm7 chords, while the French augmented ...<|control11|><|separator|>
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Harmonic Functions : Augmented Sixths - Teoria
An augmented sixth chord is an altered chord with a subdominant function. The name derives from the fact than an augmented sixth interval is formed between ...Missing: Riemann theory
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MTO 24.3: Wadsworth, Review of Damschroder - Music Theory Online
Similar resistance may emerge in response to Damschroder's discussions of inverted, evolved-ninth, and augmented sixth chords. Although Schenker notates applied ...
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Functional Interpretation of the Tristan Chord - SMT Discuss
Mar 25, 2018 · ... Tristan chord F B D# G# (the mirror chord of a German sixth chord). Another interpretation that works both when seeing the G# as a chord ...
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Richard Wagner - The Tristan Chord - Composer Notes
In this example from Die Walküre, the half-diminished chord is on the supertonic G sharp in the key of F sharp minor. The supertonic seventh is followed by ...
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How One Chord Changed the World: “Tristan” at 150 | WFMT
Jun 10, 2015 · The Tristan chord was unique because it delayed harmonic resolution for literally hours, creating the ultimate musical and dramatic “delayed gratification.”
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Debussy and the “Tristan Chord” - The Listeners' Club
Jun 10, 2020 · After wrestling with the shifting chromaticism and harmonic ambiguity which pervades Wagner's opera, Debussy arrived in the hazy, sensuous ...
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Details of Romantic harmony (Chapter 4) - Ernst Kurth
This chapter contains excerpts from Romantische Harmonik und ihre Krise in Wagners “Tristan”, 3rd edn., part 3 (“From the cadence to the alteration style of ...
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Ernst Kurth and the Analysis of the Chromatic - jstor
Yet the Tristan chord is not tonality-defining; its very use- fulness depends in fact on its adaptability to a wide range of har- monic contexts. Does Kurth ...<|separator|>
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Ernst Kurth, Music as Psychic Motion and 'Tristan und Isolde' - jstor
teacher Guido Adler, Kurth took for granted a traditional and Romantic ... in which the constituent notes of chords fuse together with a harmonic identity of.
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Tristan and Isolde, Prelude to Act 1: mm.1-3 - LAITS
The prelude's opening represents "yearning, longing, rapture, and misery of love," with the "Tristan Chord" and "Tristan motive" reflecting this, and the lack ...
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Tristan and Isolde - Orchestra Sounds
Sep 23, 2014 · After the opening cello line, the woodwinds enter on the Tristan chord. On the downbeat, Wagner doubles the chord among the double reeds and ...
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[PDF] js bach's bwv 232: augmented sixth chords in the symbolum
Thesis Statement. Johann Sebastian Bach introduced augmented sixth chords at key structural and theological points in the Credo section of the Mass in B Minor ...
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The Evolution of the Augmented Sixth from Monteverdi to Mahler
Apr 28, 2010 · A Chord in Time: The Evolution of the Augmented Sixth from Monteverdi to Mahler.Missing: origins | Show results with:origins
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Schoenberg on Tonal Function
The augmented sixth chord has its derivation from a minor ninth chord on II with root omitted. In example 6b, the diminished seventh chord has its fifth altered ...
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Other 32-Bar AABA Compositions | Charlie Parker, Composer
The A ♭7 is also the augmented sixth chord of classical harmony (Ex. 3.2c) ... As Koch notes, “Against a dominant chord Parker often used the higher chord ...
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Secondary Augmented 6th chords – MusicTheoryManual.com
A secondary augmented 6th chord is an augmented 6th chord that appears on a note other than the note a half-step above dominant or tonic.<|control11|><|separator|>
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John Williams Themes, Part 6 of 6: Hedwig's Theme from Harry Potter
Apr 13, 2013 · For example, the harmonies at the start of bars 20 and 22 are from a family of chords known as “augmented sixths”, which tend to have an ...
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[PDF] Harmonic Sources in Steve Reich's 'The Desert Music' (1984) Ap ...
May 1, 2024 · The kinds of extended chords found in these examples – augmented and chromatic colorations, dominant substitutions, major and minor sevenths, ...
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Comprehending Twelve-Tone Music as an Extension of the Primary ...
Oct 1, 1984 · Schoenberg's explanation of the augmented sixth chord as a dominant substitute is the same as that cited above. This explanation is apparently ...
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Anton Webern's Six Pieces for Orchestra: A Comparison of the Two ...
There are two published versions of Anton Webern's Six Pieces for Orchestra, though the composer considered the 1928 revision to be the only valid one. The.
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The Augmented Sixth Chord in Pop Music - Aaron Krerowicz
Jun 22, 2019 · Darling', arguing that the F7 (bVI in A major) at the end of the bridge functions as an enharmonic German augmented sixth, resolving as any ...