Locrian mode
The Locrian mode is the seventh and final mode of the major scale in Western music theory, derived by starting on the seventh scale degree and following a specific pattern of intervals: half step, whole step, whole step, half step, whole step, whole step, whole step.[1] This results in a scale with a flattened second, third, fifth, sixth, and seventh degrees relative to the major scale (e.g., in B Locrian derived from C major: B, C, D, E, F, G, A, B), producing a diminished fifth interval between the tonic and fifth, which creates an inherently unstable and dissonant sound.[2] Often described as the darkest of all diatonic modes due to its minor third and tritone (diminished fifth), it is the only mode built on a diminished triad, making resolution to the tonic chord challenging and rare in traditional tonal music.[3] The name of the Locrian mode derives from ancient Greek music theory around 375 B.C.E., as documented by theorists like Aristoxenus, though the modern scale structure developed later in medieval theory.[4] In medieval and Renaissance church music, it was classified as one of the seven diatonic modes (alongside Ionian, Dorian, Phrygian, Lydian, Mixolydian, and Aeolian), but it was largely hypothetical and infrequently used in Gregorian chant or polyphony because of its dissonant qualities and lack of a stable perfect fifth, which conflicted with the era's emphasis on consonance.[5] By the Baroque period, the dominance of major and minor tonality marginalized all modes, including Locrian, reducing its presence in classical composition. In modern usage, the Locrian mode appears sporadically in jazz improvisation for creating tension, as in John Coltrane's "Naima" where an E♭ Locrian passage over an A♭/E♭ chord evokes a profoundly dark atmosphere, and in contemporary genres like heavy metal or film scores to heighten unease, though it remains the least employed mode due to its instability.[3] Composers such as Claude Debussy occasionally incorporated it for exotic or unresolved effects, as in the Locrian mode on F in "La serenade interrompue" from his Préludes (Book I, 1910), marking a rare early 20th-century application.[5] Its characteristic notes—the flattened second and fifth—demand careful melodic and harmonic treatment to avoid excessive dissonance, often leading musicians to favor half-whole diminished scales as alternatives in practice.[2]Theoretical Foundations
Construction and Characteristics
The Locrian mode is defined as the seventh mode of the major scale, constructed by beginning on the seventh scale degree of the parent scale. For instance, in C major, the B Locrian mode uses the notes B, C, D, E, F, G, and A, sharing all pitches with the Ionian mode but reoriented around B as the tonic.[1][6] Its intervallic pattern follows a sequence of half-whole-whole-half-whole-whole-whole steps (H-W-W-H-W-W-W), which produces the scale degrees 1, ♭2, ♭3, 4, ♭5, ♭6, and ♭7 relative to the tonic. This structure emphasizes dissonant intervals, particularly the minor second between the root and ♭2, and the tritone between the root and ♭5. The diminished fifth creates inherent tension and instability, positioning the Locrian mode as the least consonant among the diatonic modes due to its avoidance of stable perfect intervals in the tonic triad.[1][6][7] The associated harmony centers on the half-diminished seventh chord built on the tonic, such as Bm7♭5 (B-D-F-A) in B Locrian, which incorporates the root, minor third, diminished fifth, and minor seventh. This chord's dissonant tritone between the root and fifth, along with the minor seventh's tension, drives voice leading toward resolution, often with the ♭2 ascending by half step to the target root and the ♭5 rising to the third of a dominant chord. In practice, the Locrian mode's harmonic framework tends to resolve to more stable sonorities, such as the dominant seventh of the parent major scale, underscoring its role in building suspense rather than establishing prolonged tonality.[7][8] Notational examples illustrate its transposition across keys; for E Locrian (derived from F major), the scale is E-F-G-A-B♭-C-D, with the tonic chord Em7♭5 (E-G-B♭-D). Similarly, in G Locrian (from A major), it comprises G-A-B♭-C-D♭-E-F, yielding Gm7♭5 (G-B♭-D♭-F). These configurations maintain the mode's characteristic dissonance regardless of key, facilitating its use in melodic and harmonic contexts requiring instability.[6][1]Relation to Other Modes
The Locrian mode occupies the position of the seventh diatonic mode within the system of seven modes derived from the major scale, obtained by rotating the Ionian (major) scale so that its starting note is the seventh degree of the parent scale.[9] This rotation preserves the diatonic pitch collection while altering the tonal center, positioning Locrian as the counterpart to Ionian in the modal sequence.[10] A variant of the Locrian mode, known as Locrian ♮6 (or sometimes associated with Aeolian ♮6 characteristics), derives as the seventh mode of the melodic minor scale, featuring a natural sixth degree that distinguishes it from the standard diatonic Locrian.[11][12] The Locrian mode contrasts sharply with other diatonic modes due to its interval structure, particularly the diminished fifth (tritone) between the tonic and fifth degrees, which creates inherent instability unlike the consonant perfect fifth found in modes such as Dorian and Mixolydian.[13] This defining tritone undermines the mode's tonal stability, setting it apart from the more resolved sonorities in other modes. The following table summarizes the interval patterns (W = whole step, H = half step) for all seven diatonic modes, starting from the Ionian:| Mode | Interval Pattern |
|---|---|
| Ionian | W W H W W W H |
| Dorian | W H W W W H W |
| Phrygian | H W W W H W W |
| Lydian | W W W H W H W |
| Mixolydian | W W H W W H W |
| Aeolian | W H W W H W W |
| Locrian | H W W H W W W |
Historical Context
Ancient and Medieval Origins
The name of the Locrian mode derives from the ancient Greek region of Locri in southern Italy, where an eponymous harmonia (a type of scale or tuning system) is said to have originated in the 7th or 6th century BCE, attributed to the poet Xenocritus, who reportedly employed it in heroic narrative songs.[19] The 4th-century BCE philosopher Heraclides Ponticus referenced the mode as being in use during the era of poets Simonides and Pindar (late 6th to early 5th century BCE), noting its association with expressive, lofty character, though it subsequently fell out of common practice.[20] By the 2nd century CE, Claudius Ptolemy discussed the equivalent scale in his Harmonics under the name Hypodorian, positioning it as the lowest of seven practical tonoi (keys) in the Greek system, derived from the octave species starting on the proslambanomenos note; however, its practical application remained debated due to the mode's inherent instability from a diminished fifth interval.[19] This theoretical recognition as a hypermode or variant of the Hypodorian highlights its etymological ties to Locrian regional traditions, even as evidence of widespread ancient usage is sparse. Note that ancient Greek harmoniai differed in structure from the modern diatonic modes, and the specific Locrian scale with its characteristic intervals was not identical. In medieval music theory, the scale corresponding to the modern Locrian mode appeared in theoretical discussions synthesizing Greek sources like Ptolemy and Aristoxenus, such as in Boethius' De institutione musica (c. 500 CE), a foundational text; yet, its dissonant profile—characterized by a leading half-whole interval pattern—led to frequent omission in practical treatises. Boethius described the modes' ethical and structural roles, but the placement of the equivalent seventh species (B to B in the diatonic genus) underscored its theoretical rather than liturgical viability, as the tritone between the finalis and dominant undermined melodic resolution.[21] The Carolingian reforms of the 9th century further marginalized such unstable structures, with theorist Hucbald of Saint-Amand standardizing the church modes in his De harmonica institutione to prioritize four authentic modes (Dorian, Phrygian, Lydian, Mixolydian) and their plagal counterparts for their stable perfect fifths from the finalis. Hucbald emphasized intervallic consonance for chant, avoiding finals on B natural (with F as fifth) due to the dissonant tritone, which lacked the tonal stability essential for sacred music endings.[22] Theoretical debates persisted on the inclusion versus avoidance of scales with such instability—the absence of a consonant perfect fifth above the finalis, rendering cadences unresolved and unsuitable for modal closure in liturgical contexts. The mode's half-whole opening pattern, while theoretically cataloged, thus confined it largely to speculative discourse rather than performance, with no confirmed pure examples surviving from the period.[23]Renaissance to Baroque Evolution
During the Renaissance, the modern Locrian mode, as the seventh diatonic mode on B (B-C-D-E-F-G-A), gained limited theoretical acknowledgment in Heinrich Glarean's Dodecachordon (1547), which expanded the medieval system of eight church modes to twelve by incorporating the Ionian, Hypoionian, Aeolian, and Hypoaeolian modes, with the Hypophrygian mode on B corresponding to the Locrian scale. Glarean described this mode as rare in practice, viewing it as largely theoretical due to its inherent tritone between the final and fifth degree, which created harmonic instability unsuitable for stable cadences; he was the first to apply the name "Locrian" to this specific scale, drawing on ancient Greek nomenclature.[24][25][26][27] In practical Renaissance polyphony, the Locrian mode remained scarce, with no prominent examples in the works of composers such as Giovanni Pierluigi da Palestrina or Orlando di Lasso, who favored more consonant modes for sacred and secular compositions. Composers often employed modal mixture, borrowing elements from the Phrygian or Aeolian modes to achieve similar dissonant or somber effects without fully committing to the Locrian's unstable structure. This avoidance stemmed from the mode's diminished fifth, which disrupted the perfect intervals central to polyphonic resolution.[28][29] As the Baroque period emerged, the shift toward functional tonality further marginalized the Locrian mode, as articulated in Jean-Philippe Rameau's Traité de l'harmonie réduite à ses principes naturels (1722), which prioritized harmonic progressions based on root-position triads and the dominant-tonic relationship supported by perfect fifths. Rameau critiqued modal systems for their lack of natural acoustic foundation, highlighting the Locrian's instability—particularly its diminished fifth and seventh—as incompatible with the emerging major-minor key system, contributing to the mode's decline in favor of tonal hierarchies.[30][31] Isolated instances of Locrian-like elements appeared in early Baroque keyboard music, such as Girolamo Frescobaldi's toccatas from the early 17th century, where potential Locrian cadences featuring diminished fifths occur as passing dissonances amid freer harmonic explorations. These moments, often resolved quickly into more stable sonorities, reflect the mode's experimental use rather than structural role.[29][32] Culturally, the Locrian mode's dissonant quality associated it with expressions of lament or exoticism in early opera, evoking emotional intensity or otherworldliness in recitatives and arias, though it was never employed as a primary structural mode due to its perceived instability.Musical Applications
In Classical Composition
The Locrian mode began to appear more deliberately in Romantic-era compositions as a means to evoke tension through its characteristic half-diminished sonorities. This application aligns with the mode's diminished fifth and leading tone, which avoid tonal resolution and heighten emotional depth, contrasting the era's predominant major-minor framework. In the early 20th century, Impressionist composers adopted modal scales to enhance atmospheric dissonance and coloristic effects. Claude Debussy employed modal scales in "La cathédrale engloutie" from Préludes, Book I (1910), where submerged, echoing harmonies in the low register evoke the myth of a rising cathedral through unstable diminished intervals and whole-tone mixtures that blur traditional tonality.[5] Similarly, Igor Stravinsky integrated fragments of the "locrian ♮2" mode—a variant of Locrian with a raised second degree—in The Rite of Spring (1913), notably in the alto flute melody at rehearsal 6 (on B from D melodic minor) and the concluding measures of "Augurs of Spring" at rehearsal 32, where these dissonant modal layers contribute to the work's primal tension and rhythmic drive.[33] Serial and atonal composers of the modernist period incorporated half-diminished configurations into dodecaphonic structures for heightened expressivity. Arnold Schoenberg's Pierrot lunaire, Op. 21 (1912), weaves atonal textures that exploit half-diminished sonorities to underscore the surreal texts. Béla Bartók further utilized dissonant modal elements from folk traditions in his chamber works, such as String Quartet No. 4 (1928), where passages in the second and fourth movements create arch-like formal symmetry and textural contrast.[34] Theoretically, the Locrian mode's role in Impressionism and modernism stems from its inherent dissonance—the diminished tonic triad and tritone-dominant—offering composers a tool for subverting tonal norms and evoking ambiguity or unease, as evident in Debussy and Ravel's scalar explorations and Stravinsky's hybrid modes that prioritize color over resolution.[35] This instability facilitated innovative harmonic palettes, influencing the shift toward expanded tonalities in Western art music.In Folk and Traditional Genres
The Locrian mode appears infrequently in folk and traditional genres, where its inherent instability—characterized by the diminished fifth interval—lends itself to expressions of lament or tension in oral traditions.[5] In non-Western traditions, the Locrian mode finds parallels in scales featuring diminished intervals, such as the Japanese hirajōshi pentatonic scale (e.g., A-B-C-E-F), which incorporates a tritone between the fourth and seventh degrees, echoing the Locrian's dissonant quality when viewed modally.[36] This scale appears in traditional Japanese music, including elements of gagaku court music, where modal structures with flattened fifths contribute to evocative, ethereal atmospheres in ensemble performances.[37] Similarly, certain Indian ragas, like Lalit, exhibit similarities through the absence of a perfect fifth, creating a flattened fifth akin to the Locrian structure and used in evocative, morning ragas for their somber tone.[38] Within European folk traditions, the Locrian mode remains rare, particularly in Celtic repertoires, which predominantly favor Dorian, Mixolydian, and Aeolian modes for their melodic stability in tunes and ballads.[39] Scandinavian folk music similarly avoids the Locrian, relying instead on modal variants like the natural major and minor for dance and narrative songs.[40] However, traces emerge in Bulgarian folk music, where asymmetric rhythms in 7/8 patterns occasionally emphasize the tritone, implying Locrian-like tensions in wedding and ritual dances from the Rhodope region.[41] In American folk genres, the Locrian mode is implied sporadically through half-diminished chords in bluegrass and old-time fiddle tunes, evoking an unstable, rustic unease in Appalachian performances.[42] African and Middle Eastern influences introduce tritone-based maqams like Hijaz (with its augmented second forming a tritone to the tonic) and Kurd, which, when adapted in fusion folk contexts, parallel the Locrian's dissonance; notably, maqam Lami directly corresponds to the Locrian scale in Iraqi and broader Arab traditions.[43] Transcribing the Locrian mode poses challenges in oral folk traditions lacking fixed notation, as performers approximate its intervals through ear and context rather than precise scales; Béla Bartók's field recordings of Hungarian and Romanian folk music, collected in the early 20th century, document such approximations in lamenting melodies, where diminished fifths appear amid pentatonic and modal variants.[5] These recordings highlight how the mode's elusive presence emerges in unnotated performances, requiring ethnomusicological analysis to identify.[44]In Popular and Jazz Contexts
In jazz theory, the Locrian mode serves as the primary scale for improvising over half-diminished chords (m7♭5), such as the iiø7 in a minor ii-V-I progression, providing a dissonant, tense sound that resolves effectively to the dominant V7 chord.[45] This chord-scale relationship emphasizes the mode's characteristic flattened second (♭2), flattened fifth (♭5), and flattened sixth (♭6), aligning with the chord tones of 1, ♭3, ♭5, and ♭7. For instance, in the standard "Stella by Starlight," the E Locrian mode (E-F-G-A-B♭-C-D) is applied over the Em7♭5 chord to create unstable, chromatic lines that heighten the harmonic pull toward the subsequent A7.[46] In rock and metal, the Locrian mode contributes to tension-building through its unstable ♭5 (tritone), often in riffs featuring diminished intervals and polyrhythms. Metallica frequently employs the mode's dark, ominous quality in their thrash metal compositions, as seen in "Sad But True" (1991), where the riff structure incorporates Locrian elements for a heavy, dissonant edge.[47] Similarly, Meshuggah's music is framed by the Locrian mode, using it alongside chromatic motion to generate complex, low-tuned riffs in tracks like those on Destroy Erase Improve (1995), enhancing the genre's polyrhythmic intensity and sense of unease.[48] In pop ballads and film scores, the Locrian mode appears subtly to evoke drama and menace, often via its tritone (♭5) for emotional descent or foreboding. While direct full-mode usage is rare, John Williams implies Locrian-like tension in "The Imperial March" (1980) through diminished fifths in the brass motif, amplifying the theme's imperial threat without resolving the inherent instability.[49] For jazz improvisation, techniques with the Locrian mode focus on scalar runs that highlight its dissonant intervals while avoiding the perfect fifth—replaced by the ♭5—to maintain tension; players often ascend or descend the full scale (e.g., B Locrian: B-C-D-E-F-G-A) over a Bm7♭5 chord, incorporating intervallic leaps like thirds (B-D, C-E) or fourths for melodic variety.[46] These runs pair directly with the chord-scale system, targeting chord tones (root, ♭3, ♭5, ♭7) and tensions (♭9, ♭13) to build toward resolution in progressions like iiø7-V7-i.[50] In recent years, the Locrian mode has seen increased use in video game soundtracks for tension, such as in horror-themed scores like those for Dead Space Remake (2023), where half-diminished progressions evoke unease.[51]Modern Interpretations
Variations and Extensions
In contemporary music theory, variations of the Locrian mode extend its dissonant character by altering specific scale degrees to fit harmonic contexts like jazz improvisation, where the traditional Locrian's ♭2 creates excessive tension over half-diminished chords.[52] One prominent variant is the Locrian ♮2 (also known as Locrian #2 or half-diminished scale), which raises the second degree from ♭2 to a natural 2, yielding the pattern 1 2 ♭3 4 ♭5 ♭6 ♭7.[53] This adjustment reduces the dissonance associated with the ♭2 while preserving the ♭5's instability, making it suitable for outlining m7♭5 chords.[54] As the sixth mode of the melodic minor scale, it derives from rotating the parent scale (1 2 ♭3 4 5 6 7) to start on its sixth degree.[55] Another key extension is the Super Locrian mode, or altered dominant scale, which further lowers the fourth degree to ♭4, resulting in the highly tense pattern 1 ♭2 ♭3 ♭4 ♭5 ♭6 ♭7.[56] This variant, sometimes called Locrian ♭4 due to the flattened fourth relative to the traditional Locrian, emphasizes chromatic alterations like ♭9, #9, ♭5, and #5, ideal for resolving dominant seventh chords in jazz.[57] It functions as the seventh mode of the melodic minor scale, obtained by starting on its seventh degree.[58] Additional variants include the Aeolian ♭5, which is synonymous with Locrian ♮2 and shares its interval structure and applications, often described as a natural minor scale with a flattened fifth for added ambiguity in half-diminished contexts.[59] Locrian ♭4 aligns directly with the Super Locrian, serving as an alternative nomenclature that highlights its departure from the diatonic fourth.[56] These forms can incorporate added tensions, such as ♭9 or #5, to enhance expressive dissonance over half-diminished voicings without altering the core ♭5.[52] In 20th-century theory, such Locrian variants emerged from explorations of non-diatonic systems, including rotations of the melodic minor and synthetic constructions like Olivier Messiaen's modes of limited transposition, which emphasize symmetry (e.g., whole-tone or octatonic patterns) to generate unstable, coloristic sonorities akin to extended Locrian forms.[60]| Variant | Interval Pattern | Parent Scale (Mode) | Common Use |
|---|---|---|---|
| Locrian ♮2 | 1 2 ♭3 4 ♭5 ♭6 ♭7 | Melodic minor (6th) | m7♭5 chords, reduced ♭2 tension |
| Super Locrian | 1 ♭2 ♭3 ♭4 ♭5 ♭6 ♭7 | Melodic minor (7th) | Altered dominant 7th chords |
| Aeolian ♭5 | 1 2 ♭3 4 ♭5 ♭6 ♭7 | Melodic minor (6th) | Half-diminished with tensions |
| Locrian ♭4 | 1 ♭2 ♭3 ♭4 ♭5 ♭6 ♭7 | Melodic minor (7th) | Synonym for Super Locrian |