locrian mode

{{Short description|Musical mode}}

The Locrian mode is the seventh mode of the major scale. It is either a musical mode or simply a diatonic scale. On the piano, it is the scale that starts with B and only uses the white keys from there on up to the next higher B. Its ascending form consists of the key note, then: Half step, whole step, whole step, half step, whole step, whole step, whole step.

: {

\key c \locrian

\override Score.TimeSignature #'stencil = ##f

\relative c' {

\clef treble \time 7/4

c4^\markup { C Locrian mode } des es f ges aes bes c2

} }

History

Locrian is the word used to describe an ancient Greek tribe that inhabited the three regions of Locris.{{OED|Locrian}} Although the term occurs in several classical authors on music theory, including Cleonides (as an octave species) and Athenaeus (as an obsolete harmonia), there is no warrant for the modern use of Locrian as equivalent to Glarean's hyperaeolian mode, in either classical, Renaissance, or later phases of modal theory through the 18th century, or modern scholarship on ancient Greek musical theory and practice.{{cite dictionary |first=Harold S. |last=Powers |title=Locrian |year=2001a |dictionary=The New Grove Dictionary of Music and Musicians |edition=2nd |editor1-first=Stanley |editor1-last=Sadie |editor1-link=Stanley Sadie |editor2-first=John |editor2-last=Tyrrell |editor2-link=John Tyrrell (professor of music) |place=London, UK |publisher=Macmillan Publishers |page=158 }}{{cite book |first=David |last=Hiley |author-link=David Hiley |year=2002 |section=Mode |title=The Oxford Companion to Music |editor-first=Alison |editor-last=Latham |place=Oxford, UK / New York, NY |publisher=Oxford University Press |isbn=978-0-19-866212-9 |oclc=59376677 }}

The name first came into use in modal chant theory after the 18th century, when Locrian was used to describe the newly-numbered mode 11, with its final on B, ambitus from that note to the octave above, and semitones therefore between the first and second, and between the fourth and fifth degrees. Its reciting tone (or tenor) is G, its mediant D, and it has two participants: E and F.{{cite dictionary |first=William Smyth |last=Rockstro |year=1880 |title=Locrian mode |dictionary=A Dictionary of Music and Musicians (A.D. 1450–1880), by eminent writers, English and foreign |volume=2 |editor-first=George, D.C.L. |editor-last=Grove |editor-link=George Grove |place=London, UK |publisher=Macmillan and Co. |page=158 }} The final, as its name implies, is the tone on which the chant eventually settles, and corresponds to the tonic in tonal music. The reciting tone is the tone around which the melody principally centers,{{cite book |first=Charlotte |last=Smith |year=1989 |title=A Manual of Sixteenth-Century Contrapuntal Style |place=Newark, NJ / London, UK |publisher=University of Delaware Press / Associated University Presses |isbn=978-0-87413-327-1 |page=[https://books.google.com/books?id=usc74SGmrf8C&q=a+manual+of+sixteenth&pg=PA14 14] |url=https://books.google.com/books?id=usc74SGmrf8C }} the term mediant is named from its position between the final tone and the reciting tone, and the participant is an auxiliary note, generally adjacent to the mediant in authentic modes and, in the plagal forms, coincident with the reciting tone of the corresponding authentic mode.{{cite dictionary |first=Harold S. |last=Powers |title=Modes, the ecclesiastical |year=2001b |dictionary=The New Grove Dictionary of Music and Musicians |edition=2nd |editor1-first=Stanley |editor1-last=Sadie |editor1-link=Stanley Sadie |editor2-first=John |editor2-last=Tyrrell |editor2-link=John Tyrrell (professor of music) |place=London, UK |publisher=Macmillan Publishers |pages=340–343, {{nobr|esp. p. 342}} }}

Modern Locrian

In modern practice, the Locrian may be considered to be one of the modern minor scales: The natural minor with the step before second and the fifth scale degrees reduced from a tone to a semitone. The Locrian mode may also be considered to be a scale beginning on the seventh scale degree of any Ionian, or modern natural major scale. The Locrian mode has the formula:

: 1, {{sup|{{music|b}}}}2, {{sup|{{music|b}}}}3, 4, {{sup|{{music|b}}}}5, {{sup|{{music|b}}}}6, {{sup|{{music|b}}}}7

The chord progression for Locrian starting on B is B{{sub|dim 5}}, C{{sup|Maj}}, D{{sub|min}}, E{{sub|min}}, F{{sup|Maj}}, G{{sup|Maj}}, A{{sub|min}}.

Its tonic chord is a diminished triad (B{{sub|dim}} = B{{su|b=min 3|p=dim 5}} = {{sub|B}}{{small|{{small|D}}}}{{sup|F}}, in the Locrian mode using the white-key diatonic scale with starting note B, corresponding to a C major scale starting on its 7th tone). This mode's diminished fifth and the Lydian mode's augmented fourth are the only modes that contain a tritone as a note in their modal scale.

List of Modern Locrian scales

class="wikitable"

!Major Key

!Minor Key

!Key Signatures

!Tonic of the locrian scale

!Locrian scale

G♯ major

|E♯ minor

|8♯

|F𝄪

|F𝄪 G♯ A♯ B♯ C♯ D♯ E♯

C♯ major

|A♯ minor

7B♯B♯ C♯ D♯ E♯ F♯ G♯ A♯
F♯ major

|D♯ minor

6♯E♯E♯ F♯ G♯ A♯ B C♯ D♯
B major

|G♯ minor

5♯A♯A♯ B C♯ D♯ E F♯ G♯
E major

|C♯ minor

4♯D♯D♯ E F♯ G♯ A B C♯
A major

|F♯ minor

3♯G♯G♯ A B C♯ D E F♯
D major

|B minor

2♯C♯C♯ D E F♯ G A B
G major

|E minor

1♯F♯F♯ G A B C D E
C major

|A minor

-BB C D E F G A
F major

|D minor

1EE F G A B♭ C D
B♭ major

|G minor

2♭AA B♭ C D E♭ F G
E♭ major

|C minor

3♭DD E♭ F G A♭ B♭ C
A♭ major

|F minor

4♭GG A♭ B♭ C D♭ E♭ F
D♭ major

|B♭ minor

5♭CC D♭ E♭ F G♭ A♭ B♭
G♭ major

|E♭ minor

6♭FF G♭ A♭ B♭ C♭ D♭ E♭
C♭ major

|A♭ minor

7♭B♭B♭ C♭ D♭ E♭ F♭ G♭ A♭
F♭ major

|D♭ minor

|8♭

|E♭

|E♭ F♭ G♭ A♭ B𝄫 C♭ D♭

Overview

The Locrian mode is the only modern diatonic mode in which the tonic triad is a diminished chord (flattened fifth), which is considered very dissonant. This is because the interval between the root and fifth of the chord is a diminished fifth. For example, the tonic triad of B Locrian is made from the notes B, D, F. The root is B and the dim 5th is F. The diminished-fifth interval between them is the cause for the chord's striking dissonance.{{citation needed|date=January 2018}}

: {

\override Score.TimeSignature #'stencil = ##f

\relative c' {

\clef treble \time 7/4

b4^\markup { B Locrian mode } c d e f g a b2

} }

The name "Locrian" is borrowed from music theory of ancient Greece. However, what is now called the Locrian mode was what the Greeks called the diatonic Mixolydian tonos. The Greeks used the term "Locrian" as an alternative name for their "Hypodorian", or "common" tonos, with a scale running from mese to nete hyperbolaion, which in its diatonic genus corresponds to the modern Aeolian mode.{{cite dictionary |first=T.J. |last=Mathiesen |author-link=Thomas J. Mathiesen |year=2001 |section=Greece, §1: Ancient; §6: Music Theory |dictionary=The New Grove Dictionary of Music and Musicians |edition=2nd |editor1-first=Stanley |editor1-last=Sadie |editor1-link=Stanley Sadie |editor2-first=John |editor2-last=Tyrrell |editor2-link=John Tyrrell (professor of music) |place=London, UK |publisher=Macmillan Publishers |pages= }}

In his reform of modal theory,{{cite book |first=H. |last=Glarean |author-link=Heinrich Glarean |year=1547 |title=Dodecachordon }} Glarean named this division of the octave "hyperaeolian" and printed some musical examples (a three-part polyphonic example specially commissioned from his friend Sixtus Dietrich, and the Christe from a mass by Pierre de La Rue), though he did not accept hyperaeolian as one of his twelve modes.{{cite dictionary |first=Harold S. |last=Powers |title=Hyperaeolian |year=2001c |dictionary=The New Grove Dictionary of Music and Musicians |edition=2nd |editor1-first=Stanley |editor1-last=Sadie |editor1-link=Stanley Sadie |editor2-first=John |editor2-last=Tyrrell |editor2-link=John Tyrrell (professor of music) |place=London, UK |publisher=Macmillan Publishers |pages= }} The use of the term "Locrian" as equivalent to Glarean's hyperaeolian or the ancient Greek (diatonic) mixolydian, however, has no authority before the 19th century.

Use

{{More citations needed|section|date=January 2023}}

=Use in classical music=

There are brief passages in classical, especially orchestral, works that have been regarded as using the Locrian mode:

  • Sergei Rachmaninoff (Prelude in B minor, op. 32, no. 10),
  • Paul Hindemith (Ludus Tonalis),
  • Jean Sibelius (Symphony No. 4 in A minor, op. 63).{{cite book |first=Vincent |last=Persichetti |year=1961 |title=Twentieth Century Harmony |place=New York, NY |publisher=W.W. Norton & Company |page=42 }}
  • Claude Debussy's Jeux has three extended passages in the Locrian mode.{{cite magazine |first=Eduardo |last=Larín |date=Spring–Summer 2005 |title= "Waves" in Debussy's Jeux d'eau  |magazine=Ex Tempore |volume=12 |issue=2 |url=http://www.ex-tempore.org/eduardo/eduardo.htm |via=ex-tempore.org }}
  • Paul Hindemith's "Turandot Scherzo", the theme of the second movement of Symphonic Metamorphosis of Themes by Carl Maria von Weber (1943) alternates sections in mixolydian and Locrian modes, ending in Locrian.{{cite conference |first=Gene |last=Anderson |year=1996 |title= The triumph of timelessness over time in Hindemith's "Turandot Scherzo" from Symphonic Metamorphosis of Themes by Carl Maria von Weber |conference=College Music Symposium |volume=36 |pages=1–15, citation p 3 }}
  • Benjamin Britten used the Locrian mode for "In Freezing Winter's Night", the ninth song in A Ceremony of Carols.
  • Evan Bennett, an American composer, composed his Gnossienne No. 1 in F Locrian in the Locrian mode, in homage to Erik Satie’s Gnossienne No. 1 (ca. 1890).{{cite web |date=6 March 2024 |title=Using Modes to Compose: Locrian |last=Mair |first=Nadia |url=https://www.nadiamair.com/post/using-modes-to-compose-locrian |website=The Composer's Life |access-date=30 May 2025}}{{cite web |date=17 February 2023 |title=Songs in the Locrian Mode |url=https://www.cmuse.org/songs-in-locrian-mode/ |website=CMUSE |access-date=28 May 2025}}

References

{{reflist|25em}}

Further reading

{{refbegin|25em|small=yes}}

  • {{cite journal |last=Bárdos |first=Lajos |date=December 1976 |title=Egy 'szomorú' hangnem: Kodály zenéje és a lokrikum |journal=Magyar zene: Zenetudományi folyóirat |volume=17 |issue=4 |pages=339–387 }}
  • {{cite book |last=Hewitt |first=Michael |year=2013 |title=Musical Scales of the World |publisher=The Note Tree |isbn=978-0957547001 }}
  • {{cite book |last1=Nichols |first1=Roger |last2=Smith |first2=Richard Langham |year=1989 |title=Claude Debussy, Pelléas et Mélisande |series=Cambridge Opera Handbooks |place=Cambridge, UK / New York, NY |publisher=Cambridge University Press |isbn=978-0-521-31446-6 }}
  • {{cite journal |last=Rahn |first=Jay |date=Fall 1978 |title=Constructs for modality, ca. 1300–1550 |journal=Canadian Association of University Schools of Music Journal |volume=8 |issue=2 |pages=5–39 }}
  • {{cite journal |last=Rowold |first=Helge |date=April–June 1999 |title='To achieve perfect clarity of expression, that is my aim': Zum Verhältnis von Tradition und Neuerung in Benjamin Britten's War Requiem |journal=Die Musikforschung |volume=52 |issue=2 |pages=212–219 |doi=10.52412/mf.1999.H2.889 }}
  • {{cite dictionary |last=Smith |first=Richard Langham |year=1992 |entry=Pelléas et Mélisande |title=The New Grove Dictionary of Opera |editor-first=Stanley |editor-last=Sadie |editor-link=Stanley Sadie |place=London, UK / New York, NY |publisher=Macmillan Press |series=Grove's Dictionaries of Music }} {{ISBN|0-333-48552-1}} (UK) {{ISBN|0-935859-92-6}} (US)

{{refend}}