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music Music is the arrangement of sound to create some combination of Musical form, form, harmony, melody, rhythm, or otherwise Musical expression, expressive content. Music is generally agreed to be a cultural universal that is present in all hum ...
, the acoustic scale, overtone scale, Lydian dominant scale (Lydian 7 scale), or the Mixolydian 4 scale is a seven-note synthetic scale. It is the fourth mode of the ascending melodic minor scale. : This differs from the major scale in having an augmented fourth and a minor seventh scale degree. The term "acoustic scale" is sometimes used to describe a particular mode of this seven-note collection (e.g. the specific ordering C–D–E–F–G–A–B) and is sometimes used to describe the collection as a whole (e.g. including orderings such as E–F–G–A–B–C–D).


History

In traditional music, the overtone scale persists in the music of peoples of South
Siberia Siberia ( ; , ) is an extensive geographical region comprising all of North Asia, from the Ural Mountains in the west to the Pacific Ocean in the east. It has formed a part of the sovereign territory of Russia and its predecessor states ...
, especially in Tuvan music. Overtone singing and the sound of the Jew's harp are naturally rich in overtones, but melodies performed on the igil (bowed instrument distantly related to the violin) and plucked string instruments such as the doshpuluur or the chanzy also often follow the overtone scale, sometimes with pentatonic slices. The acoustic scale appears sporadically in nineteenth-century music, notably in the works of
Franz Liszt Franz Liszt (22 October 1811 – 31 July 1886) was a Hungarian composer, virtuoso pianist, conductor and teacher of the Romantic music, Romantic period. With a diverse List of compositions by Franz Liszt, body of work spanning more than six ...
and Claude Debussy. It also plays a role in the music of twentieth-century composers, including
Igor Stravinsky Igor Fyodorovich Stravinsky ( – 6 April 1971) was a Russian composer and conductor with French citizenship (from 1934) and American citizenship (from 1945). He is widely considered one of the most important and influential 20th-century c ...
,
Béla Bartók Béla Viktor János Bartók (; ; 25 March 1881 – 26 September 1945) was a Hungarian composer, pianist and ethnomusicologist. He is considered one of the most important composers of the 20th century; he and Franz Liszt are regarded as Hunga ...
, and Karol Szymanowski, who was influenced by folk music from the Polish Highlands. The acoustic scale is also remarkably common in the music of
Nordeste The Northeast Region of Brazil ( ) is one of the five official and political regions of Brazil, regions of the country according to the Brazilian Institute of Geography and Statistics. Of Brazil's twenty-six states, it comprises nine: Maranhão, ...
, the northeastern region of Brazil (see Escala nordestina). It plays a major role in jazz harmony, where it is used to accompany dominant seventh chords starting on the first scale degree. The term "acoustic scale" was coined by Ernő Lendvai in his analysis of the music of
Béla Bartók Béla Viktor János Bartók (; ; 25 March 1881 – 26 September 1945) was a Hungarian composer, pianist and ethnomusicologist. He is considered one of the most important composers of the 20th century; he and Franz Liszt are regarded as Hunga ...
. Wilson, Paul (1992). ''The Music of Béla Bartók'', p. 7. .


Construction

The name "acoustic scale" refers to the resemblance to the eighth through 14th partials in the harmonic series (). Starting on , the harmonic series is , , , , , , , , , , , , , , , ... The bold notes spell out an acoustic scale on . However, in the harmonic series, the notes marked with asterisks are out of tune: () is almost exactly halfway between and , () is about 9 cents closer to than , and is too flat to be generally accepted as part of 12 equal temperament, being almost exactly a third of a semitone flatter in just intonation. The acoustic scale may be formed from a major triad (C E G) with an added minor seventh and raised fourth (B and F, drawn from the overtone series) and major second and major sixth (D and A). Lendvai described the use of the "acoustic system" accompanying the acoustic scale in Bartók's music, since it entails structural characteristics such as symmetrically balanced sections, especially periods, in contrast with his use of the
golden ratio In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their summation, sum to the larger of the two quantities. Expressed algebraically, for quantities and with , is in a golden ratio to if \fr ...
. In Bartók's music, the acoustic scale is characterized in various ways including diatonic, dynamic, tense, and triple- or other odd-metered, as opposed to the music structured by the Fibonacci sequence which is chromatic, static, relaxed, and duple-metered. Another way to regard the acoustic scale is that it occurs as a mode of the melodic minor scale starting on the fourth degree. Hence, the acoustic scale starting on D is D, E, F, G, A, B, C, D, containing the familiar sharpened F and G of A melodic minor. The F turns the D minor
tetrachord In music theory, a tetrachord (; ) is a series of four notes separated by three interval (music), intervals. In traditional music theory, a tetrachord always spanned the interval of a perfect fourth, a 4:3 frequency proportion (approx. 498 cent (m ...
into a major tetrachord, and the G turns it Lydian. Therefore, many occurrences of this scale in
jazz Jazz is a music genre that originated in the African-American communities of New Orleans, Louisiana, in the late 19th and early 20th centuries. Its roots are in blues, ragtime, European harmony, African rhythmic rituals, spirituals, h ...
may be regarded as unsurprising; it shows up in modal improvisation and composition over harmonic progressions which invite use of the melodic minor.


See also

*
Chord-scale system The chord-scale system is a method of matching, from a list of possible chord (music), chords, a list of possible scale (music), scales.Mervyn Cooke, David Horn (2003). ''Cambridge Companions to Music, The Cambridge Companion to Jazz'', p.266. . ...
*
Jazz scale A jazz scale is any musical scale used in jazz. Many "jazz scales" are common scales drawn from European classical music, Western European classical music, including the diatonic scale, diatonic, whole-tone scale, whole-tone, octatonic scale, oc ...
* Mystic chord * Scale of harmonics * Vachaspati (raga)


Notes


References


External links


The Acoustic scale (Lydian dominant), all keys, for ocarina
{{Modes, state=uncollapse Heptatonic scales Modes (music) Hemitonic scales Tritonic scales