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Xenharmonic music is music that uses a tuning system that is unlike the 12-tone equal temperament scale. It was named by Ivor Darreg, from Xenia (
Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor ...
ξενία), ''hospitable,'' and Xenos (
Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor ...
ξένος) ''foreign.'' He stated that it was "intended to include
just intonation In music, just intonation or pure intonation is the tuning of musical intervals as whole number ratios (such as 3:2 or 4:3) of frequencies. An interval tuned in this way is said to be pure, and is called a just interval. Just intervals (and ...
and such temperaments as the 5-, 7-, and 11-tone, along with the higher-numbered really-
microtonal Microtonal music or microtonality is the use in music of microtones— intervals smaller than a semitone, also called "microintervals". It may also be extended to include any music using intervals not found in the customary Western tuning of t ...
systems as far as one wishes to go." John Chalmers, author of ''Divisions of the Tetrachord'', wrote, "The converse of this definition is that music which can be performed in 12-tone equal temperament without significant loss of its identity is not truly ''microtonal''." Thus xenharmonic music may be distinguished from twelve-tone equal temperament, as well as use of intonation and equal temperaments, by the use of unfamiliar intervals, harmonies, and
timbre In music, timbre ( ), also known as tone color or tone quality (from psychoacoustics), is the perceived sound quality of a musical note, sound or tone. Timbre distinguishes different types of sound production, such as choir voices and music ...
s.. Theorists other than Chalmers consider xenharmonic and non-xenharmonic to be subjective. Edward Foote, in his program notes for ''6 degrees of tonality'', refers to the differences in his response to the tunings he uses, such as Kirnberger and DeMorgan, from "shocking," to "too subtle to immediately notice," saying that " mperaments are new territory for 20th-century ears. The first-time listener may find it shocking to hear the harmony change 'color' during modulations or too subtle to immediately notice."


Diatonic xenharmonic music

Music also can share much of the familiar territory of twelve-tone music yet also contain xenharmonic features. For example, Easley Blackwood, author of ''The Structure of Recognizable Diatonic Tunings'' (1985), wrote many etudes in equal temperament systems ranging from 12 to 24 tones. These etudes bring out connections and resemblances to twelve-tone music as well as various xenharmonic characteristics, reflected in ''
Twelve Microtonal Etudes for Electronic Music Media ''Twelve Microtonal Etudes for Electronic Music Media'', Op. 28, is a set of pieces in various microtonal equal temperaments composed and released on LP in 1980 by American composer Easley Blackwood Jr. In the late 1970s, Blackwood won a ...
''. More radically, for his sixteen notes, Andantino writes: Darreg explains: "I devised the term 'xenharmonic' to refer to everything that does not sound like 12-tone equal temperament."


Tunings, instruments, and composers

Music using scales or tuning other than 12-tone equal temperament can be classified as xenharmonic music. This includes other equal divisions of the octave and scales based on extended just intonation. Tunings derived from the partials or overtones of physical objects with an
inharmonic In music, inharmonicity is the degree to which the frequencies of overtones (also known as partials or partial tones) depart from whole multiples of the fundamental frequency ( harmonic series). Acoustically, a note perceived to have a singl ...
spectrum or
overtone series A harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a '' fundamental frequency''. Pitched musical instruments are often based on an acoustic resonator ...
such as rods, prongs, plates, discs, spheroids and rocks occasionally are the basis of xenharmonic exploration. William Colvig, who worked with the composer
Lou Harrison Lou Silver Harrison (May 14, 1917 – February 2, 2003) was an American composer, music critic, music theorist, painter, and creator of unique musical instruments. Harrison initially wrote in a dissonant, ultramodernist style similar to his ...
created the ''tubulong'', a set of xenharmonic tubes.
Electronic music Electronic music is a Music genre, genre of music that employs electronic musical instruments, digital instruments, or electronics, circuitry-based music technology in its creation. It includes both music made using electronic and electromech ...
composed with arbitrarily chosen xenharmonic scales was explored on the album ''Radionics Radio: An Album of Musical Radionic Thought Frequencies'' (2016) by British composer Daniel Wilson, who composed with frequency-runs submitted by users of a
web application A web application (or web app) is application software that is accessed using a web browser. Web applications are delivered on the World Wide Web to users with an active network connection. History In earlier computing models like client-serve ...
that replicated radionics-based electronic soundmaking equipment used by Oxford's De La Warr Laboratories in the late 1940s. Elaine Walker (composer) is an electronic musician who writes xenharmonic music by building new types of music keyboards. The Non-Pythagorean scale utilized by Robert Schneider of The Apples in Stereo, based on a sequence of
logarithms In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number  to the base  is the exponent to which must be raised, to produce . For example, since , the ''logarithm base'' 10 o ...
, may be considered xenharmonic, as well as Annie Gosfield's purposefully "out of tune" sampler-based music using non systematic tunings and the work of other composers including Elodie Lauten,
Wendy Carlos Wendy Carlos (born Walter Carlos, November 14, 1939) is an American musician and composer best known for her electronic music and film scores. Born and raised in Rhode Island, Carlos studied physics and music at Brown University before movin ...
, Ivor Darreg, and
Paul Erlich Paul Erlich (born 1972) is a guitarist and music theorist living near Boston, Massachusetts. He is known for his seminal role in developing the theory of regular temperaments, including being the first to define pajara temperament Accessed 2013 ...
.


See also

*
Bohlen–Pierce scale The Bohlen–Pierce scale (BP scale) is a musical tuning and scale, first described in the 1970s, that offers an alternative to the octave-repeating scales typical in Western and other musics, specifically the equal-tempered diatonic scale. T ...
* Regular temperament


References


Further reading

*Sethares, William (2004
''Tuning, Timbre, Spectrum, Scale''
.


External links


Microtonality - Web

Homepage for William SetharesThe Xenharmonic Wiki
formerly at Wikispaces
Xenharmonic Alliance
* Barbieri, Patrizio

(2008) Latina, Il Levante Libreria Editrice
Blackwood Microtonal Compositions Easley Blackwood & Jeffrey Kust, on iTunes
Includes ''Fanfare in 19-EDO''. Also includes the ''16 notes Andantino'' as the first of the twelve etudes in that collection.
microtonal piano work of Noah Jordan
{{Microtonal music Microtonality