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Xenharmonic music

Xenharmonic music is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Xenharmonic music rather than just read about it. In short: 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 the Greek xenos (Greek ξένος) meaning both foreign and hospitable.

Xenharmonic music — main illustration
Xenharmonic music — illustration

Key takeaways

  • Xenharmonic music belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Xenharmonic music to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Xenharmonic music from memory before moving on to harder problems.

Reference excerpt

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 the Greek xenos (Greek ξένος) meaning both foreign and hospitable. He stated that it was "intended to include just intonation and such temperaments as the 5-, 7-, and 11-tone, along with the higher-numbered really-microtonal 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 timbres. 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 "[t]emperaments 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.

About his 16-tone etude, Blackwood wrote: This tuning is best thought of as a combination of four intertwined diminished seventh chords. Since 12-note tuning can be regarded as a combination of three diminished seventh chords, it is plain that the two tunings have elements in common. The most obvious difference in the way the two tunings sound and work is that triads in 16-note tuning, although recognizable, are too discordant to serve as the final harmony in cadences. Keys can still be established by successions of altered subdominant and dominant harmonies, however, and the Etude is based mainly upon this property. The fundamental consonant harmony employed is a minor triad with an added minor seventh. 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 spectrum or overtone series 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 created the tubulong, a set of xenharmonic tubes. Electronic music 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 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, 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, Ivor Darreg, and Paul Erlich.

See also Bohlen–Pierce scale Regular temperament

References

Further reading Sethares, William (2004) Tuning, Timbre, Spectrum, Scale. ISBN 3-540-76173-X.

External links Microtonality - Web (in Spanish) Microtonal music on CD Homepage for William Sethares The Xenharmonic Wiki, formerly at Wikispaces Xenharmonic Alliance Barbieri, Patrizio. Enharmonic instruments and music, 1470-1900 Archived 2009-02-15 at the Wayback Machine. (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

Illustrations

Xenharmonic music: Xenharmonicity includes intervals larger than those in 12-tet (<12-tet) and microtonality includes intervals smaller than those in 12-tet (>12-tet). Playⓘ
Xenharmonicity includes intervals larger than those in 12-tet (<12-tet) and microtonality includes intervals smaller than those in 12-tet (>12-tet). Playⓘ

Worked examples

Example 1 — a first encounter with Xenharmonic music

Start with the simplest possible case. Write down what Xenharmonic music claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Xenharmonic music before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Xenharmonic music ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Xenharmonic music

In research
Xenharmonic music appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Xenharmonic music in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Xenharmonic music is common in secondary-school and first-year university syllabi. It links to neighbouring topics Microtonality, so understanding it makes those chapters shorter.
In everyday life
Look for Xenharmonic music outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Xenharmonic music in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Xenharmonic music means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Xenharmonic music out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Xenharmonic music in simple terms?

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 the Greek xenos (Greek ξένος) meaning both foreign and hospitable.

Why does Xenharmonic music matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Xenharmonic music?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Xenharmonic music.

Tags

  • Microtonality

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