
What is a tone row in music?
In music, a tone row or note row ( German: Reihe or Tonreihe ), also series or set, is a non-repetitive ordering of a set of pitch-classes, typically of the twelve notes in musical set theory of the chromatic scale, though both larger and smaller sets are sometimes found.
What are tone rows and matrix?
For many people, the terms tone row and matrix are synonymous with post-tonal theory. Luckily, your basic understanding of set theory comprehending tone rows fairly simple. Let’s use set classes as a way to build up to understanding tone rows. To do this, start by writing out each unique, normal-form pc set represented in the set class of (013).
How do you use set classes to learn tone rows?
Let’s use set classes as a way to build up to understanding tone rows. To do this, start by writing out each unique, normal-form pc set represented in the set class of (013). Use your ability to transpose and invert that pc set to find them quickly. You can also think of this as listing every pc set represented by a single prime form.
What are the tones in music?
The tones can usually be played in any rhythm and with any dynamics, so although the composer has a predetermined selection of notes to use, he or she will have free reign with regards to other elements of the composition. Retrograde is the name we give to the tone row when it’s played in reverse order, from back to front.

What is a tone row in music?
noun Music. a series of tones in which no tone is duplicated, and in which the tones generally recur in fixed sequence, with variations in rhythm and pitch, throughout a composition.
How do you use tone rows?
4:139:52Twelve Tone Triads - How To Use Tone Rows In Your SoloingYouTubeStart of suggested clipEnd of suggested clipComing down be augmented. Then F sharp minor E flat major so C augmented be diminished E flat.MoreComing down be augmented. Then F sharp minor E flat major so C augmented be diminished E flat.
How do I find tone rows?
5:109:34Clinic: Serialism (Tone Rows) - Prime and Retrograde - YouTubeYouTubeStart of suggested clipEnd of suggested clipIt's c-sharp. The second note of p1 is based on the second note of the prime. Order p0. So we find fMoreIt's c-sharp. The second note of p1 is based on the second note of the prime. Order p0. So we find f sharp on our keyboard. And we go up one semitone or one half step and it takes us to the g.
What is tone row technique?
The technique is a means of ensuring that all 12 notes of the chromatic scale are sounded as often as one another in a piece of music while preventing the emphasis of any one note through the use of tone rows, orderings of the 12 pitch classes.
How do you create a tone row?
0:494:58Writing A Row - YouTubeYouTubeStart of suggested clipEnd of suggested clipThat's where you get to be the artist since twelve-tone compositions are often atonal anyway oneMoreThat's where you get to be the artist since twelve-tone compositions are often atonal anyway one interesting way to make a row is just to use a random number generator.
What is the 12-tone row?
Twelve-tone music is based on series (sometimes called a row) that contains all twelve pitch classes in a particular order. There is no one series used for all twelve-tone music; most composers write a unique row for each piece.
How many tone rows are there?
12-tone rowThe basic order for any one composition came to be known as its basic set, its 12-tone row, or its 12-tone series, all of which terms are synonymous. The basic set for Schoenberg's Wind Quintet (1924) is E♭–G–A–B–C♯–C–B♭–D–E–F♯–A♭–F; for his String Quartet No. 4 (1936) it is D–C♯–A–B♭–F–E♭–E–C–A♭–G–F♯–B.
How do 12-tone rows work?
A row is an ordered set of the twelve pitch classes of the chromatic scale. Each of the 12 will appear exactly once, and order is paramount. 12-tone rows that can be related to each other by transposition, inversion, and/or retrograde operations are considered to be forms of the same row.
How do you make a 12-tone row?
Create a Twelve-Tone Melody With a Twelve-Tone MatrixIntroduction: Create a Twelve-Tone Melody With a Twelve-Tone Matrix. ... Step 1: Write Numbers in the Top Row. ... Step 2: Populate the First Column. ... Step 3: Fill in the Second Row. ... Step 4: Fill in the Remaining Rows. ... Step 5: Translate the Numbers to Pitches. ... Step 6: Write Music!
Who used tone rows?
Arnold SchoenbergTone rows are the basis of Arnold Schoenberg's twelve-tone technique and most types of serial music. Tone rows were widely used in 20th-century contemporary music, like Dmitri Shostakovich's use of twelve-tone rows, "without dodecaphonic transformations."
How do you use 12-tone technique?
1:1311:43Twelve Tone Technique - Music Composition - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo if i go up the octave chromatically c c sharp d e flat e f f sharp g g sharp a a sharp b and thenMoreSo if i go up the octave chromatically c c sharp d e flat e f f sharp g g sharp a a sharp b and then we're back to c again aren't we so we end up with 12 notes.
What is a prime tone row?
The prime version of the row (also call original) is a collection of pitches in a specific order. In reference to a twelve-tone row, "prime" means "original form," a different meaning than the "prime form" of an unordered set discussed in the previous chapter.
Who used tone rows?
Arnold SchoenbergTone rows are the basis of Arnold Schoenberg's twelve-tone technique and most types of serial music. Tone rows were widely used in 20th-century contemporary music, like Dmitri Shostakovich's use of twelve-tone rows, "without dodecaphonic transformations."
What are the rules in creating a tone row based on the 12-tone theory?
You may begin two or more notes simultaneously, as long as they occur sequentially in the row. Any number of rows may be played concurrently. They may begin and end at any time; rows do not have to start or end together. Any types of row may be played concurrently, starting on any pitch.
How many tone rows are there?
12-tone rowThe basic order for any one composition came to be known as its basic set, its 12-tone row, or its 12-tone series, all of which terms are synonymous. The basic set for Schoenberg's Wind Quintet (1924) is E♭–G–A–B–C♯–C–B♭–D–E–F♯–A♭–F; for his String Quartet No. 4 (1936) it is D–C♯–A–B♭–F–E♭–E–C–A♭–G–F♯–B.
What is a prime tone row?
The prime version of the row (also call original) is a collection of pitches in a specific order. In reference to a twelve-tone row, "prime" means "original form," a different meaning than the "prime form" of an unordered set discussed in the previous chapter.
What is a series of tones in which no tone is duplicated?
noun Music. a series of tones in which no tone is duplicated, and in which the tones generally recur in fixed sequence, with variations in rhythm and pitch, throughout a composition.
What is the meaning of the word "note row"?
music a group of notes having a characteristic pattern or order that forms the basis of the musical material in a serial composition, esp one consisting of the twelve notes of the chromatic scaleAlso called: note row See also serialism, twelve-tone.
History and usage
Tone rows are the basis of Arnold Schoenberg 's twelve-tone technique and most types of serial music.
Theory and compositional techniques
Tone rows are designated by letters and subscript numbers (ex.: RI 11, also may appear RI11 or RI-11). The numbers indicate the initial (P or I) or final (R or RI) pitch-class number of the given row form, most often with c =0. P indicates prime, a forward-directed right-side up form. I indicates inversion, a forward-directed upside-down form.
Nonstandard tone rows
Schoenberg specified many strict rules and desirable guidelines for the construction of tone rows such as number of notes and intervals to avoid.
See also
A literary parallel of the tone row is found in Georges Perec 's poems which use each of a particular set of letters only once.
External links
" How Rare Is Symmetry in Musical 12-Tone Rows? " by David J. Hunter and Paul T. von Hippel.
tone row in American English
Webster’s New World College Dictionary, 4th Edition. Copyright © 2010 by Houghton Mifflin Harcourt. All rights reserved.
tone row in American English
Most material © 2005, 1997, 1991 by Penguin Random House LLC. Modified entries © 2019 by Penguin Random House LLC and HarperCollins Publishers Ltd
What is the most common mistake when creating a matrix?
The most common mistake when creating a matrix, other than simply mis-transposing, is the mislabeling of the tone rows. Remember that the labels for R and RI rows are based on their corresponding prime and inverted rows, NOT the starting pitch of the R or RI rows.
What if rather than writing T 0 and T 0 I in a straight line, we rotated the
What if rather than writing T 0 and T 0 I in a straight line, we rotated the inversion pc set, T 0 I, downward at 90 degree angle to create a verical column? This would create the outline for a 12 by 12 grid with T 0 as the top row and T 0 I as the first column.
What is the labeling method for tone row matrices?
The most often used labeling method for tone row matrices is fixed-zero notation, but movable-zero is preferred by some. Either is possible, but make sure that you are consistent in your application and clearly state which method you are using in any analysis.#N#In fixed-zero, 0 will always be the pitch class that includes C.#N#In movable-zero, the analyst chooses a primary pitch to designate as 0 based on the important features of the piece (e.g. it is often the first pitch class of the piece) and then determines each other pitch class’s number based on the intervallic relationship to the designated 0 pitch class.
How many PC sets are there for each possible starting pitch?
Because each of the pc sets will be in normal form, we know that there is only one pc set for each possible starting pitch. We can represent these using transposition notation.
What is serialism in music?
(Although set theory can be used to study any type of music as long as it uses the twelve pitches from the chromatic scale.) Serialism is any music in which some aspect of the composition is based on a pre-defined repeatable pattern; this can be the melodic intervals, harmonic intervals, harmonies, rhythm, or any other aspect of music that could be described in a series.
What is the difference between serialism and twelve tone?
The two terms are often used interchangeably but, in fact, twelve-tone technique is just one type – and the best-known example – of serialism. Serialism refer s to a piece that uses a fixed, repeating series of a particular musical element as the basis of a piece. Twelve-tone music applies that approach to pitch via a tone row of the twelve notes ...
What is the second Viennese school?
Collectively, Schoenberg, Berg and Webern are known as the Second Viennese School (whereas the First Viennese School refers to the likes of Mozart, Haydn and Beethoven who were centred around Vienna in the late 18th Century). Schoenberg’s Suite for Piano, Opus 25 is a classic example of twelve-tone music: Schoenberg – ‘Suite for Piano, Opus 25’.
What is retrograde music?
Retrograde. Retrograde is the name we give to the tone row when it’s played in reverse order, from back to front. The fact that this is possible contributes to the idea of twelve-tone music being quite a mathematical, ordered and logical music.
What is the twelve tone technique?
Twelve-tone technique is a method of musical composition, where all of the twelve notes of the chromatic scale are used in a fixed order, which is then used in various systematic ways, with all of the notes generally given more-or-less equal importance. This is in stark contrast to the rules and conventions or major and minor tonality which govern ...
How many notes are in a tone row?
A tone row places all twelve notes of the chromatic scale into a fixed order, with each note being used once before any notes are repeated. This tone row can then be manipulated in various ways. In traditional tonal music some notes within a key centre are more important or prominent than others. For example, in a piece in C major the tonic (C) ...
What is semi simple variation?
Babbitt’s Semi-Simple Variations is an example of this, in that it uses twelve-tone technique, but also applies serialist technique to rhythm: Milton Babbitt – ‘Semi-Simple Variations’.
What is prime in music?
Prime is the name we use to refer to the tone row in its original form. It is a fixed series of the twelve notes of the chromatic scale in a given order. This makes use of all twelve notes of the chromatic scale. They can be in any order but, usually, there must be no repetition until every note has been used.

History and Usage
Theory and Compositional Techniques
- Tone rows are designated by letters and subscript numbers (ex.: RI11, also may appear RI11 or RI-11). The numbers indicate the initial (P or I) or final (R or RI) pitch-class number of the given row form, most often with c=0. P indicates prime, a forward-directed right-side up form. I indicates inversion, a forward-directed upside-down form. R indi...
Nonstandard Tone Rows
- Schoenberg specified many strict rules and desirable guidelines for the construction of tone rows such as number of notes and intervals to avoid. Tone rows which depart from these guidelines include the above tone row from Berg's Violin Concerto which contains triads and tonal emphasis, and the tone row below from Luciano Berio's Noneswhich contains a repeated note making it a 't…
See Also
- A literary parallel of the tone row is found in Georges Perec's poems which use each of a particular set of letters only once. Tone row may also be used to describe other musical collections or scales such as in Arabic music. 1. Musical set theory 2. Unified field 3. Side-slipping
Sources
- ^ Arnold Whittall, The Cambridge Introduction to Serialism, Cambridge Introductions to Music (New York: Cambridge University Press, 2008): 2. ISBN 978-0-521-68200-8(pbk).
- ^ a b George Perle, Serial Composition and Atonality: An Introduction to the Music of Schoenberg, Berg, and Webern, fourth Edition (Berkeley, Los Angeles, and London: University of California Press...
- ^ Arnold Whittall, The Cambridge Introduction to Serialism, Cambridge Introductions to Music (New York: Cambridge University Press, 2008): 2. ISBN 978-0-521-68200-8(pbk).
- ^ a b George Perle, Serial Composition and Atonality: An Introduction to the Music of Schoenberg, Berg, and Webern, fourth Edition (Berkeley, Los Angeles, and London: University of California Press...
- ^ Discovery Reveals Bach's Postmodern Side. Weekend Edition Sunday, NPR, 6 Sep 2009.
- ^ Hans Keller, "Strict Serial Technique in Classical Music", Tempo, New Series, no. 37 (Autumn, 1955): 12–24; citations on 14–21.