The idea
A row is an ordering of all twelve pitch classes, and it decides one thing only. It decides what note comes next. Register, rhythm, dynamic, articulation, timbre, tempo, all of it stays yours. That is why the method is useful to you and not just to Schoenberg. You already write riffs whose identity lives in rhythm and attack. A row hands you a pitch succession you would never have found with your hands, and leaves every parameter you actually care about untouched.
The source course calls the row "the DNA of its composition" (Lesson 18). Treat that literally. One row, twelve notes, and every riff in a piece can descend from it, the way every riff on your EP descended from whatever your fingers happened to know.
Be honest about the second half of this lesson before you start it. Serialism is not a rock practice. There is exactly one documented case of a metal composer writing actual twelve-tone music, and we will study it. Everything else in this module is a technique borrowed on purpose, by you, because it generates material you would not otherwise write.
Watch
Motivic Development??? (3:38)
- [00:33] Greg defines a cell of exactly three notes, a half step plus a whole step, and solos through a whole tune using nothing else. A row is this discipline extended to twelve.
- [01:31] The cell can be inverted, reordered, played in any direction. "That's the same cell but I flipped it upside down and rearranged the notes." That sentence is the entire twelve-tone transformation system, stated without the vocabulary.
- [02:47] Why the restriction works: it forces foresight about where you are landing, and it forces consistent material to get there.
- [03:08] The problem it fixes, in his words: "flying all over the place and doing all these things, using vocabulary that says nothing because you're not developing any musical ideas."
Weekly Piano Improv #46 - for Schoenberg lovers (3:10)
- No transcript exists for this video, so nothing verbal can be reported from it. Watch it as a listening exercise, not a lecture.
- Track what holds the improvisation together once the tonal center is gone. Contour and interval have to carry the whole load.
- Note how long a single intervallic shape stays in play before he moves on. That duration is a compositional decision you will have to make in the exercises below.
Listen
Pass 1, surface. Schoenberg Op. 25, Prelude. Do not look for the row. Listen for the dance. The suite is built out of Baroque dance movements, and the opening presents the row as a melody with a gait.
Pass 2, structure. Same recording. Count phrase entries. Try to hear where one complete circulation of twelve notes ends and the next begins. You will be wrong often. Being wrong here is data about how audible the method is.
Pass 5, relationships. Webern Op. 27 next to Op. 25. Both are twelve-tone. They sound nothing alike. The source course puts it as Schoenberg being "rhetorical and gestural" where Webern is "lapidary and geometric." Write down three adjectives for each and keep them.
Sing. Sing your own row, all twelve notes, unaccompanied, before you ever play it. If you cannot sing it, it is not a melody yet, and a row that is not a melody will not generate riffs worth keeping.
Tap. Play "Bleed" and tap the 4/4 the cymbals hold. Meshuggah's pitch material is minimal and stays put. That is the counter-case, and holding it in your ear keeps this lesson honest.
The comparison
The parallel. A twelve-tone row is an ordered pitch succession subjected to four operations: prime, inversion, retrograde, retrograde inversion, each at twelve transpositions, which gives 48 forms (source course, Lesson 18). Ron Jarzombek, the guitarist behind Watchtower, Spastic Ink and Blotted Science, composes with actual twelve-tone rows organized by partition schemes. Michael Dekovich analyzes those schemes in a peer-reviewed chapter, "Death Metal Dodecaphony," in the collection Musical Waves (2020). This is the only bridge in this whole curriculum that is an instance rather than an analogy. A metal composer wrote dodecaphonic music, and a music theorist analyzed it as such.
Where it breaks, precisely. Dekovich's finding is that Jarzombek's rows are realized on a distorted guitar with metal's rhythmic and timbral norms intact. The serial organization governs pitch. Rhythm, form, and timbre stay generically metal. That is the opposite of Babbitt's totally organized ideal, where the array determines when each instrument plays and how many notes it gets. So the correct claim is narrow. Twelve-tone technique has been used in metal to generate pitch material, and only pitch material.
The second break, which matters more to you. In rock and metal a riff's identity is carried by rhythm, attack, and timbre far more than by pitch order. Schoenberg's rule governs "the order of new pitch-class entries, not every sounding event," which means immediate repetitions, octave doublings and sustained notes are all legal. That permission is exactly what makes a row usable over a palm-muted eighth-note grid. It is also why a listener will not hear the row. Nobody hears retrograde inversions. The source course says this plainly about Bach as well. The method is for you, at the desk, not for the audience.
To verify. The dossier does not name which Jarzombek pieces Dekovich analyzes. Get the chapter and identify the specific tracks before teaching from them. Do not assert a track title from memory.
At the piano
Write your row on paper first, then take it to the keyboard. Play it as a single line, right hand alone, four octaves apart across the instrument so you hear register as a free variable. Then play it again inside one octave. Same row, different piece.
Now the harmonic reading. Split the row into four trichords, notes 1 to 3, 4 to 6, 7 to 9, 10 to 12, and sound each as a chord in the left hand. Four chords. They will resemble each other, because they are drawn from the same intervallic source. That family resemblance is the reason to use a row at all.
Then the contrapuntal reading. Left hand plays P-0 slowly in whole notes. Right hand plays I-5 at twice the speed. You now have two voices from one row, which is how a two-guitar band gets its interlock.
For your left hand specifically, keep the row in half notes and nothing faster for the first week. The point is hearing the succession, not building dexterity, and you already know your left hand will sabotage anything harder.
Exercises
1. Build a row that is yours
Do. Write all twelve pitch classes in an order that interests you. Avoid scale segments and triad outlines unless you want them, the way Berg wanted them. Write out the interval succession underneath in words (ascending minor second, descending minor third, and so on). Play the row. Sing it.
Done when: You can sing the whole row from memory, unaccompanied, in tune, and name every interval in it without looking at the page.
2. Derive the four forms and the matrix
Do. Build I-0 by reversing the direction of every interval from the same first note. Build R-0 by reading P-0 backwards. Build RI-0 by reading I-0 backwards. Then fill the 12x12 matrix: P-0 across the top, I-0 down the left column, each subsequent row a transposition of P beginning on the pitch class in the left column. Print it and put it on the music stand.
Done when: You can point to any of the 48 forms in the grid within five seconds, and you have played all four basic forms at the keyboard.
3. Derive a riff family
Do. Take notes 1 to 4 of P-0 as a four-note riff. Give it a rhythm you actually like, in whatever meter you are working in, and voice it low, in the register a seven-string guitar or your left hand would occupy. Now write the same rhythm on notes 1 to 4 of I-0, then of R-0, then of RI-0. You have four riffs. Record all four into Logic at the same tempo, one bar each.
Done when: You have four riffs on one audio track that are recognizably related and are not transpositions of each other, and you can say out loud which form generated each.
4. Distribute one row between two voices
Do. Assign notes 1 to 3 to voice A, 4 to 6 to voice B, 7 to 9 back to voice A, 10 to 12 back to voice B. In Logic, give voice A a low guitar sound and voice B a clean one an octave up. Write rhythms that make the handoff audible.
Done when: A listener can tell you where the material passes from one voice to the other, without seeing the score.
5. The honesty test
Do. Play a friend two versions of your riff family. One follows the row strictly. One breaks it in three places where your ear preferred a different note. Ask which sounds more organized.
Done when: You have written down their answer and your own reaction to it. There is no correct result. The point is to learn what the method is actually buying you.
Compose
Write a 32-bar instrumental piece for guitar, bass, and drums, or for piano alone, in which every pitch comes from one row and its 48 forms. Constraints: one row, no more than four row forms total, a fixed tempo, and a rhythmic idiom you already write in. The one technique that must be audible is the family resemblance between riffs. Register, rhythm and dynamics are entirely free, and you should exploit that freedom hard, because it is the only place the piece will get its character.
When your ear overrules the row, keep the note your ear wants and mark the spot in the score. Stravinsky did this constantly, and Joseph Straus documented it in Stravinsky's Late Music. Those marks are your material for L30.
Checkpoint
- Row sung from memory, intervals named, matrix built and printed.
- Four riffs derived from four row forms, recorded, each one identified by its form.
- One distributed passage where the handoff between two voices is audible.
- The 32-bar piece exists as an audio file and as notation in Sibelius.
- You can state, in one sentence, what twelve-tone technique is documented to do in metal and what it is not documented to do.
- You can say out loud where your ear overruled the system, and you kept those notes.
Read
- Source course, Lesson 18, complete. The row, the four operations, the 48 forms, the matrix, and the four deployment strategies (melodic, harmonic, contrapuntal, distributional). This is the spine of the lesson. /library/garnett-course.pdf
- Dekovich, "Death Metal Dodecaphony" (2020), in Musical Waves. The only peer-reviewed analysis of literal twelve-tone composition in metal. Read it for the partition schemes and for how a theorist handles a distorted guitar as a serial medium.
- Dekovich, Formal Dialectic in Heavy Metal Music (2022), chapter 6, for the corpus context and the formal vocabulary you will need in Module 7. The full dissertation is at https://scholarsbank.uoregon.edu/server/api/core/bitstreams/d90dde9b-8445-4f80-b0c4-ab8a8f63ad51/content
- Forte, The Structure of Atonal Music (Yale, 1973), the set-class catalogue. You do not need to read it cover to cover. Learn to look up a set class, because L28 uses it.
- Babbitt, Words About Music, ed. Dembski and Straus (Wisconsin, 1987), for Babbitt in his own voice before L28 asks you to work with his hexachords.