# Questions tagged [set-theory]

For questions related to Allen Forte's theory of atonal music, including but not limited to pitch-class sets, interval vectors, prime forms, etc. Questions should also use the theory tag.

14 questions
201 views

### Is there a way to determine a set's prime form when given its interval vector?

Typically, we use a pitch-class set's prime form to determine the interval vector. But is there an algorithm that lets us go the other way? In other words, given a set's interval vector, can we ...
60 views

### What are ways to use the palindromic property of a palindromic scale?

A palindromic scale, as I've seen it described on a number of music theory websites, is defined as one whose sequence of intervals is the same when ascending and descending. For instance: D Dorian (D ...
34 views

### What's the difference between the Rahn algorithm and the Forte algorithm? [duplicate]

What is the difference between the two algorithms (Rahn and Forte). Would there be a reason to use the Rahn algorithm instead of the Forte algorithm or vice versa?
167 views

### How do I calculate the Forte number from the Prime form?

How do I calculate the Forte number from the prime form of a set? For Example: I have the prime form (0,1,5,8)... How would I determine the Forte number from this set? Or would I use a different form ...
147 views

### How should I learn Set Theory [closed]

I am having trouble full understanding set theory, I have read many different articles, but I still don't understand most of it. Is their a good way to thoroughly learn set theory? Maybe some books?
42 views

### Inversionally equivalent pc sets relation with transposition

So, I'm reading Allen Forte's Structure of Atonal Music and in the sub-chapter 1.4 Inversionally equivalent pc sets he affirms: It is important to observe that whereas transposition does not imply ...
232 views

### Pitch Class Set Trichords

There are 19 trichords (12 prime forms and 7 inversions), and 110 possible three note combinations of notes from any note (11*10=110). Because a trichord has three notes, it has three inversions (in ...
842 views

### Pitch-class set theory

What's the purpose of pitch-class set theory? How would you directly relate it to a CMAJ (C, E, G) chord? I know pitch-class set theory and the basis of it. Does it give you more options of sound or ...
214 views

### Schoenberg's Hexachord decoded

I had a question regarding the cryptogram of Schoenberg's famous hexachord. The Schoenberg hexachord has a pitch class set of (012569) and a vector of <3,1,3,4,3,1>. In other words, the notes are ...
451 views

### Inversions of Pitch Class set prime numbers

The questions are about Pitch Class sets from this website: http://solomonsmusic.net/pcsets.htm Considering this page, i am still taking a long time to check the pitch class set inversions if they ...
344 views

### Rahn Atonal Prime Form Confusion

A review via the mark I eyeball of the prime form tables in "Basic Atonal Theory" (Rahn, 1980) versus modern software calculations of the prime form yields some differences; are these errors in ...
481 views

### Error computing prime form of a pitch class set

I'm working on coming up with prime forms. I've been using this calculator online to check my work. My problem is that the prime form I compute for a certain PCS doesn't agree with the calculator, ...