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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.

2
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0answers
26 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?
2
votes
1answer
78 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 ...
0
votes
2answers
139 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?
5
votes
1answer
34 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 ...
0
votes
1answer
161 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 ...
4
votes
4answers
691 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 ...
1
vote
1answer
199 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 ...
6
votes
1answer
430 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 ...
9
votes
1answer
297 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 ...
6
votes
2answers
444 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, ...
10
votes
2answers
349 views

Are the discrete hexachords of a tone row always either the same set class or z-related?

In a traditional 12-note tone row, it seems to me that the first six notes will always either be in the same set class as the last six notes, or will be z-related, but I'm having trouble confirming ...
9
votes
1answer
302 views

How was the ordering of Allen Forte's list of prime forms determined?

I'm familiar with how "prime forms" are determined from a pitch class set using the Forte (or Rahn) systems. A good list is at http://en.wikipedia.org/wiki/Forte_number However I am puzzled by how ...