Interval classes and interval-class vectors! With pgs. 177 - 184 in your text. 0:00 Welcome 0:55 From Pitch-Class Intervals to Interval Classes 4:17 Interval-class Vectors
Hey! You should definitely make a part 4 that has a table of different triads and scales and abstract music and show their IC vectors! I might do that...
👍Thank you so much for making those videos. That helps me a lot. 一口气看完三集，这也算是我第一次学习音级集合了😏。 Your videos provide me a very solid idea of what set theory is, and how it works. 看完的感受就是音级集合法真的很有意思，and I'm looking forward to dive into this theory much more, cause they are so attractive to me.
Your videos have been super helpful in helping me understand this theory. There's still a few things I'm confused over though and since my own music tutor struggles with this theory I was wondering if you could help? Using Forte's lingo, how would I find a K or a Kh relation? Am I right in thinking that the PCS 3-2 (0,1,3) is in a K relation with 5-11 through its complement 7-11 (0,1,3,4,5,6,8)?
Hey, you asked a big question for me to answer in a comment. Here is what I have - I feel pretty good about this, but it is me parsing through Forte's Structure of Atonal Music (the first few pages of 2.1 and 2.2), and it is possible I didn't follow his logical flawlessly. (If an adventurous stranger can correct my flaws, please do!) I would direct you to Forte to get the words from the master himself. Forte has a list of Kh relations in one of the appendices of this text. That said: The set complex K usually contains many sets. You are right that 3-2 is part of K(5-11, 7-11). Not just through its complement - (0,1,3) can be found in 5-11 (0,2,3,4,7) by inverting (0,2,3). Paraphrasing Forte's Structure of Atonal Music: The set S and its complement is a member of the set complex of T if S can contain or can be contained in T, or if S can contain or be contained in the complement of T. Kh is similar, but replace the last "if" in the sentence with "and." To find this, you'll want to write out your set and its complement, and then look to see if your other set can be contained in there. Of course, inversions and transpositions count, so you'll have to be careful. Best of luck, hope this was helpful.
Hey! You should definitely make a part 4 that has a table of different triads and scales and abstract music and show their IC vectors! I might do that...
Thank you for helping me study for my Post-Tonal theory exam!
thank you. this was one of the clearest intros to set theory i've seen.l good pacing too.
This was really great. Thank you!
👍Thank you so much for making those videos. That helps me a lot. 一口气看完三集，这也算是我第一次学习音级集合了😏。 Your videos provide me a very solid idea of what set theory is, and how it works. 看完的感受就是音级集合法真的很有意思，and I'm looking forward to dive into this theory much more, cause they are so attractive to me.
Seven Interval Classes: 1, 2, 3, 4, 5, 6, 7
- IC 1 = PCI 1, 13 = m2, M8
- IC 2 = PCI 2, 12 = M2, m8
- IC 3 = PCI 3, 11 = m3, M7
- IC 4 = PCI 4, 10 = M3, m7
- IC 5 = PCI 5, 9 = P4, P6
- IC 6 = PCI 6, 8 = 3T, 4T
- IC 7 = PCI 7 = P5
That Is In The 14 Note Chromatic Scale
Thanks bro
Your videos have been super helpful in helping me understand this theory. There's still a few things I'm confused over though and since my own music tutor struggles with this theory I was wondering if you could help? Using Forte's lingo, how would I find a K or a Kh relation? Am I right in thinking that the PCS 3-2 (0,1,3) is in a K relation with 5-11 through its complement 7-11 (0,1,3,4,5,6,8)?
Hey, you asked a big question for me to answer in a comment. Here is what I have - I feel pretty good about this, but it is me parsing through Forte's Structure of Atonal Music (the first few pages of 2.1 and 2.2), and it is possible I didn't follow his logical flawlessly. (If an adventurous stranger can correct my flaws, please do!) I would direct you to Forte to get the words from the master himself. Forte has a list of Kh relations in one of the appendices of this text. That said:
The set complex K usually contains many sets. You are right that 3-2 is part of K(5-11, 7-11). Not just through its complement - (0,1,3) can be found in 5-11 (0,2,3,4,7) by inverting (0,2,3).
Paraphrasing Forte's Structure of Atonal Music: The set S and its complement is a member of the set complex of T if S can contain or can be contained in T, or if S can contain or be contained in the complement of T. Kh is similar, but replace the last "if" in the sentence with "and."
To find this, you'll want to write out your set and its complement, and then look to see if your other set can be contained in there. Of course, inversions and transpositions count, so you'll have to be careful. Best of luck, hope this was helpful.
hi..David.. at the end of this video you said review the chapter-9 from the textbook....what textbook are you referring to....
The textbook here is Materials & Techniques of Post Tonal Music by Kostka & Payne.
2:48 *MINOR second
And on IC 2 you said major 7 instead of minor 7