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| Exercise 14-1. Complement relations. | ||||
Two sets a and b are considered (literal) complements if set b contains all the pcs of the aggregate not found in set a. The classes to which these two sets belong are further considered to be complementary classes, and any sets from such paired classes can be considered "class" or "non-literal" complements.
Sets from complementary classes have a particular relationship in their interval-class makeup: the difference in ic vector entries of complementary sets is equal to the difference in the sets' cardinalities (and to half that difference in the case of ic 6).
On a printout of this page or on a separate sheet of paper, find the complements of the following sets, whose ic vectors are given. Without looking at the table of set classes, figure out the ic vectors of these complements. Then, figuring out prime forms and using the table, find the Forte names of the classes to which the complements belong.
Click on the blank lines to reveal the correct answers. Pressing the Reload button will remove the answers.
| 1. | The C-major triad 001110 |  |
| 2. | [1,4,7,10] 004002 | |
| 3. | The black-note pentatonic scale 032140 | |
| 4. | [2,4,5,6,7,9] 343230 | |
| 5. | Schoenberg's name set: Eb C H Bb E G 313431 | |
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| Page last modified 10 July 2001 / GRT |
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