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Whichever begins with the smaller interval is then regarded as the Best Normal Order. In some cases, a set's Normal Order and that of its inversion are identical or the same when properly transposed (transpositionally equivalent). Such a set is said to be inversionally symmetrical.
- What is normal form set theory?
- How do you do normal order in music theory?
- How do you invert set theory?
What is normal form set theory?
Normal form represents the notes of a pitch-class set (as they occur in the music) in their most compact form. ... In the event that two orderings have the same interval span from lowest to highest note, choose the set that has the smaller interval between the first and penultimate notes.
How do you do normal order in music theory?
Normal order is the smallest possible arrangement of pitch classes, in ascending order. To transpose a set by Tn, add n to each integer of the set. To invert a set by In, first, invert the set (take each integer's complement mod 12), then transpose by n. The clock face may help you perform any of these tasks.
How do you invert set theory?
In set theory, inversion means the same number of half steps in the opposite direction. The inversion of a pitch class is the pitch class that is the same number of half steps away from C, but in the opposite direction. If you get a number less than 0, add 12 to get a valid pitch class number.
