A
Instead of using numbers to describe the . . . marks on [an English]
ruler, let's call the shortest lengths "a," the next longest "b," then "c,"
and so on. The pattern then becomes . . . "Abacada-Dabacaba!" This
word sounds very much like the magician's phrase "abracadabra," a
very apt resemblance given the seemingly magical properties of this pattern.
To understand the pattern a little better and see how to continue
it, let's see how this pattern grows. Start with an "a." This is the first
step, the "tree trunk" if you like:
1. a
To grow the pattern, add the next letter in the alphabet and then repeat
everything that has gone before (which is just the letter "a" in this
case.) The next step, then, is "aba," which is like a trunk ("b") with two
branches ("a").
. aba
Continue by adding the next letter, "c," and repeating the "aba."
. abacaba
The fourth step adds the letter "d" and repeats the pattern: abacabada
bacaba! The next few steps are shown:
4. abacabadabacaba
. abacabadabacabaeabacabadabacaba
. abacabadabacabaeabacabadabacabafabacabadabacabaeabacabadabacaba
It's fun to see how much you can say aloud. How long would it take to
say the word all the way to "z"?7
Facts: While abracadabra is historically a "shrinking word" (see the entry for
abracadabra), we have seen in the above quotation that Abacaba-Dabacaba is a
growing word.
In music, the alternating pattern displayed in the letters of abacaba
is called a "sonata-rondo" -- "'A' stands for the refrain, and the remaining
letters, for couplets of differing material."8 This pattern is also called "chiastic,"
named after the X-shaped Greek letter chi, as its form is "symmetrically
organized around a central axis."9
7 "Abacada-Dabacaba!" (2005)
8 William Earl Caplin, Classical Form (1998)
9 Calvin R Stapert, My Only Comfort (2000)