About Wild Exponential Slow:
This sequence, first described by Henry Bottomley, is similar in design to Ternary Exponential Slow, but with a much faster rate of growth. This is how it begins: 0, 1, 2, 1, 2, 3, 2, 3, 4, 1, 2, 3, 2, 3, 4, 3, 4, 5, 2, 3, 4, 3, 4, 5, 4, 5, 6, 1, 2, 3, 2, 3, 4, 3, 4, 5, 2, 3, 4, 3, 4, 5, 4, 5, 6, 3, 4...
The nth term of this sequence is equal to the sum of the digits in the ternary representation of n. For instance, for the 8th term, n = 8. It's ternary representation is 22, so the term is 2 + 2 = 4. (For the first term in the sequence, n=0.)
Like the Exponential Slow family, Wild Exponential Slow is also a self-similar integer sequence; it contains infinitely many copies of itself and is invariant under scale. If you create a new integer sequence by using every third term of this one, you end up with exactly the same sequence!
Because of this self-similarity, it "slows down" exponentially as it goes on. It takes longer and longer for "new" numbers to appear as terms. Correspondingly, it takes longer and longer to move forward in the audio file you have selected.
To switch the musical structure to this mode, click on the Change button.
Reference: N. J. A. Sloane, editor (2002), The On-Line Encyclopedia of Integer Sequences, published electronically at http://www.research.att.com/~njas/sequences. Sequence A0053735.