User:BudjarnLambeth/Over the Hedge
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
| ← 3746578afdo | 3746579afdo | 3746580afdo → |
Mode 3,746,579 of the harmonic series, also known as 3,746,579 afdo or the Over the Hedge scale [idiosyncratic term], is a 3,746,579-tone octave-repeating subset of the harmonic series.
It is so named because if "hedge" is read not as a word, but as a base 26 number (where Z=0, A=1, B=2...), then converted into base 10, it would become 3,746,579.
Thus, since all intervals of 3,746,579 afdo are something-over-3,746,579, they are all "over the hedge".
The prime factorisation of 3,746,579 is actually 17 x 73 x 3019. This makes the Over the Hedge scale surprisingly interesting from a primodality perspective, because it contains a very unique set of intervals: millions of available intervals but with no Over-2, -3, -5, -7, -11 or even -13 intervals to be found anywhere.
Of course, the sheer number of notes does make the Over the Hedge scale impractical to explore in practice, at least without some way to eliminate most of the intervals and focus on a chosen few (something like a few-hundred-note neji perhaps).
1241afdo would make much more sense for practical use, being 17 x 73.
Or perhaps something like 2431afdo, which is 11 x 13 x 17.
Still, if you're daring and crazy enough to venture over the hedge, well, no one can stop you. 3 million intervals are waiting for you.