ALS: Difference between revisions
Cmloegcmluin (talk | contribs) note about >1 lengths |
Cmloegcmluin (talk | contribs) add formula for mathematician benefit |
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Note that because frequency is the inverse of length, if a frequency lower than the root pitch's frequency is asked for, the length will be greater than 1; at this point the physical analogy to a length of string breaks down somewhat, since it is not easy to imagine dynamically extending the length of a string to accommodate such pitches. However, it is not much of a stretch (pun intended) to tolerate lengths > 1, if the analogy is adapted to a switching from one string to another, and any string length imaginable is instantly available. | Note that because frequency is the inverse of length, if a frequency lower than the root pitch's frequency is asked for, the length will be greater than 1; at this point the physical analogy to a length of string breaks down somewhat, since it is not easy to imagine dynamically extending the length of a string to accommodate such pitches. However, it is not much of a stretch (pun intended) to tolerate lengths > 1, if the analogy is adapted to a switching from one string to another, and any string length imaginable is instantly available. | ||
The formula for length <span><math>k</math></span> of an ALSp is: | |||
<math> | |||
L(k) = 1 + k⋅p | |||
</math> | |||
{| class="wikitable" | {| class="wikitable" | ||