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Equal Temperament, Alternate Tunings, and Microtonality

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The main advantage of equal temperament is that it is key-neutral. The pitch ratio between any two notes for a type of interval are consistent for all possible keys based on the 12-tone scale. These intervals will deviate slightly from their "ideal" (most harmonic) ''pure tuning'' intervals found in a Just Intonation tuning system. When we deviate from the just or pure intervals, we call this a ''tempered'' interval. Various other temperaments exist, using different methodologies to determine how the intervals should be tempered and what their relative pitches are, as seen below.
<small>''This article is just a taste of the depth that all the math actually produces. See [http://en.wikipedia.org/wiki/Equal_temperament the Wikipedia page] for more info.''</small>
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