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The general mathematical definition of "function" is something that for any given input always returns the same output. A [[mapping]] in RTT thereby qualifies as a function; it always maps any given interval to only a single other interval. In fact, this is essentially the meaning of the word "regular" in the term "regular temperament." And so, the '''image''' for an interval under a (regular) temperament is that one interval that it's mapped to. | The general mathematical definition of "function" is something that for any given input always returns the same output. A [[mapping]] in RTT thereby qualifies as a function; it always maps any given interval to only a single other interval. In fact, this is essentially the meaning of the word "regular" in the term "regular temperament." And so, the '''image''' for an interval under a (regular) temperament is that one interval that it's mapped to. | ||
We can also speak of the "image of a temperament", in general. This means | We can also speak of the "image of a temperament", in general. This means the set of all intervals that can be mapped to. | ||
== Terminology == | == Terminology == | ||