Exotemperament
An exotemperament or macrotemperament is a very inaccurate regular temperament, or in other words, one which tempers out an interval that is very large and low-complexity or otherwise equates wildly different intervals.
Notable examples of exotemperaments are father (tempers out 16/15, ≈111.7 ¢), trienstonian (tempers out 28/27, ≈63.0 ¢), and dicot (tempers out 25/24, ≈70.7 ¢). Depending on both who you ask and the specific tunings, timbres and chords used, others such as mint (tempers out (6/5)/(7/6) = 36/35, ≈48.8 ¢) and semaphore (tempers out (7/6)/(8/7) = 49/48, ≈35.7 ¢) could also be considered exotemperaments within their respective limits or subgroups.
To get one's head around music in exotemperaments, one needs to be less critical about what they hear and turn their attention to rough melodic and impressionistic categories instead.
Another useful property of exotemperaments is their role as "archetypes" for different ways of organizing, structuring, or thinking about JI and temperaments alike, that is, as mappings. In this capacity, they are often useful as characterizing the musical logics underlying various JI scales, or more rarely, as the logics shared between temperaments with similar structure but different tuning, though they have also been explored by many people in their tempered versions out of curiosity. For example, dicot is the literal realization of the general tertian triadic structure of a fifth being constructed from two thirds, and father is the literal realization of the treatment of suspended harmony as tertian.
In the most extreme case, an exotemperament may temper out a prime harmonic altogether, resulting in the total deletion of a prime from the system. While they mathematically fit the definition of a temperament, they are identical to JI subgroup restrictions; in other words, they are degenerate cases, not temperaments at all in the practical sense.
The opposite of an exotemperament is a microtemperament.