Eigenmonzo: Difference between revisions

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-A [[regular temperament]] transforms a set of untempered intervals into a set of tempered intervals, which changes the size of all of these intervals except for a few exceptions; which of these intervals that are the exceptions and do not change depends on the choice of tuning (of the temperament's generators), and thus each of these is an unchanged interval, or '''eigenmonzo''', of the tuning.
+An '''eigenmonzo''' (also known as an '''unchanged interval''') is a (usually justly intoned) interval that remains unchanged when a specific tuning of a given temperament is applied to it.
+A [[regular temperament]] transforms untempered intervals into tempered intervals, which changes most of their sizes. Only a small set of exceptional intervals do not change in size. This set of unchanged intervals depends on the choice of tuning.
 A popular example of an eigenmonzo is the JI interval {{monzo|0 0 1}}, or 1:5, when it is mapped by [[quarter-comma meantone]]; because this temperament tuning's generator is defined as exactly one-quarter the size of the interval 1:5, it remains justly tuned.