Mint temperaments: Difference between revisions

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	This is a collection of low complexity, high error temperaments tempering out the septimal quarter-tone, [[36/35]]. 36 is [[Wikipedia: Square triangular number\|both]] a [http://mathworld.wolfram.com/SquareNumber.html square] and a [[triangular number]], and this helps make 36/35 a septimal interval of considerable significance. ~~Tempering it out, however, equates very different intervals with each other—in particular,~~ [[6/5]] with [[7/6]], [[5/4]] with [[9/7]], [[7/4]] with [[9/5]]~~. In a sense~~, ~~what mint is all about is pretending that~~ minor and major thirds and sixths are 5~~-limit~~ and 7~~-limit~~ at the same time~~, and since mint involves a lot of "pretending", it is approaching the edge of what can be sensibly called a temperament at all. In other words, it is an [[exotemperament]]~~.		This is a collection of low complexity, high error [[regular temperament\|temperaments]] [[tempering out]] the septimal quarter-tone, [[36/35]]. 36 is [[Wikipedia: Square triangular number\|both]] a [http://mathworld.wolfram.com/SquareNumber.html square] and a [[triangular number]], and this helps make 36/35 a septimal interval of considerable significance. These temperaments equate [[6/5]] with [[7/6]], [[5/4]] with [[9/7]], and [[7/4]] with [[9/5]], so minor and major thirds and sixths are intervals of 5 and 7 at the same time.

	Temperaments discussed elsewhere include		Temperaments discussed elsewhere include