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. This equates very different intervals with each other—[[6/5]] with [[7/6]], [[5/4]] with [[9/7]], and [[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 like any temperament that seems to involve "pretending", mint ~~is an [[exotemperament]] as it~~ is not far from the edge of what can be sensibly called a temperament at all.

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. This equates very different intervals with each other—[[6/5]] with [[7/6]], [[5/4]] with [[9/7]], and [[7/4]] with [[9/5]]. In a sense, what mint is all about is pretending that minor and major thirds and sixths are simultaneously 5-limit and 7-limit, and like any temperament that seems to involve "pretending", mint is not far from the edge of what can be sensibly called a temperament at all. In other words, it is an [[exotemperament]].

Temperaments discussed elsewhere include

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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. This equates very different intervals with each other—[[6/5]] with [[7/6]], [[5/4]] with [[9/7]], and [[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 like any temperament that seems to involve "pretending", mint ~~is an [[exotemperament]] as it~~ is not far from the edge of what can be sensibly called a temperament at all.		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. This equates very different intervals with each other—[[6/5]] with [[7/6]], [[5/4]] with [[9/7]], and [[7/4]] with [[9/5]]. In a sense, what mint is all about is pretending that minor and major thirds and sixths are simultaneously 5-limit and 7-limit, and like any temperament that seems to involve "pretending", mint is not far from the edge of what can be sensibly called a temperament at all. In other words, it is an [[exotemperament]].

	Temperaments discussed elsewhere include		Temperaments discussed elsewhere include