Mint temperaments: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
ArrowHead294 (talk | contribs) mNo edit summary |
||
Line 1: | Line 1: | ||
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 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]]. | ||
Temperaments discussed elsewhere include | Temperaments discussed elsewhere include |