Dicot family: Difference between revisions

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The '''dicot family''' of temperaments tempers out [[25/24]], the classic chromatic semitone. The [[generator]] is a classic third (major and minor mean the same thing), and two such thirds give a fifth. In fact, <math>\left(\frac{5}{4}\right)^2 = \left(\frac{3}{2}\right)\left(\frac{25}{24}\right)</math>.

As a result of tempering out 25/24, [[5/4]] and [[6/5]] are equated, as are [[8/5]] and [[5/3]], which eliminates the distinction between "minor" and "major" as most ~~people~~ know it. In a sense, what dicot is all about is using neutral thirds and sixths and pretending that these are 5-limit, and like any temperament which seems to involve a lot of "pretending", dicot is close to the edge of what can be sensibly called a temperament at all. In other words, it is an [[exotemperament]].

As a result of tempering out 25/24, [[5/4]] and [[6/5]] are equated, as are [[8/5]] and [[5/3]], which eliminates the distinction between "minor" and "major" as most know it. In a sense, what dicot is all about is using neutral thirds and sixths and pretending that these are 5-limit, and like any temperament which seems to involve a lot of "pretending", dicot is close to the edge of what can be sensibly called a temperament at all. In other words, it is an [[exotemperament]].

== Dicot ==

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 The '''dicot family''' of temperaments tempers out [[25/24]], the classic chromatic semitone. The [[generator]] is a classic third (major and minor mean the same thing), and two such thirds give a fifth. In fact, <math>\left(\frac{5}{4}\right)^2 = \left(\frac{3}{2}\right)\left(\frac{25}{24}\right)</math>.
-As a result of tempering out 25/24, [[5/4]] and [[6/5]] are equated, as are [[8/5]] and [[5/3]], which eliminates the distinction between "minor" and "major" as most people know it. In a sense, what dicot is all about is using neutral thirds and sixths and pretending that these are 5-limit, and like any temperament which seems to involve a lot of "pretending", dicot is close to the edge of what can be sensibly called a temperament at all. In other words, it is an [[exotemperament]].
+As a result of tempering out 25/24, [[5/4]] and [[6/5]] are equated, as are [[8/5]] and [[5/3]], which eliminates the distinction between "minor" and "major" as most know it. In a sense, what dicot is all about is using neutral thirds and sixths and pretending that these are 5-limit, and like any temperament which seems to involve a lot of "pretending", dicot is close to the edge of what can be sensibly called a temperament at all. In other words, it is an [[exotemperament]].
 == Dicot ==