Dicot family: Difference between revisions

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The [[5-limit]] parent [[comma]] for the '''dicot family''' is [[25/24]], the classical chromatic semitone. ~~Its [[monzo]] is {{monzo| -3 -1 2 }}, and flipping that yields {{multival| 2 1 -3 }} for the [[wedgie]]. This tells us the~~ [[generator]] is a classical third (major and minor mean the same thing), and ~~that~~ two such thirds give a fifth. In fact, {{nowrap|(5/4)<sup>2</sup> {{=}} (3/2)(25/24)}}.

The [[5-limit]] parent [[comma]] for the '''dicot family''' is [[25/24]], the classical chromatic semitone. The [[generator]] is a classical third (major and minor mean the same thing), and two such thirds give a fifth. In fact, {{nowrap|(5/4)<sup>2</sup> {{=}} (3/2)(25/24)}}.

Possible tunings for dicot are [[7edo]], [[10edo]], [[17edo]], [[24edo]] using the val {{val| 24 38 55 }} (24c), and [[31edo]] using the val {{val| 31 49 71 }} (31c). In a sense, what dicot is all about is using neutral thirds and pretending that this is 5-limit, and like any temperament which seems to involve "pretending", dicot is close to the edge of what can sensibly be called a temperament at all. In other words, it is an [[exotemperament]].

Revision as of 15:31, 22 November 2024 view source ArrowHead294 (talk \| contribs) 14,512 edits mNo edit summary ← Older edit		Revision as of 18:52, 21 December 2024 view source Sintel (talk \| contribs) autopatrolled, emailconfirmed 1,547 edits Don't mention wedgies in lede Newer edit →
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	The [[5-limit]] parent [[comma]] for the '''dicot family''' is [[25/24]], the classical chromatic semitone. ~~Its [[monzo]] is {{monzo\| -3 -1 2 }}, and flipping that yields {{multival\| 2 1 -3 }} for the [[wedgie]]. This tells us the~~ [[generator]] is a classical third (major and minor mean the same thing), and ~~that~~ two such thirds give a fifth. In fact, {{nowrap\|(5/4)<sup>2</sup> {{=}} (3/2)(25/24)}}.		The [[5-limit]] parent [[comma]] for the '''dicot family''' is [[25/24]], the classical chromatic semitone. The [[generator]] is a classical third (major and minor mean the same thing), and two such thirds give a fifth. In fact, {{nowrap\|(5/4)<sup>2</sup> {{=}} (3/2)(25/24)}}.

	Possible tunings for dicot are [[7edo]], [[10edo]], [[17edo]], [[24edo]] using the val {{val\| 24 38 55 }} (24c), and [[31edo]] using the val {{val\| 31 49 71 }} (31c). In a sense, what dicot is all about is using neutral thirds and pretending that this is 5-limit, and like any temperament which seems to involve "pretending", dicot is close to the edge of what can sensibly be called a temperament at all. In other words, it is an [[exotemperament]].		Possible tunings for dicot are [[7edo]], [[10edo]], [[17edo]], [[24edo]] using the val {{val\| 24 38 55 }} (24c), and [[31edo]] using the val {{val\| 31 49 71 }} (31c). In a sense, what dicot is all about is using neutral thirds and pretending that this is 5-limit, and like any temperament which seems to involve "pretending", dicot is close to the edge of what can sensibly be called a temperament at all. In other words, it is an [[exotemperament]].