Dual-n - Revision history

BudjarnLambeth: /* Scales with dual-n interpretations */

2024-12-21T06:07:13Z

Scales with dual-n interpretations

← Older revision		Revision as of 06:07, 21 December 2024
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	== Scales with dual-n interpretations ==		== Scales with dual-n interpretations ==
	* Many large [[ed4]]s (dual-2)		* Many large [[ed4]]s (''dual-2'')
	* Many medium or large [[The Riemann zeta function and tuning#Local anti-zeta edos\|local anti-zeta edos]]{{idiosyncratic}}		* Many medium or large [[The Riemann zeta function and tuning#Local anti-zeta edos\|local anti-zeta edos]]{{idiosyncratic}}
	* Many of the [[sooty fox scale]]s{{idiosyncratic}}		* Many of the [[sooty fox scale]]s{{idiosyncratic}}

BudjarnLambeth: Expanded

2024-12-21T06:06:56Z

Expanded

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 However it is also possible to do this for any other basis element. You could have a dual-2 tuning, dual-5 tuning, dual-7 tuning, etc.
-One situation in which it might make sense to use a dual-''n'' tuning is for use with an [[equal-step tuning]] that’s good on all primes except one, but you don’t want to leave that prime out. You could use a dual-''n'' tuning where ''n'' is that prime in order to make the equal-step tuning workable.
+== Use cases ==
 [[Category:Subgroup]]

BudjarnLambeth at 03:37, 8 November 2024

2024-11-08T03:37:48Z

← Older revision		Revision as of 03:37, 8 November 2024
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	One situation in which it might make sense to use a dual-''n'' tuning is for use with an [[equal-step tuning]] that’s good on all primes except one, but you don’t want to leave that prime out. You could use a dual-''n'' tuning where ''n'' is that prime in order to make the equal-step tuning workable.		One situation in which it might make sense to use a dual-''n'' tuning is for use with an [[equal-step tuning]] that’s good on all primes except one, but you don’t want to leave that prime out. You could use a dual-''n'' tuning where ''n'' is that prime in order to make the equal-step tuning workable.

	{{~~stub~~}}		Many of the [[sooty fox scale]]s themselves to dual-n interpretations.
			{{todo\|expand}}
	[[Category:Subgroup]]		[[Category:Subgroup]]

ArrowHead294 at 23:09, 26 October 2024

2024-10-26T23:09:08Z

← Older revision		Revision as of 23:09, 26 October 2024
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	A '''dual-n tuning''' is a tuning where two separate mappings are provided for a [[basis element]], turning the one basis element into two basis elements.		{{DISPLAYTITLE:Dual-''n''}}
			A '''dual-''n'' tuning''' is a tuning where two separate mappings are provided for a [[basis element]], turning the one basis element into two basis elements.

	The most common type of dual-n tuning is [[dual-fifth tuning]], aka dual-3 tuning, where the subgroup 2.3 is replaced by 2.3+.3-		The most common type of dual-''n'' tuning is [[dual-fifth tuning]], aka dual-3 tuning, where the subgroup 2.3 is replaced by 2.3+.3−.

	However it is also possible to do this for any other basis element. You could have a dual-2 tuning, dual-5 tuning, dual-7 tuning, etc.		However it is also possible to do this for any other basis element. You could have a dual-2 tuning, dual-5 tuning, dual-7 tuning, etc.

	One situation in which it might make sense to use a dual-n tuning is for use with an [[equal-step tuning]] that’s good on all primes except one, but you don’t want to leave that prime out. You could use a dual-n tuning where n is that prime in order to make the equal-step tuning workable.		One situation in which it might make sense to use a dual-''n'' tuning is for use with an [[equal-step tuning]] that’s good on all primes except one, but you don’t want to leave that prime out. You could use a dual-''n'' tuning where ''n'' is that prime in order to make the equal-step tuning workable.

	{{stub}}		{{stub}}
	[[Category:Subgroup]]		[[Category:Subgroup]]

BudjarnLambeth: Created page with "A '''dual-n tuning''' is a tuning where two separate mappings are provided for a basis element, turning the one basis element into two basis elements. The most common typ..."

2024-10-26T21:08:24Z

Created page with "A '''dual-n tuning''' is a tuning where two separate mappings are provided for a basis element, turning the one basis element into two basis elements. The most common typ..."

New page

A '''dual-n tuning''' is a tuning where two separate mappings are provided for a [[basis element]], turning the one basis element into two basis elements.

The most common type of dual-n tuning is [[dual-fifth tuning]], aka dual-3 tuning, where the subgroup 2.3 is replaced by 2.3+.3-

However it is also possible to do this for any other basis element. You could have a dual-2 tuning, dual-5 tuning, dual-7 tuning, etc.

One situation in which it might make sense to use a dual-n tuning is for use with an [[equal-step tuning]] that’s good on all primes except one, but you don’t want to leave that prime out. You could use a dual-n tuning where n is that prime in order to make the equal-step tuning workable.

{{stub}}
[[Category:Subgroup]]