Dual-n: Difference between revisions
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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..." |
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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]] | ||
Revision as of 23:09, 26 October 2024
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.
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