Marvel family: Difference between revisions
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The '''marvel family''' is the set of temperaments that temper out the [[7-limit]] comma [[225/224|225/224]] = {{monzo|-5 2 2 -1}}, the [[septimal_kleisma|septimal kleisma]] or [[marvel_comma|marvel comma]]. These temperaments hence equate 16/15 and 15/14, or equivalently they equate two 5/4's and one 14/9. The marvel comma is noteworthy in that it is tempered out by many common edos and rank-2 temperaments. | The '''marvel family''' is the set of temperaments that temper out the [[7-limit]] comma [[225/224|225/224]] = {{monzo|-5 2 2 -1}}, the [[septimal_kleisma|septimal kleisma]] or [[marvel_comma|marvel comma]]. These temperaments hence equate 16/15 and 15/14, or equivalently they equate two 5/4's and one 14/9. The marvel comma is noteworthy in that it is tempered out by many common edos and rank-2 temperaments. | ||
The marvel comma can also be viewed as a comma of the 2.9.25.7 subgroup. Hence it is tempered out by any subset edos of marvel-supporting edos that have this subgroup, such as [[11edo]] and [[17edo]] which are subsets of [[22edo]] and [[34edo]] which temper out the marvel comma. | |||
=Marvel= | =Marvel= | ||
The head of the marvel family is marvel, which tempers out [[225/224|225/224]]. Marvel has a [[Normal_lists|normal list basis]] of [2, 3, 5]; hence a [[Harmonic_Limit|5-limit]] scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by [[197edo|197edo]]. | The head of the marvel family is marvel, which tempers out [[225/224|225/224]]. Marvel has a [[Normal_lists|normal list basis]] of [2, 3, 5]; hence a [[Harmonic_Limit|5-limit]] scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by [[197edo|197edo]]. | ||