Marvel family: Difference between revisions

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[[de:Marvel]]

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.

=Marvel=

The head of the marvel family is marvel, which tempers out [[225/224|225/224~~]], the [[septimal_kleisma|septimal kleisma]] or [[marvel_comma|marvel comma~~]]. 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]].

Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to [[Kleismic_family|catakleismic temperament]]. Another temperament which does little damage to tuning accuracy is [[Pythagorean_family|compton temperament]], for which [[240edo|240edo]] may be used.

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 [[de:Marvel]]
+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.
 =Marvel=
-The head of the marvel family is marvel, which tempers out [[225/224|225/224]], the [[septimal_kleisma|septimal kleisma]] or [[marvel_comma|marvel comma]]. 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]].
 Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to [[Kleismic_family|catakleismic temperament]]. Another temperament which does little damage to tuning accuracy is [[Pythagorean_family|compton temperament]], for which [[240edo|240edo]] may be used.