Mavila: Difference between revisions

Line 16:

| Odd limit 2 = (5-limit) 9 | Mistuning 2 = 36.9 | Complexity 2 = 16

}}

'''Mavila''' is a [[regular temperament|temperament]] where the major chroma, [[135/128]], is [[tempering out|tempered out]]. Like [[meantone]], mavila is based on the [[chain of fifths]], but as a result of tempering out 135/128 rather than [[81/80]], the fifths are supposedly very flat ({{nowrap|~{{dash|670, 680}}}}{{c}} or so), flatter than even that of [[7edo]] (4\7). Consequently, stacking 7 of these fifths gives you an [[2L 5s|antidiatonic]] [[mos scale]], where in a certain sense, major and minor intervals get reversed. For example, stacking four fifths and octave-reducing now gets you a [[6/5]] ''minor'' third, whereas stacking three fourths and octave-reducing now gets you a [[5/4]] ''major'' third. Note that since we have a heptatonic scale, terms like ''fifths'', ''thirds'', etc. make perfect sense and really are the fifth, third, etc. steps in the antidiatonic scale.

Line 26:

Line 25:

See [[Mavila family #Mavila]] for more technical data.

As an exotemperament, mavila represents [[7L 2s]] and [[2L 5s]], and more generally [[Ploidacot/Monocot|monocot]] (alongside temperaments like [[meantone]]) and [[Ploidacot/Alpha-triseph|alpha-triseph]].

== Notation ==

@@ Line 16: / Line 16: @@
 | Odd limit 2 = (5-limit) 9 | Mistuning 2 = 36.9 | Complexity 2 = 16
 }}
 '''Mavila''' is a [[regular temperament|temperament]] where the major chroma, [[135/128]], is [[tempering out|tempered out]]. Like [[meantone]], mavila is based on the [[chain of fifths]], but as a result of tempering out 135/128 rather than [[81/80]], the fifths are supposedly very flat ({{nowrap|~{{dash|670, 680}}}}{{c}} or so), flatter than even that of [[7edo]] (4\7). Consequently, stacking 7 of these fifths gives you an [[2L 5s|antidiatonic]] [[mos scale]], where in a certain sense, major and minor intervals get reversed. For example, stacking four fifths and octave-reducing now gets you a [[6/5]] ''minor'' third, whereas stacking three fourths and octave-reducing now gets you a [[5/4]] ''major'' third. Note that since we have a heptatonic scale, terms like ''fifths'', ''thirds'', etc. make perfect sense and really are the fifth, third, etc. steps in the antidiatonic scale.
@@ Line 26: / Line 25: @@
 See [[Mavila family #Mavila]] for more technical data.
-As an exotemperament, mavila represents [[7L 2s]] and [[2L 5s]], and more generally [[Ploidacot/Monocot|monocot]] (alongside temperaments like [[meantone]]) and [[Ploidacot/Alpha-triseph|alpha-triseph]].
 == Notation ==