7L 2s: Difference between revisions

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'''7L 2s''', '''mavila''' (/ˈmɑːvɪlə/ or /ˈmævɪlə/ ''MA(H)-vil-ə''), or '''superdiatonic''' refers to the structure of octave-equivalent [[MOS]] scales with generators ranging from 4\7 (four degrees of [[7edo]] = 685.71¢) to 5\9 (five degrees of [[9edo]] = 666.67¢) and its associated harmonic framework. In the case of 9edo, L and s are the same size; in the case of 7edo, s becomes so small it disappears (and all that remains are the seven equal L's). Mavila was first discovered by Erv Wilson after studying the tuning of the "Timbila" music of the Chopi tribe in Mozambique. It is also closely related to the "pelog" scale in Indonesian and Balinese Gamelan music.

== Introduction ==

In mavila, the fifths are very flat (~675-680 cents or so). They are so flat that they are even flatter than 7-EDO. As a result, stacking 7 of these fifths gives you an "anti-diatonic" 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 *minor* third, whereas stacking three fourths and octave-reducing now gets you a *major* third. (Note that since we have a heptatonic scale, terms like "fifths," "thirds," etc make perfect sense and really are five, three, etc steps in the anti-diatonic scale.)

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 '''7L 2s''', '''mavila''' (/ˈmɑːvɪlə/ or /ˈmævɪlə/ ''MA(H)-vil-ə''), or '''superdiatonic''' refers to the structure of octave-equivalent [[MOS]] scales with generators ranging from 4\7 (four degrees of [[7edo]] = 685.71¢) to 5\9 (five degrees of [[9edo]] = 666.67¢) and its associated harmonic framework. In the case of 9edo, L and s are the same size; in the case of 7edo, s becomes so small it disappears (and all that remains are the seven equal L's). Mavila was first discovered by Erv Wilson after studying the tuning of the "Timbila" music of the Chopi tribe in Mozambique. It is also closely related to the "pelog" scale in Indonesian and Balinese Gamelan music.
+== Introduction ==
 In mavila, the fifths are very flat (~675-680 cents or so). They are so flat that they are even flatter than 7-EDO. As a result, stacking 7 of these fifths gives you an "anti-diatonic" 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 *minor* third, whereas stacking three fourths and octave-reducing now gets you a *major* third. (Note that since we have a heptatonic scale, terms like "fifths," "thirds," etc make perfect sense and really are five, three, etc steps in the anti-diatonic scale.)