Major and minor triads: Difference between revisions

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* In [[22edo]], major is 436{{c}} and minor is 273{{c}}.

* If we pretend that [[16edo]]'s fifth generates a diatonic scale, this places major at 300{{c}} and minor at 375{{c}}, leading to the controversial "harmonic notation" of 16edo.

** A more conventional interpretation labels the 300{{c}} third as "minor" and 375{{c}} as major, which is more sensible in terms of interval size and sound, despite technically not following Pythagorean notation.

In terms of [[mediant (tonality)|~~mediant~~]]s, ~~minor~~ triads tend to range ~~between a mediant of 37% and 47%, and major triads tend to range between 53% and 63%~~, corresponding to simple [[5-limit]] or septimal intervals. More extreme than major and minor are [[Extraclassical tonality|tendo and arto]], corresponding to [[interseptimal]] and [[13-limit|tridecimal]] intervals, and ultimately suspended, corresponding to simple [[3-limit]] intervals; less extreme than major and minor are neutral triads.

In terms of [[mediant (tonality)|latitude]], these triads tend to range from ±5-25°, corresponding to simple [[5-limit|classical]] or [[7-limit|septimal]] intervals. More extreme than major and minor are [[Extraclassical tonality|tendo and arto]], corresponding to [[interseptimal]] and [[13-limit|tridecimal]] intervals, and ultimately suspended, corresponding to simple [[3-limit]] intervals; less extreme than major and minor are neutral triads.

== In just intonation ==

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 * In [[22edo]], major is 436{{c}} and minor is 273{{c}}.
 * If we pretend that [[16edo]]'s fifth generates a diatonic scale, this places major at 300{{c}} and minor at 375{{c}}, leading to the controversial "harmonic notation" of 16edo.
+** A more conventional interpretation labels the 300{{c}} third as "minor" and 375{{c}} as major, which is more sensible in terms of interval size and sound, despite technically not following Pythagorean notation.
-In terms of [[mediant (tonality)|mediant]]s, minor triads tend to range between a mediant of 37% and 47%, and major triads tend to range between 53% and 63%, corresponding to simple [[5-limit]] or septimal intervals. More extreme than major and minor are [[Extraclassical tonality|tendo and arto]], corresponding to [[interseptimal]] and [[13-limit|tridecimal]] intervals, and ultimately suspended, corresponding to simple [[3-limit]] intervals; less extreme than major and minor are neutral triads.
+In terms of [[mediant (tonality)|latitude]], these triads tend to range from ±5-25°, corresponding to simple [[5-limit|classical]] or [[7-limit|septimal]] intervals. More extreme than major and minor are [[Extraclassical tonality|tendo and arto]], corresponding to [[interseptimal]] and [[13-limit|tridecimal]] intervals, and ultimately suspended, corresponding to simple [[3-limit]] intervals; less extreme than major and minor are neutral triads.
 == In just intonation ==