Major and minor triads: Difference between revisions
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== In tempered scales == | == In tempered scales == | ||
In [[5L 2s|diatonic (5L 2s) scales]], "major third" and "minor third" are precisely defined intervals corresponding to [[81/64]] and [[32/27]] in [[Pythagorean tuning]], but generated by a tempered fifth. | |||
* In [[12edo]], major is 400{{cent}} and minor is 300{{cent}}. | |||
* In [[19edo]], major is 379{{c}} and minor is 316{{c}}. | |||
* In [[12edo]], major is | * In [[22edo]], major is 436{{c}} and minor is 273{{c}}. | ||
* In [[19edo]], major is | * 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. | ||
* In [[22edo]], major is | |||
* If we pretend that [[16edo]]'s fifth generates a diatonic scale, this places major at | |||
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)|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. | ||
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== SCL files == | == SCL files == | ||
.SCL files for the classical major and minor triads are provided below<pre>! majortriad.scl | .SCL files for the classical major and minor triads are provided below: | ||
<pre> | |||
! majortriad.scl | |||
! | ! | ||
The major triad as a wakalix | The major triad as a wakalix | ||
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3/2 | 3/2 | ||
2/1 | 2/1 | ||
</pre><pre> | </pre> | ||
<pre> | |||
! minortriad.scl | ! minortriad.scl | ||
! | ! | ||
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3/2 | 3/2 | ||
2/1</pre> | 2/1</pre> | ||
[[Category:Wakalixes]] | [[Category:Wakalixes]] | ||
[[Category:Triad]] | [[Category:Triad]] | ||
[[Category:Chords]] | [[Category:Chords]] | ||
[[Category:Pages with Scala files]] | [[Category:Pages with Scala files]] | ||