Major and minor triads: Difference between revisions

Overthink (talk | contribs)
m In just intonation: lower limits should be first
Remove reference to latitude (idiosyncratic theory), misc. edits
 
Line 10: Line 10:
** 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.  
** 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)|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.
The triads closer to the middle of the respective ranges correspond 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.


As interval regions, [[Minor third (interval region)|minor thirds]] and [[Major third (interval region)|major thirds]] range from, at the widest, 240-340c and 360-460c, although people tend to restrict this further, such as to roughly 260-330c and 370-440c. And as an interval region, [[Perfect fifth|perfect fifths]] range from around 660 to 740 cents at the widest, often being restricted to 680-720 cents.  
As interval regions, [[Minor third (interval region)|minor thirds]] and [[Major third (interval region)|major thirds]] range from, at the widest, 240-340c and 360-460c, although people tend to restrict this further, such as to roughly 260-330c and 370-440c. And as an interval region, [[Perfect fifth]]s range from around 660 to 740 cents at the widest, often being restricted to 680-720 cents.  


== In just intonation ==
== In just intonation ==