22:26:33
22:26:33, the major minthmic minor triad or neogothic minor triad, is a 13-limit tertian triad. This triad has a darker quality than the 10:12:15 classical minor triad, though not as much as the 6:7:9 subminor triad. Here 13/11 functions as a neogothic minor third, being between 7/6 and 6/5, in fact being (7+6)/(6+5), which is the mediant of 7/6 and 6/5. We can similarly find the neogothic major third by taking the mediant of 5/4 and 9/7, which is (5+9)/(4+7) = 14/11. The triad containing this third and the perfect fifth is 22:28:33, which can be considered the neogothic major triad. Note that these triads only invert to each other if and only if (14/11)*(13/11)/(3/2) = 364/363, the minor minthma or gentle comma, is tempered out.
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