22:28:33
22:28:33, the pentacircle minthmic major triad or neogothic major triad, is an 11-limit tertian triad. This triad has a brighter quality than the 4:5:6 classical major triad, though not as much as the 14:18:21 supermajor triad. Here 14/11 functions as a neogothic major third, being between 5/4 and 9/7, in fact being (5+9)/(4+7), which is the mediant of 5/4 and 9/7. We can similarly find the neogothic minor third by taking the mediant of 7/6 and 6/5, which is (7+6)/(6+5) = 13/11. The triad containing this third and the perfect fifth is 22:26:33, which can be considered the neogothic minor 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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