22:28:33: Difference between revisions
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{{Infobox chord}} | {{Infobox chord}} | ||
'''22:28:33''', the '''pentacircle | '''22:28:33''', the '''pentacircle major triad''', is an [[11-limit]] {{w|tertian harmony|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 and minor|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, and [[33/28]] functions as the corresponding neogothic minor third. | ||
{{ | We can find another neogothic minor third by taking the mediant of [[7/6]] and [[6/5]], which is {{nowrap| (7 + 6)/(6 + 5) {{=}} [[13/11]] }}. The triad containing this third and the [[3/2|perfect fifth]] is [[22:26:33]]. Note that these triads are reduced to the [[13-odd-limit]] and invert to each other if and only if {{nowrap| (14/11)⋅(13/11)/(3/2) {{=}} [[364/363]] }}, the minor minthma or gentle comma, is [[tempering out|tempered out]]. | ||
== See also == | |||
* [[28:33:42]] – its inverse | |||
[[Category:Major triads]] | [[Category:Major triads]] | ||
Revision as of 10:36, 17 January 2026
| Chord information |
22:28:33, the pentacircle 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, and 33/28 functions as the corresponding neogothic minor third.
We can find another 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. Note that these triads are reduced to the 13-odd-limit and 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.
See also
- 28:33:42 – its inverse