Keenanismic chords: Difference between revisions

m Improve readability; recategorize
Xenllium (talk | contribs)
updated
Tags: Mobile edit Mobile web edit
 
Line 47: Line 47:
* 1–12/11–5/4–3/2–7/4 with steps 12/11, 8/7, 6/5, 7/6, 8/7.
* 1–12/11–5/4–3/2–7/4 with steps 12/11, 8/7, 6/5, 7/6, 8/7.


If we are willing to go as high as the [[15-odd-limit]], there are many more keenanismic chords, all of which have a step of size [[16/15]]. There are six additional keenanismic triads in the 15-odd-limit, 32 additional keenanismic tetrads and 44 additional pentads.
If we are willing to go as high as the [[15-odd-limit]], there are many more keenanismic chords, including six additional triads, 33 additional tetrads and 46 additional pentads. There are also hexads, such as 1–5/4–11/8–3/2–12/7–15/8 (steps 5/4, 11/10, 12/11, 8/7, 12/11, 16/15) and its inverse 1–12/11–5/4–15/11–3/2–15/8 (steps 12/11, 8/7, 12/11, 11/10, 5/4, 16/15).


Equal temperaments with keenanismic tetrads include {{EDOs| 19, 22, 31, 41, 46, 53, 68, 72, 87, 94, 103, 118, 159, 190, 212, 284 and 402de }}.
Equal temperaments with keenanismic tetrads include {{EDOs| 19, 22, 31, 41, 46, 53, 68, 72, 87, 94, 103, 118, 159, 190, 212, 284 and 402de }}.