Xenwolf

Hello there, I see that the intervals 55/32 and 64/55 are not present in the chart on the Gallery of Just Intervals page, and I have no idea how to add them as I don't know how to add cells to the chart.  As I told Mike Battaglia in a recent email, I've found both 55/32 and 64/55 extremely useful in 11-limit music as they help harmonically bridge the 16/11 fifth.  They are made even more useful by the fact that they differ from septimal intervals such as 12/7 and 7/6 by only a Keenanisma.  Accordingly, I use them in a 44:55:64 overtonal triads built on the octave-reduced eleventh harmonic of the tonic as a predominant chord, and this is one of the two best 11-limit chords to use for such a purpose as it is clearly distinct from a diminished chord.  While this chord is strange-sounding, it can help to evoke a sense of both the strange and wonderful, particularly if followed up by a traditional dominant seventh built on the third harmonic of the tonic.  Possible set-ups I've found so far include a 4:5:6 major triad built on the octave-reduced third harmonic, a 10:12:15 minor triad built on the octave-reduced fifth harmonic, a 27:32:40 minor third built on the octave-reduced twenty-seventh harmonic, and of course, the tonic triad itself. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 12:15, 2 September 2020 (UTC)