1-5-7-11-13 dekany
The simplest possible no-3's dekany. This creates a scale of 1 11/10 91/80 13/10 11/8 7/5 13/8 7/4 143/80 77/40 2/1, with steps of 11/10 91/88 8/7 55/52 56/55 65/56 14/13 143/140 14/13 80/77. As expected given its factors, this is highly xenharmonic, including both very large and small steps, although at least none of them are so small to blend into one-another, merely creating dissonance if the close ones are played together. The third, fifth, seventh and tenth notes of the scale played together do at least make a recognisable diminished seventh chord, which does sound familiar if not exactly pleasant.
! 1-5-7-11-13_Dekany.scl ! 1 5 7 11 13 2-combination Dekany 10 ! 165.004 223.039 454.213 551.317 582.512 840.527 968.825 1005.531 1133.830 1200
Suggested keyboard mapping: Start on C, skipping the E and G notes.