3-9-25-625 stellated hexany
A complex 5-limit stellated hexany. This creates a scale of 1 25/24 9/8 75/64 625/512 15625/12288 5625/4096 46875/32768 3/2 25/16 625/384 225/128 1875/1024 15625/8192 2/1, with steps of 25/24 27/25 25/24 25/24 25/24 27/25 25/24 16384/15625 25/24 25/24 27/25 25/24 25/25 16384/15625. This is a neat and highly unambiguous detemper of the 14 note mos scale of squares, with only three step sizes and a ratio between the large & small steps of slightly less than 2:1. Despite being comprised entirely of 5-limit intervals, it has no major thirds, but approximates 11/8 & 13/8 within 3 cents and 7/4 within 8, which demonstrates just how efficient this temperament is at approximating a substantial subset of just intonation when properly optimised. With 10 perfect fifths, you have plenty of freedom to construct chords all around the scale, although the lack of familiar thirds may be disorienting until you figure out how to use the excellent consonances that are available.
! 3-9-25-625-Stellated_Hexany.scl ! 3 9 25 625 1-3-combination Hexany 14 ! 70.672 203.910 274.582 345.254 415.927 549.164 619.883 701.955 772.627 843.299 976.537 1047.209 1117.882 1200