User:Userminusone/Userminusone's 11 limit 15 tone scale
33/32 35/32 9/8 77/64 5/4 21/16 11/8 45/32 3/2 99/64 105/64 7/4 231/128 15/8 2/1
This scale only uses harmonics of the fundamental up to the 11 prime limit. It can be interpreted as the chord 128:132:140:144:154:160:168:176:180:192:198:210:224:231:240:256.
Details about scale structure
This scale has 9 just perfect fifths, 5 just major thirds, 6 harmonic sevenths, and 5 11-limit superfourths. One interesting thing about this scale is that it has 3 chains of pseudo-5edo that only contain perfect fifths and harmonic sevenths. (This subset scale is 1/1, 9/8, 21/16, 3/2, 7/4, 2/1 or the chord 16:18:21:24:28:32.) In the same way that 15edo could be used as 5edo with a few extra ornamental notes, this scale could be used as pseudo-5edo with occasional 5-limit and 11-limit melodies/harmonies. If you see any other interesting properties that I missed, please let me know in this page's talk section.
Links
Play along with Scale Workshop
Play along with Terpstra Keyboard