User:Userminusone/Userminusone's 11 limit 15 tone scale

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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

A lattice showing the structure of this scale

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.

Links

Play along with Scale Workshop

Play along with Terpstra Keyboard

Play along with Terpstra Keyboard (lattice)

Play along with Terpstra Keyboard (compact lattice)