21edt

21 Equal Divisions of the Tritave

Degrees	Cents	Approximate Ratio
0	0	1/1
1	90.569	21/20, 135/128
2	181.139	10/9
3	271.708	7/6
4	362.277	16/13
5	452.846	13/10
6	543.416	15/11, 11/8
7	633.985	13/9
8	724.554	35/23
9	815.124	8/5
10	905.693	27/16
11	996.262	16/9
12	1086.831	15/8
13	1177.401	69/35
14	1267.970	27/13
15	1358.539	11/5 (11/10 plus an octave), 24/11 (12/11 plus an octave)
16	1449.109	30/13 (15/13 plus an octave)
17	1539.678	39/16
18	1630.247	18/7 (9/7 plus an octave)
19	1720.816	27/10
20	1811.386	20/7, 128/45
21	1901.955	3/1

21edt contains 6 intervals from 7edt and 2 intervals from 3edt, meaning that it introduces 12 new intervals not available in lower edt's. These new intervals allow for construction of strange chords like 9:10:13:16:22:27:30...

21edt contains a 7L7s MOS similar to Whitewood, which I call Ivory. It has a period of 1/7 of the tritave and the generator is one step. The major scale is LsLsLsLsLsLsLs, and the minor scale is sLsLsLsLsLsLsL.

21edt also contains a 4L5s MOS similar to BP, with a 4:1 ratio of large to small; quite exaggerated from the optimal 2:1. Although the 7/3 is a little off, the 4L+5s BP scale is pretty. However, one of the star scales in 21edt is the 3L+6s (ssLssLssL and modes thereof) which is very harmonically rich, the cornerstone of which is the approximate 9:13:19 chord (which is just the 3edt essentially tempered chord).

Not the best approximations but all within 20 cents: it has 5th (+20c), 7th(-16c), 10th (+2c), 11th (+15c), 13th (-3c), 17th (-14c), 23rd (+6 c), and 37th (-2c) harmonics. For a lower division of the tritave that's quite a constellation! The chord is a little out of tune but it works, you can really sink into it.