27edt

27edt means division of the tritave (3/1) into 27 equal parts.

Dividing the interval of 3/1 into 27 equal parts gives a scale with a basic step of 70.4428 cents, corresponding to 17.035 edo, which is nearly identical to one step of 17edo (70.59 cents). Hence it has similar melodic and harmonic properties as 17edo, with the difference that 27 is not a prime number.

27 being the third power of 3, and the base interval being 3/1, 27edt is a tuning where the number 3 prevails. This property seems to predestine 27edt as base tuning for Klingon music (since the tradtional Klingon number system is also based on 3). The rather harsh harmonic character of 27edt would suit very well, too.

See, e.g., http://launch.dir.groups.yahoo.com/group/tuning/message/86909 and http://www.klingon.org/smboard/index.php?topic=1810.0.

Intervals

Steps	Cent	~17edo
1	70.443	70.588
2	140.886	141.176
3	211.328	211.765
4	281.771	282.353
5	352.214	352.941
6	422.657	423.529
7	493.099	494.118
8	563.542	564.706
9	633.985	635.294
10	704.428	705.882
11	774.871	776.471
12	845.313	847.059
13	915.756	917.647
14	986.199	988.235
15	1056.642	1058.824
16	1127.084	1129.412
17	1197.527	1200.000
18	1267.970	1270.588
19	1338.413	1341.176
20	1408.856	1411.765
21	1479.298	1482.353
22	1549.741	1552.941
23	1620.184	1623.529
24	1690.627	1694.118
25	1761.069	1764.706
26	1831.512	1835.294
27	1901.955	1905.882