11edt

← 10edt

11edt

12edt →

Prime factorization	11 (prime)
Step size	172.905 ¢
Octave	7\11edt (1210.34 ¢) (semiconvergent)
Consistency limit	6
Distinct consistency limit	5

11edt means the division of 3, the tritave, into 11 equal parts of 175.905 cents each, corresponding to 6.940 edo. It can therefore be seen as a very stretched version of 7edo, with octaves sharpened by ten and a third cents. The octave stretching makes the fifth in better tune, and of course the twelfth is the pure 3/1 tritave.

From a no-two point of view, it tempers out 49/45 and 15625/15309 in the 7-limit and 35/33 and 77/75 in the 11-limit.

Intervals

#	Cents	Hekts	Approximate ratios	Arcturus nonatonic notation
0			1/1	H
1	172.9	118.1	11/10, 10/9	H#, Ib
2	345.8	236.2	11/9	I
3	518.7	354.3	4/3, 27/20	J
4	691.6	472.4	3/2, 40/27	K
5	864.5	590.5	5/3, 28/17, 105/64	L
6	1037.4	708.6	29/16, 20/11, 64/35	L#, Mb
7	1210.3	826.7	2/1	M
8	1383.2	944.8		N
9	1556.1	1062.9		O
10	1729	1181		P
11	1902	1300		H

Scala file

Tuning in scala format is as follows:

! E:\cakewalk\scales\11_of_tritave.scl

!

11 in tritave

!

172.90500

345.81000

518.71500

691.62000

864.52500

1037.43000

1210.33500

1383.24000

1556.14500

1729.05000

3/1

Pieces

Mozart's sonata #11 in A Major K331 in 11 EDT (using a 11 => 12 key mapping so octaves become tritaves)

Frozen Time Occupies Wall Street by Chris Vaisvil =>information about the piece

Molly's Playground by Chris Vaisvil => information about the piece