11edt: Difference between revisions
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| Line 70: | Line 70: | ||
| 691.6 | | 691.6 | ||
| 472.4 | | 472.4 | ||
| [[3/2]], [[40/27]] | |||
| K | | K | ||
|- | |- | ||
| Line 75: | Line 76: | ||
| 864.5 | | 864.5 | ||
| 590.5 | | 590.5 | ||
| [[5/3]], [[28/17]], [[105/64]] | |||
| L | | L | ||
|- | |- | ||
| 6 | | 6 | ||
| 1037.4 | | 1037.4 | ||
| 708.6 | |||
| [[29/16]], [[20/11], [[64/35]] | |||
| L#, Mb | | L#, Mb | ||
|- | |- | ||
| Line 84: | Line 88: | ||
| 1210.3 | | 1210.3 | ||
| 826.7 | | 826.7 | ||
| [[2/1]] | |||
| M | | M | ||
|- | |- | ||
| Line 89: | Line 94: | ||
| 1383.2 | | 1383.2 | ||
| 944.8 | | 944.8 | ||
| | |||
| N | | N | ||
|- | |- | ||
| Line 94: | Line 100: | ||
| 1556.1 | | 1556.1 | ||
| 1062.9 | | 1062.9 | ||
| | |||
| O | | O | ||
|- | |- | ||
| Line 99: | Line 106: | ||
| 1729 | | 1729 | ||
| 1181 | | 1181 | ||
| | |||
| P | | P | ||
|- | |- | ||
| Line 104: | Line 112: | ||
| 1902 | | 1902 | ||
| 1300 | | 1300 | ||
| | |||
| H | | H | ||
|} | |} | ||
Revision as of 23:06, 18 February 2023
| ← 10edt | 11edt | 12edt → |
(semiconvergent)
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.
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
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 | |
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