13edf: Difference between revisions
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Contribution (talk | contribs) Not true - 17edf give an even smaller 25/24 |
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'''13EDF''' is the [[EDF|equal division of the just perfect fifth]] into 13 parts of 53.9965 [[cent|cents]] each, corresponding to 22.2236 [[edo]]. It is nearly identical to every ninth step of [[200edo]]. | '''13EDF''' is the [[EDF|equal division of the just perfect fifth]] into 13 parts of 53.9965 [[cent|cents]] each, corresponding to 22.2236 [[edo]]. It is nearly identical to every ninth step of [[200edo]]. | ||
Revision as of 18:35, 5 October 2022
| ← 12edf | 13edf | 14edf → |
13EDF is the equal division of the just perfect fifth into 13 parts of 53.9965 cents each, corresponding to 22.2236 edo. It is nearly identical to every ninth step of 200edo.
Intervals
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | exact 1/1 | ||
| 1 | 53.9965 | 33/32 | pseudo-25/24 |
| 2 | 107.9931 | 17/16, 117/110, 16/15 | |
| 3 | 161.9896 | 11/10 | |
| 4 | 215.9862 | 17/15 | |
| 5 | 269.9827 | 7/6 | |
| 6 | 323.9792 | 77/64 | pseudo-6/5 |
| 7 | 377.9758 | 56/45 | pseudo-5/4 |
| 8 | 431.9723 | 9/7 | |
| 9 | 485.9688 | 45/34 | pseudo-4/3 |
| 10 | 539.9654 | 15/11 | |
| 11 | 593.9619 | 55/39, 24/17 | |
| 12 | 647.9585 | 16/11 | |
| 13 | 701.9550 | exact 3/2 | just perfect fifth |
| 14 | 755.9515 | 99/64 | |
| 15 | 809.9481 | 51/32, 8/5 | |
| 16 | 863.9446 | 33/20 | |
| 17 | 917.9412 | 17/10 | |
| 18 | 971.9377 | 7/4 | |
| 19 | 1025.9342 | 29/16 | pseudo-9/5 |
| 20 | 1079.9308 | 28/15 | pseudo-15/8 |
| 21 | 1133.9273 | 52/27, 27/14 | |
| 22 | 1187.9238 | 135/68 | pseudo-octave |
| 23 | 1241.9204 | 45/22 | |
| 24 | 1295.9169 | 19/9, 36/17 | |
| 25 | 1349.9135 | 24/11 | |
| 26 | 1403.9100 | exact 9/4 | pythagorean major ninth |