12edf: Difference between revisions
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'''12EDF''' is the [[EDF|equal division of the just perfect fifth]] into 12 parts of 58.4963 [[cent|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is related to the [[Tetracot family|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit. | |||
0 | ==Intervals== | ||
{| class="wikitable" | |||
|- | |||
! | degree | |||
! | cents value | |||
! | corresponding <br>JI intervals | |||
! | comments | |||
|- | |||
| | 0 | |||
| | 0.0000 | |||
| | '''exact [[1/1]]''' | |||
| | | |||
|- | |||
| | 1 | |||
| | 58.4963 | |||
| | 91/88, 88/85 | |||
| | | |||
|- | |||
| | 2 | |||
| | 116.9925 | |||
| | [[15/14]] | |||
| | | |||
|- | |||
| | 3 | |||
| | 175.4888 | |||
| | [[21/19]] | |||
| | | |||
|- | |||
| | 4 | |||
| | 233.9850 | |||
| | [[8/7]] | |||
| | | |||
|- | |||
| | 5 | |||
| | 292.4813 | |||
| | 45/38 | |||
| | | |||
|- | |||
| | 6 | |||
| | 350.9775 | |||
| | [[11/9]], [[27/22]] | |||
| | | |||
|- | |||
| | 7 | |||
| | 409.4738 | |||
| | [[19/15]] | |||
| | | |||
|- | |||
| | 8 | |||
| | 467.9700 | |||
| | [[21/16]] | |||
| | | |||
|- | |||
| | 9 | |||
| | 526.4663 | |||
| | [[19/14]] | |||
| | | |||
|- | |||
| | 10 | |||
| | 584.9625 | |||
| | [[7/5]] | |||
| | | |||
|- | |||
| | 11 | |||
| | 643.4588 | |||
| | | |||
| | | |||
|- | |||
| | 12 | |||
| | 701.9550 | |||
| | '''exact [[3/2]]''' | |||
| | just perfect fifth | |||
|} | |||
[[Category:Edf]] | |||
[[Category:Edonoi]] | |||
Revision as of 00:12, 6 February 2019
12EDF is the equal division of the just perfect fifth into 12 parts of 58.4963 cents each, corresponding to 20.5141 edo (similar to every second step of 41edo). It is related to the dodecacot temperament, which tempers out 3087/3125 and 10976/10935 in the 7-limit.
Intervals
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 58.4963 | 91/88, 88/85 | |
| 2 | 116.9925 | 15/14 | |
| 3 | 175.4888 | 21/19 | |
| 4 | 233.9850 | 8/7 | |
| 5 | 292.4813 | 45/38 | |
| 6 | 350.9775 | 11/9, 27/22 | |
| 7 | 409.4738 | 19/15 | |
| 8 | 467.9700 | 21/16 | |
| 9 | 526.4663 | 19/14 | |
| 10 | 584.9625 | 7/5 | |
| 11 | 643.4588 | ||
| 12 | 701.9550 | exact 3/2 | just perfect fifth |