15edf: Difference between revisions
No edit summary |
m Stub mbox, add harmonics, make table collapsible |
||
| (11 intermediate revisions by 5 users not shown) | |||
| Line 1: | Line 1: | ||
'''15EDF''' is the [[EDF|equal division of the just perfect fifth]] into 15 parts of 46. | {{Infobox ET}} | ||
'''15EDF''' is the [[EDF|equal division of the just perfect fifth]] into 15 parts of 46.797 [[cent|cents]] each, corresponding to 25.6427 [[edo]] (similar to every third step of [[77edo]]). The [[3edf]]~[[5edo]] correspondence has completely collapsed by this point, with this EDF being closer to [[26edo]] than [[25edo]]. | |||
Lookalikes: [[26edo]] | Lookalikes: [[26edo]], [[41edt]] | ||
==Harmonics== | |||
{{Harmonics in equal|15|3|2}} | |||
{{Harmonics in equal|15|3|2|start=12|collapsed=1}} | |||
==Intervals== | ==Intervals== | ||
{| class="wikitable" | {| class="wikitable mw-collapsible" | ||
|+ Intervals of 15edf | |||
|- | |- | ||
! | degree | ! | degree | ||
| Line 11: | Line 17: | ||
! | comments | ! | comments | ||
|- | |- | ||
! colspan="2" | 0 | |||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
| | | | | | ||
|- | |- | ||
| | 1 | | | 1 | ||
| | 46. | | | 46.797 | ||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 93. | | | 93.594 | ||
| | | | | [[19/18]] | ||
| | | | | | ||
|- | |- | ||
| | 3 | | | 3 | ||
| | 140. | | | 140.391 | ||
| | [[13/12]] | | | [[13/12]] | ||
| | | | | | ||
|- | |- | ||
| | 4 | | | 4 | ||
| | 187. | | | 187.188 | ||
| | [[10/9]] | | | [[10/9]] | ||
| | | | | | ||
|- | |- | ||
| | 5 | | | 5 | ||
| | 233. | | | 233.985 | ||
| | [[8/7]] | | | [[8/7]] | ||
| | | | | | ||
|- | |- | ||
| | 6 | | | 6 | ||
| | 280. | | | 280.782 | ||
| | | | | [[20/17]] | ||
| | | | | | ||
|- | |- | ||
| | 7 | | | 7 | ||
| | 327. | | | 327.579 | ||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 8 | | | 8 | ||
| | 374. | | | 374.376 | ||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 9 | | | 9 | ||
| | 421. | | | 421.173 | ||
| | | | | 51/40 | ||
| | | | | | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | 467. | | | 467.97 | ||
| | | | | [[21/16]] | ||
| | | | | | ||
|- | |- | ||
| | 11 | | | 11 | ||
| | 514. | | | 514.767 | ||
| | [[27/20]] | | | [[27/20]] | ||
| | | | | | ||
|- | |- | ||
| | 12 | | | 12 | ||
| | 561. | | | 561.564 | ||
| | | | | [[18/13]] | ||
| | | | | | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | 608. | | | 608.361 | ||
| | | | | 27/19 | ||
| | | | | | ||
|- | |- | ||
| | 14 | | | 14 | ||
| | 655. | | | 655.158 | ||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 15 | | | 15 | ||
| | 701. | | | 701.955 | ||
| | '''exact [[3/2]]''' | | | '''exact [[3/2]]''' | ||
| | just perfect fifth | | | just perfect fifth | ||
|- | |||
|16 | |||
|748.752 | |||
| | |||
| | |||
|- | |||
|17 | |||
|795.549 | |||
|19/12 | |||
| | |||
|- | |||
|18 | |||
|842.346 | |||
|13/8 | |||
| | |||
|- | |||
|19 | |||
|889.143 | |||
|5/3 | |||
| | |||
|- | |||
|20 | |||
|935.94 | |||
|12/7 | |||
| | |||
|- | |||
|21 | |||
|982.737 | |||
|30/17 | |||
| | |||
|- | |||
|22 | |||
|1029.534 | |||
| | |||
| | |||
|- | |||
|23 | |||
|1076.331 | |||
| | |||
| | |||
|- | |||
|24 | |||
|1123.128 | |||
|153/80 | |||
| | |||
|- | |||
|25 | |||
|1168.925 | |||
|63/32 | |||
| | |||
|- | |||
|26 | |||
|1216.722 | |||
|81/40 | |||
| | |||
|- | |||
|27 | |||
|1263.519 | |||
|27/13 | |||
| | |||
|- | |||
|28 | |||
|1310.316 | |||
|81/38 | |||
| | |||
|- | |||
|29 | |||
|1357.113 | |||
| | |||
| | |||
|- | |||
|30 | |||
|1403.91 | |||
|'''exact''' 9/4 | |||
| | |||
|} | |} | ||
{{stub}} | |||