15edf: Difference between revisions
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{{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]], [[41edt]] | |||
1 | ==Harmonics== | ||
{{Harmonics in equal|15|3|2}} | |||
{{Harmonics in equal|15|3|2|start=12|collapsed=1}} | |||
2 | ==Intervals== | ||
{| class="wikitable mw-collapsible" | |||
|+ Intervals of 15edf | |||
|- | |||
! | degree | |||
! | cents value | |||
! | corresponding <br>JI intervals | |||
! | comments | |||
|- | |||
! colspan="2" | 0 | |||
| | '''exact [[1/1]]''' | |||
| | | |||
|- | |||
| | 1 | |||
| | 46.797 | |||
| | | |||
| | | |||
|- | |||
| | 2 | |||
| | 93.594 | |||
| | [[19/18]] | |||
| | | |||
|- | |||
| | 3 | |||
| | 140.391 | |||
| | [[13/12]] | |||
| | | |||
|- | |||
| | 4 | |||
| | 187.188 | |||
| | [[10/9]] | |||
| | | |||
|- | |||
| | 5 | |||
| | 233.985 | |||
| | [[8/7]] | |||
| | | |||
|- | |||
| | 6 | |||
| | 280.782 | |||
| | [[20/17]] | |||
| | | |||
|- | |||
| | 7 | |||
| | 327.579 | |||
| | | |||
| | | |||
|- | |||
| | 8 | |||
| | 374.376 | |||
| | | |||
| | | |||
|- | |||
| | 9 | |||
| | 421.173 | |||
| | 51/40 | |||
| | | |||
|- | |||
| | 10 | |||
| | 467.97 | |||
| | [[21/16]] | |||
| | | |||
|- | |||
| | 11 | |||
| | 514.767 | |||
| | [[27/20]] | |||
| | | |||
|- | |||
| | 12 | |||
| | 561.564 | |||
| | [[18/13]] | |||
| | | |||
|- | |||
| | 13 | |||
| | 608.361 | |||
| | 27/19 | |||
| | | |||
|- | |||
| | 14 | |||
| | 655.158 | |||
| | | |||
| | | |||
|- | |||
| | 15 | |||
| | 701.955 | |||
| | '''exact [[3/2]]''' | |||
| | 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}} | |||