15edf: Difference between revisions
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'''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]]). | {{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]] | 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]]''' | ||
| | | | | | ||
| Line 90: | Line 95: | ||
| | '''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}} | |||