26edf: Difference between revisions
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{{Infobox ET}} | |||
'''26EDF''' is the [[EDF|equal division of the just perfect fifth]] into 26 parts of 26.9983 [[cent|cents]] each, corresponding to 44.4473 [[edo]]. It is nearly identical to every ninth step of [[400edo]]. | '''26EDF''' is the [[EDF|equal division of the just perfect fifth]] into 26 parts of 26.9983 [[cent|cents]] each, corresponding to 44.4473 [[edo]]. It is nearly identical to every ninth step of [[400edo]]. | ||
== Commas tempered by this tuning == | |||
7-limit: 50/49, 36/35, 126/125 | |||
11-limit: 56/55, 80/77, 99/98, 100/99, 128/121 | |||
17-limit: 52/51 | |||
Tempering out these commas results in the following equivalencies: | |||
7/5~10/7 | |||
7/6~6/5 | |||
10/7~36/25 | |||
11/8~7/5 | |||
49/40~14/11 | |||
14/11~9/7 | |||
9/8~25/22 | |||
33/32~12/11 | |||
17/13~4/3 | |||
==Harmonics== | |||
{{Harmonics in equal|26|3|2|columns=8}} | |||
{{Harmonics in equal|26|3|2|columns=8|start=9|title=(contd.)}} | |||
==Intervals== | ==Intervals== | ||
{| class="wikitable" | {| class="wikitable mw-collapsible" | ||
|+ Intervals of 26edf | |||
|- | |- | ||
! | degree | ! | degree | ||
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! | comments | ! | comments | ||
|- | |- | ||
| | | colspan="2"| 0 | ||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
| | | | | | ||
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|} | |} | ||
{{stub}} | |||