89edf: Difference between revisions

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m Add harmonics table and todo:expand
→Intervals: Insert Instruments section after this, now that a Lumatone mapping for 89edf is available
 
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89edf is the [[EDF|equal division of the just perfect fifth]] into eighty nine parts of 7.887 [[cent|cents]] each, corresponding to 152.1465 [[edo]].
89edf is the [[EDF|equal division of the just perfect fifth]] into eighty nine parts of 7.887 [[cent|cents]] each, corresponding to 152.1465 [[edo]].


==Theory==
== Theory ==
89edf is similar to [[Carlos Gamma]] in that it includes a just perfect fifth and an incredibly precise approximation of the major and minor thirds, and is next in line in the sequence {[[1edf|1]], [[2edf|2]], [[5edf|5]], [[7edf|7]], [[9edf|9]], [[11edf|11]], [[20edf|20]], 89, 109, 129, 149} of divisions of the perfect fifth to approximate [[5/4]] with increasing accuracy.
89edf is similar to [[Carlos Gamma]] in that it includes a just perfect fifth and an incredibly precise approximation of the major and minor thirds, and is next in line in the sequence {[[1edf|1]], [[2edf|2]], [[5edf|5]], [[7edf|7]], [[9edf|9]], [[11edf|11]], [[20edf|20]], 89, 109, 129, 149} of divisions of the perfect fifth to approximate [[5/4]] with increasing accuracy.


===Harmonics===
=== Harmonics ===
{{Harmonics in equal|89|3|2|intervals=prime}}
{{Harmonics in equal|89|3|2|intervals=prime}}
{{Harmonics in equal|89|3|2|intervals=prime|collapsed=1|start=12}}
{{Harmonics in equal|89|3|2|intervals=prime|collapsed=1|start=12}}
== Intervals ==
{{Interval table}}
== Instruments ==
A [[Lumatone mapping for 89edf]] is available.
== Music ==
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/HB7qLo6Ac8c ''89ed(3/2) groove''] (2026)


{{todo|expand}}
{{todo|expand}}