29ed7/4: Difference between revisions

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'''[[Ed7/4|Division of the septimal subminor seventh]] into 29 equal parts''' (29ED7/4) is very nearly identical to [[36edo]], but with the [[7/4]] rather than the 2/1 being just. The octave is stretched by about 2.68 [[cent]]s and the step size is about 33.41 cents.
29ed7/4 is very nearly identical to [[36edo]], but with the [[7/4]] rather than the 2/1 being just. The octave is stretched by about 2.68 [[cent]]s and the step size is about 33.41 cents. This is a slightly sharp version of 36edo.


==Harmonics==
== Theory ==
{{Harmonics in equal|29|7|4|prec=2}}
This tuning tempers out [[50/49]] in the [[7-limit]]; [[99/98]] and [[100/99]] in the [[11-limit]]; [[85/84]] in the [[17-limit]]; [[77/76]] in the [[19-limit]]; and [[92/91]] in the [[23-limit]].


[[Category:Ed7/4]]
== Intervals ==
{{Interval table}}
 
== Harmonics ==
{{Harmonics in equal
| steps = 29
| num = 7
| denom = 4
}}
{{Harmonics in equal
| steps = 29
| num = 7
| denom = 4
| start = 12
| collapsed = 1
}}
 
== Music ==
; [[Francium]]
* "Magents" from ''Check Us Out'' (2026) – [https://open.spotify.com/track/0aPUFboUXLjb0JySqetaEK Spotify] | [https://francium223.bandcamp.com/track/magents Bandcamp] | [https://www.youtube.com/watch?v=IrWLWFtP5IY YouTube]