79edo: Difference between revisions

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== Theory ==

79edo works well as a no-7 13- or 17-[[limit]] tuning. It is in fact [[consistent]] in the no-7 [[13-odd-limit]].

79edo works well as a no-7 13- or 17-[[limit]] tuning. It is in fact [[consistent]] in the no-7 [[13-odd-limit]], even though it is a [[The Riemann zeta function and tuning#Valley edos|zeta valley edo]] (notably, it is the last one until [[5941edo]]).

Using the [[patent val]], it [[tempering out|tempers out]] [[3125/3072]] in the 5-limit, [[1728/1715]], [[4000/3969]] and [[4375/4374]] in the 7-limit, [[99/98]], [[243/242]], [[385/384]], 1331/1323, and [[4000/3993]] in the 11-limit, and [[169/168]], [[275/273]], [[325/324]], [[351/350]], [[640/637]], [[1188/1183]], [[1575/1573]], [[2080/2079]], and [[2200/2197]] in the 13-limit. It provides the [[optimal patent val]] for the [[sentinel]] temperament.

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== Regular temperament properties ==

79edo supports the [[bluebirds]] temperament. It also supports [[Subgroup temperaments #Oceanfront|oceanfront]], [[~~meantone~~]]~~, and~~ [[~~sentinel~~]].

79edo supports the [[bluebirds]] temperament. It also supports [[Subgroup temperaments #Oceanfront|oceanfront]] and [[sentinel]]. Its alternate 79c val supports [[meantone]] in the 5-limit.

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=== Others ===

* [[Meantone]] Minor Hexatonic: 13 7 13 13 20 13 ((13, 20, 33, 46, 66, 79)\79)

* [[180rotator]]'s 9-tone 33\79 scale: 7 13 7 6 7 13 7 6 7 6

== Instruments ==

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; [[Bryan Deister]]

* [https://www.youtube.com/watch?v=qj6tmkMvQMU ''microtonal improvisation in 79edo''] (2025)

* [https://www.youtube.com/shorts/EytZXtN3TNw ''Looping the Rooms - Rusino (microtonal cover in 79edo)''] (2026)

; [[User:Francium|Francium]]

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 == Theory ==
-edo works well as a no-7 13- or 17-[[limit]] tuning. It is in fact [[consistent]] in the no-7 [[13-odd-limit]].
+edo works well as a no-7 13- or 17-[[limit]] tuning. It is in fact [[consistent]] in the no-7 [[13-odd-limit]], even though it is a [[The Riemann zeta function and tuning#Valley edos|zeta valley edo]] (notably, it is the last one until [[5941edo]]).
 Using the [[patent val]], it [[tempering out|tempers out]] [[3125/3072]] in the 5-limit, [[1728/1715]], [[4000/3969]] and [[4375/4374]] in the 7-limit, [[99/98]], [[243/242]], [[385/384]], 1331/1323, and [[4000/3993]] in the 11-limit, and [[169/168]], [[275/273]], [[325/324]], [[351/350]], [[640/637]], [[1188/1183]], [[1575/1573]], [[2080/2079]], and [[2200/2197]] in the 13-limit. It provides the [[optimal patent val]] for the [[sentinel]] temperament.
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 == Regular temperament properties ==
-edo supports the [[bluebirds]] temperament. It also supports [[Subgroup temperaments #Oceanfront|oceanfront]], [[meantone]], and [[sentinel]].
+edo supports the [[bluebirds]] temperament. It also supports [[Subgroup temperaments #Oceanfront|oceanfront]] and [[sentinel]]. Its alternate 79c val supports [[meantone]] in the 5-limit.
 {{todo|expand}}
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 === Others ===
 * [[Meantone]] Minor Hexatonic: 13 7 13 13 20 13 ((13, 20, 33, 46, 66, 79)\79)
+* [[180rotator]]'s 9-tone 33\79 scale: 7 13 7 6 7 13 7 6 7 6
 == Instruments ==
@@ Line 65: / Line 66: @@
 ; [[Bryan Deister]]
 * [https://www.youtube.com/watch?v=qj6tmkMvQMU ''microtonal improvisation in 79edo''] (2025)
+* [https://www.youtube.com/shorts/EytZXtN3TNw ''Looping the Rooms - Rusino (microtonal cover in 79edo)''] (2026)
 ; [[User:Francium|Francium]]