Meantone: Difference between revisions

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== Tunings ==

Common meantone tunings ~~include various~~ [[eigenmonzo]] tunings such as the [[quarter-comma meantone]], ~~edo~~ tunings like [[31edo]], and ~~otherwise~~ optimized tunings ~~like the~~ POTE ~~tuning~~, ~~shown below~~. For a more complete list, see the table below. These different tunings are referred to as "temperaments" in traditional terms.

Common meantone tunings can be classified into eigenmonzo tunings, edo tunings, prime-optimized tunings and others. In [[eigenmonzo]] tunings such as the [[quarter-comma meantone]], a certain interval is tuned pure and certain others are equally off. Edo tunings like [[31edo]] have rational size relationship between steps, and happen to send an additional comma to unison. Prime-optimized tunings include TE, POTE, CTE, etc. For a more complete list, see the table below. These different tunings are referred to as "temperaments" in traditional terms.

; Eigenmonzo tunings

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* [[1/5 syntonic comma meantone]] – with eigenmonzo [[15/8]]

* [[1/6 syntonic comma meantone]] – with eigenmonzo [[45/32]]

* Ratwolf tuning

; Edo tunings

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* [[12edo|7\12]]

; ~~POTE~~ tunings

; Prime-optimized tunings

* ~3/2 = 696.~~239¢~~ – 5-limit ~~meantone~~

* ~3/2 = 696.2387¢ – 5-limit POTE tuning

* ~3/2 = 696.~~495¢~~ – 7-limit ~~meantone~~

* ~3/2 = 697.2143¢ – 5-limit CTE tuning

* ~3/2 = 696.4949¢ – 7-limit POTE tuning

* ~3/2 = 696.9521¢ – 7-limit CTE tuning

; Other optimized tunings

* [[Golden meantone]]

* [[Tungsten meantone]]

* [[Mercury meantone]]

* [[Lucy tuning]]

* Equal beating tuning

=== Tuning spectrum ===

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 == Tunings ==
-Common meantone tunings include various [[eigenmonzo]] tunings such as the [[quarter-comma meantone]], edo tunings like [[31edo]], and otherwise optimized tunings like the POTE tuning, shown below. For a more complete list, see the table below. These different tunings are referred to as "temperaments" in traditional terms.
+Common meantone tunings can be classified into eigenmonzo tunings, edo tunings, prime-optimized tunings and others. In [[eigenmonzo]] tunings such as the [[quarter-comma meantone]], a certain interval is tuned pure and certain others are equally off. Edo tunings like [[31edo]] have rational size relationship between steps, and happen to send an additional comma to unison. Prime-optimized tunings include TE, POTE, CTE, etc. For a more complete list, see the table below. These different tunings are referred to as "temperaments" in traditional terms.
 ; Eigenmonzo tunings
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 * [[1/5 syntonic comma meantone]] – with eigenmonzo [[15/8]]
 * [[1/6 syntonic comma meantone]] – with eigenmonzo [[45/32]]
+* Ratwolf tuning
 ; Edo tunings
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 * [[12edo|7\12]]
-; POTE tunings
+; Prime-optimized tunings
-* ~3/2 = 696.239¢ – 5-limit meantone
+* ~3/2 = 696.2387¢ – 5-limit POTE tuning
-* ~3/2 = 696.495¢ – 7-limit meantone
+* ~3/2 = 697.2143¢ – 5-limit CTE tuning
+* ~3/2 = 696.4949¢ – 7-limit POTE tuning
+* ~3/2 = 696.9521¢ – 7-limit CTE tuning
 ; Other optimized tunings
 * [[Golden meantone]]
 * [[Tungsten meantone]]
+* [[Mercury meantone]]
 * [[Lucy tuning]]
+* Equal beating tuning
 === Tuning spectrum ===