2960edo: Difference between revisions

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== Theory ==

2960edo is a dual-fifth system that is also an excellent 2.5.9.11.17.19 subgroup tuning.

~~2960edo~~ is ~~a dual~~-fifth ~~system that~~ is also ~~an excellent~~ 2.5.~~9.11.17.19 subgroup tuning~~.

2960dh val {{val|2960 4691 6873 '''8309''' 10240 10953 12099 '''12573'''}} is the unique mapping that supports both the 80th-octave temperament called [[mercury]], and the coincidentally similarly named [[mercury meantone]], which tunes the meantone steps to [[19/17]] and [[15/14]].

In this case, 19/17 is mapped to 474 steps and 15/14 is mapped to 295 steps. This means that the fifth is mapped to 1717 steps, being 14 steps below the patent val fifth, therefore also meaning if such a temperament is realized via the regular temperament perspective, it will not be mapped to 3\2.

From a regular temperament perspective, mercury meantone in 2960edo can be potentially realized as [[893edo|893]] & 2960dh temperament in the 19-limit, as it maps two generators to 19/17 and 2955 generators to 15/14, which is circularly equivalent to 5 steps down in 2960edo (2955 + 5 = 2960), corresponding to Phrygian and Locrian modes. Eliora proposes the name ''quicksilvertone'' for this regular temperament.

2960dh val {{val|2960 4691 6873 '''8309''' 10240 10953 12099 '''12573'''}} is the unique mapping that supports both the 80th-octave temperament called [[mercury]], and the coincidentally similarly named [[mercury meantone]], which tunes the meantone steps to [[19/17]] and [[15/14]].

=== Odd harmonics ===

== Scales ==

* 474 474 295 474 474 474 295 - mercury meantone (major scale)

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 {{Infobox ET}}
 {{EDO intro|2960}}
+== Theory ==
+edo is a dual-fifth system that is also an excellent 2.5.9.11.17.19 subgroup tuning.
-edo is a dual-fifth system that is also an excellent 2.5.9.11.17.19 subgroup tuning.
+dh val {{val|2960 4691 6873 '''8309''' 10240 10953 12099 '''12573'''}} is the unique mapping that supports both the 80th-octave temperament called [[mercury]], and the coincidentally similarly named [[mercury meantone]], which tunes the meantone steps to [[19/17]] and [[15/14]].
+In this case, 19/17 is mapped to 474 steps and 15/14 is mapped to 295 steps. This means that the fifth is mapped to 1717 steps, being 14 steps below the patent val fifth, therefore also meaning if such a temperament is realized via the regular temperament perspective, it will not be mapped to 3\2.
+From a regular temperament perspective, mercury meantone in 2960edo can be potentially realized as [[893edo|893]] & 2960dh temperament in the 19-limit, as it maps two generators to 19/17 and 2955 generators to 15/14, which is circularly equivalent to 5 steps down in 2960edo (2955 + 5 = 2960), corresponding to Phrygian and Locrian modes. Eliora proposes the name ''quicksilvertone'' for this regular temperament.
-dh val {{val|2960 4691 6873 '''8309''' 10240 10953 12099 '''12573'''}} is the unique mapping that supports both the 80th-octave temperament called [[mercury]], and the coincidentally similarly named [[mercury meantone]], which tunes the meantone steps to [[19/17]] and [[15/14]].
+=== Odd harmonics ===
 {{harmonics in equal|2960}}
+== Scales ==
+* 474 474 295 474 474 474 295 - mercury meantone (major scale)