2960edo: Difference between revisions

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== Theory ==

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The 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 [[mercurial comma]], which is the difference between a stack of 5 [[19/17]] and 2 [[15/14]] with the octave. These can be arranged in [[diatonic]] pattern to sound like a [[meantone]] scale. In this case, 19/17 is mapped to 474 steps and 15/14 is mapped to 295 steps.

From a regular temperament perspective, this 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.

From a regular temperament perspective, this 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 ({{nowrap|2955 + 5 {{=}} 2960}}), corresponding to Phrygian and Locrian modes. Eliora proposes the name ''quicksilvertone'' for this regular temperament.

=== Odd harmonics ===

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== Scales ==

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

* 474 474 295 474 474 474 295 – mercury "meantone" (major scale)

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 {{Infobox ET}}
-{{EDO intro|2960}}
+{{ED intro}}
 == Theory ==
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 The 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 [[mercurial comma]], which is the difference between a stack of 5 [[19/17]] and 2 [[15/14]] with the octave. These can be arranged in [[diatonic]] pattern to sound like a [[meantone]] scale. In this case, 19/17 is mapped to 474 steps and 15/14 is mapped to 295 steps.
-From a regular temperament perspective, this 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.
+From a regular temperament perspective, this 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 ({{nowrap|2955 + 5 {{=}} 2960}}), corresponding to Phrygian and Locrian modes. Eliora proposes the name ''quicksilvertone'' for this regular temperament.
 === Odd harmonics ===
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 == Scales ==
-* 474 474 295 474 474 474 295 - mercury "meantone" (major scale)
+* 474 474 295 474 474 474 295 – mercury "meantone" (major scale)
 {{Todo| review }}