Gjaeck: Difference between revisions

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Gjaeck is a [[Tridecatonic MOS|tridecatonic]] ([[5L 8s|5L8s]]) [[MOS scale]] of [[57edo|57ed]]2 optimized for the prime harmonics 11, 13, 17, and 19, while not optimizing for the simpler prime harmonics 3, 5, and 7.
Gjaeck is a [[Tridecatonic MOS|tridecatonic]] ([[5L 8s]]) [[MOS scale]] of [[57edo|57ed2]] optimized for the prime harmonics 11, 13, 17, and 19, while not optimizing for the simpler prime harmonics 3, 5, and 7.
[[File:Gjaeck - cycle view.jpg|thumb|
[[File:Gjaeck - cycle view.jpg|thumb|
Gjaeck
Gjaeck
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== Temperings ==
== Temperings ==


The [[patent val]] for 2.11.13.17.19 prime limit 57ed2 is <code>< 57 197 211 233 242 |</code>, resulting in the following mappings:
The [[patent val]] for 2.11.13.17.19 prime limit 57ed2 is {{Val| 57 197 211 233 242 }}, resulting in the following mappings:
{| class="wikitable"
{| class="wikitable"
|+
|+
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|2432/2431
|2432/2431
|0.71200249782
|0.71200249782
|<nowiki>| 7 0 0 0 -1 -1 -1 1 ></nowiki>
|{{Monzo| 7 0 0 0 -1 -1 -1 1 }}
|}
|}


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[[Yer]], another tuning in the [[2.11.13.17.19 subgroup]], JI, also designed by [[Douglas Blumeyer]]
[[Yer]], another tuning in the [[2.11.13.17.19 subgroup]], JI, also designed by [[Douglas Blumeyer]]
[[Category:Pages with Scala files]]
[[Category:13-tone scales]]