Patent val: Difference between revisions

Aura (talk | contribs)
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Xenwolf (talk | contribs)
this link is particularly bad, because it leads to mutual dependency in defining each of the terms, the link could appear in this article (maybe at the end), but not in the definition
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| ja = 特徴的なヴァル
| ja = 特徴的なヴァル
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The '''patent val''' (aka '''nearest edomapping''') for some EDO is the val that you obtain by simply finding [[patent interval|the closest rounded-off approximation]] to each [[prime]] in the tuning. For example, the patent val for 17-EDO is <17 27 39|, indicating that the closest mapping for 2/1 is 17 steps, the closest mapping for 3/1 is 27 steps, and the closest mapping for 5/1 is 39 steps. This means, if octaves are pure, that 3/2 is 706 cents, which is what you get if you round off 3/2 to the closest location in 17-equal, and that 5/4 is 353 cents, which is what you get is you round off 5/4 to the closest location in 17-equal.  
The '''patent val''' (aka '''nearest edomapping''') for some EDO is the val that you obtain by finding the closest rounded-off approximation to each [[prime]] in the tuning. For example, the patent val for 17-EDO is <17 27 39|, indicating that the closest mapping for 2/1 is 17 steps, the closest mapping for 3/1 is 27 steps, and the closest mapping for 5/1 is 39 steps. This means, if octaves are pure, that 3/2 is 706 cents, which is what you get if you round off 3/2 to the closest location in 17-equal, and that 5/4 is 353 cents, which is what you get is you round off 5/4 to the closest location in 17-equal.  


== Generalized patent val ==
== Generalized patent val ==