Patent val: Difference between revisions

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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 [[patent interval|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.  
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.  


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