Patent val: Difference between revisions
Cmloegcmluin (talk | contribs) state explicitly that patent val assumes pure octaves, rather than merely imply it in places and state it indirectly in the GPV section |
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The '''patent val''' (aka '''nearest EDO-mapping''') for some EDO is the val that you obtain by finding the closest rounded approximation to each [[prime]] in the tuning, assuming octaves are pure (or in other words, assuming the EDO number is an integer). | The '''patent val''' (aka '''nearest EDO-mapping''') for some EDO is the [[val]] that you obtain by finding the closest rounded approximation to each [[prime]] in the tuning, assuming octaves are pure (or in other words, assuming the EDO number is an integer). | ||
For example, the patent val for 17-EDO is {{val| 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. | For example, the patent val for 17-EDO is {{val| 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. | ||