Patent val: Difference between revisions
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Thus, the way to get the ''p''-limit patent val for ''N''-EDO is to multiply {{val| 1 1.585 2.322 2.807 … log<sub>2</sub>''p'' }} by ''N''. Then, since you can't take fractional steps in an EDO, you round the results to the nearest integers. | Thus, the way to get the ''p''-limit patent val for ''N''-EDO is to multiply {{val| 1 1.585 2.322 2.807 … log<sub>2</sub>''p'' }} by ''N''. Then, since you can't take fractional steps in an EDO, you round the results to the nearest integers. | ||
== | == Examples == | ||
=== Example for 12edo === | |||
Multiplying 12 times {{val| 1 1.585 2.322 2.807 3.459 }} | Multiplying 12 times {{val| 1 1.585 2.322 2.807 3.459 }} | ||
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which is the ''11-limit patent val for [[12edo]]''. | which is the ''11-limit patent val for [[12edo]]''. | ||
== | === Alternate and expanded example for 31edo === | ||
As stated above, the val contains the number of steps it takes to get to a given prime number, in prime number order: | As stated above, the val contains the number of steps it takes to get to a given prime number, in prime number order: | ||
{{val| | {{val| [2/1] [3/1] [5/1] [7/1] [etc.] }} | ||
By definition, for any EDO, the number of steps to 2/1 is the EDO division: 31 for 31 EDO. The 2-limit patent val is {{val| 31 }}. | By definition, for any EDO, the number of steps to 2/1 is the EDO division: 31 for 31 EDO. The 2-limit patent val is {{val| 31 }}. | ||