Telicity: Difference between revisions
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== K-Strong Telicity == | == K-Strong Telicity == | ||
While the telicity of EDOs with, say, only a single circle of fifths is independent, K-Strong Telicity is k times as strict as normal telicity, which is to say that for any two generating intervals A and B, A^n * B^m for nonzero integers n,m should by patent val consistently be mapped to the right interval in both N EDO and kN EDO so that the error is less than 50%/k of a step in N EDO. Note that this also requires that the mapping for intervals A and B in kN EDO should be the same as the mapping for them in N EDO, and of course that it requires all the other things needed for telicity by default. | While the telicity of EDOs with, say, only a single circle of fifths, is independent, K-Strong Telicity is k times as strict as normal telicity, which is to say that for any two generating intervals A and B, A^n * B^m for nonzero integers n,m should by patent val consistently be mapped to the right interval in both N EDO and kN EDO so that the error is less than 50%/k of a step in N EDO. Note that this also requires that the mapping for intervals A and B in kN EDO should be the same as the mapping for them in N EDO, and of course that it requires all the other things needed for telicity by default. | ||
== Applications == | == Applications == | ||