Table 3: Coefficients of the general relation $<K> = a ~ {\rm Log} P_{\rm o} + b$ . Values in parentheses are the uncertainties; "int'' and "mag'' indicate where intensity- and magnitude-weighted average magnitudes respectively have been used.
Region Gradient $_{\rm int}$ Zero point $_{\rm int}$ Gradient $_{\rm mag}$ Zero point $_{\rm mag}$ Comment

a b a b

Inner -2.42 (0.16) 14.04 (0.05) -2.40 (0.17) 14.04 (0.05) this study

Outer - - -2.38 (0.15) 13.93 (0.04) new analysis of L90 data, excluding Blazhko variables

Outer - - -2.35 (0.14) 13.95 (0.04) new analysis of L90 data, including Blazhko variables

Outer - - -2.35 (0.15) 13.95 (0.04) L90 included Blazhko variables

**Table 3:** Coefficients of the general relation $<K> = a ~ {\rm Log} P_{\rm o} + b$ . Values in parentheses are the uncertainties; "int'' and "mag'' indicate where intensity- and magnitude-weighted average magnitudes respectively have been used.
Region	Gradient $_{\rm int}$	Zero point $_{\rm int}$	Gradient $_{\rm mag}$	Zero point $_{\rm mag}$	Comment
	a	b	a	b
Inner	-2.42 (0.16)	14.04 (0.05)	-2.40 (0.17)	14.04 (0.05)	this study
Outer	-	-	-2.38 (0.15)	13.93 (0.04)	new analysis of L90 data, excluding Blazhko variables
Outer	-	-	-2.35 (0.14)	13.95 (0.04)	new analysis of L90 data, including Blazhko variables
Outer	-	-	-2.35 (0.15)	13.95 (0.04)	L90 included Blazhko variables

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