$$\begin{aligned}
    &&\hspace{-24pt}AW\big(Q_2,\,0,\,0,\,0,\,-Q^*_2{}^2,\,-Q_1^*{}^2\!\left(S^*r+Q_{d+1}r^{-1}\right),\nonumber\\
    &&Q_1Q_1^*{}^2,\, Q_1Q_1^*{}^2\!\left(S^*r^{-1}+Q_{d+1}r\right)\big).\end{aligned}$$

-   For the dual $q$-Hahn case: $$\begin{aligned}
    &&\hspace{-24pt}AW\big(Q_2,\,0,\,0,\,-Q^*_2{}^2,\,0,\,-Q_1^*{}^2\!\left(S\,r+Q_{d+1}r^{-1}\right),
    \nonumber\\ &&\qquad
    Q_1Q_1^*{}^2\!\left(S\,r^{-1}\!+Q_{d+1}r\right),\,Q_1Q_1^*{}^2\big).\end{aligned}$$

-   For the $q$-Krawtchouk case: $$\begin{aligned}
    AW\big(Q_2,\,0,\,0,\,0,\,-Q_2^*{}^2,\,-Q_1^*{}^2S^*,\,0,\,Q_1Q_1^*{}^2Q_{d+1}\big).\end{aligned}$$

-   For the dual $q$-Krawtchouk case: $$\begin{aligned}
    AW\big(Q_2,\,0,\,0,\,-Q_2^*{}^2,\,0,\,-Q_1^*{}^2S,\,Q_1Q_1^*{}^2Q_{d+1},\,0\big).\end{aligned}$$

-   For the quantum $q$-Krawtchouk and affine $q$-Krawtchouk cases: $$\begin{aligned}
    AW\big(Q_2,\,0,\,0,\,0,\,0,\,-Q_1^*{}^2\!\left(r^2+Q_{d+1}r^{-1}\right),\,
    Q_1Q_1^*{}^2,\,Q_1Q_1^*{}^2\big).\quad\end{aligned}$$

[[**Proof.** ]{}]{}Transform the Askey-Wilson relations in Lemma \[awnormals\] with the same substitutions and affine scalings as in the previous proof. In the notation of this lemma, the expressions $S,S^*,R,Q,K,K^*$ of Lemma \[awnormals\] get replaced by, respectively, $S/s$, $S^*/s^*$, $R/q^{d+1}s\,s^*$, $q^{d+1}Q_{d+1}$, $-q^2Q_2^*{}^2$ and $q^{-2d}Q_1^*{}^2$. [$\Box$]{}

Other parameter arrays {#otherpararrays}
======================

Here we present normalizations of the remaining general parameter arrays in [@terwgen Section 35]. The corresponding Askey-Wilson relations are normalized according to Lemma \[normrules\], and two nonzero values are constants. Since we generally assume that char ${{\Bbb K}}\neq 2$, the orphan case is missing in the lemmas below. It is briefly discussed in Remark \[orphan\].

\[normlps2\] The parameter arrays in [[@terwgen Examples 35.9–35.13]]{} can be normalized by affine transformations $(\ref{scalingtr})$ to the following forms:

-   The Racah case: $\theta_i=(i+u)(i+u+1)$, $\theta^*_i=(i+u^*)(i+u^*+1)$, $$\begin{aligned}
    \varphi_i{&\!\!\!=\!\!\!&}i\,(i-d-1)\,(i+u+u^*-v)\,(i+u+u^*+d+1+v),\\
    \phi_i{&\!\!\!=\!\!\!&}i\,(i-d-1)\,(i-u+u^*+v)\,(i-u+u^*-d-1-v).\end{aligned}$$

-   The Hahn case: $\theta_i=i+v-\frac{d}2$, $\theta^*_i=(i+u^*)(i+u^*+1)$, $$\begin{aligned}
    \varphi_i{&\!\!\!=\!\!\!&}i\,(i-d-1)\,(i+u^*\!+2v),\\
    \phi_i{&\!\!\!=\!\!\!&}-i\,(i-d-1)\,(i+u^*\!-2v).\end{aligned}$$

-   The dual Hahn case: $\theta_i=(i+u)(i+u+1)$, $\theta^*_i=i+v-\frac{d}2$, $$\begin{aligned}
    \varphi_i{&\!\!\!=\!\!\!&}i\,(i-d-1)\,(i+u+2v),\\
    \phi_i{&\!\!\!=\!\!\!&}i\,(i-d-1)\,(i-u+2v-d-1).\end{aligned}$$

-   The Krawtchouk case: $\theta_i=i-\frac{d}2$, $\theta^*_i=i-\frac{d}2$, $$\begin{aligned}
    