Am attempting to teach myself to program using Tcl. The task i've set myself to motivate my learning of Tcl is to solve the 8 queens problem. My approach to creating a program is to successively 'prototype' a solution.
I have asked an earlier question related to the correctly laying out the nested for loops and received a helpful answer.
To my dismay I find that the next development of my code creates the same interpreter error : "wrong # args"
I have been careful to have an open brace at the end of the line preceding the while loop command. I've also tried to put the arguments of the whileloop in braces. This generates a different error. I have sincerely tried to understand the Tcl syntax man page - not too successfully - suggested by the answerer of my earlier question. Here is the code

set allowd 1
set notallowd 0

for {set r1p 1} {$r1p <= 8} {incr r1p } {
    puts "1st row q placed at $r1p" 
    ;# re-initialize r2 'free for q placemnt' array after every change of r1 q pos:
    for {set i 1 } {$i <= 8} {incr i} { set r2($i) $allowd    }

    for { set r2($r1p) $notallowd ; set r2([expr $r1p-1]) $notallowd ;
            set r2([expr $r1p+1]) $notallowd ; set r2p 1}   {$r2p <= 8} {
            ;# 'next' arg of r2 forloop will be a whileloop :
            while  r2($r2p)== $notallowd  incr r2p } {
           puts "2nd row q placed at $r2p" ;# end of 'commnd' arg of r2 forloop   
    }
}

Where am I going wrong?

EDIT : to provide clear reply @slebetman
As stated in my text, I did brace the arguments of the whileloop (indeed that was how i first wrote the code) below is exactly the layout of the r2 forloop tried:

for { set r2($r1p) $notallowd ; set r2([expr $r1p-1]) $notallowd ;
        set r2([expr $r1p+1]) $notallowd ; set r2p 1}   {$r2p <= 8} {
        ;# 'next' arg of r2 forloop will be a whileloop :
        while { r2($r2p)== $notallowd } { incr r2p } } {
       puts "2nd row q placed at $r2p" ;# end of 'commnd' arg of r2 forloop   
}

but this generates the fatal interpreter error : "unknown math function 'r2' while compiling while { r2($r2p .... "