I'm trying to write a function that retrieves a list of WooCommerce orders which use a specified coupon code and are in a specified date range, then sums the total discounts applied to those orders.
After a little googling I feel like I should be using something like
$customer_orders = get_posts( array(
    'numberposts' => -1,
    'meta_key'    => ???,
    'meta_value'  => $CouponToSearchFor,
    'post_type'   => wc_get_order_types(),
    'post_status' => array_keys( wc_get_order_statuses() ),
) ); 
I've tried:
'meta_key' => 'coupon'
'meta_key' => 'shop_coupon'
'meta_key' => '_coupon'
But none of those work. How can I find out which meta_key/meta_value terms will give me what I need?
Additionally I think meta_query can be used to perform the date filtering as part of this get_posts() query, is that correct? 
Your code is not working because by default WooCommerce does't store used coupon code in
wp_postmetatable. It stores inwp_woocommerce_order_itemstable, underorder_item_type => couponandorder_item_name => YOUR_CODE.
You have to first get all the Order ID(s), then you have to loop it to get the desired total, or tax or discount.
Here is the code:
function wh_getOrderbyCouponCode($coupon_code, $start_date, $end_date) {
    global $wpdb;
    $return_array = [];
    $total_discount = 0;
    $query = "SELECT
        p.ID AS order_id
        FROM
        {$wpdb->prefix}posts AS p
        INNER JOIN {$wpdb->prefix}woocommerce_order_items AS woi ON p.ID = woi.order_id
        WHERE
        p.post_type = 'shop_order' AND
        p.post_status IN ('" . implode("','", array_keys(wc_get_order_statuses())) . "') AND
        woi.order_item_type = 'coupon' AND
        woi.order_item_name = '" . $coupon_code . "' AND
        DATE(p.post_date) BETWEEN '" . $start_date . "' AND '" . $end_date . "';";
    $orders = $wpdb->get_results($query);
    if (!empty($orders)) {
        $dp = ( isset($filter['dp']) ? intval($filter['dp']) : 2 );
        //looping throught all the order_id
        foreach ($orders as $key => $order) {
            $order_id = $order->order_id;
            //getting order object
            $objOrder = wc_get_order($order_id);
            $return_array[$key]['order_id'] = $order_id;
            $return_array[$key]['total'] = wc_format_decimal($objOrder->get_total(), $dp);
            $return_array[$key]['total_discount'] = wc_format_decimal($objOrder->get_total_discount(), $dp);
            $total_discount += $return_array[$key]['total_discount'];
        }
//        echo '<pre>';
//        print_r($return_array);
    }
    $return_array['full_discount'] = $total_discount;
    return $return_array;
}
Code goes in function.php file of your active child theme (or theme). Or also in any plugin php files.
USAGE
$orders = wh_getOrderbyCouponCode('my_code', '2016-09-17', '2016-10-07');
echo 'Total Discount : ' . $orders['full_discount'];
//print_r($orders);
Please Note:
All dates are in YYYY-MM-DD format.print_r(array_keys(wc_get_order_statuses())); will output something like this:
Array
(
    [0] => wc-pending
    [1] => wc-processing
    [4] => wc-on-hold
    [5] => wc-completed
    [6] => wc-cancelled
    [7] => wc-refunded
    [8] => wc-failed
)
Code is tested and works.
Hope this helps!
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