Get the actual number of comments + replies per page, WP comments_per_page is really top-level comments only: allows you to identify 1-12 of 13, etc for comments count UI instead of mistakenly labeling page 1 as 1-10

comment-count.php

<?php

function get_cpage_comment_count() {
    $counter = $start = 0;
    wp_list_comments( array( 'callback' => function ( $comment ) use ( &$counter, &$start ) {
        global $wpdb;
        if ( 0 === $counter ) {
            $sql = $wpdb->prepare( 
                "SELECT COUNT(comment_ID) FROM {$wpdb->comments} 
                WHERE comment_approved = 1 AND 
                comment_post_ID = %d AND 
                comment_ID <> %d AND 
                ((comment_ID > %d AND comment_parent <= %d AND comment_parent > 0) OR 
                (comment_ID < %d AND comment_parent <= %d))",
                $comment->comment_post_ID,
                $comment->comment_ID,
                $comment->comment_ID,
                $comment->comment_ID,
                $comment->comment_ID,
                $comment->comment_ID          
            );
            $start = $wpdb->get_var( $sql );
        }
        $counter++;
    } ) );
    return compact( 'counter', 'start' );
}

global $emusic_comment_pagination;
$emusic_comment_pagination = null;
function comment_pagination() {
    global $emusic_comment_pagination;

if ( get_comment_pages_count() > 1 && get_option( 'page_comments' ) ) :     
    if ( $emusic_comment_pagination ) {
        echo $emusic_comment_pagination;
        return;
    }
    
    ob_start();
    $page = (int) max( 1, get_query_var( 'cpage' ) );
    $pages = (int) get_comment_pages_count();
    $counts = get_comment_count( get_the_ID() ); 
    $paged_counts = get_cpage_comment_count();
?>
    <div class="comment-pagination">
        <?php if ( 1 < $pages && $page !== $pages ): 
            ?><div class="comment-next"><?php next_comments_link( ' ' ); ?></div>
        <?php endif;
        
        if ( 1 < $page ): 
            ?><div class="comment-prev"><?php previous_comments_link( ' ' ) ?></div>
        <?php endif ?>    
        <div class="comment-pages"><?php 
            
            printf( 
                '%d-%d of %d %s', 
                1 === $page ? 1 : ( $paged_counts['start'] + 1 ), 
                min( $counts['approved'], ( 1 === $page ? 0 : $paged_counts['start'] ) + $paged_counts['counter'] ), 
                $counts['approved'],
                1 === $page ? ' &nbsp;&nbsp;View More ' : ''
            ) ?></div>
    </div>
<?php 
    $emusic_comment_pagination = ob_get_clean();
    echo $emusic_comment_pagination;
endif;  
}