Your question was pretty clear (not sure why others answered with something you'd specifically wanted to exclude), and something I'd spent over an hour trying to find ...
This link was most helpful
http://www.timrosenblatt.com/blog/2008/03/21/insert-where-not-exists/
On mySQL 5.1.35 ...
mysql> CREATE TABLE testDupeSyntax (name varchar(10), place varchar(20) );
Query OK, 0 rows affected (0.13 sec)
mysql>
mysql> INSERT INTO testDupeSyntax SELECT 'mango1', 'mango2' FROM DUAL WHERE NOT
EXISTS( SELECT name FROM testDupeSyntax WHERE name='mango1' LIMIT 1 );
Query OK, 1 row affected (0.06 sec)
Records: 1 Duplicates: 0 Warnings: 0
mysql> SELECT * FROM testDupeSyntax;
+--------+--------+
| name | place |
+--------+--------+
| mango1 | mango2 |
+--------+--------+
1 row in set (0.00 sec)
mysql> INSERT INTO testDupeSyntax SELECT 'mango1', 'mango2' FROM DUAL WHERE NOT
EXISTS( SELECT name FROM testDupeSyntax WHERE name='mango1' LIMIT 1 );
Query OK, 0 rows affected (0.00 sec)
Records: 0 Duplicates: 0 Warnings: 0
mysql> SELECT * FROM testDupeSyntax;
+--------+--------+
| name | place |
+--------+--------+
| mango1 | mango2 |
+--------+--------+
1 row in set (0.00 sec)
mysql> INSERT INTO testDupeSyntax SELECT 'mango1', 'mango2' FROM DUAL WHERE NOT
EXISTS( SELECT name FROM testDupeSyntax WHERE name='mango1' AND place='mango2' LIMIT 1 );
Query OK, 0 rows affected (0.00 sec)
Records: 0 Duplicates: 0 Warnings: 0
mysql> SELECT * FROM testDupeSyntax;
+--------+--------+
| name | place |
+--------+--------+
| mango1 | mango2 |
+--------+--------+
1 row in set (0.00 sec)
mysql> INSERT INTO testDupeSyntax SELECT 'mango1', 'mango2' FROM DUAL WHERE NOT
EXISTS( SELECT name FROM testDupeSyntax WHERE name='mango1' AND place='mango3' LIMIT 1 );
Query OK, 1 row affected (0.05 sec)
Records: 1 Duplicates: 0 Warnings: 0
mysql> SELECT * FROM testDupeSyntax;
+--------+--------+
| name | place |
+--------+--------+
| mango1 | mango2 |
| mango1 | mango2 |
+--------+--------+
2 rows in set (0.00 sec)
mysql>