How many songs did Frank Sinatra write in his life?

Sinatra is shown with composer credits on seven songs (on which he actually contributed lyrics):

* I'm A Fool To Want You (m-Joel Herron, w-Jack Wolf & Frank Sinatra) 1952 * Mistletoe And Holly (m/w-Dok Stanford, Hank Sanicola & Frank Sinatra) 1957 * Mr. Success (m-Edwin Greines, w-Hank Sanicola & Frank Sinatra) 1958 * Peachtree Street (m/w-Jimmy Saunders & Frank Sinatra) 1950 * Shelia (m/w-Christopher Hayward, Frank Sinatra & Robert Staver) 1950 * Take My Love (m-Joel Herron, w-Jack Wolf & Frank Sinatra) 1950 * This Love Of Mine (m/w-Sol Parker, Hank Sanicola & Frank Sinatra) 1941