Apple has introduced a new free iOS app geared toward songwriters, Music Memos. The company sent out a press release and has also set up a webpage dedicated to the app. As Apple describes the app, Music Memos “can record any musical instrument through the iPhone’s built-in microphone in a high-quality, uncompressed format, then name, tag and rate it to start building a library of your ideas. The app can analyze rhythm and chords of acoustic…