Quick answer: No, Liquid Notes doesn't require any Internet connection to work.
Offline ApplicationLiquid Notes doesn't require an Internet connection. Ever since version 1.2 of the software we have taken the harmony analysis to your desktop, i.e. all features are now available offline on your desktop. When you download Liquid Notes, the installation package comes with all necessary files included (client, synth, demo music, handbooks, etc.).
If you are still running an older version of Liquid Notes please find the most recent software for download at www.re-compose.com/customer-support-for-recompose-products.html#file-download-liquid-notes.