"Shiru laHashem shir chadash..." "Mizmor shir leYom haShabbat" Recently on Shabbat I put together some notes in a pleasing order, and used it as a zemer at our table. A guest was concerned that I was transgressing an issur of nolad. My understanding is that nolad involves physical creation. We may be inspired with chiddushim / novel Torah thoughts, make up stories to teach our children, and create new songs of praise to Hashem. Does anyone have sources to support or deny this?
Addendum: I am not asking for creative speculation or opinion based on similar sounding halachot, I'm asking for textual sources that address this question directly.