Machar Chodesh deals with the idea of Bittul as a preparation for being born anew with a new Ohr called Moled.
The Bittul is in Dovid and the new light comes from Yehonoson (and even from Shaul- Bina).
This particular Machar Chodesh adds the idea that the Bittul is only whole when machar chodesh is Shabbos [and the Lunar cycle (change) and the weekly cycle (constancy) are aligned]. This shows on an even more complete Bittul.
[A similar idea applies on Rosh Chodesh and Shabbos].