The song of the day for Shabbos is מזמור שיר ליום השבת. Yet it doesn’t seem to mention Shabbos at all! Why is this?
Also, why does this Tehillim refer to a specific day of the week at all?
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The Brisker Rov in his second piece on Chumash asks and answers your question.
My understanding of his answer is, that this was said by Adam on the first Shabbos. He was praising the complete creation of the world and all it's details, which was realized only when Shabbos started. That is why it is a Mizmor for the Shabbos day.
Rav Hutner explains that the Chumash tells us Hashem saw all He created was good, and then rested and sanctified the Seventh Day as Shabbos. Likewise, we celebrate Shabbos with the understanding that everything Hashem does in This World is good. Therefore, the second pasuk in perek 92 states, “It’s good to thank Hashem…” The whole chapter continues with this theme of goodness, wherein Hashem punishes the wicked and the righteous flourish.