That is exactly right.

In the biblical tradition, Pentecost (known in Hebrew as Shavuot, שָׁבוּעוֹת, or the Feast of Weeks) holds a powerful dual significance—both historically at Mount Sinai and later in the New Testament.

1. The Giving of the Torah (Z’man Matan Torateinu)
The Timing (Counting the Omer): Leviticus 23:15–16 commands the counting of 50 days (seven full weeks plus one day) starting from the Feast of Firstfruits during Passover week. The Greek word Pentēkostē literally translates to "fiftieth."

The Revelation at Mount Sinai (Exodus 19–20): Fifty days after the Israelites were delivered from Egypt on Passover, they arrived at the base of Mount Sinai. There, amid thunder, lightning, smoke, and the sound of a heavenly trumpet, God gave Moses and the nation the Torah (the Law/Instruction) and the Ten Commandments.

The Covenant Sealed: Passover brought physical freedom from bondage in Egypt; Shavuot/Pentecost gave that freedom spiritual purpose and moral direction through the Covenant.

2. Agricultural Roots (The Wheat Harvest)
Along with Passover (barley harvest) and the Feast of Tabernacles (fruit/grape harvest), Shavuot is one of the Three Pilgrimage Festivals (Shalosh Regalim).

It marked the conclusion of the spring harvest, celebrated by presenting an offering of two loaves of leavened wheat bread (Shtei HaLechem) at the Temple (Leviticus 23:17).

3. The New Testament Fulfillment (Acts 2)
In the New Testament, the timing of Pentecost bridges the Old and New Covenants:

The Outpouring of the Holy Spirit: Exactly 50 days after the resurrection of Christ (Firstfruits), while the disciples were gathered in Jerusalem celebrating Shavuot, the Holy Spirit descended with the sound of a rushing wind and tongues of fire (Acts 2:1–4).

Law Written on the Heart:

At Sinai, the Law was written by the finger of God on tablets of stone (Exodus 31:18).

At Pentecost in Acts, the Law was written by the Spirit on human hearts (fulfilling Jeremiah 31:33 and Ezekiel 36:26–27).

Summary Comparison

Dimension Old Testament (Shavuot) New Testament (Pentecost)
Timing 50 days after Passover / Exodus 50 days after the Resurrection

Manifestation Fire and smoke upon the mountain Tongues of fire upon the believers

Gift Given The Torah / Law on stone The Holy Spirit / Law in the heart

Theme Birth of the nation of Israel as a covenant people Birth of the New Testament Church