The OT is a TaNaKh according to Rabbinical Talmudic Judaism. The OT is not divided into three divisions. It in one complete document. For Christians, that includes the NT - all 66 books are altogether one inspired Scripture.
They are not different. They contain the exact same books, the division is one put there by man, not by God.
There was no division known as the "TaNaKh" until the Talmud divided it in order to come up with reading cycles. You don't seem to understand that the Talmud is NOT Scripture, does not support Scripture, is not inspired, cannot give us any information on how to define the OT, is a complete work of man, not given by God, not endorsed by God. You are promoting a writing that rejects Jesus Christ, while professing to be follower of Jesus. It does not make sense. You are trying to blend non-Christian ideas and concepts with the Bible. All you end up doing is contaminating the purity of God's Word.
I am not talking about the Talmud. I own a TaNaKh. You can learn about Jesus from the TaNaKh.
See:
The TaNaKh - English Book Names
Which came first? The TaNaKh or the Old Testament?
Old Testament
You can study both the TaNaKh and the New Testament. There is the Jewish Bible, the Hebrew Bible, the Christian Bible, the Bible. Do you study the Jewish New Testament? The terms Old Testament and New Testament refer to scripture. The old covenant is spoken of in the Torah. It is the covenant God made with the nation of Israel at Mount Sinai. The new covenant is spoken of in Jeremiah. Read Jeremiah 31:31-34 NASB.
Jeremiah 31:31-34 NASB - 31 "Behold, days are coming," declares the LORD, "when I will make a new covenant with the house of Israel and with the house of Judah, 32 not like the covenant which I made with their fathers in the day I took them by the hand to bring them out of the land of Egypt, My covenant which they broke, although I was a husband to them," declares the LORD. 33 "But this is the covenant which I will make with the house of Israel after those days," declares the LORD, "I will put My law within them and on their heart I will write it; and I will be their God, and they shall be My people. 34 "They will not teach again, each man his neighbor and each man his brother, saying, 'Know the LORD,' for they will all know Me, from the least of them to the greatest of them," declares the LORD, "for I will forgive their iniquity, and their sin I will remember no more."
The Israel Bible. Jeremiah 31:31-34.
Jeremiah 31:31 NASB - 31 "Behold, days are coming," declares the LORD, "when I will make a new covenant with the house of Israel and with the house of Judah,
Luke 22:20 NASB - 20 And in the same way He took the cup after they had eaten, saying, "This cup which is poured out for you is the new covenant in My blood.
1 Corinthians 11:25 NASB - 25 In the same way He took the cup also after supper, saying, "This cup is the new covenant in My blood; do this, as often as you drink it, in remembrance of Me."
2 Corinthians 3:6 NASB - 6 who also made us adequate as servants of a new covenant, not of the letter but of the Spirit; for the letter kills, but the Spirit gives life.
Hebrews 8:8, 13 NASB - 8 For finding fault with them, He says,"BEHOLD, DAYS ARE COMING, SAYS THE LORD,WHEN I WILL EFFECT A NEW COVENANTWITH THE HOUSE OF ISRAEL AND WITH THE HOUSE OF JUDAH; ... 13 When He said, "A new covenant," He has made the first obsolete. But whatever is becoming obsolete and growing old is ready to disappear.
Hebrews 9:15 NASB - 15 For this reason He is the mediator of a new covenant, so that, since a death has taken place for the redemption of the transgressions that were committed under the first covenant, those who have been called may receive the promise of the eternal inheritance.
Hebrews 12:24 NASB - 24 and to Jesus, the mediator of a new covenant, and to the sprinkled blood, which speaks better than the blood of Abel.