Two men named Heman appeared in the Bible, both Semites.
Jacob > Judah > Zerah > Heman (before Solomon's reign)
1 Chronicles 2:1-6:
1. These were the sons of Israel: Reuben, Simeon, Levi, Judah, Issachar, Zebulun,
2. Dan, Joseph, Benjamin, Naphtali, Gad and Asher.
3. The sons of Judah: Er, Onan and Shelah. These three were born to him by a Canaanite woman, the daughter of Shua. Er, Judah's firstborn, was wicked in the LORD's sight; so the LORD put him to death.
4. Tamar, Judah's daughter-in-law, bore him Perez and Zerah. Judah had five sons in all.
5. The sons of Perez: Hezron and Hamul.
6. The sons of Zerah: Zimri, Ethan, Heman, Calcol and Darda --five in all.
1 Kings 4:31 (in regards to Solomon's wisdom): (Mahol apparently is another name for Zerah)
31. He was wiser than any other man, including Ethan the Ezrahite--wiser than Heman, Calcol and Darda, the sons of Mahol. And his fame spread to all the surrounding nations.
Psalm 88 and 89 call Ethan and Heman Ezrahites. Both are also sons of Zerah. So, perhaps there was a town named Ezra/Ezrah where they lived.
Jacob > Levi > Kohath > Izhar > Korah > Ebiasaph > Assir > Tahath > Zephaniah > Azariah >
Joel > Elkanah > Amasai > Mahath > Elkanah > Zuph > Toah > Eliel > Jeroham > Elkanah > Samuel > Joel > Heman
(during king David's reign)
There were many more references to the Levite named Heman because he was assigned as a musician and was known as a seer (prophet) for king David. He also had 14 sons and 3 daughters.
1 Chronicles 6:33-39:
33. Here are the men who served, together with their sons: From the Kohathites: Heman, the musician, the son of Joel, the son of Samuel,
34. the son of Elkanah, the son of Jeroham, the son of Eliel, the son of Toah,
35. the son of Zuph, the son of Elkanah, the son of Mahath, the son of Amasai,
36. the son of Elkanah, the son of Joel, the son of Azariah, the son of Zephaniah,
37. the son of Tahath, the son of Assir, the son of Ebiasaph, the son of Korah,
38. the son of Izhar, the son of Kohath, the son of Levi, the son of Israel;...
39. and Heman's associate Asaph, who served at his right hand: Asaph son of Berekiah, the son of Shimea,
1 Chronicles 15:16-19:
16. David told the leaders of the Levites to appoint their brothers as singers to sing joyful songs, accompanied by musical instruments: lyres, harps and cymbals.
17. So the Levites appointed Heman son of Joel; from his brothers, Asaph son of Berekiah; and from their brothers the Merarites, Ethan son of Kushaiah;
18. and with them their brothers next in rank: Zechariah, Jaaziel, Shemiramoth, Jehiel, Unni, Eliab, Benaiah, Maaseiah, Mattithiah, Eliphelehu, Mikneiah, Obed-Edom and Jeiel, the gatekeepers.
19. The musicians Heman, Asaph and Ethan were to sound the bronze cymbals;
1 Chronicles 16:41-42:
41. With them were Heman and Jeduthun and the rest of those chosen and designated by name to give thanks to the LORD, "for his love endures forever."
42. Heman and Jeduthun were responsible for the sounding of the trumpets and cymbals and for the playing of the other instruments for sacred song. The sons of Jeduthun were stationed at the gate.
1 Chronicles 25:1-6:
1. David, together with the commanders of the army, set apart some of the sons of Asaph, Heman and Jeduthun for the ministry of prophesying, accompanied by harps, lyres and cymbals. Here is the list of the men who performed this service:
2. From the sons of Asaph: Zaccur, Joseph, Nethaniah and Asarelah. The sons of Asaph were under the supervision of Asaph, who prophesied under the king's supervision.
3. As for Jeduthun, from his sons: Gedaliah, Zeri, Jeshaiah, Shimei, Hashabiah and Mattithiah, six in all, under the supervision of their father Jeduthun, who prophesied, using the harp in thanking and praising the LORD.
4. As for Heman, from his sons: Bukkiah, Mattaniah, Uzziel, Shubael and Jerimoth; Hananiah, Hanani, Eliathah, Giddalti and Romamti-Ezer; Joshbekashah, Mallothi, Hothir and Mahazioth.
5. All these were sons of Heman the king's seer. They were given him through the promises of God to exalt him. God gave Heman fourteen sons and three daughters.
6. All these men were under the supervision of their fathers for the music of the temple of the LORD, with cymbals, lyres and harps, for the ministry at the house of God. Asaph, Jeduthun and Heman were under the supervision of the king.