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2,3,4,9-tetrahydro-7-methoxy-1-methyl-1H-pyrido[3,4-b]indole  9CI
is currently the preferred designation

Some of the other synonyms we have encountered in print

1,2,3,4,-tetrahydro-7-methoxy-1-methyl-β-carboline

1,2,3,4-tetrahydro-7-methoxy-1-methyl-9H-pyrido[3,4-b]indole

1,2,3,4-tetrahydroharmine

1,2-dihydroharmaline

6-methoxy-9-methyl-tryptoline

7-MeO-1-Me-THβC

7-MeO-THH    [TetraHydroHarmine]

7-methoxy-1-methyl-1,2,3,4-tetrahydro-β-carboline

7-methoxy-1-methyl-1,2,3,4-tetrahydro-9H-pyrido[3,4-b]indole

7-methoxy-1,2,3,4-tetrahydroharman

diidroarmalina

leptaflorina

leptaflorine

tetrahydroharmin

Тетрагидрогармин

tetraidroarmina

THH    [TetraHydroHarman]

Note: Several word above are simply different renderings of the same word. These are included to help readers using keyword searches.