Here's a link to:
Steve's translation.
He uses the term gate(s) a little further on in the text too: "Divide the gates by the name of Beth" and also: "Of Tau, the lives of the people [Thechiyieth Hamethiem] [are created]. Therefore, this is the gate to create the universe."
A "gate" is a special term in Merkabah/Kabbalah that is used to refer to letter combinations. Think of the Shaarai Orah (Gates of Light) by Gikatilla. Yes a different word for gate is used but I'm point to the fact that in Kabbalah the term has it own special meaning.
"…regarding “The Workings of the Chariot – Maaseh Merkavah- מעשה מרכבה ,” the word Merkavah-מרכבה-chariot is related to the word הרכבה-which means to combine or compose, referring to the combinations of letters, which carry meaning, just as the chariot carries its rider. Primarily, the methodology of Temurah-letter exchange, is referred to as Maaseh Merkavah-the Act of the Chariot or the act of combining the letters." ~ Joseph Gikatilla (Ginat Eroz).
On the Seven Palaces (in the world of Yetzirah) there are paths between the palaces (just as there are paths between the sephiroth of the Tree of Life) and the combination of letters from the paths and palaces make the "gates". For instance, the gate of the path Lamed is comprised of the Lamed itself and the palace of the Aleph and the palace of the Resh and so the gate is 231. They are also "openings" but they are guarded openings - the spirit (angel) of each letter guards the way - like a gate guards an opening. To have used the term "door" would have been far too confusing seeing that "doors" tend to refer to the Daleths, and
דלתות is a mnemonic with the value of 4. Thus the term "gate" was preferred. Also פתח begins with the letter Peh which is a mouth in pictograms, and God was literally speaking the worlds into existence so it seems appropriate in that sense too. But a gate may be a single letter in the world of Beriah.
When it comes to the first word of creation we see that it is 220:
בראשית
2 + 200 + 1 + 3 + 10 + 4 = 220.
ב = 2
2 x 10 = 20
20 x 10 = 200.
And with the reversal cipher the holy name is 220:
YHVH = כעסע
כעסע = 220
And directly:
התורה = 220
"Divide the gates by the name of Beth" [the name of the House?] has meaning whereas: "divide the opening by the name of Beth" doesn't.
If we are forming an opinion on whether "gate" is the right word for פתח then we should check a goodly sample of its usage in the rest of the book so we can assess the matter properly.