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To name the spirit, the god intones: "My name is [Yato]. Grasping thy true name, I bind thee here. With borrowed name, I dub thee my servant. The name answers, the vessel to sound. I call thee as my divine instrument. The name, [Yuki]. The vessel, [Setsu]. Come, [Sekki]!"

In the game, the above applies except that in the intonation the ‘true name' will be the shinki character's full regular name, seeing as they kept that with them coming into this world. The second will be the on-reading of the chosen kanji.

The words for naming a shinki are a spell, and should any of the words of the spell be changed (for example, trying to make the language more casual or omitting parts that sound too ornate) the naming will not work.
Whether you look at the fan translation or the official translation for the formula, the words must be the same.