It should always be remembered that commas in English are a matter of style. Let me restate that: It should always be remembered that commas, in English, are a matter of style.
Sometimes that style clarifies a sentence; sometimes it is just window-dressing; and sometimes it downright gets in the way.
Consider James Joyce's omission of commas from a string of adjectives in this passage from his story "Counterparts" in Dubliners:
The men asked him to give his version of it, and he did so
with great vivacity for the sight of five small hot whiskies
was very exhilarating.
Does this cause any confusion? I think we can agree it does not. There were five whiskies on the bar; they were small, and they were hot.
Generally speaking, a list of adjectives is normally separated by commas:
Our Earth is a small, spinning, watery, blue planet.
Note, however, that in the above sentence the last comma seems superfluous, almost out of place. We could easily write the sentence thus:
Our earth is a small, spinning, watery blue planet.
Now, if James Joyce had chosen to write the sentence, perhaps he would have dropped the commas altogether:
Our earth is a small spinning watery blue planet.
Perhaps that looks strange, but can you say that it is any less clear than the others?
But what about rules?
This still doesn't help us, though, in formal writing, especially in academic situations. Your teacher or professor may be a fussbudget who will mark you off for writing the Joycean sentence above. So it is good to understand that there are two kinds of adjectives we use when stacking them: coordinate adjectives and cumulative adjectives. Here is one reference from the English Grammar 101 website:
Definition: Coordinate adjectives modify nouns in similar ways. They describe similar features. Most coordinate adjectives are adjectives of opinion or evaluation. Commas must be used between coordinate adjectives.
That frightening, monstrous creature under the bridge is a troll.
Definition: Cumulative adjectives build upon each other and must be in a certain order. They are equally important and give different types of information. Do not use commas between cumulative adjectives.
Two tall pillars were used to form the entrance to Stonehenge.
This is why we can write the following without commas:
From her pocket she produced a small yellow poker chip and placed it on the table.
Were we to use commas it would make the sentence cumbersome:
From her pocket she produced a small, yellow, poker chip and placed it on the table.
Note too that the noun here is compound. We are not talking about a plain chip, we are talking about a poker chip.
I hope you can see now that it is irrelevant whether there are two or three adjectives. You have to determine what kind of adjectives they are to discover whether to use commas. (As others have noted, never put a comma between the final adjective in a list and the noun being modified.)
- It was a bright, sunny, day. [Wrong!]