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Nedarim 1:2 lists several kinnuyim, alternate expressions you can use for making a neder.
In the Ashkenazi version of Kol Nidrei that I'm familiar with as well as the Nusach Sefarad one I found on Sefaria, we explicitly mention two of these, קונמי and קנוסי, as well as כנויי to catch the rest.
Once we say כנויי, why do we need קונמי and קנוסי at all? And, given that we do say those, why don't we say קונחי and the rest of them?
In this 19th century Nusach Sefarad Machzor with Yidish instruction, the commentary at the bottom indicates that the word קנוסי is actually reffering to a קנס - Monetory fine, that one imposes upon oneself which he is not legally obligated to pay. Accordingly it is not referring to a Kinnui (Variation) of "קונם" which is a vow rendering an object forbidden, rather an exclusively monetory acceptance. Note that it would be spelt קונסי with the Vav before the Nun had it been the Kinui of קונמי.
