Compare, side by side
The difference between 2700K and 3000K sounds trivial written down and is obvious in a room. Wipe between any two temperatures in the same scene — the only fair way to judge them.
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2700K vs 3000K
The most consequential 300 kelvin in residential lighting. Below roughly 2900K people describe light as 'yellow'; above it, as 'white but warm'. If your cabinets are white, that single word is the whole argument.
3000K vs 4000K
The line between residential and commercial. 4000K genuinely renders color better and feels brighter — and reads as an office to almost everyone. Use it where the work matters more than the mood.
5000K vs 6500K
Both get sold as 'daylight' and they are not close. 5000K is midday sun and the color-matching standard; 6500K is an overcast sky and your monitor's white point. Buy on the number, never the word.