A warm bulb in one corner and a cooler lamp a few feet away can, if used with intent, highlight different functions. Used carelessly, it can cause every surface, piece of furniture, and skin tone to look different as you walk from spot to spot. Color temperature, measured in kelvin, defines if a white light looks warm and yellow, neutral, or cool and blue. It says nothing about the brightness or intensity of the lamp.
Put two portable lamps next to each other against one wall, and fit them with different color temperatures. Adjust them until their lumen output and beam angle are as similar as possible. Turn on just one at a time, and then both together. Stand back from a sheet of paper, wood, a piece of textile, and your own hand. You may think the differences seem small when the lamps are far apart, but the edge between the two becomes much more evident when the lamps are near. Do this test with a camera, not just with your eyes, and keep the camera settings consistent so they cannot auto-compensate and make the two light sources look the same.
It is common to use warm light in lounges, bedrooms, dining rooms, and other casual evening situations because the light is less demanding. Neutral light often works best in kitchens, worktops, bathrooms, and desks because color and form remain consistent. Cooler light can serve you well in some tasks, but it can clash next to warm decorative lighting. But these are general principles, not rules. How a lamp looks depends on the surface color, the daylight, how far away the lamp is, whether it has a shade or a dimmer, and your personal preferences.
A visual division is most likely where neighboring fixtures have noticeably different color temperatures for no clearly distinct reason. For example, a warm pendant on a desk is likely to feel at odds with a bank of cooler downlights. An LED strip inside a bookshelf is likely to make objects look very different from the wall lights around them. The packaging for a lamp is likely to look more similar than the kelvin values on different replacements, so it is best to check the printed specification, rather than looking at the lamp itself when it is switched off.
If you want two lights in the same room, start with one main color temperature and add a second only if it supports a different space or activity. You might need different switching groups to make that possible. For example, it may make sense if your task lighting has a different temperature from your evening floor lamp, especially if the two are rarely on at the same time. However, it is likely to be more coherent if both lamps are illuminating the same wall, same worktop, same face, or same seat. Color rendering index is another important thing to keep in mind, even with the same kelvin value two lamps can show colors differently.
Try checking your lighting after the daylight has gone, since natural light can make two very different electric sources look similar. Turn on the individual layers on their own, and then turn on the scenarios you are going to use. Be especially suspicious of sudden shifts on shared surfaces such as white walls, ceilings, mirrors, and glossy finishes. Before you buy your next replacement lamp, note down the kelvin value of all the sources already used in that area. Keeping a record of this small detail can make it easier to maintain a consistent palette, or to change it with a deliberate and considered purpose.