Many of the answers we see here drive to the same answer. There's good reason for this: there is a physical equivalent for the 2 magic systems you seek in modern day science and technology. We indeed have our rituals and our arcane, though they come with different terminology.
Our "ritual magic" is forged by the rules of equilibrium thermodynamics. If you learned about thermodynamics in school, this is likely the version you learned. The idea is simple: everything wants to progress towards its lowest energy state. If you can adjust the chemicals and the apparatus such that the lowest energy state is the state you want, all you have to do is maintain that environment, and wait. As an example, consider the production of single-crystal silicon wafers which form the body of every integrated circuit you see. In the normal world, silicon is polycrystaline, meaning its made up of a bunch of silicon crystals all mashed together. However, if we can heat this silicon up past its melting point, then cool it just below its freezing point and introduce a single cooled silicon crystal near the top, thermodynamics will cause the bath to slowly crystalize onto this one seed crystal, creating a massive single crystal of silicon. This crystal is then diced into wafers, and the rest is history!
The key to this "ritual" approach is the presence of clearly defined steps, along with enough time in each step to ensure completion. In the above example, we first heated the silicon and gave it enough time to melt. If we heat it a little too long, that's fine, but we have to make sure we give it enough time. Then we let it cool. It can cool too long, that's fine, but we have to make sure it cools slow enough that the only crystal that forms is the one from the seed crystal. If you look in manufacturing, you can see countless processes which have multiple step. In between each step, the product is well defined and unchanging.
We leverage this for quality control. Because the product which goes between each stage of one of these processes is very well defined, we can model how small errors in each step can change the final product. We can introduce stabilizing steps which erase those small errors. We have a great deal of control, but it takes time. Every step has to be completed. If you get impatient, you can have a partial product that isn't quite what you wanted. That can be disastrous down the line.
The other approach to construction divines its power from non-equilibrium thermodynamics. We rarely learn about this kind of thermodynamics in school because, frankly, it's hard. In non-equilibrium thermodynamics, new steps start while the material is still changing from the previous steps. One must constantly be aware of what is going on inside the product, and adapt the steps to match.
My favorite example of this is glassblowing. Glassblowing is beautiful because it never stops, from the moment the glass is collected to the moment it enters the cooling kiln. If you watch a glass blower, they never let the glass stop moving. And you can watch them adjust their process as they go. Often the decorative designs one sees in glasswork stem from the glass doing something unexpected during working, and the glassworker had to work around it, turning this unexpected into something beautiful. We also see this in the art of blacksmithy, especially the advanced blacksmiths like those who produced Samurai swords. Their product is constantly changing as the carbon in the blade burns and the crystalline structure of the steel shifts.
In these two extremes, we see the heart of your magic system. The ritual side focuses on purity and taking the time to guarantee a complex outcome. The arcane side focuses on moving at the speed of the environment, and encourages adaptation.
Interestingly enough, once one becomes good at one approach, one tries to bridge the gap towards the other. Modern forging techniques are becoming more and more continuous, with more sensors to help adapt to the constantly changing environment. Modern glasswork prides itself on the ability to make a consistent product every time for sale, regardless of the environment that one produced in. Thus they can truly be seen as one continuum, if it were not for the very difficult point in the middle which is hard from both points of view.