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Spaces is a algorithmic reverb plugin designed to let you model a square room of arbitrary dimensions and proportions.
To create the simulation Spaces uses a technique called "Digital Waveguide Network", this kind of reverb can simulate the audio reflections that happens naturally inside a closed space and the amount of diffusion you get from each of those reflections.
This algorithm is one of the most accurate way to simulate a room, a hall or any closed space, HoRNetSpaces focus on cubic rooms of various dimensions and proportions, since it's easy to create bad sounding rooms for convenience Spaces has three preset kind of rooms with fixed proportions known to sound good, we call them "small", "mid", and "large" because of the different ratios between height, width and length. When using one of the preset rooms changing the height control changes the other two dimensions according to the chosen room ratios.
Spaces is not meant to be an all round reverb, but a specific algorithm tailored at creating realistic rooms, halls and everything that has four walls, a ceiling and a floor that you can design using the custom room mode and the three sliders that control the height, width and length of the room. The size of the rooms determines the "room modes", frequencies at which the room resonates and that create the typical reverb of that specific space, the main frequencies of those modes (axial, tangential and oblique) are shown in the central display of the plugin.