The resulting orbifold is naturally stratified by repeated tones (properly, by integer partitions of "t") – the open set consists of distinct tones (the partition formula_86), while there is a 1-dimensional singular set consisting of all tones being the same (the partition formula_87), which topologically is a circle, and various intermediate partitions. There is also a notable circle which runs through the center of the open set consisting of equally spaced points. In the case of triads, the three side faces of the prism correspond to two tones being the same and the third different (the partition formula_88), while the three edges of the prism correspond to the 1-dimensional singular set. The top and bottom faces are part of the open set, and only appear because the orbifold has been cut – if viewed as a triangular torus with a twist, these artifacts disappear.