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Joseph Schillinger's "Key Blue (from series, the Mathematical Basis of the Arts)," created circa 1934, represents a significant fusion of mathematical precision and artistic expression. This painting is part of Schillinger’s broader exploration into the intersection of mathematics and visual aesthetics, embodying the artist’s innovative approach and theoretical contributions to the art world.

"Key Blue" is a geometric abstraction that showcases a meticulous arrangement of shapes and colors, reflecting Schillinger's deep engagement with mathematical principles. The composition is primarily oriented around a striking blue hue, which dominates the visual field and acts as the central motif, hence the title. This key shade of blue is juxtaposed with well-balanced forms, such as precise circles, triangles, and rectangles, each varying in size and proportion.

The painting is governed by an underlying grid structure, a manifestation of Schillinger’s commitment to systematic order and symmetry. The grid is subtly implied rather than explicitly outlined, guiding the viewer's eye through a harmonious yet complex array of spatial relationships. Within this framework, the artist utilizes gradient transitions and color variations to create a dynamic sense of depth and movement.

Schillinger's use of color theory is evident in "Key Blue"; the play of light and dark tones within the blue spectrum suggests a nuanced understanding of chromatic interaction. This careful modulation of color produces an almost rhythmic visual experience, which aligns with Schillinger's broader interest in creating visual counterparts to musical compositions.

As of my knowledge cutoff date in October 2023, there isn’t specific and accessible public information about the current location of this particular painting, "Key Blue," in established museum collections. Thus, it would be prudent to check with contemporary exhibition catalogs or recent acquisitions for the most updated details.

Joseph Schillinger (1895-1943) was not only a visual artist but also a composer, music theorist, and educator. Born in Kharkiv, Ukraine, Schillinger emigrated to the United States where he developed his influential system of mathematical composition, widely known as the Schillinger System. This method sought to codify and apply mathematical principles to creative practices across music, the visual arts, and other domains.

"Key Blue" fits into Schillinger’s ongoing mission to bridge the gap between the sciences and the arts. During the 1930s, Schillinger was deeply involved in visual arts, experimenting with how mathematical formulas could dictate artistic compositions, thus contributing to the broader modernist movement which often sought to find harmony between science, industry, and art.

In the context of Schillinger’s career, this painting exemplifies his unique interdisciplinary approach. Unlike some of his contemporaries who adhered to more traditional or purely aesthetic sensibilities, Schillinger was keenly interested in the cerebral and structural aspects of art-making. His theories influenced notable figures in various fields, including the likes of George Gershwin in music and others in visual arts, demonstrating a wide-reaching impact.

- Interdisciplinary Influence: Schillinger’s work, including "Key Blue," reflects his belief in the universal applicability of mathematical principles to all forms of creativity.
- Geometric Precision: The painting is an exercise in geometric abstraction and is a visual representation of Schillinger's theoretical work.
- Innovative Methods: Schillinger’s approach to art was pioneering for its time, predating and perhaps influencing aspects of later movements such as Op Art and Minimalism.

As an expert in the field, it is safe to say that "Key Blue" is a testament to Joseph Schillinger’s enduring legacy, combining the rigor of mathematics with the freedom of artistic exploration, embodying a unique synthesis that continues to intrigue and inspire the world of art and beyond.