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All art consists of interpretive and conceptual creativity. Interpretive artists focus on art forms of the past, and conceptual artists, on the future. If Western music is to transcend 12-tone equal temperament — or the standard tunings of keyboard instruments — the subject of musical mathematics will again become essential. However, all mathematical thoughts and equations are governed by thresholds, beyond which they no longer hold true. Consequently, we must also rely on our experiences and sense perceptions to transform two-dimensional concepts on paper into three-dimensional realities in materials. |