## 1 Introduction
[PERSON], [PERSON], [PERSON], [PERSON], [PERSON], [PERSON], [PERSON] and [PERSON] are some researchers involved in the development of the Wavelet Transform and the Scale-space theory; a field devoted to the representation and processing of signals. In this field, the scale represents a parameter used to define the \"degree of smoothing\" applied to the processed signals. This processing discards fine details as well as coarser information, thus acting as a filter which results useful for information-compression purposes and mathematical modeling. Enhancing the observation of a system's description has been typically restricted to the grouping of information-elements into spaces topologically congruent. This approach has proved to be of limited utility because it restricts the effects of varying parameters within the process of interpreting descriptions. Complex systems offer difficulty to the recognition of all their components. Depending on the focus of the observer, some parts of the system may be recognized as elements while other parts may be shadowed. Additionally, the frontier separating the perceived elements may not be clearly defined due to overlapping, or on the contrary, due to empty or meaningless sectors, which do not add information to the perceived system's description. Whatever the situation is, the observer decides which are the elements forming his or her interpretation. When the observer associates some sectors of the description with some meaning or logical pattern, he or she decides which are symbols representing the elements forming his interpretation of the observed description. Thus, the selection of the symbols which integrate the description is a crucial step in interpretation process. Considering the number of symbols and their size is closely related with the concept of scale. Thus, there seems to be a link between the meaning of scale and the set of symbols participating in the interpretation of a descriptive process. This paper offers a novel conception of scale, pointing out clear differences with the concepts of resolution and scope. Several experiments using descriptions of diverse nature are used to apply our conception of scale, resolution and scope. The impact of interpreting these descriptions at several scales is evaluated for each of these experiments. Among the possible ways of looking at a system's description, there is one we give special attention to: The Fundamental Scale. Initially introduced by [PERSON] and [PERSON] [9], the Fundamental Scale is the scale at which an observation can be interpreted with minimal entropy. Some formalization of the concept of Fundamental Scale, is also an objective of this paper. This study is organized as follows:  
* Sections 2 and 3. Proposal about scale, scope and resolution. These sections present definitions and intuitive notions of scale, resolution and scope, valid for multidimensional descriptions. The concept of the alphabet, as a set of elementary symbols, is also included in these sections. * Section 4. The interpretation process is hypothesized over the selection of symbols with the criterion of minimizing the description's entropy, computed over a written version of the message. * Section 5. The proposed concepts of scale, resolution and scope are used to evaluate descriptions of different nature. Five experiments are performed to evaluate the information content of each experiment's description seen at different scales of observation. * Sections 6 and 7. Discussion and conclusions about the implications of the proposed meaning of scale and the interpretation process are presented.