User:FloraC/Fokker analysis of rank-3 scales: Difference between revisions

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Over the years, the scale has been treated as a fixed structure up to modal rotation, yet this essay presents it as a different entity – it is a multilayer mechanism with variability.  
Over the years, the scale has been treated as a fixed structure up to modal rotation, yet this essay presents it as a different entity – it is a multilayer mechanism with variability.  


This kind of variability is notably featured by Arabic maqamat. A maqam is not a scale in the traditional sense, but a composite, with building blocks of ajnas flexibly put together. That is not to say scales should be framed like maqamat, but nonetheless, some inspirations can be drawn.  
This kind of variability is notably featured by Arabic maqamat. A maqam is not a scale in the traditional sense, but a composite, with building blocks of ajnas and associated melody patterns flexibly put together. That is not to say scales should be framed like maqamat, but nonetheless, some inspirations can be drawn.  


Specifically, a Fokker block can be viewed as a particular facet of a Fokker arena, defined by the chroma basis. A thorough exploration of such a scale thus includes both modal and domal rotation. The domes in an arena have been described as "disjoint" from each other, but here we observe it as another abstract layer of the same scale, an independent one of the modes.  
Specifically, a Fokker block can be viewed as a particular facet of a Fokker arena, defined by the chroma basis. A thorough exploration of such a scale thus includes both modal and domal rotation. Although the domes in an arena have been described as "disjoint" from each other, here we observe it as another abstract layer of the same scale, an independent one of the modes.  


This novel view of scales entails some changes to the related measures, as discussed below.  
This novel view of scales entails some changes to the related measures, as discussed below.


== Propriety and Stability Measures of Fokker Blocks ==
== Propriety and Stability Measures of Fokker Blocks ==