Aberrismic theory: Difference between revisions
→Example: blackdye: Add note about mathematical formalization; clarify that ground calls blackdye interpretations having 13/11 and 14/11 as 3-steps "Flutterpyth blackdye". |
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Mathematically, this difference corresponds to choices of <math>\mathbb{Z}</math>-linear maps | Mathematically, this difference corresponds to choices of <math>\mathbb{Z}</math>-linear maps | ||
<math>\alpha : \mathbb{Z}^3\langle\mathbf{L}, \mathbf{m}, \mathbf{s}\rangle \to | <math>\alpha : \mathbb{Z}^3\langle\mathbf{L}, \mathbf{m}, \mathbf{s}\rangle \to \mathsf{JI}\langle 2, p_1, ..., p_s \rangle/\mathrm{ker}(T),</math> (where <math>T</math> is a temperament map in the 2.p<sub>1</sub>....p<sub>s</sub> subgroup) determined by differing choices of <math>\alpha(\mathbf{L}), \alpha(\mathbf{m}), \alpha(\mathbf{s}).</math> | ||
== Musical open problems == | == Musical open problems == | ||