User:Inthar/Style guide
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My notation may differ from conventional xen notation, especially in more technical xen theory writings.
Variables
- Capital italicized Latin letters may denote scales written cumulatively. For example: S(n) = 100n cents
- Lowercase italicized Latin letters may denote scales written as steps or abstract scale words. For example: s(a, b, c) = abacaba
- Bolded variables denote interval sizes, especially letters of scale words. For example: 5L 2s
Algebraic structures
- [math]\displaystyle{ \mathrm{JI}\langle p_1, ..., p_r \rangle }[/math] is the p1.[...].pr subgroup, the subgroup of [math]\displaystyle{ (\mathbb{Q}_{\gt 0}, \cdot) }[/math] generated by rationals [math]\displaystyle{ p_1, ..., p_r. }[/math]
- If R is a commutative ring, [math]\displaystyle{ R^r\langle a_1, ..., a_r\rangle }[/math] is the rank-r free R-module generated by basis elements [math]\displaystyle{ a_1, ..., a_r. }[/math] Example: [math]\displaystyle{ \mathbb{Z}^3\langle \mathbf{L}, \mathbf{m}, \mathbf{s}\rangle }[/math]