TAMNAMS: Difference between revisions
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== Appendix == | == Appendix == | ||
=== Naming 3-step scales' step ratios === | |||
Analogously to 2-step scales including mosses, scales with three step sizes L > M > S, including [[MV3]] scales, can also be uniquely characterized by their L:M:S ratios. Here TAMNAMS names L/M, then M/S ratios separately: for example, 21edo [[diasem]] (5L 2M 2s, LMLSLMLSL or its inverse) has a ratio of L:M:S = 3:2:1, so we name it "soft basic". | |||
=== Derivation of the step ratio names === | === Derivation of the step ratio names === | ||
The idea is to start with the simplest ratios (L/s = 1/0 and L/s = 1/1) and derive more complex ratios through repeated application of the [[mediant]] (aka Farey addition) to adjacent fractions. | The idea is to start with the simplest ratios (L/s = 1/0 and L/s = 1/1) and derive more complex ratios through repeated application of the [[mediant]] (aka Farey addition) to adjacent fractions. | ||