TAMNAMS: Difference between revisions

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== 3-step-~~size~~ scales ==

== Non-mos scales ==

We also use 0-indexed interval names for arbitrary scales. So we can still use ''k-step'', but instead of ''k-mosstep'', we use ''k-scalestep'' for arbitrary scales.

=== Naming 3-step-size scales' step ratios ===

Analogously to 2-step-size scales including mosses, scales with three step sizes L > M > S, including [[MV3]] scales, can also be defined by their L:M:S ratios. Here TAMNAMS names the L/M ratio and then the M/S ratio as if these were mos step ratios: for example, [[21edo]] [[diasem]] (5L 2M 2s, LMLSLMLSL or its inverse) has a step ratio of L:M:S = 3:2:1, so we name it "soft-basic diasem".

=== Naming MV3 intervals ===

[[MV3]] scales, such as [[diasem]], have at most 3 sizes for each interval class. For every interval class that occurs in exactly 3 sizes, we use "large", "medium" and "small k-step". For every interval class that occurs in 2 sizes, we use "large k-step" and "small k-step". If an interval class only has one size, then we call it "perfect k-step".

== Appendix ==

@@ Line 297: / Line 297: @@
 <references/>
-== 3-step-size scales ==
+== Non-mos scales ==
+We also use 0-indexed interval names for arbitrary scales. So we can still use ''k-step'', but instead of ''k-mosstep'', we use ''k-scalestep'' for arbitrary scales.
 === Naming 3-step-size scales' step ratios ===
 Analogously to 2-step-size scales including mosses, scales with three step sizes L > M > S, including [[MV3]] scales, can also be defined by their L:M:S ratios. Here TAMNAMS names the L/M ratio and then the M/S ratio as if these were mos step ratios: for example, [[21edo]] [[diasem]] (5L 2M 2s, LMLSLMLSL or its inverse) has a step ratio of L:M:S = 3:2:1, so we name it "soft-basic diasem".
 === Naming MV3 intervals ===
 [[MV3]] scales, such as [[diasem]], have at most 3 sizes for each interval class. For every interval class that occurs in exactly 3 sizes, we use "large", "medium" and "small k-step". For every interval class that occurs in 2 sizes, we use "large k-step" and "small k-step".  If an interval class only has one size, then we call it "perfect k-step".
 == Appendix ==