TAMNAMS: Difference between revisions

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=== 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''.

For step ratios where one ratio is unspecified:

* x:x:y is called ''any-(hardness term for x/y)''. x:x:1 is called ''any-equalized'' or ''LM-equalized''.

* Similarly, x:y:y is called ''(hardness term for x/y)-any''. x:1:1 is called ''equalized-any'' or ''MS-equalized''

=== 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''.

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 === 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''.
+For step ratios where one ratio is unspecified:
+* x:x:y is called ''any-(hardness term for x/y)''. x:x:1 is called ''any-equalized'' or ''LM-equalized''.
+* Similarly, x:y:y is called ''(hardness term for x/y)-any''. x:1:1 is called ''equalized-any'' or ''MS-equalized''
 === 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''.