TAMNAMS: Difference between revisions
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| Line 262: | Line 262: | ||
| s | | s | ||
| m1ms | | m1ms | ||
| | | −3 | ||
|- | |- | ||
| Major mosstep (or large mosstep) | | Major mosstep (or large mosstep) | ||
| Line 273: | Line 273: | ||
| 2s | | 2s | ||
| d2ms | | d2ms | ||
| | | −6 | ||
|- | |- | ||
| '''Perfect 2-mosstep''' | | '''Perfect 2-mosstep''' | ||
| Line 284: | Line 284: | ||
| 1L + 2s | | 1L + 2s | ||
| m3ms | | m3ms | ||
| | | −2 | ||
|- | |- | ||
| Major 3-mosstep | | Major 3-mosstep | ||
| Line 295: | Line 295: | ||
| 1L + 3s | | 1L + 3s | ||
| m4ms | | m4ms | ||
| | | −5 | ||
|- | |- | ||
| Major 4-mosstep | | Major 4-mosstep | ||
| Line 306: | Line 306: | ||
| 2L + 3s | | 2L + 3s | ||
| P5ms | | P5ms | ||
| | | −1 | ||
|- | |- | ||
| Augmented 5-mosstep | | Augmented 5-mosstep | ||
| Line 317: | Line 317: | ||
| 2L + 4s | | 2L + 4s | ||
| m6ms | | m6ms | ||
| | | −4 | ||
|- | |- | ||
| Major 6-mosstep | | Major 6-mosstep | ||
| Line 361: | Line 361: | ||
| Minor (m) | | Minor (m) | ||
|- | |- | ||
| | | −1 chroma | ||
| Diminished (d) | | Diminished (d) | ||
| Diminished (d) | | Diminished (d) | ||
|- | |- | ||
| | | −2 chromas | ||
| Doubly-diminished (dd) | | Doubly-diminished (dd) | ||
| Doubly-diminished (dd) | | Doubly-diminished (dd) | ||
|- | |- | ||
| | | −3 chromas | ||
| Triply-diminished (ddd, d³, or d^3) | | Triply-diminished (ddd, d³, or d^3) | ||
| Triply-diminished (ddd, d³, or d^3) | | Triply-diminished (ddd, d³, or d^3) | ||
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For modes with altered scale degrees, the abbreviations for the scale degrees are listed after the UDP for the mode. | For modes with altered scale degrees, the abbreviations for the scale degrees are listed after the UDP for the mode. | ||
{{MOS mode degrees|Scale Signature=5L 3s|MOS Prefix=mos|MODMOS Step Pattern=LsLsLLLs|Mode Names=Default}} | {{MOS mode degrees|Scale Signature=5L 3s|MOS Prefix=mos|MODMOS Step Pattern=LsLsLLLs|Mode Names=Default}} | ||
Notation, such as [[Diamond-mos notation|diamond-mos]], can be used instead of the abbreviation of a mosdegree. For example, LsLsLLLs can be written "5L | Notation, such as [[Diamond-mos notation|diamond-mos]], can be used instead of the abbreviation of a mosdegree. For example, LsLsLLLs can be written {{nowrap|"5L 3s 5{{pipe}}2 m4md"}}. {{nowrap|"5L 3s 5{{pipe}}2 @4d"}}. | ||
For a mos pattern given a name in TAMNAMS, there is also the option of using the prefix for the pattern instead of saying "xL ys": the 5L 3s mode LsLLsLLs can be written "onei-5|2". | For a mos pattern given a name in TAMNAMS, there is also the option of using the prefix for the pattern instead of saying "xL ys": the 5L 3s mode LsLLsLLs can be written "onei-5|2". | ||
==Generalization to non-mos scales== | == Generalization to non-mos scales == | ||
===Intervals in arbitrary scales=== | === Intervals in arbitrary scales === | ||
Zero-indexed interval names are also used for arbitrary scales, so we can still call a k-step interval a ''k-step'' and the corresponding degree the ''k-degree''. But instead of ''k-mosstep'' and ''k-mosdegree'', we use ''k-scalestep'' and ''k-scaledegree'' for arbitrary scales. | Zero-indexed interval names are also used for arbitrary scales, so we can still call a k-step interval a ''k-step'' and the corresponding degree the ''k-degree''. But instead of ''k-mosstep'' and ''k-mosdegree'', we use ''k-scalestep'' and ''k-scaledegree'' for arbitrary scales. | ||
=== Proposal: Naming ternary scales' step ratios=== | === Proposal: Naming ternary scales' step ratios=== | ||
Analogously to binary scales including mosses, ternary scales, i.e. those with three step sizes L | Analogously to binary scales including mosses, ternary scales, i.e. those with three step sizes {{nowrap|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 {{nowrap|L:M:S {{=}} 3:2:1}}, so we name it ''soft-basic diasem''. If the ratios are the same, repetition may optionally be omitted, so that [[26edo]] diasem, 4:2:1, may optionally be called "basic diasem" instead of "basic-basic diasem". Not to be confused with step ratios where one ratio is unspecified; for that, use: | ||
* x:y:z (where x:y is known but y:z is not) is called ''(hardness term for x/y)-any''. x:x:1 is called ''equalized-any'' or ''LM-equalized'' (where {{nowrap|x ≥ 1}} represents a free variable). | * x:y:z (where x:y is known but y:z is not) is called ''(hardness term for x/y)-any''. x:x:1 is called ''equalized-any'' or ''LM-equalized'' (where {{nowrap|x ≥ 1}} represents a free variable). | ||
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== Appendix== | == Appendix== | ||
=== Reasoning for step ratio names === | === Reasoning for step ratio names === | ||
{{Main| | {{Main|{{ROOTPAGENAME}}/Appendix#Reasoning for step ratio names}} | ||
=== Reasoning for mos interval names === | === Reasoning for mos interval names === | ||
{{Main| | {{Main|{{ROOTPAGENAME}}/Appendix#Reasoning for mos interval names}} | ||
=== Reasoning for mos pattern names === | === Reasoning for mos pattern names === | ||
{{Main| | {{Main|{{ROOTPAGENAME}}/Appendix#Reasoning for mos pattern names}} | ||
[[Category:TAMNAMS]] | [[Category:TAMNAMS]] | ||