User:Ganaram inukshuk/TAMNAMS Extension: Difference between revisions

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===Names for mos linear families===
===Names for mos linear families===
A mos linear family is a family of related mosses of the form xL (nx + y)s. This family starts with the mos xL ys, where x < y and n=0, and continue with mosses with the same number of large steps but a linearly growing quantity of small steps. An example of such a family is the mos sequence 5L 2s, 5L 7s, 5L 12s, 5L 17s, etc, where each successive mos has 5 more small steps than the last.
A mos linear family is a family of related mosses of the form xL (nx + y)s. This family starts with the mos xL ys, where x < y and n = 0, and continue with mosses with the same number of large steps but a linearly growing quantity of small steps. An example of such a family is the mos sequence 5L 2s, 5L 7s, 5L 12s, 5L 17s, etc, where each successive mos has 5 more small steps than the last.


Mosses in this family relate to one another by repeated application of the replacement ruleset L->Ls and s->s to the initial mos's step pattern. In terms of step ratio, these mosses relate back to the initial mos if the initial mos has a hard or pseudoequalized step ratio. Continuing with the example of 5L 2s, the smallest edo that can reach 5L 7s is 17edo (where L:s = 2:1, therefore 5L+7s = 17), producing a 5L 2s mos with a step ratio of 3:1, whereas reaching the mos 5L 17s requires the initial mos of 5L 2s to have a step ratio of 5:1.
Names for these families describe a subset of a mos descendant family, and are called a ''(mos name)'' ''linear family'' or ''(mos-prefix)linear family''. Mosses in a linear family relate to one another by repeated application of the replacement ruleset L->Ls and s->s to the initial mos's step pattern. In terms of step ratio, these mosses relate back to the initial mos if the initial mos has a hard or pseudocollapsed step ratio. The linear family for the child mos (x+y)L xs can be seen as the analogous linear family for the mos's step ratio being soft or pseudoequalized; however, the mos (x+y)L xs is the start of its own linear family.
{| class="wikitable"
{| class="wikitable"
|+Names of single-period mos linear families (work-in-progress)
|+Names of single-period mos linear families (work-in-progress)
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|monolarge family
|monolarge family
|Represents an entire family of mosses formerly unnamed by TAMNAMS
|Represents an entire family of mosses formerly unnamed by TAMNAMS
The name "monolarge" is chosen as it succinctly describes the only possible 1L family
|-
|-
|2L (2n+1)s
|2L (2n+1)s
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|5L (5n+1)s
|5L (5n+1)s
|mechlinear family
|mechlinear family
|Named after machinoid
|Named after machinoid (prefix mech-)
|-
|-
|5L (5n+2)s
|5L (5n+2)s
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|7L (7n+2)s
|7L (7n+2)s
|armlinear family
|armlinear family
|Named after armotonic (also called superdiatonic)
|Named after superdiatonic (also called armotonic)
|-
|-
|7L (7n+3)s
|7L (7n+3)s
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|7L (7n+4)s
|7L (7n+4)s
|prasmilinear family
|prasmilinear family
|Named after suprasmitonic, a former name for 7L 4s but with a truncated name
|Named after a truncation of a former name for 7L 4s (suprasmitonic)
|-
|-
|7L (7n+5)s
|7L (7n+5)s
|m-linear family
|m-linear family
|Named after m-chromatic rather than diatonic
|Named after m-chromatic, a former name for 7L 5s, as it's the start of its own linear family
|-
|-
|7L (7n+6)s
|7L (7n+6)s
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==Reasoning for names==
== Reasoning for names ==
The names for chromatic scales are based on former names for the child mosses of diatonic (5L 2s) - p-chromatic for 5L 7s and m-chromatic for 7L 5s - and was generalized to ''chromatic mos''. The term enharmonic is already in use to describe the grandchild mosses of diatonic, and so was generalized to ''enharmonic mos''. The term subchromatic is a term coined by Mike Battaglia to describe a scale that is more chromatic than either chromatic or enharmonic, and is generalized to ''subchromatic mos''.
The names for chromatic scales are based on former names for the child mosses of diatonic (5L 2s) - p-chromatic for 5L 7s and m-chromatic for 7L 5s - and was generalized to ''chromatic mos''. The term enharmonic is already in use to describe the grandchild mosses of diatonic, and so was generalized to ''enharmonic mos''. The term subchromatic is a term coined by Mike Battaglia to describe a scale that is more chromatic than either chromatic or enharmonic, and is generalized to ''subchromatic mos''.