User:Ganaram inukshuk/Notes/TAMNAMS: Difference between revisions

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Other names (in-progress): Removed superdiatonic/armotonic name reasoning since it's already included on main tamnams page; also removed tetrawood/diminished since it wasn't included on main tamnams page either
Ganaram inukshuk (talk | contribs)
Other names (in-progress): Added description, for a generalized super-mos family, refined description for monolarge/polylarge mosses
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=== Other names (in-progress) ===
=== Names for other mos families (in-progress) ===
Mosses of the form xL (kx+y)s form an infinite linear family.


* n-monolarge or monolarge - Refers to any mos that is of the form 1L ns. These mosses form an infinite mos family that is itself a singular line. This family includes 1L 1s, 1L 2s, 1L 3s, and so on.
* The simplest mos family of this form, the '''monolarge''' family, includes all mosses of the form 1L ns, starting at 1L 1s; all mosses of the form 1L ns belong to the same family.
* n-polylarge or polylarge - Refers to any mos of the form xL (nx+y)s that is along the pseudocollapsed range of step ratios for a mos xL ys. These mosses form an infinite linear family, similar to monolarge mosses. One example of this is 2L 1s, 2L 3s, 2L 5s, 2L 7s, 2L 9s, and so on.
* The next simplest mos family, the '''bilarge''' family, includes all mosses of the form 2L (kx+1)s, starting at 2L 1s; all mosses of the form 2L (kx+1)s belong to the same family.
* Mosses of the general form of xL (kx+y)s, the '''xL ys polylarge''' or '''(mos name) polylarge''' family, belong to the same family and start at xL ys (k=0).
** For a mos of the form xL ys, descendant mosses of the form xL (kx+y)s are formed using a step ratio for xL ys that is around the pseudocollapesed range, and xL (kx+y)s is the kth mos descendant of this form.
** For a mos of the form xL ys, a similar linear family starts at yL (x+y)s, the sister of xL (x+y)s. These mosses are formed using a step ratio for xL ys that is around the pseduocollapsed range.
 
A similar family of mosses are of the form (x+ky)L ys. These do not form a family of related mosses in that their generators are different sizes, but serves as the sister of the form xL (kx+y)s. One noteworthy example is diatonic (5L 2s) and superdiatonic/armotonoc (7L 2s), a pair of indirectly related mosses where the structure of the mos is similar except for the number of large steps.


=== Reasoning for names ===
=== Reasoning for names ===