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Ganaram inukshuk (talk | contribs)
autopatrolled
4,810 edits
Included mos family tree as a table. Also included what happens when you only show the mosses available to a specific edo.
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== Mos Family Tree as a Table ==
The following is the mos family tree, formatted as a table. The table consists of 6 generations.
{| class="wikitable mw-collapsible"
! colspan="6" |Mos Family Tree (single-period only)
|-
!Gen. 1
!Gen. 2
!Gen. 3
!Gen. 4
!Gen. 5
!Gen. 6
|-
| rowspan="63" |1L 1s
| rowspan="31" |1L 2s
| rowspan="15" |1L 3s
| rowspan="7" |1L 4s
| rowspan="3" |1L 5s
|1L 6s
|-
|
|-
|6L 1s
|-
|
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|-
| rowspan="3" |5L 1s
|5L 6s
|-
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|-
|6L 5s
|-
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|
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|-
| rowspan="7" |4L 1s
| rowspan="3" |4L 5s
|4L 9s
|-
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|-
|9L 4s
|-
|
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|-
| rowspan="3" |5L 4s
|5L 9s
|-
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|-
|9L 5s
|-
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|-
| rowspan="15" |3L 1s
| rowspan="7" |3L 4s
| rowspan="3" |3L 7s
|3L 10s
|-
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|-
|10L 3s
|-
|
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|-
| rowspan="3" |7L 3s
|7L 10s
|-
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|-
|10L 7s
|-
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|-
| rowspan="7" |4L 3s
| rowspan="3" |4L 7s
|4L 11s
|-
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|-
|11L 4s
|-
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|-
| rowspan="3" |7L 4s
|7L 11s
|-
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|-
|11L 7s
|-
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|-
| rowspan="31" |2L 1s
| rowspan="15" |2L 3s
| rowspan="7" |2L 5s
| rowspan="3" |2L 7s
|2L 9s
|-
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|-
|9L 2s
|-
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|-
| rowspan="3" |7L 2s
|7L 9s
|-
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|-
|9L 7s
|-
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|-
| rowspan="7" |5L 2s
| rowspan="3" |5L 7s
|5L 12s
|-
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|-
|12L 5s
|-
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|-
| rowspan="3" |7L 5s
|7L 12s
|-
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|-
|12L 7s
|-
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|-
| rowspan="15" |3L 2s
| rowspan="7" |3L 5s
| rowspan="3" |3L 8s
|3L 11s
|-
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|-
|11L 3s
|-
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|-
| rowspan="3" |8L 3s
|8L 11s
|-
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|-
|11L 8s
|-
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|-
| rowspan="7" |5L 3s
| rowspan="3" |5L 8s
|5L 13s
|-
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|-
|13L 5s
|-
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|-
| rowspan="3" |8L 5s
|8L 13s
|-
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|-
|13L 8
|}
== Mos Family Tree for an Edo ==
The basis of this diagram is simple: take the infinite mos family tree and only show the scales that are available for a specific edo. The table shown below is the mos family tree for 19edo.
{| class="wikitable"
! colspan="10" |Mos Family Tree for 19edo
|-
!Gen. 1
| colspan="9" |1L 1s
|-
!Gen. 2
| colspan="6" |1L 2s
| colspan="3" |2L 1s
|-
!Gen. 3
| colspan="4" |1L 3s
| colspan="2" |3L 1s
|3L 2s
| colspan="2" |2L 3s
|-
!Gen. 4
| colspan="3" |1L 4s
|4L 1s
|4L 3s
|3L 4s
|3L 5s
|5L 2s
|2L 5s
|-
!Gen. 5
| colspan="3" |1L 5s
|5L 4s
|4L 7s
|3L 7s
|8L 3s
|7L 5s
|2L 7s
|-
!Gen. 6
| colspan="2" |1L 6s
|6L 1s
|5L 9s
|4L 11s
|3L 10s
|
|
|2L 9s
|-
!Gen. 7
| colspan="2" |1L 7s
|6L 7s
|
|
|3L 13s
|
|
|2L 11s
|-
!Gen. 8
|1L 8s
|
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|2L 13s
|-
!Gen. 9
|1L 9s
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|2L 15s
|-
!Gen. 10
|1L 10s
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|-
!Gen. 11
|1L 11s
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|-
!Gen. 12
|1L 12s
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|-
!Gen. 13
|1L 13s
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|-
!Gen. 14
|1L 14s
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|-
!Gen. 15
|1L 15s
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|-
!Gen. 16
|1L 16s
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|-
!Gen. 17
|1L 17s
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|}
This tree can be thought of as a pruned mos family tree, where every leaf node has the step ratio of L:s = 2:1. To conceptualize this tree better, consider the leaf node 7L 5s. Since the entire structure is a binary tree (that is, there are no loopy paths), there is one and only one unique path that starts from 1L 1s and ends at 7L 5s. Likewise, all other leaf nodes have a unique path that merges back with 1L 1s.
Note that all of these paths inevitably overlap. It's important to note that these overlaps are due to each path having multiple mosses in common with one another, despite having differing generator pairs or step ratios. Pruning a mos tree by generator pair isolates a single linear path between 1L 1s and the leaf node with the step ratio of 2:1; put another way, the tree is pruned down to a single branch.
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