User:Ganaram inukshuk/Tables: Difference between revisions
Included mos family tree as a table. Also included what happens when you only show the mosses available to a specific edo. |
m →Mos Family Tree for an Edo: Minor edit; additional information for generator pairs and how two branches for two different generator pairs coincide with one another completely. |
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{| class="wikitable" | {| class="wikitable" | ||
! colspan="10" |Mos Family Tree for 19edo | ! colspan="10" |Mos Family Tree for 19edo | ||
|- | |||
!Generator Pair | |||
!18\19 - 1\19 | |||
!17\19 - 2\19 | |||
!16\19 - 3\19 | |||
!15\19 - 4\19 | |||
!14\19 - 5\19 | |||
!13\19 - 6\19 | |||
!12\19 - 7\19 | |||
!11\19 - 8\19 | |||
!10\19 - 9\19 | |||
|- | |- | ||
!Gen. 1 | !Gen. 1 | ||
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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. | 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. | ||
Note the curious case of 1L 7s in this example. It should be the leaf node for the generator pair 17\19 and 2\19, but since that scale is also available to the generator pair of 18\19 and 1\19, it's not and that branch continues to 1L 17s. Technically speaking, the branches for the generator pairs of 18\19-1\19 and 17\19-2\19 coincide. | |||