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→Mos Family Tree for an Edo: Added 31edo example
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== Mos Family Tree for an Edo ==
== 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.
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.  
 
=== 19edo Example ===
The table shown below is the mos family tree for 19edo.
{| class="wikitable"
{| class="wikitable"
! colspan="10" |Mos Family Tree for 19edo
! colspan="10" |Mos Family Tree for 19edo
Line 2,629: Line 2,632:


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.
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.
=== 31edo Example ===
This table does away with generation numbers and includes the "terminating edo" (the edo resulted when the mos xL ys with a step ratio of L:s = 2:1 produces a pair of indistinguishable child scales xL (x+y)s and (x+y)L xs whose step ratios are both 1:1). Also, no merged cells; hopefully, that illustrates things a bit better.
{| class="wikitable"
! colspan="15" |Mos Family Tree for 31edo
|-
!30\31 - 1\31
!29\31 - 2\31
!28\31 - 3\31
!27\31 - 4\31
!26\31 - 5\31
!25\31 - 6\31
!24\31 - 7\31
!23\31 - 8\31
!22\31 - 9\31
!21\31 - 10\31
!20\31 - 11\31
!19\31 - 12\31
!18\31 - 13\31
!17\31 - 14\31
!16\31 - 15\31
|-
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|1L 1s
|-
|1L 2s
|1L 2s
|1L 2s
|1L 2s
|1L 2s
|1L 2s
|1L 2s
|1L 2s
|1L 2s
|1L 2s
|2L 1s
|2L 1s
|2L 1s
|2L 1s
|2L 1s
|-
|1L 3s
|1L 3s
|1L 3s
|1L 3s
|1L 3s
|1L 3s
|1L 3s
|3L 1s
|3L 1s
|3L 1s
|3L 2s
|3L 2s
|2L 3s
|2L 3s
|2L 3s
|-
|1L 4s
|1L 4s
|1L 4s
|1L 4s
|1L 4s
|1L 4s
|4L 1s
|4L 3s
|3L 4s
|3L 4s
|3L 5s
|5L 3s
|5L 2s
|2L 5s
|2L 5s
|-
|1L 5s
|1L 5s
|1L 5s
|1L 5s
|1L 5s
|5L 1s
|4L 5s
|4L 7s
|7L 3s
|3L 7s
|3L 8s
|5L 8s
|7L 5s
|2L 7s
|2L 7s
|-
|1L 6s
|1L 6s
|1L 6s
|1L 6s
|6L 1s
|5L 6s
|9L 4s
|4L 11s
|7L 10s
|3L 10s
|3L 11s
|13L 5s
|12L 7s
|9L 2s
|2L 9s
|-
|1L 7s
|1L 7s
|1L 7s
|7L 1s
|6L 7s
|5L 11s
|9L 13s
|4L 15s
|7L 17s
|3L 13s
|14L 3s
|31edo
|31edo
|11L 9s
|2L 11s
|-
|1L 8s
|1L 8s
|1L 8s
|8L 7s
|6L 13s
|5L 16s
|31edo
|4L 19s
|31edo
|3L 16s
|31edo
|
|
|31edo
|2L 13s
|-
|1L 9s
|1L 9s
|1L 9s
|8L 15s
|6L 19s
|5L 21s
|
|4L 23s
|
|3L 19s
|
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|
|2L 15s
|-
|1L 10s
|1L 10s
|10L 1s
|31edo
|31edo
|31edo
|
|31edo
|
|3L 22s
|
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|
|2L 17s
|-
|1L 11s
|1L 11s
|10L 11s
|
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|3L 25s
|
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|2L 19s
|-
|1L 12s
|1L 12s
|31edo
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|31edo
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|
|2L 21s
|-
|1L 13s
|1L 13s
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|2L 23s
|-
|1L 14s
|1L 14s
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|2L 25s
|-
|1L 15s
|15L 1s
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|2L 27s
|-
|1L 16s
|31edo
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|31edo
|-
|1L 17s
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|-
|1L 18s
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|-
|1L 19s
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|-
|1L 20s
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|-
|1L 21s
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|-
|1L 22s
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|-
|1L 23s
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|-
|1L 24s
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|-
|1L 25s
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|-
|1L 26s
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|-
|1L 27s
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|-
|1L 28s
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|-
|1L 29s
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|31edo
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|}
Retrieved from "https://en.xen.wiki/w/User:Ganaram_inukshuk/Tables"