User:Ganaram inukshuk/Methodologies: Difference between revisions
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==== 3rd descendants ==== | ==== 3rd descendants (wip) ==== | ||
To get replacement rules for 3rd descendants, the previous horograms can be extended as before, as well as adding a third-order chroma: a kleisma (or, for this page, an epsilon), defined as e = | L - 3s |. | |||
{| class="wikitable" | |||
! rowspan="2" |Mos | |||
! rowspan="2" |Relation | |||
! colspan="8" |Step pattern | |||
! rowspan="2" |Final rulesets | |||
|- | |||
! colspan="4" |L's and s's | |||
! colspan="4" |s's and c's | |||
|- | |||
|xL ys | |||
|Parent | |||
| colspan="3" |L | |||
|s | |||
| colspan="3" |L | |||
|s | |||
| | |||
|- | |||
|xL (x+y)s | |||
|Child 1 | |||
| colspan="2" |L | |||
|s | |||
|s | |||
| colspan="2" |c | |||
|s | |||
|s | |||
| | |||
|- | |||
|xL (2x+y)s | |||
|Grandchild 11 | |||
|L | |||
|s | |||
|s | |||
|s | |||
|c | |||
|s | |||
|s | |||
|s | |||
| | |||
|} | |||
{| class="wikitable" | |||
! rowspan="2" |Mos | |||
! rowspan="2" |Relation | |||
! colspan="8" |Step pattern | |||
! rowspan="2" |Final rulesets | |||
|- | |||
! colspan="4" |L's and s's | |||
! colspan="4" |s's and c's | |||
|- | |||
|xL ys | |||
|Parent | |||
| colspan="3" |L | |||
|s | |||
| colspan="3" |L | |||
|s | |||
| | |||
|- | |||
|xL (x+y)s | |||
|Child 1 | |||
| colspan="2" |L | |||
|s | |||
|s | |||
| colspan="2" |c | |||
|s | |||
|s | |||
| | |||
|- | |||
|(2x+y)L xs | |||
|Grandchild 12 | |||
|s | |||
|L | |||
|L | |||
|L | |||
|c | |||
|s | |||
|s | |||
|s | |||
| | |||
|} | |||
{| class="wikitable" | |||
! rowspan="2" |Mos | |||
! rowspan="2" |Relation | |||
! colspan="10" |Step pattern | |||
! rowspan="2" |Final rulesets | |||
|- | |||
! colspan="5" |L's and s's | |||
! colspan="5" |c's and d's | |||
|- | |||
|xL ys | |||
|Parent | |||
| colspan="3" |L | |||
| colspan="2" |s | |||
| colspan="3" |L | |||
| colspan="2" |s | |||
| | |||
|- | |||
|(x+y)L xs | |||
|Child 2 | |||
|s | |||
| colspan="2" |L | |||
| colspan="2" |L | |||
|c | |||
| colspan="2" |s | |||
| colspan="2" |s | |||
| | |||
|- | |||
|(x+y)L (2x+y)s | |||
|Grandchild 21 | |||
|s | |||
|s | |||
|L | |||
|s | |||
|L | |||
|c | |||
|c | |||
|d | |||
|c | |||
|d | |||
| | |||
|} | |||
{| class="wikitable" | |||
! rowspan="2" |Mos | |||
! rowspan="2" |Relation | |||
! colspan="10" |Step pattern | |||
! rowspan="2" |Final rulesets | |||
|- | |||
! colspan="5" |L's and s's | |||
! colspan="5" |c's and d's | |||
|- | |||
|xL ys | |||
|Parent | |||
| colspan="3" |L | |||
| colspan="2" |s | |||
| colspan="3" |L | |||
| colspan="2" |s | |||
| | |||
|- | |||
|(x+y)L xs | |||
|Child 2 | |||
|s | |||
| colspan="2" |L | |||
| colspan="2" |L | |||
|c | |||
| colspan="2" |s | |||
| colspan="2" |s | |||
| | |||
|- | |||
|(2x+y)L (x+y)s | |||
|Grandchild 22 | |||
|L | |||
|L | |||
|s | |||
|L | |||
|s | |||
|c | |||
|c | |||
|d | |||
|c | |||
|d | |||
| | |||
|} | |||
=== Examples with 5L 2s === | === Examples with 5L 2s === | ||