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→Naming mosdescendant scales where successive generations of scales grow linearly: Table catastrophically broke, fixed; added rule for naming edge-case mosdescendants
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→Naming mosdescendants for linearly growing scales (work-in-progress): Added table showing how linear mosdescendants grow
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== Proposal: Naming mosses with more than 10 steps ==
== Proposal: Naming mosses with more than 10 steps ==
This is a system for describing scales beyond the set of named TAMNAMS scales. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems, though this is focused on naming single-period mosses up to three generations after a parent scale.
This is a system for describing scales beyond the set of named TAMNAMS scales. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems, though this attempts to name mosses an arbitrary number of generations away from a named mos, not necessarily with a specific name.


Note: Some names with this system are not finalized, particularly the term "mosschismic" and some of the single-letter prefixes.
Note: Some names with this system are not finalized, particularly the term "mosschismic" and some of the single-letter prefixes.
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=== Naming mosdescendants for linearly growing scales (work-in-progress) ===
=== Naming mosdescendants for linearly growing scales (work-in-progress) ===
In cases where the number of notes with each successive mosdescendant grows linearly, these mosses may be assigned a letter to refer to a specific mosdescendant. Currently, this applies to mosdescendants whose parent mos has a step ratio that is along the extreme edges of the step ratio spectrum, around pseudoequalized and pseudocollapsed.
In cases where the number of notes with each successive mosdescendant grows linearly, these mosses may be assigned a letter to refer to a specific mosdescendant. Currently, this applies to mosdescendants whose parent mos has a step ratio that is along the extreme edges of the step ratio spectrum, around pseudoequalized and pseudocollapsed. The mos family tree better shows which mosses grow linearly, shown in bold, as the upper child of each node is always xL (x+y)s, which becomes of xL (nx+y)s over n generations. Currently, only nth s-mosdescendants and nth f-mosdescendants are named this way.
{| class="wikitable"
{| class="wikitable"
|+Mosdescendants sorted by position on the mos family tree
!Parent scale
! colspan="2" |Moschromatic scales
(1st mosdescendants)
! colspan="2" |Mosenharmonic scales
(2nd mosdescendants)
! colspan="2" |Mosschismic scales
(3rd mosdescendants)
! colspan="2" |4th-mosdescendant scales
(selected mosdescendants)
! colspan="2" |5th-mosdescendant scales
(selected mosdescendants)
! colspan="2" |nth-mosdescendant scales
(selected mosdescendants)
|-
!Steps
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
|-
| rowspan="8" |xL ys
| rowspan="4" |'''xL (x+y)s'''
| rowspan="4" |'''p-moschromatic'''
| rowspan="2" |'''xL (2x+y)s'''
| rowspan="2" |'''s-mosenharmonic'''
|'''xL (3x+y)s'''
|'''s-mosschismic'''
|'''xL (4x+y)s'''
|'''4th s-mosdescendant'''
|'''xL (5x+y)s'''
|'''5th s-mosdescendant'''
|'''xL (nx+y)s'''
|'''nth s-mosdescendant'''
|-
|(3x+y)L xs
|r-mosschismic
|
|
|
|
|
|
|-
| rowspan="2" |(2x+y)L xs
| rowspan="2" |p-mosenharmonic
|'''(2x+y)L (3x+y)s'''
|'''p-mosschismic'''
|(2x+y)L (5x+2y)s
|4th p-mosdescendant
|(2x+y)L (7x+3y)s
|5th p-mosdescendant
|
|nth p-mosdescendant
|-
|(3x+y)L (2x+y)s
|q-mosschismic
|
|
|
|
|
|
|-
| rowspan="4" |(x+y)L xs
| rowspan="4" |m-moschromatic
| rowspan="2" |'''(x+y)L (2x+y)s'''
| rowspan="2" |'''f-mosenharmonic'''
|'''(x+y)L (3x+2y)s'''
|'''f-mosschismic'''
|'''(x+y)L (4x+3y)s'''
|'''4th f-mosdescendant'''
|'''(x+y)L (5x+4y)s'''
|'''5th f-mosdescendant'''
|'''(x+y)L (nx+(n-1)y)s'''
|'''nth f-mosdescendant'''
|-
|(3x+2y)L (x+y)s
|a-mosschismic
|
|
|
|
|
|
|-
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |m-mosenharmonic
|'''(2x+y)L (3x+2y)s'''
|'''m-mosschismic'''
|(2x+y)L (5x+3y)s
|4th m-mosdescendant
|(2x+y)L (7x+4y)s
|5th m-mosdescendant
|
|nth m-mosdescendant
|-
|(3x+2y)L (2x+y)s
|u-mosschismic
|
|
|
|
|
|
|}
{| class="wikitable"
|+Mosdescendants sorted by step ratio
!Parent scale
!Parent scale
! colspan="2" |Moschromatic scales
! colspan="2" |Moschromatic scales
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