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== Extended mos pattern names (greater than 10 steps) ==
== Extended mos pattern names (greater 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 mine is focused on naming single-period mosses as far as 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 is focused on naming single-period mosses up to three generations after a parent scale.


Although naming scales beyond the current cap of 10 notes is antithetical to the purpose of TAMNAMS, a general description can still be made without establishing concrete names, while using names for already named scales. The rules are described as such:
Although naming scales beyond the current cap of 10 notes is antithetical to the purpose of TAMNAMS, a general description can still be made without establishing concrete names, while using names for already named scales. The rules are described as such:


* If the descendent scale is the child of the parent scale, then the scales are collectively referred to as moschromatic scales.
* If the scale is the child of the parent scale, then the scale is moschromatic.
* If the descendent scale is the grandchild of the parent scale, then the scales are collectively referred to as mosenharmonic scales.
* If the scale is the grandchild of the parent scale, then the scale is mosenharmonic
* If the descendent scale is the great-grandchild of the parent scale, then the scales are collectively referred to as mosschismic scales. (tentative name; [[Schismatic family|schismic]] refers to a family of temperaments; open to better name suggestions)
* If the scale is the great-grandchild of the parent scale, then the scales mosschismic. (tentative name; [[Schismatic family|schismic]] refers to a family of temperaments; open to better name suggestions)


For describing the scales of a named mos, the prefix of mos- is removed and replaced with the mos's prefix instead; for example, the descendent scales for the mos 5L 3s (oneirotonic, prefix oneiro-) are oneirochromatic, oneiroenharmonic, and oneiroschismic respectively. The lack of a prefix will specifically describe the descendent scales of 5L 2s: chromatic, enharmonic, and schismic.
For describing the scales of a named mos, the prefix of mos- is removed and replaced with the mos's prefix instead; for example, the descendent scales for the mos 5L 3s (oneirotonic, prefix oneiro-) are oneirochromatic, oneiroenharmonic, and oneiroschismic respectively. Additionally, the lack of a prefix will specifically describe the descendent scales of 5L 2s: chromatic, enharmonic, and schismic.


Specific scales can be referred to by adding an additional prefix. The table below shows those prefixes and the step ratios for which they apply.
In the general case, moschromatic refers to one of two child scales, mosenharmonic refers to one of four grandchild scales, and mosschismic refers to one of eight great-grandchild scales. Specific scales can be referred to by adding an additional prefix; the table below shows those prefixes and the step ratios (of the parent mos) for which they apply.
{| class="wikitable"
{| class="wikitable"
|+Moschromatic, mosenharmonic, and mosschismic scales sorted by step ratio
|+Moschromatic, mosenharmonic, and mosschismic scales sorted by step ratio
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! colspan="4" |Mosschismic scales (names not finalized)
! colspan="4" |Mosschismic scales (names not finalized)
|-
|-
!Steps
! rowspan="2" |Steps
!Step ratio range
! colspan="2" |Step ratio of parent (self)
(hardest to softest)
! rowspan="2" |Steps
!Basic step ratio
! rowspan="2" |Specific name
!Steps
!Specific name
(with prefix)
(with prefix)
!Step ratio range
! colspan="2" |Step ratio of parent
(hardest to softest)
! rowspan="2" |Steps
!Basic step ratio
! rowspan="2" |Specific name
(relative to parent)
!Steps
!Specific name
(with prefix)
(with prefix)
!Step ratio range
! colspan="2" |Step ratio of parent
(hardest to softest)
! rowspan="2" |Steps
!Basic step ratio
! rowspan="2" |Specific name
(relative to parent)
!Steps
!Specific name
(with prefix)
(with prefix)
!Step ratio range
! colspan="2" |Step ratio of parent
(hardest to softest)
|-
!Basic step ratio
!General range
(relative to parent)
(softest to hardest)
!Specific ratio
(given L:s = 2:1 for mos)
!General range
(softest to hardest)
!Specific ratio
(given L:s = 2:1 for mos)
!General range
(softest to hardest)
!Specific ratio
(given L:s = 2:1 for mos)
!General range
(softest to hardest)
!Specific ratio
(given L:s = 2:1 for mos)
|-
|-
| rowspan="15" |xL ys
| rowspan="15" |xL ys
| rowspan="15" |1:0 to 1:1
| rowspan="15" |1:1 to 1:0
| rowspan="15" |2:1
| rowspan="15" |2:1 (basic)
(basic)
| rowspan="7" |(x+y)L xs
| rowspan="7" |xL (x+y)s
| rowspan="7" |m-moschromatic
| rowspan="7" |p-moschromatic
| rowspan="7" |1:1 to 2:1
| rowspan="7" |1:0 to 2:1
| rowspan="7" |3:2 (soft)
(general hard range)
| rowspan="3" |(x+y)L (2x+y)s
| rowspan="7" |3:1
| rowspan="3" |f-mosenharmonic
(hard)
| rowspan="3" |1:1 to 3:2
| rowspan="3" |xL (2x+y)s
| rowspan="3" |4:3 (supersoft)
| rowspan="3" |s-mosenharmonic
|(x+y)L (3x+2y)s
| rowspan="3" |1:0 to 3:1
|f-mosschismic
| rowspan="3" |4:1
|1:1 to 4:3 (ultrasoft)
(superhard)
|5:4
|xL (3x+y)s
|s-mosschismic
|1:0 to 4:1
(ultrahard)
|5:1
|-
|-
|
|
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|
|
|-
|-
|(3x+y)L xs
|(3x+2y)L (x+y)s
|r-mosschismic
|a-mosschismic
|4:1 to 3:1
|4:3 to 3:2 (parasoft)
(parahard)
|7:5
|7:2
|-
|-
|
|
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|
|
|-
|-
| rowspan="3" |(2x+y)L xs
| rowspan="3" |(2x+y)L (x+y)s
| rowspan="3" |p-mosenharmonic
| rowspan="3" |m-mosenharmonic
| rowspan="3" |3:1 to 2:1
| rowspan="3" |3:2 to 2:1 (hyposoft)
(hypohard)
| rowspan="3" |5:3 (semisoft)
| rowspan="3" |5:2
|(3x+2y)L (2x+y)s
(semihard)
|u-mosschismic
|(3x+y)L (2x+y)s
|3:2 to 5:3 (quasisoft)
|q-mosschismic
|8:5
|3:1 to 5:2
(quasihard)
|8:3
|-
|-
|
|
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|
|
|-
|-
|(2x+y)L (3x+y)s
|(2x+y)L (3x+2y)s
|p-mosschismic
|m-mosschismic
|5:2 to 2:1
|5:3 to 2:1 (minisoft)
(minihard)
|7:4
|7:3
|-
|-
|
|
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|
|
|-
|-
| rowspan="7" |(x+y)L xs
| rowspan="7" |xL (x+y)s
| rowspan="7" |m-moschromatic
| rowspan="7" |p-moschromatic
| rowspan="7" |2:1 to 1:1
| rowspan="7" |2:1 to 1:0
(general soft range)
| rowspan="7" |3:1 (hard)
| rowspan="7" |3:2
| rowspan="3" |(2x+y)L xs
(soft)
| rowspan="3" |p-mosenharmonic
| rowspan="3" |(2x+y)L (x+y)s
| rowspan="3" |2:1 to 3:1 (hypohard)
| rowspan="3" |m-mosenharmonic
| rowspan="3" |5:2 (semihard)
| rowspan="3" |2:1 to 3:2
|(2x+y)L (3x+y)s
(hyposoft)
|p-mosschismic
| rowspan="3" |5:3
|2:1 to 5:2 (minihard)
(semisoft)
|7:3
|(2x+y)L (3x+2y)s
|m-mosschismic
|2:1 to 5:3
(minisoft)
|7:4
|-
|-
|
|
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|
|
|-
|-
|(3x+2y)L (2x+y)s
|(3x+y)L (2x+y)s
|u-mosschismic
|q-mosschismic
|5:3 to 3:2
|5:2 to 3:1 (quasihard)
(quasisoft)
|8:3
|8:5
|-
|-
|
|
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|
|
|-
|-
| rowspan="3" |(x+y)L (2x+y)s
| rowspan="3" |xL (2x+y)s
| rowspan="3" |f-mosenharmonic
| rowspan="3" |s-mosenharmonic
| rowspan="3" |3:2 to 1:1
| rowspan="3" |3:1 to 1:0
| rowspan="3" |4:3
| rowspan="3" |4:1 (superhard)
(supersoft)
|(3x+y)L xs
|(3x+2y)L (x+y)s
|r-mosschismic
|a-mosschismic
|3:1 to 4:1 (parahard)
|3:2 to 4:3
|7:2
(parasoft)
|7:5
|-
|-
|
|
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|
|
|-
|-
|(x+y)L (3x+2y)s
|xL (3x+y)s
|f-mosschismic
|s-mosschismic
|4:3 to 1:1
|4:1 to 1:0 (ultrahard)
(ultrasoft)
|5:1
|5:4
|}
|}
{| class="wikitable"
{| class="wikitable"
|+Moschromatic, mosenharmonic, and mosschismic scales as shown in the mos family tree
|+Simplified table, without step ratios, sorted by position on mos family tree
!Parent scale
!Parent scale
! colspan="2" |Moschromatic scales
! colspan="2" |Moschromatic scales
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|}
|}


=== Example: 5L 2s ===
=== Reasoning for names (and example for 5L 2s) ===
The names for moschromatic scales are based on former names for the child scales for diatonic (5L 2s): p-chromatic (5L 7s) and m-chromatic (7L 5s). This was generalized to "chromatic", with the prefixes p- and m- for specificity. The names for mosenharmonic scales are based on discussions with xen Discord members for systematically naming the daughter and granddaughter scales of a mos, producing "enharmonic" with the prefixes s-, p-, f-, and m- for specificity.
 
This proposal initially considered grandchild scales of a mos, and the recent addition of great-grandchild scales was done for completeness. The use of "schismic" to refer to great-grandchild scales is subject to change (I'm open to better suggestions). The prefixes for mosschismic scales borrow those used for mosenharmonic scales (which itself borrows those used for moschromatic scales) and adds four additional prefixes: q- ('''q'''uasihard), r- (pa'''r'''ahard), a- (p'''a'''rasoft), and u- (q'''u'''asisoft) (also subject to change).
{| class="wikitable"
{| class="wikitable"
! colspan="3" |Parent scale
|+Names for descendent scales of 5L 2s
! colspan="3" |1st-order child scales
! colspan="2" |Diatonic scale
! colspan="3" |2nd-order child scales
! colspan="2" |Chromatic scales
! colspan="2" |Enharmonic scales
! colspan="2" |Schismic scales
|-
|-
!Steps
!Steps
!Name
!Name
!Notes
!Steps
!Steps
!Name
!Name
!Notes
!Steps
!Steps
!Name
!Name
!Notes
!Steps
!Name
|-
| rowspan="15" |5L 2s
| rowspan="15" |diatonic
| rowspan="7" |5L 7s
| rowspan="7" |p-chromatic
| rowspan="3" |5L 12s
| rowspan="3" |s-enharmonic
|5L 17s
|s-schismic
|-
|
|
|-
|17L 5s
|r-schismic
|-
|
|
|
|
|-
|-
| rowspan="7" |5L 2s
| rowspan="3" |12L 5s
| rowspan="7" |diatonic
| rowspan="3" |p-enharmonic
| rowspan="7" |Already established name.
|12L 17s
| rowspan="3" |5L 7s
|p-schismic
| rowspan="3" |p-chromatic
| rowspan="7" |Names are based on former names of these mosses: p-chromatic and m-chromatic.
If the distinction between p- and m- isn't needed, both scales may collectively be referred to as "chromatic".
|5L 12s
|s-enharmonic
| rowspan="7" |Names are based on discussions with xen discord members on attempting to name daughter and granddaughter scales in a systematic way.
If the distinction between s-, p-, f-, and m- isn't needed, all four scales may collectively be referred to as "enharmonic".
|-
|-
|
|
|
|
|-
|-
|12L 5s
|17L 12s
|p-enharmonic
|q-schismic
|-
|-
|
|
|
|
|
|
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|
|
|-
|-
| rowspan="3" |7L 5s
| rowspan="7" |7L 5s
| rowspan="3" |m-chromatic
| rowspan="7" |m-chromatic
|7L 12s
| rowspan="3" |7L 12s
|f-enharmonic
| rowspan="3" |f-enharmonic
|7L 19s
|f-schismic
|-
|-
|
|
|
|
|-
|-
|12L 7s
|19L 7s
|m-enharmonic
|a-schismic
|-
|
|
|
|
|-
| rowspan="3" |12L 7s
| rowspan="3" |m-enharmonic
|12L 19s
|m-schismic
|-
|
|
|-
|19L 12s
|u-schismic
|}
|}
== Suggested changes for mos pattern names ==
== Suggested changes for mos pattern names ==
This section describes changes to existing [[TAMNAMS]] names that I would make. (I made this list because there were Discord users with whom I shared a similar sentiment regarding the names of certain scales, mainly the mosses with the anti- prefix.)
This section describes changes to existing [[TAMNAMS]] names that I would make. (I made this list because there were Discord users with whom I shared a similar sentiment regarding the names of certain scales, mainly the mosses with the anti- prefix.)
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