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→Describing moschromatic and mosenharmonic scales: Added description for scales after mosenharmonic: mosschismic; may need refining later
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=== Describing moschromatic and mosenharmonic scales ===
=== Describing moschromatic, and, mosenharmonic, and mosschismic scales ===
This is a system for describing scales beyond the set of named TAMNAMS scales. Although this is already described by [[User:Frostburn]], this is how I would word it.
This is a system for describing scales beyond the set of named TAMNAMS scales. Although this is already described by [[User:Frostburn]], this is how I would word it.


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. Any mos will have 2 child scales, collectively referred to as moschromatic. Those child scales scales will have 2 child scales of their own, or 4 grandchild scales, collectively referred to as mosenharmonic. 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 child and grandchild scales for the mos 5L 3s (oneirotonic, prefix oneiro-) are oneirochromatic and oneiroenharmonic respectively. Note that the absence of a prefix will specifically describe the chromatic and enharmonic scales of 5L 2s. If talking about a specific scale, p-, m-, s-, or f- can be added based on the step ratio of the parent mos.
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 descendent scale is the grandchild of the parent scale, then the scales are collectively referred to as mosenharmonic scales.
* If the descendent scale is the great-grandchild of the parent scale, then the scales are collectively referred to as mosschismic scales. (tentative name; schismic means different things)
 
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.
 
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.


{| class="wikitable"
{| class="wikitable"
! colspan="2" |Parent scale
|+Moschromatic, mosenharmonic, and mosschismic scales sorted by step ratio
! colspan="3" |Moschromatic scales
! colspan="3" |Parent scale
! colspan="3" |Mosenharmonic scales
! colspan="4" |Moschromatic scales
! colspan="4" |Mosenharmonic scales
! colspan="4" |Mosschismic scales (names not finalized)
|-
|-
!Steps
!Steps
!Step ratio range
!Step ratio range
(hardest to softest)
(hardest to softest)
!Basic step ratio
!Steps
!Specific name
(with prefix)
!Step ratio range
(hardest to softest)
!Basic step ratio
(relative to parent)
!Steps
!Steps
!Specific name
!Specific name
(with prefix)
!Step ratio range
!Step ratio range
(hardest to softest)
(hardest to softest)
!Basic step ratio
(relative to parent)
!Steps
!Steps
!Specific name
!Specific name
(with prefix)
!Step ratio range
!Step ratio range
(hardest to softest)
(hardest to softest)
!Basic step ratio
(relative to parent)
|-
| rowspan="15" |xL ys
| rowspan="15" |1:0 to 1:1
| rowspan="15" |2:1
(basic)
| rowspan="7" |xL (x+y)s
| rowspan="7" |p-moschromatic
| rowspan="7" |1:0 to 2:1
(general hard range)
| rowspan="7" |3:1
(hard)
| rowspan="3" |xL (2x+y)s
| rowspan="3" |s-mosenharmonic
| rowspan="3" |1:0 to 3:1
| rowspan="3" |4:1
(superhard)
|xL (3x+y)s
|s-mosschismic
|1:0 to 4:1
(ultrahard)
|5:1
|-
|
|
|
|
|-
|(3x+y)L xs
|r-mosschismic
|4:1 to 3:1
(parahard)
|7:2
|-
|
|
|
|
|
|
|
|
|-
| rowspan="3" |(2x+y)L xs
| rowspan="3" |p-mosenharmonic
| rowspan="3" |3:1 to 2:1
(hypohard)
| rowspan="3" |5:2
(semihard)
|(3x+y)L (2x+y)s
|q-mosschismic
|3:1 to 5:2
(quasihard)
|8:3
|-
|
|
|
|
|-
|(2x+y)L (3x+y)s
|p-mosschismic
|5:2 to 2:1
(minihard)
|7:3
|-
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|-
| rowspan="7" |(x+y)L xs
| rowspan="7" |m-moschromatic
| rowspan="7" |2:1 to 1:1
(general soft range)
| rowspan="7" |3:2
(soft)
| rowspan="3" |(2x+y)L (x+y)s
| rowspan="3" |m-mosenharmonic
| rowspan="3" |2:1 to 3:2
(hyposoft)
| rowspan="3" |5:3
(semisoft)
|(2x+y)L (3x+2y)s
|m-mosschismic
|2:1 to 5:3
(minisoft)
|7:4
|-
|
|
|
|
|-
|-
| rowspan="7" |xL ys
|(3x+2y)L (2x+y)s
| rowspan="7" |1:0 to 1:1
|u-mosschismic
| rowspan="3" |xL (x+y)s
|5:3 to 3:2
| rowspan="3" |p-moschromatic
(quasisoft)
| rowspan="3" |1:0 to 2:1
|8:5
|xL (2x+y)s
|s-mosenharmonic
|1:0 to 3:1
|-
|-
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|-
|-
|(2x+y)L xs
| rowspan="3" |(x+y)L (2x+y)s
|p-mosenharmonic
| rowspan="3" |f-mosenharmonic
|3:1 to 2:1
| rowspan="3" |3:2 to 1:1
| rowspan="3" |4:3
(supersoft)
|(3x+2y)L (x+y)s
|a-mosschismic
|3:2 to 4:3
(parasoft)
|7:5
|-
|-
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Line 1,466: Line 1,599:
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|-
|(x+y)L (3x+2y)s
|f-mosschismic
|4:3 to 1:1
(ultrasoft)
|5:4
|}
{| class="wikitable"
|+Moschromatic, mosenharmonic, and mosschismic scales as shown in the mos family tree
!Parent scale
! colspan="2" |Moschromatic scales
! colspan="2" |Mosenharmonic scales
! colspan="2" |Mosschismic scales
|-
!Steps
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
|-
| rowspan="15" |xL ys
| rowspan="7" |xL (x+y)s
| rowspan="7" |p-moschromatic
| rowspan="3" |xL (2x+y)s
| rowspan="3" |s-mosenharmonic
|xL (3x+y)s
|s-mosschismic
|-
|
|
|
|
|-
|-
| rowspan="3" |(x+y)L xs
|(3x+y)L xs
| rowspan="3" |m-moschromatic
|r-mosschismic
| rowspan="3" |2:1 to 1:1
|(x+y)L (2x+y)s
|f-mosenharmonic
|3:2 to 1:1
|-
|-
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|-
| rowspan="3" |(2x+y)L xs
| rowspan="3" |p-mosenharmonic
|(2x+y)L (3x+y)s
|p-mosschismic
|-
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|-
|(3x+y)L (2x+y)s
|q-mosschismic
|-
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|-
| rowspan="7" |(x+y)L xs
| rowspan="7" |m-moschromatic
| rowspan="3" |(x+y)L (2x+y)s
| rowspan="3" |f-mosenharmonic
|(x+y)L (3x+2y)s
|f-mosschismic
|-
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|-
|(3x+2y)L (x+y)s
|a-mosschismic
|-
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|-
| rowspan="3" |(2x+y)L (x+y)s
| rowspan="3" |m-mosenharmonic
|(2x+y)L (3x+2y)s
|m-mosschismic
|-
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|-
|-
|(2x+y)L (x+y)s
|(3x+2y)L (2x+y)s
|m-mosenharmonic
|u-mosschismic
|2:1 to 3:2
|}
|}


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