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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 scale is the child of the parent scale, then the scale is moschromatic.
* If the scale is the child of the parent scale, then the scale is '''moschromatic'''.
* If the scale is the grandchild of the parent scale, then the scale is mosenharmonic
* If the scale is the grandchild of the parent scale, then the scale is '''mosenharmonic'''
* 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)
* If the scale is the great-grandchild of the parent scale, then the scale is '''mosschismic'''. (tentative name; [[Schismatic family|schismic]] refers to a family of temperaments; open to better name suggestions)
* If the scale is more than 3 generations from the parent, or if referring to any scale that descends from a mos, then the scale is a '''mosdescendent''' scale.


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.
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, grandchild, and great-grandchild scales for the mos 5L 3s (oneirotonic, prefix oneiro-) are oneirochromatic, oneiroenharmonic, and oneiroschismic respectively, and the entire family of mosses related to oneirotonic are oneirodescendents.
 
Additionally, the lack of a prefix will specifically describe the descendent scales of 5L 2s: chromatic, enharmonic, and schismic. Descendents of 5L 2s are specifically referred to as "diatonic descendents" rather than "descendents"


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.
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
|+Mosdescendent scales sorted by step ratio
! colspan="3" |Parent scale
! colspan="3" |Parent scale
! colspan="4" |Moschromatic scales
! colspan="4" |Moschromatic scales