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== On 1L 1s, 1L 2s, and 2L 1s ==
== On various mosses, with extended scale names ==
This is an attempt to describe 1L 1s (prototonic/protic), 1L 2s (antideuterotonic/antideuteric), and 2L 1s (deuterotonic/deuteric). These descriptions are only for completeness.
This is an attempt to describe various mosses that I feel are worth describing, even for completion. This contains unofficial scale names that try to be as close to existing TAMNAMS names as possible. The following table shows single-period mosses sorted by generation, including TAMNAMS names, named monolarge (1L ns) scales (italicized), and extended names (marked with asterisks).
 
{| class="wikitable mw-collapsible"
This includes non-official TAMNAMS names that are based on existing names and are used solely for completeness:
! colspan="12" |Mos Family Tree (single-period only), with TAMNAMS Names
 
italics denote 1L ns scales (named for completeness); asterisks denote non-official names (from my own notes)
* 1L 1s - protic or prototonic, named such for being the progenitor scale for all single-period mosses
|-
* 2L 1s - deuteric or deuterotonic, named such for being the children of 1L 1s, and thus being part of the second generation of scales; likewise, 1L 2s may be named antideuteric or antideuterotonic
! colspan="2" |Progenitor scale
* 3L 1s - tetric, named based on the names pentic and antipentic; likewise, 1L 3s may be named antitetric
! colspan="2" |1st-order child mosses
 
! colspan="2" |2nd-order child mosses
=== 1L 1s ===
! colspan="2" |3rd-order child mosses
1L 1s is the mos pattern Ls. Though not a scale in its own right, it has the unique designation of being the parent scale of all possible single-period mosses. Its daughter mosses are 1L 2s and 2L 1s, and it's through these that more familiar mosses start to take shape, especially the pentatonic mosses 2L 3s and 3L 2s. It's also the only (single-period) scale that is its own sister.
! colspan="2" |4th-order child mosses
 
! colspan="2" |5th-order child mosses
==== Modes ====
|-
1L 1s only has two modes.
!Steps
{| class="wikitable"
!Scale name
!Step Pattern
!Steps
!UDP
!Scale name
!0-step
!Steps
!1-step
!Scale name
!2-step
!Steps
!Scale name
!Steps
!Scale name
!Steps
!Scale name
|-
| rowspan="63" |1L 1s
| rowspan="63" |prototonic*
| rowspan="31" |1L 2s
| rowspan="31" |''antideuteric*''
| rowspan="15" |1L 3s
| rowspan="15" |''antitetric*''
| rowspan="7" |1L 4s
| rowspan="7" |''antimanic''
| rowspan="3" |1L 5s
| rowspan="3" |''antimachinoid''
|1L 6s
|''anti-archeotonic''
|-
|
|
|-
|6L 1s
|archeotonic
|-
|
|
|
|
|-
| rowspan="3" |5L 1s
| rowspan="3" |machinoid
|5L 6s
|
|-
|
|
|-
|6L 5s
|
|-
|
|
|
|
|
|
|-
| rowspan="7" |4L 1s
| rowspan="7" |manic
| rowspan="3" |4L 5s
| rowspan="3" |orwelloid
|4L 9s
|
|-
|
|
|-
|9L 4s
|
|-
|
|
|
|
|-
| rowspan="3" |5L 4s
| rowspan="3" |semiquartal
|5L 9s
|
|-
|
|
|-
|9L 5s
|
|-
|
|
|
|
|
|
|
|
|-
| rowspan="15" |3L 1s
| rowspan="15" |tetric*
| rowspan="7" |3L 4s
| rowspan="7" |mosh
| rowspan="3" |3L 7s
| rowspan="3" |sephiroid
|3L 10s
|
|-
|
|
|-
|10L 3s
|
|-
|
|
|
|
|-
| rowspan="3" |7L 3s
| rowspan="3" |dicotonic
|7L 10s
|
|-
|
|
|-
|10L 7s
|
|-
|
|
|
|
|
|
|-
| rowspan="7" |4L 3s
| rowspan="7" |smitonic
| rowspan="3" |4L 7s
| rowspan="3" |kleistonic
|4L 11s
|
|-
|
|
|-
|11L 4s
|
|-
|
|
|
|
|-
| rowspan="3" |7L 4s
| rowspan="3" |suprasmitonic
|7L 11s
|
|-
|
|
|-
|11L 7s
|
|-
|
|
|
|
|
|
|
|
|
|
|-
| rowspan="31" |2L 1s
| rowspan="31" |deuteric*
| rowspan="15" |2L 3s
| rowspan="15" |pentic
| rowspan="7" |2L 5s
| rowspan="7" |antidiatonic
| rowspan="3" |2L 7s
| rowspan="3" |joanatonic
|2L 9s
|
|-
|
|
|-
|9L 2s
|
|-
|
|
|
|
|-
| rowspan="3" |7L 2s
| rowspan="3" |superdiatonic
|7L 9s
|
|-
|
|
|-
|9L 7s
|
|-
|
|
|
|
|
|
|-
| rowspan="7" |5L 2s
| rowspan="7" |diatonic
| rowspan="3" |5L 7s
| rowspan="3" |p-chromatic
|5L 12s
|p-superchromatic*
|-
|
|
|-
|12L 5s
|p-suprachromatic*
|-
|
|
|
|
|-
| rowspan="3" |7L 5s
| rowspan="3" |m-chromatic
|7L 12s
|m-suprachromatic*
|-
|
|
|-
|12L 7s
|m-superchromatic*
|-
|
|
|
|
|
|
|
|
|-
| rowspan="15" |3L 2s
| rowspan="15" |antipentic
| rowspan="7" |3L 5s
| rowspan="7" |sensoid
| rowspan="3" |3L 8s
| rowspan="3" |
|3L 11s
|
|-
|
|
|-
|11L 3s
|
|-
|
|
|
|
|-
| rowspan="3" |8L 3s
| rowspan="3" |
|8L 11s
|
|-
|
|
|-
|11L 8s
|
|-
|-
|Ls
|
|<nowiki>1|0</nowiki>
|
|0
|
|L
|
|L+s
|
|
|-
|-
|sL
| rowspan="7" |5L 3s
|<nowiki>0|1</nowiki>
| rowspan="7" |oneirotonic
|0
| rowspan="3" |5L 8s
|s
| rowspan="3" |
|L+s
|5L 13s
|}
|
 
=== 1L 2s ===
1L 2s is the mos pattern Lss. Though not a scale in its own right, it's the progenitor scale of two of the tetratonic mosses - 1L 3s and 3L 1s, or antitetric and tetric.
 
==== Modes ====
{| class="wikitable"
!Step Pattern
!UDP
!0-step
!1-step
!2-step
!3-step
|-
|-
|Lss
|
|<nowiki>2|0</nowiki>
|
|0
|L
|L+s
|L+2s
|-
|-
|sLs
|13L 5s
|<nowiki>1|1</nowiki>
|
|0
|s
|L+s
|L+2s
|-
|-
|ssL
|
|<nowiki>0|2</nowiki>
|
|0
|
|s
|
|2s
|L+2s
|}
 
=== 2L 1s ===
2L 1s is the mos pattern LLs. Though not a scale in its own right, it's the progenitor scale of two of the pentatonic mosses - 2L 3s and 3L 2s, or pentic and antipentic.
 
==== Modes ====
{| class="wikitable"
!Step Pattern
!UDP
!0-step
!1-step
!2-step
!3-step
|-
|-
|LLs
| rowspan="3" |8L 5s
|<nowiki>2|0</nowiki>
| rowspan="3" |
|0
|8L 13s
|L
|
|2L
|2L+s
|-
|-
|LsL
|
|<nowiki>1|1</nowiki>
|
|0
|L
|2L
|2L+s
|-
|-
|sLL
|13L 8
|<nowiki>0|2</nowiki>
|0
|s
|L+s
|2L+s
|}
|}


== On 7L 5s and its child mosses ==
=== 1L 1s, 1L 2s, and 2L 1s ===
This is a description of 7L 5s and its child mosses (12L 7s and 7L 12s) from my personal notes. (work-in-progress)
These three scales - 1L 1s, 1L 2s, and 2L 1s - have potentially too few notes to be considered true scales, hence these descriptions are for completeness.
 
* 1L 1s, named prototonic or protic, is the progenitor scale of all single-period mosses, and the name of prototonic reflects this (proto- meaning first).
* 2L 1s, named deuterotonic or deuteric, is one of two child scales of 1L 1s, and the name deuterotonic reflects this (deutero- meaning second). Its sister of 1L 2s, named antideuterotonic or antideuteric, being a monolarge scale, is named after 2L 1s with the anti- prefix added.
 
=== 3L 1s and 1L 3s ===
This pair of scales - 1L 3s and 3L 1s - represent a gap in the section of second-order child mosses.
 
* 3L 1s, named tetric, is the parent scale of both mosh and smitonic and can be seen as a four-note equivalent of pentic, hence the name (tetra- meaning four).
* 1L 3s, named antitetric, is the sister of tetric. If monolarge scales are better seen as subsets of (n+1)L 1s scales, then the sisters of monolarge scales may be seen as being the parent scale for successive scales the same way pentic is the parent of diatonic, rather than going down a chain of monolarge scales (1L ns, 1L (n-1)s, 1L (n-2)s, etc). Therefore,  the description of 1L 3s here is for completeness.
 
=== 7L 5s and its child mosses ===
(work-in-progress)
 
=== 5L 7s and its child mosses ===
(work-in-progress)
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