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→Interpreting UDP as two mode enumeration methods: Added proposal for equave-agnostic mos names; currently separate from TAMNAMS notes page since this transcends TAMNAMS in a way
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This notion of favoring a generator can also extend to mosses that come after a specific mos, such as the chromatic mosses of 5L 7s and 7L 5s for 5L 2s, where the chroma-positive generators (relative to 5L 2s) are the perfect 5th and perfect 4th respectively, though it may be possible to think of the generator of either mos as being the perfect 5th regardless.
This notion of favoring a generator can also extend to mosses that come after a specific mos, such as the chromatic mosses of 5L 7s and 7L 5s for 5L 2s, where the chroma-positive generators (relative to 5L 2s) are the perfect 5th and perfect 4th respectively, though it may be possible to think of the generator of either mos as being the perfect 5th regardless.
== Proposal: Equave-agnostic mos names (work-in-progress) ==
This is an attempt at naming mosses, much like [[TAMNAMS]] and past naming schemes. However, whereas most mos naming system focus on naming mosses in an octave-equivalent context, this system names attempts to use [[equave]]-agnostic names, which may be useful when talking about non-octave mosses, or talking about a [[MOS Cradle|mos pattern within another mos pattern]].
If anything, this is an exercise in completeness.
=== Table and scale tree of mos pattern names ===
{| class="wikitable"
! colspan="7" |2-note mosses (from TAMNAMS)
|-
! colspan="2" |Mos pair
!Single-period?
!Names
!Prefix
!Etymology
!Language
|-
| colspan="2" |1L 1s
|Yes
|trivial
|triv-
|Trivial mos, and  hence named trivial.
|Latin
|-
! colspan="7" |3-note mosses (from TAMNAMS)
|-
! colspan="2" |Mos pair
!Single-period?
!Names
!Prefix
!Etymology
!Language
|-
|1L 2s
|2L 1s
|Yes
|(an)trial
|(a)tri-
|Three-note mosses  that descend from the trivial mos.
|Latin
|-
! colspan="7" |4-note mosses (from TAMNAMS)
|-
! colspan="2" |Mos pair
!Single-period?
!Names
!Prefix
!Etymology
!Language
|-
|1L 3s
|3L 1s
|Yes
|(an)tetric
|(a)tet-
|Four-note mosses that  descend from antrial.
|Greek
|-
| colspan="2" |2L 2s
|No
|2-trivial
|
|Two copies of the  trivial mos pattern.
|
|-
! colspan="7" |5-note mosses (from TAMNAMS)
|-
! colspan="2" |Mos pair
!Single-period?
!Names
!Prefix
!Etymology
!Language
|-
|1L 4s
|4L 1s
|Yes
|pedal and manual
|ped- and manu-
|In reference to feet (one big toe and four smaller toes) and hands (four long fingers and one shorter thumb).
|Latin
|-
|2L 3s
|3L 2s
|Yes
|(an)pentic
|(a)pent-
|In reference to the  pentatonic scale. Note that 2L 3s is pentic, and 3L 2s is anpentic; this is  because 2L 3s is the parent mos of 5L 2s.
|Greek
|-
! colspan="7" |6-note mosses
|-
! colspan="2" |Mos pair
!Single-period?
!Names
!Prefix
!Etymology
!Language
|-
|1L 5s
|5L 1s
|Yes
|anhexic and hexic
|(an)hexa-
|From hex-, meaning six; there is only one pair of single-period hexatonic mosses.
|Greek
|-
|2L 4s
|4L 2s
|No
|2-antrial and 2-trial
|
|2 copies of the  (an)trial mos patterns.
|
|-
| colspan="2" |3L 3s
|No
|3-trivial
|
|3 copies of the  trivial mos pattern.
|
|-
! colspan="7" |7-note mosses
|-
! colspan="2" |Mos pair
!Single-period?
!Names
!Prefix
!Etymology
!Language
|-
|1L 6s
|6L 1s
|Yes
|ansaptic and saptic
|(an)sap-
|These mosses appear further down the mos family tree. Sanskrit is used to differentiate them from the other four mosses.
|Sanskrit
|-
|2L 5s
|5L 2s
|Yes
|anheptic and heptic
|(an)hept-
|In reference to diatonic being a heptatonic scale, perhaps the most well-known heptatonic mos.
|Greek
|-
|3L 4s
|4L 3s
|Yes
|anseptenic and septenic
|(an)sept-
|Latin prefix is used to differentiate these mosses from heptic and anheptic. Septenic has a similar stress pattern as smitonic, coincidentally.
|Latin
|-
! colspan="7" |8-note mosses
|-
! colspan="2" |Mos pair
!Single-period?
!Names
!Prefix
!Etymology
!Language
|-
|1L 7s
|7L 1s
|Yes
|anastaic and astaic
|(an)asta-
|Follows same pattern with heptatonic mosses where 1L ns and nL 1s are named using Sanskrit.
|Sanskrit
|-
|2L 6s
|6L 2s
|No
|2-antetric and 2-tetric
|
|2 copies of the (an)tetric mos patterns.
|
|-
|3L 5s
|5L 3s
|Yes
|anoctic and octic
|(an)oct-
|If going by generational depth from 1L 1s, 3L 5s and 5L 3s are the first octatonic scales encountered. (Greek and Latin prefixes for eight are too similar.)
|Greek/Latin
|-
| colspan="2" |4L 4s
|No
|
|
|4 copies of the  trivial mos pattern.
|
|-
! colspan="7" |9-note mosses
|-
! colspan="2" |Mos pair
!Single-period?
!Names
!Prefix
!Etymology
!Language
|-
|1L 8s
|8L 1s
|Yes
|annavic and navic
|(an)nav-
|Follows pattern with heptatonic mosses where 1L ns and nL 1s are named using Sanskrit.
|Sanskrit
|-
|2L 7s
|7L 2s
|Yes
|anennaic and ennaic
|(an)enna-
|Follows pattern with heptatonic mosses where the next mos pair after 1L ns and nL 1s are named using Greek.
|Greek
|-
|3L 6s
|6L 3s
|No
|3-antrial and 3-trial
|
|3 copies of the (an)trial mos patterns.
|
|-
|4L 5s
|5L 4s
|Yes
|annovemic and novemic
|(an)nov-
|Follows pattern with heptatonic where the 2nd next mos pair after 1L ns and nL 1s are named using Latin.
|Latin
|-
! colspan="7" |10-note mosses
|-
! colspan="2" |Mos pair
!Single-period?
!Names
!Prefix
!Etymology
!Language
|-
|1L 9s
|9L 1s
|Yes
|andashic and dashic
|(an)dash-
|Follows pattern with heptatonic mosses where 1L ns and nL 1s are named using Sanskrit.
|Sanskrit
|-
|2L 8s
|8L 2s
|No
|2-manual and 2-pedal
|
|2 copies of the pedal or manual mos patterns.
|
|-
|3L 7s
|7L 3s
|Yes
|andekic and dekic
|(an)dek-
|Follows pattern with heptatonic mosses where the next mos pair after 1L ns and nL 1s are named using Greek.
|Greek
|-
|4L 6s
|6L 4s
|No
|2-pentic and 2-anpentic
|
|2 copies of the (an)pentic mos patterns.
|
|-
| colspan="2" |5L 5s
|No
|5-trivial
|
|5 copies of the trivial mos pattern.
|
|}
{| class="wikitable"
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
|-
| rowspan="16" |1L 1s
| rowspan="16" |''trivial''
| rowspan="11" |1L 2s
| rowspan="11" |''antrial''
| rowspan="8" |1L 3s
| rowspan="8" |''antetric''
| rowspan="6" |1L 4s
| rowspan="6" |''pedal''
| rowspan="5" |1L 5s
| rowspan="5" |anhexic
| rowspan="4" |1L 6s
| rowspan="4" |ansaptic
| rowspan="3" |1L 7s
| rowspan="3" |anastaic
| rowspan="2" |1L 8s
| rowspan="2" |annavic
|1L  9s
|andashic
|-
|9L 1s
|dashic
|-
|8L 1s
|navic
| colspan="2" rowspan="14" |
|-
|7L 1s
|astaic
| colspan="2" rowspan="13" |
|-
|6L 1s
|saptic
| colspan="2" rowspan="12" |
|-
|5L 1s
|hexic
| colspan="2" rowspan="11" |
|-
| rowspan="2" |4L 1s
| rowspan="2" |''manual''
|5L 4s
|novemic
|-
|4L 5s
|annovemic
|-
| rowspan="3" |3L 1s
| rowspan="3" |''tetric''
|4L 3s
|septenic
| colspan="2" |
|-
| rowspan="2" |3L 4s
| rowspan="2" |anseptenic
|7L 3s
|deckic
|-
|3L 7s
|andeckic
|-
| rowspan="5" |2L 1s
| rowspan="5" |''trial''
| rowspan="2" |3L 2s
| rowspan="2" |''antipentic''
|3L 5s
|anoctic
| colspan="2" rowspan="3" |
|-
|5L 3s
|octic
|-
| rowspan="3" |2L 3s
| rowspan="3" |''pentic''
|5L 2s
|heptic
|-
| rowspan="2" |2L 5s
| rowspan="2" |anheptic
|7L  2s
|anennaic
|-
|2L 7s
|ennaic
|}
=== Reasoning for names ===
Names for these mosses are meant to be as general as possible, following in the spirit of TAMNAMS names for mosses up to 5 notes. In fact, those names are borrowed from TAMNAMS as they may be used for non-octave periods, and new names are given starting at 6-note mosses, using numerical prefixes that suggest how many steps (or notes) each mos has. Mosses are named in pairs of xL ys and yL xs, where the mos with more small steps than large steps is given the an- prefix, short for anti-.
As there is only one pair of 6-note single-period mosses, the pair is named '''hexic'''.
With 7-note mosses, there are three pairs of mosses. The pair for 5L 2s and 2L 5s is named '''heptic''', in reference to how 5L 2s (TAMNAMS name of diatonic) is the most well-known heptatonic mos, where hepta- is Greek for seven. Similarly, the pair 4L 3s and 3L 4s is the same number of generations away from the root (1L 1s) as 5L 2s and 2L 5s, and is named '''septenic''', where sept- is Latin for 7. The third pair, 6L 1s and 1L 6s, is farther from the root than the other two mosses, and is named '''saptic''', based off of Sanskrit. Mosses thereby follow this pattern: 1L ns and nL 1s are named after Sanskrit, then the following pair is named after Greek, and then Latin.
WIth 8-note mosses, there are only two pairs, and are named '''astaic''' (7L 1s and 1L 7s) and '''octic''' (5L 3s and 3L 5s) respectively. As with saptic and heptic, astaic is further from the root than octic. With 9-note mosses, there are three pairs again: '''navic''' (8L 1s and 1L 8s), '''ennaic''' (7L 2s and 2L 7s), and '''novemic''' (4L 5s and 5L 4s). Finally, with 10-note mosses, there are two more pairs: '''dashic''' (9L 1s and 1L 9s) and '''dekic''' (7L 3s and 3L 7s).
Multi-period mosses encountered this way are not given their own names; rather, they're referred to as '''n-mosname''', where n is the number of times a smaller mos period is duplicated and mosname is the name of the mos being described. For example, 5L 5s is named 5-trivial.
=== Proposal for mos extensions ===
Proposed prefixes for naming mosdescendants are shown in the table below.
{| class="wikitable"
|+
!Extension prefix
!Meaning
!Reasoning
!Example
|-
|eka-
|Child mos
|Sanskrit for one; follows similar logic as eka-elements that Dmitri Mendeleev had named.
|ekaheptic, referring to 7L 5s and 5L 7s
|-
|dvi-
|Grandchild mos
|Sanskrit for two; follows similar logic as dvi-elements that Dmitri Mendeleev had named.
|dviheptic, referring to 5A 12B and 7A 12B
|-
|meta-
|Any mos any number of generations from a named mos
|The Sanskrit prefix of tri- isn't used to avoid confusion with the tri- prefix used for trial.
|metaheptic
|}
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