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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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== Proposal: Equave-agnostic mos names (work-in-progress) ==
== 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]].
This is an attempt at naming mosses, much like [[TAMNAMS]] and with [[MOS Naming Scheme|past naming schemes]]. However, whereas most mos naming systems focus on naming mosses in an octave-equivalent context, this system uses names for an equave-agnostic context, which may be useful when talking about non-octave mosses such as tritave-equivalent or fifth-equivalent scales, or talking about nested mos pattern, such as with a [[MOS Cradle|mos cradle]].


If anything, this is an exercise in completeness.
If anything, this is an exercise in completeness.
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|trivial
|trivial
|triv-
|triv-
|Trivial mos, and hence named trivial.
|Trivial mos, and hence named trivial.
|Latin
|Latin
|-
|-
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|2L 1s
|2L 1s
|Yes
|Yes
|(an)trial
|antrial and trial
|(a)tri-
|(a)tri-
|Three-note mosses that descend from the trivial mos.
|Three-note mosses that descend from the trivial mos.
|Latin
|Greek/Latin
|-
|-
! colspan="7" |4-note mosses (from TAMNAMS)
! colspan="7" |4-note mosses (from TAMNAMS)
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|3L 1s
|3L 1s
|Yes
|Yes
|(an)tetric
|antetric and tetric
|(a)tet-
|(a)tet-
|Four-note mosses that descend from antrial.
|Four-note mosses that descend from antrial.
|Greek
|Greek
|-
|-
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|2-trivial
|2-trivial
|
|
|Two copies of the trivial mos pattern.
|Two copies of the trivial mos pattern.
|
|
|-
|-
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|3L 2s
|3L 2s
|Yes
|Yes
|(an)pentic
|antipentic and pentic
|(a)pent-
|(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.
|In reference to the pentatonic scale. Note that 2L 3s is pentic, and 3L 2s is anpentic; this is because the pentatonic scale, a subset of the familiar diatonic scale, is of the form 2L 3s.
|Greek
|Greek
|-
|-
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|2-antrial and 2-trial
|2-antrial and 2-trial
|
|
|2 copies of the (an)trial mos patterns.
|2 copies of the (an)trial mos patterns.
|
|
|-
|-
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|3-trivial
|3-trivial
|
|
|3 copies of the trivial mos pattern.
|3 copies of the trivial mos pattern.
|
|
|-
|-
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|
|
|
|
|4 copies of the trivial mos pattern.
|4 copies of the trivial mos pattern.
|
|
|-
|-
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| rowspan="2" |2L 5s
| rowspan="2" |2L 5s
| rowspan="2" |anheptic
| rowspan="2" |anheptic
|7L 2s
|7L 2s
|anennaic
|anennaic
|-
|-
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=== Reasoning for names ===
=== 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-.
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 already may be used for non-octave periods, and as such, equave-agnostic 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, 5L 1s and 1L 5s, the pair is named '''hexic'''.


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 problem is to name mosses with a unique name, which is solved by using numeric prefixes based on different languages, not only Greek or Latin. 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 seven. 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 ṣaṭ-, which also means seven.


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.
From here, mosses of n+1 notes follow this pattern: 1L ns and nL 1s are named after Sanskrit, then the following pair is named after Greek, and then Latin. Multi-period mosses are skipped in this process. 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).


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).
As with TAMNAMS, only mosses with no more than 10 notes are named.


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.
Multi-period mosses are not given their own, unique names. Rather, for a mos xL ys where x and y share a greatest common factor of k, the name reflects some smaller base mos xL ys duplicated k times; for example, 5L 5s is named 5-trivial, and 2L 6s is named 2-antetric.


=== Proposal for mos extensions ===
=== Proposal for naming equave-agnostic mosdescendants ===
Proposed prefixes for naming mosdescendants are shown in the table below.
Mosdescendants are named by adding prefixes to the base names described above, but only to those whose child mosses exceed 10 notes. The proposed prefixes are listed below.
{| class="wikitable"
{| class="wikitable"
|+
|+
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