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Proposal: Naming mosses with more than 10 steps (work-in-progress): Simplified mos descendant names a lot more; remove "other notes" section to better simulate/sandbox a finalized section
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This is a subpage for [[TAMNAMS]]-related notes, containing various proposals of varying degrees of usefulness and other useful things. This also contains rewrites of sections of the main TAMNAMS page that aren't quite ready to be deployed.
This is a subpage for [[TAMNAMS]]-related notes, containing various proposals of varying degrees of usefulness and other useful things. This also contains rewrites of sections of the main TAMNAMS page that aren't quite ready to be deployed.
== Ordinal-indexed versus zero-indexed names ==
(Personal notes; may clarify later.)
The use of ordinal indexing for naming mos intervals and degrees is generally discouraged when referring to non-diatonic mos intervals. Ordinal indexing is reserved for describing diatonic interval categories.


== Sandboxed section: Naming mos modes ==
== Sandboxed section: Naming mos modes ==
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* For single-period mosses, the UDP is notated as ''u''|''d'', where ''u'' is the number of bright generators stacked ''above'' the tonic, ''d'' is the number of bright generators stacked ''below'' the tonic, and "|" is pronounced as "pipe". The full name of a mos's mode is '''xL ys u|d'''.
* For single-period mosses, the UDP is notated as ''u''|''d'', where ''u'' is the number of bright generators stacked ''above'' the tonic, ''d'' is the number of bright generators stacked ''below'' the tonic, and "|" is pronounced as "pipe". The full name of a mos's mode is '''xL ys u|d'''.


* For multi-period mosses with ''p'' periods, the UDP of is notated as ''up''|''dp''(''p''). Since there are generators being stacked above and below every mosperiod - not just the tonic - there are in total ''u times p'' and ''d times p'' generators being stacked above and below their respective starting pitches. The full name in this case is '''xL ys up|dp(p)'''.
* For multi-period mosses with ''p'' periods, the UDP of is notated as ''up''|''dp''(''p''). Since there are generators being stacked above and below every period - not just the tonic - there are in total ''u times p'' and ''d times p'' generators being stacked above and below their respective starting pitches. The full name in this case is '''xL ys up|dp(p)'''.


To make notation easier, TAMNAMS makes the following modifications to UDP notation:
To make notation easier, TAMNAMS makes the following modifications to UDP notation:


* The UDP for multi-period mosses may be written as ''u|d''(''p'') rather than ''up|dp''(''p''). This is because the period already appears in both the quantity of bright (''u times p'') and dark (''d times p'') generators, so omitting the ''p'' term makes the notation less redundant. In contexts where it doesn't cause confusion, the notation can be simplified further to ''u|d.''
* The UDP for the mode of a multi-period mosses may be written as ''u|d''(''p'') rather than ''up|dp''(''p''). This is because the period already appears in both the quantity of bright (''u times p'') and dark (''d times p'') generators, so omitting the ''p'' term makes the notation less redundant. In contexts where it doesn't cause confusion, the notation can be simplified further to ''u|d.''


* The UDP for a mode may be shortened to "u|" under the reasoning that omitting the ''d'' term, which can be inferred by the ''u'' term, makes the notation less redundant. For example, "5L 3s 5|", which refers to LsLLsLLs, is read as "5 ell 3 ess 5 pipe".
* The UDP for a mode, single-period or multi-period, may be shortened to "u|" under the reasoning that omitting the ''d'' term, which can be inferred by the ''u'' term, makes the notation less redundant. For example, "5L 3s 5|", which refers to LsLLsLLs, is read as "5 ell 3 ess 5 pipe".
** The shortened notation of "u|" is sufficient in most cases, but in situations where it makes more sense to think in terms of the dark generator, such as with a mos whose dark generator is the bright generator of a related mos, the notation is instead "|d".
** The shortened notation of "u|" is sufficient in most cases, but in situations where it makes more sense to think in terms of the dark generator, such as with a mos whose dark generator is the bright generator of a related mos, the notation is instead "|d".


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!Mode
!Mode
!Rotational order
!Rotational order
!UDP
!Simplified UDP
!mosunison
!mosunison
!1-mosstep
!1-mosstep
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|LLsLLsLs
|LLsLLsLs
|0
|0
|<nowiki>7|0</nowiki>
|<nowiki>7|</nowiki>
|0 (perfect)
|0 (perfect)
|L (major)
|L (major)
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|LsLLsLsL
|LsLLsLsL
|1
|1
|<nowiki>4|3</nowiki>
|<nowiki>4|</nowiki>
|0 (perfect)
|0 (perfect)
|L (major)
|L (major)
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|sLLsLsLL
|sLLsLsLL
|2
|2
|<nowiki>1|6</nowiki>
|<nowiki>1|</nowiki>
|0 (perfect)
|0 (perfect)
|s (minor)
|s (minor)
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|LLsLsLLs
|LLsLsLLs
|3
|3
|<nowiki>6|1</nowiki>
|<nowiki>6|</nowiki>
|0 (perfect)
|0 (perfect)
|L (major)
|L (major)
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|LsLsLLsL
|LsLsLLsL
|4
|4
|<nowiki>3|4</nowiki>
|<nowiki>3|</nowiki>
|0 (perfect)
|0 (perfect)
|L (major)
|L (major)
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|sLsLLsLL
|sLsLLsLL
|5
|5
|<nowiki>0|7</nowiki>
|<nowiki>0|</nowiki>
|0 (perfect)
|0 (perfect)
|s (minor)
|s (minor)
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|LsLLsLLs
|LsLLsLLs
|6
|6
|<nowiki>5|2</nowiki>
|<nowiki>5|</nowiki>
|0 (perfect)
|0 (perfect)
|L (major)
|L (major)
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|sLLsLLsL
|sLLsLLsL
|7
|7
|<nowiki>2|5</nowiki>
|<nowiki>2|</nowiki>
|0 (perfect)
|0 (perfect)
|s (minor)
|s (minor)
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|LssLssLss
|LssLssLss
|<nowiki>3L 6s 2|</nowiki>
|<nowiki>3L 6s 2|</nowiki>
|<nowiki>2|0</nowiki>
|<nowiki>2|</nowiki>
|0
|0
|0 (perfect)
|0 (perfect)
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|sLssLssLs
|sLssLssLs
|<nowiki>3L 6s 1|</nowiki>
|<nowiki>3L 6s 1|</nowiki>
|<nowiki>1|1</nowiki>
|<nowiki>1|</nowiki>
|2
|2
|0 (perfect)
|0 (perfect)
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|ssLssLssL
|ssLssLssL
|<nowiki>3L 6s 0|</nowiki>
|<nowiki>3L 6s 0|</nowiki>
|<nowiki>0|2</nowiki>
|<nowiki>0|</nowiki>
|1
|1
|0 (perfect)
|0 (perfect)
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=== Complements of intervals ===
=== Complements of intervals ===
The ''octave complement'' (or ''moscomplement'', or ''complement'') of a mos interval follows the same logic as the [[octave complement]] in regular music theory: in general, for a mos with n pitches, a k-mosstep in its large form has a complement of an (n-k)-mosstep in its small form, and the two intervals are complements of one another. If a mos interval is altered by raising it by some number of chromas, its complement will be lowered by the same number of chromas.
The ''octave complement'' (or ''equave complement'' for mosses that don't have an octave equivalence interval, or simply ''complement'') of a mos interval follows the same logic as the [[octave complement]] in regular music theory: in general, for a mos with n pitches, a k-mosstep in its large form has a complement of an (n-k)-mosstep in its small form, and the two intervals are complements of one another. Alternatively, if a specific mos interval is thought of as a quantity of large and small steps, then its complement is the number of steps needed to produce the mos pattern of xL ys itself. Additionally, if a mos interval is also altered by raising it by some number of chromas, its complement will be lowered by the same number of chromas, and vice-versa.
 
Alternatively, if a specific mos interval is thought of as a quantity of large and small steps, then its complement is the number of steps needed to produce the mos pattern of xL ys itself.
{| class="wikitable"
{| class="wikitable"
|+Moscomplements of 3L 4s
|+Interval complements of 3L 4s
! colspan="2" |Interval
! colspan="2" |Interval
! colspan="2" |Complement
! colspan="2" |Complement
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!Size
!Size
|-
|-
|Perfect 0-mosstep (mosunison)
|Perfect 0-mosstep (unison)
|'''0'''
|'''0'''
|Perfect 7-mosstep (mosoctave)
|Perfect 7-mosstep (octave)
|'''3L+4s'''
|'''3L+4s'''
|-
|-
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|'''s'''
|'''s'''
|-
|-
|Perfect 7-mosstep (mosoctave)
|Perfect 7-mosstep (octave)
|'''3L+4s'''
|'''3L+4s'''
|Perfect 0-mosstep (mosunison)
|Perfect 0-mosstep (unison)
|'''0'''
|'''0'''
|}
|}


== Other sandboxed rewrites ==
== Sandboxed rewrite: Mos pattern names ==


=== Reasoning for names ===
=== Reasoning for names ===
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|-
|-
| rowspan="15" |1:1 to 1:0
| rowspan="15" |1:1 to 1:0
| rowspan="7" |1:1 to 2:1 (pansoft or soft)
| rowspan="7" |1:1 to 2:1 ''(general soft range)''
| rowspan="3" |1:1 to 3:2 (amphisoft)
| rowspan="3" |1:1 to 3:2
|1:1 to 4:3 (ultrasoft)
|1:1 to 4:3 (ultrasoft)
|
|
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|Also called quintessential
|Also called quintessential
|-
|-
| rowspan="7" |2:1 to 1:0 (panhard or hard)
| rowspan="7" |2:1 to 1:0 ''(general hard range)''
| rowspan="3" |2:1 to 3:1 (hypohard)
| rowspan="3" |2:1 to 3:1 (hypohard)
|2:1 to 5:2 (minihard)
|2:1 to 5:2 (minihard)
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|Also called monohard
|Also called monohard
|-
|-
| rowspan="3" |3:1 to 1:0 (amphihard)
| rowspan="3" |3:1 to 1:0
|3:1 to 4:1 (parahard)
|3:1 to 4:1 (parahard)
|
|
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|Trivial/pathological
|Trivial/pathological
|}
|}
New names for the ranges excluded by hyposoft and hypohard are included: amphisoft and amphihard, named such as they surround the region that hyposoft and hypohard span. The broadest ranges for soft and hard step ratios are called pansoft and panhard, or simply soft and hard.


=== Extended spectrum ===
=== Extended spectrum ===
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|-
|-
| rowspan="21" |1:1 to 1:0
| rowspan="21" |1:1 to 1:0
| rowspan="9" |1:1 to 2:1 (soft)
| rowspan="9" |1:1 to 2:1 ''(general soft range)''
| rowspan="5" |1:1 to 3:2 (amphisoft)
| rowspan="5" |1:1 to 3:2
| rowspan="3" |1:1 to 4:3 (ultrasoft)
| rowspan="3" |1:1 to 4:3 (ultrasoft)
| colspan="2" |1:1 to 6:5 (pseudoequalized)
| colspan="2" |1:1 to 6:5 (pseudoequalized)
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|'''2:1 (basic)'''
|'''2:1 (basic)'''
|-
|-
| rowspan="11" |2:1 to 1:0 (hard)
| rowspan="11" |2:1 to 1:0 ''(general hard range)''
| rowspan="3" |2:1 to 3:1 (hypohard)
| rowspan="3" |2:1 to 3:1 (hypohard)
|2:1 to 5:2 (minihard)
|2:1 to 5:2 (minihard)
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|'''3:1 (hard)'''
|'''3:1 (hard)'''
|-
|-
| rowspan="7" |3:1 to 1:0 (amphihard)
| rowspan="7" |3:1 to 1:0
|3:1 to 4:1 (parahard)
|3:1 to 4:1 (parahard)
| colspan="2" |3:1 to 4:1 (parahard)
| colspan="2" |3:1 to 4:1 (parahard)
Line 959: Line 961:


== Proposal: Naming mosses with more than 10 steps (work-in-progress) ==
== Proposal: Naming mosses with more than 10 steps (work-in-progress) ==
This is a system for describing scales beyond the set of named TAMNAMS scales. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems, with the main difference here being how mosses can be named any number of generations away from a named mos.
See: [[User:Ganaram inukshuk/TAMNAMS Extension]]
== Changes to mos names ==
 
===Which mosses are worth naming?===
Updates to TAMNAMS around 2022 have imposed a maximum step count of 10. I'm arguing there should be a minimum note count 6 for the following reasons:


To name mosses that have more than 10 notes, rather than giving mosses unique names, names are based on how they're related to another (named) mos. The following names are used for specific generations - namely child, grandchild, and great-grandchild mosses:
*Mosses with step counts less than 6 have generator ranges so broad that they encompass multiple temperaments and can be expanded to multiple mosses.
* A child mos is a ''chromatic (mos name)'', or generally, ''chromatic mos''. For single-period mosses, this can be written as ''(mos-prefix)chromatic''.
*Mosses 1L 1s, 1L 2s, and 2L 1s have extremely broad generator ranges that it may be difficult to generalize anything about them, let alone compose with them.
* A grandchild mos is an ''enharmonic (mos name)'', or generally, ''enharmonic mos''. For single-period mosses, this can be written as ''(mos-prefix)enharmonic''.
*The parents of most of the mosses with note counts 6-10 are mosses with 4-5 notes, so to denote these mosses, it may be better to think of these parents as subsets of those larger mosses instead. When people compose with 2L 3s, for example, they don't invent entirely new notation for that; instead, they use notation for 5L 2s and skip two of the notes.
* A great-grandchild mos is a ''subchromatic (mos name)'', or generally, ''subchromatic mos''. (Tentative name; open to better suggestions.) For single-period mosses, this can be written as ''(mos-prefix)subchromatic''.
**1L 3s, parent of 1L 5s and 5L 1s
Any mos more than 3 generations away from a named mos is broadly referred to as a ''(mos name) descendant'', ''(mos-prefix)descendant'' (for single-period mosses), or broadly, ''mos descendant''. These terms can also be used collectively for multiple mos descendants or to broadly describe any one mos descendant. Optionally, the number of generations can be specified, producing ''nth (mos name) descendant'', using the algorithm below:
**3L 1s, parent of 3L 4s and 4L 3s
# Let z and w be the number of large and small steps of the parent mos to be found. Assign to z and w the values x and y respectively. Let n = 0, where n is the number of generations away from zL ws.
**1L 5s, parent of 1L 6s and 6L 1s
# Let m1 be equal to max(z, w) and m2 be equal to min(z, w).
** 2L 3s, parent of 2L 5s and 5L 2s
# Assign to z the value m2 and w the value m1-m2. Increment n by 1.
**3L 2s, parent of 3L 5s and 5L 3s
# If the sum of z and w is no more than 10, then the parent mos is zL ws and is n generations from the mos descendant xL ys. If not, repeat the process starting at step 2.
**4L 1s, parent of 4L 5s and 5L 4s
*The names for these small mosses differ from the other mos names in that they're meant to be equave-agnostic. It's not that these names would go away; rather, they'd be going somewhere else. (Where is not known at the moment.)
**The mos module doesn't even include these names, apart from monowood and biwood.


As diatonic (5L 2s) doesn't have a prefix, the terms ''chromatic'', ''enharmonic'', and ''subchromatic'' by themselves (and with no other context suggesting a non-diatonic mos) refer to 1st, 2nd, and 3rd diatonic descendants. For consistency, mos descendant names apply to mosses whose child scales exceed 10 notes. Since all mosses ultimately descend from some nL ns mos, every possible descendant up to 5 periods will be related to a named mos.
===Proposed style guide===
{| class="wikitable center-all"
The following is a proposed guide for naming mosses, based on patterns gleamed from existing mosses. There are also exceptions to these rules.
|+Mosses whose children have more than 10 notes (1st and 2nd descendants only)
|-
! colspan="2" |6-note mosses
! colspan="2" |Chromatic mosses
! colspan="2" |Enharmonic mosses
|-
!Pattern!!Name
!Patterns
!Names
!Patterns
!Names
|-
|[[1L 5s]]
|antimachinoid
|1L 6s, 6L 1s
|n/a
|1A 7B, 6A 7B
|n/a
|-
|[[2L 4s]]
|malic
|2L 6s, 6L 2s
|n/a
|2A 8B, 6A 2B
|n/a
|-
|[[3L 3s]]
|triwood
|3L 6s, 6L 3s
|n/a
|3A 9B, 6A 9B
|n/a
|-
|[[4L 2s]]
|citric
|4L 6s, 6L 4s
|n/a
|4A 10B, 6A 10B
|n/a
|-
|[[5L 1s]]||machinoid
|5L 6s, 6L 5s
|mechchromatic
|5A 11B, 6A 11B
|mechenharmonic
|-
! colspan="2" |7-note mosses
! colspan="2" |Chromatic mosses
! colspan="2" |Enharmonic mosses
|-
!Pattern!!Name
!Patterns
!Names
!Patterns
!Names
|-
|[[1L 6s]]
|onyx
|1L 7s, 7L 1s
|n/a
|1A 8B, 8A 1B
|n/a
|-
|[[2L 5s]]
|antidiatonic
|2L 7s, 7L 2s
|n/a
|2A 9B, 9A 2B
|n/a
|-
|[[3L 4s]]
|mosh
|3L 7s, 7L 3s
|n/a
|3A 10B, 10A 3B
|n/a
|-
|[[4L 3s]]|| smitonic
|4L 7s, 7L 4s
|smichromatic
|4A 11B, 7A 11B
|smienharmonic
|-
|[[5L 2s]]||diatonic
|5L 7s, 7L 5s
|chromatic
|5A 12B, 7A 12B
|enharmonic
|-
|[[6L 1s]]||arch(a)eotonic
|6L 7s, 7L 6s
|archeochromatic
|6A 13B, 7A 13B
|archeoenharmonic
|-
! colspan="2" |8-note mosses
! colspan="2" |Chromatic mosses
! colspan="2" |Enharmonic mosses
|-
!Pattern!!Name
!Patterns
!Names
!Patterns
!Names
|-
|[[1L 7s]]
|antipine
|1L 8s, 8L 1s
|n/a
|1A 9B, 8A 9B
|n/a
|-
|[[2L 6s]]
|subaric
|2L 8s, 8L 2s
|n/a
|2A 10B, 8A 10B
|n/a
|-
|[[3L 5s]]||checkertonic
|3L 8s, 8L 3s
|checkchromatic
|3A 11B, 8A 11B
|checkenharmonic
|-
|[[4L 4s]]||tetrawood; diminished
|4L 8s, 8L 4s
|chromatic tetrawood
|4A 12B, 8A 12B
|enharmonic tetrawood
|-
|[[5L 3s]]||oneirotonic
|5L 8s, 8L 5s
|oneirochromatic
|5A 13B, 8A 13B
|oneiroenharmonic
|-
|[[6L 2s]]||ekic
|6L 8s, 8L 6s
|chromatic ekic
|6A 14B, 8A 14B
|enharmonic ekic
|-
|[[7L 1s]]||pine
|7L 8s, 8L 7s
|pinechromatic
|7A 15B, 8A 15B
|pinenharmonic
|-
! colspan="2" |9-note mosses
! colspan="2" |Chromatic mosses
! colspan="2" |Enharmonic mosses
|-
!Pattern!! Name
!Patterns
!Names
!Patterns
!Names
|-
|1L 8s
|antisubneutralic
|1L 9s, 9L 1s
|n/a
|1A 10B, 9A 10B
|n/a
|-
|2L 7s
|balzano
|2L 9s, 9L 2s
|balchromatic
|2A 11B, 9A 11B
|balenharmonic
|-
|[[3L 6s]]||tcherepnin
|3L 9s, 9L 3s
|chromatic tcherepnin
|3A 12B, 9A 12B
|enharmonic tcherepnin
|-
|[[4L 5s]]||gramitonic
|4L 9s, 9L 4s
|gramchromatic
|4A 13B, 9A 13B
|gramenharmonic
|-
|[[5L 4s]]|| semiquartal
|5L 9s, 9L 5s
|chtonchromatic
|5A 14B, 9A 14B
|chtonenharmonic
|-
|[[6L 3s]]|| hyrulic
|6L 9s, 9L 6s
|chromatic hyrulic
|6A 15B, 9A 15B
|enharmonic hyrulic
|-
|[[7L 2s]]||superdiatonic
|7L 9s, 9L 7s
|armchromatic
|7A 16B, 9A 16B
|armenharmonic
|-
|[[8L 1s]]||subneutralic
|8L 9s, 9L 8s
|bluchromatic
|8A 17B, 9A 17B
|bluenharmonic
|-
! colspan="2" |10-note mosses
! colspan="2" |Chromatic mosses
! colspan="2" |Enharmonic mosses
|-
!Pattern!!Name
!Patterns
!Names
!Patterns
!Names
|-
|[[1L 9s]]||antisinatonic
|1L 10s, 10L 1s
|asinachromatic
|1A 11B, 10A 11B
|asinenharmonic
|-
|[[2L 8s]]||jaric
|2L 10s, 10L 2s
|chromatic jaric
|2A 12B, 10A 12B
|enharmonic jaric
|-
|[[3L 7s]]|| sephiroid
|3L 10s, 10L 3s
|sephchromatic
|3A 13B, 10A 13B
|sephenharmonic
|-
|[[4L 6s]]||lime
|4L 10s, 10L 4s
|chromatic lime
|4A 14B, 10A 14B
|enharmonic lime
|-
|[[5L 5s]]||pentawood
|5L 10s, 10L 5s
|chromatic pentawood
|5A 15B, 10A 15B
|enharmonic pentawood
|-
|[[6L 4s]]||lemon
|6L 10s, 10L 6s
|chromatic lemon
|6A 16B, 10A 16B
|enharmonic lemon
|-
|[[7L 3s]]||dicoid, zaltertic
|7L 10s, 10L 7s
|dicochromatic, zalchromatic
|7A 17B, 10A 17B
|dicoenharmonic, zalenharmonic
|-
|[[8L 2s]]||taric
|8L 10s, 10L 8s
|chromatic taric
|8A 18B, 10A 18B
|enharmonic taric
|-
|[[9L 1s]]||sinatonic
|9L 10s, 10L 9s
|sinachromatic
|9A 19B, 10A 19B
|sinenharmonic
|}
=== Names for mos descendants by step ratio ===
The designations of chromatic, enharmonic, and subchromatic refer to one of 2, 4, and 8 possible mosses respectively. To describe a specific mos descendant, the name of a step ratio range can be prefixed to the terms ''chromatic'', ''enharmonic'', and ''subchromatic'' (or ''(mos-prefix)chromatic'', ''(mos-prefix)enharmonic'', and ''(mos-prefix)subchromatic''). Specifying the step ratio is optional, and the names for step ratios can be abbreviated into a one or two-letter prefix. (Frostburn's abbreviations can be used here, too.) These prefixes are used for specific descendants, with the notable exception of ''soft'' and ''hard'', which may be used for subchromatic mosses to produce terminology that is more precise than just ''subchromatic'' but not as specific as their step ratio ranges. These prefixes must include a hyphen.
{| class="wikitable"
|+Descendant mosses sorted by generation and step ratio
! colspan="2" |Parent mos
! colspan="4" |Chromatic mosses
! colspan="4" |Enharmonic mosses
! colspan="6" |Subchromatic mosses
|-
! rowspan="2" |Steps
! rowspan="2" |L:s range
! rowspan="2" |Steps
! rowspan="2" |Prefix
! rowspan="2" |Abbrev.
! rowspan="2" |L:s range
! rowspan="2" |Steps
! rowspan="2" |Prefix
! rowspan="2" |Abbrev.
! rowspan="2" |L:s range
! rowspan="2" |Steps
! colspan="2" |Broad prefixes
! colspan="2" |Specific prefixes
! rowspan="2" |L:s range
|-
!Prefix
!Abbrev.
!Prefix
!Abbrev.
|-
| rowspan="8" |xL ys
| rowspan="8" |1:1 to 1:0
| rowspan="4" |(x+y)L xs
| rowspan="4" |soft-
| rowspan="4" |s-
| rowspan="4" |1:1 to 2:1
| rowspan="2" |(x+y)L (2x+y)s
| rowspan="2" |soft-
| rowspan="2" |s-
| rowspan="2" |1:1 to 3:2
|(x+y)L (3x+2y)s
| rowspan="4" |soft-
| rowspan="4" |s-
|ultrasoft-
|us-
|1:1 to 4:3
|-
|(3x+2y)L (x+y)s
|parasoft-
|ps-
|4:3 to 3:2
|-
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |hyposoft-
| rowspan="2" |os-
| rowspan="2" |3:2 to 2:1
|(3x+2y)L (2x+y)s
|quasisoft-
|qs-
|3:2 to 5:3
|-
|(2x+y)L (3x+2y)s
|minisoft-
|ms-
|5:3 to 2:1
|-
| rowspan="4" |xL (x+y)s
| rowspan="4" |hard-
| rowspan="4" |h-
| rowspan="4" |2:1 to 1:0
| rowspan="2" |(2x+y)L xs
| rowspan="2" |hypohard-
| rowspan="2" |oh-
| rowspan="2" |2:1 to 3:1
|(2x+y)L (3x+y)s
| rowspan="4" |hard-
| rowspan="4" |h-
|minihard-
|mh-
|2:1 to 5:2
|-
|(3x+y)L (2x+y)s
|quasihard-
|qh-
|5:2 to 3:1
|-
| rowspan="2" |xL (2x+y)s
| rowspan="2" |hard-
| rowspan="2" |h-
| rowspan="2" |3:1 to 1:0
|(3x+y)L xs
|parahard-
|ph-
|3:1 to 4:1
|-
|xL (3x+y)s
|ultrahard-
|uh-
|4:1 to 1:0
|}
=== Names for mos descendants with more than 5 periods ===
To name mos descendants with more than 5 periods, the names for wood mosses are extended to hexawood, heptawood (or septawood), octawood, nonawood (or enneawood), and decawood. Beyond that, the naming scheme becomes 11-wood, 12-wood, and so on, and mosses are referred to ''(number)-wood descendants'', or specifically, ''chromatic (number)-wood'', ''enharmonic (number)-wood'', and ''subchromatic (number)-wood.''
{| class="wikitable"
|+Names for wood scales up to 10 periods
!Mos
!Name
!Prefix
!Abbrev.
|-
|6L 6s
|hexawood
|hexwud-
|hw
|-
|7L 7s
|septawood or heptawood
|sepwud- or hepwud-
|sw or hw
|-
|8L 8s
|octawood
|octwud-
|ow
|-
|9L 9s
|nonawood or enneawood
|nonawud- or ennwud-
|nw or enw
|-
|10L 10s
|decawood
|dekwud-
|dkw
|}
=== Reasoning for names ===
The names for chromatic scales are based on former names for the child mosses of diatonic (5L 2s) - p-chromatic for 5L 7s and m-chromatic for 7L 5s - and was generalized to ''chromatic mos''. The term enharmonic is already in use to describe the grandchild mosses of diatonic, and so was generalized to ''enharmonic mos''. The term subchromatic is a term coined by Mike Battaglia to describe a scale that is more chromatic than either chromatic or enharmonic, and is generalized to ''subchromatic mos''.


The format of adding a mos's prefix to the terms descendant, chromatic, enharmonic, and subchromatic is best applied to single-period mosses. With mosses that directly descend from nL ns mosses especially, this is to keep names from becoming too cumbersome.
#Names for single-period mosses with 5 or fewer notes are the most general names, not limited to an equivalence interval of an octave, and end with -ic or -al. These should be the only mosses that contain the anti- prefix, shortened to an-.
##Monowood is an exception in that it does not end with -ic or -al.
# Names for single-period mosses not of the form 1L ns end with -tonic, suggesting that these are octave-specific and reference a specific interval, or a notable pre-TAMNAMS or other temperament-agnostic name.
##Temperament-based names may be justified if it applies to a mos with a sufficiently narrow generator range, or if no other naming options are available. Such names should end with -oid.
##Mosh, semiquartal, balzano, and pine are exceptions to this rule.
#Single-period mosses of the form 1L ns with 6 or more notes are named after minerals and gemstones.
## This requires renaming existing mosses, namely antimachinoid, antipine, antisubneutralic, and antisinatonic.
# Multi-period mos names should bear the -ic suffix.
##All of the wood mosses are exceptions to this rule, as are lemon, lime, and tcherepnin.
# With the exception of mosses named under rule 1, mosses should avoid having additional prefixes if possible, such as anti-, sub-, or super-, and mosses should avoid sharing the same word stem unless the mosses in question are related in some way.
##Sets of mosses that share a relationship with one another include the following: subaric, jaric, and taric; monowood, biwood, triwood, tetrawood, pentawood; antidiatonic and diatonic (in that they're sister mosses)


Various people have suggested the use of p- and m- as prefixes to refer to specific chromatic mosses, as well as the use of f- and s- for enharmonic mosses. Generalizing the pattern to 3rd mos descendants reveals an issue where the letters started to diverge from one another, notably where m- is no longer next to p- and f- and s- are no longer along the extremes. Rather than to use these letters and to maintain temperament agnosticism, prefixes based on step ratios are used instead.
===Changes to existing names===
{| class="wikitable"
This section describes changes to existing [[TAMNAMS]] names that I would make, given the proposal described in the previous section and the following reasons:
|+Temperament-based mosdescendant prefixes
! rowspan="2" |Diatonic scale
! colspan="3" |Chromatic mosses
! colspan="3" |Enharmonic mosses
! colspan="3" |Subchromatic mosses
|-
!Steps
!Notable temperament
!Prefix
!Steps
!Notable temperament
!Prefix
!Steps
!Notable temperament
!Prefix
|-
| rowspan="8" |[[5L 2s]]
| rowspan="4" |[[7L 5s]]
| rowspan="4" |meantone
| rowspan="4" |m-
| rowspan="2" |[[7L 12s]]
| rowspan="2" |flattone
| rowspan="2" |f-
|[[7L 19s]]
|tridecimal
|t-
|-
|[[19L 7s]]
|flattone
|f-
|-
| rowspan="2" |[[12L 7s]]
| rowspan="2" |meantone
| rowspan="2" |m-
|[[19L 12s]]
|meanpop
|m-
|-
|[[12L 19s]]
|huygens
|h-
|-
| rowspan="4" |[[5L 7s]]
| rowspan="4" |pythagorean
| rowspan="4" |p-
| rowspan="2" |[[12L 5s]]
| rowspan="2" |pythagorean
| rowspan="2" |p-
|[[12L 17s]]
|pythagorean
|p-
|-
|[[17L 12s]]
|gentle
|g-
|-
| rowspan="2" |[[5L 12s]]
| rowspan="2" |superpyth
| rowspan="2" |s-
|[[17L 5s]]
|superpyth
|s-
|-
|[[5L 17s]]
|ultrapyth
|u-
|}
The temperament-based prefixes may be used specifically for diatonic descendants as alternatives to the prefixes based on step ratios, effectively bringing back the names of p-chromatic and m-chromatic.
== Suggested changes for mos pattern names (work-in-progress) ==
This section describes changes to existing [[TAMNAMS]] names that I would make. Reasons:


* Some names are still based on a temperament (mainly the -oid names), so those are either replaced with a new name or at least altered so the references are more indirect.
*Some names are still based on a temperament (mainly the -oid names), so those are either replaced with a new name or at least altered so the references are more indirect.
* There were Discord users with whom I shared a similar sentiment regarding the names of certain scales, mainly the mosses with the anti- prefix and the scales antidiatonic and superdiatonic.
*There were Discord users with whom I shared a similar sentiment regarding the names of certain scales, mainly the mosses with the anti- prefix and the scales antidiatonic and superdiatonic.
* Some names are too long (in my opinion).
*Some names are too long (in my opinion).


The choice of names are not perfect and some may have issues. Some name suggestions went through different versions. This section is meant to start a discussion on alternate names should a need come up for it.
The choice of names are not perfect and some may have issues. Some name suggestions went through different versions. This section is meant to start a discussion on alternate names should a need come up for it. Some of these suggestions may be outdated as TAMNAMS names change, rendering such suggestions unnecessary; notes regarding such changes are in '''bold'''.
{| class="wikitable"
{| class="wikitable"
|+
|+
Table of proposed name changes
Table of proposed name changes
! colspan="10" |Changes to names to reduce or remove references to temperaments
! colspan="9" |Proposals for octave-specific mosses currently referred to by equave-agnostic names
|-
|-
! rowspan="2" |Mos
! rowspan="2" |Mos
! colspan="3" |Current name
! colspan="3" |Current name
! colspan="3" |Suggested name(s)
! colspan="3" |Suggested name(s)
! rowspan="2" |Old suggestions
! rowspan="2" |Reasoning
! rowspan="2" |Reasoning
! rowspan="2" |Possible issues
! rowspan="2" |Possible issues and other notes
|-
|-
!Name
!Name
Line 1,481: Line 1,020:
!Abbrev.
!Abbrev.
|-
|-
|5L 1s
|1L 3s
|machinoid
|antetric
|mech-
|
|mech
|
|mechatonic
|
|unchagned
|
|unchagned
|
| rowspan="6" |The names in this category are not replacements, but octave-specific proposals.
Names for these mosses are based on the base terms "pentoid" and "tetroid" and have appropriate prefixes added. Specifically:
 
* For diapentoid, the prefix dia- is chosen, as it refers to both diatonic and, indirectly, antidiatonic.
* For mechpentoid, the prefix mech- is chosen for the same reason as dia-.
* For smotetroid, the prefix smo- is chosen as it combines the prefixes of mosh- and smi-.
| rowspan="6" |
|-
|3L 1s
|tetric
|
|
|smotetroid
|
|
|-
|1L 4s
|pedal
|
|
|mechpentoid
|
|
|-
|4L 1s
|manual
|
|
|
|
|
|
|A more indirect reference to [[machine]] temperament.
|Still references machine temperament. May also reference [[Subgroup temperaments|mechanism]] temperament.
|-
|-
|3L 7s
|2L 3s
|sephiroid
|pentic
|seph-
|
|seph
|
|sephirotonic or sephiratonic
|diapentoid
|unchagned
|
|unchagned
|
|septonic
|Rather than alluding to [[sephiroth]] temperament, the name should allude to Peter Kosmorsky's ''[https://ia800703.us.archive.org/12/items/TractatumDeModiSephiratorum/ModiSephiratorum.pdf Tractatum de Modi Sephiratorum]'' (A Treatise on the Modes of the Sephirates), whose name ultimately comes from the [[wikipedia:Sefirot|sefirot]]. The document describes several edos that are said to contain the "modi sephiratorum" (sephirate modes). Therefore, instead of the name "sephiroid", suggesting that the mos pattern resembles the modi sephiratorum, the mos pattern ''is'' the modi sephiratorum, hence the mosname "sephirotonic".
|May still reference sephiroth temperament. For a more indirect reference, an alternate transliteration of סְפִירוֹת (sefirot) may be used instead.
New name is longer than the old name.
|-
|-
|7L 3s
|3L 2s
|dicoid and zaltertic
|anpentic
|dico- and zal-
|
|dico and zal
|
|zaltertic
|
|zal-
|
|zal
|
|
|As of writing, there are two names. I would favor zaltertic over dicoid in that it removes a name that suggests a temperament.
|Central zalzalian thirds (another name for neutral thirds) are not the scale's bright generator, but are produced by the scale.
|-
|-
! colspan="10" |Changes to names that bear the anti- prefix
! colspan="9" |Changes to names that bear a prefix (anti-, sub-, etc) (most justifiable changes)
|-
|-
! rowspan="2" |Mos
! rowspan="2" |Mos
! colspan="3" |Current name
! colspan="3" |Current name
! colspan="3" |Suggested name(s)
! colspan="3" |Suggested name(s)
! rowspan="2" |Old suggestions
! rowspan="2" |Reasoning
! rowspan="2" |Reasoning
! rowspan="2" |Possible issues
! rowspan="2" |Possible issues and other notes
|-
|-
!Name
!Name
Line 1,528: Line 1,087:
!Abbrev.
!Abbrev.
!Name
!Name
!Prefix
! Prefix
!Abbrev.
!Abbrev.
|-
|-
Line 1,534: Line 1,093:
|antimachinoid
|antimachinoid
|amech-
|amech-
|amech
| amech
|selenite
|selenite or moonstone
|sel-
|sel- or moon-
|sel
| sel or moon
|selenic
| rowspan="4" |Shorter names. These names follow in the same spirit as "onyx" for 1L 6s in the following ways:
|Shorter name. An indirect reference to [[luna]] temperament; "selene" is Greek for "moon". The name "selenite" follows the same pattern of 1L 6s being named after a type of gemstone.
 
|Pun.
*"Selenite" is a mineral and is Greek for "moon", indirectly referencing [[luna]] temperament, as does "moonstone".
*"Spinel" contains the word "pine", referencing its sister mos of "pine".
* Depending on pronunciation, the word "agate" may rhyme with "eight".
*Depending on pronunciation, the word "olivine" may rhyme with "nine".
| rowspan="4" |Puns; dependent on pronunciation, which may vary.
A compromise is to recognize both the current and proposed names:
 
*1L 5s: antimachinoid, selenite
* 1L 6s: antiarcheotonic (new name), onyx
* 1L 7s: antipine, spinel
*1L 8s: antisubneutralic, agate
*1L 9s: antisinatonic, olivine
|-
|-
|1L 7s
|1L 7s
|antipine
|antipine
|apine-
|apine-
|apine
| apine
|spinel
|spinel
|spin-
|spin-
|spin
|spin
|alpine, stelanic
| rowspan="3" |Shorter names. These names follow in the same spirit as "onyx" for 1L 6s in the following ways:
* "Spinel" contains the word "pine", referencing its sister mos of "pine".
* Depending on pronunciation, the word "agate" may rhyme with "eight".
* Depending on pronunciation, the word "olivine" may rhyme with "nine".
| rowspan="3" |Pun. The names suggested don't typically rhyme with the words they're trying to rhyme with or reference, ruining the joke.
|-
|-
|1L 8s
|1L 8s
Line 1,562: Line 1,125:
|ablu
|ablu
|agate
|agate
|aga- or agat-
| aga- or agat-
|aga
|aga
|mineric
|-
|-
|1L 9s
| 1L 9s
|antisinatonic
|antisinatonic
|asina-
|asina-
|asi
|asi
|olivine
|olivine
|oliv-
|oli
|oliv
|oli
|parivalic, alentic
|-
|-
! colspan="10" |Changes to names that bear other prefixes
| rowspan="2" | 2L 5s
| rowspan="2" |antidiatonic
| rowspan="2" |pel-
| rowspan="2" |pel
|pelotonic
|unchagned
| unchagned
|Option 1: make 2L 5s more distinct from 5L 2s. This mirrors a few Discord users' sentiments regarding this scale in that it should not be treated as an "inversion" of 5L 2s but should be treated as something unique.
|Connections to 5L 2s may be beneficial to musicians, and this connection already exists for mavila.
Hairtonic.
|-
|adiatonic
|adia-
| adia.
|Option 2: leave it as-is but change the prefix to adia-.
|May be too minor of a change.
|-
|8L 1s
|subneutralic
|blu-
|blu
|azurtonic
| azu- or unchanged
|azu or unchanged
|An indirect reference to [[bleu]] temperament; azure is a specific shade of blue. Simplified name. Also, the sub- prefix may falsely suggest another scale called "(prefix)neutralic", similar to how sub'''aric''' (2L 6s) is the parent to both j'''aric''' (2L 8s) and t'''aric''' (8L 2s).
| New name is referencing a temperament, albeit indirectly. The sub- prefix reasoning may be a stretch, since subaric, jaric, and taric are the only mosses related this way.
|-
| 3L 2s
|antipentic
|apent-
|apt
|anpentic
| unchanged
|unchanged
| Makes the name more consistent with other an- mosses.
|Too minor of a modification. A possible compromise is to accept it as a spelling variant.
|-
! colspan="9" | Changes to names to reduce or remove references to temperaments (least justifiable changes)
|-
|-
! rowspan="2" |Mos
! rowspan="2" |Mos
! colspan="3" |Current name
! colspan="3" |Current name
! colspan="3" |Suggested name(s)
! colspan="3" |Suggested name(s)
! rowspan="2" |Old suggestions
! rowspan="2" |Reasoning
! rowspan="2" |Reasoning
! rowspan="2" |Possible issues
! rowspan="2" |Possible issues and other notes
|-
|-
!Name
!Name
Line 1,588: Line 1,185:
!Abbrev.
!Abbrev.
!Name
!Name
!Prefix
! Prefix
!Abbrev.
!Abbrev.
|-
|-
|2L 5s
| 5L 1s
|antidiatonic
|machinoid
|pel-
|mech-
|pel
| mech
|pelotonic
|mechatonic
|unchagned
|unchagned
|unchagned
|unchagned
|pelic
|A more indirect reference to [[machine]] temperament.
| rowspan="2" |From "[[pelog]]" and "[[armodue]]". The proposed names are to make both scales more distinct from diatonic. These names must be changed together.
|Still references machine temperament. May also reference [[Subgroup temperaments|mechanism]] temperament. '''May be too minor of a modification.'''
| rowspan="2" |The connection to diatonic may be beneficial to some musicians. Additionally, the mode names commonly used for both mosses are those from diatonic (lydian, ionian, etc) with the anti- and super- prefixes added.
New names reference pelog tuning and armodue theory.
|-
|-
|7L 2s
|3L 7s
|superdiatonic
|sephiroid
|arm-
|seph-
|arm
|seph
|armotonic
| sephirotonic or sephiratonic
|unchagned
|unchagned
|unchagned
| unchagned
|armic
|Rather than alluding to [[sephiroth]] temperament, the name should allude to Peter Kosmorsky's ''[https://ia800703.us.archive.org/12/items/TractatumDeModiSephiratorum/ModiSephiratorum.pdf Tractatum de Modi Sephiratorum]'' (A Treatise on the Modes of the Sephirates), whose name ultimately comes from the [[wikipedia:Sefirot|sefirot]]. The document describes several edos that are said to contain the "modi sephiratorum" (sephirate modes). Therefore, instead of the name "sephiroid", suggesting that the mos pattern resembles the modi sephiratorum, the mos pattern ''is'' the modi sephiratorum, hence the mosname "sephirotonic".
|-
|May still reference sephiroth temperament. For a more indirect reference, an alternate transliteration of סְפִירוֹת (sefirot) may be used instead.
|8L 1s
'''New name is longer than the old name. May also be too minor of a modificaiton.'''
|subneutralic
|blu-
|blu
|azurtonic
|azu- or unchanged
|azu or unchanged
|azuric
|An indirect reference to [[bleu]] temperament; azure is a specific shade of blue. Simplified name. Also, the sub- prefix may falsely suggest another scale called "(prefix)neutralic", similar to how sub'''aric''' (2L 6s) is the parent to both j'''aric''' (2L 8s) and t'''aric''' (8L 2s).
|New name is referencing a temperament, albeit indirectly. The sub- prefix reasoning may be a stretch, since subaric, jaric, and taric are the only mosses related this way.
|-
|-
|2L 6s
|2L 6s
Line 1,630: Line 1,216:
|bara-
|bara-
|bar
|bar
|
|Rhymes perfectly with jaric and taric. May also mean "basic -aric", as this mos with a basic step ratio (L:s=2:1) cannot produce jaric or taric, or rather, produces both but equalized.
|Rhymes perfectly with jaric and taric. May also mean "basic -aric", as this mos with a basic step ratio (L:s=2:1) cannot produce jaric or taric, or rather, produces both but equalized.
|Too minor of a modification. The use of "bar" as an abbreviation may be problematic ("bar" may also mean "measure" in sheet music).
|'''Too minor of a modification.''' The use of "bar" as an abbreviation may be problematic ("bar" may also mean "measure" in sheet music).
|}
|}


=== Aesthetic rules ===
=== Table of all proposed changes ===
These are the rules that attempt to justify the logic behind much of the name suggestions. There are, of course, exceptions to these rules, as some names are arguably too memorable to change.
Changed names are denoted in '''bold'''.
 
{| class="wikitable center-all"
# Names for single-period mosses with 5 or fewer notes are the most general names in the sense that they're not limited to an octave period and end with -ic or -al. These should be the only mosses that contain the anti- prefix, shortened to an-. (Exception: monowood is octave-specific and does not end with -ic or -al.)
|+TAMNAMS mos names
## An extreme alternative to rule 1 is to say that all mosses named under rule 1 should end with -al, but this requires renaming more mosses (antetral, tetral, pental, anpental) for arguably little gain.
! colspan="5" |Mosses with 2-5 notes are skipped entirely.
# Names for single-period mosses not of the form 1L ns end with -tonic, suggesting that these are octave-specific and reference a specific interval, a notable pre-TAMNAMS or other temperament-agnostic name, or indirectly reference a temperament if all other options are exhausted. (Exceptions: mosh, semiquartal, zaltertic, balzano, and pine don't end with -tonic.)
|-
# Names for mosses of the form 1L ns with 6 or more notes are named after gemstones and minerals, following the spirit of 1L 6s being named onyx. These are named differently than those named using the previous rule as these mosses have too broad a tuning range to even suggest a single temperament.
! colspan="5" |6-note mosses
# Names for multi-period mosses end with -ic and always refer to an octave-equivalent scale. (Execptions: lemon, lime, tcherepnin, and all the -wood scales don't end with -ic.)
|-
# With the exception of mosses named under rule 1, no mosses should be named in a way that they contain additional prefixes such as anti-, sub-, or super-. (Exception: semiquartal bears the semi- prefix, but its mosprefix is chton-).
!Pattern!!Name!!Prefix<ref name="prefix">used in interval, degree and mode names, e.g. ''perfect 3-oneirostep, perfect 3-oneirodegree, oneiro-3-up''</ref>!!Abbr.<ref name="abbr">written abbreviations of prefixes, e.g. ''P3oneis, P3oneid, onei-3|4''</ref>!!Etymology
Other name changes:
|-
* Antipentic -> anpentic; follows names of other small mosses where an- is used as a shortened form of anti-.
|[[1L 5s]]||'''selenite; moonstone'''||sel-||sel||indirect reference to luna temperament
 
|-
{| class="wikitable"
|[[2L 4s]]||malic||mal-||mal||apples have two concave ends, lemons have two pointy ends.
|+Table of mosses with all proposed name changes (changed names are shown in bold)
|-
! colspan="18" |Single-period mosses
|[[3L 3s]]||triwood||triwd-||trw||from 3-wood
|-
|[[4L 2s]]||citric||citro-||cit||parent mos of lemon and lime
|-
|[[5L 1s]]||machinoid||mech-||mech||from [[machine]] temperament
|-
! colspan="5" |7-note mosses
|-
!Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!Etymology
|-
|[[1L 6s]]||onyx||on-||on||[[#Onyx (1L 6s)|from a ''lot'' of naming puns]]
|-
|[[2L 5s]]||antidiatonic||pel-||pel||pel- is from pelog
|-
|-
!Mos
|[[3L 4s]]||mosh||mosh-||mosh||Graham Breed's name; from "mohajira-ish"
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
|-
|-
| rowspan="16" |1L 1s
|[[4L 3s]]||smitonic||smi-||smi||from "sharp minor third"
| rowspan="16" |trivial
monowood
| 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" |'''selenite'''
| rowspan="4" |1L 6s
| rowspan="4" |'''onyx'''
| rowspan="3" |1L 7s
| rowspan="3" |'''spinel'''
| rowspan="2" |1L 8s
| rowspan="2" |'''agate'''
|1L 9s
|'''olivine'''
|-
|-
|9L 1s
|[[5L 2s]]||diatonic||dia-||dia||
|sinatonic
|-
|-
|8L 1s
|[[6L 1s]]||arch(a)eotonic||arch-||arch||originally a name for 13edo's 6L 1s
|'''azurtonic'''
| colspan="2" rowspan="14" |
|-
|-
|7L 1s
! colspan="5" |8-note mosses
|pine
| colspan="2" rowspan="13" |
|-
|-
|6L 1s
!Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!Etymology
|arch(a)eotonic
| colspan="2" rowspan="12" |
|-
|-
|5L 1s
|[[1L 7s]]||'''spinel'''||spin-||sp||contains the substring "pine"
|'''mechatonic'''
| colspan="2" rowspan="11" |
|-
|-
| rowspan="2" |4L  1s
|[[2L 6s]]||subaric||subar-||subar||largest subset mos of jaric and taric
| rowspan="2" |manual
|5L 4s
|semiquartal
|-
|-
|4L 5s
|[[3L 5s]]||checkertonic||check-||chk||from the [[Kite Giedraitis's Categorizations of 41edo Scales|Kite guitar checkerboard scale]]
|gramitonic
|-
|-
| rowspan="3" |3L 1s
|[[4L 4s]]||tetrawood; diminished||tetrawd-||ttw||from 4-wood
| rowspan="3" |tetric
|4L 3s
|smitonic
| colspan="2" |
|-
|-
| rowspan="2" |3L 4s
|[[5L 3s]]||oneirotonic||oneiro-||onei||originally a name for 13edo's 5L 3s
| rowspan="2" |mosh
|7L 3s
|'''zaltertic'''
|-
|-
|3L 7s
|[[6L 2s]]||ekic||ek-||ek||from temperaments [[echidna]] and [[hedgehog]]
|'''sephiratonic'''
|-
|-
| rowspan="5" |2L 1s
|[[7L 1s]]||pine||pine-||pine||from [[porcupine]] temperament
| rowspan="5" |trial
| rowspan="2" |3L 2s
| rowspan="2" |'''anpentic'''
|3L 5s
|checkertonic
| colspan="2" rowspan="3" |
|-
|-
|5L 3s
! colspan="5" |9-note mosses
|oneirotonic
|-
|-
| rowspan="3" |2L 3s
!Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!Etymology
| rowspan="3" |pentic
|5L 2s
|diatonic
|-
|-
| rowspan="2" |2L 5s
|[[1L 8s]]||'''agate'''||ag-||ag||rhymes with "eight", depending on one's pronunciation
| rowspan="2" |'''pelotonic'''
|7L 2s
|'''armotonic'''
|-
|-
|2L 7s
|[[2L 7s]]||balzano||bal- /bæl/||bal||from Balzano scale in 20edo which is 2L 7s
|balzano
|-
|-
! colspan="18" |2-period mosses
|[[3L 6s]]||tcherepnin||cher-||ch||common name
|-
|-
!Mos
|[[4L 5s]]||gramitonic||gram-||gram||from "grave minor third"
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
| colspan="10" rowspan="6" |
|-
|-
| rowspan="5" |2L 2s
|[[5L 4s]]||semiquartal||cthon-||cth||from "half fourth" and "chthonic"
| rowspan="5" |biwood
| rowspan="3" |2L 4s
| rowspan="3" |malic
| rowspan="2" |2L 6s
| rowspan="2" |'''baric'''
|2L 8s
|jaric
|-
|-
|8L 2s
|[[6L 3s]]||hyrulic||hyru-||hyru||allusion to [[triforce]] temperament
|taric
|-
|-
|6L 2s
|[[7L 2s]]||superdiatonic; armotonic||arm-||arm||superdiatonic is a common name; arm- and armotonic references [[Armodue]]
|ekic
| colspan="2" rowspan="3" |
|-
|-
| rowspan="2" |4L 2s
|[[8L 1s]]||subneutralic||blu-||blu||derived from the generator being between supraminor and neutral quality. blu- is from [[bleu]] temperament
| rowspan="2" |citric
|6L 4s
|lemon
|-
|-
|4L 6s
! colspan="5" |10-note mosses
|lime
|-
|-
! colspan="18" |3-period mosses
!Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!Etymology
|-
|-
!Mos
|[[1L 9s]]||'''olivine'''||oli-||oli||rhymes with "nine", depending on one's pronunciation
!Name
!Mos
!Name
| colspan="14" rowspan="3" |
|-
|-
| rowspan="2" |3L 3s
|[[2L 8s]]||jaric||jara-||jar||from temperaments [[pajara]], [[injera]] and [[diaschismic]]
| rowspan="2" |triwood
|3L 6s
|tcherepnin
|-
|-
|6L 3s
|[[3L 7s]]||sephiroid||seph-||seph||from [[sephiroth]] temperament
|hyrulic
|-
|-
! colspan="18" |4-period mosses
|[[4L 6s]]||lime||lime-||lime||limes/4L 6s's steps tend to be smaller than lemons/6L 4s's steps
|-
|-
!Mos
|[[5L 5s]]||pentawood||pentawd-||pw||from 5-wood
!Name
| colspan="16" rowspan="2" |
|-
|-
|4L 4s
|[[6L 4s]]||lemon||lem-||lem||from [[lemba]] temperament
|tetrawood
|-
|-
! colspan="18" |5-period mosses
|[[7L 3s]]||dicoid /'daɪˌkɔɪd/||dico-||dico||from exotemperaments [[Dicot family#Dichotic|dichotic]] and [[dicot]] (dicoid)
|-
|-
!Mos
|[[8L 2s]]||taric||tara-||tar||from Hindi ''aṭhārah'' '[[#Taric (8L 2s)|18]]'
!Name
| colspan="16" rowspan="2" |
|-
|-
|5L 5s
|[[9L 1s]]||sinatonic||sina-||si||from [[sinaic]]
|pentawood
|}
|}
<references />
[[Category:TAMNAMS]]