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This is a system for describing and naming mos scales beyond the set of named TAMNAMS mosses. 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.
Main article: TAMNAMS


== Naming mos descendants ==
This page describes TAMNAMS-like names applied to octave-equivalent mosses with more than 10 notes, as well as non-octave mosses (fifth and tritave equivalent).
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.
*A child mos is a ''chromatic mos'' or ''chromatic (mos name).''
*A grandchild mos is an ''enharmonic mos'' or ''enharmonic (mos name)''.
*A great-grandchild mos is a ''subchromatic mos'' or ''subchromatic (mos name)''.
*A mos that is more than 3 generations away is called a ''descendant mos'' or ''(mos name) descendant''.
These phrases may also be shortened by adding the mos's prefix to the terms ''chromatic'', ''enharmonic'', ''subchromatic'', or ''descendant'' respectively, if the named mos has no more than 3 periods. Additionally, the terms ''chromatic'', ''enharmonic'', and ''subchromatic'' may be used generally to refer to an entire generation of mosses (2, 4, or 8 possible mosses respectively) rather than a specific mos. The term ''descendant'' may also be used generally to refer to any mos any number of generations away from a named mos.


Optionally, for the phrase ''mos descendant,'' the number of generations away from a named mos can be specified, producing the terms ''nth mos descendant'', ''nth (mos name) descendant,'' and ''nth (mos-prefix)descendant'', using the algorithm below to find ''n'':
== Disclaimer ==
#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.
The names described in this section may may have limited use. Some of these names may only find usage by a single person or a small group and thus have limited acceptance by the broader xen community. These names may also be subject to change as these names or the scales they refer to gain greater usage by the community, and it may be possible for the same scale to have more than one name.
#Let m1 be equal to max(z, w) and m2 be equal to min(z, w).
 
#Assign to z the value m2 and w the value m1-m2. Increment n by 1.
== Relating a mos and its descendants ==
#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.
Larger mosses can be described by how they related back to a more familiar mos and vice-versa. In general, all mosses with ''n'' periods relate back to a root mos of ''n''L ''n''s. For TAMNAMS-named mosses, any octave-equivalent mos with more than 10 steps and no more than 5 periods is related to some TAMNAMS-named mos.
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 (child), 2nd (grandchild), and 3rd (great-grandchild) diatonic descendants. For consistency, mos descendant names apply to mosses whose child mosses 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.
 
{| class="wikitable center-all"
In either case, any mos can be related to its descendants by treating it as the root of its own scale tree. Particularly in the absence of any names, mosses can be ''described'' as being some descendant of a related ancestor mos ''x''L ''y''s. Such mosses, called ''mos descendants'' – or ''children'', ''grandchildren'', and ''great-grandchildren'', for the first three generations of descendants – contain the following pattern of step counts.
|+Mosses whose children have more than 10 notes (1st and 2nd descendants only)
{| class="wikitable"
! colspan="2" |Parent
! colspan="2" |Child
! colspan="2" |Grandchild
! colspan="2" |Great-grandchild
|-
|-
! colspan="2" |6-note mosses
!Large steps
! colspan="2" |Chromatic mosses
!Small steps
! colspan="2" |Enharmonic mosses
!Large steps
!Small steps
!Large steps
!Small steps
!Large steps
!Small steps
|-
|-
!Pattern!!Name
| rowspan="8" |''x''
!Patterns
| rowspan="8" |''y''
!Names
| rowspan="4" |''x''+''y''
!Patterns
| rowspan="4" |''x''
!Names
| rowspan="2" |''x''+''y''
| rowspan="2" |2''x''+''y''
|''x''+''y''
|3''x''+2''y''
|-
|-
|[[1L 5s]]
|3''x''+2''y''
|antimachinoid
|''x''+''y''
|1L 6s, 6L 1s
|n/a
|1A 7B, 6A 7B
|n/a
|-
|-
|[[2L 4s]]
| rowspan="2" |2''x''+''y''
|malic
| rowspan="2" |''x''+''y''
|2L 6s, 6L 2s
|3''x''+2''y''
|n/a
|2''x''+''y''
|2A 8B, 6A 8B
|n/a
|-
|-
|[[3L 3s]]
|2''x''+''y''
|triwood
|3''x''+2''y''
|3L 6s, 6L 3s
|n/a
|3A 9B, 6A 9B
|n/a
|-
|-
|[[4L 2s]]
| rowspan="4" |''x''
|citric
| rowspan="4" |''x''+''y''
|4L 6s, 6L 4s
| rowspan="2" |2''x''+''y''
|n/a
| rowspan="2" |''x''
|4A 10B, 6A 10B
|2''x''+''y''
|n/a
|3''x''+''y''
|-
|-
|[[5L 1s]]||machinoid
|3''x''+''y''
|5L 6s, 6L 5s
|2''x''+''y''
|mechromatic
|5A 11B, 6A 11B
|mechenharmonic
|-
|-
! colspan="2" |7-note mosses
| rowspan="2" |''x''
! colspan="2" |Chromatic mosses
| rowspan="2" |2''x''+''y''
! colspan="2" |Enharmonic mosses
|3''x''+''y''
|''x''
|-
|-
!Pattern!!Name
|''x''
!Patterns
|3''x''+''y''
!Names
|}
!Patterns
For example, the first three generations of ''diatonic descendants'' can be described as:
!Names
 
* ''Children of 5L 2s'': 7L 5s and 5L 7s
* ''Grandchildren of 5L 2s'': 5L 12s, 12L 5s, 12L 7s, and 7L 12s
* ''Great-grandchildren of 5L 2s'': 5L 17s, 17L 5s, 17L 12s, 12L 17s, 12L 19s, 19L 12s, 12L 7s, and 7L 19s
 
=== Finding the ancestor of a descendant mos ''x''L ''y''s ===
For a mos ''x''L ''y''s, perform the following algorithm to find a familiar ancestor with target note count ''n'' or less:
 
#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 ''m<sub>1</sub>'' be assigned the value of max(''z'', ''w'') and ''m<sub>2</sub>'' the value of min(''z'', ''w'').
#Assign to ''z'' the value ''m<sub>2</sub>'' and ''w'' the value ''m<sub>1</sub>''-''m<sub>2</sub>''.
#If ''z''+''w'' is less than or equal to ''n'', then the ancestor mos is ''z''L ''w''s. If not, repeat the process starting at step 2.
 
=== Finding an ancestor's step ratio that produces a descandant mos ''x''L ''y''s ===
For a mos xL ys, perform the following algorithm to find the step ratio for a descendant mos zL ws with target note count n or less:
 
#Let ''z'' and ''w'' be the number of large and small steps of the parent mos to be found. Let ''U'' and ''V'' be two chunks, vectors containing the amounts of L's and s's from xL ys that make up the ancestor mos's large and small steps.
##Assign to ''z'' and ''w'' the values ''x'' and ''y'' respectively.
##Assign to ''U'' the vector { ''u<sub>L</sub>'', ''u<sub>s</sub>'' } = { 1, 0 } and V to the vector { ''v<sub>L</sub>'', ''v<sub>s</sub>'' } = { 0, 1 }.
#Let ''m<sub>1</sub>'' be assigned the value of max(''z'', ''w'') and ''m<sub>2</sub>'' the value of min(''z'', ''w'').
##If w > z, then add ''V'' to ''U''. Otherwise, assign to a temporary vector ''U<sub>temp</sub>'' the value of ''U'', add ''V'' to ''U'', and assign to ''V'' the value of ''U<sub>temp</sub>''.
#Assign to ''z'' the value ''m<sub>2</sub>'' and ''w'' the value ''m<sub>1</sub>''-''m<sub>2</sub>''.
#If ''z''+''w'' is less than or equal to ''n'', then the ancestor mos is ''z''L ''w''s. The step ratio range for the ''z''L ''w''s is (''u<sub>L</sub>''+ ''u<sub>s</sub>''):(''v<sub>L</sub>''+ ''v<sub>Ls</sub>'') to ''u<sub>L</sub>'':''v<sub>s</sub>''. If ''z''+''w'' is not less than or equal to ''n'', repeat the process starting at step 2.
 
== Names for mosses with more than 10 notes ==
 
=== Names for ''n''L ''n''s mosses with more than 5 periods ===
The following names are based on the -wood names, with appropriate Greek numeral prefixes applied.
{| class="wikitable center-all"
!Pattern
!Suggested name
!Prefix
!Abbrev.
!Reasoning
|-
|-
|[[1L 6s]]
|6L 6s
|onyx
|hexawood
|1L 7s, 7L 1s
|hexwd-
|n/a
|hxw
|1A 8B, 7A 8B
|Greek numeral prefix (hexa-) for six, plus "wood"
|n/a
|-
|-
|[[2L 5s]]
|7L 7s
|antidiatonic
|heptawood
|2L 7s, 7L 2s
|hepwd-
|n/a
|hpw
|2A 9B, 7A 9B
|Greek numeral prefix (hepta-) for seven, plus "wood"
|n/a
|-
|-
|[[3L 4s]]
|8L 8s
|mosh
|octawood
|3L 7s, 7L 3s
|octwd-
|n/a
|ocw
|3A 10B, 7A 10B
|Greek numeral prefix (octo-) for eight, plus "wood"
|n/a
|-
|-
|[[4L 3s]]||smitonic
|9L 9s
|4L 7s, 7L 4s
|enneawood
|smichromatic
|ennwd-
|4A 11B, 7A 11B
|enw
|smienharmonic
|Greek numeral prefix (ennea-) for nine, plus "wood"
|-
|-
|[[5L 2s]]||diatonic
|10L 10s
|5L 7s, 7L 5s
|decawood
|chromatic
|decwd-
|5A 12B, 7A 12B
|dkw
|enharmonic
|Greek numeral prefix (deca-) for ten, plus "wood"
|-
|-
|[[6L 1s]]||arch(a)eotonic
|11L 11s
|6L 7s, 7L 6s
|hendecawood
|archeoromatic
|hedwd-
|6A 13B, 7A 13B
|hdw
|archeoenharmonic
|Greek numeral prefix (hendeca-) for 11, plus "wood"
|-
|-
! colspan="2" |8-note mosses
|12L 12s
! colspan="2" |Chromatic mosses
|dodecawood
! colspan="2" |Enharmonic mosses
|dodwd-
|ddw
|Greek numeral prefix (dodeca-) for 12, plus "wood"
|-
|-
!Pattern!!Name
|13L 13s
!Patterns
|13-wood
!Names
|13wd-
!Patterns
|13w
!Names
|Number 13 prepended to "wood"
|-
|-
|[[1L 7s]]
|14L 14s
|antipine
|14-wood
|1L 8s, 8L 1s
|14wd-
|n/a
|14w
|1A 9B, 8A 9B
|Number 14 prepended to "wood"
|n/a
|-
|-
|[[2L 6s]]
|''k''L ''k''s
|subaric
|''k''-wood
|2L 8s, 8L 2s
|''k''wd
|n/a
|''k''w
|2A 10B, 8A 10B
|General number ''k'' prepended to "wood"
|n/a
|}
=== Names for mosses with 11 or more notes (excluding ''n''L ''n''s mosses) ===
{| class="wikitable center-all"
! colspan="4" |11-note mosses
|-
|-
|[[3L 5s]]||checkertonic
!Pattern
|3L 8s, 8L 3s
!Suggested name(s)
|checkchromatic
!Proposed by
|3A 11B, 8A 11B
!Reasoning
|checkenharmonic
|-
|-
|[[4L 4s]]||tetrawood; diminished
|1L 10s
|4L 8s, 8L 4s
|tanzanite, tenorite
|chromatic tetrawood
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|4A 12B, 8A 12B
|More naming puns ('''ten'''zanite or '''ten'''orite).
|enharmonic tetrawood
|-
|-
|[[5L 3s]]||oneirotonic
|4L 7s
|5L 8s, 8L 5s
|kleistonic
|oneirochromatic
|
|5A 13B, 8A 13B
|Former TAMNAMS name.
|oneiroenharmonic
|-
|-
|[[6L 2s]]||ekic
| rowspan="2" |7L 4s
|6L 8s, 8L 6s
|suprasmitonic
|ekchromatic
|
|6A 14B, 8A 14B
|Former TAMNAMS name.
|ekenharmonic
|-
|-
|[[7L 1s]]||pine
|daemotonic
|7L 8s, 8L 7s
|[[User:Eliora|Eliora]]
|pinechromatic
|Various reasons; see [[7L 4s]].
|7A 15B, 8A 15B
|pinenharmonic
|-
|-
! colspan="2" |9-note mosses
| rowspan="2" |9L 2s
! colspan="2" |Chromatic mosses
|villatonic
! colspan="2" |Enharmonic mosses
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|Indirectly references avila and casablanca temperaments.
|-
|-
!Pattern!!Name
|ultradiatonic, superarmotonic
!Patterns
|[[User:CompactStar|CompactStar]]
!Names
|In reference to diatonic and armotonic.
!Patterns
!Names
|-
|-
|[[1L 8s]]
! colspan="4" |12-note mosses
|antisubneutralic
|1L 9s, 9L 1s
|n/a
|1A 10B, 9A 10B
|n/a
|-
|-
|[[2L 7s]]
!Pattern
|balzano
!Suggested name(s)
|2L 9s, 9L 2s
!Proposed by
|balchromatic
!Reasoning
|2A 11B, 9A 11B
|balenharmonic
|-
|-
|[[3L 6s]]||tcherepnin
|1L 11s
|3L 9s, 9L 3s
|helenite
|cherchromatic
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|3A 12B, 9A 12B
|In reference to the "ele" substring found in the word "eleven".
|cherenharmonic
|-
|-
|[[4L 5s]]||gramitonic
|5L 7s
|4L 9s, 9L 4s
|p-chromatic
|gramchromatic
|
|4A 13B, 9A 13B
|Former TAMNAMS name.
|gramenharmonic
|-
|-
|[[5L 4s]]||semiquartal
|7L 5s
|5L 9s, 9L 5s
|m-chromatic
|chtonchromatic
|
|5A 14B, 9A 14B
|Former TAMNAMS name.
|chtonenharmonic
|-
|-
|[[6L 3s]]||hyrulic
! colspan="4" |13-note mosses
|6L 9s, 9L 6s
|hyruchromatic
|6A 15B, 9A 15B
|hyrenharmonic
|-
|-
|[[7L 2s]]||superdiatonic
!Pattern
|7L 9s, 9L 7s
!Suggested name(s)
|armchromatic
!Proposed by
|7A 16B, 9A 16B
!Reasoning
|armenharmonic
|-
|-
|[[8L 1s]]||subneutralic
|1L 12s
|8L 9s, 9L 8s
|zircon
|bluchromatic
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|8A 17B, 9A 17B
|Zircon is used as a birthstone for December.
|bluenharmonic
|-
|-
! colspan="2" |10-note mosses
|11L 2s
! colspan="2" |Chromatic mosses
|hendecoid
! colspan="2" |Enharmonic mosses
|[[User:Eliora|Eliora]]
|From Greek "eleven"; references how "its generator is so close to 11/8 as to be called nothing but that" and that it has 11 large steps.
|-
|-
!Pattern!!Name
! colspan="4" |14-note mosses
!Patterns
!Names
!Patterns
!Names
|-
|-
|[[1L 9s]]||antisinatonic
!Pattern
|1L 10s, 10L 1s
!Suggested name(s)
|asinachromatic
!Proposed by
|1A 11B, 10A 11B
!Reasoning
|asinenharmonic
|-
|[[2L 8s]]||jaric
|2L 10s, 10L 2s
|jarachromatic
|2A 12B, 10A 12B
|jaraenharmonic
|-
|[[3L 7s]]||sephiroid
|3L 10s, 10L 3s
|sephchromatic
|3A 13B, 10A 13B
|sephenharmonic
|-
|[[4L 6s]]||lime
|4L 10s, 10L 4s
|limechromatic
|4A 14B, 10A 14B
|limenharmonic
|-
|[[5L 5s]]||pentawood
|5L 10s, 10L 5s
|chromatic pentawood
|5A 15B, 10A 15B
|enharmonic pentawood
|-
|-
|[[6L 4s]]||lemon
|13L 1s
|6L 10s, 10L 6s
|trollic
|lemchromatic
|[[User:Godtone|Godtone]]
|6A 16B, 10A 16B
|The name proposed by Godtone refers to 12L 1s, but it refers to 13L 1s as a troll move.
|lemenharmonic
|-
|[[7L 3s]]||dicoid, zaltertic
|7L 10s, 10L 7s
|dicochromatic, zalchromatic
|7A 17B, 10A 17B
|dicoenharmonic, zalenharmonic
|-
|[[8L 2s]]||taric
|8L 10s, 10L 8s
|tarachromatic
|8A 18B, 10A 18B
|tarenharmonic
|-
|[[9L 1s]]||sinatonic
|9L 10s, 10L 9s
|sinachromatic
|9A 19B, 10A 19B
|sinenharmonic
|}
|}
===Naming mos descendants by step ratio===
{| class="wikitable center-all"
The designations of chromatic, enharmonic, and subchromatic by themselves does not 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''. For enharmonic mosses, these describe mosses with a step ratio outside the hyposoft and hypohard range. For subchromatic mosses, these describe mosses within the entire soft and hard ranges, producing terminology more specific than just ''subchromatic'' but not as specific as the specific 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
!Note count
! rowspan="2" |L:s range
!Pattern
! rowspan="2" |Steps
!Suggested name(s)
! rowspan="2" |Prefix
!Proposed by
! rowspan="2" |Abbrev.
!Reasoning
! 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
|17
| rowspan="8" |1:1 to 1:0
|2L 15s
| rowspan="4" |(x+y)L xs
|liesic
| rowspan="4" |soft-
|[[User:Frostburn|Frostburn]]
| rowspan="4" |s-
|Frostburn's naming scheme only goes up to 3 generations, so this name is suggested.
| 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
| rowspan="2" |19
|parasoft-
|3L 16s
|ps-
|magicaltonic
|4:3 to 3:2
|[[User:Xenllium|Xenllium]]
|In reference to magic temperament.
|-
|-
| rowspan="2" |(2x+y)L (x+y)s
|16L 3s
| rowspan="2" |hyposoft-
|muggletonic
| rowspan="2" |os-
|[[User:Xenllium|Xenllium]]
| rowspan="2" |3:2 to 2:1
|In reference to muggle temperament.
|(3x+2y)L (2x+y)s
|quasisoft-
|qs-
|3:2 to 5:3
|-
|-
|(2x+y)L (3x+2y)s
|21
|minisoft-
|10L 11s
|ms-
|miracloid
|5:3 to 2:1
|[[User:Eliora|Eliora]]
|In reference to miracle temperament.
|-
|-
| rowspan="4" |xL (x+y)s
| rowspan="3" |22
| rowspan="4" |hard-
|3L 19s
| rowspan="4" |h-
|zheligowskic
| rowspan="4" |2:1 to 1:0
|[[User:Frostburn|Frostburn]]
| rowspan="2" |(2x+y)L xs
|In reference to Lucjan Żeligowski leading fights against the town of Giedraičiai.
| 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
|19L 3s
|quasihard-
|giedraitic
|qh-
|[[User:Frostburn|Frostburn]]
|5:2 to 3:1
|Named after the basic magic layout of [[Kite Giedraitis]]' [[Kite guitar|guitar]]. Proposed prefix is "kai-".
|-
|-
| rowspan="2" |xL (2x+y)s
|21L 1s
| rowspan="2" |hard-
|escapist
| rowspan="2" |h-
|[[User:Eliora|Eliora]]
| rowspan="2" |3:1 to 1:0
|References escapade temperament, which is supported by both 21edo and 22edo, covering the entire range.
|(3x+y)L xs
|parahard-
|ph-
|3:1 to 4:1
|-
|-
|xL (3x+y)s
|23
|ultrahard-
|22L 1s
|uh-
|quartismoid
|4:1 to 1:0
|[[User:Eliora|Eliora]]
|Five generators of roughly 33/32 quartertone are equal to 7/6 in the harmonic entropy minimum; also, the extreme ranges of 22edo and 23edo both support this mos.
|}
|}
{| class="wikitable"
== Names for non-octave mosses ==
|+Example with balzano (2L 7s)
 
! colspan="2" |Balzano (parent)
=== 3/1-equivalent mosses ===
! colspan="2" |Chromatic balzano
{| class="wikitable center-all"
! colspan="2" |Enharmonic balzano
! colspan="4" |7-note mosses <3/1>
! colspan="3" |Subchromatic balzano
|-
|-
!Steps
!Pattern
!Name
!Suggested name(s)
!Steps
!Proposed by
!Name
!Reasoning
!Steps
!Name
!Steps
!Broad name
!Specific name
|-
|-
| rowspan="8" |2L 7s
|4L 3s
| rowspan="8" |balzano
|electric
| rowspan="4" |9L 2s
|[[User:CompactStar|CompactStar]]
| rowspan="4" |s-balchromatic
|In reference to electra temperament
| rowspan="2" |9L 11s
| rowspan="2" |s-balenharmonic
|9L 20s
| rowspan="4" |s-balsubchromatic
|us-balsubchromatic
|-
|-
|20L 9s
! colspan="4" |9-note mosses <3/1>
|ps-balsubchromatic
|-
|-
| rowspan="2" |11L 9s
!Pattern
| rowspan="2" |os-balenharmonic
!Suggested name(s)
|20L 11s
!Proposed by
|qs-balsubchromatic
!Reasoning
|-
|-
|11L 20s
|4L 5s
|ms-balsubchromatic
|lambdatonic
|n/a
|"Lambda" already refers to 4L 5s
|-
|-
| rowspan="4" |2L 9s
! colspan="4" |11-note mosses <3/1>
| rowspan="4" |h-balchromatic
| rowspan="2" |11L 2s
| rowspan="2" |oh-balenharmonic
|11L 13s
| rowspan="4" |h-balsubchromatic
|mh-balsubchromatic
|-
|-
|13L 11s
!Pattern
|qh-balsubchromatic
!Suggested name(s)
!Proposed by
!Reasoning
|-
|-
| rowspan="2" |2L 11s
|7L 4s
| rowspan="2" |h-balenharmonic
|superelectric
|13L 2s
|[[User:CompactStar|CompactStar]]?
|ph-balsubchromatic
|Expansion of 4L 3s
|-
|-
|2L 13s
|9L 2s
|uh-balsubchromatic
|subarcturus
|?
|?
|}
|}
==Other mos names==
=== 3/2-equivalent mosses ===
This section describes additional names for groups of mosses or for mosses or that have more than 10 notes but are worthy of names.
{| class="wikitable center-all"
 
! colspan="4" |4-note mosses <3/2>
=== 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. (This is not too different from Frostburn's proposal.) Beyond that, the naming scheme becomes 11-wood, 12-wood, and so on, and mosses are referred to ''chromatic (number)-wood'', ''enharmonic (number)-wood'', and ''subchromatic (number)-wood.'' The term ''(number)-wood descendants'' is also used, and to refer to ''nth (number)-wood descendants'', the algorithm is used below to find the number of generations:
#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.
#Let m1 be equal to max(z, w) and m2 be equal to min(z, w).
#Assign to z the value m2 and w the value m1-m2. Increment n by 1.
#If both z and w are equal to 1, then the parent mos is nL ns and is n generations from the mos descendant xL ys. If not, repeat the process starting at step 2.
{| class="wikitable"
|+Names for wood scales up to 10 periods
!Mos
!Name
!Prefix
!Abbrev.
|-
|-
|6L 6s
!Pattern
|hexawood
!Suggested name(s)
|hexwud-
!Proposed by
|hw
!Reasoning
|-
|7L 7s
|septawood or heptawood
|sepwud- or hepwud-
|sw or hw
|-
|8L 8s
|octawood
|octwud-
|ow
|-
|-
|9L 9s
|1L 3s
|nonawood or enneawood
|neptunian
|nonawud- or ennwud-
|[[User:CompactStar|CompactStar]]
|nw or enw
|In reference to "uranian" for 3L 2s<3/2>
|-
|-
|10L 10s
! colspan="4" |5-note mosses <3/2>
|decawood
|dekwud-
|dkw
|-
|-
|11L 11s
!Pattern
|11-wood
!Suggested name(s)
|11-wud-
!Proposed by
|11wd
!Reasoning
|-
|-
|12L 12s
|2L 3s
|12-wood
|saturnian
|12-wud
|[[User:CompactStar|CompactStar]]
|12wd
|In reference to "uranian" for 3L 2s<3/2>
|-
|-
|etc...
|3L 2s
|
|uranian
|
|?
|
|?
|}
|}
===Names for mos linear families===
== Names for equave-agnostic mosses ==
Mosses with the same number of large steps can be described as its own family, specifically a family of related mosses of the form xL (nx + y)s. This family starts with the mos xL ys, where x < y and n = 0, and continue with mosses with the same number of large steps but a linearly growing quantity of small steps. An example of such a family is the mos sequence 5L 2s, 5L 7s, 5L 12s, 5L 17s, etc, where each successive mos has 5 more small steps than the last.
Equave-agnostic names (proposed by Ganaram) are an extension to the equave-agnostic names provide by TAMNAMS. They are based on Greek, Latin, and Sanskrit numeral prefixes. Names for multi-period equave-agnostic mosses are not provided, as they would be repetitions of a smaller step pattern.
 
{| class="wikitable center-all"
Mosses in a linear family are based on repeated applications of the replacement ruleset L->Ls and s->s on the initial mos, and reaching the nth member of a linear family requires the initial mos have a hard or pseudocollapsed step ratio. The child mos (x+y)L xs is the start of its own linear family, which relates back to the initial mos xL ys if the initial mos has a step ratio that is soft or pseudoequalized.
 
Names for these families describe a subset of a mos descendant family, and most mos families go by the name of ''(mos name)'' ''linear family'' or ''(mos-prefix)linear family''.
{| class="wikitable"
|+Names of single-period mos linear families (work-in-progress)
! colspan="3" |Trivial families (names not based on "linear")
|-
|-
!Mos
! colspan="5" |6-note mosses
!Name
!Reasoning
|-
|-
|1L (n+1)s
!Pattern
|monolarge family
!Suggested name
|Represents an entire family of mosses formerly unnamed by TAMNAMS
!Prefix
The name "monolarge" is chosen as it succinctly describes the only possible 1L family
!Abbrev.
|-
|2L (2n+1)s
|bilarge family
|Named analogously to the monolarge family
|-
|3L (3n+1)s
|trilarge family
|Named analogously to the monolarge family
|-
! colspan="3" |Families with 3 large steps
|-
!Mos
!Name
!Reasoning
!Reasoning
|-
|-
|3L (3n+2)s
|1L 5s
|apentilinear family
|anhexic
|Named after anpentic
|ahex-
|ahx
|Greek numeral prefix (hex-) for six, plus "an-"
|-
|-
! colspan="3" |Families with 4 large steps
|5L 1s
|hexic
|hex-
|hx
|Greek numeral prefix "(hex-) for six
|-
|-
!Mos
! colspan="5" |7-note mosses
!Name
!Reasoning
|-
|-
|4L (4n+1)s
!Pattern
|manulinear family
!Suggested name
|Named after manual
!Prefix
|-
!Abbrev.
|4L (4n+3)s
|smilinear family
|Named after smitonic
|-
! colspan="3" |Families with 5 large steps
|-
!Mos
!Name
!Reasoning
!Reasoning
|-
|-
|5L (5n+1)s
|1L 6s
|mechlinear family
|ansaptic
|Named after machinoid (prefix mech-)
|ansap-
|asp
|Sanskrit numeral prefix (sapta-) for seven, plus "an-"
|-
|-
|5L (5n+2)s
|2L 5s
|p-linear family
|anheptic
|Named after p-chromatic rather than diatonic, which has no prefix
|anhep-
|ahp
|Greek numeral prefix (hepta-) for seven, plus "an-"
|-
|-
|5L (5n+3)s
|3L 4s
|oneirolinear family
|anseptenic
|Named after oneirotonic
|ansep-
|asep
|Latin numeral prefix (septen-) for seven, plus "an-"
|-
|-
|5L (5n+4)s
|4L 3s
|chtonlinear family
|septenic
|Named after semiquartal (prefix chton-)
|sep-
|sep
|Latin numeral prefix (septen-) for seven
|-
|-
! colspan="3" |Families with 6 large steps
|5L 2s
|heptic
|hep-
|hp
|Greek numeral prefix (hepta-) for seven
|-
|-
!Mos
|6L 1s
!Name
|saptic
!Reasoning
|sap-
|sp
|Sanskrit numeral prefix (sapta-) for seven
|-
|-
|6L (6n+1)s
! colspan="5" |8-note mosses
|archeolinear family
|Named after archeotonic
|-
|-
|6L (6n+5)s
!Pattern
|xeimlinear family
!Suggested name
|Named after xeimtonic, a former name for 6L 5s
!Prefix
|-
!Abbrev.
! colspan="3" |Families with 7 large steps
|-
!Mos
!Name
!Reasoning
!Reasoning
|-
|-
|7L (7n+1)s
|1L 7s
|pinelinear family
|anastaic
|Named after pine
|anast-
|aast
|Sanskrit numeral prefix (aṣṭa-) for eight, plus "an-"
|-
|-
|7L (7n+2)s
|3L 5s
|armlinear family
|anoctic
|Named after superdiatonic (also called armotonic)
|anoct-
|aoct
|Greek/Latin numeral prefix (octo-) for eight, plus "an-"
|-
|-
|7L (7n+3)s
|5L 3s
|dicolinear or zalinear family
|octic
|Named after dicotonic (also called zaltertic)
|oct-
|oct
|Greek/Latin numeral prefix (octo-) for eight
|-
|-
|7L (7n+4)s
|7L 1s
|prasmilinear family
|astaic
|Named after a truncation of a former name for 7L 4s (suprasmitonic)
|ast-
|ast
|Sanskrit numeral prefix (aṣṭa-) for eight
|-
|-
|7L (7n+5)s
! colspan="5" |9-note mosses
|m-linear family
|Named after m-chromatic, a former name for 7L 5s, as it's the start of its own linear family
|-
|-
|7L (7n+6)s
!Pattern
|
!Suggested name
|
!Prefix
!Abbrev.
!Reasoning
|-
|-
! colspan="3" |Families with 8 large steps
|1L 8s
|annavic
|annav-
|anv
|Sanskrit numeral prefix (nava-) for nine, plus "an-"
|-
|-
!Mos
|2L 7s
!Name
|anennaic
!Reasoning
|anenn-
|aenn
|Greek numeral prefix (ennea-) for nine, plus "an-"
|-
|-
|8L (8n+1)s
|4L 5s
|blulinear family
|annovemic
|Named after subneutralic (prefix blu-)
|annov-
|anv
|Latin numeral prefix (novem-) for nine, plus "an-"
|-
|-
|8L (8n+3)s
|5L 4s
|
|novemic
|
|nov-
|nv
|Latin numeral prefix (novem-) for nine
|-
|-
|8L (8n+5)s
|7L 2s
|petrlinear family
|ennaic
|Named after petroid, a former name for 8L 5s
|enn-
|enn
|Greek numeral prefix (ennea-) for nine
|-
|-
|8L (8n+7)s
|8L 1s
|
|navic
|
|nav-
|nv
|Sanskrit numeral prefix (nava-) for nine
|-
|-
! colspan="3" |Families with 9 large steps
! colspan="5" |10-note mosses
|-
|-
!Mos
!Pattern
!Name
!Suggested name
!Prefix
!Abbrev.
!Reasoning
!Reasoning
|-
|-
|9L (9n+1)s
|1L 9s
|sinalinear family
|andashic
|Named after sinatonic
|andash-
|adsh
|Sanskrit numeral prefix (dasha-) for ten, plus "an-"
|-
|-
|9L (9n+2)s
|3L 7s
|
|andeckic
|
|andeck-
|adek
|Greek/Latin numeral prefix (decem-/deca-) for ten, plus "an-"
|-
|-
|9L (9n+4)s
|7L 3s
|
|deckic
|
|deck-
|dek
|Greek/Latin numeral prefix (decem-/deca-) for ten
|-
|-
|9L (9n+5)s
|9L 1s
|
|dashic
|
|dash-
|-
|dsh
|9L (9n+7)s
|Sanskrit numeral prefix (dasha-) for ten
|
|
|-
|9L (9n+8)s
|
|
|}
|}
== Reasoning for names ==
The overall motivation for these names is to give names to closely related mosses and refer to individual mosses as some member of a broader family, rather than name individual mosses.


The names for the first three generations of mosses are based on existing terms. These terms are open to further changes to make pronunciation easier.
== Appendix ==
The motivation behind these names is from a desire to expand TAMNAMS-like names past the current note limit of 10 steps and, to a lesser extent, preserve former TAMNAMS names given to such mosses.


* The phrase ''chromatic mos'' is based on former names for the child mosses of diatonic (5L 2s) - p-chromatic for 5L 7s and m-chromatic for 7L 5s - and has seen use on the wiki to refer the children of non-diatonic mosses.
The names for mos descendants are given the general terms of ''child'', ''grandchild'', ''great-grandchild'', and so on. Formerly, names based on the terms ''chromatic'' and ''enharmonic'' were prescribed, much in the spirit of ''m-chromatic'' and ''p-chromatic''. These terms, accompanied by single-letter prefixes, such as ''m-'' and ''p-'', and others, were used as bases for the descendants of any mos. However, these names were abandoned since the concept of ''chromatic'' did not generalize well outside the context of chromatic pairs, and the single-letter prefixes were considered temperament-suggestive.
* The phrase ''enharmonic mos'' is based off of Discord discussions on how to name grandchild mosses. This has also seen use on the wiki to refer to the grandchild mosses of 5L 2s.
* The phrase ''subchromatic mos'' is based on a term coined by Mike Battaglia to describe a scale that is more chromatic than either chromatic or enharmonic. These terms also line up with [[Diatonic, Chromatic, Enharmonic, Subchromatic|this page]], which describes the progression of a diatonic scale's (or mos's) progression of child mosses.


The format of adding a mos's prefix to the terms descendant, chromatic, enharmonic, and subchromatic is best applied to mosses that have no more than three periods. With mosses that descend directly from nL ns mosses especially (4L 4s and above), this is to keep names from being too complicated (eg, ''chromatic (number)-wood'' instead of ''(number)-woodchromatic'').
More unique names have been prescribed by others, but have limited use or acceptance by the xen community as a whole.


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 shows the letters diverging from one another, notably where m- is no longer next to p- and f- and s- are no longer along the extremes. Rather than using these letters, as well as being temperament-agnostic, prefixes based on step ratios are used instead. However, temperament-based prefixes may be used specifically for diatonic descendants as alternatives to the prefixes based on step ratios.
The names ''m-chromatic'' and ''p-chromatic'', as they apply to 7L 5s and 5L 7s, are left unchanged, but can alternatively be described generally as ''child scales of diatonic'', or specifically, the ''child scale of soft diatonic'' and ''child scale of hard diatonic'' respectively.
{| class="wikitable"
|+Prefixes for diatonic descendants
! rowspan="2" |Diatonic scale
! colspan="3" |Chromatic mosses
! colspan="3" |Enharmonic mosses
! colspan="3" |Subchromatic mosses
|-
!Steps
!Temp-based prefix
!Ratio-based prefix
!Steps
!Temp-based prefix
!Ratio-based prefix
!Steps
!Temp-based prefix
!Ratio-based prefix
|-
| rowspan="8" |[[5L 2s]]
| rowspan="4" |[[7L 5s]]
| rowspan="4" |m- (from meantone)
| rowspan="4" |s-
| rowspan="2" |[[7L 12s]]
| rowspan="2" |f- (from flattone)
| rowspan="2" |s-
|[[7L 19s]]
|t- (from tridecimal)
|us-
|-
|[[19L 7s]]
|f- (from flattone)
|ps-
|-
| rowspan="2" |[[12L 7s]]
| rowspan="2" |m- (from meantone)
| rowspan="2" |os-
|[[19L 12s]]
|m- (from meanpop)
|qs-
|-
|[[12L 19s]]
|h- (from huygens)
|ms-
|-
| rowspan="4" |[[5L 7s]]
| rowspan="4" |p- (from pythagorean)
| rowspan="4" |h-
| rowspan="2" |[[12L 5s]]
| rowspan="2" |p- (from pythagorean)
| rowspan="2" |oh-
|[[12L 17s]]
|p- (from pythagorean)
|mh-
|-
|[[17L 12s]]
|g- (from gentle)
|qh-
|-
| rowspan="2" |[[5L 12s]]
| rowspan="2" |s- (from superpyth)
| rowspan="2" |h-
|[[17L 5s]]
|s- (from superpyth)
|ph-
|-
|[[5L 17s]]
|u- (from ultrapyth)
|uh-
|}

Latest revision as of 19:16, 10 February 2024

Main article: TAMNAMS

This page describes TAMNAMS-like names applied to octave-equivalent mosses with more than 10 notes, as well as non-octave mosses (fifth and tritave equivalent).

Disclaimer

The names described in this section may may have limited use. Some of these names may only find usage by a single person or a small group and thus have limited acceptance by the broader xen community. These names may also be subject to change as these names or the scales they refer to gain greater usage by the community, and it may be possible for the same scale to have more than one name.

Relating a mos and its descendants

Larger mosses can be described by how they related back to a more familiar mos and vice-versa. In general, all mosses with n periods relate back to a root mos of nL ns. For TAMNAMS-named mosses, any octave-equivalent mos with more than 10 steps and no more than 5 periods is related to some TAMNAMS-named mos.

In either case, any mos can be related to its descendants by treating it as the root of its own scale tree. Particularly in the absence of any names, mosses can be described as being some descendant of a related ancestor mos xL ys. Such mosses, called mos descendants – or children, grandchildren, and great-grandchildren, for the first three generations of descendants – contain the following pattern of step counts.

Parent Child Grandchild Great-grandchild
Large steps Small steps Large steps Small steps Large steps Small steps Large steps Small steps
x y x+y x x+y 2x+y x+y 3x+2y
3x+2y x+y
2x+y x+y 3x+2y 2x+y
2x+y 3x+2y
x x+y 2x+y x 2x+y 3x+y
3x+y 2x+y
x 2x+y 3x+y x
x 3x+y

For example, the first three generations of diatonic descendants can be described as:

  • Children of 5L 2s: 7L 5s and 5L 7s
  • Grandchildren of 5L 2s: 5L 12s, 12L 5s, 12L 7s, and 7L 12s
  • Great-grandchildren of 5L 2s: 5L 17s, 17L 5s, 17L 12s, 12L 17s, 12L 19s, 19L 12s, 12L 7s, and 7L 19s

Finding the ancestor of a descendant mos xL ys

For a mos xL ys, perform the following algorithm to find a familiar ancestor with target note count n or less:

  1. 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.
  2. Let m1 be assigned the value of max(z, w) and m2 the value of min(z, w).
  3. Assign to z the value m2 and w the value m1-m2.
  4. If z+w is less than or equal to n, then the ancestor mos is zL ws. If not, repeat the process starting at step 2.

Finding an ancestor's step ratio that produces a descandant mos xL ys

For a mos xL ys, perform the following algorithm to find the step ratio for a descendant mos zL ws with target note count n or less:

  1. Let z and w be the number of large and small steps of the parent mos to be found. Let U and V be two chunks, vectors containing the amounts of L's and s's from xL ys that make up the ancestor mos's large and small steps.
    1. Assign to z and w the values x and y respectively.
    2. Assign to U the vector { uL, us } = { 1, 0 } and V to the vector { vL, vs } = { 0, 1 }.
  2. Let m1 be assigned the value of max(z, w) and m2 the value of min(z, w).
    1. If w > z, then add V to U. Otherwise, assign to a temporary vector Utemp the value of U, add V to U, and assign to V the value of Utemp.
  3. Assign to z the value m2 and w the value m1-m2.
  4. If z+w is less than or equal to n, then the ancestor mos is zL ws. The step ratio range for the zL ws is (uL+ us):(vL+ vLs) to uL:vs. If z+w is not less than or equal to n, repeat the process starting at step 2.

Names for mosses with more than 10 notes

Names for nL ns mosses with more than 5 periods

The following names are based on the -wood names, with appropriate Greek numeral prefixes applied.

Pattern Suggested name Prefix Abbrev. Reasoning
6L 6s hexawood hexwd- hxw Greek numeral prefix (hexa-) for six, plus "wood"
7L 7s heptawood hepwd- hpw Greek numeral prefix (hepta-) for seven, plus "wood"
8L 8s octawood octwd- ocw Greek numeral prefix (octo-) for eight, plus "wood"
9L 9s enneawood ennwd- enw Greek numeral prefix (ennea-) for nine, plus "wood"
10L 10s decawood decwd- dkw Greek numeral prefix (deca-) for ten, plus "wood"
11L 11s hendecawood hedwd- hdw Greek numeral prefix (hendeca-) for 11, plus "wood"
12L 12s dodecawood dodwd- ddw Greek numeral prefix (dodeca-) for 12, plus "wood"
13L 13s 13-wood 13wd- 13w Number 13 prepended to "wood"
14L 14s 14-wood 14wd- 14w Number 14 prepended to "wood"
kL ks k-wood kwd kw General number k prepended to "wood"

Names for mosses with 11 or more notes (excluding nL ns mosses)

11-note mosses
Pattern Suggested name(s) Proposed by Reasoning
1L 10s tanzanite, tenorite Ganaram inukshuk More naming puns (tenzanite or tenorite).
4L 7s kleistonic Former TAMNAMS name.
7L 4s suprasmitonic Former TAMNAMS name.
daemotonic Eliora Various reasons; see 7L 4s.
9L 2s villatonic Ganaram inukshuk Indirectly references avila and casablanca temperaments.
ultradiatonic, superarmotonic CompactStar In reference to diatonic and armotonic.
12-note mosses
Pattern Suggested name(s) Proposed by Reasoning
1L 11s helenite Ganaram inukshuk In reference to the "ele" substring found in the word "eleven".
5L 7s p-chromatic Former TAMNAMS name.
7L 5s m-chromatic Former TAMNAMS name.
13-note mosses
Pattern Suggested name(s) Proposed by Reasoning
1L 12s zircon Ganaram inukshuk Zircon is used as a birthstone for December.
11L 2s hendecoid Eliora From Greek "eleven"; references how "its generator is so close to 11/8 as to be called nothing but that" and that it has 11 large steps.
14-note mosses
Pattern Suggested name(s) Proposed by Reasoning
13L 1s trollic Godtone The name proposed by Godtone refers to 12L 1s, but it refers to 13L 1s as a troll move.
Note count Pattern Suggested name(s) Proposed by Reasoning
17 2L 15s liesic Frostburn Frostburn's naming scheme only goes up to 3 generations, so this name is suggested.
19 3L 16s magicaltonic Xenllium In reference to magic temperament.
16L 3s muggletonic Xenllium In reference to muggle temperament.
21 10L 11s miracloid Eliora In reference to miracle temperament.
22 3L 19s zheligowskic Frostburn In reference to Lucjan Żeligowski leading fights against the town of Giedraičiai.
19L 3s giedraitic Frostburn Named after the basic magic layout of Kite Giedraitis' guitar. Proposed prefix is "kai-".
21L 1s escapist Eliora References escapade temperament, which is supported by both 21edo and 22edo, covering the entire range.
23 22L 1s quartismoid Eliora Five generators of roughly 33/32 quartertone are equal to 7/6 in the harmonic entropy minimum; also, the extreme ranges of 22edo and 23edo both support this mos.

Names for non-octave mosses

3/1-equivalent mosses

7-note mosses <3/1>
Pattern Suggested name(s) Proposed by Reasoning
4L 3s electric CompactStar In reference to electra temperament
9-note mosses <3/1>
Pattern Suggested name(s) Proposed by Reasoning
4L 5s lambdatonic n/a "Lambda" already refers to 4L 5s
11-note mosses <3/1>
Pattern Suggested name(s) Proposed by Reasoning
7L 4s superelectric CompactStar? Expansion of 4L 3s
9L 2s subarcturus ? ?

3/2-equivalent mosses

4-note mosses <3/2>
Pattern Suggested name(s) Proposed by Reasoning
1L 3s neptunian CompactStar In reference to "uranian" for 3L 2s<3/2>
5-note mosses <3/2>
Pattern Suggested name(s) Proposed by Reasoning
2L 3s saturnian CompactStar In reference to "uranian" for 3L 2s<3/2>
3L 2s uranian ? ?

Names for equave-agnostic mosses

Equave-agnostic names (proposed by Ganaram) are an extension to the equave-agnostic names provide by TAMNAMS. They are based on Greek, Latin, and Sanskrit numeral prefixes. Names for multi-period equave-agnostic mosses are not provided, as they would be repetitions of a smaller step pattern.

6-note mosses
Pattern Suggested name Prefix Abbrev. Reasoning
1L 5s anhexic ahex- ahx Greek numeral prefix (hex-) for six, plus "an-"
5L 1s hexic hex- hx Greek numeral prefix "(hex-) for six
7-note mosses
Pattern Suggested name Prefix Abbrev. Reasoning
1L 6s ansaptic ansap- asp Sanskrit numeral prefix (sapta-) for seven, plus "an-"
2L 5s anheptic anhep- ahp Greek numeral prefix (hepta-) for seven, plus "an-"
3L 4s anseptenic ansep- asep Latin numeral prefix (septen-) for seven, plus "an-"
4L 3s septenic sep- sep Latin numeral prefix (septen-) for seven
5L 2s heptic hep- hp Greek numeral prefix (hepta-) for seven
6L 1s saptic sap- sp Sanskrit numeral prefix (sapta-) for seven
8-note mosses
Pattern Suggested name Prefix Abbrev. Reasoning
1L 7s anastaic anast- aast Sanskrit numeral prefix (aṣṭa-) for eight, plus "an-"
3L 5s anoctic anoct- aoct Greek/Latin numeral prefix (octo-) for eight, plus "an-"
5L 3s octic oct- oct Greek/Latin numeral prefix (octo-) for eight
7L 1s astaic ast- ast Sanskrit numeral prefix (aṣṭa-) for eight
9-note mosses
Pattern Suggested name Prefix Abbrev. Reasoning
1L 8s annavic annav- anv Sanskrit numeral prefix (nava-) for nine, plus "an-"
2L 7s anennaic anenn- aenn Greek numeral prefix (ennea-) for nine, plus "an-"
4L 5s annovemic annov- anv Latin numeral prefix (novem-) for nine, plus "an-"
5L 4s novemic nov- nv Latin numeral prefix (novem-) for nine
7L 2s ennaic enn- enn Greek numeral prefix (ennea-) for nine
8L 1s navic nav- nv Sanskrit numeral prefix (nava-) for nine
10-note mosses
Pattern Suggested name Prefix Abbrev. Reasoning
1L 9s andashic andash- adsh Sanskrit numeral prefix (dasha-) for ten, plus "an-"
3L 7s andeckic andeck- adek Greek/Latin numeral prefix (decem-/deca-) for ten, plus "an-"
7L 3s deckic deck- dek Greek/Latin numeral prefix (decem-/deca-) for ten
9L 1s dashic dash- dsh Sanskrit numeral prefix (dasha-) for ten

Appendix

The motivation behind these names is from a desire to expand TAMNAMS-like names past the current note limit of 10 steps and, to a lesser extent, preserve former TAMNAMS names given to such mosses.

The names for mos descendants are given the general terms of child, grandchild, great-grandchild, and so on. Formerly, names based on the terms chromatic and enharmonic were prescribed, much in the spirit of m-chromatic and p-chromatic. These terms, accompanied by single-letter prefixes, such as m- and p-, and others, were used as bases for the descendants of any mos. However, these names were abandoned since the concept of chromatic did not generalize well outside the context of chromatic pairs, and the single-letter prefixes were considered temperament-suggestive.

More unique names have been prescribed by others, but have limited use or acceptance by the xen community as a whole.

The names m-chromatic and p-chromatic, as they apply to 7L 5s and 5L 7s, are left unchanged, but can alternatively be described generally as child scales of diatonic, or specifically, the child scale of soft diatonic and child scale of hard diatonic respectively.

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