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Simplified names table based on sandbox rewrite
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Some of the names come from older temperament-agnostic mos names, such as names (such as ''mosh'') from [[Graham Breed]]'s [[Graham Breed's MOS naming scheme|mos names]]. These names have been coined so that mosses can be discussed more independently of RTT temperaments. Sometimes the prefix has a different source than the scale name for euphonic reasons.
Some of the names come from older temperament-agnostic mos names, such as names (such as ''mosh'') from [[Graham Breed]]'s [[Graham Breed's MOS naming scheme|mos names]]. These names have been coined so that mosses can be discussed more independently of RTT temperaments. Sometimes the prefix has a different source than the scale name for euphonic reasons.


=== Names for mosses with 2-10 steps ===
=== Names for mosses with 6-10 steps ===
This list is maintained by [[User:Inthar]] and [[User:Godtone]].
This list is maintained by [[User:Inthar]] and [[User:Godtone]].
{| class="wikitable center-all"
{| class="wikitable center-all"
|+ style="font-size: 110%;" | TAMNAMS moss names
! colspan="6" | 2-note mosses
|-
|-
! 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>!!Allows non-octave tunings?<ref name="general">whether the name can be used for mosses with no octaves; lightly tempered octaves are allowed;<br />names for mosses with more than 5 notes do not admit nonoctave tunings because the names are specific to the corresponding valid tuning range</ref> !! Etymology
! colspan="5" |6-note mosses
|-
|-
| [[1L 1s]] || trivial || triv- || trv || Yes; can have any period || The simplest valid mos pattern
! Pattern!!Name!!Prefix!!Abbr.!!Etymology
|-
|-
| [[1L 1s]] || monowood || monowd- || wood || No; must have octave period || blackwood[10] & whitewood[14] generalized to n-wood for nL ns
|[[1L 5s]]||antimachinoid||amech-||amk||Opposite pattern of machinoid.
|-
|-
! colspan="6" | 3-note mosses (non-octave<ref name="general" />)
| [[2L 4s]]||malic||mal-||mal||Sister mos of 4L 2s; apples have concave ends, whereas lemons/limes have convex ends.
|-
|-
! Pattern !! Name !! Prefix<ref name="prefix" /> !! Abbr.<ref name="abbr" /> !! (Non-octave periods allowed)<ref name="general" /> !! Etymology
|[[3L 3s]]||triwood||triwd-||tw||[[Blackwood]][10] and [[whitewood]][14] generalized to 3 periods.
|-
|-
| [[1L 2s]] || antrial || atri- || atri || Yes; can have any period || broader range than trial so named w.r.t. it (anti-trial; antial; antrial)
|[[4L 2s]]||citric||citro-|| cit||Parent (or subset) mos of 4L 6s and 6L 4s.
|-
|-
| [[2L 1s]] || trial || tri- || tri || Yes; can have any period || from tri- for 3
|[[5L 1s]]||machinoid||mech-|| mk|| From [[machine]] temperament.
|-
|-
! colspan="6" | 4-note mosses
! colspan="5" | 7-note mosses
|-
|-
! Pattern !! Name !! Prefix<ref name="prefix" /> !! Abbr.<ref name="abbr" /> !! Allows non-octave tunings?<ref name="general" /> !! Etymology
!Pattern !!Name!!Prefix!!Abbr.!!Etymology
|-
|-
| [[1L 3s]] || antetric || atetra- || att || Yes; can have any period || broader range than tetric so named w.r.t. it (anti-tetric; antetric)
|[[1L 6s]]|| onyx||on- ||on||Sounds like "one-six" depending on one's pronunciation; also called ''anti-archeotonic<ref name="anti-name">Alternate name based on the name of its sister mos, with anti- prefix added.</ref>''.
|-
|-
| [[2L 2s]] || biwood || biwd- || bw || No; two periods must be an octave || from 2-wood
|
[[2L 5s]]||antidiatonic ||pel-||pel||Opposite Pattern of diatonic;pel- is from pelog.
|-
|-
| [[3L 1s]] || tetric || tetra- || tt || Yes; can have any period || from tetra- for 4
|[[3L 4s]]||mosh||mosh-||mosh ||From "mohajira-ish", a name from [[Graham Breed's MOS naming scheme|Graham Breed's naming scheme]].
|-
|-
! colspan="6" | 5-note mosses (non-octave<ref name="general" />)
| [[4L 3s]]||smitonic|| smi-||smi||From "sharp minor third".
|-
|-
! Pattern !! Name !! Prefix<ref name="prefix" /> !! Abbr.<ref name="abbr" /> !! (Non-octave periods allowed)<ref name="general" /> !! Etymology
|[[5L 2s]]||diatonic||dia-||dia||
|-
|-
| [[1L 4s]] || pedal || ped- || ped || || one big toe and four small toes
|[[6L 1s]]||archaeotonic|| arch-||arc||Originally a name for 13edo's 6L 1s scale; also called ''archæotonic/archeotonic<ref name="spelling">Spelling variant.</ref>''.
|-
|-
| [[2L 3s]] || pentic || pent- || pt || || common pentatonic; from penta- for 5
! colspan="5" |8-note mosses
|-
|-
| [[3L 2s]] || antipentic || apent- || apt || || opposite pattern of common pentatonic mos
!Pattern!!Name!!Prefix !!Abbr.!!Etymology
|-
|-
| [[4L 1s]] || manual || manu- || manu || || one thumb and four longer fingers
|[[1L 7s]]||antipine ||apine-||ap||Opposite pattern of pine.
|-
|-
! colspan="6" | 6-note mosses
|[[2L 6s]]||subaric||subar-|| sb ||Parent (or subset) mos of 2L 8s and 8L 2s.
|-
|-
! Pattern !! Name !! Prefix<ref name="prefix" /> !! Abbr.<ref name="abbr" /> !! See notes on tuning<ref name="general" /> !! Etymology
|[[3L 5s]]||checkertonic || check- ||chk||From the [[Kite Giedraitis's Categorizations of 41edo Scales|Kite guitar checkerboard scale]].
|-
|-
| [[1L 5s]] || antimachinoid || amech- || amech || || opposite pattern of machinoid
|[[4L 4s]]||tetrawood ||tetrawd-||ttw ||Blackwood[10] and whitewood[14] generalized to 4 periods; also called ''diminished<ref name="unofficial2">Common name no longer recommend by TAMNAMS due to risk of ambiguity. Provided for reference.</ref>.''
|-
|-
| [[2L 4s]] || malic || mal- || mal || antrial mos w/ 2 periods per octave || apples have two concave ends, lemons have two pointy ends.
| [[5L 3s]]||oneirotonic||oneiro-|| or||Originally a name for 13edo's 5L 3s scale; also called ''oneiro''<ref>Shortened form of name.</ref>.
|-
|-
| [[3L 3s]] || triwood || triwd- || trw || trivial mos w/ 3 periods per octave || from 3-wood
|[[6L 2s]]||ekic||ek-||ek||From [[echidna]] and [[hedgehog]] temperaments.
|-
|-
| [[4L 2s]] || citric || citro- || cit || trial mos w/ 2 periods per octave || parent mos of lemon and lime
|[[7L 1s]]|| pine||pine-||p || From [[porcupine]] temperament.
|-
|-
| [[5L 1s]] || machinoid || mech- || mech || || from [[machine]] temperament
! colspan="5" |9-note mosses
|-
|-
! colspan="6" | 7-note mosses
!Pattern!!Name!!Prefix!! Abbr.!!Etymology
|-
|-
! Pattern !! Name !! Prefix<ref name="prefix" /> !! Abbr.<ref name="abbr" /> !! See notes on tuning<ref name="general" /> !! Etymology
|[[1L 8s]]||antisubneutralic||ablu-|| ablu||Opposite pattern of subneutralic.
|-
|-
| [[1L 6s]] || onyx || on- || on || || from a ''lot'' of naming puns
|[[2L 7s]]||balzano||bal-||bz||Originally a name for 20edo's 2L 7s (and 2L 11) scales; bal- is pronounced /bæl/.
|-
|-
| [[2L 5s]] || antidiatonic || pel- || pel || || pel- is from pelog
| [[3L 6s]]||tcherepnin ||cher-|| ch||In reference to Tcherepnin's 9-note scale in 12edo.
|-
|-
| [[3L 4s]] || mosh || mosh- || mosh || || Graham Breed's name; from "mohajira-ish"
| [[4L 5s]]||gramitonic ||gram-||gm|| From "grave minor third".
|-
|-
| [[4L 3s]] || smitonic || smi- || smi || || from "sharp minor third"
|[[5L 4s]]||semiquartal||cthon- ||ct||From "half fourth"; cthon- is from "chthonic".
|-
|-
| [[5L 2s]] || diatonic || dia- || dia || ||  
|[[6L 3s]]|| hyrulic||hyru- ||hy ||References [[triforce]] temperament.
|-
|-
| [[6L 1s]] || arch(a)eotonic || arch- || arch || || originally a name for 13edo's 6L 1s
|[[7L 2s]]||armotonic||arm-||am||From [[Armodue]] theory; also called ''superdiatonic<ref name="unofficial2" />.''
|-
|-
! colspan="6" | 8-note mosses
|[[8L 1s]]||subneutralic||blu-|| blu||Derived from the generator being between supraminor and neutral quality; blu- is from [[bleu]] temperament.
|-
|-
! Pattern !! Name !! Prefix<ref name="prefix" /> !! Abbr.<ref name="abbr" /> !! See notes on tuning<ref name="general" /> !! Etymology
! colspan="5" |10-note mosses
|-
|-
| [[1L 7s]] || antipine || apine- || apine || || opposite pattern of pine
! Pattern !! Name!!Prefix !! Abbr.!!Etymology
|-
|-
| [[2L 6s]] || subaric || subar- || subar || antetric mos w/ 2 periods per octave || largest subset mos of jaric and taric
|[[1L 9s]]|| antisinatonic || asina-|| asi||Opposite pattern of sinatonic.
|-
|-
| [[3L 5s]] || checkertonic || check- || chk || || from the [[Kite Giedraitis's Categorizations of 41edo Scales|Kite guitar checkerboard scale]]
|[[2L 8s]]||jaric||jara-||ja||From [[pajara]], [[injera]], and [[diaschismic]] temperaments.
|-
|-
| [[4L 4s]] || tetrawood (aka diminished<ref name="unofficial">This is a common name but is no longer the recommended TAMNAMS name due to ambiguity; we provide it here for reference.</ref>) || tetrawd- || ttw || trivial mos w/ 4 periods per octave || from 4-wood
|[[3L 7s]]|| sephiroid || seph-||sp|| From [[sephiroth]] temperament.
|-
|-
| [[5L 3s]] || oneirotonic || oneiro- || onei || || originally a name for 13edo's 5L 3s
|[[4L 6s]]||lime||lime- ||lm||Sister mos of 6L 4s; limes are smaller than lemons, as are 4L 6s's step sizes compared to 6L 4s.
|-
|-
| [[6L 2s]] || ekic || ek- || ek || tetric mos w/ 2 periods per octave || from temperaments [[echidna]] and [[hedgehog]]
| [[5L 5s]]|| pentawood||pentawd-||pw||Blackwood[10] and whitewood[14] generalized to 5 periods.
|-
|-
| [[7L 1s]] || pine || pine- || pine || || from [[porcupine]] temperament
| [[6L 4s]]||lemon||lem-|| le||From [[lemba]] temperament. Also sister mos of 4L 6s.
|-
|-
! colspan="6" | 9-note mosses
|[[7L 3s]]||dicoid||dico-||di||From [[Dicot family#Dichotic|dichotic]] and [[dicot]] (dicoid) exotemperaments; pronounced /'daɪˌkɔɪd/.
|-
|-
! Pattern !! Name !! Prefix<ref name="prefix" /> !! Abbr.<ref name="abbr" /> !! See notes on tuning<ref name="general" /> !! Etymology
|[[8L 2s]]|| taric||tara-||ta||Sister mos of 2L 8s; based off of [[wikipedia:Hindustani_numerals|Hindi]] word for 18 (aṭhārah), since 18edo contains basic 8L 2s.
|-
|-
| [[1L 8s]] || antisubneutralic || ablu- || ablu || || opposite pattern of subneutralic
|[[9L 1s]]||sinatonic||sina- ||si||Derived from the generator being within the range of a [[sinaic]].
|-
| [[2L 7s]] || balzano || bal- /bæl/ || bal || || from Balzano scale in 20edo which is 2L 7s
|-
| [[3L 6s]] || tcherepnin || cher- || ch || antrial mos w/ 3 periods per octave || common name
|-
| [[4L 5s]] || gramitonic || gram- || gram || || from "grave minor third"
|-
| [[5L 4s]] || semiquartal || cthon- || cth || || from "half fourth" and "chthonic"
|-
| [[6L 3s]] || hyrulic || hyru- || hyru || trial mos w/ 3 periods per octave || allusion to [[triforce]] temperament
|-
| [[7L 2s]] || armotonic (aka superdiatonic<ref name="unofficial" />) || arm- || arm || || arm-(otonic) references [[Armodue]]
|-
| [[8L 1s]] || subneutralic || blu- || blu || || from the gen's flat neutral quality. blu- is from [[bleu]] temperament
|-
! colspan="6" | 10-note mosses
|-
! Pattern !! Name !! Prefix<ref name="prefix" /> !! Abbr.<ref name="abbr" /> !! See notes on tuning<ref name="general" /> !! Etymology
|-
| [[1L 9s]] || antisinatonic || asina- || asi || || opposite pattern of sinatonic
|-
| [[2L 8s]] || jaric || jara- || jar || pedal mos w/ 2 periods per octave || from temperaments [[pajara]], [[injera]] and [[diaschismic]]
|-
| [[3L 7s]] || sephiroid || seph- || seph || || from [[sephiroth]] temperament
|-
| [[4L 6s]] || lime || lime- || lime || pentic mos w/ 2 periods per octave || limes/4L 6s's steps tend to be smaller than lemons/6L 4s's steps
|-
| [[5L 5s]] || pentawood || pentawd- || pw || trivial mos w/ 5 periods per octave || from 5-wood
|-
| [[6L 4s]] || lemon || lem- || lem || anpentic mos w/ 2 periods per octave || from [[lemba]] temperament
|-
| [[7L 3s]] || dicoid /'daɪˌkɔɪd/ || dico- || dico || || from exotemperaments [[Dicot family#Dichotic|dichotic]] and [[dicot]] (dicoid)
|-
| [[8L 2s]] || taric || tara- || tar || manual mos w/ 2 periods per octave || from Hindi ''aṭhārah'' '[[#Taric (8L 2s)|18]]'
|-
| [[9L 1s]] || sinatonic || sina- || si || || from [[sinaic]]
|}
|}
<references />
<references />


=== Expansion to mosses with more than 10 steps ===
=== Expansion to smaller mosses===
 
===Expansion to larger mosses ===
{{see also| TAMNAMS Extension}}
{{see also| TAMNAMS Extension}}
Various users have proposed names for mosses with more than 10 steps, commonly referred to as "TAMNAMS extensions". Chief among these are the following:
Various users have proposed names for mosses with more than 10 steps, commonly referred to as "TAMNAMS extensions". Chief among these are the following:


* [[User:Frostburn/TAMNAMS Extension]]
*[[User:Frostburn/TAMNAMS Extension]]
* [[User:Ganaram inukshuk/TAMNAMS Extension]]
*[[User:Ganaram inukshuk/TAMNAMS Extension]]


== Naming mos modes ==
==Naming mos modes==
TAMNAMS uses [[Modal UDP notation]] to name modes. For example, the names of modes for 5L 3s are the names of the mos followed by the UDP of that mode.
TAMNAMS uses [[Modal UDP notation]] to name modes. For example, the names of modes for 5L 3s are the names of the mos followed by the UDP of that mode.
{{MOS mode degrees|Scale Signature=5L 3s|MOS Prefix=mos|Mode Names=Default}}
{{MOS mode degrees|Scale Signature=5L 3s|MOS Prefix=mos|Mode Names=Default}}
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For a mos pattern given a name in TAMNAMS, there is also the option of using the prefix for the pattern instead of saying "xL ys": the 5L 3s mode LsLLsLLs can be written "onei-5|2".
For a mos pattern given a name in TAMNAMS, there is also the option of using the prefix for the pattern instead of saying "xL ys": the 5L 3s mode LsLLsLLs can be written "onei-5|2".


== Generalization to non-mos scales ==
==Generalization to non-mos scales==
=== Intervals in arbitrary scales ===
===Intervals in arbitrary scales===
Zero-indexed interval names are also used for arbitrary scales, so we can still call a k-step interval a ''k-step'' and the corresponding degree the ''k-degree''. But instead of ''k-mosstep'' and ''k-mosdegree'', we use ''k-scalestep'' and ''k-scaledegree'' for arbitrary scales.
Zero-indexed interval names are also used for arbitrary scales, so we can still call a k-step interval a ''k-step'' and the corresponding degree the ''k-degree''. But instead of ''k-mosstep'' and ''k-mosdegree'', we use ''k-scalestep'' and ''k-scaledegree'' for arbitrary scales.


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Analogously to binary scales including mosses, ternary scales, i.e. those with three step sizes L > M > S, including [[MV3]] scales, can also be defined by their L:M:S ratios. Here TAMNAMS names the L/M ratio and then the M/S ratio as if these were mos step ratios: for example, [[21edo]] [[diasem]] (5L 2M 2s, LMLSLMLSL or its inverse) has a step ratio of L:M:S = 3:2:1, so we name it ''soft-basic diasem''. If the ratios are the same, repetition may optionally be omitted, so that [[26edo]] diasem, 4:2:1, may optionally be called "basic diasem" instead of "basic-basic diasem". Not to be confused with step ratios where one ratio is unspecified; for that, use:
Analogously to binary scales including mosses, ternary scales, i.e. those with three step sizes L > M > S, including [[MV3]] scales, can also be defined by their L:M:S ratios. Here TAMNAMS names the L/M ratio and then the M/S ratio as if these were mos step ratios: for example, [[21edo]] [[diasem]] (5L 2M 2s, LMLSLMLSL or its inverse) has a step ratio of L:M:S = 3:2:1, so we name it ''soft-basic diasem''. If the ratios are the same, repetition may optionally be omitted, so that [[26edo]] diasem, 4:2:1, may optionally be called "basic diasem" instead of "basic-basic diasem". Not to be confused with step ratios where one ratio is unspecified; for that, use:


* x:y:z (where x:y is known but y:z is not) is called ''(hardness term for x/y)-any''. x:x:1 is called ''equalized-any'' or ''LM-equalized'' (where x >= 1 represents a free variable).
*x:y:z (where x:y is known but y:z is not) is called ''(hardness term for x/y)-any''. x:x:1 is called ''equalized-any'' or ''LM-equalized'' (where x >= 1 represents a free variable).
* x:y:z (where y:z is known but x:y is not) is called ''any-(hardness term for y/z)''. x:1:1 is called ''any-equalized'' or ''MS-equalized'' (where x >= 1 represents a free variable).
* x:y:z (where y:z is known but x:y is not) is called ''any-(hardness term for y/z)''. x:1:1 is called ''any-equalized'' or ''MS-equalized'' (where x >= 1 represents a free variable).
* x:y:z (where x:z is known but x:y and y:z are not) is called ''outer-(hardness term for x/z)-any''. x:1:x is called ''outer-equalized-any'' or ''LS-equalized''. (where x >= 0 represents a free variable).
*x:y:z (where x:z is known but x:y and y:z are not) is called ''outer-(hardness term for x/z)-any''. x:1:x is called ''outer-equalized-any'' or ''LS-equalized''. (where x >= 0 represents a free variable).


=== Naming MV3 intervals ===
===Naming MV3 intervals===
[[MV3]] scales, such as [[diasem]], have at most 3 sizes for each interval class. For every interval class that occurs in exactly 3 sizes, we use ''large'', ''medium'' and ''small k-step''. For every interval class that occurs in 2 sizes, we use ''large k-step'' and ''small k-step''.  If an interval class only has one size, then we call it ''perfect k-step''.
[[MV3]] scales, such as [[diasem]], have at most 3 sizes for each interval class. For every interval class that occurs in exactly 3 sizes, we use ''large'', ''medium'' and ''small k-step''. For every interval class that occurs in 2 sizes, we use ''large k-step'' and ''small k-step''.  If an interval class only has one size, then we call it ''perfect k-step''.


== Appendix ==
==Appendix==
=== Reasoning for step ratio names ===
===Reasoning for step ratio names===
{{Main|TAMNAMS/Appendix#Reasoning for step ratio names}}
{{Main|TAMNAMS/Appendix#Reasoning for step ratio names}}


=== Reasoning for mos interval names ===
===Reasoning for mos interval names===
{{Main|TAMNAMS/Appendix#Reasoning for mos interval names}}
{{Main|TAMNAMS/Appendix#Reasoning for mos interval names}}


=== Reasoning for mos pattern names ===
===Reasoning for mos pattern names===
{{Main|TAMNAMS/Appendix#Reasoning for mos pattern names}}
{{Main|TAMNAMS/Appendix#Reasoning for mos pattern names}}


[[Category:TAMNAMS]]
[[Category:TAMNAMS]]
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