User:Ganaram inukshuk/TAMNAMS: Difference between revisions

{{Mbox|text=This page is a work-in-progress, '''proposed rewrite''' of the following page: [[TAMNAMS]]}}

'''TAMNAMS''' (read "tame names", from '''''T'''emperament-'''A'''gnostic '''M'''os '''NAM'''ing '''S'''ystem''; also pronounced /tæmnæms/), devised by the XA Discord in 2021, is a system of temperament-agnostic names for scales – primarily [[Octave equivalence|octave-equivalent]] [[moment of symmetry]] scales – as well as their their intervals, their associated generator ranges, and the ratios describing the proportions of large and small steps.

''No other changes to lead section''.

 

== Credits ==

''No changes.''

==Step ratio spectrum==

==Naming mos intervals==

==Naming mos degrees==

''Move section to before the names section.''

''This section contains unapproved namechanges. They are provided for reference/completeness and, unless approved, should not be included in the main-namespace rewrite.''

 

TAMNAMS uses the following names for octave-equivalent (or tempered-octave) mosses with step counts between 6 and 10, called the ''named range''. These names are optional, and conventional ''xL ys'' names can be used instead in discussions regarding mosses, its intervals, scale degrees, and modes.

 

Prefixes and abbreviations for each name are also provided, and can used in place of the prefix ''mos-'' and its abbreviation of ''m-'', as seen in mos-related terms, such as ''mosstep'' and ''mosdegree'', and their abbreviations of ''ms'' and ''md'', respectively. For example, discussion of the intervals and scale degrees of ''oneirotonic'' uses the terms ''oneirosteps'' and ''oneirodegrees'', abbreviated as ''oneis'' and ''oneid'', respectively.

 

This list is maintained by [[User:Inthar]] and [[User:Godtone]].

{| class="wikitable center-all"

! colspan="5" |6-note mosses

!Pattern!!Name !!Prefix!!Abbr.!!Etymology

|[[1L 5s]]||selenite?????||sel-||sel||References [[luna]] temperament (selenite is named after the moon); also called ''antimachinoid<ref name="anti-name">Alternate name based on the name of its sister mos, with anti- prefix added.</ref>''.

|[[2L 4s]]||malic||mal-||mal||Sister mos of 4L 2s; apples have concave ends, whereas lemons/limes have convex ends.

|[[3L 3s]]||triwood||triwd- ||tw||[[Blackwood]][10] and [[whitewood]][14] generalized to 3 periods.

|[[4L 2s]]||citric||citro-||cit||Parent (or subset) mos of 4L 6s and 6L 4s.

|[[5L 1s]]||machinoid || mech-||mech||From [[machine]] temperament.

! colspan="5" | 7-note mosses

!Pattern!!Name !!Prefix!!Abbr.!!Etymology

|[[1L 6s]]||onyx||on-||on||Sounds like "one-six" depending on one's pronunciation; also called ''anti-archeotonic<ref name="anti-name" />''.

|[[2L 5s]]||pelotonic||pel-||pel ||From pelog; also called ''antidiatonic<ref name="anti-name" />'', a common name.

|[[3L 4s]]||mosh||mosh-||mosh|| From "mohajira-ish", a name from [[Graham Breed's MOS naming scheme|Graham Breed's naming scheme]].

|[[4L 3s]]||smitonic||smi-||smi ||From "sharp minor third".

|[[5L 2s]]||diatonic ||dia-||dia||

|[[6L 1s]]|| archaeotonic||arch-||arch||Originally a name for 13edo's 6L 1s scale; also called ''archæotonic/archeotonic<ref name="spelling">Spelling variant.</ref>''.

! colspan="5" |8-note mosses

!Pattern!!Name !!Prefix!!Abbr.!!Etymology

|[[1L 7s]]||spinel||spin-||sp||Contains the string "pine", referencing its sister mos; also called ''antipine<ref name="anti-name" />.''

|[[2L 6s]]||subaric||subar-||sb|| Parent (or subset) mos of 2L 8s and 8L 2s.

|[[3L 5s]]||checkertonic || check-||chk||From the [[Kite Giedraitis's Categorizations of 41edo Scales|Kite guitar checkerboard scale]].

|[[4L 4s]]||tetrawood||tetrawd-||ttw||Blackwood[10] and whitewood[14] generalized to 4 periods; also called ''diminished<ref name="unofficial">Common name no longer recommend by TAMNAMS due to risk of ambiguity. Provided for reference.</ref>.''

|[[5L 3s]]||oneirotonic||oneiro-||onei||Originally a name for 13edo's 5L 3s scale; also called ''oneiro''<ref>Shortened form of name.</ref>.

|[[6L 2s]]||ekic||ek-||ek || From [[echidna]] and [[hedgehog]] temperaments.

|[[7L 1s]]||pine||pine-|| pine||From [[porcupine]] temperament.

! colspan="5" |9-note mosses

|[[1L 8s]]||agate||ag-||ag||Rhymes with "eight", depending on one's pronunciation; also called ''antisubneutralic<ref name="anti-name" />.''

|[[2L 7s]]||balzano||bal-||bal||Originally a name for 20edo's 2L 7s (and 2L 11) scales; bal- is pronounced /bæl/.

|[[3L 6s]]||tcheretonic ||cher-||ch ||In reference to Tcherepnin's 9-note scale in 12edo. Also called ''cheretonic<ref name="spelling" />''.

|[[4L 5s]]||gramitonic||gram-||gram||From "grave minor third".

|[[5L 4s]]||semiquartal||cthon-||cth||From "half fourth"; cthon- is from "chthonic".

|[[6L 3s]]||hyrulic||hyru-|| hy||References [[triforce]] temperament.

|[[7L 2s]]||armotonic||arm-||arm||From [[Armodue]] theory; also called ''superdiatonic<ref name="unofficial" />.''

|[[8L 1s]]||subneutralic||blu-||blu||Derived from the generator being between supraminor and neutral quality; blu- is from [[bleu]] temperament.

! colspan="5" |10-note mosses

|[[1L 9s]]||olivnie||oli-||oli||Rhymes with "nine", depending on one's pronunciation; also called ''antisinatonic<ref name="anti-name" />.''

|[[2L 8s]]||jaric||jara-||jar||From [[pajara]], [[injera]], and [[diaschismic]] temperaments.

|[[3L 7s]]||sephiroid||seph-||seph||From [[sephiroth]] temperament.

|-

|[[4L 6s]]||lime||lime-||lim ||Sister mos of 6L 4s; limes are smaller than lemons, as are 4L 6s's step sizes compared to 6L 4s.

|[[7L 3s]]||dicoid ||dico-|| dico||From [[Dicot family#Dichotic|dichotic]] and [[dicot]] (dicoid) exotemperaments; pronounced /'daɪˌkɔɪd/.

|[[8L 2s]]|| taric||tara- ||tar||Sister mos of 2L 8s; based off of [[wikipedia:Hindustani_numerals|Hindi]] word for 18 (aṭhārah), since 18edo contains basic 8L 2s.

|-

===Extending the named range===

For a discussion of names for mosses with fewer than 6 steps, see <link>. For a discussion of names for mosses with more than 10 steps, see <link>.

==Generalization to non-mos scales==

''No changes''.

==Extending the named range==

:''The following text should be added as subsection of Mos pattern names, to the appendix section [[TAMNAMS/Appendix#Reasoning for mos pattern names]].''

=== Extending the named range to smaller mosses ===

Expanding the named range to include mosses fewer than 6 steps entails naming pentatonic and tetratonic mosses, and smaller.  

These mosses require that some small integer multiple of the period is equal to an octave, under the reasoning that such step patterns are common and broad in tuning that their names can be validly reused in non-octave contexts. As a result, these names are chosen to be as general as possible, so as to avoid bias or flavor towards anything other than their step counts or step patterns.

The exception to this are the names ''monowood'' and ''biwood'', which must refer to an octave-equivalent mos pattern of 1L 1s or 2L 2s, respectively. Additionally, the name ''monowood'' is advised over ''trivial'' to refer to an octave-equivalent 1L 1s scale.

{| class="wikitable center-all"

! colspan="6" | 2-note mosses

!Pattern!!Name!!Prefix!!Abbr.

!Must be octave-equivalent?!!Etymology

|No ||The simplest valid mos pattern.

|monowood

|monowd-

|w

|Yes

| Blackwood[10] and whitewood[14] generalized to 1 period.

! colspan="6" |3-note mosses

!Must be octave-equivalent?!!Etymology

|[[1L 2s]]||antrial||atri- ||atri

|No ||Opposite pattern of 2L 1s, with broader range. Shortening of ''anti-trial''.

|[[2L 1s]]||trial||tri-||tri

|No||From tri- for 3.

! colspan="6" |4-note mosses

|[[1L 3s]]||antetric||atetra-||att

| No||Opposite pattern of 3L 1s, with broader range. Shortening of ''anti-tetric''.

|[[2L 2s]]||biwood||biwd- ||bw

|Yes||Blackwood[10] and whitewood[14] generalized to 2 periods.

|[[3L 1s]]||tetric||tetra-||tt

|No||From tetra- for 4.

|-

! colspan="6" |5-note mosses

|[[1L 4s]]||pedal||ped-||ped

|No ||From Latin ''ped'', for ''foot''; one big toe and four small toes.

|[[2L 3s]]||pentic||pent-||pt

|No||Common pentatonic; from penta- for 5.

|[[3L 2s]]||antipentic||apent-||apt

|No||Opposite pattern of 2L 3s.

|[[4L 1s]]||manual||manu-||manu

|No||From Latin ''manus'', for ''hand''; one thumb and four longer fingers.

==Reasoning for mos pattern names==

''The following is a rewrite to a section to the TAMNAMS appendix. This section contains unapproved namechanges. They are provided for reference/completeness and, unless approved, should not be included in the main-namespace rewrite.''

The goal of TAMNAMS mos names is to choose memorable names for the most common octave-equivalent mosses. Generally, names should befit the mos they're describing ''no matter what temperaments support it'', allowing them to be discussed agnostically of any RTT-related contexts.

Names are given to mosses that are the most likely to be used by musicians. As such, TAMNAMS primarily provides names for mosses within the range of 6 to 10 steps (or 2 to 10 steps, when including the extended named range for smaller mosses). This range is chosen to avoid naming large mosses for the sake of naming. Additionally, some of these reasonings also serve as justifications for changing earlier names. As such, this section not only provides reasonings for their names but also a record of how those reasonings were developed in the first place.

The following reasonings cover most TAMNAMS names and should be considered the minimum criteria for naming mosses.

Notable non-temperament names are incorporated into TAMNAMS if they do not cause confusion, or are given names that reference notable things. Such names include ''mosh'', ''tcheretonic'', ''archaeotonic'', ''oneirotonic'', ''balzano'', ''armotonic'', ''checkertonic'', and ''diatonic.''

====Names that describe an interval quality====

Several mosses are named after an interval or a (diatonic) interval quality. Such names include ''smitonic'', ''gramitonic'', ''semiquartal'', ''subneutralic'', and ''sinatonic'', from "sharp minor third", "grave minor third", "half-fourth", "between supraminor and neutral", and the interval [[sinaic]], respectively.

====Temperament-based names====

Temperament-based names should be used ''as a last resort'', and should be used to refer to a notable temperament. Most of these names are abstractions of their original temperament names insofar that they refer to a temperament, as some of these names have additional reasonings. Such names include ''pine'', ''hyrulic'', ''jaric'', ''ekic'' and ''lemon''; these reference the temperaments of [[porcupine]], [[triforce]], [[pajara]] (along with [[diaschismic]] and [[injera]]), [[echidna]], and [[lemba]], respectively.

Temperament-based names ending in the prefix ''-oid'' refer to [[Exotemperament|exotemperaments]] (low-accuracy temperametns) whose tuning ranges, when including extreme tunings, cover the entirety of their corresponding mosses. Therefore, edos with simple step ratios for that mos will correspond to valid tunings for that temperament (if not by patent val, then with a small number of warts). Such names include ''machinoid'', ''dicoid'', and ''sephiroid'', in reference to [[machine]], [[dichotic]]/[[dicot]], and [[sephiroth]] temperaments, respectively; for more information, see their specific reasonings under Reasoning for specific names.

Originally, 3L 5s, 6L 2s, 2L 7s, and 4L 5s were called ''sensoid'', ''echidnoid'', ''joanatonic'', and ''orwelloid'', respectively. These names were dropped since the temperaments [[sensi]], [[echidna]], [[joan]], and [[orwell]] were not suitable as exotemperaments, and the ''-oid'' suffix should be reserved for exotemperaments.

 

[[Step-generated scale|Monolarge]] mosses (mosses of the form 1L ''n''s) are given names based on their sister mos (''n''L 1s), with the ''anti-'' prefix added. The exception to this is 1L 6s, given the name ''onyx'' for the following reasonings:<blockquote>"1Ln-ic's" and "nL1-ic's (like, the -ic suffix applied to MOSS names, collectivised for 1Lns and nL1s) sounds like "one-el-en-ics" or "en-el-one-ics" which abbreviated sort of sounds like "one-ics" => "onyx". Then "onyx" sounds sort of like "one-six". Furthermore the onyx mineral comes in many colours and types, which seems fitting given this is the parent scale for a wide variety of MOSSes; specifically of interest being 7L 1s (pine), 8L 1s (subneutralic) and 9L 1s (sinatonic). Finally, the name "onyx" is also supposed to be vaguely reminiscent of "anti-archaeotonic" as "chi" (the greek letter) is written like an "x" (this is related to why "christmas" is abbreviated sometimes as "X-mas") and other than that, the letters "o" and "n" and their sounds are also present in "archaeotonic", and "x" is vaguely reminiscent of negation and multiplication. There is also something like a "y" sound in "archaeotonic" in the "aeo" part (depending partially on your pronounciation).</blockquote>Monolarge mosses were originally left unnamed due to the tuning ranges for these mosses being so large that they were unhelpful with knowing how they sound. This position was later amended as it's useful for describing structure in situations where one does not want to use the mathematical name, and especially in such contexts, a specific tuning will likely be specified.

 

*1L 8s is named ''agate'', as it rhymes with "eight", depending on one's pronunciation.

 

{| class="wikitable"

|+Relationship between monolarge mosses

| rowspan="6" |''1L 1s''

| rowspan="6" |''monowood (provided for reference)''

|8L 1s

|subneutralic

| colspan="2" rowspan="4" |

|7L 1s

|pine

| colspan="2" rowspan="3" |

| 6L 1s

|archaeotonic

| colspan="2" rowspan="2" |

| 5L 1s

|machinoid

| colspan="2" |

|}

 

 

Originally, the names for 4L 6s and 6L 4s were based on the duplication of the 2L 3s mos and were called ''dipentic'' and ''antidipentic'', respectively. These were changed to their current names as, at the time, the 5-note mosses required an octave period, thus these names required an equivalence interval of 4/1. Although the name ''pentic'' currently refers to a 2L 3s pattern with any size period, the current names were given for completeness, which warranted renaming the related mosses of 2L 4s and 4L 2s to what they are now.

The name ''jaric'' alludes to a few highly notable temperaments that exist in the tuning range of this mos, which is alluded to through the spelling and pronunciation of '''jaric''': [[Pajara|pa'''jar'''a]], [[Injera|in'''jer'''a]], and [[Diaschismic|diaschism'''ic''']]. These temperaments, except for diaschismic, have generally inaccurate tunings.

 

The name ''taric'' was named based on it being the only named-range mos with a basic tuning (L:s = 2:1) of [[18edo]] and, as it and 2L 8s share the same parent of 2L 6s, was made to rhyme with jaric.

 

The name ''subaric'' alludes to the fact that 2L 6s is the largest proper '''sub'''set mos of both j'''aric''' (2L 8s) and t'''aric''' (8L 2s).

 

Originally, the names for 2L 8s and 8L 2s were based on the duplication of the 3L 2s mos and were called called ''antidimanic'' and ''dimanic'', respectively (note that ''manic'' was since changed to ''manual''). These were changed for the same reasons as with 4L 6s and 6L 4s, and similarly warranted renaming the related mosses of 2L 6s and 6L 2s (formerly ''echidnoid'', now ''ekic'').

| rowspan="5" |''2L 2s''

| rowspan="5" | biwood

| rowspan="2" |4L 2s

| rowspan="2" |citric

|

|6L 4s

| rowspan="2" |2L 6s

| rowspan="2" |subaric

''(formerly antiechidnoid)''

''(formerly antidimanic)''

|2L 8s

Mosses of the form ''n''L ''n''s are given names based on a Greek numeral prefix added to the base name ''wood'', in reference to the temperaments [[blackwood]] and [[whitewood]]. These mosses are special in that all mosses with the same number of periods ''n'' can be traced back to an ''n''L ''n''s mos, representing a mos consisting of only its generators and periods. In other words, these mosses are a 1L 1s pattern repeated ''n'' times in one octave. This also means that, coincidentally, all mosses with ''n'' periods form a binary ''tree'' whose ''root'' is ''n''L ''n''s, lending credence to the wood-based name.

 

 

 

This temperament is supported by {{Optimal ET sequence| 5, 6, 11, 12, 16, 17, 22, 23, 27, 28 and 33 }} equal divisions, many of which correspond to both simple tunings (L:s = 2:1, 3:1, 3:2, etc) and degenerate tunings (L:s = 1:1 or 1:0) for 5L 1s. Non-patent val tunings include 5+5=10e, 5+10e+12=21be, 5+5+5+5+6=26qe; these are mentioned here for demonstrating virtual completeness of the tuning range, as is 33edo to show 11edo's strength as a tuning.

 

This temperament is supported by {{Optimal ET sequence| 3, 10, 13, 16, 23 and 26 }} equal divisions, with non-patent val tunings including 6eg, 7e, 19eg, 20e, 29g, 32egq, 33ce, 36c. Like with that of 5L 1s, these represent both simple and degenerate tunings for 3L 7s. Extreme tunings, such as 7e, may lie outside the mos's step ratio spectrum, although such tunings are generally not considered good tunings.

[[Dicot family#Dichotic|Dichotic]] is the 7&amp;10 temperament in the 11-limit with commas including 25/24, 45/44, 55/54, 56/55, 64/63. This is an extension of the 5-limit exotemperament [[dicot]] which tempers 25/24, equating 5/4 and 6/5 into a neutral third sized interval, which is the generator.

 

This temperament is supported by {{Optimal ET sequence| 7, 10 and 17 }} equal divisions, with non-patent val tunings including (but not limited to) 7+7=14cd, 10+10=20e, 17+7=24cd, and 17+10=27ce.

 

 

 

*From the page [[altered pentad]], where ''superdiatonic'' refers to meantone[12], corresponding to 7L 5s:

 

<blockquote>''One drawback of meantone[12] (the so-called '''superdiatonic''' scale) is that it has only two each of the ordinary (5:6:7:8:9) [[otonal]] and [[utonal]] pentads, just as it has only two of each 7-limit [[tetrad]].''</blockquote>

 

 

<blockquote>''For starters, you might want to mess around with what's called "[[porcupine]]" temperament in [[22edo|22-EDO]]. The base diatonic-sized scale is (as steps out of 22-EDO) 4 3 3 3 3 3 3, and you can chromatically alter anything in that scale you want by 1 step out of 22. For instance, if you flat the 7, you get the scale 4 3 3 3 3 2 4, which is nice because it has a 4:5:6:7:9:11 chord in it. There's another "'''superdiatonic'''" scale at 1 3 3 3 3 3 3 3 which you can morph the above into if you want, and a 15-note chromatic scale at 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2; feel free to not stick dogmatically to these exact scales but to change them as you desire.''</blockquote>What 7L 2s and 5L 2s ''do'' share in common is 7L 2s has two extra large steps compared to 5L 2s, and that the addition of more large steps, generalized as (5+2''k'')L 2s, produces mosses with increasingly ''flat'' fifth-like intervals for their generators.

 

Due to these concerns, the name ''armotonic'' is normally advised over ''superdiatonic'' as the former is unambiguous as to what it refers to, and the name ''superdiatonic'' is only allowed in situations where it's truly unambiguous if the writer prefers it.

 

! colspan="5" |5-note mosses

|[[1L 4s]]

|antimanic

|pedal (current)

|August 2022

| Signifies sisterhood with 4L 1s.

|[[2L 3s]]

| colspan="2" |''No change''.

| colspan="2" |''No change''.

|Signifies sisterhood with 1L 4s.

! colspan="5" | 6-note mosses

|-

!Former name(s)

|[[1L 5s]]

|''unnamed''

|antimachinoid (current)

|Inclusion of monolarge names.

|[[2L 4s]]|| antilemon

|malic (current)

|August 2022|| Signifies sisterhood with 4L 2s.

|[[3L 3s]]

| colspan="2" |''No change''.

|[[4L 2s]]||lemon

|citric (current)

| August 2022||Signifies parenthood of 4L 6s and 6L 4s, and sisterhood with 2L 4s. Old name now refers to 6L 4s.

|[[5L 1s]]

| colspan="2" |''No change''.

|

|

! colspan="5" | 7-note mosses

!Pattern !!Former name(s)

|Inclusion of monolarge names, plus ''a lot'' of naming puns.

|[[6L 1s]]

| colspan="2" |''No change''.

! colspan="5" |8-note mosses

!Pattern!!Former name(s)

|[[1L 7s]]

|''unnamed''

|antipine (current)

|August 2022

|Inclusion of monolarge names.

|[[2L 6s]]||antiechinoid

|subaric (current)

|August 2022|| Signifies parenthood of 2L 8s and 8L 2s.

|[[3L 5s]]||sensoid

|checkertonic (current)

|August 2022||Referenced temperament (sensi) was not suitable as an exotemperament.

|[[4L 4s]]||tetrawood; diminished

|tetrawood (current)

|February 2024||The name ''tetrawood'' is advised over ''diminished'', but the latter still sees some use.

|[[5L 3s]]

| colspan="2" |''No change''.

|

|

|[[6L 2s]]||echinoid

| colspan="2" |''No change''.

! colspan="5" |9-note mosses

|[[1L 8s]]

|''unnamed''

|antisubneutralic (current)

|August 2022

|Inclusion of monolarge names.

|[[2L 7s]]||joanatonic

|balzano (current)

|August 2022||Referenced temperament (joan) was not suitable as an exotemperament.

|[[3L 6s]]

|tcherepnin

|tcheretonic

|TBD

|TBD

|[[4L 5s]]||orwelloid

| gramitonic (current)

|August 2022 ||Referenced temperament (orwell) was not suitable as an exotemperament.

|[[5L 4s]]

| colspan="2" |''No change''.

|[[6L 3s]]

| colspan="2" |''No change''.

|

|

| rowspan="2" |[[7L 2s]]||superdiatonic

|armotonic; superdiatonic

| December 2022||The name ''armotonic'' was introduced as an alternate name.

|[[8L 1s]]

| colspan="2" |''No change''.

|

|

! colspan="5" |10-note mosses

!Pattern!!Former name(s)

|[[2L 8s]]||antidimanic

|jaric (current)

|August 2022||New name chosen to be independent of ''manic'', now called ''manual''. Signifies sisterhood with 8L 2s.

|[[3L 7s]]

| colspan="2" |''No change''.

|

|

|[[4L 6s]]||dipentic

| colspan="2" |''No change''.

|[[6L 4s]]||antidipentic

|lemon (current)

|August 2022 ||New name chosen to be independent of ''antipentic''.

|[[7L 3s]]||dicotonic

|dicoid (current)

|August 2022||Altered to signify ''dichotic'' as an exotemperament.

|[[8L 2s]]||dimanic

|taric (current)

|August 2022||New name chosen to be independent of ''manic'', now called ''manual.'' Signifies sisterhood with 2L 8s.

| colspan="2" |''No change''.

! colspan="5" |Mosses with more than 10 notes

|[[4L 7s]]||kleistonic

|''Not part of named range''

| August 2022 || rowspan="2" |Originally named for parity with 3L 7s and 7L 3s, making 4L 7s and 7L 4s "cousin scales" with them.

Dropped when 10-note limit was established.

|[[7L 4s]]|| suprasmitonic

|''Not part of named range''

|[[5L 7s]]|| p-chromatic

|''Not part of named range''

|August 2022

| rowspan="2" |Dropped when 10-note limit was established.

|-

|[[7L 5s]]||m-chromatic

|''Not part of named range''