User:Ganaram inukshuk/TAMNAMS

This page is a work-in-progress, proposed rewrite of the following page: TAMNAMS

TAMNAMS (read "tame names", from Temperament-Agnostic Mos NAMing System; also pronounced /tæmnæms/), devised by the XA Discord in 2021, is a system of temperament-agnostic names for scales – primarily 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

No changes.

Naming mos intervals

No changes.

Naming mos degrees

No changes.

Naming mos modes

Move section to before the names section.

Mos pattern names

This section contains unapproved namechanges. They are provided for reference/completeness.

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, and scale degrees.

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.

TAMNAMS mos names

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. (TODO: change selenite to something else since luna is not an exotemperament)
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.
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.
2L 5s	pelotonic	pel-	pel	From pelog; also called antidiatonic, a common name.
3L 4s	mosh	mosh-	mosh	From "mohajira-ish", a name from 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.
8-note mosses
Pattern	Name	Prefix	Abbr.	Etymology
1L 7s	spinel	spin-	sp	Contains the string "pine", referencing its sister mos; also called antipine.
2L 6s	subaric	subar-	sb	Parent (or subset) mos of 2L 8s and 8L 2s.
3L 5s	checkertonic	check-	chk	From the Kite guitar checkerboard scale.
4L 4s	tetrawood	tetrawd-	ttw	Blackwood[10] and whitewood[14] generalized to 4 periods; also called diminished.
5L 3s	oneirotonic	oneiro-	onei	Originally a name for 13edo's 5L 3s scale; also called oneiro.
6L 2s	ekic	ek-	ek	From echidna and hedgehog temperaments.
7L 1s	pine	pine-	pine	From porcupine temperament.
9-note mosses
Pattern	Name	Prefix	Abbr.	Etymology
1L 8s	agate	ag-	ag	Rhymes with "eight", depending on one's pronunciation; also called antisubneutralic.
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.
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.
8L 1s	subneutralic	blu-	blu	Derived from the generator being between supraminor and neutral quality; blu- is from bleu temperament.
10-note mosses
Pattern	Name	Prefix	Abbr.	Etymology
1L 9s	olivnie	oli-	oli	Rhymes with "nine", depending on one's pronunciation; also called antisinatonic.
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.
5L 5s	pentawood	pentawd-	pw	Blackwood[10] and whitewood[14] generalized to 5 periods.
6L 4s	lemon	lem-	lem	From lemba temperament.
7L 3s	dicoid	dico-	dico	From dichotic and dicot (dicoid) exotemperaments; pronounced /'daɪˌkɔɪd/.
8L 2s	taric	tara-	tar	Sister mos of 2L 8s; based off of Hindi word for 18 (aṭhārah), since 18edo contains basic 8L 2s.
9L 1s	sinatonic	sina-	si	Derived from the generator being within the range of a sinaic.

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.

2-note mosses
Pattern	Name	Prefix	Abbr.	Must be octave-equivalent?	Etymology
1L 1s	trivial	triv-	trv	No	The simplest valid mos pattern.
	monowood	monowd-	w	Yes	Blackwood[10] and whitewood[14] generalized to 1 period.
3-note mosses
Pattern	Name	Prefix	Abbr.	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.
4-note mosses
Pattern	Name	Prefix	Abbr.	Must be octave-equivalent?	Etymology
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.
5-note mosses
Pattern	Name	Prefix	Abbr.	Must be octave-equivalent?	Etymology
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.

Extending the named range to larger mosses

???????

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.

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.

General reasonings

Established names

Notable non-temperament names are incorporated into TAMNAMS if they do not cause confusion, or are given names that reference them. Such names include mosh (from Graham Breed's naming scheme), tcheretonic (in reference to Alexander Tcherepnin's 9-note scale), oneirotonic, balzano, armotonic (in reference to Armodue theory), 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 such names should be abstracted from the original temperaments. Such names include pine, hyrulic, jaric, ekic and lemon; these reference notable temperaments of porcupine, triforce, pajara (along with diaschismic and injera), echidnoid, and lemba, respectively.

Temperament-based names ending in the prefix -oid refer to 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 <section>.

Reasonings for multiperiod mosses

Mosses of the form nL ns 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 nL ns mos, representing a mos consisting of only its generators and periods. This also means that, coincidentally, all mosses with n periods form a binary tree whose root is nL ns, lending credence to the wood-based name.

Multiperiod mosses other than nL ns were originally given composite names that were based on the the repetition of a smaller step pattern.

Multiperiod mosses are given unique names that are not reliant on duplicating the name of a mos from the expanded named range, namely manual, pedal, pentic, and antipentic.

???

(Original text)

Similarly, the inclusion of mosses of the form 1L ns using the "anti-" prefix (or an- for less-than-six-note mosses) was also for a practical consideration; although the tuning range is very unhelpful for knowing what such a mos will sound, it is nonetheless useful for describing structure in situations where one does not want to use the mathematical name, especially given that in such situations the tuning will likely be specified somewhere already. Jaric and taric specifically were chosen over bipedal and bimanual because of this, and to a lesser extent, lemon and lime were chosen over antibipentic and bipentic respectively (and for consistency with that their parent MOSS, 4L2s, is named citric).

Relationship-based reasonings

Reasonings that do not fall under any of the general reasonings are likely to have a relationship-based reasoning, where groups of mosses related by sisterhood or parenthood are given names based on a common theme.

Monolarge mosses

Monolarge mosses (mosses of the form 1L ns) 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 changed as of August 2022, and names have been given since 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.

Originally, onyx (1L 6s) was the only unique name, not based on affixing the anti- prefix to the name of its sister mos (6L 1s, archeotonic). The original reasoning is given verbatim:

"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).

Names for all monolarge mosses within the named range (6-10 steps) were given unique names following in the spirit of onyx:

• 1L 5s is named selenite, as the mineral called selenite is named after the moon. 1L 6s is supported by luna temperament, thus indirectly referencing it.
• 1L 7s is named spinel, as it contains the substring pine, in reference to its sister mos of 7L 1s (pine).
• 1L 8s is named agate, as it rhymes with "eight", depending on one's pronunciation.
• 1L 9s is named olivine, as it rhymes with "nine", depending on one's pronunciation.

Relationship between monolarge mosses

Pattern	Name	. . .	Pattern	Name	Pattern	Name	Pattern	Name	Pattern	Name	Pattern	Name
1L 1s	monowood (provided for reference)	. . .	1L 5s	selenite	1L 6s	onyx	1L 7s	spinel	1L 8s	agate	1L 9s	olivine
											9L 1s	sinatonic
									8L 1s	subneutralic
							7L 1s	pine
					6L 1s	archaeotonic
			5L 1s	machinoid

Malic (2L 4s), citric (4L 2s), lemon (6L 4s), and lime (4L 6s)

The names for 2L 4s and 4L 2s come from Latin malus and citrus, meaning 'apple' and 'citrus', respectively. Apples have concave ends, whereas lemons and limes – both types of citrus fruits – have convex ends. Both are ubiquitous foods, justifying their use for these fairly small mosses.

Additionally, "citric" is the parent mos of 6L 4s and 4L 6s, named after the citrus fruits "lemon" and "lime", respectively, under the reasoning that lemons are larger than limes, as are the step sizes of 6L 4s compared to that of 4L 6s.

Subaric (2L 6s), jaric (2L 8s), and taric (8L 2s)

The name "jaric" alludes to a few highly notable temperaments that exist in the tuning range of this mos. Specifically, the letters and pronunciation of "jaric" are meant to invoke that of pajara, diaschismic and injera. 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 subset mos of both jaric (2L 8s) and taric (8L 2s).

Relationship between 2-period mosses

Pattern	Name	Pattern	Name	Pattern	Name	Pattern	Name
2L 2s	biwood (provided for reference)	4L 2s	citric	4L 6s	lime
				6L 4s	lemon
		2L 4s	malic	6L 2s	ekic
				2L 6s	subaric	8L 2s	taric
						2L 8s	jaric

Reasonings for specific names

Machinoid (5L 1s)

Machine is the 5&6 temperament in the 2.9.7.11 subgroup with a comma list of 64/63 and 99/98.

This temperament is supported by 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.

Sephiroid (3L 7s)

Sephiroth is the 3&10 temperament in the 2.5.11.13.17.21 subgroup with commas including 65/64, 85/84, 105/104, 169/168, 170/169, 221/220, 273/272, 275/273.

This temperament is supported by 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.

Dicoid (7L 3s)

Dichotic is the 7&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 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.

Armotonic (7L 2s)

The name "superdiatonic" has seen some precedent of use on the Xen Wiki to refer to the mos pattern 7L 2s, so is accepted as a possible name, but "armotonic" is preferred due to its clarity as "superdiatonic" could reasonably be confused as describing sharp-fifth diatonic scales. This mos is part of a series of mos patterns (5+2k)L 2s, which starts with diatonic (5L 2s, k=0) and superdiatonic (7L 2s, k=1), hence the reasoning for that name; like 5L 2s, 7L 2s is also a fifth-generated scale and has a structure similar to diatonic in some ways, but with more large steps. Because of the ambiguity, the name "armotonic", in reference to Armodue theory, is TAMNAMS' recommended name, but "superdiatonic" is allowed in contexts where it's truly unambiguous if the writer prefers it.

On the term diatonic

In TAMNAMS, diatonic exclusively refers to 5L 2s. This is because while diatonic has accrued a variety of exact meanings over time, it has a clear choice of referent when talking about MOS scales: 5L 2s with an octave or tempered-octave period.

Name changes and former names

Several names have been changed significantly, as naming principles have evolved to what they are currently, or due to the meaning of certain names being called into question. Former names are provided here for reference. Spelling changes and short-lived names are not included here.

5-note mosses
Pattern	Former name(s)	Changed to	Date of change	Reasoning
1L 4s	antimanic	pedal (current)	August 2022	Signifies sisterhood with 4L 1s.
2L 3s	No change.
3L 2s	No change.
4L 1s	manic	manual (current)	August 2022	Signifies sisterhood with 1L 4s.
6-note mosses
Pattern	Former name(s)	Changed to	Date of change	Reasoning
1L 5s	unnamed	antimachinoid (current)	August 2022	Inclusion of monolarge names.
2L 4s	antilemon	malic (current)	August 2022	Signifies sisterhood with 4L 2s.
3L 3s	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	No change.
7-note mosses
Pattern	Former name(s)	Changed to	Date of change	Reasoning
1L 6s	unnamed	onyx (current)	August 2022	Inclusion of monolarge names, plus a lot of naming puns.
2L 5s	antidiatonic	pelotonic; antidiatonic	TBD	TBD
3L 4s	No change.
4L 3s	No change.
5L 2s	No change.
6L 1s	No change.
8-note mosses
Pattern	Former name(s)	Changed to	Date of change	Reasoning
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	No change.
6L 2s	echinoid	ekic (current)	August 2022	Former name altered.
7L 1s	No change.
9-note mosses
Pattern	Former name(s)	Changed to	Date of change	Reasoning
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	No change.
6L 3s	No change.
7L 2s	superdiatonic	armotonic; superdiatonic	December 2022	The name armotonic is introduced as an alternate name.
	armotonic; superdiatonic	armotonic (current)	February 2024	The name armotonic is advised over superdiatonic, but the latter still sees some use.
8L 1s	No change.
10-note mosses
Pattern	Former name(s)	Changed to	Date of change	Reasoning
1L 9s	unnamed	antisinatonic (current)	August 2022	Inclusion of monolarge names.
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	No change.
4L 6s	dipentic	lime (current)	August 2022	New name chosen to be independent of pentic.
5L 5s	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 dicot 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.
9L 1s	No change.
Mosses with more than 10 notes
Pattern	Former name(s)	Changed to	Date of change	Reasoning
4L 7s	kleistonic	Not part of named range	August 2022	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	August 2022
5L 7s	p-chromatic	Not part of named range	August 2022	Dropped when 10-note limit was established.
7L 5s	m-chromatic	Not part of named range	August 2022