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 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.

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. (Provided for lack of a better name)
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 any 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

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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.

General reasonings

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

Established names

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 and the -oid suffix

Temperament-based names should be used as a last resort, and if used should be based on a notable temperament. Most of these names are abstractions of their original temperament names insofar that they refer to a temperament. 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, with jaric and lemon having additional reasonings of their own.

Temperament-based names ending in the suffix -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 (2:1, 3:1, 3:2, etc) 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 information regarding these temperaments' tunings, 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.

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 – usually related by sisterhood or parenthood, but not always – are given names based on a common theme.

Reasonings for nL ns 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. In other words, these mosses are a 1L 1s pattern repeated n times in one octave. Coincidentally, all mosses with n periods form a binary tree whose root is nL ns (and wood is generally known to come from trees), lending credence to the wood-based name.

Monolarge mosses (if no other gemstone names are adopted)

Monolarge mosses (mosses of the form 1L ns) are given names based on their sister mos (nL 1s), with the anti- prefix added. The exception to this is 1L 6s, given the name onyx for the following reasonings:

"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).

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.

Monolarge mosses (if all gemstone names are adopted)

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), lime (4L 6s), and lemon (6L 4s)

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.

The name citric is given to 4L 2s, as it 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.

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 can currently apply 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 (renamed from antilemon to malic) and 4L 2s (renamed from lemon to citric).

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 8L 2s, which are alluded to through the spelling and pronunciation of jaric: pajara, injera, and diaschismic. 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).

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 (renamed from antiechidnoid to subaric) and 6L 2s (renamed from echidnoid to ekic).

Two-period mosses and name changes

Pattern	Name	Pattern	Name	Pattern	Name	Pattern	Name
2L 2s	biwood (formerly unnamed)	4L 2s	citric (formerly lemon)	4L 6s	lime (formerly dipentic)
				6L 4s	lemon (formerly antidipentic)
		2L 4s	malic (formerly antilemon)	6L 2s	ekic (formerly echidnoid)
				2L 6s	subaric (formerly antiechidnoid)	8L 2s	taric (formerly antidimanic)
						2L 8s	jaric (formerly dimanic)

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)

Originally, the name superdiatonic was used for 7L 2s, as it has seen some precedent of use on the wiki to refer to an octave-equivalent 7L 2s pattern, although it has had earlier use to refer to the expansion of a smaller mos to a larger one:

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

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.

• From the page mohajira, where superdiatonic refers to mohajira[10], corresponding to 7L 3s.
• From the page Composing Powerstart, where superdiatonic is used to refer to porcupine[8], corresponding to 7L 1s:

For starters, you might want to mess around with what's called "porcupine" temperament in 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.

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+2k)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.

On the term diatonic

In TAMNAMS, diatonic exclusively refers to 5L 2s. This is because while the term diatonic has accrued a variety of exact meanings over time, both within and outside the contexts of xenharmonic music theory, 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. 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	Referenced temperament (echidnoid) was not suitable as an exotemperament. Name abstracted.
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 was introduced as an alternate name.
	armotonic; superdiatonic	armotonic (current)	February 2024	The name armotonic is advised over superdiatonic due to risk of ambiguity, 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 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.
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 to establish 10-note limit.
7L 4s	suprasmitonic	Not part of named range	August 2022
5L 7s	p-chromatic	Not part of named range	August 2022	Dropped to establish 10-note limit.
7L 5s	m-chromatic	Not part of named range	August 2022