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This is a subpage for [[TAMNAMS]]-related notes, containing various proposals of varying degrees of usefulness and other useful things. This also contains rewrites of sections of the main TAMNAMS page that aren't quite ready to be deployed.
This is a subpage for [[TAMNAMS]]-related notes, containing various proposals of varying degrees of usefulness and other useful things. This also contains rewrites of sections of the main TAMNAMS page that aren't quite ready to be deployed.
== Ordinal-indexed versus zero-indexed names ==
(Personal notes; may clarify later.)
The use of ordinal indexing for naming mos intervals and degrees is generally discouraged when referring to non-diatonic mos intervals. Ordinal indexing is reserved for describing diatonic interval categories.
== Sandboxed section: Naming mos modes ==
The easiest way to name the modes of a mos, without having to memorize any names, is to refer to them by their [[Modal UDP notation|UDP]], which refers to how many generators are stacked above and below the tonic to produce a mode of the mos.
This section's running example is 5L 3s, whose brightest mode is LLsLLsLs.
=== Simplified UDP notation ===
Normal UDP notation is summarized below:
* For single-period mosses, the UDP is notated as ''u''|''d'', where ''u'' is the number of bright generators stacked ''above'' the tonic, ''d'' is the number of bright generators stacked ''below'' the tonic, and "|" is pronounced as "pipe". The full name of a mos's mode is '''xL ys u|d'''.
* For multi-period mosses with ''p'' periods, the UDP of is notated as ''up''|''dp''(''p''). Since there are generators being stacked above and below every period - not just the tonic - there are in total ''u times p'' and ''d times p'' generators being stacked above and below their respective starting pitches. The full name in this case is '''xL ys up|dp(p)'''.
To make notation easier, TAMNAMS makes the following modifications to UDP notation:
* The UDP for the mode of a multi-period mosses may be written as ''u|d''(''p'') rather than ''up|dp''(''p''). This is because the period already appears in both the quantity of bright (''u times p'') and dark (''d times p'') generators, so omitting the ''p'' term makes the notation less redundant. In contexts where it doesn't cause confusion, the notation can be simplified further to ''u|d.''
* The UDP for a mode, single-period or multi-period, may be shortened to "u|" under the reasoning that omitting the ''d'' term, which can be inferred by the ''u'' term, makes the notation less redundant. For example, "5L 3s 5|", which refers to LsLLsLLs, is read as "5 ell 3 ess 5 pipe".
** The shortened notation of "u|" is sufficient in most cases, but in situations where it makes more sense to think in terms of the dark generator, such as with a mos whose dark generator is the bright generator of a related mos, the notation is instead "|d".
This simplified notation will be used throughout this section, unless otherwise specified. In any case, the name of a mos can be substituted for its xL ys form.
=== Finding mos modes ===
Rotating the sequence of steps - that is, moving the step at the beginning to the end - produces a different mode. This can be repeated until the initial mode that was started with is produced.
This rotation process usually returns the modes in rotational order, not by brightness. To get the modes in order by brightness, produce every interval for each mode - starting at the mosunison and ending at the mosoctave - producing an [[interval matrix]]. The brightest mode will be the mode that has all of its intervals - excluding the mosunison, mosoctave, and mosperiods if multi-period - in its large size. The 2nd-brightest mode will have one interval in its small size - for multi-period mosses, one interval is in its small size for every instance of the mosperiod - and so on. The darkest mode will have all of its intervals in its small size. A much faster way to do this process is to skip making an interval matrix and sort the modes produced by rotation in alphabetical order, effectively sorting all modes by decreasing brightness. In either case, the UDP for the modes sorted by brightness are (n-1)|0, (n-2)|1, and so on to 0|(n-1), or (n-1)|, (n-2)| to 0|. The table below shows the modes produced rotationally, and can be sorted by UDP.
{| class="wikitable sortable"
|+Modes of 5L 3s, with interval sizes
!Mode
!Rotational order
!Simplified UDP
!mosunison
!1-mosstep
!2-mosstep
!3-mosstep
!4-mosstep
!5-mosstep
!6-mosstep
!7-mosstep
!mosoctave
|-
|LLsLLsLs
|0
|<nowiki>7|</nowiki>
|0 (perfect)
|L (major)
|2L (major)
|2L+s (perfect)
|3L+s (major)
|4L+s (augmented)
|4L+2s (major)
|5L+2s (major)
|5L+3s (perfect)
|-
|LsLLsLsL
|1
|<nowiki>4|</nowiki>
|0 (perfect)
|L (major)
|L+s (minor)
|2L+s (perfect)
|3L+s (major)
|3L+2s (perfect)
|4L+2s (major)
|4L+3s (minor)
|5L+3s (perfect)
|-
|sLLsLsLL
|2
|<nowiki>1|</nowiki>
|0 (perfect)
|s (minor)
|L+s (minor)
|2L+s (perfect)
|2L+2s (minor)
|3L+2s (perfect)
|3L+3s (minor)
|4L+3s (minor)
|5L+3s (perfect)
|-
|LLsLsLLs
|3
|<nowiki>6|</nowiki>
|0 (perfect)
|L (major)
|2L (major)
|2L+s (perfect)
|3L+s (major)
|3L+2s (perfect)
|4L+2s (major)
|5L+2s (major)
|5L+3s (perfect)
|-
|LsLsLLsL
|4
|<nowiki>3|</nowiki>
|0 (perfect)
|L (major)
|L+s (minor)
|2L+s (perfect)
|2L+2s (minor)
|3L+2s (perfect)
|4L+2s (major)
|4L+3s (minor)
|5L+3s (perfect)
|-
|sLsLLsLL
|5
|<nowiki>0|</nowiki>
|0 (perfect)
|s (minor)
|L+s (minor)
|L+2s (diminished)
|2L+2s (minor)
|3L+2s (perfect)
|3L+3s (minor)
|4L+3s (minor)
|5L+3s (perfect)
|-
|LsLLsLLs
|6
|<nowiki>5|</nowiki>
|0 (perfect)
|L (major)
|L+s (minor)
|2L+s (perfect)
|3L+s (major)
|3L+2s (perfect)
|4L+2s (major)
|5L+2s (major)
|5L+3s (perfect)
|-
|sLLsLLsL
|7
|<nowiki>2|</nowiki>
|0 (perfect)
|s (minor)
|L+s (minor)
|2L+s (perfect)
|2L+2s (minor)
|3L+2s (perfect)
|4L+2s (major)
|4L+3s (minor)
|5L+3s (perfect)
|}
Since multi-period mosses repeats every period rather than at every octave, the number of modes corresponds to the number of pitches in the period. As a result, multi-period mosses always have fewer modes. An example is shown for 3L 6s, with modified UDPs as described in the previous section.
{| class="wikitable sortable"
|+Modes of 3L 6s, with interval sizes
!Mode
!Mode name
!Simplified UDP
!Rotational order
!mosunison
!1-mosstep
!2-mosstep
!3-mosstep
!4-mosstep
!5-mosstep
!6-mosstep
!7-mosstep
!8-mosstep
!mosoctave
|-
|LssLssLss
|<nowiki>3L 6s 2|</nowiki>
|<nowiki>2|</nowiki>
|0
|0 (perfect)
|L (augmented)
|L+s (perfect)
|L+2s (perfect)
|2L+2s (augmented)
|2L+3s (perfect)
|2L+4s (perfect)
|3L+4s (augmented)
|3L+5s (perfect)
|3L+6s (perfect)
|-
|sLssLssLs
|<nowiki>3L 6s 1|</nowiki>
|<nowiki>1|</nowiki>
|2
|0 (perfect)
|s (perfect)
|L+s (perfect)
|L+2s (perfect)
|L+3s (perfect)
|2L+3s (perfect)
|2L+4s (perfect)
|2L+5s (perfect)
|3L+5s (perfect)
|3L+6s (perfect)
|-
|ssLssLssL
|<nowiki>3L 6s 0|</nowiki>
|<nowiki>0|</nowiki>
|1
|0 (perfect)
|s (perfect)
|2s (diminished)
|L+2s (perfect)
|L+3s (perfect)
|L+4s (diminished)
|2L+4s (perfect)
|2L+5s (perfect)
|2L+6s (diminished)
|3L+6s (perfect)
|}
==== Alterations to a mode ====
Alterations to a mode are denoted by listing what 0-indexed mosdegrees are altered by one or more moschromas, using accidentals whose meaning and notation is made clear. As a diatonic example, mixolydian b6 can be written as 5L 2s 5| b6 (where the 6th degree is is a ordinal-indexed 6th, not a 0-indexed mosdegree), but for a non-diatonic example, mode 5| of 5L 3s with a 4-mosdegree lowered by a chroma is written as "5L 3s 5| @4d" (read as "5L 3s 5 pipe at-4-degree", where the "at/@" accidental is from [[diamond-mos notation]]).
=== Named mos modes ===
Many people, or groups of people, who have described individual mosses have independently came up with names for the mos's modes. The mosses listed below have named mos modes on their respective pages. (todo: add links)
* 5-note mosses: 4L 1s
* 7-note mosses: 1L 6s, 2L 5s, 3L 4s, 4L 3s, 5L 2s, and 6L 1s
* 8-note mosses: 3L 5s, 5L 3s, and 7L 1s
* 9-note mosses: 5L 4s and 7L 2s
* 10-note mosses: 3L 7s
For mossess that no such mode names but a less mathematical name is desired, [[genchain mode numbering]] may be used, producing 1st xL ys, 2nd xL ys, and so on.


== Sandboxed rewrite: Naming mos intervals and mos degrees ==
== Sandboxed rewrite: Naming mos intervals and mos degrees ==
Already deployed on main TAMNAMS page: [[TAMNAMS#Naming mos intervals]]
Already deployed on main TAMNAMS page: [[TAMNAMS#Naming mos intervals]]


== Other sandboxed rewrites ==
=== Complements of intervals ===
The ''octave complement'' (or ''equave complement'' for mosses that don't have an octave equivalence interval, or simply ''complement'') of a mos interval follows the same logic as the [[octave complement]] in regular music theory: in general, for a mos with n pitches, a k-mosstep in its large form has a complement of an (n-k)-mosstep in its small form, and the two intervals are complements of one another. Alternatively, if a specific mos interval is thought of as a quantity of large and small steps, then its complement is the number of steps needed to produce the mos pattern of xL ys itself. Additionally, if a mos interval is also altered by raising it by some number of chromas, its complement will be lowered by the same number of chromas, and vice-versa.
{| class="wikitable"
|+Interval complements of 3L 4s
! colspan="2" |Interval
! colspan="2" |Complement
|-
!Name
!Size
!Name
!Size
|-
|Perfect 0-mosstep (unison)
|'''0'''
|Perfect 7-mosstep (octave)
|'''3L+4s'''
|-
|Major 1-mosstep
|'''L'''
|Minor 6-mosstep
|'''2L+4s'''
|-
|Perfect 2-mosstep
|'''L+s'''
|Diminished 5-mosstep
|'''2L+3s'''
|-
|Major 3-mosstep
|'''2L+s'''
|Minor 4-mosstep
|'''1L+3s'''
|-
|Major 4-mosstep
|'''2L+2s'''
|Minor 3-mosstep
|'''1L+2s'''
|-
|Augmented 5-mosstep
|'''3L+2s'''
|Perfect 2-mosstep
|'''2s'''
|-
|Major 6-mosstep
|'''3L+3s'''
|Minor 1-mosstep
|'''s'''
|-
|Perfect 7-mosstep (octave)
|'''3L+4s'''
|Perfect 0-mosstep (unison)
|'''0'''
|}
 
== Sandboxed rewrite: Mos pattern names ==


=== Reasoning for names ===
=== Reasoning for names ===
Line 60: Line 339:
|-
|-
| rowspan="15" |1:1 to 1:0
| rowspan="15" |1:1 to 1:0
| rowspan="7" |1:1 to 2:1
| rowspan="7" |1:1 to 2:1 ''(general soft range)''
| rowspan="3" |1:1 to 3:2
| rowspan="3" |1:1 to 3:2
|1:1 to 4:3 (ultrasoft)
|1:1 to 4:3 (ultrasoft)
Line 98: Line 377:
|Also called quintessential
|Also called quintessential
|-
|-
| rowspan="7" |2:1 to 1:0
| rowspan="7" |2:1 to 1:0 ''(general hard range)''
| rowspan="3" |2:1 to 3:1 (hypohard)
| rowspan="3" |2:1 to 3:1 (hypohard)
|2:1 to 5:2 (minihard)
|2:1 to 5:2 (minihard)
Line 156: Line 435:
|-
|-
| rowspan="21" |1:1 to 1:0
| rowspan="21" |1:1 to 1:0
| rowspan="9" |1:1 to 2:1
| rowspan="9" |1:1 to 2:1 ''(general soft range)''
| rowspan="5" |1:1 to 3:2
| rowspan="5" |1:1 to 3:2
| rowspan="3" |1:1 to 4:3 (ultrasoft)
| rowspan="3" |1:1 to 4:3 (ultrasoft)
Line 204: Line 483:
|'''2:1 (basic)'''
|'''2:1 (basic)'''
|-
|-
| rowspan="11" |2:1 to 1:0
| rowspan="11" |2:1 to 1:0 ''(general hard range)''
| rowspan="3" |2:1 to 3:1 (hypohard)
| rowspan="3" |2:1 to 3:1 (hypohard)
|2:1 to 5:2 (minihard)
|2:1 to 5:2 (minihard)
Line 682: Line 961:


== Proposal: Naming mosses with more than 10 steps (work-in-progress) ==
== Proposal: Naming mosses with more than 10 steps (work-in-progress) ==
This is a system for describing scales beyond the set of named TAMNAMS scales. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems, with the main difference here being that mosses are technically not limited to being only three generations away.
See: [[User:Ganaram inukshuk/TAMNAMS Extension]]
== Changes to mos names ==


=== Naming mosdescendants up to 3 generations ===
===Which mosses are worth naming?===
Although naming scales beyond the current cap of 10 notes is antithetical to the purpose of TAMNAMS, names for mosses greater than 10 notes can be made systematically using existing names. The rules are described as such:
Updates to TAMNAMS around 2022 have imposed a maximum step count of 10. I'm arguing there should be a minimum note count 6 for the following reasons:


* If the scale is the child of a named parent scale, then the scale is '''moschromatic'''.
*Mosses with step counts less than 6 have generator ranges so broad that they encompass multiple temperaments and can be expanded to multiple mosses.
* If the scale is the grandchild of a named parent scale, then the scale is '''mosenharmonic.'''
*Mosses 1L 1s, 1L 2s, and 2L 1s have extremely broad generator ranges that it may be difficult to generalize anything about them, let alone compose with them.
* If the scale is the great-grandchild of a named parent scale, then the scale is '''mosschismic'''. (tentative name; [[Schismatic family|schismic]] refers to a family of temperaments; open to better name suggestions)
*The parents of most of the mosses with note counts 6-10 are mosses with 4-5 notes, so to denote these mosses, it may be better to think of these parents as subsets of those larger mosses instead. When people compose with 2L 3s, for example, they don't invent entirely new notation for that; instead, they use notation for 5L 2s and skip two of the notes.
* If the scale is more than 3 generations from a named parent scale, or if referring to a scale regardless of number of generations from the parent, then the scale is a '''mosdescendant''' scale.
**1L 3s, parent of 1L 5s and 5L 1s
**3L 1s, parent of 3L 4s and 4L 3s
**1L 5s, parent of 1L 6s and 6L 1s
** 2L 3s, parent of 2L 5s and 5L 2s
**3L 2s, parent of 3L 5s and 5L 3s
**4L 1s, parent of 4L 5s and 5L 4s
*The names for these small mosses differ from the other mos names in that they're meant to be equave-agnostic. It's not that these names would go away; rather, they'd be going somewhere else. (Where is not known at the moment.)
**The mos module doesn't even include these names, apart from monowood and biwood.


For describing the scales of a named mos, the prefix of mos- is removed and replaced with the mos's prefix instead. For example, the child, grandchild, and great-grandchild scales for the mos 5L 3s (oneirotonic, prefix oneiro-) are oneirochromatic, oneiroenharmonic, and oneiroschismic respectively, and the entire family of mosses related to oneirotonic are oneirodescendants.
===Proposed style guide===
The following is a proposed guide for naming mosses, based on patterns gleamed from existing mosses. There are also exceptions to these rules.


Additionally, the lack of a prefix will specifically describe the descendant scales of 5L 2s: chromatic, enharmonic, and schismic. Descendants of 5L 2s are referred to as "diatonic descendants" rather than "descendants".
#Names for single-period mosses with 5 or fewer notes are the most general names, not limited to an equivalence interval of an octave, and end with -ic or -al. These should be the only mosses that contain the anti- prefix, shortened to an-.
##Monowood is an exception in that it does not end with -ic or -al.
# Names for single-period mosses not of the form 1L ns end with -tonic, suggesting that these are octave-specific and reference a specific interval, or a notable pre-TAMNAMS or other temperament-agnostic name.
##Temperament-based names may be justified if it applies to a mos with a sufficiently narrow generator range, or if no other naming options are available. Such names should end with -oid.
##Mosh, semiquartal, balzano, and pine are exceptions to this rule.
#Single-period mosses of the form 1L ns with 6 or more notes are named after minerals and gemstones.
## This requires renaming existing mosses, namely antimachinoid, antipine, antisubneutralic, and antisinatonic.
# Multi-period mos names should bear the -ic suffix.
##All of the wood mosses are exceptions to this rule, as are lemon, lime, and tcherepnin.
# With the exception of mosses named under rule 1, mosses should avoid having additional prefixes if possible, such as anti-, sub-, or super-, and mosses should avoid sharing the same word stem unless the mosses in question are related in some way.
##Sets of mosses that share a relationship with one another include the following: subaric, jaric, and taric; monowood, biwood, triwood, tetrawood, pentawood; antidiatonic and diatonic (in that they're sister mosses)


Single-letter prefixes for these names are optional, as the single-letter prefixes are meant for specificity. With no prefix specified, moschromatic refers to one of two child scales, mosenharmonic refers to one of four grandchild scales, and mosschismic refers to one of eight great-grandchild scales. The table below shows those prefixes and the mosdescendants for which they apply, as well as the step ratio of the parent mos needed to reach these scales.
===Changes to existing names===
{| class="wikitable"
This section describes changes to existing [[TAMNAMS]] names that I would make, given the proposal described in the previous section and the following reasons:
|+Mosdescendant scales sorted by step ratio
! colspan="3" |Parent scale
! colspan="4" |Moschromatic (child) scales
! colspan="4" |Mosenharmonic (grandchild) scales
! colspan="4" |Mosschismic (great-grandchild) scales
|-
! rowspan="2" |Steps
! colspan="2" |Step ratio
! rowspan="2" |Steps
! rowspan="2" |Specific name
! colspan="2" |Step ratio of parent
! rowspan="2" |Steps
! rowspan="2" |Specific name
! colspan="2" |Step ratio of grandparent
! rowspan="2" |Steps
! rowspan="2" |Specific name
! colspan="2" |Step ratio of great-grandparent
|-
!General range
!Step ratio for 2:1
!General range
!For L:s = 2:1
!General range
!For L:s = 2:1
!General range
!For L:s = 2:1
|-
| rowspan="8" |xL ys
| rowspan="8" |1:1 to 1:0
| rowspan="8" |2:1 (basic)
| rowspan="4" |(x+y)L xs
| rowspan="4" |m-moschromatic
| rowspan="4" |1:1 to 2:1
| rowspan="4" |3:2 (soft)
| rowspan="2" |(x+y)L (2x+y)s
| rowspan="2" |f-mosenharmonic
| rowspan="2" |1:1 to 3:2
| rowspan="2" |4:3 (supersoft)
|(x+y)L (3x+2y)s
|f-mosschismic
|1:1 to 4:3 (ultrasoft)
|5:4
|-
|(3x+2y)L (x+y)s
|a-mosschismic
|4:3 to 3:2 (parasoft)
|7:5
|-
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |m-mosenharmonic
| rowspan="2" |3:2 to 2:1 (hyposoft)
| rowspan="2" |5:3 (semisoft)
|(3x+2y)L (2x+y)s
|u-mosschismic
|3:2 to 5:3 (quasisoft)
|8:5
|-
|(2x+y)L (3x+2y)s
|m-mosschismic
|5:3 to 2:1 (minisoft)
|7:4
|-
| rowspan="4" |xL (x+y)s
| rowspan="4" |p-moschromatic
| rowspan="4" |2:1 to 1:0
| rowspan="4" |3:1 (hard)
| rowspan="2" |(2x+y)L xs
| rowspan="2" |p-mosenharmonic
| rowspan="2" |2:1 to 3:1 (hypohard)
| rowspan="2" |5:2 (semihard)
|(2x+y)L (3x+y)s
|p-mosschismic
|2:1 to 5:2 (minihard)
|7:3
|-
|(3x+y)L (2x+y)s
|q-mosschismic
|5:2 to 3:1 (quasihard)
|8:3
|-
| rowspan="2" |xL (2x+y)s
| rowspan="2" |s-mosenharmonic
| rowspan="2" |3:1 to 1:0
| rowspan="2" |4:1 (superhard)
|(3x+y)L xs
|r-mosschismic
|3:1 to 4:1 (parahard)
|7:2
|-
|xL (3x+y)s
|s-mosschismic
|4:1 to 1:0 (ultrahard)
|5:1
|}
{| class="wikitable"
|+Simplified table, without step ratios, sorted by position on mos family tree
!Parent scale
! colspan="2" |Moschromatic scales
! colspan="2" |Mosenharmonic scales
! colspan="2" |Mosschismic scales
|-
!Steps
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
|-
| rowspan="8" |xL ys
| rowspan="4" |xL (x+y)s
| rowspan="4" |p-moschromatic
| rowspan="2" |xL (2x+y)s
| rowspan="2" |s-mosenharmonic
|xL (3x+y)s
|s-mosschismic
|-
|(3x+y)L xs
|r-mosschismic
|-
| rowspan="2" |(2x+y)L xs
| rowspan="2" |p-mosenharmonic
|(2x+y)L (3x+y)s
|p-mosschismic
|-
|(3x+y)L (2x+y)s
|q-mosschismic
|-
| rowspan="4" |(x+y)L xs
| rowspan="4" |m-moschromatic
| rowspan="2" |(x+y)L (2x+y)s
| rowspan="2" |f-mosenharmonic
|(x+y)L (3x+2y)s
|f-mosschismic
|-
|(3x+2y)L (x+y)s
|a-mosschismic
|-
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |m-mosenharmonic
|(2x+y)L (3x+2y)s
|m-mosschismic
|-
|(3x+2y)L (2x+y)s
|u-mosschismic
|}


=== Mosdescendants for single-period mosses ===
*Some names are still based on a temperament (mainly the -oid names), so those are either replaced with a new name or at least altered so the references are more indirect.
Although it's possible for any mos to have mosdescendants named as described above, it's recommended that mosdescendant scale names should apply to mosses whose immediate child mosses exceed 10 steps. The following tables show which mosses, marked in '''bold''', mosdescendant names can apply.
*There were Discord users with whom I shared a similar sentiment regarding the names of certain scales, mainly the mosses with the anti- prefix and the scales antidiatonic and superdiatonic.
{| class="wikitable"
*Some names are too long (in my opinion).
|+Single-period mosses for which mosdescendant names apply
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
|-
| rowspan="16" |1L 1s
| rowspan="16" |trivial
| rowspan="11" |1L 2s
| rowspan="11" |antrial
| rowspan="8" |1L 3s
| rowspan="8" |antetric
| rowspan="6" |1L 4s
| rowspan="6" |pedal
| rowspan="5" |1L 5s
| rowspan="5" |antimachinoid
| rowspan="4" |1L 6s
| rowspan="4" |onyx
| rowspan="3" |1L 7s
| rowspan="3" |antipine
| rowspan="2" |1L 8s
| rowspan="2" |antisubneutralic
|1L 9s
|'''antisinatonic (asina-)'''
|-
|9L 1s
|'''sinatonic (sina-)'''
|-
|8L 1s
|'''subneutralic (blu-)'''
| colspan="2" rowspan="14" |
|-
|7L 1s
|'''pine (pine-)'''
| colspan="2" rowspan="13" |
|-
|6L 1s
|'''arch(a)eotonic (arch-)'''
| colspan="2" rowspan="12" |
|-
|5L 1s
|'''machinoid (mech-)'''
| colspan="2" rowspan="11" |
|-
| rowspan="2" |4L 1s
| rowspan="2" |manual
|5L 4s
|'''semiquartal (chton-)'''
|-
|4L 5s
|'''gramitonic (gram-)'''
|-
| rowspan="3" |3L 1s
| rowspan="3" |tetric
|4L 3s
|'''smitonic (smi-)'''
| colspan="2" |
|-
| rowspan="2" |3L 4s
| rowspan="2" |mosh
|7L 3s
|'''dicoid/zaltertic (dico-/zal-)'''
|-
|3L 7s
|'''sephiroid (seph-)'''
|-
| rowspan="5" |2L 1s
| rowspan="5" |trial
| rowspan="2" |3L 2s
| rowspan="2" |antipentic
|3L 5s
|'''checkertonic (check-)'''
| colspan="2" rowspan="3" |
|-
|5L 3s
|'''oneirotonic (oneiro-)'''
|-
| rowspan="3" |2L 3s
| rowspan="3" |pentic
|5L 2s
|'''diatonic ''(no prefix)'''''
|-
| rowspan="2" |2L 5s
| rowspan="2" |antidiatonic
|7L 2s
|'''superdiatonic (arm-)'''
|-
|2L 7s
|'''balzano (bal-)'''
|}


=== Mosdescendants for multi-period mosses ===
The choice of names are not perfect and some may have issues. Some name suggestions went through different versions. This section is meant to start a discussion on alternate names should a need come up for it. Some of these suggestions may be outdated as TAMNAMS names change, rendering such suggestions unnecessary; notes regarding such changes are in '''bold'''.
TAMNAMS has names for 2-period mosses up to 10 notes, and as such, mosdescendant names apply to mosses whose children have more than 10 notes: '''jaric''', '''taric''', '''ekic''', '''lemon''', and '''lime'''. Likewise, there are 3-period scales up to 9 notes, so mosdescendant names apply to '''tcherepnin''' and '''hyrulic''', the only 3-period mosses named under TAMNAMS, apart from triwood.
{| class="wikitable"
{| class="wikitable"
|+2 and 3-period mosses for which mosdescendant names apply
|+
! colspan="8" |2-period mosses
Table of proposed name changes
! colspan="9" |Proposals for octave-specific mosses currently referred to by equave-agnostic names
|-
|-
!Mos
! rowspan="2" |Mos
!Name
! colspan="3" |Current name
!Mos
! colspan="3" |Suggested name(s)
!Name
! rowspan="2" |Reasoning
!Mos
! rowspan="2" |Possible issues and other notes
!Name
!Mos
!Name
|-
| rowspan="5" |[[2L 2s]]
| rowspan="5" |biwood
| rowspan="3" |[[2L 4s]]
| rowspan="3" |malic
| rowspan="2" |[[2L 6s]]
| rowspan="2" |subaric
|[[2L 8s]]
|'''jaric (jara-)'''
|-
|[[8L 2s]]
|'''taric (tara-)'''
|-
|[[6L 2s]]
|'''ekic (ek-)'''
| colspan="2" rowspan="3" |
|-
| rowspan="2" |[[4L 2s]]
| rowspan="2" |citric
|[[6L 4s]]
|'''lemon (lem-)'''
|-
|[[4L 6s]]
|'''lime (lime-)'''
|-
! colspan="8" |3-period mosses
|-
|-
!Mos
!Name
!Name
!Mos
!Prefix
!Abbrev.
!Name
!Name
| colspan="4" rowspan="3" |
!Prefix
!Abbrev.
|-
|-
| rowspan="2" |[[3L 3s]]
|1L 3s
| rowspan="2" |triwood
|antetric
|[[3L 6s]]
|'''tcherepnin (cher-)'''
|-
|[[6L 3s]]
|'''hyrulic (hyru-)'''
|}
Starting at 4 periods, mosdescendant names apply only to n-wood scales (tetrawood, pentawood, etc), where the names of mosdescendants are based on names for single-period mosses up to 5 notes rather than based on moschromatic, mosenharmonic, and mosschismic, and thereby limited to mosdescendants with 5n notes; any descendants after that are referred as to '''n-wood descendants'''.
 
Since the names for single-period mosses up to 5 notes may also be used for non-octave periods, these names are used for multi-period mosses, producing '''n-antrial''', '''n-trial''', '''n-antetric''', '''n-tetric''', '''n-antipentic''', '''n-pentic''', '''n-pedal''', and '''n-manual'''. Note that there are only two named 3rd-generation mosses from nL ns rather than the usual eight; the missing six names (what would be n-smitonic, n-mosh, n-checkertonic, n-oneiorotonic, n-diatonic, and n-antidiatonic) are unsuitable for use for multi-period mos names as these names must refer to an octave period.
 
The table outlines possible names for n-wood descendants for tetrawood, pentawood, and, in the general case, n-wood. Numeric prefixes may be used for these names, rather than n-.
{| class="wikitable"
|+Possible mosdescendant names for mosses with 4 periods or more
|-
! colspan="9" |4-period mosses
|-
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Other notes
|-
| rowspan="5" |[[4L 4s]]
| rowspan="5" |'''tetrawood'''
| rowspan="3" |[[4L 8s]]
| rowspan="3" |quadantrial
| rowspan="2" |[[4L 12s]]
| rowspan="2" |quadantetric
|[[4L 16s]]
|tetrapedal
| rowspan="5" |Some names have Latin prefixes for ease of spelling.
|-
|[[16L 4s]]
|tetramanual
|-
|[[12L 4s]]
|quadtetric
| colspan="2" rowspan="3" |
|-
| rowspan="2" |[[8L 4s]]
| rowspan="2" |quadtrial
|[[12L 8s]]
|tetrantipentic
|-
|[[8L 12s]]
|tetrapentic
|-
! colspan="9" |5-period mosses
|-
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Other notes
|-
| rowspan="5" |[[5L 5s]]
| rowspan="5" |'''pentawood'''
| rowspan="3" |[[5L 10s]]
| rowspan="3" |quinantrial
| rowspan="2" |[[5L 15s]]
| rowspan="2" |quinantetric
|[[5L 20s]]
|pentapedal
| rowspan="5" |Some names have Latin prefixes for ease of spelling.
|-
|[[20L 5s]]
|pentamanual
|-
|[[15L 5s]]
|quintetric
| colspan="2" rowspan="3" |
|-
| rowspan="2" |[[10L 5s]]
| rowspan="2" |quintrial
|[[15L 10s]]
|quinantipentic
|-
|[[10L 15s]]
|quinpentic
|-
! colspan="9" |n-period mosses
|-
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Other notes
|-
| rowspan="5" |nL ns
| rowspan="5" |'''n-wood'''
| rowspan="3" |nL 2ns
| rowspan="3" |n-antrial
| rowspan="2" |nL 3ns
| rowspan="2" |n-antetric
|nL 4ns
|n-pedal
| rowspan="5" |A numeric prefix may be used instead, such as hexawood instead of 6-wood.
When in doubt, prefix names for n-period mosses with n-.
|-
|4nL ns
|n-manual
|-
|3nL ns
|n-tetric
| colspan="2" rowspan="3" |
|-
| rowspan="2" |2nL ns
| rowspan="2" |n-trial
|3nL 2ns
|n-anpentic
|-
|2nL 3ns
|n-pentic
|}
 
=== Naming mosdescendants beyond 3 generations ===
Each generation has twice as many mosdescendants as the last, so rather than try to name every possible descendant, mosdescendants more than 3 generations from a given parent mos may be referred to how many generations away it is. Mosschismic scales are 3rd mosdescendants, so after that are 4th-mosdescendants, 5th-mosdescendants, and so on. The algorithms below shows how to find how many generations away a mos xL ys is from another scale.
 
* For mosses with up to 3 periods: finding a parent mos zL ws for the mosdescendant xL ys, where x, y, z, and w share a greatest common factor that is no greater than 3:
*# 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 g = 0, where g 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 g by 1.
*# If the sum of z and w is no more than 10, then the parent mos is zL ws and has a TAMNAMS name. If not, repeat the process starting at step 2.
* For mosses with 4 periods or more: finding how many generations away a mosdescendant xL ys is from its n-wood scale, where x and y have a greatest common factor of n that is 4 or greater:
*# Let z and w be assigned the values x and y respectively. Let g = 0, where g is the number of generations away from nL ns.
*# 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 g by 1.
*# If the sum of z and w is exactly 2n, then the mos nL ns is g generations away from xL ys. If not, repeat the process starting at step 2.
 
=== Naming mosdescendants for linearly growing scales (work-in-progress) ===
Some noteworthy mosdescendants may be more than 3 generations away, but may have the same number of large steps as a named parent mos. In such cases, the number of notes with each successive mosdescendant grows linearly, and these mosses may be assigned a letter to refer to a specific mosdescendant. Currently, this applies to mosdescendants whose parent mos has a step ratio that is along the extreme edges of the step ratio spectrum, around pseudoequalized and pseudocollapsed, producing '''nth s-mosdescendants''' and '''nth f-mosdescendants'''. The mos family tree better shows which mosses grow linearly, shown in bold, as the upper child of each node is always xL (x+y)s, which becomes of xL (nx+y)s over n generations.
{| class="wikitable"
|+Mosdescendants sorted by position on the mos family tree
!Parent scale
! colspan="2" |Moschromatic scales
(1st mosdescendants)
! colspan="2" |Mosenharmonic scales
(2nd mosdescendants)
! colspan="2" |Mosschismic scales
(3rd mosdescendants)
! colspan="2" |4th-mosdescendant scales
(selected mosdescendants)
! colspan="2" |5th-mosdescendant scales
(selected mosdescendants)
! colspan="2" |nth-mosdescendant scales
(selected mosdescendants)
|-
!Steps
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
|-
| rowspan="8" |xL ys
| rowspan="4" |'''xL (x+y)s'''
| rowspan="4" |'''p-moschromatic'''
| rowspan="2" |'''xL (2x+y)s'''
| rowspan="2" |'''s-mosenharmonic'''
|'''xL (3x+y)s'''
|'''s-mosschismic'''
|'''xL (4x+y)s'''
|'''4th s-mosdescendant'''
|'''xL (5x+y)s'''
|'''5th s-mosdescendant'''
|'''xL (nx+y)s'''
|'''nth s-mosdescendant'''
|-
|(3x+y)L xs
|r-mosschismic
|
|
|
|
|
Line 1,197: Line 1,027:
|
|
|
|
| rowspan="6" |The names in this category are not replacements, but octave-specific proposals.
Names for these mosses are based on the base terms "pentoid" and "tetroid" and have appropriate prefixes added. Specifically:
* For diapentoid, the prefix dia- is chosen, as it refers to both diatonic and, indirectly, antidiatonic.
* For mechpentoid, the prefix mech- is chosen for the same reason as dia-.
* For smotetroid, the prefix smo- is chosen as it combines the prefixes of mosh- and smi-.
| rowspan="6" |
|-
|-
| rowspan="2" |(2x+y)L xs
|3L 1s
| rowspan="2" |p-mosenharmonic
|tetric
|(2x+y)L (3x+y)s
|p-mosschismic
|(2x+y)L (5x+2y)s
|4th p-mosdescendant
|(2x+y)L (7x+3y)s
|5th p-mosdescendant
|
|
|-
|(3x+y)L (2x+y)s
|q-mosschismic
|
|
|
|
|
|
|smotetroid
|
|
|
|
|-
|-
| rowspan="4" |(x+y)L xs
|1L 4s
| rowspan="4" |m-moschromatic
|pedal
| rowspan="2" |'''(x+y)L (2x+y)s'''
| rowspan="2" |'''f-mosenharmonic'''
|'''(x+y)L (3x+2y)s'''
|'''f-mosschismic'''
|'''(x+y)L (4x+3y)s'''
|'''4th f-mosdescendant'''
|'''(x+y)L (5x+4y)s'''
|'''5th f-mosdescendant'''
|'''(x+y)L (nx+(n-1)y)s'''
|'''nth f-mosdescendant'''
|-
|(3x+2y)L (x+y)s
|a-mosschismic
|
|
|
|
|
|mechpentoid
|
|
|
|-
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |m-mosenharmonic
|(2x+y)L (3x+2y)s
|m-mosschismic
|(2x+y)L (5x+3y)s
|4th m-mosdescendant
|(2x+y)L (7x+4y)s
|5th m-mosdescendant
|
|
|
|
|-
|-
|(3x+2y)L (2x+y)s
|4L 1s
|u-mosschismic
|manual
|
|
|
|
|
Line 1,259: Line 1,058:
|
|
|
|
|}
{| class="wikitable"
|+Mosdescendants sorted by step ratio
!Parent scale
! colspan="2" |Moschromatic scales
(1st mosdescendants)
! colspan="2" |Mosenharmonic scales
(2nd mosdescendants)
! colspan="2" |Mosschismic scales
(3rd mosdescendants)
! colspan="3" |nth-mosdescendant scales
|-
|-
!Steps
|2L 3s
!Steps
|pentic
!Specific name
!Steps
!Specific name
!Steps
!Specific name
!Steps
!Specific name
!Step ratio of parent
|-
| rowspan="10" |xL ys
| rowspan="5" |(x+y)L xs
| rowspan="5" |m-moschromatic
| rowspan="3" |(x+y)L (2x+y)s
| rowspan="3" |f-mosenharmonic
| rowspan="2" |(x+y)L (3x+2y)s
| rowspan="2" |f-mosschismic
|(x+y)L (nx+(n-1)y)s
|nth f-mosdescendant
|Softer than 5:4
|-
| rowspan="8" |
| rowspan="8" |
| rowspan="8" |
|-
|(3x+2y)L (x+y)s
|a-mosschismic
|-
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |m-mosenharmonic
|(3x+2y)L (2x+y)s
|u-mosschismic
|-
|(2x+y)L (3x+2y)s
|m-mosschismic
|-
| rowspan="5" |xL (x+y)s
| rowspan="5" |p-moschromatic
| rowspan="2" |(2x+y)L xs
| rowspan="2" |p-mosenharmonic
|(2x+y)L (3x+y)s
|p-mosschismic
|-
|(3x+y)L (2x+y)s
|q-mosschismic
|-
| rowspan="3" |xL (2x+y)s
| rowspan="3" |s-mosenharmonic
|(3x+y)L xs
|r-mosschismic
|-
| rowspan="2" |xL (3x+y)s
| rowspan="2" |s-mosschismic
|-
|xL (nx+y)s
|nth s-mosdescendant
|Harder than 5:1
|}
 
=== Reasoning for names ===
The names for moschromatic scales are based on former names for the child scales for diatonic (5L 2s): p-chromatic (5L 7s) and m-chromatic (7L 5s). This was generalized to "chromatic" and "moschromatic", with the prefixes m- and p- for specificity. The names for mosenharmonic scales are based on discussions with xen Discord members for systematically naming the daughter and granddaughter scales of a mos, producing "enharmonic" and "mosenharmonic" with the prefixes f-, m-, p-, and s- for specificity.
 
Names for mosdescendants are thereby based on replacing the mos- prefix with that for a mos's TAMNAMS name. This effectively brings back the names of m-chromatic and p-chromatic, as TAMNAMS specifically names mosses up to 10 notes. This also names other mosses whose names were lost entirely, mainly kleistonic (4L 7s, now p-smichromatic) and suprasmitonic (7L 4s, now m-smichromatic), two names that were dropped because these mosses had more than 10 notes.
 
The reason why mosdescendants for mosses with 4 periods or greater are not based on their corresponding n-wood scale is because these mosses do not have any child mosses with 10 notes or fewer, and therefore have no named child mosses from which to build mosdescendant names. Rather, names for these mosdescendants are based on period-agnostic names (antrial, trial, antetric, tetric, etc) to reflect that these are scales based on duplicating a base mos multiple times within an octave.
 
The addition of mosschismic scales for great-grandchild scales was done for completeness, with the prefixes f-, a-, u-, m-, p- q-, r-, and s- for specificity (names not finalized). Note that mosschismic scales borrows the prefixes as mosenharmonic scales, which itself borrows those for mosenharmonic scales. The table below shows what prefixes are used for which generation of mosdescendants, with an added mnemonic for memorization.
{| class="wikitable"
|+Table of mosdescendent prefixes and meanings
!Prefix
!For moschromatic scales
!For mosenharmonic scales
!For mosschismic scales
!Mnemonic
|-
|f-
|n/a
|F for '''f'''lat; f-mosenharmonic scales have a grandparent whose pitches are flatter compared to basic (L:s = 2:1).
|F for '''f'''lat.
| rowspan="4" |FAUM sounds like foam, which sounds '''soft'''.
F-, a-, u-, and m-mosschismic scales generally have a great-grandparent with a '''soft''' step ratio.
|-
|a-
|n/a
|n/a
|A from p'''a'''rasoft, as "P" is taken.
|-
|u-
|n/a
|n/a
|U from q'''u'''asisoft, as "Q" is taken.
|-
|m-
|M for '''m'''aybe/'''m'''ellow; based on old name for 7L 5s
| rowspan="2" |M- and p-mosenharmonic scales have a grandparent whose step ratio is close to the "'''m'''id'''p'''oint" of L:s = 2:1.
| rowspan="2" |M and P for '''m'''id'''p'''oint.
|-
|p-
|P for '''p'''ure/shar'''p'''; based on old name for 5L 7s
| rowspan="4" |PQRS are four consecutive letters in the alphabet. It's '''hard''' to pronounce because there are no vowels.
P-, q-, r-, and s-mosschismic scales generally have a great-grandparent with a '''hard''' step ratio.
|-
|q-
|n/a
|n/a
|Q and R are the only two letters between P and S. Q may stand for '''q'''uasihard.
|-
|r-
|n/a
|n/a
|Q and R are the only two letters between P and S. R may stand for pa'''r'''ahard.
|-
|s-
|n/a
|S for '''s'''harp; s-mosenharmonic scales have a grandparent whose pitches are sharper compared to basic (L:s = 2:1).
|"S" for '''s'''harp.
|}
 
=== Examples ===
{| class="wikitable"
|+Names for descendant scales of 5L 2s (diatonic)
! colspan="2" |Diatonic scale
! colspan="2" |Chromatic scales
! colspan="2" |Enharmonic scales
! colspan="2" |Schismic scales
!4th diatonic descendants
|-
!Steps
!Name
!Steps
!Name
!Steps
!Name
!Steps
!Name
!Steps
|-
| rowspan="8" |[[5L 2s]]
| rowspan="8" |diatonic
| rowspan="4" |[[7L 5s]]
| rowspan="4" |m-chromatic
| rowspan="2" |[[7L 12s]]
| rowspan="2" |f-enharmonic
|[[7L 19s]]
|f-schismic
|7A 26B
|-
|[[19L 7s]]
|a-schismic
|19A 26B
|-
| rowspan="2" |[[12L 7s]]
| rowspan="2" |m-enharmonic
|[[19L 12s]]
|u-schismic
|19A 31B
|-
|[[12L 19s]]
|m-schismic
|12A 31B
|-
| rowspan="4" |[[5L 7s]]
| rowspan="4" |p-chromatic
| rowspan="2" |[[12L 5s]]
| rowspan="2" |p-enharmonic
|[[12L 17s]]
|p-schismic
|12A 29B
|-
|[[17L 12s]]
|q-schismic
|17A 29B
|-
| rowspan="2" |[[5L 12s]]
| rowspan="2" |s-enharmonic
|[[17L 5s]]
|r-schismic
|17A 22B
|-
|[[5L 17s]]
|s-schismic
|5A 22B
|}
{| class="wikitable"
|+Names for descendant scales for 5L 3s (oneirotonic)
! colspan="2" |Oneirotonic scale
! colspan="2" |Oneirochromatic scales
! colspan="2" |Oneiroenharmonic scales
! colspan="2" |Oneiroschismic scales
!4th oneirodescendants
|-
!Steps
!Name
!Steps
!Name
!Steps
!Name
!Steps
!Name
!Steps
|-
| rowspan="8" |[[8L 5s]]
| rowspan="8" |oneirotonic
| rowspan="4" |[[8L 5s]]
| rowspan="4" |m-oneirochromatic
| rowspan="2" |[[8L 13s]]
| rowspan="2" |f-oneiroenharmonic
|[[8L 21s]]
|f-oneiroschismic
|8A 29B
|-
|[[21L 8s]]
|a-oneiroschismic
|21A 29B
|-
| rowspan="2" |[[13L 8s]]
| rowspan="2" |m-oneiroenharmonic
|[[21L 13s]]
|u-oneiroschismic
|21A 34B
|-
|[[13L 21s]]
|m-oneiroschismic
|13A 34B
|-
| rowspan="4" |[[5L 8s]]
| rowspan="4" |p-oneirochromatic
| rowspan="2" |[[13L 5s]]
| rowspan="2" |p-oneiroenharmonic
|[[13L 18s]]
|p-oneiroschismic
|13A 31B
|-
|[[18L 13s]]
|q-oneiroschismic
|18A 31B
|-
| rowspan="2" |[[5L 13s]]
| rowspan="2" |s-oneiroenharmonic
|[[18L 5s]]
|r-oneiroschismic
|18A 23B
|-
|[[5L 18s]]
|s-oneiroschismic
|5A 23B
|}
 
=== Notes and issues ===
* Interestingly, there is evidence that another Xen Discord user ([[user:Flirora]]) suggested the same naming system described here up to 3 generations, with only slight differences with 3rd-generation names. As I was part of a discussion on limiting TAMNAMS names to 10-note mosses, which facilitated naming mosdescendants up to two generations (mosenharmonic scales), rather than this earlier suggestion, it's possible that the same proposal for mosenharmonic scales may have been independently developed twice.
* Some names with this system are not finalized, particularly the term "mosschismic" and some of the single-letter prefixes.
** Better names than "mosschismic" include "mossubharmonic" (adapted from the above suggestion which had "prefix-sub-prefix-enharmonic") and "mossubchromatic", possibly shortened to "mossubchromic" (adapted from "subchromatic", as seen in [[Diatonic, Chromatic, Enharmonic, Subchromatic|this page]]).
** An issue with using letter-based prefixes is that many of them are based on temperaments. A temperament-agnostic interpretation will be needed if these letters are to be generalized outside of the diatonic family.
** Yet another issue is that the pattern of f-, m-, p-, and s-, all based on temperaments, does not continue with 3rd-generation mosses in that f- and s- are no longer at the extremes and p- is no longer at the midpoint (see table below). Either 3rd-generation mosses need a different set of prefixes, or a different set of prefixes are needed throughout.
** In the spirit of TAMNAMS being temperament-agnostic, a proper solution may be to not use and shoehorn temperament-suggestive prefixes, but rather use the names for step ratios. This lines up with Frostburn's proposal, but applies to the first three generations, not just the third. (Frostburn's proposed abbreviations may also work.) Under this system, all prefixes can work for all three generations, so soft-chromatic, hyposoft-chromatic, and minisoft-chromatic is allowed, just as soft-subchromatic, hyposoft-subchromatic, and minisoft-subchromatic. The absence of prefixes is also allowed.
*** Hard and soft are preferred over sharp and flat, as those describe accidentals specific to diatonic notation. TAMNAMS and diamond-mos notation has generalized sharps and flats, called amps/ams and ats.
{| class="wikitable"
! rowspan="2" |Diatonic scale
! colspan="2" |Child scales
! colspan="2" |Grandchild scales
! colspan="3" |Great-grandchild scales
|-
!Steps
!Notable temperament(s)
!Steps
!Notable temperament(s)
!Steps
!Notable temperament(s)
!Would-be prefix
|-
| rowspan="8" |[[5L 2s]]
| rowspan="4" |[[7L 5s]]
| rowspan="4" |meantone
| rowspan="2" |[[7L 12s]]
| rowspan="2" |flattone
|[[7L 19s]]
|tridecimal
|t-
|-
|[[19L 7s]]
|'''flattone'''
|f-
|-
| rowspan="2" |[[12L 7s]]
| rowspan="2" |meantone
|[[19L 12s]]
|'''meanpop'''
|m-
|-
|[[12L 19s]]
|huygens
|h-
|-
| rowspan="4" |[[5L 7s]]
| rowspan="4" |pythagorean
| rowspan="2" |[[12L 5s]]
| rowspan="2" |pythagorean
|[[12L 17s]]
|'''pythagorean'''
|p-
|-
|[[17L 12s]]
|gentle
|g-
|-
| rowspan="2" |[[5L 12s]]
| rowspan="2" |superpyth
|[[17L 5s]]
|'''superpyth'''
|s-
|-
|[[5L 17s]]
|ultrapyth
|u-
|}
{| class="wikitable"
! rowspan="2" |Diatonic scale
! colspan="3" |Child scales
! colspan="3" |Grandchild scales
! colspan="3" |Great-grandchild scales
|-
!Steps
!Name based on step ratio
!Possible abbrev.
!Steps
!Name based on step ratio
!Possible abbrev.
!Steps
!Name based on step ratio
!Possible abbrev.
|-
| rowspan="15" |[[5L 2s]]
| rowspan="7" |[[7L 5s]]
| rowspan="7" |soft-chromatic
| rowspan="7" |s-chromatic
| rowspan="3" |[[7L 12s]]
| rowspan="3" |soft-enharmonic
| rowspan="3" |s-enharmonic
|[[7L 19s]]
|ultrasoft-subchromatic
|us-subchromatic
|-
|26edo
|
|
|-
|[[19L 7s]]
|parasoft-subchromatic
|ps-subchromatic
|-
|19edo
|
|
|
|
|
|diapentoid
|
|
|
|
|-
|-
| rowspan="3" |[[12L 7s]]
|3L 2s
| rowspan="3" |hyposoft-enharmonic
|anpentic
| rowspan="3" |hs-enharmonic
|[[19L 12s]]
|quasisoft-subchromatic
|qs-subchromatic
|-
|50edo
|
|
|-
|[[12L 19s]]
|minisoft-subchromatic
|ms-subchromatic
|-
|12edo
|equalized-chromatic
|e-chromatic
|
|
|
|
|
|
|
|
|
|-
| rowspan="7" |[[5L 7s]]
| rowspan="7" |hard-chromatic
| rowspan="7" |h-chromatic
| rowspan="3" |[[12L 5s]]
| rowspan="3" |hypohard-enharmonic
| rowspan="3" |hh-enharmonic
|[[12L 17s]]
|minihard-subchromatic
|mh-subchromatic
|-
|31edo
|
|
|
|
|-
|-
|[[17L 12s]]
! colspan="9" |Changes to names that bear a prefix (anti-, sub-, etc) (most justifiable changes)
|quasihard-subchromatic
|qh-subchromatic
|-
|17edo
|
|
|
|
|
|-
| rowspan="3" |[[5L 12s]]
| rowspan="3" |hard-enharmonic
| rowspan="3" |h-enharonic
|[[17L 5s]]
|parahard-subchromatic
|ph-subchromatic
|-
|39edo
|
|
|-
|[[5L 17s]]
|ultrahard-subchromatic
|uh-subchromatic
|}
== Proposal: Naming mos modes ==
 
=== Current proposal, with proposed amendment for emphasis on dark generator ===
There is currently a proposed system for naming mos modes as follows: '''xL ys u|''', where x is the number of large steps, y is the number of small steps, u corresponds to the the mode's UDP (the u in u|d), and | is pronounced as "pipe". As an example, the modes of 4L 1s (manual) can be named as the following:
{| class="wikitable"
|+Modes of manual (4L 1s)
!Mode
!UDP
!TAMNAMS name
|-
|LLLLs
|<nowiki>4|0</nowiki>
|<nowiki>4L 1s 4|</nowiki>
|-
|LLLsL
|<nowiki>3|1</nowiki>
|<nowiki>4L 1s 3|</nowiki>
|-
|LLsLL
|<nowiki>2|2</nowiki>
|<nowiki>4L 1s 2|</nowiki>
|-
|LsLLL
|<nowiki>1|3</nowiki>
|<nowiki>4L 1s 1|</nowiki>
|-
|sLLLL
|<nowiki>0|4</nowiki>
|<nowiki>4L 1s 0|</nowiki>
|}
In situations where it's more intuitive to think in terms of the dark generator instead of the bright generator, the format is instead '''xL ys |d''', where d corresponds to the mode's UDP (the d in u|d). An example of this can be seen in the classic pentatonic scale (2L 3s), where even though the bright generator corresponds to diatonic's perfect 4th (which is actually diatonic's dark generator), it's common to think of these modes in terms of diatonic's bright generator (even though it's the dark generator of 2L 3s). This is because the bright and dark generators "flip" between 2L 3s to 5L 2s. (In general, generators flip when a mos xL ys has a child of (x+y)L xs, but don't flip if the child is xL (x+y)s, and in general, looking at modes in terms of the dark generator reverses the order of modes compared with the bright generator.)
{| class="wikitable"
|+Modes of pentic (2L 3s)
!Mode
!UDP
!TAMNAMS name
|-
|sLsLL
|<nowiki>0|4</nowiki>
|<nowiki>2L 3s |4</nowiki>
|-
|sLLsL
|<nowiki>1|3</nowiki>
|<nowiki>2L 3s |3</nowiki>
|-
|LsLsL
|<nowiki>2|2</nowiki>
|<nowiki>2L 3s |2</nowiki>
|-
|LsLLs
|<nowiki>3|1</nowiki>
|<nowiki>2L 3s |1</nowiki>
|-
|LLsLs
|<nowiki>4|0</nowiki>
|<nowiki>2L 3s |0</nowiki>
|}
 
=== Mode names based on mosnames ===
If a more memorable name is desired but there are no assigned names for the mos's modes, interim names can be made using [[genchain mode numbering]] on the name of the mos, where the first-brightest mode is called 1st mosname, the second-brightest mode is called 2nd mosname, and so on. Note that these names can only be made if there is a TAMNAMS name for a mos. Excluding current proposals to extend TAMNAMS names beyond the 10-note limit, this means most mos mode names will typically be formatted as '''xL ys u|'''.
{| class="wikitable"
|+Modes of pine (7L 1s)
!Mode
!UDP
!Mode name
|-
|LLLLLLLs
|<nowiki>7|0</nowiki>
|1st pine
|-
|LLLLLLsL
|<nowiki>6|1</nowiki>
|2nd pine
|-
|LLLLLsLL
|<nowiki>5|2</nowiki>
|3rd pine
|-
|LLLLsLLL
|<nowiki>4|3</nowiki>
|4th pine
|-
|LLLsLLLL
|<nowiki>3|4</nowiki>
|5th pine
|-
|LLsLLLLL
|<nowiki>2|5</nowiki>
|6th pine
|-
|LsLLLLLL
|<nowiki>1|6</nowiki>
|7th pine
|-
|sLLLLLLL
|<nowiki>0|7</nowiki>
|8th pine
|}
{| class="wikitable"
|+Modes of tcherepnin (3L 6s)
!Mode
!UDP
!Mode name
|-
|LssLssLss
|<nowiki>6|0(3)</nowiki>
|1st tcherepnin
|-
|sLssLssLs
|<nowiki>3|3(3)</nowiki>
|2nd tcherepnin
|-
|ssLssLssL
|<nowiki>0|6(3)</nowiki>
|3rd tcherepnin
|}
 
== Suggested changes for mos pattern names (work-in-progress) ==
This section describes changes to existing [[TAMNAMS]] names that I would make. Reasons:
 
* Some names are still based on a temperament (mainly the -oid names), so those are either replaced with a new name or at least altered so the references are more indirect.
* There were Discord users with whom I shared a similar sentiment regarding the names of certain scales, mainly the mosses with the anti- prefix and the scales antidiatonic and superdiatonic.
* Some names are too long (in my opinion).
 
The choice of names are not perfect and some may have issues. Some name suggestions went through different versions. This section is meant to start a discussion on alternate names should a need come up for it.
{| class="wikitable"
|+
Table of proposed name changes
! colspan="10" |Changes to names to reduce or remove references to temperaments
|-
|-
! rowspan="2" |Mos
! rowspan="2" |Mos
! colspan="3" |Current name
! colspan="3" |Current name
! colspan="3" |Suggested name(s)
! colspan="3" |Suggested name(s)
! rowspan="2" |Old suggestions
! rowspan="2" |Reasoning
! rowspan="2" |Reasoning
! rowspan="2" |Possible issues
! rowspan="2" |Possible issues and other notes
|-
|-
!Name
!Name
Line 1,835: Line 1,087:
!Abbrev.
!Abbrev.
!Name
!Name
!Prefix
! Prefix
!Abbrev.
|-
|5L 1s
|machinoid
|mech-
|mech
|mechatonic
|unchagned
|unchagned
|
|A more indirect reference to [[machine]] temperament.
|Still references machine temperament. May also reference [[Subgroup temperaments|mechanism]] temperament.
|-
|3L 7s
|sephiroid
|seph-
|seph
|sephirotonic or sephiratonic
|unchagned
|unchagned
|septonic
|Rather than alluding to [[sephiroth]] temperament, the name should allude to Peter Kosmorsky's ''[https://ia800703.us.archive.org/12/items/TractatumDeModiSephiratorum/ModiSephiratorum.pdf Tractatum de Modi Sephiratorum]'' (A Treatise on the Modes of the Sephirates), whose name ultimately comes from the [[wikipedia:Sefirot|sefirot]]. The document describes several edos that are said to contain the "modi sephiratorum" (sephirate modes). Therefore, instead of the name "sephiroid", suggesting that the mos pattern resembles the modi sephiratorum, the mos pattern ''is'' the modi sephiratorum, hence the mosname "sephirotonic".
|May still reference sephiroth temperament. For a more indirect reference, an alternate transliteration of סְפִירוֹת (sefirot) may be used instead.
New name is longer than the old name.
|-
|7L 3s
|dicoid and zaltertic
|dico- and zal-
|dico and zal
|zaltertic
|zal-
|zal
|
|As of writing, there are two names. I would favor zaltertic over dicoid in that it removes a name that suggests a temperament.
|Central zalzalian thirds (another name for neutral thirds) are not the scale's bright generator, but are produced by the scale.
|-
! colspan="10" |Changes to names that bear the anti- prefix
|-
! rowspan="2" |Mos
! colspan="3" |Current name
! colspan="3" |Suggested name(s)
! rowspan="2" |Old suggestions
! rowspan="2" |Reasoning
! rowspan="2" |Possible issues
|-
!Name
!Prefix
!Abbrev.
!Name
!Prefix
!Abbrev.
!Abbrev.
|-
|-
Line 1,891: Line 1,093:
|antimachinoid
|antimachinoid
|amech-
|amech-
|amech
| amech
|selenite
|selenite or moonstone
|sel-
|sel- or moon-
|sel
| sel or moon
|selenic
| rowspan="4" |Shorter names. These names follow in the same spirit as "onyx" for 1L 6s in the following ways:
|Shorter name. An indirect reference to [[luna]] temperament; "selene" is Greek for "moon". The name "selenite" follows the same pattern of 1L 6s being named after a type of gemstone.
 
|Pun.
*"Selenite" is a mineral and is Greek for "moon", indirectly referencing [[luna]] temperament, as does "moonstone".
*"Spinel" contains the word "pine", referencing its sister mos of "pine".
* Depending on pronunciation, the word "agate" may rhyme with "eight".
*Depending on pronunciation, the word "olivine" may rhyme with "nine".
| rowspan="4" |Puns; dependent on pronunciation, which may vary.
A compromise is to recognize both the current and proposed names:
 
*1L 5s: antimachinoid, selenite
* 1L 6s: antiarcheotonic (new name), onyx
* 1L 7s: antipine, spinel
*1L 8s: antisubneutralic, agate
*1L 9s: antisinatonic, olivine
|-
|-
|1L 7s
|1L 7s
|antipine
|antipine
|apine-
|apine-
|apine
| apine
|spinel
|spinel
|spin-
|spin-
|spin
|spin
|alpine, stelanic
| rowspan="3" |Shorter names. These names follow in the same spirit as "onyx" for 1L 6s in the following ways:
* "Spinel" contains the word "pine", referencing its sister mos of "pine".
* Depending on pronunciation, the word "agate" may rhyme with "eight".
* Depending on pronunciation, the word "olivine" may rhyme with "nine".
| rowspan="3" |Pun. The names suggested don't typically rhyme with the words they're trying to rhyme with or reference, ruining the joke.
|-
|-
|1L 8s
|1L 8s
Line 1,919: Line 1,125:
|ablu
|ablu
|agate
|agate
|aga- or agat-
| aga- or agat-
|aga
|aga
|mineric
|-
|-
|1L 9s
| 1L 9s
|antisinatonic
|antisinatonic
|asina-
|asina-
|asi
|asi
|olivine
|olivine
|oliv-
|oli
|oliv
|oli
|parivalic, alentic
|-
| rowspan="2" | 2L 5s
| rowspan="2" |antidiatonic
| rowspan="2" |pel-
| rowspan="2" |pel
|pelotonic
|unchagned
| unchagned
|Option 1: make 2L 5s more distinct from 5L 2s. This mirrors a few Discord users' sentiments regarding this scale in that it should not be treated as an "inversion" of 5L 2s but should be treated as something unique.
|Connections to 5L 2s may be beneficial to musicians, and this connection already exists for mavila.
Hairtonic.
|-
|adiatonic
|adia-
| adia.
|Option 2: leave it as-is but change the prefix to adia-.
|May be too minor of a change.
|-
|8L 1s
|subneutralic
|blu-
|blu
|azurtonic
| azu- or unchanged
|azu or unchanged
|An indirect reference to [[bleu]] temperament; azure is a specific shade of blue. Simplified name. Also, the sub- prefix may falsely suggest another scale called "(prefix)neutralic", similar to how sub'''aric''' (2L 6s) is the parent to both j'''aric''' (2L 8s) and t'''aric''' (8L 2s).
| New name is referencing a temperament, albeit indirectly. The sub- prefix reasoning may be a stretch, since subaric, jaric, and taric are the only mosses related this way.
|-
| 3L 2s
|antipentic
|apent-
|apt
|anpentic
| unchanged
|unchanged
| Makes the name more consistent with other an- mosses.
|Too minor of a modification. A possible compromise is to accept it as a spelling variant.
|-
|-
! colspan="10" |Changes to names that bear other prefixes
! colspan="9" | Changes to names to reduce or remove references to temperaments (least justifiable changes)
|-
|-
! rowspan="2" |Mos
! rowspan="2" |Mos
! colspan="3" |Current name
! colspan="3" |Current name
! colspan="3" |Suggested name(s)
! colspan="3" |Suggested name(s)
! rowspan="2" |Old suggestions
! rowspan="2" |Reasoning
! rowspan="2" |Reasoning
! rowspan="2" |Possible issues
! rowspan="2" |Possible issues and other notes
|-
|-
!Name
!Name
Line 1,945: Line 1,185:
!Abbrev.
!Abbrev.
!Name
!Name
!Prefix
! Prefix
!Abbrev.
!Abbrev.
|-
|-
|2L 5s
| 5L 1s
|antidiatonic
|machinoid
|pel-
|mech-
|pel
| mech
|pelotonic
|mechatonic
|unchagned
|unchagned
|unchagned
|unchagned
|pelic
|A more indirect reference to [[machine]] temperament.
| rowspan="2" |From "[[pelog]]" and "[[armodue]]". The proposed names are to make both scales more distinct from diatonic. These names must be changed together.
|Still references machine temperament. May also reference [[Subgroup temperaments|mechanism]] temperament. '''May be too minor of a modification.'''
| rowspan="2" |The connection to diatonic may be beneficial to some musicians. Additionally, the mode names commonly used for both mosses are those from diatonic (lydian, ionian, etc) with the anti- and super- prefixes added.
New names reference pelog tuning and armodue theory.
|-
|-
|7L 2s
|3L 7s
|superdiatonic
|sephiroid
|arm-
|seph-
|arm
|seph
|armotonic
| sephirotonic or sephiratonic
|unchagned
|unchagned
|unchagned
| unchagned
|armic
|Rather than alluding to [[sephiroth]] temperament, the name should allude to Peter Kosmorsky's ''[https://ia800703.us.archive.org/12/items/TractatumDeModiSephiratorum/ModiSephiratorum.pdf Tractatum de Modi Sephiratorum]'' (A Treatise on the Modes of the Sephirates), whose name ultimately comes from the [[wikipedia:Sefirot|sefirot]]. The document describes several edos that are said to contain the "modi sephiratorum" (sephirate modes). Therefore, instead of the name "sephiroid", suggesting that the mos pattern resembles the modi sephiratorum, the mos pattern ''is'' the modi sephiratorum, hence the mosname "sephirotonic".
|-
|May still reference sephiroth temperament. For a more indirect reference, an alternate transliteration of סְפִירוֹת (sefirot) may be used instead.
|8L 1s
'''New name is longer than the old name. May also be too minor of a modificaiton.'''
|subneutralic
|blu-
|blu
|azurtonic
|azu- or unchanged
|azu or unchanged
|azuric
|An indirect reference to [[bleu]] temperament; azure is a specific shade of blue. Simplified name. Also, the sub- prefix may falsely suggest another scale called "(prefix)neutralic", similar to how sub'''aric''' (2L 6s) is the parent to both j'''aric''' (2L 8s) and t'''aric''' (8L 2s).
|New name is referencing a temperament, albeit indirectly. The sub- prefix reasoning may be a stretch, since subaric, jaric, and taric are the only mosses related this way.
|-
|-
|2L 6s
|2L 6s
Line 1,987: Line 1,216:
|bara-
|bara-
|bar
|bar
|
|Rhymes perfectly with jaric and taric. May also mean "basic -aric", as this mos with a basic step ratio (L:s=2:1) cannot produce jaric or taric, or rather, produces both but equalized.
|Rhymes perfectly with jaric and taric. May also mean "basic -aric", as this mos with a basic step ratio (L:s=2:1) cannot produce jaric or taric, or rather, produces both but equalized.
|Too minor of a modification. The use of "bar" as an abbreviation may be problematic ("bar" may also mean "measure" in sheet music).
|'''Too minor of a modification.''' The use of "bar" as an abbreviation may be problematic ("bar" may also mean "measure" in sheet music).
|}
|}


=== Aesthetic rules ===
=== Table of all proposed changes ===
These are the rules that attempt to justify the logic behind much of the name suggestions. There are, of course, exceptions to these rules, as some names are arguably too memorable to change.
Changed names are denoted in '''bold'''.
 
{| class="wikitable center-all"
# Names for single-period mosses with 5 or fewer notes are the most general names in the sense that they're not limited to an octave period and end with -ic or -al. These should be the only mosses that contain the anti- prefix, shortened to an-. (Exception: monowood is octave-specific and does not end with -ic or -al.)
|+TAMNAMS mos names
## An extreme alternative to rule 1 is to say that all mosses named under rule 1 should end with -al, but this requires renaming more mosses (antetral, tetral, pental, anpental) for arguably little gain.
! colspan="5" |Mosses with 2-5 notes are skipped entirely.
# Names for single-period mosses not of the form 1L ns end with -tonic, suggesting that these are octave-specific and reference a specific interval, a notable pre-TAMNAMS or other temperament-agnostic name, or indirectly reference a temperament if all other options are exhausted. (Exceptions: mosh, semiquartal, zaltertic, balzano, and pine don't end with -tonic.)
|-
# Names for mosses of the form 1L ns with 6 or more notes are named after gemstones and minerals, following the spirit of 1L 6s being named onyx. These are named differently than those named using the previous rule as these mosses have too broad a tuning range to even suggest a single temperament.
! colspan="5" |6-note mosses
# Names for multi-period mosses end with -ic and always refer to an octave-equivalent scale. (Execptions: lemon, lime, tcherepnin, and all the -wood scales don't end with -ic.)
|-
# With the exception of mosses named under rule 1, no mosses should be named in a way that they contain additional prefixes such as anti-, sub-, or super-. (Exception: semiquartal bears the semi- prefix, but its mosprefix is chton-).
!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>!!Etymology
Other name changes:
|-
* Antipentic -> anpentic; follows names of other small mosses where an- is used as a shortened form of anti-.
|[[1L 5s]]||'''selenite; moonstone'''||sel-||sel||indirect reference to luna temperament
 
|-
{| class="wikitable"
|[[2L 4s]]||malic||mal-||mal||apples have two concave ends, lemons have two pointy ends.
|+Table of mosses with all proposed name changes (changed names are shown in bold)
|-
! colspan="18" |Single-period mosses
|[[3L 3s]]||triwood||triwd-||trw||from 3-wood
|-
|[[4L 2s]]||citric||citro-||cit||parent mos of lemon and lime
|-
|[[5L 1s]]||machinoid||mech-||mech||from [[machine]] temperament
|-
! colspan="5" |7-note mosses
|-
!Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!Etymology
|-
|[[1L 6s]]||onyx||on-||on||[[#Onyx (1L 6s)|from a ''lot'' of naming puns]]
|-
|[[2L 5s]]||antidiatonic||pel-||pel||pel- is from pelog
|-
|-
!Mos
|[[3L 4s]]||mosh||mosh-||mosh||Graham Breed's name; from "mohajira-ish"
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
|-
|-
| rowspan="16" |1L 1s
|[[4L 3s]]||smitonic||smi-||smi||from "sharp minor third"
| rowspan="16" |trivial
monowood
| rowspan="11" |1L 2s
| rowspan="11" |antrial
| rowspan="8" |1L 3s
| rowspan="8" |antetric
| rowspan="6" |1L 4s
| rowspan="6" |pedal
| rowspan="5" |1L 5s
| rowspan="5" |'''selenite'''
| rowspan="4" |1L 6s
| rowspan="4" |'''onyx'''
| rowspan="3" |1L 7s
| rowspan="3" |'''spinel'''
| rowspan="2" |1L 8s
| rowspan="2" |'''agate'''
|1L 9s
|'''olivine'''
|-
|-
|9L 1s
|[[5L 2s]]||diatonic||dia-||dia||
|sinatonic
|-
|-
|8L 1s
|[[6L 1s]]||arch(a)eotonic||arch-||arch||originally a name for 13edo's 6L 1s
|'''azurtonic'''
| colspan="2" rowspan="14" |
|-
|-
|7L 1s
! colspan="5" |8-note mosses
|pine
| colspan="2" rowspan="13" |
|-
|-
|6L 1s
!Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!Etymology
|arch(a)eotonic
| colspan="2" rowspan="12" |
|-
|-
|5L 1s
|[[1L 7s]]||'''spinel'''||spin-||sp||contains the substring "pine"
|'''mechatonic'''
| colspan="2" rowspan="11" |
|-
|-
| rowspan="2" |4L  1s
|[[2L 6s]]||subaric||subar-||subar||largest subset mos of jaric and taric
| rowspan="2" |manual
|5L 4s
|semiquartal
|-
|-
|4L 5s
|[[3L 5s]]||checkertonic||check-||chk||from the [[Kite Giedraitis's Categorizations of 41edo Scales|Kite guitar checkerboard scale]]
|gramitonic
|-
|-
| rowspan="3" |3L 1s
|[[4L 4s]]||tetrawood; diminished||tetrawd-||ttw||from 4-wood
| rowspan="3" |tetric
|4L 3s
|smitonic
| colspan="2" |
|-
|-
| rowspan="2" |3L 4s
|[[5L 3s]]||oneirotonic||oneiro-||onei||originally a name for 13edo's 5L 3s
| rowspan="2" |mosh
|7L 3s
|'''zaltertic'''
|-
|-
|3L 7s
|[[6L 2s]]||ekic||ek-||ek||from temperaments [[echidna]] and [[hedgehog]]
|'''sephiratonic'''
|-
|-
| rowspan="5" |2L 1s
|[[7L 1s]]||pine||pine-||pine||from [[porcupine]] temperament
| rowspan="5" |trial
| rowspan="2" |3L 2s
| rowspan="2" |'''anpentic'''
|3L 5s
|checkertonic
| colspan="2" rowspan="3" |
|-
|-
|5L 3s
! colspan="5" |9-note mosses
|oneirotonic
|-
|-
| rowspan="3" |2L 3s
!Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!Etymology
| rowspan="3" |pentic
|5L 2s
|diatonic
|-
|-
| rowspan="2" |2L 5s
|[[1L 8s]]||'''agate'''||ag-||ag||rhymes with "eight", depending on one's pronunciation
| rowspan="2" |'''pelotonic'''
|7L 2s
|'''armotonic'''
|-
|-
|2L 7s
|[[2L 7s]]||balzano||bal- /bæl/||bal||from Balzano scale in 20edo which is 2L 7s
|balzano
|-
|-
! colspan="18" |2-period mosses
|[[3L 6s]]||tcherepnin||cher-||ch||common name
|-
|-
!Mos
|[[4L 5s]]||gramitonic||gram-||gram||from "grave minor third"
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
| colspan="10" rowspan="6" |
|-
|-
| rowspan="5" |2L 2s
|[[5L 4s]]||semiquartal||cthon-||cth||from "half fourth" and "chthonic"
| rowspan="5" |biwood
| rowspan="3" |2L 4s
| rowspan="3" |malic
| rowspan="2" |2L 6s
| rowspan="2" |'''baric'''
|2L 8s
|jaric
|-
|-
|8L 2s
|[[6L 3s]]||hyrulic||hyru-||hyru||allusion to [[triforce]] temperament
|taric
|-
|-
|6L 2s
|[[7L 2s]]||superdiatonic; armotonic||arm-||arm||superdiatonic is a common name; arm- and armotonic references [[Armodue]]
|ekic
| colspan="2" rowspan="3" |
|-
|-
| rowspan="2" |4L 2s
|[[8L 1s]]||subneutralic||blu-||blu||derived from the generator being between supraminor and neutral quality. blu- is from [[bleu]] temperament
| rowspan="2" |citric
|6L 4s
|lemon
|-
|-
|4L 6s
! colspan="5" |10-note mosses
|lime
|-
|-
! colspan="18" |3-period mosses
!Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!Etymology
|-
|-
!Mos
|[[1L 9s]]||'''olivine'''||oli-||oli||rhymes with "nine", depending on one's pronunciation
!Name
!Mos
!Name
| colspan="14" rowspan="3" |
|-
|-
| rowspan="2" |3L 3s
|[[2L 8s]]||jaric||jara-||jar||from temperaments [[pajara]], [[injera]] and [[diaschismic]]
| rowspan="2" |triwood
|3L 6s
|tcherepnin
|-
|-
|6L 3s
|[[3L 7s]]||sephiroid||seph-||seph||from [[sephiroth]] temperament
|hyrulic
|-
|-
! colspan="18" |4-period mosses
|[[4L 6s]]||lime||lime-||lime||limes/4L 6s's steps tend to be smaller than lemons/6L 4s's steps
|-
|-
!Mos
|[[5L 5s]]||pentawood||pentawd-||pw||from 5-wood
!Name
| colspan="16" rowspan="2" |
|-
|-
|4L 4s
|[[6L 4s]]||lemon||lem-||lem||from [[lemba]] temperament
|tetrawood
|-
|-
! colspan="18" |5-period mosses
|[[7L 3s]]||dicoid /'daɪˌkɔɪd/||dico-||dico||from exotemperaments [[Dicot family#Dichotic|dichotic]] and [[dicot]] (dicoid)
|-
|-
!Mos
|[[8L 2s]]||taric||tara-||tar||from Hindi ''aṭhārah'' '[[#Taric (8L 2s)|18]]'
!Name
| colspan="16" rowspan="2" |
|-
|-
|5L 5s
|[[9L 1s]]||sinatonic||sina-||si||from [[sinaic]]
|pentawood
|}
|}
<references />
[[Category:TAMNAMS]]

Latest revision as of 14:39, 26 May 2024

This is a subpage for TAMNAMS-related notes, containing various proposals of varying degrees of usefulness and other useful things. This also contains rewrites of sections of the main TAMNAMS page that aren't quite ready to be deployed.

Ordinal-indexed versus zero-indexed names

(Personal notes; may clarify later.)

The use of ordinal indexing for naming mos intervals and degrees is generally discouraged when referring to non-diatonic mos intervals. Ordinal indexing is reserved for describing diatonic interval categories.

Sandboxed section: Naming mos modes

The easiest way to name the modes of a mos, without having to memorize any names, is to refer to them by their UDP, which refers to how many generators are stacked above and below the tonic to produce a mode of the mos.

This section's running example is 5L 3s, whose brightest mode is LLsLLsLs.

Simplified UDP notation

Normal UDP notation is summarized below:

  • For single-period mosses, the UDP is notated as u|d, where u is the number of bright generators stacked above the tonic, d is the number of bright generators stacked below the tonic, and "|" is pronounced as "pipe". The full name of a mos's mode is xL ys u|d.
  • For multi-period mosses with p periods, the UDP of is notated as up|dp(p). Since there are generators being stacked above and below every period - not just the tonic - there are in total u times p and d times p generators being stacked above and below their respective starting pitches. The full name in this case is xL ys up|dp(p).

To make notation easier, TAMNAMS makes the following modifications to UDP notation:

  • The UDP for the mode of a multi-period mosses may be written as u|d(p) rather than up|dp(p). This is because the period already appears in both the quantity of bright (u times p) and dark (d times p) generators, so omitting the p term makes the notation less redundant. In contexts where it doesn't cause confusion, the notation can be simplified further to u|d.
  • The UDP for a mode, single-period or multi-period, may be shortened to "u|" under the reasoning that omitting the d term, which can be inferred by the u term, makes the notation less redundant. For example, "5L 3s 5|", which refers to LsLLsLLs, is read as "5 ell 3 ess 5 pipe".
    • The shortened notation of "u|" is sufficient in most cases, but in situations where it makes more sense to think in terms of the dark generator, such as with a mos whose dark generator is the bright generator of a related mos, the notation is instead "|d".

This simplified notation will be used throughout this section, unless otherwise specified. In any case, the name of a mos can be substituted for its xL ys form.

Finding mos modes

Rotating the sequence of steps - that is, moving the step at the beginning to the end - produces a different mode. This can be repeated until the initial mode that was started with is produced.

This rotation process usually returns the modes in rotational order, not by brightness. To get the modes in order by brightness, produce every interval for each mode - starting at the mosunison and ending at the mosoctave - producing an interval matrix. The brightest mode will be the mode that has all of its intervals - excluding the mosunison, mosoctave, and mosperiods if multi-period - in its large size. The 2nd-brightest mode will have one interval in its small size - for multi-period mosses, one interval is in its small size for every instance of the mosperiod - and so on. The darkest mode will have all of its intervals in its small size. A much faster way to do this process is to skip making an interval matrix and sort the modes produced by rotation in alphabetical order, effectively sorting all modes by decreasing brightness. In either case, the UDP for the modes sorted by brightness are (n-1)|0, (n-2)|1, and so on to 0|(n-1), or (n-1)|, (n-2)| to 0|. The table below shows the modes produced rotationally, and can be sorted by UDP.

Modes of 5L 3s, with interval sizes
Mode Rotational order Simplified UDP mosunison 1-mosstep 2-mosstep 3-mosstep 4-mosstep 5-mosstep 6-mosstep 7-mosstep mosoctave
LLsLLsLs 0 7| 0 (perfect) L (major) 2L (major) 2L+s (perfect) 3L+s (major) 4L+s (augmented) 4L+2s (major) 5L+2s (major) 5L+3s (perfect)
LsLLsLsL 1 4| 0 (perfect) L (major) L+s (minor) 2L+s (perfect) 3L+s (major) 3L+2s (perfect) 4L+2s (major) 4L+3s (minor) 5L+3s (perfect)
sLLsLsLL 2 1| 0 (perfect) s (minor) L+s (minor) 2L+s (perfect) 2L+2s (minor) 3L+2s (perfect) 3L+3s (minor) 4L+3s (minor) 5L+3s (perfect)
LLsLsLLs 3 6| 0 (perfect) L (major) 2L (major) 2L+s (perfect) 3L+s (major) 3L+2s (perfect) 4L+2s (major) 5L+2s (major) 5L+3s (perfect)
LsLsLLsL 4 3| 0 (perfect) L (major) L+s (minor) 2L+s (perfect) 2L+2s (minor) 3L+2s (perfect) 4L+2s (major) 4L+3s (minor) 5L+3s (perfect)
sLsLLsLL 5 0| 0 (perfect) s (minor) L+s (minor) L+2s (diminished) 2L+2s (minor) 3L+2s (perfect) 3L+3s (minor) 4L+3s (minor) 5L+3s (perfect)
LsLLsLLs 6 5| 0 (perfect) L (major) L+s (minor) 2L+s (perfect) 3L+s (major) 3L+2s (perfect) 4L+2s (major) 5L+2s (major) 5L+3s (perfect)
sLLsLLsL 7 2| 0 (perfect) s (minor) L+s (minor) 2L+s (perfect) 2L+2s (minor) 3L+2s (perfect) 4L+2s (major) 4L+3s (minor) 5L+3s (perfect)

Since multi-period mosses repeats every period rather than at every octave, the number of modes corresponds to the number of pitches in the period. As a result, multi-period mosses always have fewer modes. An example is shown for 3L 6s, with modified UDPs as described in the previous section.

Modes of 3L 6s, with interval sizes
Mode Mode name Simplified UDP Rotational order mosunison 1-mosstep 2-mosstep 3-mosstep 4-mosstep 5-mosstep 6-mosstep 7-mosstep 8-mosstep mosoctave
LssLssLss 3L 6s 2| 2| 0 0 (perfect) L (augmented) L+s (perfect) L+2s (perfect) 2L+2s (augmented) 2L+3s (perfect) 2L+4s (perfect) 3L+4s (augmented) 3L+5s (perfect) 3L+6s (perfect)
sLssLssLs 3L 6s 1| 1| 2 0 (perfect) s (perfect) L+s (perfect) L+2s (perfect) L+3s (perfect) 2L+3s (perfect) 2L+4s (perfect) 2L+5s (perfect) 3L+5s (perfect) 3L+6s (perfect)
ssLssLssL 3L 6s 0| 0| 1 0 (perfect) s (perfect) 2s (diminished) L+2s (perfect) L+3s (perfect) L+4s (diminished) 2L+4s (perfect) 2L+5s (perfect) 2L+6s (diminished) 3L+6s (perfect)

Alterations to a mode

Alterations to a mode are denoted by listing what 0-indexed mosdegrees are altered by one or more moschromas, using accidentals whose meaning and notation is made clear. As a diatonic example, mixolydian b6 can be written as 5L 2s 5| b6 (where the 6th degree is is a ordinal-indexed 6th, not a 0-indexed mosdegree), but for a non-diatonic example, mode 5| of 5L 3s with a 4-mosdegree lowered by a chroma is written as "5L 3s 5| @4d" (read as "5L 3s 5 pipe at-4-degree", where the "at/@" accidental is from diamond-mos notation).

Named mos modes

Many people, or groups of people, who have described individual mosses have independently came up with names for the mos's modes. The mosses listed below have named mos modes on their respective pages. (todo: add links)

  • 5-note mosses: 4L 1s
  • 7-note mosses: 1L 6s, 2L 5s, 3L 4s, 4L 3s, 5L 2s, and 6L 1s
  • 8-note mosses: 3L 5s, 5L 3s, and 7L 1s
  • 9-note mosses: 5L 4s and 7L 2s
  • 10-note mosses: 3L 7s

For mossess that no such mode names but a less mathematical name is desired, genchain mode numbering may be used, producing 1st xL ys, 2nd xL ys, and so on.

Sandboxed rewrite: Naming mos intervals and mos degrees

Already deployed on main TAMNAMS page: TAMNAMS#Naming mos intervals

Complements of intervals

The octave complement (or equave complement for mosses that don't have an octave equivalence interval, or simply complement) of a mos interval follows the same logic as the octave complement in regular music theory: in general, for a mos with n pitches, a k-mosstep in its large form has a complement of an (n-k)-mosstep in its small form, and the two intervals are complements of one another. Alternatively, if a specific mos interval is thought of as a quantity of large and small steps, then its complement is the number of steps needed to produce the mos pattern of xL ys itself. Additionally, if a mos interval is also altered by raising it by some number of chromas, its complement will be lowered by the same number of chromas, and vice-versa.

Interval complements of 3L 4s
Interval Complement
Name Size Name Size
Perfect 0-mosstep (unison) 0 Perfect 7-mosstep (octave) 3L+4s
Major 1-mosstep L Minor 6-mosstep 2L+4s
Perfect 2-mosstep L+s Diminished 5-mosstep 2L+3s
Major 3-mosstep 2L+s Minor 4-mosstep 1L+3s
Major 4-mosstep 2L+2s Minor 3-mosstep 1L+2s
Augmented 5-mosstep 3L+2s Perfect 2-mosstep 2s
Major 6-mosstep 3L+3s Minor 1-mosstep s
Perfect 7-mosstep (octave) 3L+4s Perfect 0-mosstep (unison) 0

Sandboxed rewrite: Mos pattern names

Reasoning for names

See: TAMNAMS#Reasoning for the names

The goal of TAMNAMS mos names is to choose memorable but aesthetically neutral names.

Names for small mosses

All names for single-period mosses (mosses of the form xL ys where x and y are coprime) with no more than 5 notes require that some small integer multiple of the period is equal to an octave or a tempered octave, under the reasoning that these mosses are common and broad enough that they may be of interest in non-octave contexts. As such, the names for these mosses are chosen to be extremely general to avoid bias and to avoid being too flavorful, and to allow these names to be reused for such non-octave contexts.

The names of monowood and biwood, for 1L 1s and 2L 2s respectively, requires that an equivalence interval be an octave, whereas the name trivial, also referring to 1L 1s, is equave-agnostic and may be used for non-octave contexts.

Names for multi-period mosses

Multi-period mosses (mosses of the form xL ys where x and y have a greatest common factor of 2 or greater) are given unique names that do not depend on the name of a smaller, octave-specific mos. The inclusion of such mos names was for completeness, which prompted reconsiderations on how these mosses were named. These mosses were formerly named using names that were octave-specific, producing former names such as "antidimanic" and "dipentic".

Names based on a temperament

All names ending in -oid refer to an exotemperament which, when including extreme tunings, covers the entire range of the corresponding octave-period mos, such that many edos with simple step ratios for that mos will correspond to valid tunings, if not by patent val, then with a small number of warts.

Former names like "orwelloid" and "sensoid" were abandoned because the names were too temperament-specific in the sense that even considering extreme tunings didn't cover the whole range of the mos. The remaining temperament-based names have been abstracted or altered heavily, namely "pine", "hyrulic", "jaric", "ekic" and "lemon".

Names for 1L ns mosses

Mosses of the form 1L ns were originally left unnamed as the range for their generator was too broad and such mosses were considered better analyzed as subsets of its (n+1)L 1s mos. An example of this is 1L 6s and 7L 1s, a pair of mosses that are commonly associated with porcupine temperament.

Although the tuning range is very unhelpful for knowing what such mosses will sound like, it is nonetheless useful for describing structure in situations where one does not want to use the mathematical name of 1L ns, especially given that in such situations the tuning will likely be specified somewhere already, hence the inclusion of these mos names.

This inclusion also affected the names of multi-period mosses. 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 (with their parent mos of 4L 2s named citric for consistency).

The anti- prefix vs the an- prefix for naming 1L ns mosses

The distinction between using the prefixes "anti-" vs "an-" for reversing the number of large vs. small steps is not as trivial as it may sound.

In the case of mosses with six or more notes, as the period is always an octave, there is a very large tuning range for the 1L ns mosses (hence their original omission), but the "anti-" prefix shows that what is significant is that it has the opposite structure to the corresponding nL 1s mos while pointing out the resulting ambiguity of range.

In the case of mosses with five or fewer notes, as the period is not known and therefore could be very small, this is not as much of a concern as fuller specification is likely required anyway, especially in the case of larger periods, so the name should not be tediously long as the name refers to a very simple mos pattern, and for related reasons, the name shouldn't give as much of a sense of one 'orientation' of the structure being more 'primary' than the other, while with mosses with more than five notes, this suggestion of sense is very much intended, because it will almost always make more sense to talk about the (n+1)L 1s child mos of whatever 1L ns mos you want to speak of.

Names for mosses with more than 10 notes

The scope of TAMNAMS name is to give mosses with small note count a notable name. To keep the number of names controlled, only mosses with no more than 10 notes are named. As a result, the names of mosses with 11 and 12 notes were abandoned, notably the names kleistonic, suprasmitonic, m-chromatic, and p-chromatic.

Step ratio spectrum visualization

I wanted to make a table that better visualizes the step ratio ranges as described by TAMNAMS.

Central spectrum

Central spectrum of step ratios
Intermediate ranges Specific step ratios Notes
1:1 (equalized) Trivial/pathological
1:1 to 1:0 1:1 to 2:1 (general soft range) 1:1 to 3:2 1:1 to 4:3 (ultrasoft) Step ratios especially close to 1:1 may be called pseudoequalized
4:3 (supersoft)
4:3 to 3:2 (parasoft)
3:2 (soft) Also called monosoft
3:2 to 2:1 (hyposoft) 3:2 to 5:3 (quasisoft)
5:3 (semisoft)
5:3 to 2:1 (minisoft)
2:1 (basic) Also called quintessential
2:1 to 1:0 (general hard range) 2:1 to 3:1 (hypohard) 2:1 to 5:2 (minihard)
5:2 (semihard)
5:2 to 3:1 (quasihard)
3:1 (hard) Also called monohard
3:1 to 1:0 3:1 to 4:1 (parahard)
4:1 (superhard)
4:1 to 1:0 (ultrahard) Step ratios especially close to 1:0 may be called pseudocollapsed
1:0 (collapsed) Trivial/pathological

Extended spectrum

Extended spectrum of step ratios
Central ranges Extended ranges Specific step ratios Notes
1:1 (equalized) Trivial/pathological
1:1 to 1:0 1:1 to 2:1 (general soft range) 1:1 to 3:2 1:1 to 4:3 (ultrasoft) 1:1 to 6:5 (pseudoequalized)
6:5 (semiequalized)
6:5 to 4:3 (ultrasoft)
4:3 (supersoft) Nonextreme range, as detailed by central spectrum
4:3 to 3:2 (parasoft) 4:3 to 3:2 (parasoft)
3:2 (soft)
3:2 to 2:1 (hyposoft) 3:2 to 5:3 (quasisoft) 3:2 to 5:3 (quasisoft)
5:3 (semisoft)
5:3 to 2:1 (minisoft) 5:3 to 2:1 (minisoft)
2:1 (basic)
2:1 to 1:0 (general hard range) 2:1 to 3:1 (hypohard) 2:1 to 5:2 (minihard) 2:1 to 5:2 (minihard)
5:2 (semihard)
5:2 to 3:1 (quasihard) 5:2 to 3:1 (quasihard)
3:1 (hard)
3:1 to 1:0 3:1 to 4:1 (parahard) 3:1 to 4:1 (parahard)
4:1 (superhard)
4:1 to 1:0 (ultrahard) 4:1 to 10:1 (ultrahard) 4:1 to 6:1 (hyperhard)
6:1 (extrahard)
6:1 to 10:1 (clustered)
10:1 (semicollapsed)
10:1 to 1:0 (pseudocollapsed)
1:0 (collapsed) Trivial/pathological

Original table of extended TAMNAMS names (archived)

This is an attempt to describe various mosses that I feel are worth describing, based on experimenting with these scales or for completion. This contains unofficial scale names that try to be as close to existing names as possible and are not meant to be official or standard. The following table shows single-period mosses sorted by generation rather than note count. As of August 2022, much of this section is rendered unnecessary due to TAMNAMS names being reorganized and many scales being renamed, hence this section is kept for archival purposes.

Extended names are denoted with an asterisk. Named 1L ns (monolarge) scales are denoted using italics and are based on its sister scale with the anti- prefix added.

Mos Family Tree (single-period only), with TAMNAMS Names and extended names
Progenitor scale 1st-order child mosses 2nd-order child mosses 3rd-order child mosses 4th-order child mosses 5th-order child mosses
Steps Scale name Steps Scale name Steps Scale name Steps Scale name Steps Scale name Steps Scale name
1L 1s prototonic*

(currently monowood and trivial)

1L 2s antideuteric*

(currently antrial)

1L 3s antitetric*

(currently antetric)

1L 4s antimanic

(currently pedal)

1L 5s antimachinoid*

(currently antimachinoid)

1L 6s anti-archeotonic

(currently onyx)

6L 1s archeotonic
5L 1s machinoid 5L 6s
6L 5s
4L 1s manual

(formerly manic)

4L 5s gramitonic

(formerly orwelloid)

4L 9s
9L 4s
5L 4s semiquartal 5L 9s
9L 5s
3L 1s tetric 3L 4s mosh 3L 7s sephiroid 3L 10s
10L 3s
7L 3s dicoid

(formerly dicotonic)

7L 10s
10L 7s
4L 3s smitonic 4L 7s (formerly kleistonic) 4L 11s
11L 4s
7L 4s (formerly suprasmitonic) 7L 11s
11L 7s
2L 1s deuteric*

(currently trial)

2L 3s pentic 2L 5s antidiatonic 2L 7s balzano

(formerly joanatonic)

2L 9s
9L 2s
7L 2s superdiatonic 7L 9s
9L 7s
5L 2s diatonic 5L 7s (formerly p-chromatic) 5L 12s s-enharmonic*
12L 5s p-enharmonic*
7L 5s (formerly m-chromatic) 7L 12s f-enharmonic*
12L 7s m-enharmonic*
3L 2s antipentic 3L 5s checkertonic

(formerly sensoid)

3L 8s 3L 11s
11L 3s
8L 3s 8L 11s
11L 8s
5L 3s oneirotonic 5L 8s 5L 13s
13L 5s
8L 5s 8L 13s
13L 8

Extended mos pattern names (fewer than 5 steps, archived)

As of August 14, 2022, all of these scales have been named. These descriptions are kept for archival purposes.

Parent scale 1st-order child scales 2nd-order child scales
Steps Originally proposed name Current name Notes Steps Originally proposed name Current name Notes Steps Originally proposed name Current name Notes
1L 1s prototonic, protic, or monowood monowood and trivial The progenitor scale of all single-period mosses.

Despite being a monolarge scale, it's also its own sister and is named regardless.

The current name "monowood" comes from nL ns scales (such as pentawood for 5L 5s), and is used as a base for such scales. The name trivial comes from the fact that this is a trivial (octave-equivalent) scale, consisting of only its generators.

1L 2s antideuterotonic or antideuteric antrial One of the child scales of 1L 1s.

Being a monolarge scale, tetric (3L 1s) may be more worth considering as a parent scale.

1L 3s antitetric antetric Monolarge scale. Similarly to 3L 1s with 1L 2s, 4L 1s may be worth considering as a parent scale.
3L 1s tetric tetric Parent scale to orwelloid (now gramitonic) and semiquartal, the name tetric is assigned similarly to pentic being the parent of diatonic and antidiatonic.
2L 1s deuterotonic or deuteric trial One of the child scales of 1L 1s. 2L 3s - pentic Already established name.
3L 2s - antipentic Already established name.

Proposal: Naming mosses with more than 10 steps (work-in-progress)

See: User:Ganaram inukshuk/TAMNAMS Extension

Changes to mos names

Which mosses are worth naming?

Updates to TAMNAMS around 2022 have imposed a maximum step count of 10. I'm arguing there should be a minimum note count 6 for the following reasons:

  • Mosses with step counts less than 6 have generator ranges so broad that they encompass multiple temperaments and can be expanded to multiple mosses.
  • Mosses 1L 1s, 1L 2s, and 2L 1s have extremely broad generator ranges that it may be difficult to generalize anything about them, let alone compose with them.
  • The parents of most of the mosses with note counts 6-10 are mosses with 4-5 notes, so to denote these mosses, it may be better to think of these parents as subsets of those larger mosses instead. When people compose with 2L 3s, for example, they don't invent entirely new notation for that; instead, they use notation for 5L 2s and skip two of the notes.
    • 1L 3s, parent of 1L 5s and 5L 1s
    • 3L 1s, parent of 3L 4s and 4L 3s
    • 1L 5s, parent of 1L 6s and 6L 1s
    • 2L 3s, parent of 2L 5s and 5L 2s
    • 3L 2s, parent of 3L 5s and 5L 3s
    • 4L 1s, parent of 4L 5s and 5L 4s
  • The names for these small mosses differ from the other mos names in that they're meant to be equave-agnostic. It's not that these names would go away; rather, they'd be going somewhere else. (Where is not known at the moment.)
    • The mos module doesn't even include these names, apart from monowood and biwood.

Proposed style guide

The following is a proposed guide for naming mosses, based on patterns gleamed from existing mosses. There are also exceptions to these rules.

  1. Names for single-period mosses with 5 or fewer notes are the most general names, not limited to an equivalence interval of an octave, and end with -ic or -al. These should be the only mosses that contain the anti- prefix, shortened to an-.
    1. Monowood is an exception in that it does not end with -ic or -al.
  2. Names for single-period mosses not of the form 1L ns end with -tonic, suggesting that these are octave-specific and reference a specific interval, or a notable pre-TAMNAMS or other temperament-agnostic name.
    1. Temperament-based names may be justified if it applies to a mos with a sufficiently narrow generator range, or if no other naming options are available. Such names should end with -oid.
    2. Mosh, semiquartal, balzano, and pine are exceptions to this rule.
  3. Single-period mosses of the form 1L ns with 6 or more notes are named after minerals and gemstones.
    1. This requires renaming existing mosses, namely antimachinoid, antipine, antisubneutralic, and antisinatonic.
  4. Multi-period mos names should bear the -ic suffix.
    1. All of the wood mosses are exceptions to this rule, as are lemon, lime, and tcherepnin.
  5. With the exception of mosses named under rule 1, mosses should avoid having additional prefixes if possible, such as anti-, sub-, or super-, and mosses should avoid sharing the same word stem unless the mosses in question are related in some way.
    1. Sets of mosses that share a relationship with one another include the following: subaric, jaric, and taric; monowood, biwood, triwood, tetrawood, pentawood; antidiatonic and diatonic (in that they're sister mosses)

Changes to existing names

This section describes changes to existing TAMNAMS names that I would make, given the proposal described in the previous section and the following reasons:

  • Some names are still based on a temperament (mainly the -oid names), so those are either replaced with a new name or at least altered so the references are more indirect.
  • There were Discord users with whom I shared a similar sentiment regarding the names of certain scales, mainly the mosses with the anti- prefix and the scales antidiatonic and superdiatonic.
  • Some names are too long (in my opinion).

The choice of names are not perfect and some may have issues. Some name suggestions went through different versions. This section is meant to start a discussion on alternate names should a need come up for it. Some of these suggestions may be outdated as TAMNAMS names change, rendering such suggestions unnecessary; notes regarding such changes are in bold.

Table of proposed name changes
Proposals for octave-specific mosses currently referred to by equave-agnostic names
Mos Current name Suggested name(s) Reasoning Possible issues and other notes
Name Prefix Abbrev. Name Prefix Abbrev.
1L 3s antetric The names in this category are not replacements, but octave-specific proposals.

Names for these mosses are based on the base terms "pentoid" and "tetroid" and have appropriate prefixes added. Specifically:

  • For diapentoid, the prefix dia- is chosen, as it refers to both diatonic and, indirectly, antidiatonic.
  • For mechpentoid, the prefix mech- is chosen for the same reason as dia-.
  • For smotetroid, the prefix smo- is chosen as it combines the prefixes of mosh- and smi-.
3L 1s tetric smotetroid
1L 4s pedal mechpentoid
4L 1s manual
2L 3s pentic diapentoid
3L 2s anpentic
Changes to names that bear a prefix (anti-, sub-, etc) (most justifiable changes)
Mos Current name Suggested name(s) Reasoning Possible issues and other notes
Name Prefix Abbrev. Name Prefix Abbrev.
1L 5s antimachinoid amech- amech selenite or moonstone sel- or moon- sel or moon Shorter names. These names follow in the same spirit as "onyx" for 1L 6s in the following ways:
  • "Selenite" is a mineral and is Greek for "moon", indirectly referencing luna temperament, as does "moonstone".
  • "Spinel" contains the word "pine", referencing its sister mos of "pine".
  • Depending on pronunciation, the word "agate" may rhyme with "eight".
  • Depending on pronunciation, the word "olivine" may rhyme with "nine".
 Puns; dependent on pronunciation, which may vary.

A compromise is to recognize both the current and proposed names:

  • 1L 5s: antimachinoid, selenite
  • 1L 6s: antiarcheotonic (new name), onyx
  • 1L 7s: antipine, spinel
  • 1L 8s: antisubneutralic, agate
  • 1L 9s: antisinatonic, olivine
1L 7s antipine apine- apine spinel spin- spin
1L 8s antisubneutralic ablu- ablu agate aga- or agat- aga
1L 9s antisinatonic asina- asi olivine oli oli
2L 5s antidiatonic pel- pel pelotonic unchagned unchagned Option 1: make 2L 5s more distinct from 5L 2s. This mirrors a few Discord users' sentiments regarding this scale in that it should not be treated as an "inversion" of 5L 2s but should be treated as something unique. Connections to 5L 2s may be beneficial to musicians, and this connection already exists for mavila.

Hairtonic.

adiatonic adia- adia. Option 2: leave it as-is but change the prefix to adia-. May be too minor of a change.
8L 1s subneutralic blu- blu azurtonic azu- or unchanged azu or unchanged An indirect reference to bleu temperament; azure is a specific shade of blue. Simplified name. Also, the sub- prefix may falsely suggest another scale called "(prefix)neutralic", similar to how subaric (2L 6s) is the parent to both jaric (2L 8s) and taric (8L 2s). New name is referencing a temperament, albeit indirectly. The sub- prefix reasoning may be a stretch, since subaric, jaric, and taric are the only mosses related this way.
3L 2s antipentic apent- apt anpentic unchanged unchanged Makes the name more consistent with other an- mosses. Too minor of a modification. A possible compromise is to accept it as a spelling variant.
Changes to names to reduce or remove references to temperaments (least justifiable changes)
Mos Current name Suggested name(s) Reasoning Possible issues and other notes
Name Prefix Abbrev. Name Prefix Abbrev.
5L 1s machinoid mech- mech mechatonic unchagned unchagned A more indirect reference to machine temperament. Still references machine temperament. May also reference mechanism temperament. May be too minor of a modification.
3L 7s sephiroid seph- seph sephirotonic or sephiratonic unchagned unchagned Rather than alluding to sephiroth temperament, the name should allude to Peter Kosmorsky's Tractatum de Modi Sephiratorum (A Treatise on the Modes of the Sephirates), whose name ultimately comes from the sefirot. The document describes several edos that are said to contain the "modi sephiratorum" (sephirate modes). Therefore, instead of the name "sephiroid", suggesting that the mos pattern resembles the modi sephiratorum, the mos pattern is the modi sephiratorum, hence the mosname "sephirotonic". May still reference sephiroth temperament. For a more indirect reference, an alternate transliteration of סְפִירוֹת (sefirot) may be used instead.

New name is longer than the old name. May also be too minor of a modificaiton.

2L 6s subaric subar- subar baric bara- bar Rhymes perfectly with jaric and taric. May also mean "basic -aric", as this mos with a basic step ratio (L:s=2:1) cannot produce jaric or taric, or rather, produces both but equalized. Too minor of a modification. The use of "bar" as an abbreviation may be problematic ("bar" may also mean "measure" in sheet music).

Table of all proposed changes

Changed names are denoted in bold.

TAMNAMS mos names
Mosses with 2-5 notes are skipped entirely.
6-note mosses
Pattern Name Prefix[1] Abbr.[2] Etymology
1L 5s selenite; moonstone sel- sel indirect reference to luna temperament
2L 4s malic mal- mal apples have two concave ends, lemons have two pointy ends.
3L 3s triwood triwd- trw from 3-wood
4L 2s citric citro- cit parent mos of lemon and lime
5L 1s machinoid mech- mech from machine temperament
7-note mosses
Pattern Name Prefix[1] Abbr.[2] Etymology
1L 6s onyx on- on from a lot of naming puns
2L 5s antidiatonic pel- pel pel- is from pelog
3L 4s mosh mosh- mosh Graham Breed's name; from "mohajira-ish"
4L 3s smitonic smi- smi from "sharp minor third"
5L 2s diatonic dia- dia
6L 1s arch(a)eotonic arch- arch originally a name for 13edo's 6L 1s
8-note mosses
Pattern Name Prefix[1] Abbr.[2] Etymology
1L 7s spinel spin- sp contains the substring "pine"
2L 6s subaric subar- subar largest subset mos of jaric and taric
3L 5s checkertonic check- chk from the Kite guitar checkerboard scale
4L 4s tetrawood; diminished tetrawd- ttw from 4-wood
5L 3s oneirotonic oneiro- onei originally a name for 13edo's 5L 3s
6L 2s ekic ek- ek from temperaments echidna and hedgehog
7L 1s pine pine- pine from porcupine temperament
9-note mosses
Pattern Name Prefix[1] Abbr.[2] Etymology
1L 8s agate ag- ag rhymes with "eight", depending on one's pronunciation
2L 7s balzano bal- /bæl/ bal from Balzano scale in 20edo which is 2L 7s
3L 6s tcherepnin cher- ch 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 allusion to triforce temperament
7L 2s superdiatonic; armotonic arm- arm superdiatonic is a common name; arm- and armotonic references Armodue
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[1] Abbr.[2] Etymology
1L 9s olivine oli- oli rhymes with "nine", depending on one's pronunciation
2L 8s jaric jara- jar from temperaments pajara, injera and diaschismic
3L 7s sephiroid seph- seph from sephiroth temperament
4L 6s lime lime- lime limes/4L 6s's steps tend to be smaller than lemons/6L 4s's steps
5L 5s pentawood pentawd- pw from 5-wood
6L 4s lemon lem- lem from lemba temperament
7L 3s dicoid /'daɪˌkɔɪd/ dico- dico from exotemperaments dichotic and dicot (dicoid)
8L 2s taric tara- tar from Hindi aṭhārah '18'
9L 1s sinatonic sina- si from sinaic
  1. ↑ 1.0 1.1 1.2 1.3 1.4 used in interval, degree and mode names, e.g. perfect 3-oneirostep, perfect 3-oneirodegree, oneiro-3-up
  2. ↑ 2.0 2.1 2.2 2.3 2.4 written abbreviations of prefixes, e.g. P3oneis, P3oneid, onei-3|4
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