TAMNAMS Extension: Difference between revisions

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This is a systematic extension for the [[TAMNAMS]] MOS scale naming system based on parent / grandparent relationships. It's intended for a user interface so that every MOS pattern has a memorable name. There's also a more [[User:Frostburn/TAMNAMS_Extension|euphonic version]] at least for [[User:Frostburn]]'s taste.
This is a systematic extension for the [[TAMNAMS]] MOS scale naming system based on relationships of a named mos (parent, grandparent, great-grandparent, etc). It's intended for a user interface so that every MOS pattern has a memorable name. There's also a more [[User:Frostburn/TAMNAMS_Extension|euphonic version]] at least for [[User:Frostburn]]'s taste.


== Diatonic family ==
== Naming mos descendants ==
This system introduces the following names for (grand)daughters of diatonic [[5L 2s]].
To name mosses that have more than 10 notes, names are based on how they're related to a parent mos (whether it's a child, grandchild, etc) and what step ratio produces that descendant, added as a prefix to the name. This section is currently work-in-progress and currently describes two systems devised by [[User:Frostburn/TAMNAMS Extension|Frostburn]] and [[User:Ganaram inukshuk/TAMNAMS Extension|Ganaram inukshuk]].
{| class="wikitable center-all"
 
|+ Diatonic family tree
{| class="wikitable"
|+ style="font-size: 105%;" | Base names
|-
!
! Child (1st descendant)
! Grandchild (2nd descendant)
! Great-grandchild (3rd descendant)
! ''k''th descendant
! Other notes
|-
! Frostburn's proposal
| (prefix)-chro (parent's name)
| (prefix)-enhar (grandparent's name)
| (prefix)-(great-grandparent's name)
|
|
|-
! Ganaram's proposal
| (prefix)-chromatic (mos-name)<br />(prefix)-(mos-prefix)chromatic
| (prefix)-enharmonic (mos-name)<br />(prefix)-(mos-prefix)enharmonic
| (prefix)-subchromatic (mos-name)<br />(prefix)-(mos-prefix)subchromatic
| ''k''th-descendant (mos-name)<br />''k''th-(mos-prefix)descendant
| Prefixes are optional.<br />Names are work-in-progress.
|}
 
{| class="wikitable"
|+ style="font-size: 105%;" | Step ratio prefixes
|-
! colspan="2" | Parent mos
! colspan="4" | Child (1st descendant)
! colspan="4" | Grandchild (2nd descendant)
! colspan="4" | Great-grandchild (3rd descendant)
|-
! rowspan="2" | Mos
! rowspan="2" | L:s range
! rowspan="2" | Mos
! colspan="2" | Prefix
! rowspan="2" | L:s range
! rowspan="2" | Mos
! colspan="2" | Prefix
! rowspan="2" | L:s range
! rowspan="2" | Mos
! colspan="2" | Prefix
! rowspan="2" | L:s range
|-
|-
!colspan=3| Daughters
! Frostburn
! Ganaram
! Frostburn
! Ganaram
! Frostburn
! Ganaram
|-
|-
! Pattern !! Name !! Notes
| rowspan="8" | {{nowrap|''x''L ''y''s}}
| rowspan="8" | 1:1 to 1:0
| rowspan="4" | (''x'' + ''y'')L xs
| rowspan="4" | m-
| rowspan="4" | s-
| rowspan="4" | 1:1 to 2:1<br />(general soft range)
| rowspan="2" | {{nowrap|(''x'' + ''y'')L (2''x'' + ''y'')s}}
| rowspan="2" | f-
| rowspan="2" | s-
| rowspan="2" | 1:1 to 3:2<br />(soft)
| {{nowrap|(''x'' + ''y'')L (3''x'' + 2''y'')s}}
| uso-
| us-
| 1:1 to 4:3<br />(ultrasoft)
|-
|-
| [[5L 7s]] || p-chromatic || Chromatic scale from pythagorean generator 3/2. S-chromatic is an alternative name.
| {{nowrap|(3''x'' + 2''y'')L (''x'' + ''y'')s}}
| paso-
| ps-
| 4:3 to 3:2<br />(parasoft)
|-
|-
| [[7L 5s]] || m-chromatic || Chromatic scale of [[meantone]]. F-chromatic is an alternative name.
| rowspan="2" | {{nowrap|(2''x'' + ''y'')L (''x'' + ''y'')s}}
| rowspan="2" | m-
| rowspan="2" | os-
| rowspan="2" | 3:2 to 2:1<br />(hyposoft)
| {{nowrap|(3''x'' + 2''y'')L (2''x'' + ''y'')s}}
| quso-
| qs-
| 3:2 to 5:3<br />(quasisoft)
|-
|-
!colspan=3| Granddaughters
| {{nowrap|(2''x'' + ''y'')L (3''x'' + 2''y'')s}}
| miso-
| ms-
| 5:3 to 2:1<br />(minisoft)
|-
|-
! Pattern !! Name !! Notes
| rowspan="4" | {{nowrap|''x''L (''x'' + ''y'')s}}
| rowspan="4" | p-
| rowspan="4" | h-
| rowspan="4" | 2:1 to 1:0<br />(general hard range)
| rowspan="2" | (2''x'' + ''y'')L xs
| rowspan="2" | p-
| rowspan="2" | oh-
| rowspan="2" | 2:1 to 3:1<br />(hypohard)
| {{nowrap|(2''x'' + ''y'')L (3''x'' + ''y'')s}}
| miha-
| mh-
| 2:1 to 5:2<br />(minihard)
|-
|-
| [[12L 5s]] || p-enharmonic || Enharmonic scale from 3/2 generator.
| {{nowrap|(3''x'' + ''y'')L (2''x'' + ''y'')s}}
| quha-
| qh-
| 5:2 to 3:1<br />(quasihard)
|-
|-
| [[5L 12s]] || s-enharmonic || Enharmonic scale of [[superpyth]].
| rowspan="2" | {{nowrap|''x''L (2''x'' + ''y'')s}}
| rowspan="2" | s-
| rowspan="2" | h-
| rowspan="2" | 3:1 to 1:0<br />(hard)
| (3''x'' + ''y'')L xs
| paha-
| ph-
| 3:1 to 4:1<br />(parahard)
|-
|-
| [[7L 12s]] || m-enharmonic || Enharmonic scale of meantone.
| {{nowrap|''x''L (3''x'' + ''y'')s}}
| uha-
| uh-
| 4:1 to 1:0<br />(ultrahard)
|}
 
== Other MOS families ==
=== Wood scales ===
Trivial multi-MOS scales of ''k'' periods (mosses of the form ''k''L ''k''s) are named '''''k''-wood''.''''' If ''k'' is greater than 5 and no greater than 12, these can be written out as ''(Greek numeral prefix)''wood, as shown in the table below.
 
{| class="wikitable"
|-
|-
| [[12L 7s]] || f-enharmonic || Enharmonic scale of [[flattone]].
! MOS
! Name
! Prefix
! Abbrev.
|-
|-
!colspan=3| Great-granddaughters
| 6L&nbsp;6s
| hexawood
| hexwd-
| hxw
|-
|-
! Pattern !! Name !! Notes
| 7L&nbsp;7s
| heptawood
| hepwd-
| hpw
|-
|-
| [[12L 17s]] || pythagotonic || Generator is 3/2. Small step is the [[Pythagorean comma]]
| 8L&nbsp;8s
| octawood
| octwd-
| ocw
|-
|-
| [[17L 12s]] || gothitonic || Generator falls in the [[Gentle region|neo-gothic range]].
| 9L&nbsp;9s
| enneawood
| ennwd-
| enw
|-
|-
| [[19L 12s]] || fauxarabian || One possible generator is double of neutral third [[11/9]] while the scale still sounds neutral
| 10L&nbsp;10s
| decawood
| decwd-
| dkw
|-
|-
| [[12L 19s]] || fauxrussian || Faux-cyrilic font is the "opposite" of faux-arabic
| 11L&nbsp;11s
| hendecawood
| hedwd-
| hdw
|-
|-
| [[17L 5s]] || protofractalic || Daughter scales exhibit fractal-like acoustic effects
| 12L&nbsp;12s
| dodecawood
| dodwd-
| ddw
|-
|-
| [[5L 17s]] || reinhardic || Possible generator [[50/33]] is similar to 5edo's fifth (Reinhard notation)
| 13L&nbsp;13s
| 13-wood
| 13wd-
| 13w
|-
|-
| [[19L 7s]] || velic || Possible generator [[112/75]] is called the mar'''velous''' fifth
| 14L&nbsp;14s
| 14-wood
| 14wd-
| 14w
|-
|-
| [[7L 19s]] || siskoic || Play on words: ''Veli'' means brother in Finnish and ''sisko'' means sister.
| ''k''L&nbsp;''k''s
| ''k''-wood
| ''k''wd
| ''k''w
|}
 
=== Diatonic family ===
This system introduces the following names for (grand)daughters of diatonic [[5L&nbsp;2s]].
 
{| class="wikitable center-all"
|+ style="font-size: 105%;" | Diatonic family tree
|-
|-
!colspan=3| Great-great-granddaughters
! colspan="3" | Daughters
|-
|-
! Pattern !! Name !! Notes
! Pattern !! Name !! Notes
|-
|-
| [[12L 29s]] || pythamystonic || Generator is 3/2. Large step is [[29-comma|mystery comma]]. Small step is pythagorean comma.
| [[5L&nbsp;7s]] || p-chromatic || Chromatic scale from pythagorean generator 3/2. S-chromatic is an alternative name.
|-
|-
| [[29L 12s]] || antipythamystonic ||
| [[7L&nbsp;5s]] || m-chromatic || Chromatic scale of [[meantone]]. F-chromatic is an alternative name.
|-
|-
| [[12L 31s]] || fauxmuscovian || Parent is fauxrussian. Muscovy is a sub region of Russia.
! colspan="3" | Granddaughters
|-
|-
| [[31L 12s]] || fauxsiberian || Parent is fauxrussian. Siberia is a sub region of Russia.
! Pattern !! Name !! Notes
|-
|-
| [[19L 31s]] || fauxsaudi || Parent is fauxarabian. Saudis live in a sub region of Arabia.
| [[12L&nbsp;5s]] || p-enharmonic || Enharmonic scale from pythagorean generator.
|-
|-
| [[31L 19s]] || fauxomani || Parent is fauxarabian. Omani live in a sub region of Arabia.
| [[5L&nbsp;12s]] || s-enharmonic || Enharmonic scale of [[superpyth]].
|-
|-
| [[22L 17s]] || fractalic || Exhibits fractal-like acoustic effects.
| [[12L&nbsp;7s]] || m-enharmonic || Enharmonic scale of meantone.
|-
|-
| [[17L 22s]] || antifractalic ||  
| [[7L&nbsp;12s]] || f-enharmonic || Enharmonic scale of [[flattone]].
|-
|-
| [[17L 29s]] || perotinic || Parent is gothitonic. Pérotin has been described as the first modern composer in the Western tradition.
! colspan="3" | Great-granddaughters
|-
|-
| [[29L 17s]] || martinic || Parent is gothitonic. Simone Martini influenced Gothic style painting.
! Pattern !! Name !! Notes
|-
|-
| [[19L 26s]] || veljentyttonic || Parent is velic. ''Veljentyttö'' means niece from the brother's side in Finnish.
| [[12L&nbsp;17s]] || pythagotonic || Generator is 3/2. Small step is the [[Pythagorean comma]]
|-
|-
| [[26L 19s]] || veljenpoikanic || Parent is velic. ''Veljenpoika'' means nephew from the brother's side in Finnish.
| [[17L&nbsp;12s]] || gothitonic || Generator falls in the [[Gentle region|neo-gothic range]].
|-
|-
| [[7L 26s]] || siskontyttonic || Parent is siskoic. ''Siskontyttö'' means niece from the sister's side in Finnish.
| [[19L&nbsp;12s]] || fauxarabian || One possible generator is double of neutral third [[11/9]] while the scale still sounds neutral
|-
|-
| [[26L 7s]] || siskonpoikanic || Parent is siskoic. ''Siskonpoika'' means nephew from the sister's side in Finnish.
| [[12L&nbsp;19s]] || fauxrussian || Faux-cyrilic font is the "opposite" of faux-arabic
|-
|-
| [[5L 22s]] || reinatonic || Parent is reinhardic.
| [[17L&nbsp;5s]] || protofractalic || Daughter scales exhibit fractal-like acoustic effects
|-
|-
| [[22L 5s]] || antireinatonic || Parent is reinhardic.
| [[5L&nbsp;17s]] || reinhardic || Possible generator [[50/33]] is similar to 5edo's fifth (Reinhard notation)
|-
|-
!colspan=3| Great-great-great-granddaughters
| [[19L&nbsp;7s]] || velic || Possible generator [[112/75]] is called the mar'''velous''' fifth
|-
| [[7L&nbsp;19s]] || siskoic || Play on words: ''Veli'' means brother in Finnish and ''sisko'' means sister.
|-
! colspan="3" | Great-great-granddaughters
|-
|-
! Pattern !! Name !! Notes
! Pattern !! Name !! Notes
|-
|-
| [[41L 12s]] || pythomerc || Generator is 3/2. Transitional scale between ones dominated by pythagorean and mercator commas.
| [[12L&nbsp;29s]] || pythamystonic || Generator is 3/2. Large step is [[29-comma|mystery comma]]. Small step is pythagorean comma.
|-
|-
|}
| [[29L&nbsp;12s]] || antipythamystonic ||
 
|-
== Woods ==
| [[12L&nbsp;31s]] || fauxmuscovian || Parent is fauxrussian. Muscovy is a sub region of Russia.
Trivial multi-MOS scales of n periods are named '''n-wood''' or spelled out resulting in: hexawood, septawood, octawood, nonawood and decawood.
 
== Daughter scales ==
Rest of the MOS scales up to 10 notes are treated similarly to diatonic using the shorthand ''chro'' for ''chromatic''. If the parent scale of a basic MOS scale is hard the name is ''p-chro (parent's name)'' e.g. ''p-chro machinoid'' for [[5L 6s]] (''s-chro machinoid'' is an alternative). On the other hand if the parent scale of a basic MOS is soft the name is ''m-chro (parent's name)'' e.g. ''m-chro machinoid'' for [[6L 5s]] (''f-chro machinoid'' is an alternative).
 
== Granddaughter scales ==
Granddaughters are analogues of m-enharmonic, f-enharmonic, p-enharmonic and s-enharmonic. The system's shorthand for ''enharmonic'' is ''enhar''.
{| class="wikitable center-all"
|-
|-
!colspan=2 | Basic granddaughter scales
| [[31L&nbsp;12s]] || fauxsiberian || Parent is fauxrussian. Siberia is a sub region of Russia.
|-
|-
! Grandparent step-ratio !! Name scheme
| [[19L&nbsp;31s]] || fauxsaudi || Parent is fauxarabian. Saudis live in a sub region of Arabia.
|-
|-
| 4:3 || m-enhar (grandparent's name)
| [[31L&nbsp;19s]] || fauxomani || Parent is fauxarabian. Omani live in a sub region of Arabia.
|-
|-
| 5:3 || f-enhar (grandparent's name)
| [[22L&nbsp;17s]] || fractalic || Exhibits fractal-like acoustic effects.
|-
|-
| 5:2 || p-enhar (grandparent's name)
| [[17L&nbsp;22s]] || antifractalic ||  
|-
|-
| 4:1 || s-enhar (grandparent's name)
| [[17L&nbsp;29s]] || perotinic || Parent is gothitonic. Pérotin has been described as the first modern composer in the Western tradition.
|-
|-
|}
| [[29L&nbsp;17s]] || martinic || Parent is gothitonic. Simone Martini influenced Gothic style painting.
 
== Great-granddaughter scales ==
Great-granddaughters derive names from the hardness of the great-grandparent scale e.g. minisoft becomes miso.
{| class="wikitable center-all"
|-
|-
!colspan=2 | Basic great-granddaughter scales
| [[19L&nbsp;26s]] || veljentyttonic || Parent is velic. ''Veljentyttö'' means niece from the brother's side in Finnish.
|-
|-
! Great-grandparent step-ratio !! Name scheme
| [[26L&nbsp;19s]] || veljenpoikanic || Parent is velic. ''Veljenpoika'' means nephew from the brother's side in Finnish.
|-
|-
| 5:4 || uso-(great-grandparent's name)
| [[7L&nbsp;26s]] || siskontyttonic || Parent is siskoic. ''Siskontyttö'' means niece from the sister's side in Finnish.
|-
|-
| 7:5 || paso-(great-grandparent's name)
| [[26L&nbsp;7s]] || siskonpoikanic || Parent is siskoic. ''Siskonpoika'' means nephew from the sister's side in Finnish.
|-
|-
| 8:5 || quso-(great-grandparent's name)
| [[5L&nbsp;22s]] || reinatonic || Parent is reinhardic.
|-
|-
| 7:4 || miso-(great-grandparent's name)
| [[22L&nbsp;5s]] || antireinatonic || Parent is reinhardic.
|-
|-
| 7:3 || miha-(great-grandparent's name)
! colspan="3" | Great-great-great-granddaughters
|-
|-
| 8:3 || quha-(great-grandparent's name)
! Pattern !! Name !! Notes
|-
|-
| 7:2 || paha-(great-grandparent's name)
| [[12L&nbsp;41s]]
| antipythomerc
|  
|-
|-
| 5:1 || uha-(great-grandparent's name)
| [[41L&nbsp;12s]] || pythomerc || Generator is 3/2. Transitional scale between ones dominated by pythagorean and mercator commas.
|-
|-
|}
|}


Here's a sample of some scales this family-tree based system assigns names to.
== Other MOS names ==
 
=== Specific names for mosses with 11 to 15 notes ===
{| class="wikitable center-all"
{| class="wikitable"
|+ TAMNAMS family-tree mos names
|-
! colspan="4" | 11-note mosses
|-
! Pattern
! Suggested name(s)
! Proposed by
! Reasoning
|-
| 1L&nbsp;10s
| tanzanite or tenorite
| [[User:Ganaram inukshuk|Ganaram inukshuk]]
| More naming puns ('''ten'''zanite or '''ten'''orite). Prefix is tan-.
|-
| 4L&nbsp;7s
| kleistonic
|
| Restoration of a noteworthy, former name. References the [[kleismic family]] of temperaments. Prefix is klei-.<br />Extension name is p-chro smitonic, hard-chromatic smitonic, or hard smichromatic, depending on scheme.
|-
| rowspan="2" | 7L&nbsp;4s
| suprasmitonic
|
| Restoration of a noteworthy, former name.<br />Extension name is m-chro smitonic, soft-chromatic smitonic, or soft smichromatic, depending on scheme. Prefix is susmi-.
|-
| daemotonic
| [[User:Eliora|Eliora]]
| Various reasons; see [[7L&nbsp;4s]].
|-
| rowspan="2" | 9L&nbsp;2s
| villatonic
| [[User:Ganaram inukshuk|Ganaram inukshuk]]
| Indirectly references avila and casablanca temperaments. Prefix is vil-.
|-
| ultradiatonic, superarmotonic
| [[User:CompactStar|CompactStar]]
| In reference to diatonic and armotonic.
|-
! colspan="4" | 12-note mosses
|-
|-
!colspan=2| 11-note mosses
! Pattern
! Suggested name(s)
! Proposed by
! Reasoning
|-
|-
! Pattern !! Name
| 1L&nbsp;11s
| helenite
| [[User:Ganaram inukshuk|Ganaram inukshuk]]
| In reference to the "ele" substring found in the word "eleven". Prefix is hel-.
|-
|-
| [[1L 10s]] || p-chro antisinatonic
| 5L&nbsp;7s
| p-chromatic
|
| Restoration of a noteworthy, former name.
|-
|-
| [[2L 9s]] || p-chro balzano
| 6L&nbsp;6s
| hexawood
|  
| Extension of -wood scales; coincidentally references hexe temperament.
|-
|-
| [[3L 8s]] || p-chro checkertonic
| 7L&nbsp;5s
| m-chromatic
|  
| Restoration of a noteworthy, former name.
|-
|-
| [[4L 7s]] || p-chro smitonic
! colspan="4" | 13-note mosses
|-
|-
| [[5L 6s]] || p-chro machinoid
! Pattern
! Suggested name(s)
! Proposed by
! Reasoning
|-
|-
| [[6L 5s]] || m-chro machinoid
| 1L&nbsp;12s
| zircon
| [[User:Ganaram inukshuk|Ganaram inukshuk]]
| Zircon is used as a birthstone for December. Prefix is zir-.
|-
|-
| [[7L 4s]] || m-chro smitonic
| 11L&nbsp;2s
| hendecoid
| [[User:Eliora|Eliora]]
| From Greek "eleven"; references how "its generator is so close to 11/8 as to be called nothing but that" and that it has 11 large steps. Prefix is hen-.
|-
|-
| [[8L 3s]] || m-chro checkertonic
! colspan="4" | 14-note mosses
|-
|-
| [[9L 2s]] || m-chro balzano
! Pattern
! Suggested name(s)
! Proposed by
! Reasoning
|-
|-
| [[10L 1s]] || m-chro antisinatonic
| 7L&nbsp;7s
| heptawood
|  
| Extension of -wood scales.
|-
|-
!colspan=3| 12-note mosses
| 13L&nbsp;1s
| trollic
| [[User:Godtone|Godtone]]
| The name proposed by Godtone refers to 12L&nbsp;1s, but it refers to 13L&nbsp;1s as a troll move. Prefix is tro-.
|}
 
=== Other names for mosses with 16 or more notes ===
{| class="wikitable"
|-
|-
! Pattern !! Name
! colspan="5" | Other higher note count mosses
|-
|-
| [[1L 11s]] || s-enhar antisinatonic
! Note count
! Pattern
! Suggested name(s)
! Proposed by
! Reasoning
|-
|-
| [[2L 10s]] || p-chro jaric
| 17
| 2L&nbsp;15s
| liesic
| [[User:Frostburn|Frostburn]]
| Frostburn's naming scheme only goes up to 3 generations, so this name is suggested. Prefix is lisa-.
|-
|-
| [[3L 9s]] || p-chro tcherepnin
| rowspan="2" | 19
| 3L&nbsp;16s
| magicaltonic
| [[User:Xenllium|Xenllium]]
| In reference to magic temperament.
|-
|-
| [[4L 8s]] || p-chro tetrawood
| 16L&nbsp;3s
| muggletonic
| [[User:Xenllium|Xenllium]]
| In reference to muggle temperament.
|-
|-
| [[8L 4s]] || m-chro tetrawood
| 20
| 3L&nbsp;17s
| apritonic
| [[User:Frostburn|Frostburn]]
| A [[User:Frostburn/History_of_Apritonic|meme]] referencing Apricot XEN computers.
|-
|-
| [[9L 3s]] || m-chro tcherepnin
| 21
| 10L&nbsp;11s
| miracloid
| [[User:Eliora|Eliora]]
| In reference to miracle temperament.
|-
|-
| [[10L 2s]] || m-chro jaric
| rowspan="3" | 22
| 3L&nbsp;19s
| zheligowskic
| [[User:Frostburn|Frostburn]]
| In reference to Lucjan Żeligowski leading fights against the town of Giedraičiai. Proposed prefix is "zheli-".
|-
|-
| [[11L 1s]] || p-enhar antisinatonic
| 19L&nbsp;3s
| giedraitic
| [[User:Frostburn|Frostburn]]
| Named after the basic magic layout of [[Kite Giedraitis]]' [[Kite guitar|guitar]]. Proposed prefix is "kai-".
|-
|-
| 21L&nbsp;1s
| escapist
| [[User:Eliora|Eliora]]
| References escapade temperament, which is supported by both 21edo and 22edo, covering the entire range.
|-
| 23
| 22L&nbsp;1s
| quartismoid
| [[User:Eliora|Eliora]]
| Five generators of roughly 33/32 quartertone are equal to 7/6 in the harmonic entropy minimum; also, the extreme ranges of 22edo and 23edo both support this mos.
|}
|}
== Trollic ==
Trollic is a name given to [[12L 1s]] by [[User:Godtone|Godtone]], but in order to troll even further the name is given to [[13L 1s]] instead.
== Liesic ==
The scheme would run out of names at 17-notes so liesic is a name given to [[2L 15s]] based on [[liese]] temperament to patch one more hole.
== Giedraitic ==
Giedraitic is a name given to [[19L 3s]] in honor of the basic magic layout of [[Kite Giedraitis]]' [[Kite guitar|guitar]]. The prefix/stem ''kai'' comes from Kite's first name /kaɪt/ with the last /t/ removed. The anti-giedratic MOS is given the name zheligowskic in reference to [[Wikipedia:Lucjan_Żeligowski|Lucjan Żeligowski]] leading fights against the town of [[Wikipedia:Giedraičiai|Giedraičiai]].


== Table of MOS scales up to 22 notes ==
== Table of MOS scales up to 22 notes ==
The table below lists all MOS scales and their stems needed to generate everything with assignable names in the system.
The table below lists all MOS scales and their stems needed to generate everything with assignable names in the system.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+ TAMNAMS mos names extended
|+ style="font-size: 105%;" | TAMNAMS mos names extended
|-
|-
!colspan=3| 11-note mosses
! colspan="3" | 11-note mosses
|-
|-
! Pattern !! Name !! Prefix
! Pattern !! Name !! Prefix
|-
|-
| [[1L 10s]] || p-chro antisinatonic || ''none''
| [[1L&nbsp;10s]] || tanzanite<br />(p-chro antisinatonic) || tan
|-
|-
| [[2L 9s]] || p-chro balzano || ''none''
| [[2L&nbsp;9s]] || antivillatonic<br />(p-chro balzano) || anvil
|-
|-
| [[3L 8s]] || p-chro checkertonic || ''none''
| [[3L&nbsp;8s]] || p-chro checkertonic || ''none''
|-
|-
| [[4L 7s]] || p-chro smitonic || ''none''
| [[4L&nbsp;7s]] || kleistonic<br />(p-chro smitonic) || klei
|-
|-
| [[5L 6s]] || p-chro machinoid || ''none''
| [[5L&nbsp;6s]] || p-chro machinoid || ''none''
|-
|-
| [[6L 5s]] || m-chro machinoid || ''none''
| [[6L&nbsp;5s]] || m-chro machinoid || ''none''
|-
|-
| [[7L 4s]] || m-chro smitonic || ''none''
| [[7L&nbsp;4s]] || daemotonic<br />(m-chro smitonic) || susmi
|-
|-
| [[8L 3s]] || m-chro checkertonic || ''none''
| [[8L&nbsp;3s]] || m-chro checkertonic || ''none''
|-
|-
| [[9L 2s]] || m-chro balzano || ''none''
| [[9L&nbsp;2s]] || villatonic<br />(m-chro balzano) || vil
|-
|-
| [[10L 1s]] || m-chro antisinatonic || ''none''
| [[10L&nbsp;1s]] || antitanzanite<br />(m-chro antisinatonic) || antan
|-
|-
!colspan=3| 12-note mosses
! colspan="3" | 12-note mosses
|-
|-
! Pattern !! Name !! Prefix
! Pattern !! Name !! Prefix
|-
|-
| [[1L 11s]] || s-enhar antisinatonic || ''none''
| [[1L&nbsp;11s]] || helenite<br />(s-enhar antisinatonic) || hel
|-
|-
| [[2L 10s]] || p-chro jaric || ''none''
| [[2L&nbsp;10s]] || p-chro jaric || ''none''
|-
|-
| [[3L 9s]] || p-chro tcherepnin || ''none''
| [[3L&nbsp;9s]] || p-chro tcherepnin || ''none''
|-
|-
| [[4L 8s]] || p-chro tetrawood || ''none''
| [[4L&nbsp;8s]] || p-chro tetrawood || ''none''
|-
|-
| [[5L 7s]] || p-chromatic || pychro
| [[5L&nbsp;7s]] || p-chromatic || pychro
|-
|-
| [[6L 6s]] || hexawood || hexwd
| [[6L&nbsp;6s]] || hexawood || hexwd
|-
|-
| [[7L 5s]] || m-chromatic || mellow
| [[7L&nbsp;5s]] || m-chromatic || mellow
|-
|-
| [[8L 4s]] || m-chro tetrawood || ''none''
| [[8L&nbsp;4s]] || m-chro tetrawood || ''none''
|-
|-
| [[9L 3s]] || m-chro tcherepnin || ''none''
| [[9L&nbsp;3s]] || m-chro tcherepnin || ''none''
|-
|-
| [[10L 2s]] || m-chro jaric || ''none''
| [[10L&nbsp;2s]] || m-chro jaric || ''none''
|-
|-
| [[11L 1s]] || p-enhar antisinatonic || ''none''
| [[11L&nbsp;1s]] || antihelenite<br />(p-enhar antisinatonic) || anhel
|-
|-
!colspan=3| 13-note mosses
! colspan="3" | 13-note mosses
|-
|-
! Pattern !! Name !! Prefix
! Pattern !! Name !! Prefix
|-
|-
| [[1L 12s]] || uha-antisinatonic || ''none''
| [[1L&nbsp;12s]] || zircon<br />(uha-antisinatonic) || zir
|-
|-
| [[2L 11s]] || s-enhar balzano || ''none''
| [[2L&nbsp;11s]] || antihendecoid<br />(s-enhar balzano) || anhen
|-
|-
| [[3L 10s]] || p-chro sephiroid || ''none''
| [[3L&nbsp;10s]] || p-chro sephiroid || ''none''
|-
|-
| [[4L 9s]] || p-chro gramitonic || ''none''
| [[4L&nbsp;9s]] || p-chro gramitonic || ''none''
|-
|-
| [[5L 8s]] || p-chro oneirotonic || ''none''
| [[5L&nbsp;8s]] || p-chro oneirotonic || ''none''
|-
|-
| [[6L 7s]] || p-chro archeotonic || ''none''
| [[6L&nbsp;7s]] || p-chro archeotonic || ''none''
|-
|-
| [[7L 6s]] || m-chro archeotonic || ''none''
| [[7L&nbsp;6s]] || m-chro archeotonic || ''none''
|-
|-
| [[8L 5s]] || m-chro oneirotonic || ''none''
| [[8L&nbsp;5s]] || m-chro oneirotonic || ''none''
|-
|-
| [[9L 4s]] || m-chro gramitonic || ''none''
| [[9L&nbsp;4s]] || m-chro gramitonic || ''none''
|-
|-
| [[10L 3s]] || m-chro sephiroid || ''none''
| [[10L&nbsp;3s]] || m-chro sephiroid || ''none''
|-
|-
| [[11L 2s]] || p-enhar balzano || ''none''
| [[11L&nbsp;2s]] || hendecoid<br />(p-enhar balzano) || hen
|-
|-
| [[12L 1s]] || paha-antisinatonic || ''none''
| [[12L&nbsp;1s]] || antizircon<br />(paha-antisinatonic) || anzir
|-
|-
!colspan=3| 14-note mosses
! colspan="3" | 14-note mosses
|-
|-
! Pattern !! Name !! Prefix
! Pattern !! Name !! Prefix
|-
|-
| [[1L 13s]] || antrollic || antro
| [[1L&nbsp;13s]] || antrollic || antro
|-
|-
| [[2L 12s]] || s-enhar jaric || ''none''
| [[2L&nbsp;12s]] || s-enhar jaric || ''none''
|-
|-
| [[3L 11s]] || s-enhar checkertonic || ''none''
| [[3L&nbsp;11s]] || s-enhar checkertonic || ''none''
|-
|-
| [[4L 10s]] || p-chro lime || ''none''
| [[4L&nbsp;10s]] || p-chro lime || ''none''
|-
|-
| [[5L 9s]] || p-chro semiquartal || ''none''
| [[5L&nbsp;9s]] || p-chro semiquartal || ''none''
|-
|-
| [[6L 8s]] || p-chro ekic || ''none''
| [[6L&nbsp;8s]] || p-chro ekic || ''none''
|-
|-
| [[7L 7s]] || septawood || septwd
| [[7L&nbsp;7s]] || heptawood || heptwd
|-
|-
| [[8L 6s]] || m-chro ekic || ''none''
| [[8L&nbsp;6s]] || m-chro ekic || ''none''
|-
|-
| [[9L 5s]] || m-chro semiquartal || ''none''
| [[9L&nbsp;5s]] || m-chro semiquartal || ''none''
|-
|-
| [[10L 4s]] || m-chro lime || ''none''
| [[10L&nbsp;4s]] || m-chro lime || ''none''
|-
|-
| [[11L 3s]] || p-enhar checkertonic || ''none''
| [[11L&nbsp;3s]] || p-enhar checkertonic || ''none''
|-
|-
| [[12L 2s]] || p-enhar jaric || ''none''
| [[12L&nbsp;2s]] || p-enhar jaric || ''none''
|-
|-
| [[13L 1s]] || trollic || tro
| [[13L&nbsp;1s]] || trollic || tro
|-
|-
!colspan=3| 15-note mosses
! colspan="3" | 15-note mosses
|-
|-
! Pattern !! Name !! Prefix
! Pattern !! Name !! Prefix
|-
|-
| [[1L 14s]] || p-chro antrollic || ''none''
| [[1L&nbsp;14s]] || p-chro antrollic || ''none''
|-
|-
| [[2L 13s]] || uha-balzano || ''none''
| [[2L&nbsp;13s]] || uha-balzano || ''none''
|-
|-
| [[3L 12s]] || s-enhar tcherepnin || ''none''
| [[3L&nbsp;12s]] || s-enhar tcherepnin || ''none''
|-
|-
| [[4L 11s]] || s-enhar smitonic || ''none''
| [[4L&nbsp;11s]] || s-enhar smitonic || ''none''
|-
|-
| [[5L 10s]] || p-chro pentawood || ''none''
| [[5L&nbsp;10s]] || p-chro pentawood || ''none''
|-
|-
| [[6L 9s]] || p-chro hyrulic || ''none''
| [[6L&nbsp;9s]] || p-chro hyrulic || ''none''
|-
|-
| [[7L 8s]] || p-chro pine || ''none''
| [[7L&nbsp;8s]] || p-chro pine || ''none''
|-
|-
| [[8L 7s]] || m-chro pine || ''none''
| [[8L&nbsp;7s]] || m-chro pine || ''none''
|-
|-
| [[9L 6s]] || m-chro hyrulic || ''none''
| [[9L&nbsp;6s]] || m-chro hyrulic || ''none''
|-
|-
| [[10L 5s]] || m-chro pentawood || ''none''
| [[10L&nbsp;5s]] || m-chro pentawood || ''none''
|-
|-
| [[11L 4s]] || p-enhar smitonic || ''none''
| [[11L&nbsp;4s]] || p-enhar smitonic || ''none''
|-
|-
| [[12L 3s]] || p-enhar tcherepnin || ''none''
| [[12L&nbsp;3s]] || p-enhar tcherepnin || ''none''
|-
|-
| [[13L 2s]] || paha-balzano || ''none''
| [[13L&nbsp;2s]] || paha-balzano || ''none''
|-
|-
| [[14L 1s]] || m-chro antrollic || ''none''
| [[14L&nbsp;1s]] || m-chro antrollic || ''none''
|-
|-
!colspan=3| 16-note mosses
! colspan="3" | 16-note mosses
|-
|-
! Pattern !! Name !! Prefix
! Pattern !! Name !! Prefix
|-
|-
| [[1L 15s]] || s-enhar antrollic || ''none''
| [[1L&nbsp;15s]] || s-enhar antrollic || ''none''
|-
|-
| [[2L 14s]] || uha-jaric || ''none''
| [[2L&nbsp;14s]] || uha-jaric || ''none''
|-
|-
| [[3L 13s]] || s-enhar sephiroid || ''none''
| [[3L&nbsp;13s]] || s-enhar sephiroid || ''none''
|-
|-
| [[4L 12s]] || s-enhar tetrawood || ''none''
| [[4L&nbsp;12s]] || s-enhar tetrawood || ''none''
|-
|-
| [[5L 11s]] || s-enhar machinoid || ''none''
| [[5L&nbsp;11s]] || s-enhar machinoid || ''none''
|-
|-
| [[6L 10s]] || p-chro lemon || ''none''
| [[6L&nbsp;10s]] || p-chro lemon || ''none''
|-
|-
| [[7L 9s]] || p-chro superdiatonic || ''none''
| [[7L&nbsp;9s]] || p-chro superdiatonic || ''none''
|-
|-
| [[8L 8s]] || octawood || otcwd
| [[8L&nbsp;8s]] || octawood || octwd
|-
|-
| [[9L 7s]] || m-chro superdiatonic || ''none''
| [[9L&nbsp;7s]] || m-chro superdiatonic || ''none''
|-
|-
| [[10L 6s]] || m-chro lemon || ''none''
| [[10L&nbsp;6s]] || m-chro lemon || ''none''
|-
|-
| [[11L 5s]] || p-enhar machinoid || ''none''
| [[11L&nbsp;5s]] || p-enhar machinoid || ''none''
|-
|-
| [[12L 4s]] || p-enhar tetrawood || ''none''
| [[12L&nbsp;4s]] || p-enhar tetrawood || ''none''
|-
|-
| [[13L 3s]] || p-enhar sephiroid || ''none''
| [[13L&nbsp;3s]] || p-enhar sephiroid || ''none''
|-
|-
| [[14L 2s]] || paha-jaric || ''none''
| [[14L&nbsp;2s]] || paha-jaric || ''none''
|-
|-
| [[15L 1s]] || p-enhar antrollic || ''none''
| [[15L&nbsp;1s]] || p-enhar antrollic || ''none''
|-
|-
!colspan=3| 17-note mosses
! colspan="3" | 17-note mosses
|-
|-
! Pattern !! Name !! Prefix
! Pattern !! Name !! Prefix
|-
|-
| [[1L 16s]] || uha-antrollic || ''none''
| [[1L&nbsp;16s]] || uha-antrollic || ''none''
|-
|-
| [[2L 15s]] || liesic || lisa
| [[2L&nbsp;15s]] || liesic || lisa
|-
|-
| [[3L 14s]] || uha-checkertonic || ''none''
| [[3L&nbsp;14s]] || uha-checkertonic || ''none''
|-
|-
| [[4L 13s]] || s-enhar gramitonic || ''none''
| [[4L&nbsp;13s]] || s-enhar gramitonic || ''none''
|-
|-
| [[5L 12s]] || s-enharmonic || supen
| [[5L&nbsp;12s]] || s-enharmonic || supen
|-
|-
| [[6L 11s]] || m-enhar machinoid || ''none''
| [[6L&nbsp;11s]] || f-enhar machinoid || ''none''
|-
|-
| [[7L 10s]] || p-chro dicoid || ''none''
| [[7L&nbsp;10s]] || p-chro dicoid || ''none''
|-
|-
| [[8L 9s]] || p-chro subneutralic || ''none''
| [[8L&nbsp;9s]] || p-chro subneutralic || ''none''
|-
|-
| [[9L 8s]] || m-chro subneutralic || ''none''
| [[9L&nbsp;8s]] || m-chro subneutralic || ''none''
|-
|-
| [[10L 7s]] || m-chro dicoid || ''none''
| [[10L&nbsp;7s]] || m-chro dicoid || ''none''
|-
|-
| [[11L 6s]] || f-enhar machinoid || ''none''
| [[11L&nbsp;6s]] || m-enhar machinoid || ''none''
|-
|-
| [[12L 5s]] || p-enharmonic || pyen
| [[12L&nbsp;5s]] || p-enharmonic || pyen
|-
|-
| [[13L 4s]] || p-enhar gramitonic || ''none''
| [[13L&nbsp;4s]] || p-enhar gramitonic || ''none''
|-
|-
| [[14L 3s]] || paha-checkertonic || ''none''
| [[14L&nbsp;3s]] || paha-checkertonic || ''none''
|-
|-
| [[15L 2s]] || antiliesic || alisa
| [[15L&nbsp;2s]] || antiliesic || alisa
|-
|-
| [[16L 1s]] || paha-antrollic || ''none''
| [[16L&nbsp;1s]] || paha-antrollic || ''none''
|-
|-
!colspan=3| 18-note mosses
! colspan="3" | 18-note mosses
|-
|-
! Pattern !! Name !! Prefix
! Pattern !! Name !! Prefix
|-
|-
| [[1L 17s]] || ''none'' || ''none''
| [[3L&nbsp;15s]] || uha-tcherepnin || ''none''
|-
|-
| [[2L 16s]] || ''none'' || ''none''
| [[4L&nbsp;14s]] || s-enhar lime || ''none''
|-
|-
| [[3L 15s]] || uha-tcherepnin || ''none''
| [[5L&nbsp;13s]] || s-enhar oneirotonic || ''none''
|-
|-
| [[4L 14s]] || s-enhar lime || ''none''
| [[6L&nbsp;12s]] || p-chro hexawood || ''none''
|-
|-
| [[5L 13s]] || s-enhar oneirotonic || ''none''
| [[7L&nbsp;11s]] || f-enhar smitonic || ''none''
|-
|-
| [[6L 12s]] || p-chro hexawood || ''none''
| [[8L&nbsp;10s]] || p-chro taric || ''none''
|-
|-
| [[7L 11s]] || m-enhar smitonic || ''none''
| [[9L&nbsp;9s]] || enneawood || ennwd
|-
|-
| [[8L 10s]] || p-chro taric || ''none''
| [[10L&nbsp;8s]] || m-chro taric || ''none''
|-
|-
| [[9L 9s]] || nonawood || nonwd
| [[11L&nbsp;7s]] || m-enhar smitonic || ''none''
|-
|-
| [[10L 8s]] || m-chro taric || ''none''
| [[12L&nbsp;6s]] || m-chro hexawood || ''none''
|-
|-
| [[11L 7s]] || f-enhar smitonic || ''none''
| [[13L&nbsp;5s]] || p-enhar oneirotonic || ''none''
|-
|-
| [[12L 6s]] || m-chro hexawood || ''none''
| [[14L&nbsp;4s]] || p-enhar lime || ''none''
|-
|-
| [[13L 5s]] || p-enhar oneirotonic || ''none''
| [[15L&nbsp;3s]] || paha-tcherepnin || ''none''
|-
|-
| [[14L 4s]] || p-enhar lime || ''none''
! colspan="3" | 19-note mosses
|-
|-
| [[15L 3s]] || paha-tcherepnin || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[16L 2s]] || ''none'' || ''none''
| [[2L&nbsp;17s]] || p-chro liesic || ''none''
|-
|-
| [[17L 1s]] || ''none'' || ''none''
| [[3L&nbsp;16s]] || magicaltonic<br />(uha-sephiroid) || ''none''
|-
|-
!colspan=3| 19-note mosses
| [[4L&nbsp;15s]] || uha-smitonic || ''none''
|-
| [[5L&nbsp;14s]] || s-enhar semiquartal || ''none''
|-
| [[6L&nbsp;13s]] || s-enhar archeotonic || ''none''
|-
| [[7L&nbsp;12s]] || f-enharmonic || flaen
|-
| [[8L&nbsp;11s]] || f-enhar checkertonic || ''none''
|-
| [[9L&nbsp;10s]] || p-chro sinatonic || ''none''
|-
| [[10L&nbsp;9s]] || m-chro sinatonic || ''none''
|-
| [[11L&nbsp;8s]] || m-enhar checkertonic || ''none''
|-
| [[12L&nbsp;7s]] || m-enharmonic || meen
|-
| [[13L&nbsp;6s]] || p-enhar archeotonic || ''none''
|-
| [[14L&nbsp;5s]] || p-enhar semiquartal || ''none''
|-
| [[15L&nbsp;4s]] || paha-smitonic || ''none''
|-
| [[16L&nbsp;3s]] || muggletonic<br />(paha-sephiroid) || ''none''
|-
| [[17L&nbsp;2s]] || m-chro liesic || ''none''
|-
! colspan="3" | 20-note mosses
|-
|-
! Pattern !! Name !! Prefix
! Pattern !! Name !! Prefix
|-
|-
| [[1L 18s]] || ''none'' || ''none''
| [[4L&nbsp;16s]] || uha-tetrawood || ''none''
|-
|-
| [[2L 17s]] || p-chro liesic || ''none''
| [[5L&nbsp;15s]] || s-enhar pentawood || ''none''
|-
|-
| [[3L 16s]] || uha-sephiroid || ''none''
| [[6L&nbsp;14s]] || s-enhar ekic || ''none''
|-
|-
| [[4L 15s]] || uha-smitonic || ''none''
| [[7L&nbsp;13s]] || f-enhar archeotonic || ''none''
|-
|-
| [[5L 14s]] || s-enhar semiquartal || ''none''
| [[8L&nbsp;12s]] || f-enhar tetrawood || ''none''
|-
|-
| [[6L 13s]] || s-enhar archeotonic || ''none''
| [[9L&nbsp;11s]] || f-enhar balzano || ''none''
|-
|-
| [[7L 12s]] || m-enharmonic || meen
| [[10L&nbsp;10s]] || decawood || decwd
|-
|-
| [[8L 11s]] || m-enhar checkertonic || ''none''
| [[11L&nbsp;9s]] || m-enhar balzano || ''none''
|-
|-
| [[9L 10s]] || p-chro sinatonic || ''none''
| [[12L&nbsp;8s]] || m-enhar tetrawood || ''none''
|-
|-
| [[10L 9s]] || m-chro sinatonic || ''none''
| [[13L&nbsp;7s]] || m-enhar archeotonic || ''none''
|-
|-
| [[11L 8s]] || f-enhar checkertonic || ''none''
| [[14L&nbsp;6s]] || p-enhar ekic || ''none''
|-
|-
| [[12L 7s]] || f-enharmonic || flaen
| [[15L&nbsp;5s]] || p-enhar pentawood || ''none''
|-
|-
| [[13L 6s]] || p-enhar archeotonic || ''none''
| [[16L&nbsp;4s]] || paha-tetrawood || ''none''
|-
|-
| [[14L 5s]] || p-enhar semiquartal || ''none''
! colspan="3" | 21-note mosses
|-
|-
| [[15L 4s]] || paha-smitonic || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[16L 3s]] || paha-sephiroid || ''none''
| [[2L&nbsp;19s]] || s-enhar liesic || ''none''
|-
|-
| [[17L 2s]] || m-chro liesic || ''none''
| [[4L&nbsp;17s]] || uha-gramitonic || ''none''
|-
|-
| [[18L 1s]] || ''none'' || ''none''
| [[5L&nbsp;16s]] || uha-machinoid || ''none''
|-
|-
!colspan=3| 20-note mosses
| [[6L&nbsp;15s]] || s-enhar hyrulic || ''none''
|-
|-
! Pattern !! Name !! Prefix
| [[7L&nbsp;14s]] || p-chro septawood || ''none''
|-
|-
| [[1L 19s]] || ''none'' || ''none''
| [[8L&nbsp;13s]] || f-enhar oneirotonic || ''none''
|-
|-
| [[2L 18s]] || ''none'' || ''none''
| [[9L&nbsp;12s]] || f-enhar tcherepnin || ''none''
|-
|-
| [[3L 17s]] || ''none'' || ''none''
| [[10L&nbsp;11s]] || f-enhar antisinatonic || ''none''
|-
|-
| [[4L 16s]] || uha-tetrawood || ''none''
| [[11L&nbsp;10s]] || m-enhar antisinatonic || ''none''
|-
|-
| [[5L 15s]] || s-enhar pentawood || ''none''
| [[12L&nbsp;9s]] || m-enhar tcherepnin || ''none''
|-
|-
| [[6L 14s]] || s-enhar ekic || ''none''
| [[13L&nbsp;8s]] || m-enhar oneirotonic || ''none''
|-
|-
| [[7L 13s]] || m-enhar archeotonic || ''none''
| [[14L&nbsp;7s]] || m-chro septawood || ''none''
|-
|-
| [[8L 12s]] || m-enhar tetrawood || ''none''
| [[15L&nbsp;6s]] || p-enhar hyrulic || ''none''
|-
|-
| [[9L 11s]] || m-enhar balzano || ''none''
| [[16L&nbsp;5s]] || paha-machinoid || ''none''
|-
|-
| [[10L 10s]] || decawood || decwd
| [[17L&nbsp;4s]] || paha-gramitonic || ''none''
|-
|-
| [[11L 9s]] || f-enhar balzano || ''none''
| [[19L&nbsp;2s]] || p-enhar liesic || ''none''
|-
|-
| [[12L 8s]] || f-enhar tetrawood || ''none''
! colspan="3" | 22-note mosses
|-
|-
| [[13L 7s]] || f-enhar archeotonic || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[14L 6s]] || p-enhar ekic || ''none''
| [[3L&nbsp;19s]] || zheligowskic || zheli
|-
|-
| [[15L 5s]] || p-enhar pentawood || ''none''
| [[4L&nbsp;18s]] || uha-lime || ''none''
|-
|-
| [[16L 4s]] || paha-tetrawood || ''none''
| [[5L&nbsp;17s]] || reinhardic || ''none''
|-
|-
| [[17L 3s]] || ''none'' || ''none''
| [[6L&nbsp;16s]] || s-enhar lemon || ''none''
|-
|-
| [[18L 2s]] || ''none'' || ''none''
| [[7L&nbsp;15s]] || s-enhar pine || ''none''
|-
|-
| [[19L 1s]] || ''none'' || ''none''
| [[8L&nbsp;14s]] || f-enhar ekic || ''none''
|-
|-
!colspan=3| 21-note mosses
| [[9L&nbsp;13s]] || f-enhar gramitonic || ''none''
|-
|-
! Pattern !! Name !! Prefix
| [[10L&nbsp;12s]] || f-enhar jaric || ''none''
|-
|-
| [[1L 20s]] || ''none'' || ''none''
| [[11L&nbsp;11s]] || hendecawood || hedwd
|-
|-
| [[2L 19s]] || s-enhar liesic || ''none''
| [[12L&nbsp;10s]] || m-enhar jaric || ''none''
|-
|-
| [[3L 18s]] || ''none'' || ''none''
| [[13L&nbsp;9s]] || m-enhar gramitonic || ''none''
|-
|-
| [[4L 17s]] || uha-gramitonic || ''none''
| [[14L&nbsp;8s]] || m-enhar ekic || ''none''
|-
|-
| [[5L 16s]] || uha-machinoid || ''none''
| [[15L&nbsp;7s]] || p-enhar pine || ''none''
|-
|-
| [[6L 15s]] || s-enhar hyrulic || ''none''
| [[16L&nbsp;6s]] || p-enhar lemon || ''none''
|-
|-
| [[7L 14s]] || p-chro septawood || ''none''
| [[17L&nbsp;5s]] || protofractalic || ''none''
|-
|-
| [[8L 13s]] || m-enhar oneirotonic || ''none''
| [[18L&nbsp;4s]] || paha-lime || ''none''
|-
|-
| [[9L 12s]] || m-enhar tcherepnin || ''none''
| [[19L&nbsp;3s]] || giedraitic || kai
|-
|-
| [[10L 11s]] || m-enhar antisinatonic || ''none''
! colspan="3" | 23-note mosses
|-
|-
| [[11L 10s]] || f-enhar antisinatonic || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[12L 9s]] || f-enhar tcherepnin || ''none''
| [[2L&nbsp;21s]] || uha-liesic || ''none''
|-
|-
| [[13L 8s]] || f-enhar oneirotonic || ''none''
| [[5L&nbsp;18s]] || uha-oneirotonic || ''none''
|-
|-
| [[14L 7s]] || m-chro septawood || ''none''
| [[6L&nbsp;17s]] || uso-machinoid || ''none''
|-
|-
| [[15L 6s]] || p-enhar hyrulic || ''none''
| [[7L&nbsp;16s]] || s-enhar superdiatonic || ''none''
|-
|-
| [[16L 5s]] || paha-machinoid || ''none''
| [[8L&nbsp;15s]] || f-enhar pine || ''none''
|-
|-
| [[17L 4s]] || paha-gramitonic || ''none''
| [[9L&nbsp;14s]] || f-enhar semiquartal || ''none''
|-
|-
| [[18L 3s]] || ''none'' || ''none''
| [[10L&nbsp;13s]] || f-enhar sephiroid || ''none''
|-
|-
| [[19L 2s]] || p-enhar liesic || ''none''
| [[11L&nbsp;12s]] || miha-antisinatonic || ''none''
|-
|-
| [[20L 1s]] || ''none'' || ''none''
| [[12L&nbsp;11s]] || quha-antisinatonic || ''none''
|-
|-
!colspan=3| 22-note mosses
| [[13L&nbsp;10s]] || m-enhar sephiroid || ''none''
|-
|-
! Pattern !! Name !! Prefix
| [[14L&nbsp;9s]] || m-enhar semiquartal || ''none''
|-
|-
| [[1L 21s]] || ''none'' || ''none''
| [[15L&nbsp;8s]] || m-enhar pine || ''none''
|-
|-
| [[2L 20s]] || ''none'' || ''none''
| [[16L&nbsp;7s]] || p-enhar superdiatonic || ''none''
|-
|-
| [[3L 19s]] || zheligowskic || zheli
| [[17L&nbsp;6s]] || paso-machinoid || ''none''
|-
|-
| [[4L 18s]] || uha-lime || ''none''
| [[18L&nbsp;5s]] || paha-oneirotonic || ''none''
|-
|-
| [[5L 17s]] || reinhardic || ''none''
| [[21L&nbsp;2s]] || paha-liesic || ''none''
|-
|-
| [[6L 16s]] || s-enhar lemon || ''none''
! colspan="3" | 24-note mosses
|-
|-
| [[7L 15s]] || s-enhar pine || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[8L 14s]] || m-enhar ekic || ''none''
| [[5L&nbsp;19s]] || uha-semiquartal || ''none''
|-
|-
| [[9L 13s]] || m-enhar gramitonic || ''none''
| [[6L&nbsp;18s]] || s-enhar hexawood || ''none''
|-
|-
| [[10L 12s]] || m-enhar jaric || ''none''
| [[7L&nbsp;17s]] || s-enhar dicoid || ''none''
|-
|-
| [[11L 11s]] || 11-wood || ''none''
| [[8L&nbsp;16s]] || p-chro octawood || ''none''
|-
|-
| [[12L 10s]] || f-enhar jaric || ''none''
| [[9L&nbsp;15s]] || f-enhar hyrulic || ''none''
|-
|-
| [[13L 9s]] || f-enhar gramitonic || ''none''
| [[10L&nbsp;14s]] || f-enhar lime || ''none''
|-
|-
| [[14L 8s]] || f-enhar ekic || ''none''
| [[11L&nbsp;13s]] || miha-balzano || ''none''
|-
|-
| [[15L 7s]] || p-enhar pine || ''none''
| [[12L&nbsp;12s]] || dodecawood || dodwd
|-
|-
| [[16L 6s]] || p-enhar lemon || ''none''
| [[13L&nbsp;11s]] || quha-balzano || ''none''
|-
|-
| [[17L 5s]] || protofractalic || ''none''
| [[14L&nbsp;10s]] || m-enhar lime || ''none''
|-
|-
| [[18L 4s]] || paha-lime || ''none''
| [[15L&nbsp;9s]] || m-enhar hyrulic || ''none''
|-
|-
| [[19L 3s]] || giedraitic || kai
| [[16L&nbsp;8s]] || m-chro octawood || ''none''
|-
|-
| [[20L 2s]] || ''none'' || ''none''
| [[17L&nbsp;7s]] || p-enhar dicoid || ''none''
|-
|-
| [[21L 1s]] || ''none'' || ''none''
| [[18L&nbsp;6s]] || p-enhar hexawood || ''none''
|-
|-
| [[19L&nbsp;5s]] || paha-semiquartal || ''none''
|}
|}
[[Category:TAMNAMS]]