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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.
 
== Naming mos descendants ==
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"
|+ 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
|-
! Frostburn
! Ganaram
! Frostburn
! Ganaram
! Frostburn
! Ganaram
|-
| 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)
|-
| {{nowrap|(3''x'' + 2''y'')L (''x'' + ''y'')s}}
| paso-
| ps-
| 4:3 to 3:2<br />(parasoft)
|-
| 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)
|-
| {{nowrap|(2''x'' + ''y'')L (3''x'' + 2''y'')s}}
| miso-
| ms-
| 5:3 to 2:1<br />(minisoft)
|-
| 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)
|-
| {{nowrap|(3''x'' + ''y'')L (2''x'' + ''y'')s}}
| quha-
| qh-
| 5:2 to 3:1<br />(quasihard)
|-
| 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)
|-
| {{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"
|-
! MOS
! Name
! Prefix
! Abbrev.
|-
| 6L&nbsp;6s
| hexawood
| hexwd-
| hxw
|-
| 7L&nbsp;7s
| heptawood
| hepwd-
| hpw
|-
| 8L&nbsp;8s
| octawood
| octwd-
| ocw
|-
| 9L&nbsp;9s
| enneawood
| ennwd-
| enw
|-
| 10L&nbsp;10s
| decawood
| decwd-
| dkw
|-
| 11L&nbsp;11s
| hendecawood
| hedwd-
| hdw
|-
| 12L&nbsp;12s
| dodecawood
| dodwd-
| ddw
|-
| 13L&nbsp;13s
| 13-wood
| 13wd-
| 13w
|-
| 14L&nbsp;14s
| 14-wood
| 14wd-
| 14w
|-
| ''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]].


== Diatonic family ==
This system introduces the following names for (grand)daughters of diatonic [[5L 2s]].
{| class="wikitable center-all"
{| class="wikitable center-all"
|+ Diatonic family tree
|+ style="font-size: 105%;" | Diatonic family tree
|-
|-
!colspan=3| Daughters
! colspan="3" | Daughters
|-
|-
! Pattern !! Name !! Notes
! Pattern !! Name !! Notes
|-
|-
| [[5L 7s]] || p-chromatic || Chromatic scale from pythagorean generator 3/2. S-chromatic is an alternative name.
| [[5L&nbsp;7s]] || p-chromatic || Chromatic scale from pythagorean generator 3/2. S-chromatic is an alternative name.
|-
|-
| [[7L 5s]] || m-chromatic || Chromatic scale of [[meantone]]. F-chromatic is an alternative name.
| [[7L&nbsp;5s]] || m-chromatic || Chromatic scale of [[meantone]]. F-chromatic is an alternative name.
|-
|-
!colspan=3| Granddaughters
! colspan="3" | Granddaughters
|-
|-
! Pattern !! Name !! Notes
! Pattern !! Name !! Notes
|-
|-
| [[12L 5s]] || p-enharmonic || Enharmonic scale from 3/2 generator.
| [[12L&nbsp;5s]] || p-enharmonic || Enharmonic scale from pythagorean generator.
|-
|-
| [[5L 12s]] || s-enharmonic || Enharmonic scale of [[superpyth]].
| [[5L&nbsp;12s]] || s-enharmonic || Enharmonic scale of [[superpyth]].
|-
|-
| [[7L 12s]] || m-enharmonic || Enharmonic scale of meantone.
| [[12L&nbsp;7s]] || m-enharmonic || Enharmonic scale of meantone.
|-
|-
| [[12L 7s]] || f-enharmonic || Enharmonic scale of [[flattone]].
| [[7L&nbsp;12s]] || f-enharmonic || Enharmonic scale of [[flattone]].
|-
|-
!colspan=3| Great-granddaughters
! colspan="3" | Great-granddaughters
|-
|-
! Pattern !! Name !! Notes
! Pattern !! Name !! Notes
|-
|-
| [[12L 17s]] || pythagotonic || Generator is 3/2. Small step is the [[Pythagorean comma]]
| [[12L&nbsp;17s]] || pythagotonic || Generator is 3/2. Small step is the [[Pythagorean comma]]
|-
|-
| [[17L 12s]] || gothitonic || Generator falls in the [[Gentle region|neo-gothic range]].
| [[17L&nbsp;12s]] || gothitonic || Generator falls in the [[Gentle region|neo-gothic range]].
|-
|-
| [[19L 12s]] || fauxarabian || One possible generator is double of neutral third [[11/9]] while the scale still sounds neutral
| [[19L&nbsp;12s]] || fauxarabian || One possible generator is double of neutral third [[11/9]] while the scale still sounds neutral
|-
|-
| [[12L 19s]] || fauxrussian || Faux-cyrilic font is the "opposite" of faux-arabic
| [[12L&nbsp;19s]] || fauxrussian || Faux-cyrilic font is the "opposite" of faux-arabic
|-
|-
| [[17L 5s]] || protofractalic || Daughter scales exhibit fractal-like acoustic effects
| [[17L&nbsp;5s]] || protofractalic || Daughter scales exhibit fractal-like acoustic effects
|-
|-
| [[5L 17s]] || reinhardic || Possible generator [[50/33]] is similar to 5edo's fifth (Reinhard notation)
| [[5L&nbsp;17s]] || reinhardic || Possible generator [[50/33]] is similar to 5edo's fifth (Reinhard notation)
|-
|-
| [[19L 7s]] || velic || Possible generator [[112/75]] is called the mar'''velous''' fifth
| [[19L&nbsp;7s]] || velic || Possible generator [[112/75]] is called the mar'''velous''' fifth
|-
|-
| [[7L 19s]] || siskoic || Play on words: ''Veli'' means brother in Finnish and ''sisko'' means sister.
| [[7L&nbsp;19s]] || siskoic || Play on words: ''Veli'' means brother in Finnish and ''sisko'' means sister.
|-
|-
!colspan=3| Great-great-granddaughters
! colspan="3" | Great-great-granddaughters
|-
|-
! 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.
| [[12L&nbsp;29s]] || pythamystonic || Generator is 3/2. Large step is [[29-comma|mystery comma]]. Small step is pythagorean comma.
|-
|-
| [[29L 12s]] || antipythamystonic ||
| [[29L&nbsp;12s]] || antipythamystonic ||
|-
|-
| [[12L 31s]] || fauxmuscovian || Parent is fauxrussian. Muscovy is a sub region of Russia.
| [[12L&nbsp;31s]] || fauxmuscovian || Parent is fauxrussian. Muscovy is a sub region of Russia.
|-
|-
| [[31L 12s]] || fauxsiberian || Parent is fauxrussian. Siberia is a sub region of Russia.
| [[31L&nbsp;12s]] || fauxsiberian || Parent is fauxrussian. Siberia is a sub region of Russia.
|-
|-
| [[19L 31s]] || fauxsaudi || Parent is fauxarabian. Saudis live in a sub region of Arabia.
| [[19L&nbsp;31s]] || fauxsaudi || Parent is fauxarabian. Saudis live in a sub region of Arabia.
|-
|-
| [[31L 19s]] || fauxomani || Parent is fauxarabian. Omani live in a sub region of Arabia.
| [[31L&nbsp;19s]] || fauxomani || Parent is fauxarabian. Omani live in a sub region of Arabia.
|-
|-
| [[22L 17s]] || fractalic || Exhibits fractal-like acoustic effects.
| [[22L&nbsp;17s]] || fractalic || Exhibits fractal-like acoustic effects.
|-
|-
| [[17L 22s]] || antifractalic ||  
| [[17L&nbsp;22s]] || antifractalic ||  
|-
|-
| [[17L 29s]] || perotinic || Parent is gothitonic. Pérotin has been described as the first modern composer in the Western tradition.
| [[17L&nbsp;29s]] || perotinic || Parent is gothitonic. Pérotin has been described as the first modern composer in the Western tradition.
|-
|-
| [[29L 17s]] || martinic || Parent is gothitonic. Simone Martini influenced Gothic style painting.
| [[29L&nbsp;17s]] || martinic || Parent is gothitonic. Simone Martini influenced Gothic style painting.
|-
|-
| [[19L 26s]] || veljentyttonic || Parent is velic. ''Veljentyttö'' means niece from the brother's side in Finnish.
| [[19L&nbsp;26s]] || veljentyttonic || Parent is velic. ''Veljentyttö'' means niece from the brother's side in Finnish.
|-
|-
| [[26L 19s]] || veljenpoikanic || Parent is velic. ''Veljenpoika'' means nephew from the brother's side in Finnish.
| [[26L&nbsp;19s]] || veljenpoikanic || Parent is velic. ''Veljenpoika'' means nephew from the brother's side in Finnish.
|-
|-
| [[7L 26s]] || siskontyttonic || Parent is siskoic. ''Siskontyttö'' means niece from the sister's side in Finnish.
| [[7L&nbsp;26s]] || siskontyttonic || Parent is siskoic. ''Siskontyttö'' means niece from the sister's side in Finnish.
|-
|-
| [[26L 7s]] || siskonpoikanic || Parent is siskoic. ''Siskonpoika'' means nephew from the sister's side in Finnish.
| [[26L&nbsp;7s]] || siskonpoikanic || Parent is siskoic. ''Siskonpoika'' means nephew from the sister's side in Finnish.
|-
|-
| [[5L 22s]] || reinatonic || Parent is reinhardic.
| [[5L&nbsp;22s]] || reinatonic || Parent is reinhardic.
|-
|-
| [[22L 5s]] || antireinatonic || Parent is reinhardic.
| [[22L&nbsp;5s]] || antireinatonic || Parent is reinhardic.
|-
|-
!colspan=3| Great-great-great-granddaughters
! colspan="3" | Great-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;41s]]
| antipythomerc
|
|-
| [[41L&nbsp;12s]] || pythomerc || Generator is 3/2. Transitional scale between ones dominated by pythagorean and mercator commas.
|-
|-
|}
|}


== Woods ==
== Other MOS names ==
Trivial multi-MOS scales of n periods are named '''n-wood''' or spelled out resulting in: hexawood, septawood, octawood, nonawood and decawood.
=== Specific names for mosses with 11 to 15 notes ===
 
{| class="wikitable"
== Daughter scales ==
|-
Rest of the MOS scales up to 10 notes are treated similarly to diatonic using shorthands. 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).
! colspan="4" | 11-note mosses
 
|-
== Granddaughter scales ==
! Pattern
Granddaughters are analogues of m-enharmonic, f-enharmonic, p-enharmonic and s-enharmonic.
! Suggested name(s)
{| class="wikitable center-all"
! 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
|-
! Pattern
! Suggested name(s)
! Proposed by
! Reasoning
|-
| 1L&nbsp;11s
| helenite
| [[User:Ganaram inukshuk|Ganaram inukshuk]]
| In reference to the "ele" substring found in the word "eleven". Prefix is hel-.
|-
| 5L&nbsp;7s
| p-chromatic
|
| Restoration of a noteworthy, former name.
|-
| 6L&nbsp;6s
| hexawood
|
| Extension of -wood scales; coincidentally references hexe temperament.
|-
| 7L&nbsp;5s
| m-chromatic
|
| Restoration of a noteworthy, former name.
|-
! colspan="4" | 13-note mosses
|-
|-
!colspan=2 | Basic granddaughter scales
! Pattern
! Suggested name(s)
! Proposed by
! Reasoning
|-
|-
! Grandparent step-ratio !! Name scheme
| 1L&nbsp;12s
| zircon
| [[User:Ganaram inukshuk|Ganaram inukshuk]]
| Zircon is used as a birthstone for December. Prefix is zir-.
|-
|-
| 4:3 || m-enharm (grandparent's name)
| 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-.
|-
|-
| 5:3 || f-enharm (grandparent's name)
! colspan="4" | 14-note mosses
|-
|-
| 5:2 || p-enharm (grandparent's name)
! Pattern
! Suggested name(s)
! Proposed by
! Reasoning
|-
|-
| 4:1 || s-enharm (grandparent's name)
| 7L&nbsp;7s
| heptawood
|  
| Extension of -wood scales.
|-
|-
| 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-.
|}
|}


== Great-granddaughter scales ==
=== Other names for mosses with 16 or more notes ===
Great-granddaughters derive names from the hardness of the great-grandparent scale e.g. minisoft becomes miso.
{| class="wikitable"
{| class="wikitable center-all"
|-
|-
!colspan=2 | Basic great-granddaughter scales
! colspan="5" | Other higher note count mosses
|-
|-
! Great-grandparent step-ratio !! Name scheme
! Note count
! Pattern
! Suggested name(s)
! Proposed by
! Reasoning
|-
|-
| 5:4 || uso-(great-grandparent's name)
| 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-.
|-
|-
| 7:5 || paso-(great-grandparent's name)
| rowspan="2" | 19
| 3L&nbsp;16s
| magicaltonic
| [[User:Xenllium|Xenllium]]
| In reference to magic temperament.
|-
|-
| 8:5 || quso-(great-grandparent's name)
| 16L&nbsp;3s
| muggletonic
| [[User:Xenllium|Xenllium]]
| In reference to muggle temperament.
|-
|-
| 7:4 || miso-(great-grandparent's name)
| 20
| 3L&nbsp;17s
| apritonic
| [[User:Frostburn|Frostburn]]
| A [[User:Frostburn/History_of_Apritonic|meme]] referencing Apricot XEN computers.
|-
|-
| 7:3 || miha-(great-grandparent's name)
| 21
| 10L&nbsp;11s
| miracloid
| [[User:Eliora|Eliora]]
| In reference to miracle temperament.
|-
|-
| 8:3 || quha-(great-grandparent's name)
| 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-".
|-
|-
| 7:2 || paha-(great-grandparent's name)
| 19L&nbsp;3s
| giedraitic
| [[User:Frostburn|Frostburn]]
| Named after the basic magic layout of [[Kite Giedraitis]]' [[Kite guitar|guitar]]. Proposed prefix is "kai-".
|-
|-
| 5:1 || uha-(great-grandparent's name)
| 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
|-
! Pattern !! Name !! Prefix
|-
| [[1L&nbsp;10s]] || tanzanite<br />(p-chro antisinatonic) || tan
|-
| [[2L&nbsp;9s]] || antivillatonic<br />(p-chro balzano) || anvil
|-
| [[3L&nbsp;8s]] || p-chro checkertonic || ''none''
|-
| [[4L&nbsp;7s]] || kleistonic<br />(p-chro smitonic) || klei
|-
| [[5L&nbsp;6s]] || p-chro machinoid || ''none''
|-
|-
!colspan=3| 11-note mosses
| [[6L&nbsp;5s]] || m-chro machinoid || ''none''
|-
|-
! Pattern !! Name !! Stem
| [[7L&nbsp;4s]] || daemotonic<br />(m-chro smitonic) || susmi
|-
|-
| [[1L 10s]] || p-chro antisinatonic || ''none''
| [[8L&nbsp;3s]] || m-chro checkertonic || ''none''
|-
|-
| [[2L 9s]] || p-chro balzano || ''none''
| [[9L&nbsp;2s]] || villatonic<br />(m-chro balzano) || vil
|-
|-
| [[3L 8s]] || p-chro checkertonic || ''none''
| [[10L&nbsp;1s]] || antitanzanite<br />(m-chro antisinatonic) || antan
|-
|-
| [[4L 7s]] || p-chro smitonic || ''none''
! colspan="3" | 12-note mosses
|-
|-
| [[5L 6s]] || p-chro machinoid || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[6L 5s]] || m-chro machinoid || ''none''
| [[1L&nbsp;11s]] || helenite<br />(s-enhar antisinatonic) || hel
|-
|-
| [[7L 4s]] || m-chro smitonic || ''none''
| [[2L&nbsp;10s]] || p-chro jaric || ''none''
|-
|-
| [[8L 3s]] || m-chro checkertonic || ''none''
| [[3L&nbsp;9s]] || p-chro tcherepnin || ''none''
|-
|-
| [[9L 2s]] || m-chro balzano || ''none''
| [[4L&nbsp;8s]] || p-chro tetrawood || ''none''
|-
|-
| [[10L 1s]] || m-chro antisinatonic || ''none''
| [[5L&nbsp;7s]] || p-chromatic || pychro
|-
|-
!colspan=3| 12-note mosses
| [[6L&nbsp;6s]] || hexawood || hexwd
|-
|-
! Pattern !! Name !! Stem
| [[7L&nbsp;5s]] || m-chromatic || mellow
|-
|-
| [[1L 11s]] || s-enharm antisinatonic || ''none''
| [[8L&nbsp;4s]] || m-chro tetrawood || ''none''
|-
|-
| [[2L 10s]] || p-chro jaric || ''none''
| [[9L&nbsp;3s]] || m-chro tcherepnin || ''none''
|-
|-
| [[3L 9s]] || p-chro tcherepnin || ''none''
| [[10L&nbsp;2s]] || m-chro jaric || ''none''
|-
|-
| [[4L 8s]] || p-chro tetrawood || ''none''
| [[11L&nbsp;1s]] || antihelenite<br />(p-enhar antisinatonic) || anhel
|-
|-
| [[5L 7s]] || pyth-chromatic || pychro
! colspan="3" | 13-note mosses
|-
|-
| [[6L 6s]] || hexawood || hexwood
! Pattern !! Name !! Prefix
|-
|-
| [[7L 5s]] || mean-chromatic || mellow
| [[1L&nbsp;12s]] || zircon<br />(uha-antisinatonic) || zir
|-
|-
| [[8L 4s]] || m-chro tetrawood || ''none''
| [[2L&nbsp;11s]] || antihendecoid<br />(s-enhar balzano) || anhen
|-
|-
| [[9L 3s]] || m-chro tcherepnin || ''none''
| [[3L&nbsp;10s]] || p-chro sephiroid || ''none''
|-
|-
| [[10L 2s]] || m-chro jaric || ''none''
| [[4L&nbsp;9s]] || p-chro gramitonic || ''none''
|-
|-
| [[11L 1s]] || p-enharm antisinatonic || ''none''
| [[5L&nbsp;8s]] || p-chro oneirotonic || ''none''
|-
|-
!colspan=3| 13-note mosses
| [[6L&nbsp;7s]] || p-chro archeotonic || ''none''
|-
|-
! Pattern !! Name !! Stem
| [[7L&nbsp;6s]] || m-chro archeotonic || ''none''
|-
|-
| [[1L 12s]] || uha-antisinatonic || ''none''
| [[8L&nbsp;5s]] || m-chro oneirotonic || ''none''
|-
|-
| [[2L 11s]] || s-enharm balzano || ''none''
| [[9L&nbsp;4s]] || m-chro gramitonic || ''none''
|-
|-
| [[3L 10s]] || p-chro sephiroid || ''none''
| [[10L&nbsp;3s]] || m-chro sephiroid || ''none''
|-
|-
| [[4L 9s]] || p-chro gramitonic || ''none''
| [[11L&nbsp;2s]] || hendecoid<br />(p-enhar balzano) || hen
|-
|-
| [[5L 8s]] || p-chro oneirotonic || ''none''
| [[12L&nbsp;1s]] || antizircon<br />(paha-antisinatonic) || anzir
|-
|-
| [[6L 7s]] || p-chro archeotonic || ''none''
! colspan="3" | 14-note mosses
|-
|-
| [[7L 6s]] || m-chro archeotonic || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[8L 5s]] || m-chro oneirotonic || ''none''
| [[1L&nbsp;13s]] || antrollic || antro
|-
|-
| [[9L 4s]] || m-chro gramitonic || ''none''
| [[2L&nbsp;12s]] || s-enhar jaric || ''none''
|-
|-
| [[10L 3s]] || m-chro sephiroid || ''none''
| [[3L&nbsp;11s]] || s-enhar checkertonic || ''none''
|-
|-
| [[11L 2s]] || p-enharm balzano || ''none''
| [[4L&nbsp;10s]] || p-chro lime || ''none''
|-
|-
| [[12L 1s]] || paha-antisinatonic || ''none''
| [[5L&nbsp;9s]] || p-chro semiquartal || ''none''
|-
|-
!colspan=3| 14-note mosses
| [[6L&nbsp;8s]] || p-chro ekic || ''none''
|-
|-
! Pattern !! Name !! Stem
| [[7L&nbsp;7s]] || heptawood || heptwd
|-
|-
| [[1L 13s]] || antrollic || antro
| [[8L&nbsp;6s]] || m-chro ekic || ''none''
|-
|-
| [[2L 12s]] || s-enharm jaric || ''none''
| [[9L&nbsp;5s]] || m-chro semiquartal || ''none''
|-
|-
| [[3L 11s]] || s-enharm checkertonic || ''none''
| [[10L&nbsp;4s]] || m-chro lime || ''none''
|-
|-
| [[4L 10s]] || p-chro lime || ''none''
| [[11L&nbsp;3s]] || p-enhar checkertonic || ''none''
|-
|-
| [[5L 9s]] || p-chro semiquartal || ''none''
| [[12L&nbsp;2s]] || p-enhar jaric || ''none''
|-
|-
| [[6L 8s]] || p-chro ekic || ''none''
| [[13L&nbsp;1s]] || trollic || tro
|-
|-
| [[7L 7s]] || septawood || septwood
! colspan="3" | 15-note mosses
|-
|-
| [[8L 6s]] || m-chro ekic || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[9L 5s]] || m-chro semiquartal || ''none''
| [[1L&nbsp;14s]] || p-chro antrollic || ''none''
|-
|-
| [[10L 4s]] || m-chro lime || ''none''
| [[2L&nbsp;13s]] || uha-balzano || ''none''
|-
|-
| [[11L 3s]] || p-enharm checkertonic || ''none''
| [[3L&nbsp;12s]] || s-enhar tcherepnin || ''none''
|-
|-
| [[12L 2s]] || p-enharm jaric || ''none''
| [[4L&nbsp;11s]] || s-enhar smitonic || ''none''
|-
|-
| [[13L 1s]] || trollic || tro
| [[5L&nbsp;10s]] || p-chro pentawood || ''none''
|-
|-
!colspan=3| 15-note mosses
| [[6L&nbsp;9s]] || p-chro hyrulic || ''none''
|-
|-
! Pattern !! Name !! Stem
| [[7L&nbsp;8s]] || p-chro pine || ''none''
|-
|-
| [[1L 14s]] || p-chro antrollic || ''none''
| [[8L&nbsp;7s]] || m-chro pine || ''none''
|-
|-
| [[2L 13s]] || uha-balzano || ''none''
| [[9L&nbsp;6s]] || m-chro hyrulic || ''none''
|-
|-
| [[3L 12s]] || s-enharm tcherepnin || ''none''
| [[10L&nbsp;5s]] || m-chro pentawood || ''none''
|-
|-
| [[4L 11s]] || s-enharm smitonic || ''none''
| [[11L&nbsp;4s]] || p-enhar smitonic || ''none''
|-
|-
| [[5L 10s]] || p-chro pentawood || ''none''
| [[12L&nbsp;3s]] || p-enhar tcherepnin || ''none''
|-
|-
| [[6L 9s]] || p-chro hyrulic || ''none''
| [[13L&nbsp;2s]] || paha-balzano || ''none''
|-
|-
| [[7L 8s]] || p-chro pine || ''none''
| [[14L&nbsp;1s]] || m-chro antrollic || ''none''
|-
|-
| [[8L 7s]] || m-chro pine || ''none''
! colspan="3" | 16-note mosses
|-
|-
| [[9L 6s]] || m-chro hyrulic || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[10L 5s]] || m-chro pentawood || ''none''
| [[1L&nbsp;15s]] || s-enhar antrollic || ''none''
|-
|-
| [[11L 4s]] || p-enharm smitonic || ''none''
| [[2L&nbsp;14s]] || uha-jaric || ''none''
|-
|-
| [[12L 3s]] || p-enharm tcherepnin || ''none''
| [[3L&nbsp;13s]] || s-enhar sephiroid || ''none''
|-
|-
| [[13L 2s]] || paha-balzano || ''none''
| [[4L&nbsp;12s]] || s-enhar tetrawood || ''none''
|-
|-
| [[14L 1s]] || m-chro antrollic || ''none''
| [[5L&nbsp;11s]] || s-enhar machinoid || ''none''
|-
|-
!colspan=3| 16-note mosses
| [[6L&nbsp;10s]] || p-chro lemon || ''none''
|-
|-
! Pattern !! Name !! Stem
| [[7L&nbsp;9s]] || p-chro superdiatonic || ''none''
|-
|-
| [[1L 15s]] || s-enharm antrollic || ''none''
| [[8L&nbsp;8s]] || octawood || octwd
|-
|-
| [[2L 14s]] || uha-jaric || ''none''
| [[9L&nbsp;7s]] || m-chro superdiatonic || ''none''
|-
|-
| [[3L 13s]] || s-enharm sephiroid || ''none''
| [[10L&nbsp;6s]] || m-chro lemon || ''none''
|-
|-
| [[4L 12s]] || s-enharm tetrawood || ''none''
| [[11L&nbsp;5s]] || p-enhar machinoid || ''none''
|-
|-
| [[5L 11s]] || s-enharm machinoid || ''none''
| [[12L&nbsp;4s]] || p-enhar tetrawood || ''none''
|-
|-
| [[6L 10s]] || p-chro lemon || ''none''
| [[13L&nbsp;3s]] || p-enhar sephiroid || ''none''
|-
|-
| [[7L 9s]] || p-chro superdiatonic || ''none''
| [[14L&nbsp;2s]] || paha-jaric || ''none''
|-
|-
| [[8L 8s]] || octawood || octwood
| [[15L&nbsp;1s]] || p-enhar antrollic || ''none''
|-
|-
| [[9L 7s]] || m-chro superdiatonic || ''none''
! colspan="3" | 17-note mosses
|-
|-
| [[10L 6s]] || m-chro lemon || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[11L 5s]] || p-enharm machinoid || ''none''
| [[1L&nbsp;16s]] || uha-antrollic || ''none''
|-
|-
| [[12L 4s]] || p-enharm tetrawood || ''none''
| [[2L&nbsp;15s]] || liesic || lisa
|-
|-
| [[13L 3s]] || p-enharm sephiroid || ''none''
| [[3L&nbsp;14s]] || uha-checkertonic || ''none''
|-
|-
| [[14L 2s]] || paha-jaric || ''none''
| [[4L&nbsp;13s]] || s-enhar gramitonic || ''none''
|-
|-
| [[15L 1s]] || p-enharm antrollic || ''none''
| [[5L&nbsp;12s]] || s-enharmonic || supen
|-
|-
!colspan=3| 17-note mosses
| [[6L&nbsp;11s]] || f-enhar machinoid || ''none''
|-
|-
! Pattern !! Name !! Stem
| [[7L&nbsp;10s]] || p-chro dicoid || ''none''
|-
|-
| [[1L 16s]] || uha-antrollic || ''none''
| [[8L&nbsp;9s]] || p-chro subneutralic || ''none''
|-
|-
| [[2L 15s]] || liesic || lisa
| [[9L&nbsp;8s]] || m-chro subneutralic || ''none''
|-
|-
| [[3L 14s]] || uha-checkertonic || ''none''
| [[10L&nbsp;7s]] || m-chro dicoid || ''none''
|-
|-
| [[4L 13s]] || s-enharm gramitonic || ''none''
| [[11L&nbsp;6s]] || m-enhar machinoid || ''none''
|-
|-
| [[5L 12s]] || supy-enharmonic || supen
| [[12L&nbsp;5s]] || p-enharmonic || pyen
|-
|-
| [[6L 11s]] || m-enharm machinoid || ''none''
| [[13L&nbsp;4s]] || p-enhar gramitonic || ''none''
|-
|-
| [[7L 10s]] || p-chro dicoid || ''none''
| [[14L&nbsp;3s]] || paha-checkertonic || ''none''
|-
|-
| [[8L 9s]] || p-chro subneutralic || ''none''
| [[15L&nbsp;2s]] || antiliesic || alisa
|-
|-
| [[9L 8s]] || m-chro subneutralic || ''none''
| [[16L&nbsp;1s]] || paha-antrollic || ''none''
|-
|-
| [[10L 7s]] || m-chro dicoid || ''none''
! colspan="3" | 18-note mosses
|-
|-
| [[11L 6s]] || f-enharm machinoid || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[12L 5s]] || pyth-enharmonic || pyen
| [[3L&nbsp;15s]] || uha-tcherepnin || ''none''
|-
|-
| [[13L 4s]] || p-enharm gramitonic || ''none''
| [[4L&nbsp;14s]] || s-enhar lime || ''none''
|-
|-
| [[14L 3s]] || paha-checkertonic || ''none''
| [[5L&nbsp;13s]] || s-enhar oneirotonic || ''none''
|-
|-
| [[15L 2s]] || antiliesic || alisa
| [[6L&nbsp;12s]] || p-chro hexawood || ''none''
|-
|-
| [[16L 1s]] || paha-antrollic || ''none''
| [[7L&nbsp;11s]] || f-enhar smitonic || ''none''
|-
|-
!colspan=3| 18-note mosses
| [[8L&nbsp;10s]] || p-chro taric || ''none''
|-
|-
! Pattern !! Name !! Stem
| [[9L&nbsp;9s]] || enneawood || ennwd
|-
|-
| [[1L 17s]] || ''none'' || ''none''
| [[10L&nbsp;8s]] || m-chro taric || ''none''
|-
|-
| [[2L 16s]] || ''none'' || ''none''
| [[11L&nbsp;7s]] || m-enhar smitonic || ''none''
|-
|-
| [[3L 15s]] || uha-tcherepnin || ''none''
| [[12L&nbsp;6s]] || m-chro hexawood || ''none''
|-
|-
| [[4L 14s]] || s-enharm lime || ''none''
| [[13L&nbsp;5s]] || p-enhar oneirotonic || ''none''
|-
|-
| [[5L 13s]] || s-enharm oneirotonic || ''none''
| [[14L&nbsp;4s]] || p-enhar lime || ''none''
|-
|-
| [[6L 12s]] || p-chro hexawood || ''none''
| [[15L&nbsp;3s]] || paha-tcherepnin || ''none''
|-
|-
| [[7L 11s]] || m-enharm smitonic || ''none''
! colspan="3" | 19-note mosses
|-
|-
| [[8L 10s]] || p-chro taric || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[9L 9s]] || nonawood || nonwood
| [[2L&nbsp;17s]] || p-chro liesic || ''none''
|-
|-
| [[10L 8s]] || m-chro taric || ''none''
| [[3L&nbsp;16s]] || magicaltonic<br />(uha-sephiroid) || ''none''
|-
|-
| [[11L 7s]] || f-enharm smitonic || ''none''
| [[4L&nbsp;15s]] || uha-smitonic || ''none''
|-
|-
| [[12L 6s]] || m-chro hexawood || ''none''
| [[5L&nbsp;14s]] || s-enhar semiquartal || ''none''
|-
|-
| [[13L 5s]] || p-enharm oneirotonic || ''none''
| [[6L&nbsp;13s]] || s-enhar archeotonic || ''none''
|-
|-
| [[14L 4s]] || p-enharm lime || ''none''
| [[7L&nbsp;12s]] || f-enharmonic || flaen
|-
|-
| [[15L 3s]] || paha-tcherepnin || ''none''
| [[8L&nbsp;11s]] || f-enhar checkertonic || ''none''
|-
|-
| [[16L 2s]] || ''none'' || ''none''
| [[9L&nbsp;10s]] || p-chro sinatonic || ''none''
|-
|-
| [[17L 1s]] || ''none'' || ''none''
| [[10L&nbsp;9s]] || m-chro sinatonic || ''none''
|-
|-
!colspan=3| 19-note mosses
| [[11L&nbsp;8s]] || m-enhar checkertonic || ''none''
|-
|-
! Pattern !! Name !! Stem
| [[12L&nbsp;7s]] || m-enharmonic || meen
|-
|-
| [[1L 18s]] || ''none'' || ''none''
| [[13L&nbsp;6s]] || p-enhar archeotonic || ''none''
|-
|-
| [[2L 17s]] || p-chro liesic || ''none''
| [[14L&nbsp;5s]] || p-enhar semiquartal || ''none''
|-
|-
| [[3L 16s]] || uha-sephiroid || ''none''
| [[15L&nbsp;4s]] || paha-smitonic || ''none''
|-
|-
| [[4L 15s]] || uha-smitonic || ''none''
| [[16L&nbsp;3s]] || muggletonic<br />(paha-sephiroid) || ''none''
|-
|-
| [[5L 14s]] || s-enharm semiquartal || ''none''
| [[17L&nbsp;2s]] || m-chro liesic || ''none''
|-
|-
| [[6L 13s]] || s-enharm archeotonic || ''none''
! colspan="3" | 20-note mosses
|-
|-
| [[7L 12s]] || mean-enharmonic || meen
! Pattern !! Name !! Prefix
|-
|-
| [[8L 11s]] || m-enharm checkertonic || ''none''
| [[4L&nbsp;16s]] || uha-tetrawood || ''none''
|-
|-
| [[9L 10s]] || p-chro sinatonic || ''none''
| [[5L&nbsp;15s]] || s-enhar pentawood || ''none''
|-
|-
| [[10L 9s]] || m-chro sinatonic || ''none''
| [[6L&nbsp;14s]] || s-enhar ekic || ''none''
|-
|-
| [[11L 8s]] || f-enharm checkertonic || ''none''
| [[7L&nbsp;13s]] || f-enhar archeotonic || ''none''
|-
|-
| [[12L 7s]] || flat-enharmonic || flaen
| [[8L&nbsp;12s]] || f-enhar tetrawood || ''none''
|-
|-
| [[13L 6s]] || p-enharm archeotonic || ''none''
| [[9L&nbsp;11s]] || f-enhar balzano || ''none''
|-
|-
| [[14L 5s]] || p-enharm semiquartal || ''none''
| [[10L&nbsp;10s]] || decawood || decwd
|-
|-
| [[15L 4s]] || paha-smitonic || ''none''
| [[11L&nbsp;9s]] || m-enhar balzano || ''none''
|-
|-
| [[16L 3s]] || paha-sephiroid || ''none''
| [[12L&nbsp;8s]] || m-enhar tetrawood || ''none''
|-
|-
| [[17L 2s]] || m-chro liesic || ''none''
| [[13L&nbsp;7s]] || m-enhar archeotonic || ''none''
|-
|-
| [[18L 1s]] || ''none'' || ''none''
| [[14L&nbsp;6s]] || p-enhar ekic || ''none''
|-
|-
!colspan=3| 20-note mosses
| [[15L&nbsp;5s]] || p-enhar pentawood || ''none''
|-
|-
! Pattern !! Name !! Stem
| [[16L&nbsp;4s]] || paha-tetrawood || ''none''
|-
|-
| [[1L 19s]] || ''none'' || ''none''
! colspan="3" | 21-note mosses
|-
|-
| [[2L 18s]] || ''none'' || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[3L 17s]] || ''none'' || ''none''
| [[2L&nbsp;19s]] || s-enhar liesic || ''none''
|-
|-
| [[4L 16s]] || uha-tetrawood || ''none''
| [[4L&nbsp;17s]] || uha-gramitonic || ''none''
|-
|-
| [[5L 15s]] || s-enharm pentawood || ''none''
| [[5L&nbsp;16s]] || uha-machinoid || ''none''
|-
|-
| [[6L 14s]] || s-enharm ekic || ''none''
| [[6L&nbsp;15s]] || s-enhar hyrulic || ''none''
|-
|-
| [[7L 13s]] || m-enharm archeotonic || ''none''
| [[7L&nbsp;14s]] || p-chro septawood || ''none''
|-
|-
| [[8L 12s]] || m-enharm tetrawood || ''none''
| [[8L&nbsp;13s]] || f-enhar oneirotonic || ''none''
|-
|-
| [[9L 11s]] || m-enharm balzano || ''none''
| [[9L&nbsp;12s]] || f-enhar tcherepnin || ''none''
|-
|-
| [[10L 10s]] || decawood || decwood
| [[10L&nbsp;11s]] || f-enhar antisinatonic || ''none''
|-
|-
| [[11L 9s]] || f-enharm balzano || ''none''
| [[11L&nbsp;10s]] || m-enhar antisinatonic || ''none''
|-
|-
| [[12L 8s]] || f-enharm tetrawood || ''none''
| [[12L&nbsp;9s]] || m-enhar tcherepnin || ''none''
|-
|-
| [[13L 7s]] || f-enharm archeotonic || ''none''
| [[13L&nbsp;8s]] || m-enhar oneirotonic || ''none''
|-
|-
| [[14L 6s]] || p-enharm ekic || ''none''
| [[14L&nbsp;7s]] || m-chro septawood || ''none''
|-
|-
| [[15L 5s]] || p-enharm pentawood || ''none''
| [[15L&nbsp;6s]] || p-enhar hyrulic || ''none''
|-
|-
| [[16L 4s]] || paha-tetrawood || ''none''
| [[16L&nbsp;5s]] || paha-machinoid || ''none''
|-
|-
| [[17L 3s]] || ''none'' || ''none''
| [[17L&nbsp;4s]] || paha-gramitonic || ''none''
|-
|-
| [[18L 2s]] || ''none'' || ''none''
| [[19L&nbsp;2s]] || p-enhar liesic || ''none''
|-
|-
| [[19L 1s]] || ''none'' || ''none''
! colspan="3" | 22-note mosses
|-
|-
!colspan=3| 21-note mosses
! Pattern !! Name !! Prefix
|-
|-
! Pattern !! Name !! Stem
| [[3L&nbsp;19s]] || zheligowskic || zheli
|-
|-
| [[1L 20s]] || ''none'' || ''none''
| [[4L&nbsp;18s]] || uha-lime || ''none''
|-
|-
| [[2L 19s]] || s-enharm liesic || ''none''
| [[5L&nbsp;17s]] || reinhardic || ''none''
|-
|-
| [[3L 18s]] || ''none'' || ''none''
| [[6L&nbsp;16s]] || s-enhar lemon || ''none''
|-
|-
| [[4L 17s]] || uha-gramitonic || ''none''
| [[7L&nbsp;15s]] || s-enhar pine || ''none''
|-
|-
| [[5L 16s]] || uha-machinoid || ''none''
| [[8L&nbsp;14s]] || f-enhar ekic || ''none''
|-
|-
| [[6L 15s]] || s-enharm hyrulic || ''none''
| [[9L&nbsp;13s]] || f-enhar gramitonic || ''none''
|-
|-
| [[7L 14s]] || p-chro septawood || ''none''
| [[10L&nbsp;12s]] || f-enhar jaric || ''none''
|-
|-
| [[8L 13s]] || m-enharm oneirotonic || ''none''
| [[11L&nbsp;11s]] || hendecawood || hedwd
|-
|-
| [[9L 12s]] || m-enharm tcherepnin || ''none''
| [[12L&nbsp;10s]] || m-enhar jaric || ''none''
|-
|-
| [[10L 11s]] || m-enharm antisinatonic || ''none''
| [[13L&nbsp;9s]] || m-enhar gramitonic || ''none''
|-
|-
| [[11L 10s]] || f-enharm antisinatonic || ''none''
| [[14L&nbsp;8s]] || m-enhar ekic || ''none''
|-
|-
| [[12L 9s]] || f-enharm tcherepnin || ''none''
| [[15L&nbsp;7s]] || p-enhar pine || ''none''
|-
|-
| [[13L 8s]] || f-enharm oneirotonic || ''none''
| [[16L&nbsp;6s]] || p-enhar lemon || ''none''
|-
|-
| [[14L 7s]] || m-chro septawood || ''none''
| [[17L&nbsp;5s]] || protofractalic || ''none''
|-
|-
| [[15L 6s]] || p-enharm hyrulic || ''none''
| [[18L&nbsp;4s]] || paha-lime || ''none''
|-
|-
| [[16L 5s]] || paha-machinoid || ''none''
| [[19L&nbsp;3s]] || giedraitic || kai
|-
|-
| [[17L 4s]] || paha-gramitonic || ''none''
! colspan="3" | 23-note mosses
|-
|-
| [[18L 3s]] || ''none'' || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[19L 2s]] || p-enharm liesic || ''none''
| [[2L&nbsp;21s]] || uha-liesic || ''none''
|-
|-
| [[20L 1s]] || ''none'' || ''none''
| [[5L&nbsp;18s]] || uha-oneirotonic || ''none''
|-
|-
!colspan=3| 22-note mosses
| [[6L&nbsp;17s]] || uso-machinoid || ''none''
|-
|-
! Pattern !! Name !! Stem
| [[7L&nbsp;16s]] || s-enhar superdiatonic || ''none''
|-
|-
| [[1L 21s]] || ''none'' || ''none''
| [[8L&nbsp;15s]] || f-enhar pine || ''none''
|-
|-
| [[2L 20s]] || ''none'' || ''none''
| [[9L&nbsp;14s]] || f-enhar semiquartal || ''none''
|-
|-
| [[3L 19s]] || zheligowskic || zheli
| [[10L&nbsp;13s]] || f-enhar sephiroid || ''none''
|-
|-
| [[4L 18s]] || uha-lime || ''none''
| [[11L&nbsp;12s]] || miha-antisinatonic || ''none''
|-
|-
| [[5L 17s]] || reinhardic || ''none''
| [[12L&nbsp;11s]] || quha-antisinatonic || ''none''
|-
|-
| [[6L 16s]] || s-enharm lemon || ''none''
| [[13L&nbsp;10s]] || m-enhar sephiroid || ''none''
|-
|-
| [[7L 15s]] || s-enharm pine || ''none''
| [[14L&nbsp;9s]] || m-enhar semiquartal || ''none''
|-
|-
| [[8L 14s]] || m-enharm ekic || ''none''
| [[15L&nbsp;8s]] || m-enhar pine || ''none''
|-
|-
| [[9L 13s]] || m-enharm gramitonic || ''none''
| [[16L&nbsp;7s]] || p-enhar superdiatonic || ''none''
|-
|-
| [[10L 12s]] || m-enharm jaric || ''none''
| [[17L&nbsp;6s]] || paso-machinoid || ''none''
|-
|-
| [[11L 11s]] || 11-wood || ''none''
| [[18L&nbsp;5s]] || paha-oneirotonic || ''none''
|-
|-
| [[12L 10s]] || f-enharm jaric || ''none''
| [[21L&nbsp;2s]] || paha-liesic || ''none''
|-
|-
| [[13L 9s]] || f-enharm gramitonic || ''none''
! colspan="3" | 24-note mosses
|-
|-
| [[14L 8s]] || f-enharm ekic || ''none''
! Pattern !! Name !! Prefix
|-
|-
| [[15L 7s]] || p-enharm pine || ''none''
| [[5L&nbsp;19s]] || uha-semiquartal || ''none''
|-
|-
| [[16L 6s]] || p-enharm lemon || ''none''
| [[6L&nbsp;18s]] || s-enhar hexawood || ''none''
|-
|-
| [[17L 5s]] || protofractalic || ''none''
| [[7L&nbsp;17s]] || s-enhar dicoid || ''none''
|-
|-
| [[18L 4s]] || paha-lime || ''none''
| [[8L&nbsp;16s]] || p-chro octawood || ''none''
|-
|-
| [[19L 3s]] || giedraitic || kai
| [[9L&nbsp;15s]] || f-enhar hyrulic || ''none''
|-
|-
| [[20L 2s]] || ''none'' || ''none''
| [[10L&nbsp;14s]] || f-enhar lime || ''none''
|-
|-
| [[21L 1s]] || ''none'' || ''none''
| [[11L&nbsp;13s]] || miha-balzano || ''none''
|-
|-
| [[12L&nbsp;12s]] || dodecawood || dodwd
|-
| [[13L&nbsp;11s]] || quha-balzano || ''none''
|-
| [[14L&nbsp;10s]] || m-enhar lime || ''none''
|-
| [[15L&nbsp;9s]] || m-enhar hyrulic || ''none''
|-
| [[16L&nbsp;8s]] || m-chro octawood || ''none''
|-
| [[17L&nbsp;7s]] || p-enhar dicoid || ''none''
|-
| [[18L&nbsp;6s]] || p-enhar hexawood || ''none''
|-
| [[19L&nbsp;5s]] || paha-semiquartal || ''none''
|}
|}
[[Category:TAMNAMS]]

Latest revision as of 15:13, 27 February 2025

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 euphonic version at least for User:Frostburn's taste.

Naming mos descendants

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 Frostburn and Ganaram inukshuk.

Base names
Child (1st descendant) Grandchild (2nd descendant) Great-grandchild (3rd descendant) kth 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)
(prefix)-(mos-prefix)chromatic 		(prefix)-enharmonic (mos-name)
(prefix)-(mos-prefix)enharmonic 		(prefix)-subchromatic (mos-name)
(prefix)-(mos-prefix)subchromatic 		kth-descendant (mos-name)
kth-(mos-prefix)descendant 		Prefixes are optional.
Names are work-in-progress.
Step ratio prefixes
Parent mos Child (1st descendant) Grandchild (2nd descendant) Great-grandchild (3rd descendant)
Mos L:s range Mos Prefix L:s range Mos Prefix L:s range Mos Prefix L:s range
Frostburn Ganaram Frostburn Ganaram Frostburn Ganaram
xL ys 1:1 to 1:0 (x + y)L xs m- s- 1:1 to 2:1
(general soft range) 		(x + y)L (2x + y)s f- s- 1:1 to 3:2
(soft) 		(x + y)L (3x + 2y)s uso- us- 1:1 to 4:3
(ultrasoft)
(3x + 2y)L (x + y)s paso- ps- 4:3 to 3:2
(parasoft)
(2x + y)L (x + y)s m- os- 3:2 to 2:1
(hyposoft) 		(3x + 2y)L (2x + y)s quso- qs- 3:2 to 5:3
(quasisoft)
(2x + y)L (3x + 2y)s miso- ms- 5:3 to 2:1
(minisoft)
xL (x + y)s p- h- 2:1 to 1:0
(general hard range) 		(2x + y)L xs p- oh- 2:1 to 3:1
(hypohard) 		(2x + y)L (3x + y)s miha- mh- 2:1 to 5:2
(minihard)
(3x + y)L (2x + y)s quha- qh- 5:2 to 3:1
(quasihard)
xL (2x + y)s s- h- 3:1 to 1:0
(hard) 		(3x + y)L xs paha- ph- 3:1 to 4:1
(parahard)
xL (3x + y)s uha- uh- 4:1 to 1:0
(ultrahard)

Other MOS families

Wood scales

Trivial multi-MOS scales of k periods (mosses of the form kL ks) 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.

MOS Name Prefix Abbrev.
6L 6s hexawood hexwd- hxw
7L 7s heptawood hepwd- hpw
8L 8s octawood octwd- ocw
9L 9s enneawood ennwd- enw
10L 10s decawood decwd- dkw
11L 11s hendecawood hedwd- hdw
12L 12s dodecawood dodwd- ddw
13L 13s 13-wood 13wd- 13w
14L 14s 14-wood 14wd- 14w
kL ks k-wood kwd kw

Diatonic family

This system introduces the following names for (grand)daughters of diatonic 5L 2s.

Diatonic family tree
Daughters
Pattern Name Notes
5L 7s p-chromatic Chromatic scale from pythagorean generator 3/2. S-chromatic is an alternative name.
7L 5s m-chromatic Chromatic scale of meantone. F-chromatic is an alternative name.
Granddaughters
Pattern Name Notes
12L 5s p-enharmonic Enharmonic scale from pythagorean generator.
5L 12s s-enharmonic Enharmonic scale of superpyth.
12L 7s m-enharmonic Enharmonic scale of meantone.
7L 12s f-enharmonic Enharmonic scale of flattone.
Great-granddaughters
Pattern Name Notes
12L 17s pythagotonic Generator is 3/2. Small step is the Pythagorean comma
17L 12s gothitonic Generator falls in the neo-gothic range.
19L 12s fauxarabian One possible generator is double of neutral third 11/9 while the scale still sounds neutral
12L 19s fauxrussian Faux-cyrilic font is the "opposite" of faux-arabic
17L 5s protofractalic Daughter scales exhibit fractal-like acoustic effects
5L 17s reinhardic Possible generator 50/33 is similar to 5edo's fifth (Reinhard notation)
19L 7s velic Possible generator 112/75 is called the marvelous fifth
7L 19s siskoic Play on words: Veli means brother in Finnish and sisko means sister.
Great-great-granddaughters
Pattern Name Notes
12L 29s pythamystonic Generator is 3/2. Large step is mystery comma. Small step is pythagorean comma.
29L 12s antipythamystonic
12L 31s fauxmuscovian Parent is fauxrussian. Muscovy is a sub region of Russia.
31L 12s fauxsiberian Parent is fauxrussian. Siberia is a sub region of Russia.
19L 31s fauxsaudi Parent is fauxarabian. Saudis live in a sub region of Arabia.
31L 19s fauxomani Parent is fauxarabian. Omani live in a sub region of Arabia.
22L 17s fractalic Exhibits fractal-like acoustic effects.
17L 22s antifractalic
17L 29s perotinic Parent is gothitonic. Pérotin has been described as the first modern composer in the Western tradition.
29L 17s martinic Parent is gothitonic. Simone Martini influenced Gothic style painting.
19L 26s veljentyttonic Parent is velic. Veljentyttö means niece from the brother's side in Finnish.
26L 19s veljenpoikanic Parent is velic. Veljenpoika means nephew from the brother's side in Finnish.
7L 26s siskontyttonic Parent is siskoic. Siskontyttö means niece from the sister's side in Finnish.
26L 7s siskonpoikanic Parent is siskoic. Siskonpoika means nephew from the sister's side in Finnish.
5L 22s reinatonic Parent is reinhardic.
22L 5s antireinatonic Parent is reinhardic.
Great-great-great-granddaughters
Pattern Name Notes
12L 41s antipythomerc
41L 12s pythomerc Generator is 3/2. Transitional scale between ones dominated by pythagorean and mercator commas.

Other MOS names

Specific names for mosses with 11 to 15 notes

11-note mosses
Pattern Suggested name(s) Proposed by Reasoning
1L 10s tanzanite or tenorite Ganaram inukshuk More naming puns (tenzanite or tenorite). Prefix is tan-.
4L 7s kleistonic Restoration of a noteworthy, former name. References the kleismic family of temperaments. Prefix is klei-.
Extension name is p-chro smitonic, hard-chromatic smitonic, or hard smichromatic, depending on scheme.
7L 4s suprasmitonic Restoration of a noteworthy, former name.
Extension name is m-chro smitonic, soft-chromatic smitonic, or soft smichromatic, depending on scheme. Prefix is susmi-.
daemotonic Eliora Various reasons; see 7L 4s.
9L 2s villatonic Ganaram inukshuk Indirectly references avila and casablanca temperaments. Prefix is vil-.
ultradiatonic, superarmotonic CompactStar In reference to diatonic and armotonic.
12-note mosses
Pattern Suggested name(s) Proposed by Reasoning
1L 11s helenite Ganaram inukshuk In reference to the "ele" substring found in the word "eleven". Prefix is hel-.
5L 7s p-chromatic Restoration of a noteworthy, former name.
6L 6s hexawood Extension of -wood scales; coincidentally references hexe temperament.
7L 5s m-chromatic Restoration of a noteworthy, former name.
13-note mosses
Pattern Suggested name(s) Proposed by Reasoning
1L 12s zircon Ganaram inukshuk Zircon is used as a birthstone for December. Prefix is zir-.
11L 2s hendecoid 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-.
14-note mosses
Pattern Suggested name(s) Proposed by Reasoning
7L 7s heptawood Extension of -wood scales.
13L 1s trollic Godtone The name proposed by Godtone refers to 12L 1s, but it refers to 13L 1s as a troll move. Prefix is tro-.

Other names for mosses with 16 or more notes

Other higher note count mosses
Note count Pattern Suggested name(s) Proposed by Reasoning
17 2L 15s liesic Frostburn Frostburn's naming scheme only goes up to 3 generations, so this name is suggested. Prefix is lisa-.
19 3L 16s magicaltonic Xenllium In reference to magic temperament.
16L 3s muggletonic Xenllium In reference to muggle temperament.
20 3L 17s apritonic Frostburn A meme referencing Apricot XEN computers.
21 10L 11s miracloid Eliora In reference to miracle temperament.
22 3L 19s zheligowskic Frostburn In reference to Lucjan Żeligowski leading fights against the town of Giedraičiai. Proposed prefix is "zheli-".
19L 3s giedraitic Frostburn Named after the basic magic layout of Kite Giedraitis' guitar. Proposed prefix is "kai-".
21L 1s escapist Eliora References escapade temperament, which is supported by both 21edo and 22edo, covering the entire range.
23 22L 1s quartismoid 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.

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.

TAMNAMS mos names extended
11-note mosses
Pattern Name Prefix
1L 10s tanzanite
(p-chro antisinatonic)		 tan
2L 9s antivillatonic
(p-chro balzano)		 anvil
3L 8s p-chro checkertonic none
4L 7s kleistonic
(p-chro smitonic)		 klei
5L 6s p-chro machinoid none
6L 5s m-chro machinoid none
7L 4s daemotonic
(m-chro smitonic)		 susmi
8L 3s m-chro checkertonic none
9L 2s villatonic
(m-chro balzano)		 vil
10L 1s antitanzanite
(m-chro antisinatonic)		 antan
12-note mosses
Pattern Name Prefix
1L 11s helenite
(s-enhar antisinatonic)		 hel
2L 10s p-chro jaric none
3L 9s p-chro tcherepnin none
4L 8s p-chro tetrawood none
5L 7s p-chromatic pychro
6L 6s hexawood hexwd
7L 5s m-chromatic mellow
8L 4s m-chro tetrawood none
9L 3s m-chro tcherepnin none
10L 2s m-chro jaric none
11L 1s antihelenite
(p-enhar antisinatonic)		 anhel
13-note mosses
Pattern Name Prefix
1L 12s zircon
(uha-antisinatonic)		 zir
2L 11s antihendecoid
(s-enhar balzano)		 anhen
3L 10s p-chro sephiroid none
4L 9s p-chro gramitonic none
5L 8s p-chro oneirotonic none
6L 7s p-chro archeotonic none
7L 6s m-chro archeotonic none
8L 5s m-chro oneirotonic none
9L 4s m-chro gramitonic none
10L 3s m-chro sephiroid none
11L 2s hendecoid
(p-enhar balzano)		 hen
12L 1s antizircon
(paha-antisinatonic)		 anzir
14-note mosses
Pattern Name Prefix
1L 13s antrollic antro
2L 12s s-enhar jaric none
3L 11s s-enhar checkertonic none
4L 10s p-chro lime none
5L 9s p-chro semiquartal none
6L 8s p-chro ekic none
7L 7s heptawood heptwd
8L 6s m-chro ekic none
9L 5s m-chro semiquartal none
10L 4s m-chro lime none
11L 3s p-enhar checkertonic none
12L 2s p-enhar jaric none
13L 1s trollic tro
15-note mosses
Pattern Name Prefix
1L 14s p-chro antrollic none
2L 13s uha-balzano none
3L 12s s-enhar tcherepnin none
4L 11s s-enhar smitonic none
5L 10s p-chro pentawood none
6L 9s p-chro hyrulic none
7L 8s p-chro pine none
8L 7s m-chro pine none
9L 6s m-chro hyrulic none
10L 5s m-chro pentawood none
11L 4s p-enhar smitonic none
12L 3s p-enhar tcherepnin none
13L 2s paha-balzano none
14L 1s m-chro antrollic none
16-note mosses
Pattern Name Prefix
1L 15s s-enhar antrollic none
2L 14s uha-jaric none
3L 13s s-enhar sephiroid none
4L 12s s-enhar tetrawood none
5L 11s s-enhar machinoid none
6L 10s p-chro lemon none
7L 9s p-chro superdiatonic none
8L 8s octawood octwd
9L 7s m-chro superdiatonic none
10L 6s m-chro lemon none
11L 5s p-enhar machinoid none
12L 4s p-enhar tetrawood none
13L 3s p-enhar sephiroid none
14L 2s paha-jaric none
15L 1s p-enhar antrollic none
17-note mosses
Pattern Name Prefix
1L 16s uha-antrollic none
2L 15s liesic lisa
3L 14s uha-checkertonic none
4L 13s s-enhar gramitonic none
5L 12s s-enharmonic supen
6L 11s f-enhar machinoid none
7L 10s p-chro dicoid none
8L 9s p-chro subneutralic none
9L 8s m-chro subneutralic none
10L 7s m-chro dicoid none
11L 6s m-enhar machinoid none
12L 5s p-enharmonic pyen
13L 4s p-enhar gramitonic none
14L 3s paha-checkertonic none
15L 2s antiliesic alisa
16L 1s paha-antrollic none
18-note mosses
Pattern Name Prefix
3L 15s uha-tcherepnin none
4L 14s s-enhar lime none
5L 13s s-enhar oneirotonic none
6L 12s p-chro hexawood none
7L 11s f-enhar smitonic none
8L 10s p-chro taric none
9L 9s enneawood ennwd
10L 8s m-chro taric none
11L 7s m-enhar smitonic none
12L 6s m-chro hexawood none
13L 5s p-enhar oneirotonic none
14L 4s p-enhar lime none
15L 3s paha-tcherepnin none
19-note mosses
Pattern Name Prefix
2L 17s p-chro liesic none
3L 16s magicaltonic
(uha-sephiroid)		 none
4L 15s uha-smitonic none
5L 14s s-enhar semiquartal none
6L 13s s-enhar archeotonic none
7L 12s f-enharmonic flaen
8L 11s f-enhar checkertonic none
9L 10s p-chro sinatonic none
10L 9s m-chro sinatonic none
11L 8s m-enhar checkertonic none
12L 7s m-enharmonic meen
13L 6s p-enhar archeotonic none
14L 5s p-enhar semiquartal none
15L 4s paha-smitonic none
16L 3s muggletonic
(paha-sephiroid)		 none
17L 2s m-chro liesic none
20-note mosses
Pattern Name Prefix
4L 16s uha-tetrawood none
5L 15s s-enhar pentawood none
6L 14s s-enhar ekic none
7L 13s f-enhar archeotonic none
8L 12s f-enhar tetrawood none
9L 11s f-enhar balzano none
10L 10s decawood decwd
11L 9s m-enhar balzano none
12L 8s m-enhar tetrawood none
13L 7s m-enhar archeotonic none
14L 6s p-enhar ekic none
15L 5s p-enhar pentawood none
16L 4s paha-tetrawood none
21-note mosses
Pattern Name Prefix
2L 19s s-enhar liesic none
4L 17s uha-gramitonic none
5L 16s uha-machinoid none
6L 15s s-enhar hyrulic none
7L 14s p-chro septawood none
8L 13s f-enhar oneirotonic none
9L 12s f-enhar tcherepnin none
10L 11s f-enhar antisinatonic none
11L 10s m-enhar antisinatonic none
12L 9s m-enhar tcherepnin none
13L 8s m-enhar oneirotonic none
14L 7s m-chro septawood none
15L 6s p-enhar hyrulic none
16L 5s paha-machinoid none
17L 4s paha-gramitonic none
19L 2s p-enhar liesic none
22-note mosses
Pattern Name Prefix
3L 19s zheligowskic zheli
4L 18s uha-lime none
5L 17s reinhardic none
6L 16s s-enhar lemon none
7L 15s s-enhar pine none
8L 14s f-enhar ekic none
9L 13s f-enhar gramitonic none
10L 12s f-enhar jaric none
11L 11s hendecawood hedwd
12L 10s m-enhar jaric none
13L 9s m-enhar gramitonic none
14L 8s m-enhar ekic none
15L 7s p-enhar pine none
16L 6s p-enhar lemon none
17L 5s protofractalic none
18L 4s paha-lime none
19L 3s giedraitic kai
23-note mosses
Pattern Name Prefix
2L 21s uha-liesic none
5L 18s uha-oneirotonic none
6L 17s uso-machinoid none
7L 16s s-enhar superdiatonic none
8L 15s f-enhar pine none
9L 14s f-enhar semiquartal none
10L 13s f-enhar sephiroid none
11L 12s miha-antisinatonic none
12L 11s quha-antisinatonic none
13L 10s m-enhar sephiroid none
14L 9s m-enhar semiquartal none
15L 8s m-enhar pine none
16L 7s p-enhar superdiatonic none
17L 6s paso-machinoid none
18L 5s paha-oneirotonic none
21L 2s paha-liesic none
24-note mosses
Pattern Name Prefix
5L 19s uha-semiquartal none
6L 18s s-enhar hexawood none
7L 17s s-enhar dicoid none
8L 16s p-chro octawood none
9L 15s f-enhar hyrulic none
10L 14s f-enhar lime none
11L 13s miha-balzano none
12L 12s dodecawood dodwd
13L 11s quha-balzano none
14L 10s m-enhar lime none
15L 9s m-enhar hyrulic none
16L 8s m-chro octawood none
17L 7s p-enhar dicoid none
18L 6s p-enhar hexawood none
19L 5s paha-semiquartal none
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