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→Names for mosses beyond 10 notes (proposed): Reorganized name suggestions; reorganized mos descendant naming section to reflect main tamnams extension page
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== Naming mos descendants ==
== Naming mos descendants ==
To name mosses that have more than 10 notes, rather than giving mosses unique names, names are based on how they're related to another (named) mos.
To name mosses that have more than 10 notes, rather than giving mosses unique names, names are based on how they're related to another (named) mos and, optionally, what step ratio is needed for the parent to produce that mos.
*A child mos is a ''chromatic mos'' or ''chromatic (mos name).''
{| class="wikitable"
*A grandchild mos is an ''enharmonic mos'' or ''enharmonic (mos name)''.
! colspan="12" |Base names
*A great-grandchild mos is a ''subchromatic mos'' or ''subchromatic (mos name)''.
|-
*A mos that is more than 3 generations away is called a ''descendant mos'' or ''(mos name) descendant''.
! colspan="2" |Parent mos
These phrases may also be shortened by adding the mos's prefix to the terms ''chromatic'', ''enharmonic'', ''subchromatic'', or ''descendant'' respectively, if the named mos has no more than 3 periods. Additionally, the terms ''chromatic'', ''enharmonic'', and ''subchromatic'' may be used generally to refer to an entire generation of mosses (2, 4, or 8 possible mosses respectively) rather than a specific mos. The term ''descendant'' may also be used generally to refer to any mos any number of generations away from a named mos.
! colspan="3" |Child (1st descendant)
! colspan="3" |Grandchild (2nd descendant)
! colspan="3" |Great-grandchild (3rd descendant)
!''k''th descendant
|-
| colspan="2" |''(mos-name)''
| colspan="3" |''(step-ratio)'' chromatic ''(mos-name)''
''(step-ratio) (mos-prefix)''enharmonic
| colspan="3" |''(step-ratio)'' enharmonic ''(mos-name)''
''(step-ratio) (mos-prefix)''enharmonic
| colspan="3" |''(step-ratio)'' subchromatic ''(mos-name)''
''(step-ratio) (mos-prefix)''subchromatic
|''(k''th'') (mos-name)'' descendant
''(k''th'')-(mos-prefix)''descendant
|-
! colspan="12" |Step ratios (optional)
|-
! colspan="2" |Parent mos
! colspan="3" |Child (1st descendant)
! colspan="3" |Grandchild (2nd descendant)
! colspan="3" |Great-grandchild (3rd descendant)
!''k''th descendant
|-
!Mos
!L:s range
!Mos
!Step ratio (abbrev.)
!L:s range
!Mos
!Step ratio (abbrev.)
!L:s range
!Mos
!Step ratio (abbrev.)
!L:s range
!Prefixes not applicable
|-
| rowspan="8" |xL ys
| rowspan="8" |1:1 to 1:0
| rowspan="4" |(x+y)L xs
| rowspan="4" |soft (s-)
| rowspan="4" |1:1 to 2:1
| rowspan="2" |(x+y)L (2x+y)s
| rowspan="2" |soft (s-)
| rowspan="2" |1:1 to 3:2
|(x+y)L (3x+2y)s
|ultrasoft (us-)
|1:1 to 4:3
| rowspan="8" |
|-
|(3x+2y)L (x+y)s
|parasoft (ps-)
|4:3 to 3:2
|-
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |hyposoft (os-)
| rowspan="2" |3:2 to 2:1
|(3x+2y)L (2x+y)s
|quasisoft (qs-)
|3:2 to 5:3
|-
|(2x+y)L (3x+2y)s
|minisoft (ms-)
|5:3 to 2:1
|-
| rowspan="4" |xL (x+y)s
| rowspan="4" |hard (h-)
| rowspan="4" |2:1 to 1:0
| rowspan="2" |(2x+y)L xs
| rowspan="2" |hypohard (oh-)
| rowspan="2" |2:1 to 3:1
|(2x+y)L (3x+y)s
|minihard (mh-)
|2:1 to 5:1
|-
|(3x+y)L (2x+y)s
|quasihard (qh-)
|5:2 to 3:1
|-
| rowspan="2" |xL (2x+y)s
| rowspan="2" |hard (h-)
| rowspan="2" |3:1 to 1:0
|(3x+y)L xs
|parahard (ph-)
|3:1 to 4:1
|-
|xL (3x+y)s
|ultrahard (uh-)
|4:1 to 1:0
|}
Mos descendant names have two main forms: a multi-part name, where the base name (''chromatic'', ''enharmonic'', ''subchromatic'', and ''descendant'') and mos name are separate words, and a one-part name, formed by prefixing the mos's prefix to the base names. The latter form is recommended for mosses with no more than three periods, as the only 4 and 5-period mosses named by TAMNAMS are tetrawood and pentawood respectively. Step ratio names, if present, may be written out fully or abbreviated, followed by a hyphen.


Optionally, for the phrase ''mos descendant,'' the number of generations away from a named mos can be specified, producing the terms ''nth mos descendant'', ''nth (mos name) descendant,'' and ''nth (mos-prefix)descendant'', using the algorithm below to find ''n'':
The term ''k''th descendant can be used to refer to any mos that descends from another mos, regardless of how many generations apart the two are. To find the number of generations ''n'' separating the two mosses, use the following algorithm:
#Let z and w be the number of large and small steps of the parent mos to be found. Assign to z and w the values x and y respectively. Let n = 0, where n is the number of generations away from zL ws.
#Let z and w be the number of large and small steps of the parent mos to be found. Assign to z and w the values x and y respectively. Let n = 0, where n is the number of generations away from zL ws.
#Let m1 be equal to max(z, w) and m2 be equal to min(z, w).
#Let m1 be equal to max(z, w) and m2 be equal to min(z, w).
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|9A 19B, 10A 19B
|9A 19B, 10A 19B
|sinenharmonic
|sinenharmonic
|}
===Naming mos descendants by step ratio===
The designations of chromatic, enharmonic, and subchromatic by themselves does not describe a specific mos descendant. The name of a step ratio range can be prefixed to the terms ''chromatic'', ''enharmonic'', and ''subchromatic'' (or ''(mos-prefix)chromatic'', ''(mos-prefix)enharmonic'', and ''(mos-prefix)subchromatic''). Specifying the step ratio is optional, and the names for step ratios can be abbreviated into a one or two-letter prefix. (Frostburn's abbreviations can be used here, too.) These prefixes are used for specific descendants, with the notable exception of ''soft'' and ''hard''. For enharmonic mosses, these describe mosses with a step ratio outside the hyposoft and hypohard range. For subchromatic mosses, these describe mosses within the entire soft and hard ranges, producing terminology more specific than just ''subchromatic'' but not as specific as the specific step ratio ranges. These prefixes must include a hyphen.
{| class="wikitable"
|+Descendant mosses sorted by generation and step ratio
! colspan="2" |Parent mos
! colspan="4" |Chromatic mosses
! colspan="4" |Enharmonic mosses
! colspan="6" |Subchromatic mosses
|-
! rowspan="2" |Steps
! rowspan="2" |L:s range
! rowspan="2" |Steps
! rowspan="2" |Prefix
! rowspan="2" |Abbrev.
! rowspan="2" |L:s range
! rowspan="2" |Steps
! rowspan="2" |Prefix
! rowspan="2" |Abbrev.
! rowspan="2" |L:s range
! rowspan="2" |Steps
! colspan="2" |Broad prefixes
! colspan="2" |Specific prefixes
! rowspan="2" |L:s range
|-
!Prefix
!Abbrev.
!Prefix
!Abbrev.
|-
| rowspan="8" |xL ys
| rowspan="8" |1:1 to 1:0
| rowspan="4" |(x+y)L xs
| rowspan="4" |soft-
| rowspan="4" |s-
| rowspan="4" |1:1 to 2:1
| rowspan="2" |(x+y)L (2x+y)s
| rowspan="2" |soft-
| rowspan="2" |s-
| rowspan="2" |1:1 to 3:2
|(x+y)L (3x+2y)s
| rowspan="4" |soft-
| rowspan="4" |s-
|ultrasoft-
|us-
|1:1 to 4:3
|-
|(3x+2y)L (x+y)s
|parasoft-
|ps-
|4:3 to 3:2
|-
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |hyposoft-
| rowspan="2" |os-
| rowspan="2" |3:2 to 2:1
|(3x+2y)L (2x+y)s
|quasisoft-
|qs-
|3:2 to 5:3
|-
|(2x+y)L (3x+2y)s
|minisoft-
|ms-
|5:3 to 2:1
|-
| rowspan="4" |xL (x+y)s
| rowspan="4" |hard-
| rowspan="4" |h-
| rowspan="4" |2:1 to 1:0
| rowspan="2" |(2x+y)L xs
| rowspan="2" |hypohard-
| rowspan="2" |oh-
| rowspan="2" |2:1 to 3:1
|(2x+y)L (3x+y)s
| rowspan="4" |hard-
| rowspan="4" |h-
|minihard-
|mh-
|2:1 to 5:2
|-
|(3x+y)L (2x+y)s
|quasihard-
|qh-
|5:2 to 3:1
|-
| rowspan="2" |xL (2x+y)s
| rowspan="2" |hard-
| rowspan="2" |h-
| rowspan="2" |3:1 to 1:0
|(3x+y)L xs
|parahard-
|ph-
|3:1 to 4:1
|-
|xL (3x+y)s
|ultrahard-
|uh-
|4:1 to 1:0
|}
{| class="wikitable"
|+Example with balzano (2L 7s)
! colspan="2" |Balzano (parent)
! colspan="2" |Chromatic balzano
! colspan="2" |Enharmonic balzano
! colspan="3" |Subchromatic balzano
|-
!Steps
!Name
!Steps
!Name
!Steps
!Name
!Steps
!Broad name
!Specific name
|-
| rowspan="8" |2L 7s
| rowspan="8" |balzano
| rowspan="4" |9L 2s
| rowspan="4" |s-balchromatic
| rowspan="2" |9L 11s
| rowspan="2" |s-balenharmonic
|9L 20s
| rowspan="4" |s-balsubchromatic
|us-balsubchromatic
|-
|20L 9s
|ps-balsubchromatic
|-
| rowspan="2" |11L 9s
| rowspan="2" |os-balenharmonic
|20L 11s
|qs-balsubchromatic
|-
|11L 20s
|ms-balsubchromatic
|-
| rowspan="4" |2L 9s
| rowspan="4" |h-balchromatic
| rowspan="2" |11L 2s
| rowspan="2" |oh-balenharmonic
|11L 13s
| rowspan="4" |h-balsubchromatic
|mh-balsubchromatic
|-
|13L 11s
|qh-balsubchromatic
|-
| rowspan="2" |2L 11s
| rowspan="2" |h-balenharmonic
|13L 2s
|ph-balsubchromatic
|-
|2L 13s
|uh-balsubchromatic
|}
|}
==Other mos names==
==Other mos names==
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== Names for mosses beyond 10 notes (proposed) ==
== Names for mosses beyond 10 notes (proposed) ==
This section outlines proposed names and naming suggestions for mosses beyond 10 notes.
=== Former names worth restoring ===
At one point, TAMNAMS had tenuously named mosses up to 12 notes. Following reorganization back in August of 2022, many temperament-suggestive names were replaced, and names for 11 and 12-note mosses were dropped. Of those, these names are (in my opinion) worth restoring, either because these names are noteworthy (eg, m- and p-chromatic) or because these temperament-suggestive names are better suited as names for child mosses (eg, 3L 5s was named sensoid).
{| class="wikitable"
{| class="wikitable"
! colspan="4" |11-note mosses
! colspan="3" |11-note mosses
|-
|-
!Mos
!Mos
!Name
!Name
!Reasoning
!Reasoning
!Other names
|-
|1L 10s
|tanzanite
|Ten-zanite, named similarly to onyx
|
|-
|-
|2L 9s
|2L 9s
|jonatonic
|jonatonic
|Modification of an old name (joanatonic) that applied to its parent scale
|Modification of an old name (joanatonic) that applied to its parent scale
|
|-
|3L 8s
|
|
|
|-
|-
|4L 7s
|4L 7s
|kleistonic
|kleistonic
|Restoration of an old name
|Restoration of an old name
|
|-
|-
|5L 6s
|5L 6s
|
|xeimtonic
|
|Restoration of an old name
|
|-
|6L 5s
|
|
|
|-
|-
|7L 4s
|7L 4s
|prasmitonic
|prasmitonic
|Modification of an old name (suprasmitonic)
|Modification of an old name (suprasmitonic)
|suprasmitonic
|-
|-
|8L 3s
|8L 3s
|sentonic
|sentonic
|Modification of an old name (sensoid) that applied to its parent scale
|Modification of an old name (sensoid) that applied to its parent scale
|
|-
|-
|9L 2s
|9L 2s
|villatonic
|villatonic
|Indirectly references avila casablanca temperaments
|Indirectly references avila casablanca temperaments
|
|-
|-
|10L 1s
|10L 1s
|miratonic
|miratonic
|Modification of an old name (miraculoid)
|Modification of an old name (miraculoid)
|
|-
|-
! colspan="4" |12-note mosses
! colspan="3" |12-note mosses
|-
|-
!Mos
!Mos
!Name
!Name
!Reasoning
!Reasoning
!Other names
|-
|1L 11s
|helenite
|"ele" from helenite and eleven
|
|-
|2L 10s
|
|
|
|-
|3L 9s
|
|
|
|-
|4L 8s
|
|
|
|-
|-
|5L 7s
|5L 7s
|pychromatic
|pychromatic
|Modification of an old name (p-chromatic)
|Modification of an old name (p-chromatic)
|p-chromatic
|-
|-
|6L 6s
|6L 6s
|hexawood
|hexawood
|Extension of -wood scales
|Extension of -wood scales, already part of other TAMNAMS extension proposals
|
|-
|-
|7L 5s
|7L 5s
|emchromatic
|emchromatic
|Modification of an old name (m-chromatic)
|Modification of an old name (m-chromatic)
|m-chromatic
|-
|8L 4s
|
|
|
|-
|9L 3s
|
|
|
|-
|10L 2s
|
|
|
|-
|-
|11L 1s
|11L 1s
|ripploid
|ripploid
|Restoration of an old name
|Restoration of an old name
|
|-
|-
! colspan="4" |13-note mosses
! colspan="3" |13-note mosses
|-
|-
!Mos
!Mos
!Name
!Name
!Reasoning
!Reasoning
!Other names
|-
|-
|1L 12s
|9L 4s
|zircon
|orwelloid
|Zircon is a birthstone for December, the 12th month
|Restoration of an old name that applied to its parent scale
|
|}
 
=== Names for monolarge mosses ===
These name suggestions are based on a proposal to rename some of the monolarge mosses to be based on gemstones and minerals, following the logic set forth for the name "onyx" for 1L 6s.
{| class="wikitable"
|+
!Mos
!Proposed name
!Current name
!Reasoning
|-
|-
|2L 11s
|1L 6s
|
|
|
|
|onyx
|"from ''a lot'' of naming puns"
|-
|-
|3L 10s
|1L 7s
|
|spinel
|
|antipine
|
|Contains the substring "pine"
|-
|-
|4L 9s
|1L 8s
|
|agate
|
|antisubneutralic
|
|Rhymes with eight
|-
|-
|5L 8s
|1L 9s
|
|olivine
|
|antisinatonic
|
|Rhymes with nine
|-
|-
|6L 7s
|1L 10s
|
|tanzanite, tenorite
|
|
|
|"ten"
|-
|-
|7L 6s
|1L 11s
|(te)tarquintal
|helenite
|"quarter fifth" scale, referencing temperaments that divide the fifth into four
|
|
|"ele" substring is part of "eleven"
|-
|-
|8L 5s
|1L 12s
|zircon
|
|
|
|Zircon is used as a birthstone for December
|petroid (searching this name redirects to 8L 5s)
|}
 
=== Other suggestions ===
{| class="wikitable"
|-
|-
|9L 4s
!Mos(ses)
|orwelloid
!Notes
|Restoration of an old name that applied to its parent scale
!Name
|
!Reasoning
!Other names
|-
|-
|10L 3s
|7L 6s
|
|13
|tetarquintal
|"Quarter fifth" scale, referencing temperaments that divide the fifth into four
|
|
|luachoid (already proposed name)
|-
|-
|11L 2s
|11L 2s
|13
|maioquartal
|maioquartal
|"Major fourths" scale, as used by Tcherepnin
|"Major fourth" scale, as used by Tcherepnin
|hendecoid (proposed by Eliora)
|hendecoid (proposed by Eliora)
|-
|-
|12L 1s
|12L 1s
|13
|quasidozenal
|quasidozenal
|"almost twelve"
|"almost twelve"
Retrieved from "https://en.xen.wiki/w/User:Ganaram_inukshuk/TAMNAMS_Extension"