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→Proposal: Naming mosses with more than 10 steps (work-in-progress): wording; added amphisoft/amphihard so soft/hard can be used for three generations of mosses
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|-
|-
| rowspan="15" |1:1 to 1:0
| rowspan="15" |1:1 to 1:0
| rowspan="7" |1:1 to 2:1
| rowspan="7" |1:1 to 2:1 (pansoft or soft)
| rowspan="3" |1:1 to 3:2
| rowspan="3" |1:1 to 3:2 (amphisoft)
|1:1 to 4:3 (ultrasoft)
|1:1 to 4:3 (ultrasoft)
|
|
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|Also called quintessential
|Also called quintessential
|-
|-
| rowspan="7" |2:1 to 1:0
| rowspan="7" |2:1 to 1:0 (panhard or hard)
| rowspan="3" |2:1 to 3:1 (hypohard)
| rowspan="3" |2:1 to 3:1 (hypohard)
|2:1 to 5:2 (minihard)
|2:1 to 5:2 (minihard)
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|Also called monohard
|Also called monohard
|-
|-
| rowspan="3" |3:1 to 1:0
| rowspan="3" |3:1 to 1:0 (amphihard)
|3:1 to 4:1 (parahard)
|3:1 to 4:1 (parahard)
|
|
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|Trivial/pathological
|Trivial/pathological
|}
|}
New names for the ranges excluded by hyposoft and hypohard are included: amphisoft and amphihard, named such as they surround the region that hyposoft and hypohard span. The broadest ranges for soft and hard step ratios are called pansoft and panhard, or simply soft and hard.


=== Extended spectrum ===
=== Extended spectrum ===
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|-
|-
| rowspan="21" |1:1 to 1:0
| rowspan="21" |1:1 to 1:0
| rowspan="9" |1:1 to 2:1
| rowspan="9" |1:1 to 2:1 (soft)
| rowspan="5" |1:1 to 3:2
| rowspan="5" |1:1 to 3:2 (amphisoft)
| rowspan="3" |1:1 to 4:3 (ultrasoft)
| rowspan="3" |1:1 to 4:3 (ultrasoft)
| colspan="2" |1:1 to 6:5 (pseudoequalized)
| colspan="2" |1:1 to 6:5 (pseudoequalized)
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|'''2:1 (basic)'''
|'''2:1 (basic)'''
|-
|-
| rowspan="11" |2:1 to 1:0
| rowspan="11" |2:1 to 1:0 (hard)
| rowspan="3" |2:1 to 3:1 (hypohard)
| rowspan="3" |2:1 to 3:1 (hypohard)
|2:1 to 5:2 (minihard)
|2:1 to 5:2 (minihard)
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|'''3:1 (hard)'''
|'''3:1 (hard)'''
|-
|-
| rowspan="7" |3:1 to 1:0
| rowspan="7" |3:1 to 1:0 (amphihard)
|3:1 to 4:1 (parahard)
|3:1 to 4:1 (parahard)
| colspan="2" |3:1 to 4:1 (parahard)
| colspan="2" |3:1 to 4:1 (parahard)
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== Proposal: Naming mosses with more than 10 steps (work-in-progress) ==
== Proposal: Naming mosses with more than 10 steps (work-in-progress) ==
This is a system for describing scales beyond the set of named TAMNAMS scales. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems, with the main difference here being that mosses are technically not limited to being only three generations away.
This is a system for describing scales beyond the set of named TAMNAMS scales. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems, with the main difference here being how mosses can be named any number of generations away from a named mos.


To name mosses that have more than 10 notes, names are based on existing mosses and how they're related to one another, rather than giving each mos a unique name. The easiest and most general way to do this is to refer to such mosses as a ''mosdescendant''. For consistency, mosdescendant names apply to mosses whose child scales exceed 10 notes. Since all mosses ultimately descend from some nL ns mos, every possible mosdescendant (at least up to 5 periods), will be related to some mos that has a TAMNAMS name. These mosses are shown in the table below in '''bold'''.
To name mosses that have more than 10 notes, names are based on existing mosses and how they're related to one another, rather than giving each mos a unique name. The easiest and most general way to do this is to refer to such mosses as a ''mosdescendant''. For consistency, mosdescendant names apply to mosses whose child scales exceed 10 notes. Since all mosses ultimately descend from some nL ns mos, every possible mosdescendant (at least up to 5 periods), will be related to some mos that has a TAMNAMS name. These mosses are shown in the table below in '''bold'''.
Line 1,151: Line 1,152:
Child, grandchild, and great-grandchild names can also be referred to as the following:
Child, grandchild, and great-grandchild names can also be referred to as the following:


* The child mos of a named mos can be called ''moschromatic''.
* A 1st-mosdescendant, or child mos, can be called a ''moschromatic'' scale.
* The grandchild mos of a named mos can be called ''mosenharmonic''.
* A 2nd-mosdescendant, or grandchild mos, can be called a ''mosenharmonic'' scale.
* The great-grandchild of a mos can be called ''mossubchromatic''. (tentative name; open to better suggestions)
* A 3rd-mosdescendant, or great-grandchild mos, can be called a ''mossubchromatic'' scale. (tentative name; open to better suggestions)


As with mosdescendants, the prefix of mos- can be replaced with the prefix of the related mos, and the absence of a prefix refers to the descendants of diatonic (5L 2s).
As with mosdescendants, the prefix of mos- can be replaced with the prefix of the related mos, and the absence of a prefix refers to the descendants of diatonic (5L 2s).


The designations of moschromatic, mosenharmonic, and mossubchromatic refer to one of 2, 4, and 8 possible mosses respectively. To describe a specific mosdescendant, the step ratio can be prefixed to the name of the mosdescendant. Specifying the step ratio of these mosdescendants 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.)
The designations of moschromatic, mosenharmonic, and mossubchromatic refer to one of 2, 4, and 8 possible mosses respectively. To describe a specific mosdescendant, the name of a step ratio range can be prefixed to the name of the mosdescendant. Specifying the step ratio of these mosdescendants 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.)
{| class="wikitable"
{| class="wikitable"
|+Mosdescendant scales sorted by step ratio
|+Mosdescendant scales sorted by step ratio
! colspan="2" |Parent scale
! colspan="2" |Parent scale
! colspan="4" |Moschromatic (child) scales
! colspan="4" |Moschromatic (child) scales
! colspan="4" |Mosenharmonic (grandchild) scales
! colspan="6" |Mosenharmonic (grandchild) scales
! colspan="4" |Mossubchromatic (great-grandchild) scales
! colspan="6" |Mossubchromatic (great-grandchild) scales
|-
|-
!Steps
! rowspan="2" |Steps
!General range
! rowspan="2" |L:s range
!Steps
! 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
! rowspan="2" |Steps
! colspan="2" |Broad prefixes
! colspan="2" |Specific prefixes
! rowspan="2" |L:s range
|-
!Prefix
!Abbrev.
!Prefix
!Prefix
!Abbrev.
!Abbrev.
!General range
!Steps
!Prefix
!Prefix
!Abbrev.
!Abbrev.
!General range
!Steps
!Prefix
!Prefix
!Abbrev.
!Abbrev.
!General range
|-
|-
| rowspan="8" |xL ys
| rowspan="8" |xL ys
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| rowspan="4" |soft-
| rowspan="4" |soft-
| rowspan="4" |s-
| rowspan="4" |s-
| rowspan="4" |1:1 to 2:1 (general soft range)
| rowspan="4" |1:1 to 2:1
| rowspan="2" |(x+y)L (2x+y)s
| rowspan="2" |(x+y)L (2x+y)s
| rowspan="2" |soft-
| rowspan="4" |soft-
| rowspan="2" |s-
| rowspan="4" |s-
| rowspan="2" |amphisoft-
| rowspan="2" |as-
| rowspan="2" |1:1 to 3:2
| rowspan="2" |1:1 to 3:2
|(x+y)L (3x+2y)s
|(x+y)L (3x+2y)s
| rowspan="4" |soft
| rowspan="4" |s-
|ultrasoft-
|ultrasoft-
|us-
|us-
|1:1 to 4:3 (ultrasoft)
|1:1 to 4:3
|-
|-
|(3x+2y)L (x+y)s
|(3x+2y)L (x+y)s
|parasoft-
|parasoft-
|ps-
|ps-
|4:3 to 3:2 (parasoft)
|4:3 to 3:2
|-
|-
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |hyposoft-
| rowspan="2" |hyposoft-
| rowspan="2" |os-
| rowspan="2" |os-
| rowspan="2" |3:2 to 2:1 (hyposoft)
| rowspan="2" |3:2 to 2:1
|(3x+2y)L (2x+y)s
|(3x+2y)L (2x+y)s
|quasisoft-
|quasisoft-
|qs-
|qs-
|3:2 to 5:3 (quasisoft)
|3:2 to 5:3
|-
|-
|(2x+y)L (3x+2y)s
|(2x+y)L (3x+2y)s
|minisoft-
|minisoft-
|ms-
|ms-
|5:3 to 2:1 (minisoft)
|5:3 to 2:1
|-
|-
| rowspan="4" |xL (x+y)s
| rowspan="4" |xL (x+y)s
| rowspan="4" |hard-
| rowspan="4" |hard-
| rowspan="4" |h-
| rowspan="4" |h-
| rowspan="4" |2:1 to 1:0 (general hard range)
| rowspan="4" |2:1 to 1:0
| rowspan="2" |(2x+y)L xs
| rowspan="2" |(2x+y)L xs
| rowspan="4" |hard
| rowspan="4" |h-
| rowspan="2" |hypohard-
| rowspan="2" |hypohard-
| rowspan="2" |oh-
| rowspan="2" |oh-
| rowspan="2" |2:1 to 3:1 (hypohard)
| rowspan="2" |2:1 to 3:1
|(2x+y)L (3x+y)s
|(2x+y)L (3x+y)s
| rowspan="4" |hard
| rowspan="4" |h-
|minihard-
|minihard-
|mh-
|mh-
|2:1 to 5:2 (minihard)
|2:1 to 5:2
|-
|-
|(3x+y)L (2x+y)s
|(3x+y)L (2x+y)s
|quasihard-
|quasihard-
|qh-
|qh-
|5:2 to 3:1 (quasihard)
|5:2 to 3:1
|-
|-
| rowspan="2" |xL (2x+y)s
| rowspan="2" |xL (2x+y)s
| rowspan="2" |hard-
| rowspan="2" |amphihard-
| rowspan="2" |h-
| rowspan="2" |ah-
| rowspan="2" |3:1 to 1:0
| rowspan="2" |3:1 to 1:0
|(3x+y)L xs
|(3x+y)L xs
|parahard-
|parahard-
|ph-
|ph-
|3:1 to 4:1 (parahard)
|3:1 to 4:1
|-
|-
|xL (3x+y)s
|xL (3x+y)s
|ultrahard-
|ultrahard-
|uh-
|uh-
|4:1 to 1:0 (ultrahard)
|4:1 to 1:0
|}
|}
The terms ''soft'' and ''hard'' (as well as ''hyposoft'' and ''hypohard'') may be used for mossubchromatic mosses to refer to a mossubchromatic scale with a more general step ratio, producing the terms ''soft-mossubchromatic'' and ''hard-mossubchromatic''. This results in terminology that's more precise than just ''mossubchromatic'' but not as specific as the eight possible names. To avoid confusion, the specific step ratio prefixes used for mossubchromatic scales should not be used for moschromatic or mosenharmonic scales.
These prefixes are used for specific mosdescendants, with the notable exception of ''soft'' and ''hard''. Those terms may also be used for mosenharmonic and mossubchromatic mosses, producing terminology that is more precise than just ''mosenharmonic'' or ''mossubchromatic'' but not as specific as their step ratio ranges. To avoid confusion, the specific step ratio prefixes used for mosenharmonic and mossubchromatic scales should not be used for moschromatic scales or each other.
 
Note: since soft and hard can be used for all three generations, the terms amphisoft and amphihard had to be made since there are no step ratio range names for the ranges outside of hyposoft and hypohard.


=== Names for mosdescendants with more than 5 periods ===
=== Names for mosdescendants with more than 5 periods ===
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!Prefix
!Prefix
!Abbrev.
!Abbrev.
|-
|3L 3s
|triwood
|triwud-
|trw
|-
|4L 4s
|tetrawood
|tetwud-
|ttw
|-
|5L 5s
|pentawood
|penwud-
|pw
|-
|-
|6L 6s
|6L 6s
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|dkw
|dkw
|}
|}
To keep names simple, the names for mosdescendants for mosses with 3 periods or more don't use the names of moschromatic, mosenharmonic, or mossubchromatic, but rather based on the term ''mosdescendant'' with the mos's prefix added accordingly, or more generally, ''n-wood descendants''. The number of generations from nL ns can also be specified.
To keep names simple, the names for mosdescendants for mosses with 3 periods or more don't use the names of moschromatic, mosenharmonic, or mossubchromatic, but rather based on the term ''mosdescendant'' with the mos's prefix added accordingly, or more generally, written as ''n-wood descendants''. The number of generations from nL ns can also be specified.


=== Reasoning for names ===
=== Reasoning for names ===
The names for moschromatic scales are based on former names for the child scales for diatonic (5L 2s) - p-chromatic for 5L 7s and m-chromatic for 7L 5s - and was generalized to "moschromatic". The term enharmonic is a term already in use to describe the grandchild mosses of diatonic, and so was generalized to mosenharmonic. The term subchromatic is a term coined by Mike Battaglia to describe a scale that is more chromatic than either chromatic or enharmonic, and is generalized to mossubchromatic.
The names for moschromatic scales are based on former names for the child scales for diatonic (5L 2s) - p-chromatic for 5L 7s and m-chromatic for 7L 5s - and was generalized to "moschromatic". The term enharmonic is a term already in use to describe the grandchild mosses of diatonic, and so was generalized to mosenharmonic. The term subchromatic is a term coined by Mike Battaglia to describe a scale that is more chromatic than either chromatic or enharmonic, and is generalized to mossubchromatic.


Various people have suggested the use of p- and m- as prefixes to refer to specific moschromatic scales, as well as the use of f- and s- for mosenharmonic scales. Generalizing the pattern to 3rd-mosdescendants revealed an issue where the letters started to diverge and resulted in a binary tree that was no longer symmetric with how new letters are added. Specifically, the m- and p- prefixes are no longer at the middle. Rather than to use these letters and to maintain temperament agnosticism, prefixes based on step ratios are used instead.
Various people have suggested the use of p- and m- as prefixes to refer to specific moschromatic scales, as well as the use of f- and s- for mosenharmonic scales. Generalizing the pattern to 3rd-mosdescendants reveals an issue where the letters started to diverge from one another, notably where m- is no longer next to p- and f- and s- are no longer along the extremes. Rather than to use these letters and to maintain temperament agnosticism, prefixes based on step ratios are used instead.
{| class="wikitable"
{| class="wikitable"
|+Temperament-based mosdescendant prefixes
|+Temperament-based mosdescendant prefixes
! rowspan="2" |Diatonic scale
! rowspan="2" |Diatonic scale
! colspan="2" |Child scales
! colspan="3" |Child scales
! colspan="2" |Grandchild scales
! colspan="3" |Grandchild scales
! colspan="3" |Great-grandchild scales
! colspan="3" |Great-grandchild scales
|-
|-
!Steps
!Steps
!Notable temperament
!Notable temperament
!Prefix
!Steps
!Steps
!Notable temperament
!Notable temperament
!Prefix
!Steps
!Steps
!Notable temperament
!Notable temperament
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| rowspan="4" |[[7L 5s]]
| rowspan="4" |[[7L 5s]]
| rowspan="4" |meantone
| rowspan="4" |meantone
| rowspan="4" |m-
| rowspan="2" |[[7L 12s]]
| rowspan="2" |[[7L 12s]]
| rowspan="2" |flattone
| rowspan="2" |flattone
| rowspan="2" |f-
|[[7L 19s]]
|[[7L 19s]]
|tridecimal
|tridecimal
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|-
|-
|[[19L 7s]]
|[[19L 7s]]
|'''flattone'''
|flattone
|f-
|f-
|-
|-
| rowspan="2" |[[12L 7s]]
| rowspan="2" |[[12L 7s]]
| rowspan="2" |meantone
| rowspan="2" |meantone
| rowspan="2" |m-
|[[19L 12s]]
|[[19L 12s]]
|'''meanpop'''
|meanpop
|m-
|m-
|-
|-
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| rowspan="4" |[[5L 7s]]
| rowspan="4" |[[5L 7s]]
| rowspan="4" |pythagorean
| rowspan="4" |pythagorean
| rowspan="4" |p-
| rowspan="2" |[[12L 5s]]
| rowspan="2" |[[12L 5s]]
| rowspan="2" |pythagorean
| rowspan="2" |pythagorean
| rowspan="2" |p-
|[[12L 17s]]
|[[12L 17s]]
|'''pythagorean'''
|pythagorean
|p-
|p-
|-
|-
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| rowspan="2" |[[5L 12s]]
| rowspan="2" |[[5L 12s]]
| rowspan="2" |superpyth
| rowspan="2" |superpyth
| rowspan="2" |s-
|[[17L 5s]]
|[[17L 5s]]
|'''superpyth'''
|superpyth
|s-
|s-
|-
|-
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|u-
|u-
|}
|}
The temperament-based prefixes may be used specifically for diatonic descendants rather than prefixes based on step ratios, effectively bringing back the names of p-chromatic and m-chromatic.
The temperament-based prefixes may be used specifically for diatonic descendants as alternatives to the prefixes based on step ratios, effectively bringing back the names of p-chromatic and m-chromatic.


=== Other notes ===
=== Other notes ===
Retrieved from "https://en.xen.wiki/w/User:Ganaram_inukshuk/Notes/TAMNAMS"