Xenharmonic Wiki

User:Ganaram inukshuk/Notes/TAMNAMS: Difference between revisions

← Older editNewer edit →
VisualWikitext
Ganaram inukshuk (talk | contribs)
autopatrolled
4,810 edits
m →Naming mosses with more than 10 steps: Corrected some naming errors
Ganaram inukshuk (talk | contribs)
autopatrolled
4,810 edits
→Mosdescendents for multi-period mosses (in-progress): Better worded rules for n-period mosses; spelling of descendant; some clarification
Line 643: Line 643:
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, though this is focused on naming single-period mosses up to three generations after a parent scale.
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, though this is focused on naming single-period mosses up to three generations after a parent scale.


=== General names for mosdescendent scales ===
=== General names for mosdescendant scales ===
Although naming scales beyond the current cap of 10 notes is antithetical to the purpose of TAMNAMS, a general description can still be made without establishing concrete names, while using names for already named scales. The rules are described as such:
Although naming scales beyond the current cap of 10 notes is antithetical to the purpose of TAMNAMS, names based on existing names can be made systematically. The rules are described as such:


* If the scale is the child of the parent scale, then the scale is '''moschromatic'''.
* If the scale is the child of a named parent scale, then the scale is '''moschromatic'''.
* If the scale is the grandchild of the parent scale, then the scale is '''mosenharmonic.'''
* If the scale is the grandchild of a named parent scale, then the scale is '''mosenharmonic.'''
* If the scale is the great-grandchild of the parent scale, then the scale is '''mosschismic'''. (tentative name; [[Schismatic family|schismic]] refers to a family of temperaments; open to better name suggestions)
* If the scale is the great-grandchild of a named parent scale, then the scale is '''mosschismic'''. (tentative name; [[Schismatic family|schismic]] refers to a family of temperaments; open to better name suggestions)
* If the scale is more than 3 generations from the parent scale, or if referring to a scale regardless of number of generations from the parent, then the scale is a '''mosdescendent''' scale.
* If the scale is more than 3 generations from a named parent scale, or if referring to a scale regardless of number of generations from the parent, then the scale is a '''mosdescendant''' scale.


For describing the scales of a named mos, the prefix of mos- is removed and replaced with the mos's prefix instead. For example, the child, grandchild, and great-grandchild scales for the mos 5L 3s (oneirotonic, prefix oneiro-) are oneirochromatic, oneiroenharmonic, and oneiroschismic respectively, and the entire family of mosses related to oneirotonic are oneirodescendents.
For describing the scales of a named mos, the prefix of mos- is removed and replaced with the mos's prefix instead. For example, the child, grandchild, and great-grandchild scales for the mos 5L 3s (oneirotonic, prefix oneiro-) are oneirochromatic, oneiroenharmonic, and oneiroschismic respectively, and the entire family of mosses related to oneirotonic are oneirodescendants.


Additionally, the lack of a prefix will specifically describe the descendent scales of 5L 2s: chromatic, enharmonic, and schismic. Descendents of 5L 2s are referred to as "diatonic descendents" rather than "descendents".
Additionally, the lack of a prefix will specifically describe the descendent scales of 5L 2s: chromatic, enharmonic, and schismic. Descendents of 5L 2s are referred to as "diatonic descendants" rather than "descendants".


In the general case, moschromatic refers to one of two child scales, mosenharmonic refers to one of four grandchild scales, and mosschismic refers to one of eight great-grandchild scales. Specific scales can be referred to by adding an additional prefix; the table below shows those prefixes and the step ratios (of the parent mos) for which they apply. Note that the table shows all possible mosdescendent scales up to three generations, across the entire spectrum of step ratios; specifying a step ratio to any one mos will "lock" the chain of descendents to a single line.
In the general case, moschromatic refers to one of two child scales, mosenharmonic refers to one of four grandchild scales, and mosschismic refers to one of eight great-grandchild scales. Specific scales can be referred to by adding an additional prefix; the table below shows those prefixes and the step ratios (of the parent mos) for which they apply. Note that the table shows all possible mosdescendant scales up to three generations, across the entire spectrum of step ratios; specifying a step ratio to any one mos will "lock" the chain of descendants to a single line.
{| class="wikitable"
{| class="wikitable"
|+Mosdescendent scales sorted by step ratio
|+Mosdescendant scales sorted by step ratio
! colspan="3" |Parent scale
! colspan="3" |Parent scale
! colspan="4" |Moschromatic (child) scales
! colspan="4" |Moschromatic (child) scales
Line 805: Line 805:
|}
|}


=== Mosdescendents for single-period mosses ===
=== Mosdescendants for single-period mosses ===
Although it's possible for any mos to have mosdescendents named as described above, for neatness, mosdescendent scale names should apply only to mosses whose immediate child mosses exceed 10 steps. The following tables show which mosses, marked in '''bold''', mosdescendent names can apply.
Although it's possible for any mos to have mosdescendants named as described above, for neatness, mosdescendant scale names should apply only to mosses whose immediate child mosses exceed 10 steps. The following tables show which mosses, marked in '''bold''', mosdescendant names can apply.
{| class="wikitable"
{| class="wikitable"
|+Single-period mosses for which mosdescendent names apply
|+Single-period mosses for which mosdescendant names apply
!Mos
!Mos
!Name
!Name
Line 913: Line 913:
|}
|}


=== Mosdescendents for multi-period mosses (in-progress) ===
=== Mosdescendants for multi-period mosses ===
TAMNAMS has names for 2-period mosses up to 10 notes and 3-period mosses up to 9 notes. The rules apply for the names shown in bold below.
TAMNAMS has names for 2-period mosses up to 10 notes, and as such, mosdescendant names apply to mosses whose children have more than 10 notes: jaric, taric, ekic, lemon, and lime. Starting at 3 periods, mosdescendant names apply only to the scale corresponding n-wood scale (triwood, tetrawood, pentawood, etc), where the names of descendants are based on names for single-period mosses up to 5, with any descendants after that being referred to '''n-wood descendants'''. Currently, tetrawood and pentawood (4L 4s and 5L 5s) only have pages for their immediate children (2L 4s and 8L 4s, and 5L 10s and 10L 5s respectively), so although it may make more sense to limit mosdescendant names for n-wood scales to the immediate children, names for n-wood scales up to 5n notes are shown anyway for completeness.
{| class="wikitable"
{| class="wikitable"
|+Multi-period mosses for which mosdescendent names apply
|+2-period mosses for which mosdescendant names apply
! colspan="8" |2-period mosses
! colspan="8" |2-period mosses
! rowspan="7" |
! colspan="4" |3-period mosses
|-
|-
!Mos
!Name
!Mos
!Name
!Mos
!Mos
!Name
!Name
Line 934: Line 928:
!Name
!Name
|-
|-
| rowspan="5" |2L 2s
| rowspan="5" |[[2L 2s]]
| rowspan="5" |biwood
| rowspan="5" |biwood
| rowspan="3" |2L 4s
| rowspan="3" |[[2L 4s]]
| rowspan="3" |malic
| rowspan="3" |malic
| rowspan="2" |2L 6s
| rowspan="2" |[[2L 6s]]
| rowspan="2" |subaric
| rowspan="2" |subaric
|2L 8s
|[[2L 8s]]
|'''jaric'''
|'''jaric'''
| rowspan="5" |3L 3s
| rowspan="5" |triwood
| rowspan="3" |3L 6s
| rowspan="3" |'''tcherepnin'''
|-
|-
|8L 2s
|[[8L 2s]]
|'''taric'''
|'''taric'''
|-
|-
|6L 2s
|[[6L 2s]]
|'''ekic'''
|'''ekic'''
| colspan="2" rowspan="3" |
| colspan="2" rowspan="3" |
|-
|-
| rowspan="2" |4L 2s
| rowspan="2" |[[4L 2s]]
| rowspan="2" |citric
| rowspan="2" |citric
|6L 4s
|[[6L 4s]]
|'''lemon'''
|'''lemon'''
| rowspan="2" |6L 3s
| rowspan="2" |'''hyrulic'''
|-
|-
|4L 6s
|[[4L 6s]]
|'''lime'''
|'''lime'''
|}
|}
Starting at 4L 4s (tetrawood), there are no mosses whose child mosses have no more than 10 notes, as these mosses are already at or close to the 10-note limit, and successive generations will have ever-increasing note counts. Therefore, the immediate children of n-wood scales are given names, with any descendents after that being referred to as '''n-wood descendents'''. Unlike with single-period mosses, the name patterns are '''n-antrial''' (2nL ns) and '''n-trial''' (nL 2ns). Additionally, a numeric prefix may be used instead, such as hexawood for 6-wood and heptawood for 7-wood. The table below shows possible options for names.
{| class="wikitable"
{| class="wikitable"
|+Mosdescendent names for n-wood scales
|+Possible mosdescendant names for mosses with 3 periods or more
! colspan="4" |4-period mosses
! colspan="9" |3-period mosses
! rowspan="5" |
! colspan="4" |5-period mosses
! rowspan="4" |
! colspan="4" |n-period mosses
|-
|-
!Mos
!Mos
Line 977: Line 960:
!Mos
!Mos
!Name
!Name
!Mos
!Name
!Mos
!Name
!Other notes
|-
| rowspan="5" |[[3L 3s]]
| rowspan="5" |triwood
| rowspan="3" |[[3L 6s]]
| rowspan="3" |tcherepnin
| rowspan="2" |[[3L 9s]]
| rowspan="2" |triantetric
|[[3L 12s]]
|tripedal
| rowspan="5" |Tcherepnin and hyrulic are named under TAMNAMS and are used instead.
|-
|[[12L 3s]]
|trimanual
|-
|[[9L 3s]]
|tritetric
| colspan="2" rowspan="3" |
|-
| rowspan="2" |[[6L 3s]]
| rowspan="2" |hyrulic
|[[9L 6s]]
|triantipentic
|-
|[[6L 9s]]
|tripentic
|-
! colspan="9" |4-period mosses
|-
!Mos
!Mos
!Name
!Name
Line 985: Line 1,001:
!Mos
!Mos
!Name
!Name
!Other notes
|-
| rowspan="5" |[[4L 4s]]
| rowspan="5" |tetrawood
| rowspan="3" |[[4L 8s]]
| rowspan="3" |quinantrial
| rowspan="2" |[[4L 12s]]
| rowspan="2" |quinantetric
|[[4L 16s]]
|tetrapedal
| rowspan="5" |Some names have Latin prefixes for ease of spelling.
|-
|[[16L 4s]]
|tetramanual
|-
|[[12L 4s]]
|quintetric
| colspan="2" rowspan="3" |
|-
| rowspan="2" |[[8L 4s]]
| rowspan="2" |quintrial
|[[12L 8s]]
|tetrantipentic
|-
|-
| rowspan="3" |4L 4s
|[[8L 12s]]
| rowspan="3" |tetrawood
|tetrapentic
|4L 8s
|quadrantrial or 4-antrial (or bimalic)
| rowspan="3" |5L 5s
| rowspan="3" |pentawood
|5L 10s
|pentantrial or 5-antrial
| rowspan="2" |nL ns
| rowspan="2" |n-wood
|nL 2ns
|n-antrial
|-
|-
| rowspan="2" |8L 4s
! colspan="9" |5-period mosses
| rowspan="2" |quadtrial or 4-trial (or bicitric)
| rowspan="2" |10L 5s
| rowspan="2" |pentrial or 5-trial
|2nL ns
|n-trial
|-
|-
 
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Other notes
|-
| rowspan="5" |[[5L 5s]]
| rowspan="5" |pentawood
| rowspan="3" |[[5L 10s]]
| rowspan="3" |quinantrial
| rowspan="2" |[[5L 15s]]
| rowspan="2" |quinantetric
|[[5L 20s]]
|pentapedal
| rowspan="5" |Some names have Latin prefixes for ease of spelling.
|-
|[[20L 5s]]
|pentamanual
|-
|[[15L 5s]]
|quintetric
| colspan="2" rowspan="3" |
|-
| rowspan="2" |[[10L 5s]]
| rowspan="2" |quintrial
|[[15L 10s]]
|quinantipentic
|-
|[[10L 15s]]
|quinpentic
|-
! colspan="9" |n-period mosses
|-
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Mos
!Name
!Other notes
|-
| rowspan="5" |nL ns
| rowspan="5" |n-wood
| rowspan="3" |nL 2ns
| rowspan="3" |n-antrial
| rowspan="2" |nL 3ns
| rowspan="2" |n-antetric
|nL 4ns
|n-pedal
| rowspan="5" |A numeric prefix, such as hexawood instead of 6-wood, may be used instead.
|-
|4nL ns
|n-manual
|-
|3nL ns
|n-tetric
| colspan="2" rowspan="3" |
|-
| rowspan="2" |2nL ns
| rowspan="2" |n-trial
|3nL 2ns
|n-anpentic
|-
|2nL 3ns
|n-pentic
|}
|}
=== Reasoning for names (and example for 5L 2s) ===
=== Reasoning for names (and example for 5L 2s) ===
The names for moschromatic scales are based on former names for the child scales for diatonic (5L 2s): p-chromatic (5L 7s) and m-chromatic (7L 5s). This was generalized to "chromatic", with the prefixes p- and m- for specificity. The names for mosenharmonic scales are based on discussions with xen Discord members for systematically naming the daughter and granddaughter scales of a mos, producing "enharmonic" with the prefixes s-, p-, f-, and m- for specificity.
The names for moschromatic scales are based on former names for the child scales for diatonic (5L 2s): p-chromatic (5L 7s) and m-chromatic (7L 5s). This was generalized to "chromatic", with the prefixes p- and m- for specificity. The names for mosenharmonic scales are based on discussions with xen Discord members for systematically naming the daughter and granddaughter scales of a mos, producing "enharmonic" with the prefixes s-, p-, f-, and m- for specificity.
Retrieved from "https://en.xen.wiki/w/User:Ganaram_inukshuk/Notes/TAMNAMS"