Xenharmonic Wiki

User:Ganaram inukshuk/TAMNAMS Extension: Difference between revisions

← Older edit
VisualWikitext
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
mNo edit summary
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
 
(25 intermediate revisions by 2 users not shown)
Line 1: Line 1:
This is a system for describing and naming mos scales beyond the set of named TAMNAMS mosses. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems for how to name mos descendants. However, this page describes several more systems that apply to non-octave mosses.
Main article: TAMNAMS


The schemes proposed here are '''not meant to be a definitive naming scheme'''. Rather, it's meant to be a starting point for a naming scheme discussion. Some parts of this page also serves as a sandbox.
This page describes TAMNAMS-like names applied to octave-equivalent mosses with more than 10 notes, as well as non-octave mosses (fifth and tritave equivalent).


The scope of this TAMNAMS extension is as follows:
== Disclaimer ==
The names described in this section may may have limited use. Some of these names may only find usage by a single person or a small group and thus have limited acceptance by the broader xen community. These names may also be subject to change as these names or the scales they refer to gain greater usage by the community, and it may be possible for the same scale to have more than one name.


# Systematically name mosses beyond the named range by how they're related to TAMNAMS-named mosses. The most common way of doing this is by considering what mosses descend from a TAMNAMS-named mos.
== Relating a mos and its descendants ==
## Secondarily, propose unique names, or provide suggestions for possible names, for certain mosses in case they're worth having distinct names. Some of these names are old names that have been around long enough to be memorable.
Larger mosses can be described by how they related back to a more familiar mos and vice-versa. In general, all mosses with ''n'' periods relate back to a root mos of ''n''L ''n''s. For TAMNAMS-named mosses, any octave-equivalent mos with more than 10 steps and no more than 5 periods is related to some TAMNAMS-named mos.
### Catalog any names that had already existed or have been proposed elsewhere on the wiki.
# Systematically name mosses regardless of the equave. Such names should be as general as possible. Names for mosses with no more than 10 notes are prioritized.
# Propose names for 3/2 (fifth) and 3/1 (tritave) equivalent mosses, or provide suggestions for possible name ideas. Names for mosses with no more than 10 notes are prioritized.
There are two types of names described in this section:


* Systematic names, which use an exiting TAMNAMS name and a step ratio range as a base. This has two subtypes:
In either case, any mos can be related to its descendants by treating it as the root of its own scale tree. Particularly in the absence of any names, mosses can be ''described'' as being some descendant of a related ancestor mos ''x''L ''y''s. Such mosses, called ''mos descendants'' – or ''children'', ''grandchildren'', and ''great-grandchildren'', for the first three generations of descendants – contain the following pattern of step counts.
** Descriptive names, a multi-word name that describes the mos itself.
{| class="wikitable"
** Shortened names, a shortened form of a descriptive name.
! colspan="2" |Parent
* Specific names, unique names to be used to make a mos distinct from its parent or ancestor mos.
! colspan="2" |Child
 
! colspan="2" |Grandchild
== Mosses for which extension names apply ==
! colspan="2" |Great-grandchild
These names are recommended for mosses whose child mosses exceed 10 notes.
{| class="wikitable center-all"
|-
! rowspan="2" |
! colspan="2" |Eligible parent mosses
! colspan="2" |Child mosses
|-
!Pattern
!Name
!Patterns
!Note counts
|-
!6-note mosses
|[[5L 1s]]||machinoid
|5L 6s, 6L 5s
|11
|-
! rowspan="3" |7-note mosses
|[[4L 3s]]||smitonic
|4L 7s, 7L 4s
|11
|-
|[[5L 2s]]||diatonic
|5L 7s, 7L 5s
|12
|-
|[[6L 1s]]||arch(a)eotonic
|6L 7s, 7L 6s
|13
|-
! rowspan="5" |8-note mosses
|[[3L 5s]]||checkertonic
|3L 8s, 8L 3s
|11
|-
|[[4L 4s]]||tetrawood; diminished
|4L 8s, 8L 4s
|12
|-
|[[5L 3s]]||oneirotonic
|5L 8s, 8L 5s
|13
|-
|[[6L 2s]]||ekic
|6L 8s, 8L 6s
|14
|-
|[[7L 1s]]||pine
|7L 8s, 8L 7s
|15
|-
! rowspan="7" |9-note mosses
|[[2L 7s]]
|balzano
|2L 9s, 9L 2s
|11
|-
|-
|[[3L 6s]]||tcherepnin
!Large steps
|3L 9s, 9L 3s
!Small steps
|12
!Large steps
!Small steps
!Large steps
!Small steps
!Large steps
!Small steps
|-
|-
|[[4L 5s]]||gramitonic
| rowspan="8" |''x''
|4L 9s, 9L 4s
| rowspan="8" |''y''
|13
| rowspan="4" |''x''+''y''
| rowspan="4" |''x''
| rowspan="2" |''x''+''y''
| rowspan="2" |2''x''+''y''
|''x''+''y''
|3''x''+2''y''
|-
|-
|[[5L 4s]]||semiquartal
|3''x''+2''y''
|5L 9s, 9L 5s
|''x''+''y''
|14
|-
|-
|[[6L 3s]]||hyrulic
| rowspan="2" |2''x''+''y''
|6L 9s, 9L 6s
| rowspan="2" |''x''+''y''
|15
|3''x''+2''y''
|2''x''+''y''
|-
|-
|[[7L 2s]]||superdiatonic
|2''x''+''y''
|7L 9s, 9L 7s
|3''x''+2''y''
|16
|-
|-
|[[8L 1s]]||subneutralic
| rowspan="4" |''x''
|8L 9s, 9L 8s
| rowspan="4" |''x''+''y''
|17
| rowspan="2" |2''x''+''y''
| rowspan="2" |''x''
|2''x''+''y''
|3''x''+''y''
|-
|-
! rowspan="9" |10-note mosses
|3''x''+''y''
|[[1L 9s]]||antisinatonic
|2''x''+''y''
|1L 10s, 10L 1s
|11
|-
|-
|[[2L 8s]]||jaric
| rowspan="2" |''x''
|2L 10s, 10L 2s
| rowspan="2" |2''x''+''y''
|12
|3''x''+''y''
|''x''
|-
|-
|[[3L 7s]]||sephiroid
|''x''
|3L 10s, 10L 3s
|3''x''+''y''
|13
|-
|[[4L 6s]]||lime
|4L 10s, 10L 4s
|14
|-
|[[5L 5s]]||pentawood
|5L 10s, 10L 5s
|15
|-
|[[6L 4s]]||lemon
|6L 10s, 10L 6s
|16
|-
|[[7L 3s]]||dicoid
|7L 10s, 10L 7s
|17
|-
|[[8L 2s]]||taric
|8L 10s, 10L 8s
|18
|-
|[[9L 1s]]||sinatonic
|9L 10s, 10L 9s
|19
|}
|}
For example, the first three generations of ''diatonic descendants'' can be described as:


== Systematic names for mos descendants ==
* ''Children of 5L 2s'': 7L 5s and 5L 7s
* ''Grandchildren of 5L 2s'': 5L 12s, 12L 5s, 12L 7s, and 7L 12s
* ''Great-grandchildren of 5L 2s'': 5L 17s, 17L 5s, 17L 12s, 12L 17s, 12L 19s, 19L 12s, 12L 7s, and 7L 19s


=== Base names ===
=== Finding the ancestor of a descendant mos ''x''L ''y''s ===
To name mosses that have more than 10 notes, names are based on how they're related to another, named mos, based on how many generations apart the two are:
For a mos ''x''L ''y''s, perform the following algorithm to find a familiar ancestor with target note count ''n'' or less:


* The immediate child of a mos is a chromatic mos.
#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.
* The grandchild scale of a mos is an enharmonic mos.
#Let ''m<sub>1</sub>'' be assigned the value of max(''z'', ''w'') and ''m<sub>2</sub>'' the value of min(''z'', ''w'').
* The great-grandchild scale of a subchromatic mos.
#Assign to ''z'' the value ''m<sub>2</sub>'' and ''w'' the value ''m<sub>1</sub>''-''m<sub>2</sub>''.
#If ''z''+''w'' is less than or equal to ''n'', then the ancestor mos is ''z''L ''w''s. If not, repeat the process starting at step 2.


{| class="wikitable"
=== Finding an ancestor's step ratio that produces a descandant mos ''x''L ''y''s ===
|+Base systematic names
For a mos xL ys, perform the following algorithm to find the step ratio for a descendant mos zL ws with target note count n or less:
|-
!Name type
!Parent mos
!Child (1st descendant)
!Grandchild (2nd descendant)
!Great-grandchild (3rd descendant)
!''k''th descendant
|-
|Descriptive name
|''(mos-name)''
|chromatic ''(mos-name)''
|enharmonic ''(mos-name)''
|subchromatic ''(mos-name)''
|''(k''th'') (mos-name)'' descendant
|-
|Shortened name
|''(mos-name)''
|''(mos-prefix)''enharmonic
|''(mos-prefix)''enharmonic
|''(mos-prefix)''subchromatic
|''(mos-prefix)''descendant
|}
The term '''''k''th descendant''' or '''''(mos-prefix)descendant''''' is used to refer to descendants more than 3 generations away, but can be used generally for any number of generations. To find the number of generations k 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 m1 be equal to max(z, w) and m2 be equal to min(z, w).
#Assign to z the value m2 and w the value m1-m2. Increment n by 1.
#If the sum of z and w is no more than 10, then the parent mos is zL ws and is n generations from the mos descendant xL ys. If not, repeat the process starting at step 2.
=== Hardness modifiers ===
Optionally, a hardness modifier, which describes a parent mos's step ratio range, can be added before a systematic name to make mosses of the same generation more distinct from one another. Hardness modifiers can be added as a range name or a prefix to either the descriptive name or shortened name; however, to make a descriptive name more clear, it's recommended to use a range name rather than a prefix. Mos descendants farther than 3 generations away from a parent mos do not have hardness modifiers.
{| class="wikitable"
|+Hardness modifiers
|-
! colspan="2" |Parent mos
! colspan="4" |Child (1st descendant)
! colspan="4" |Grandchild (2nd descendant)
! colspan="4" |Great-grandchild (3rd descendant)
|-
!Mos
!L:s range
!Mos
!L:s range
!Range name
!Prefix
!Mos
!L:s range
!Range name
!Prefix
!Mos
!L:s range
!Range name
!Prefix
|-
| rowspan="8" |xL ys
| rowspan="8" |1:1 to 1:0
| rowspan="4" |(x+y)L xs
| rowspan="4" |1:1 to 2:1
| rowspan="4" |soft-of-basic
| rowspan="4" |s-
| rowspan="2" |(x+y)L (2x+y)s
| rowspan="2" |1:1 to 3:2
| rowspan="2" |soft
| rowspan="2" |s-
|(x+y)L (3x+2y)s
|1:1 to 4:3
|ultrasoft
|us-
|-
|(3x+2y)L (x+y)s
|4:3 to 3:2
|parasoft
|ps-
|-
| rowspan="2" |(2x+y)L (x+y)s
| rowspan="2" |3:2 to 2:1
| rowspan="2" |hyposoft
| rowspan="2" |os-
|(3x+2y)L (2x+y)s
|3:2 to 5:3
|quasisoft
|qs-
|-
|(2x+y)L (3x+2y)s
|5:3 to 2:1
|minisoft
|ms-
|-
| rowspan="4" |xL (x+y)s
| rowspan="4" |2:1 to 1:0
| rowspan="4" |hard-of-basic
| rowspan="4" |h-
| rowspan="2" |(2x+y)L xs
| rowspan="2" |2:1 to 3:1
| rowspan="2" |hypoard
| rowspan="2" |oh-
|(2x+y)L (3x+y)s
|2:1 to 5:2
|minihard
|mh-
|-
|(3x+y)L (2x+y)s
|5:2 to 3:1
|quasihard
|qh-
|-
| rowspan="2" |xL (2x+y)s
| rowspan="2" |3:1 to 1:0
| rowspan="2" |hard
| rowspan="2" |h-
|(3x+y)L xs
|3:1 to 4:1
|parahard
|ph-
|-
|xL (3x+y)s
|4:1 to 1:0
|ultrahard
|uh-
|}


=== Example usage (using smitonic) ===
#Let ''z'' and ''w'' be the number of large and small steps of the parent mos to be found. Let ''U'' and ''V'' be two chunks, vectors containing the amounts of L's and s's from xL ys that make up the ancestor mos's large and small steps.
##Assign to ''z'' and ''w'' the values ''x'' and ''y'' respectively.
##Assign to ''U'' the vector { ''u<sub>L</sub>'', ''u<sub>s</sub>'' } = { 1, 0 } and V to the vector { ''v<sub>L</sub>'', ''v<sub>s</sub>'' } = { 0, 1 }.
#Let ''m<sub>1</sub>'' be assigned the value of max(''z'', ''w'') and ''m<sub>2</sub>'' the value of min(''z'', ''w'').
##If w > z, then add ''V'' to ''U''. Otherwise, assign to a temporary vector ''U<sub>temp</sub>'' the value of ''U'', add ''V'' to ''U'', and assign to ''V'' the value of ''U<sub>temp</sub>''.
#Assign to ''z'' the value ''m<sub>2</sub>'' and ''w'' the value ''m<sub>1</sub>''-''m<sub>2</sub>''.
#If ''z''+''w'' is less than or equal to ''n'', then the ancestor mos is ''z''L ''w''s. The step ratio range for the ''z''L ''w''s is (''u<sub>L</sub>''+ ''u<sub>s</sub>''):(''v<sub>L</sub>''+ ''v<sub>Ls</sub>'') to ''u<sub>L</sub>'':''v<sub>s</sub>''. If ''z''+''w'' is not less than or equal to ''n'', repeat the process starting at step 2.


* Describing the child mosses of smitonic generally: '''chromatic smitonic'''
== Names for mosses with more than 10 notes ==
* Describing the child mosses of smitonic based on the parent's step ratio: '''hard-of-basic chromatic smitonic''' and '''soft-of-basic chromatic smitonic'''
* When context is established that hardness prefixes can be used: '''h-chromatic smitonic''' and '''s-chromatic smitonic'''


== Specific names for mosses beyond 10 notes ==
=== Names for ''n''L ''n''s mosses with more than 5 periods ===
This section outlines proposed names and naming suggestions for mosses beyond 10 notes.
The following names are based on the -wood names, with appropriate Greek numeral prefixes applied.
 
{| class="wikitable center-all"
=== Extended ''k''-wood names ===
!Pattern
To name mos descendants with more than 5 periods, the names for wood mosses are extended to hexawood, heptawood, octawood, enneawood, and decawood. (This is not too different from Frostburn's proposal.) Names for descendants for these scales follow the same scheme as with other TAMNAMS-named mosses.
!Suggested name
{| class="wikitable"
|+Names for wood scales up to 10 periods
!Mos
!Name
!Prefix
!Prefix
!Abbrev.
!Abbrev.
!Reasoning
|-
|-
|6L 6s
|6L 6s
Line 289: Line 103:
|hexwd-
|hexwd-
|hxw
|hxw
|Greek numeral prefix (hexa-) for six, plus "wood"
|-
|-
|7L 7s
|7L 7s
Line 294: Line 109:
|hepwd-
|hepwd-
|hpw
|hpw
|Greek numeral prefix (hepta-) for seven, plus "wood"
|-
|-
|8L 8s
|8L 8s
Line 299: Line 115:
|octwd-
|octwd-
|ocw
|ocw
|Greek numeral prefix (octo-) for eight, plus "wood"
|-
|-
|9L 9s
|9L 9s
Line 304: Line 121:
|ennwd-
|ennwd-
|enw
|enw
|Greek numeral prefix (ennea-) for nine, plus "wood"
|-
|-
|10L 10s
|10L 10s
|decawood
|decawood
|dekwd-
|decwd-
|dkw
|dkw
|Greek numeral prefix (deca-) for ten, plus "wood"
|-
|-
|11L 11s
|11L 11s
|11-wood
|hendecawood
|11-wud-
|hedwd-
|11wd
|hdw
|Greek numeral prefix (hendeca-) for 11, plus "wood"
|-
|-
|12L 12s
|12L 12s
|12-wood
|dodecawood
|12-wud
|dodwd-
|12wd
|ddw
|Greek numeral prefix (dodeca-) for 12, plus "wood"
|-
|-
|etc...
|13L 13s
|
|13-wood
|
|13wd-
|
|13w
|Number 13 prepended to "wood"
|-
|14L 14s
|14-wood
|14wd-
|14w
|Number 14 prepended to "wood"
|-
|''k''L ''k''s
|''k''-wood
|''k''wd
|''k''w
|General number ''k'' prepended to "wood"
|}
|}
=== Specific names for mosses beyond 10 notes (proposed) ===
=== Names for mosses with 11 or more notes (excluding ''n''L ''n''s mosses) ===
Specific names are intended for notable mosses outside the named range for which its mos descendant name would be insufficient. Names suggested by other users are included here for comparison.
{| class="wikitable center-all"
{| class="wikitable"
|+Specific names for mosses with 11 to 13 notes
! colspan="4" |11-note mosses
! colspan="4" |11-note mosses
|-
|-
!Mos
!Pattern
!Suggested name(s)
!Suggested name(s)
!Proposed by
!Proposed by
Line 337: Line 169:
|-
|-
|1L 10s
|1L 10s
|tanzanite or tenorite
|tanzanite, tenorite
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|More naming puns ('''ten'''zanite or '''ten'''orite)
|More naming puns ('''ten'''zanite or '''ten'''orite).
|-
|2L 9s
|
|
|
|-
|3L 8s
|
|
|
|-
|-
|4L 7s
|4L 7s
|kleistonic
|kleistonic
|
|
|Former TAMNAMS name
|Former TAMNAMS name.
|-
|5L 6s
|
|
|
|-
|6L 5s
|
|
|
|-
|-
| rowspan="2" |7L 4s
| rowspan="2" |7L 4s
|suprasmitonic
|suprasmitonic
|
|
|Former TAMNAMS name
|Former TAMNAMS name.
|-
|-
|daemotonic
|daemotonic
|Ganaram inukshuk, [[User:Eliora|Eliora]]
|[[User:Eliora|Eliora]]
|Described as being "furthest removed from typical xen approaches of RTT or JI."
|Various reasons; see [[7L 4s]].
|-
|-
| rowspan="2" |9L 2s
| rowspan="2" |9L 2s
|villatonic
|villatonic
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|Indirectly references a'''vila''' and '''casa'''blanca (houses) temperaments
|Indirectly references avila and casablanca temperaments.
|-
|-
|ultradiatonic, superarmotonic
|ultradiatonic, superarmotonic
|[[User:CompactStar|CompactStar]]
|[[User:CompactStar|CompactStar]]
|In reference to diatonic and armotonic
|In reference to diatonic and armotonic.
|-
|10L 1s
|miratonic or miraculoid
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|Modification or restoration of an old name (miraculoid); reference miracle temperament
|-
|-
! colspan="4" |12-note mosses
! colspan="4" |12-note mosses
|-
|-
!Mos
!Pattern
!Suggested name(s)
!Suggested name(s)
!Proposed by
!Proposed by
Line 399: Line 206:
|helenite
|helenite
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|In reference to the "ele" substring found in the word "eleven"
|In reference to the "ele" substring found in the word "eleven".
|-
|2L 10s
|
|
|
|-
|3L 9s
|
|
|
|-
|4L 8s
|
|
|
|-
|-
|5L 7s
|5L 7s
|p-chromatic
|p-chromatic
|
|
|Former TAMNAMS name
|Former TAMNAMS name.
|-
|6L 6s
|hexawood
|
|Extension of -wood scales; coincidentally references hexe temperament
|-
|-
|7L 5s
|7L 5s
|m-chromatic
|m-chromatic
|
|
|Former TAMNAMS name
|Former TAMNAMS name.
|-
|8L 4s
|
|
|
|-
|9L 3s
|
|
|
|-
|10L 2s
|
|
|
|-
|11L 1s
|
|
|
|-
|-
! colspan="4" |13-note mosses
! colspan="4" |13-note mosses
|-
|-
!Mos
!Pattern
!Suggested name(s)
!Suggested name(s)
!Proposed by
!Proposed by
Line 461: Line 228:
|zircon
|zircon
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|Zircon is used as a birthstone for December
|Zircon is used as a birthstone for December.
|-
|2L 11s
|
|
|
|-
|3L 10s
|
|
|
|-
|4L 9s
|
|
|
|-
|5L 8s
|
|
|
|-
|6L 7s
|
|
|
|-
|7L 6s
|tetarquintal
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|Indirect reference to tetracot temperament, which divides the perfect 5th (3/2) into four
|-
|8L 5s
|
|
|
|-
|9L 4s
|
|
|
|-
|10L 3s
|luachoid
|
|Already proposed name
|-
| rowspan="2" |11L 2s
|maioquartal
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|In reference to the "major fourths" scale used by Tcherepnin
|-
|-
|11L 2s
|hendecoid
|hendecoid
|[[User:Eliora|Eliora]]
|[[User:Eliora|Eliora]]
|From Greek "eleven", references how "its generator is so close to 11/8 as to be called nothing but that".
|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.
|-
|12L 1s
|quasidozenal
|[[User:Ganaram inukshuk|Ganaram inukshuk]]
|Meant to invoke the phrase "almost twelve"
|-
|-
! colspan="4" |14-note mosses
! colspan="4" |14-note mosses
|-
|-
!Mos
!Pattern
!Suggested name(s)
!Suggested name(s)
!Proposed by
!Proposed by
!Reasoning
!Reasoning
|-
|11L 3s
|ketradektriatoh
|[[User:Osmiorisbendi‎|Osmiorisbendi‎]]
|Already established name
|-
|-
|13L 1s
|13L 1s
|trollic
|trollic
|[[User:Godtone|Godtone]]
|[[User:Godtone|Godtone]]
|Refers to 12L 1s, but refers to 13L 1s as a troll move
|The name proposed by Godtone refers to 12L 1s, but it refers to 13L 1s as a troll move.
|-
! colspan="4" |15-note mosses
|-
!Mos
!Suggested name(s)
!Proposed by
!Reasoning
|-
|14L 1s
|sextiliquartal
|[[User:Eliora|Eliora]]
|Already proposed name, references temperaments that divide 4/3 into 6 pieces
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+
Other higher note count mosses
|-
|-
!Note count
!Note count
!Mos
!Pattern
!Suggested name(s)
!Suggested name(s)
!Proposed by
!Proposed by
Line 565: Line 259:
|liesic
|liesic
|[[User:Frostburn|Frostburn]]
|[[User:Frostburn|Frostburn]]
|Frostburn's extension scheme stops here, so this name is suggested
|Frostburn's naming scheme only goes up to 3 generations, so this name is suggested.
|-
| rowspan="2" |19
|3L 16s
|magicaltonic
|[[User:Xenllium|Xenllium]]
|In reference to magic temperament.
|-
|16L 3s
|muggletonic
|[[User:Xenllium|Xenllium]]
|In reference to muggle temperament.
|-
|-
|21
|21
Line 571: Line 276:
|miracloid
|miracloid
|[[User:Eliora|Eliora]]
|[[User:Eliora|Eliora]]
|In reference to miracle temperament
|In reference to miracle temperament.
|-
|-
| rowspan="3" |22
| rowspan="3" |22
Line 582: Line 287:
|giedraitic
|giedraitic
|[[User:Frostburn|Frostburn]]
|[[User:Frostburn|Frostburn]]
|Named after the basic magic layout of [[Kite Giedraitis]]' [[Kite guitar|guitar]].
|Named after the basic magic layout of [[Kite Giedraitis]]' [[Kite guitar|guitar]]. Proposed prefix is "kai-".
|-
|-
|21L 1s
|21L 1s
Line 594: Line 299:
|[[User:Eliora|Eliora]]
|[[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.
|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.
|}
== Names for non-octave mosses ==
=== 3/1-equivalent mosses ===
{| class="wikitable center-all"
! colspan="4" |7-note mosses <3/1>
|-
!Pattern
!Suggested name(s)
!Proposed by
!Reasoning
|-
|4L 3s
|electric
|[[User:CompactStar|CompactStar]]
|In reference to electra temperament
|-
|-
|25
! colspan="4" |9-note mosses <3/1>
|4L 21s
|-
|moulinoid
!Pattern
|[[User:Eliora|Eliora]]
!Suggested name(s)
|In reference to moulin temperament
!Proposed by
!Reasoning
|-
|4L 5s
|lambdatonic
|n/a
|"Lambda" already refers to 4L 5s
|-
! colspan="4" |11-note mosses <3/1>
|-
!Pattern
!Suggested name(s)
!Proposed by
!Reasoning
|-
|7L 4s
|superelectric
|[[User:CompactStar|CompactStar]]?
|Expansion of 4L 3s
|-
|9L 2s
|subarcturus
|?
|?
|}
|}
 
=== 3/2-equivalent mosses ===
== Non-octave extensions (proposed) ==
{| class="wikitable center-all"
Since the perfect 5th and tritave (or perfect 12th) are the two most common non-octave equivalence intervals for which there are scales described, mosses for these two intervals should be the most likely to receive TAMNAMS-like names. For mosses with any other equivalence interval, describing nested mos structures, or in situations where the notion of an equivalence interval is unimportant, equave-agnostic names are proposed.
! colspan="4" |4-note mosses <3/2>
 
|-
=== Equave-agnostic names (proposed) ===
!Pattern
This is a proposed scheme to name mosses regardless of the equivalence interval, These names are meant for nonoctave mosses and nested mos patterns such as with a mos cradle. These names are not final and are open to better suggestions.
!Suggested name(s)
{| class="wikitable"
!Proposed by
! colspan="5" |4-note mosses (new names only)
!Reasoning
|-
|1L 3s
|neptunian
|[[User:CompactStar|CompactStar]]
|In reference to "uranian" for 3L 2s<3/2>
|-
! colspan="4" |5-note mosses <3/2>
|-
!Pattern
!Suggested name(s)
!Proposed by
!Reasoning
|-
|-
!Mos
|2L 3s
!Name
|saturnian
!Multi-period?
|[[User:CompactStar|CompactStar]]
!Prefix
|In reference to "uranian" for 3L 2s<3/2>
!Abbrev.
|-
|-
|2L 2s
|3L 2s
|double trivial
|uranian
|Yes (2)
|?
|2triv-
|?
|2trv
|}
== Names for equave-agnostic mosses ==
Equave-agnostic names (proposed by Ganaram) are an extension to the equave-agnostic names provide by TAMNAMS. They are based on Greek, Latin, and Sanskrit numeral prefixes. Names for multi-period equave-agnostic mosses are not provided, as they would be repetitions of a smaller step pattern.
{| class="wikitable center-all"
|-
|-
! colspan="5" |6-note mosses
! colspan="5" |6-note mosses
|-
|-
!Mos
!Pattern
!Name
!Suggested name
!Multi-period?
!Prefix
!Prefix
!Abbrev.
!Abbrev.
!Reasoning
|-
|-
|1L 5s
|1L 5s
|anhexic
|anhexic
|No
|ahex-
|ahex-
|ahx
|ahx
|-
|Greek numeral prefix (hex-) for six, plus "an-"
|2L 4s
|double antrial
|Yes (2)
|2atri-
|2tri
|-
|3L 3s
|triple trivial
|Yes (3)
|3triv-
|3trv
|-
|4L 2s
|double trial
|Yes (2)
|2tri-
|2tri
|-
|-
|5L 1s
|5L 1s
|hexic
|hexic
|No
|hex-
|hex-
|hx
|hx
|Greek numeral prefix "(hex-) for six
|-
|-
! colspan="5" |7-note mosses
! colspan="5" |7-note mosses
|-
|-
!Mos
!Pattern
!Name
!Suggested name
!Multi-period?
!Prefix
!Prefix
!Abbrev.
!Abbrev.
!Reasoning
|-
|-
|1L 6s
|1L 6s
|ansaptic
|ansaptic
|No
|ansap-
|ansap-
|asp
|asp
|Sanskrit numeral prefix (sapta-) for seven, plus "an-"
|-
|-
|2L 5s
|2L 5s
|anheptic
|anheptic
|No
|anhep-
|anhep-
|ahp
|ahp
|Greek numeral prefix (hepta-) for seven, plus "an-"
|-
|-
|3L 4s
|3L 4s
|anseptenic
|anseptenic
|No
|ansep-
|ansep-
|asep
|asep
|Latin numeral prefix (septen-) for seven, plus "an-"
|-
|-
|4L 3s
|4L 3s
|septenic
|septenic
|No
|sep-
|sep-
|sep
|sep
|Latin numeral prefix (septen-) for seven
|-
|-
|5L 2s
|5L 2s
|heptic
|heptic
|No
|hep-
|hep-
|hp
|hp
|Greek numeral prefix (hepta-) for seven
|-
|-
|6L 1s
|6L 1s
|saptic
|saptic
|No
|sap-
|sap-
|sp
|sp
|Sanskrit numeral prefix (sapta-) for seven
|-
|-
! colspan="5" |8-note mosses
! colspan="5" |8-note mosses
|-
|-
!Mos
!Pattern
!Name
!Suggested name
!Multi-period?
!Prefix
!Prefix
!Abbrev.
!Abbrev.
!Reasoning
|-
|-
|1L 7s
|1L 7s
|anastaic
|anastaic
|No
|anast-
|anast-
|aast
|aast
|-
|Sanskrit numeral prefix (aṣṭa-) for eight, plus "an-"
|2L 6s
|double antetric
|Yes (2)
|2atetra-
|2att
|-
|-
|3L 5s
|3L 5s
|anoctic
|anoctic
|No
|anoct-
|anoct-
|aoct
|aoct
|-
|Greek/Latin numeral prefix (octo-) for eight, plus "an-"
|4L 4s
|quadruple trivial
|Yes (4)
|4triv-
|4trv
|-
|-
|5L 3s
|5L 3s
|octic
|octic
|No
|oct-
|oct-
|oct
|oct
|-
|Greek/Latin numeral prefix (octo-) for eight
|6L 2s
|double tetric
|Yes (2)
|2tetra-
|2tt
|-
|-
|7L 1s
|7L 1s
|astaic
|astaic
|No
|ast-
|ast-
|ast
|ast
|Sanskrit numeral prefix (aṣṭa-) for eight
|-
|-
! colspan="5" |9-note mosses
! colspan="5" |9-note mosses
|-
|-
!Mos
!Pattern
!Name
!Suggested name
!Multi-period?
!Prefix
!Prefix
!Abbrev.
!Abbrev.
!Reasoning
|-
|-
|1L 8s
|1L 8s
|annavic
|annavic
|No
|annav-
|annav-
|anv
|anv
|Sanskrit numeral prefix (nava-) for nine, plus "an-"
|-
|-
|2L 7s
|2L 7s
|anennaic
|anennaic
|No
|anenn-
|anenn-
|aenn
|aenn
|-
|Greek numeral prefix (ennea-) for nine, plus "an-"
|3L 6s
|triple antrial
|Yes (3)
|3atri-
|3atri
|-
|-
|4L 5s
|4L 5s
|annovemic
|annovemic
|No
|annov-
|annov-
|anv
|anv
|Latin numeral prefix (novem-) for nine, plus "an-"
|-
|-
|5L 4s
|5L 4s
|novemic
|novemic
|No
|nov-
|nov-
|nv
|nv
|-
|Latin numeral prefix (novem-) for nine
|6L 3s
|triple trial
|Yes (3)
|3tri-
|3tri
|-
|-
|7L 2s
|7L 2s
|ennaic
|ennaic
|No
|enn-
|enn-
|enn
|enn
|Greek numeral prefix (ennea-) for nine
|-
|-
|8L 1s
|8L 1s
|navic
|navic
|No
|nav-
|nav-
|nv
|nv
|Sanskrit numeral prefix (nava-) for nine
|-
|-
! colspan="5" |10-note mosses
! colspan="5" |10-note mosses
|-
|-
!Mos
!Pattern
!Name
!Suggested name
!Multi-period?
!Prefix
!Prefix
!Abbrev.
!Abbrev.
!Reasoning
|-
|-
|1L 9s
|1L 9s
|andashic
|andashic
|No
|andash-
|andash-
|adsh
|adsh
|-
|Sanskrit numeral prefix (dasha-) for ten, plus "an-"
|2L 8s
|double pedal
|Yes (2)
|2ped-
|2ped
|-
|-
|3L 7s
|3L 7s
|andeckic
|andeckic
|No
|andeck-
|andeck-
|adek
|adek
|-
|Greek/Latin numeral prefix (decem-/deca-) for ten, plus "an-"
|4L 6s
|double pentic
|Yes (2)
|2pent-
|2pt
|-
|5L 5s
|quintuple trivial
|Yes (5)
|5triv-
|5trv
|-
|6L 4s
|double anpentic
|Yes (2)
|2apent-
|2apt
|-
|-
|7L 3s
|7L 3s
|deckic
|deckic
|No
|deck-
|deck-
|dek
|dek
|-
|Greek/Latin numeral prefix (decem-/deca-) for ten
|8L 2s
|double manual
|Yes (2)
|2manu-
|2manu
|-
|-
|9L 1s
|9L 1s
|dashic
|dashic
|No
|dash-
|dash-
|dsh
|dsh
|Sanskrit numeral prefix (dasha-) for ten
|}
|}
Names for these mosses are meant to be as general as possible, starting with established names that are already equave-agnostic: trivial, (an)trial, (an)tetric, (an)pentic, and pedal/manual. Mosses are named in pairs of xL ys and yL xs, where the mos with more small steps than large steps is given the an- prefix, short for anti-; this rule doesn't apply to pentic (2L 3s) and anpentic (3L 2s), where the former is the familiar pentatonic scale.
As there is only one pair of 6-note single-period mosses, 5L 1s and 1L 5s, the pair is named '''hexic'''.
With 7-note mosses, there are three pairs of mosses, whose names are based on three languages: Greek, Latin, and Sanskrit. The pair 5L 2s and 2L 5s are given the Greek-based name of '''heptic''', as 5L 2s is the familiar diatonic scale. The next pair, 3L 4s and 4L 3s, are given the Latin-based name of '''septenic'''. The last pair, 1L 6s and 6L 1s, are given the Sanskrit-based name of '''saptic''.'''''


This pattern is continued for all successive sequences of mosses for each successive note count: 1L ns and nL 1s are given a Sanskrit-based name, the next single-period pair after that are given a Greek-based name, and the next single-period pair after that are given a Latin-based name. The two 8-note pairs are named '''astaic''' (7L 1s and 1L 7s) and '''octic''' (5L 3s and 3L 5s) respectively. The three 9-note pairs are named '''navic''' (8L 1s and 1L 8s), '''ennaic''' (7L 2s and 2L 7s), and '''novemic''' (4L 5s and 5L 4s). Finally the two 10-note pairs are named '''dashic''' (9L 1s and 1L 9s) and '''dekic''' (7L 3s and 3L 7s).
== Appendix ==
The motivation behind these names is from a desire to expand TAMNAMS-like names past the current note limit of 10 steps and, to a lesser extent, preserve former TAMNAMS names given to such mosses.


11-note mosses require naming five pairs, so this naming scheme stops at 10-note mosses.
The names for mos descendants are given the general terms of ''child'', ''grandchild'', ''great-grandchild'', and so on. Formerly, names based on the terms ''chromatic'' and ''enharmonic'' were prescribed, much in the spirit of ''m-chromatic'' and ''p-chromatic''. These terms, accompanied by single-letter prefixes, such as ''m-'' and ''p-'', and others, were used as bases for the descendants of any mos. However, these names were abandoned since the concept of ''chromatic'' did not generalize well outside the context of chromatic pairs, and the single-letter prefixes were considered temperament-suggestive.


Since the equivalence interval can be anything, names for multi-period mosses are named as a smaller mos repeated (double, triple, quadruple, etc) some number of times. The prefix and abbreviation of the base mos is preceded by the number of duplications. For example, 2L 2s is double trivial, its prefix is 2triv-, and its abbreviation is 2trv.
More unique names have been prescribed by others, but have limited use or acceptance by the xen community as a whole.


=== Names for 3/2-equivalent mosses ===
The names ''m-chromatic'' and ''p-chromatic'', as they apply to 7L 5s and 5L 7s, are left unchanged, but can alternatively be described generally as ''child scales of diatonic'', or specifically, the ''child scale of soft diatonic'' and ''child scale of hard diatonic'' respectively.
Names are based on information that is available on their respective pages. Otherwise, possible ideas are given. Only mosses with 10 or fewer notes are prioritized for names.
{| class="wikitable"
! colspan="5" |4-note mosses <3/2>
|-
!Mos
!Name (if given)
!Prefix
!Abbrev.
!Reasoning or ideas
|-
|1L 3s
|neptunian
|nept-
|nep
|Name proposed by CompactStar, analogous to uranian
|-
! colspan="5" |5-note mosses <3/2>
|-
!Mos
!Name (if given)
!Prefix
!Abbrev.
!Reasoning or ideas
|-
|3L 2s
|uranian
|ura-
|ura
|Already-existing name
|}
 
=== Names for 3/1-equivalent mosses ===
Names are based on information that is is available on their respective pages. Otherwise, possible ideas are given. Only mosses with 10 or fewer notes are prioritized for names.
{| class="wikitable"
! colspan="5" |7-note mosses <3/1>
|-
!Mos
!Name (if given)
!Prefix
!Abbrev.
!Reasoning or ideas
|-
|3L 4s
|
|
|
|In reference to electromagnetism, 3L 4s <3/1> could be named "magnetic"
|-
|4L 3s
|electric
|elec-
|ele
|Name proposed by CompactStar
|-
! colspan="5" |9-note mosses <3/1>
|-
!Mos
!Name (if given)
!Prefix
!Abbrev.
!Reasoning or ideas
|-
|4L 5s
|lambdatonic
|lam-
|lam
|"Lambda" already refers to tritave-equivalent 4L 5s
|}
 
== Reasoning for names ==
The overall motivation for these names is to give names to closely related mosses and refer to individual mosses as some member of a broader family, rather than name individual mosses.
 
Various terms have been used to similarly describe child mosses, notably the terms haplotonic, albitonic, and chromatic. However, the terms chosen are chromatic, enharmonic, and subchromatic, as they are the closest to being generalizable.
{| class="wikitable"
|-
!Source of terms
!Grandparent (2nd predecessor)
!Parent (1st predecessor)
!Mos
!Child (1st descendant)
!Grandchild (2nd descendant)
!Great-grandchild (3rd descendant)
!''k''th descendant
|-
|From [[Diatonic, Chromatic, Enharmonic, Subchromatic]]
|n/a
|n/a
|diatonic
|chromatic
|enharmonic
|subchromatic
|n/a
|-
| rowspan="2" |From [[Chromatic pairs]]
| rowspan="2" |n/a
| rowspan="2" |haplotonic
| rowspan="2" |albitonic
|chromatic
|mega-chromatic
|
|n/a
|-
|mega-albitonic
|chromatic
|mega-chromatic
|n/a
|-
|Temperament-based prefixes (see diatonic descendants table)
|n/a
|n/a
|mos
|prefixed with m- or p-
|prefixed with f-, m-, p-, or s-
|prefixed with t-, f-, m-, h-, p-, g-, s-, or u-
|n/a
|-
|Terminology used for this page
|n/a
|n/a
|mos
|chromatic mos
|enharmonic mos
|subchromatic mos
|''k''th descendant
|}The use of p- and m- as prefixes to refer to specific chromatic mosses, as well as the use of f- and s- for enharmonic mosses, has been suggested by various users, but gneralizing the pattern to 3rd mos descendants shows the letters diverging from one another, notably where m- is no longer next to p- and f- and s- are no longer along the extremes. Rather than using these letters, as well as being temperament-agnostic, prefixes based on step ratios are used instead. However, temperament-based prefixes may be used specifically for diatonic descendants as alternatives to the prefixes based on step ratios. For this reason, the former TAMNAMS names m- and p-chromatic are included as specific names.
{| class="wikitable"
|+Prefixes for diatonic descendants
! rowspan="2" |Diatonic scale
! colspan="3" |Chromatic mosses
! colspan="3" |Enharmonic mosses
! colspan="3" |Subchromatic mosses
|-
!Steps
!Temp-based prefix
!Ratio-based prefix
!Steps
!Temp-based prefix
!Ratio-based prefix
!Steps
!Temp-based prefix
!Ratio-based prefix
|-
| rowspan="8" |[[5L 2s]]
| rowspan="4" |[[7L 5s]]
| rowspan="4" |m- (from meantone)
| rowspan="4" |s-
| rowspan="2" |[[7L 12s]]
| rowspan="2" |f- (from flattone)
| rowspan="2" |s-
|[[7L 19s]]
|t- (from tridecimal)
|us-
|-
|[[19L 7s]]
|f- (from flattone)
|ps-
|-
| rowspan="2" |[[12L 7s]]
| rowspan="2" |m- (from meantone)
| rowspan="2" |os-
|[[19L 12s]]
|m- (from meanpop)
|qs-
|-
|[[12L 19s]]
|h- (from huygens)
|ms-
|-
| rowspan="4" |[[5L 7s]]
| rowspan="4" |p- (from pythagorean)
| rowspan="4" |h-
| rowspan="2" |[[12L 5s]]
| rowspan="2" |p- (from pythagorean)
| rowspan="2" |oh-
|[[12L 17s]]
|p- (from pythagorean)
|mh-
|-
|[[17L 12s]]
|g- (from gentle)
|qh-
|-
| rowspan="2" |[[5L 12s]]
| rowspan="2" |s- (from superpyth)
| rowspan="2" |h-
|[[17L 5s]]
|s- (from superpyth)
|ph-
|-
|[[5L 17s]]
|u- (from ultrapyth)
|uh-
|}
Retrieved from "https://en.xen.wiki/w/User:Ganaram_inukshuk/TAMNAMS_Extension"