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Wrote lead section as a rough draft for the main-namespace version (basically, many of these names are idiosyncratic)
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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).
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 names described in this section may be applied to mosses with very little usage, due to having a high step count or being generally unfamiliar. These names may only find usage by a single person or a small group and thus have limited acceptance by the community. These names may also be subject to change as the usage of these names or the scales they refer becomes more accepted by the community.
== 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.


== Relating a mos and its descendants ==
== Relating a mos and its descendants ==
In the absence of any mos names, a mos can be related to its descendants by treating the parent mos as the root of its own scale tree. The descendants of that mos share the following pattern of step counts.
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.
 
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.
{| class="wikitable"
{| class="wikitable"
! colspan="2" |Parent
! colspan="2" |Parent
Line 22: Line 25:
!Small steps
!Small steps
|-
|-
| rowspan="8" |x
| rowspan="8" |''x''
| rowspan="8" |y
| rowspan="8" |''y''
| rowspan="4" |x+y
| rowspan="4" |''x''+''y''
| rowspan="4" |x
| rowspan="4" |''x''
| rowspan="2" |x+y
| rowspan="2" |''x''+''y''
| rowspan="2" |2x+y
| rowspan="2" |2''x''+''y''
|x+y
|''x''+''y''
|3x+2y
|3''x''+2''y''
|-
|-
|3x+2y
|3''x''+2''y''
|x+y
|''x''+''y''
|-
|-
| rowspan="2" |2x+y
| rowspan="2" |2''x''+''y''
| rowspan="2" |x+y
| rowspan="2" |''x''+''y''
|3x+2y
|3''x''+2''y''
|2x+y
|2''x''+''y''
|-
|-
|2x+y
|2''x''+''y''
|3x+2y
|3''x''+2''y''
|-
|-
| rowspan="4" |x
| rowspan="4" |''x''
| rowspan="4" |x+y
| rowspan="4" |''x''+''y''
| rowspan="2" |2x+y
| rowspan="2" |2''x''+''y''
| rowspan="2" |x
| rowspan="2" |''x''
|2x+y
|2''x''+''y''
|3x+y
|3''x''+''y''
|-
|-
|3x+y
|3''x''+''y''
|2x+y
|2''x''+''y''
|-
|-
| rowspan="2" |x
| rowspan="2" |''x''
| rowspan="2" |2x+y
| rowspan="2" |2''x''+''y''
|3x+y
|3''x''+''y''
|x
|''x''
|-
|-
|x
|''x''
|3x+y
|3''x''+''y''
|}
|}
For example, the first three generations of ''diatonic descendants'' can be described as:
* ''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
=== Finding the ancestor of a descendant mos ''x''L ''y''s ===
For a mos ''x''L ''y''s, perform the following algorithm to find a familiar ancestor with target note count ''n'' or less:
#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 ''m<sub>1</sub>'' be assigned the value of max(''z'', ''w'') and ''m<sub>2</sub>'' the value of min(''z'', ''w'').
#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.


=== Finding a named ancestor for a descendant mos ===
=== Finding an ancestor's step ratio that produces a descandant mos ''x''L ''y''s ===
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:


== Names for mosses with more than 10 steps ==
#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.


=== Names for ''n''L ''n''s mosses with more than 10 steps ===
== Names for mosses with more than 10 notes ==
 
=== Names for ''n''L ''n''s mosses with more than 5 periods ===
The following names are based on the -wood names, with appropriate Greek numeral prefixes applied.
{| class="wikitable center-all"
{| class="wikitable center-all"
!Pattern
!Pattern
!Name
!Suggested name
!Prefix
!Prefix
!Abbrev.
!Abbrev.
!Reasoning
|-
|-
|6L 6s
|6L 6s
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|hexwd-
|hexwd-
|hxw
|hxw
|Greek numeral prefix (hexa-) for six, plus "wood"
|-
|-
|7L 7s
|7L 7s
Line 81: Line 109:
|hepwd-
|hepwd-
|hpw
|hpw
|Greek numeral prefix (hepta-) for seven, plus "wood"
|-
|-
|8L 8s
|8L 8s
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|octwd-
|octwd-
|ocw
|ocw
|Greek numeral prefix (octo-) for eight, plus "wood"
|-
|-
|9L 9s
|9L 9s
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|ennwd-
|ennwd-
|enw
|enw
|Greek numeral prefix (ennea-) for nine, plus "wood"
|-
|-
|10L 10s
|10L 10s
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|decwd-
|decwd-
|dkw
|dkw
|Greek numeral prefix (deca-) for ten, plus "wood"
|-
|-
|11L 11s
|11L 11s
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|hedwd-
|hedwd-
|hdw
|hdw
|Greek numeral prefix (hendeca-) for 11, plus "wood"
|-
|-
|12L 12s
|12L 12s
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|dodwd-
|dodwd-
|ddw
|ddw
|Greek numeral prefix (dodeca-) for 12, plus "wood"
|-
|-
|13L 13s
|13L 13s
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|13wd-
|13wd-
|13w
|13w
|Number 13 prepended to "wood"
|-
|-
|14L 14s
|14L 14s
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|14wd-
|14wd-
|14w
|14w
|Number 14 prepended to "wood"
|-
|-
|''k''L ''k''s
|''k''L ''k''s
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|''k''wd
|''k''wd
|''k''w
|''k''w
|General number ''k'' prepended to "wood"
|}
|}
=== Names for mosses with 11 or more notes ===
=== Names for mosses with 11 or more notes (excluding ''n''L ''n''s mosses) ===
{| class="wikitable center-all"
{| class="wikitable center-all"
! colspan="4" |11-note mosses
! colspan="4" |11-note mosses
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|
|
|Former TAMNAMS name.
|Former TAMNAMS name.
|-
|6L 6s
|hexawood
|
|Extension of ''k''-wood scales; coincidentally references hexe temperament.
|-
|-
|7L 5s
|7L 5s
Line 209: Line 241:
!Proposed by
!Proposed by
!Reasoning
!Reasoning
|-
|7L 7s
|heptawood
|
|Extension of ''k''-wood scales.
|-
|-
|13L 1s
|13L 1s
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!Proposed by
!Proposed by
!Reasoning
!Reasoning
|-
|2L 3s
|saturnian
|[[User:CompactStar|CompactStar]]
|In reference to "uranian" for 3L 2s<3/2>
|-
|-
|3L 2s
|3L 2s
Line 345: Line 377:
|}
|}
== Names for equave-agnostic mosses ==
== 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"
{| class="wikitable center-all"
! colspan="5" |TAMNAMS-named mosses
|-
!Mos
!Name
!Prefix
!Abbrev.
!Reasoning
|-
|1L 1s
|trivial
|triv
|trv
|Trivial mos pattern, simplest possible mos pattern
|-
|1L 2s
|antrial
|
|
|
|-
|2L 1s
|trial
|
|
|
|-
|1L 3s
|antetric
|
|
|
|-
|3L 1s
|tetric
|
|
|
|-
|1L 4s
|pedal
|
|
|
|-
|2L 3s
|pentic
|
|
|
|-
|3L 2s
|anpentic
|
|
|
|-
|4L 1s
|manual
|
|
|
|-
|-
! colspan="5" |6-note mosses
! colspan="5" |6-note mosses
Line 420: Line 392:
|ahex-
|ahex-
|ahx
|ahx
|
|Greek numeral prefix (hex-) for six, plus "an-"
|-
|-
|5L 1s
|5L 1s
Line 426: Line 398:
|hex-
|hex-
|hx
|hx
|
|Greek numeral prefix "(hex-) for six
|-
|-
! colspan="5" |7-note mosses
! colspan="5" |7-note mosses
Line 440: Line 412:
|ansap-
|ansap-
|asp
|asp
|
|Sanskrit numeral prefix (sapta-) for seven, plus "an-"
|-
|-
|2L 5s
|2L 5s
Line 446: Line 418:
|anhep-
|anhep-
|ahp
|ahp
|
|Greek numeral prefix (hepta-) for seven, plus "an-"
|-
|-
|3L 4s
|3L 4s
Line 452: Line 424:
|ansep-
|ansep-
|asep
|asep
|
|Latin numeral prefix (septen-) for seven, plus "an-"
|-
|-
|4L 3s
|4L 3s
Line 458: Line 430:
|sep-
|sep-
|sep
|sep
|
|Latin numeral prefix (septen-) for seven
|-
|-
|5L 2s
|5L 2s
Line 464: Line 436:
|hep-
|hep-
|hp
|hp
|
|Greek numeral prefix (hepta-) for seven
|-
|-
|6L 1s
|6L 1s
Line 470: Line 442:
|sap-
|sap-
|sp
|sp
|
|Sanskrit numeral prefix (sapta-) for seven
|-
|-
! colspan="5" |8-note mosses
! colspan="5" |8-note mosses
Line 484: Line 456:
|anast-
|anast-
|aast
|aast
|
|Sanskrit numeral prefix (aṣṭa-) for eight, plus "an-"
|-
|-
|3L 5s
|3L 5s
Line 490: Line 462:
|anoct-
|anoct-
|aoct
|aoct
|
|Greek/Latin numeral prefix (octo-) for eight, plus "an-"
|-
|-
|5L 3s
|5L 3s
Line 496: Line 468:
|oct-
|oct-
|oct
|oct
|
|Greek/Latin numeral prefix (octo-) for eight
|-
|-
|7L 1s
|7L 1s
Line 502: Line 474:
|ast-
|ast-
|ast
|ast
|
|Sanskrit numeral prefix (aṣṭa-) for eight
|-
|-
! colspan="5" |9-note mosses
! colspan="5" |9-note mosses
Line 516: Line 488:
|annav-
|annav-
|anv
|anv
|
|Sanskrit numeral prefix (nava-) for nine, plus "an-"
|-
|-
|2L 7s
|2L 7s
Line 522: Line 494:
|anenn-
|anenn-
|aenn
|aenn
|
|Greek numeral prefix (ennea-) for nine, plus "an-"
|-
|-
|4L 5s
|4L 5s
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|annov-
|annov-
|anv
|anv
|
|Latin numeral prefix (novem-) for nine, plus "an-"
|-
|-
|5L 4s
|5L 4s
Line 534: Line 506:
|nov-
|nov-
|nv
|nv
|
|Latin numeral prefix (novem-) for nine
|-
|-
|7L 2s
|7L 2s
Line 540: Line 512:
|enn-
|enn-
|enn
|enn
|
|Greek numeral prefix (ennea-) for nine
|-
|-
|8L 1s
|8L 1s
Line 546: Line 518:
|nav-
|nav-
|nv
|nv
|
|Sanskrit numeral prefix (nava-) for nine
|-
|-
! colspan="5" |10-note mosses
! colspan="5" |10-note mosses
Line 560: Line 532:
|andash-
|andash-
|adsh
|adsh
|
|Sanskrit numeral prefix (dasha-) for ten, plus "an-"
|-
|-
|3L 7s
|3L 7s
Line 566: Line 538:
|andeck-
|andeck-
|adek
|adek
|
|Greek/Latin numeral prefix (decem-/deca-) for ten, plus "an-"
|-
|-
|7L 3s
|7L 3s
Line 572: Line 544:
|deck-
|deck-
|dek
|dek
|
|Greek/Latin numeral prefix (decem-/deca-) for ten
|-
|-
|9L 1s
|9L 1s
Line 578: Line 550:
|dash-
|dash-
|dsh
|dsh
|
|Sanskrit numeral prefix (dasha-) for ten
|}
|}


== Appendix ==
== 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.
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.
More unique names have been prescribed by others, but have limited use or acceptance by the xen community as a whole.
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.
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