User:Ganaram inukshuk/TAMNAMS Extension: Difference between revisions

Main article: TAMNAMS

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 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 ==

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.

! colspan="2" |Parent

! colspan="2" |Child

! colspan="2" |Grandchild

! colspan="2" |Great-grandchild

!Large steps

!Small steps

!Large steps

!Small steps

!Large steps

!Small steps

!Large steps

!Small steps

|3''x''+2''y''

|''x''+''y''

| rowspan="2" |2''x''+''y''

| rowspan="2" |''x''+''y''

|3''x''+2''y''

|2''x''+''y''

|2''x''+''y''

|3''x''+2''y''

| rowspan="4" |''x''

| rowspan="4" |''x''+''y''

| rowspan="2" |2''x''+''y''

| rowspan="2" |''x''

|2''x''+''y''

|3''x''+''y''

|3''x''+''y''

|2''x''+''y''

| rowspan="2" |''x''

| rowspan="2" |2''x''+''y''

|3''x''+''y''

|''x''

|''x''

|3''x''+''y''

 

* ''Children of 5L 2s'': 7L 5s and 5L 7s

* ''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:

 

#Assign to ''z'' the value ''m₂'' and ''w'' the value ''m₁''-''m₂''.

#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 an ancestor's step ratio that produces a descandant mos ''x''L ''y''s ===

 

##Assign to ''U'' the vector { ''u_L'', ''u_s'' } = { 1, 0 } and V to the vector { ''v_L'', ''v_s'' } = { 0, 1 }.

#Let ''m₁'' be assigned the value of max(''z'', ''w'') and ''m₂'' the value of min(''z'', ''w'').

#Assign to ''z'' the value ''m₂'' and ''w'' the value ''m₁''-''m₂''.

 

== 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"

!Pattern

!Suggested name

|hexwd-

|hxw

|heptawood

|hepwd-

|hpw

|octwd-

|ocw

|enneawood

|ennwd-

|enw

|decwd-

|hendecawood

|hedwd-

|hdw

|Greek numeral prefix (hendeca-) for 11, plus "wood"

|dodecawood

|dodwd-

|ddw

|Greek numeral prefix (dodeca-) for 12, plus "wood"

|13L 13s

|13-wood

|13wd-

|13w

=== Names for mosses with 11 or more notes (excluding ''n''L ''n''s mosses) ===

{| class="wikitable center-all"

! colspan="4" |11-note mosses

!Pattern

!Suggested name(s)

|1L 10s

|tanzanite, tenorite

|[[User:Ganaram inukshuk|Ganaram inukshuk]]

|4L 7s

|kleistonic

|

| rowspan="2" |7L 4s

|suprasmitonic

|

|Former TAMNAMS name.

|daemotonic

|ultradiatonic, superarmotonic

|[[User:CompactStar|CompactStar]]

|In reference to diatonic and armotonic.

! colspan="4" |12-note mosses

!Pattern

!Suggested name(s)

|1L 11s

|helenite

|[[User:Ganaram inukshuk|Ganaram inukshuk]]

|7L 5s

|m-chromatic

|

! colspan="4" |13-note mosses

!Pattern

!Suggested name(s)

|1L 12s

|zircon

|[[User:Ganaram inukshuk|Ganaram inukshuk]]

|11L 2s

|hendecoid

|[[User:Eliora|Eliora]]

|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.

! colspan="4" |14-note mosses

!Suggested name(s)

{| class="wikitable center-all"

!Note count

!Pattern

|17

|[[User:Frostburn|Frostburn]]

|Frostburn's naming scheme only goes up to 3 generations, so this name is suggested.

| rowspan="2" |19

|[[User:Xenllium|Xenllium]]

|In reference to magic temperament.

|16L 3s

| rowspan="3" |22

|[[User:Frostburn|Frostburn]]

|In reference to Lucjan Żeligowski leading fights against the town of Giedraičiai.

|19L 3s

|giedraitic

|Named after the basic magic layout of [[Kite Giedraitis]]' [[Kite guitar|guitar]]. Proposed prefix is "kai-".

|21L 1s

|escapist

|[[User:Eliora|Eliora]]

|23

|quartismoid

|[[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.

== Names for non-octave mosses ==

 

!Suggested name(s)

|4L 3s

|electric

|[[User:CompactStar|CompactStar]]

! colspan="4" |9-note mosses <3/1>

!Pattern

!Suggested name(s)

|4L 5s

|lambdatonic

|n/a

! colspan="4" |11-note mosses <3/1>

!Suggested name(s)

|7L 4s

|superelectric

|[[User:CompactStar|CompactStar]]?

! colspan="4" |4-note mosses <3/2>

!Pattern

!Suggested name(s)

|1L 3s

|neptunian

|[[User:CompactStar|CompactStar]]

! colspan="4" |5-note mosses <3/2>

!Suggested name(s)

|2L 3s

|saturnian

|[[User:CompactStar|CompactStar]]

|3L 2s

|uranian

|?

== 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

!Pattern

!Suggested name

|1L 5s

|anhexic

|ahex-

|ahx

|5L 1s

|hexic

|hex-

|Greek numeral prefix "(hex-) for six

! colspan="5" |7-note mosses

|1L 6s

|ansaptic

|ansap-

|asp

|2L 5s

|anheptic

|anhep-

|ahp

|3L 4s

|anseptenic

|ansep-

|Latin numeral prefix (septen-) for seven, plus "an-"

|4L 3s

|septenic

|sep-

|Latin numeral prefix (septen-) for seven

|5L 2s

|heptic

|hep-

|hp

|6L 1s

|saptic

|sap-

|Sanskrit numeral prefix (sapta-) for seven

! colspan="5" |8-note mosses

!Pattern

!Suggested name

|1L 7s

|anastaic

|anast-

|aast

|3L 5s

|anoctic

|anoct-

|Greek/Latin numeral prefix (octo-) for eight, plus "an-"

|5L 3s

|octic

|oct-

|oct

|7L 1s

|astaic

|ast-

|ast

|Sanskrit numeral prefix (aṣṭa-) for eight

! colspan="5" |9-note mosses

!Suggested name

!Prefix

!Abbrev.

|1L 8s

|annavic

|annav-

|Sanskrit numeral prefix (nava-) for nine, plus "an-"

|2L 7s

|anennaic

|anenn-

|aenn

|4L 5s

|annovemic

|annov-

|anv

|5L 4s

|novemic

|nov-

|nv

|7L 2s

|ennaic

|enn-

|enn

|8L 1s

|navic

|nav-

|nv

! colspan="5" |10-note mosses

|1L 9s

|andashic

|andash-

|Sanskrit numeral prefix (dasha-) for ten, plus "an-"

|3L 7s

|andeckic

|andeck-

|adek

|Greek/Latin numeral prefix (decem-/deca-) for ten, plus "an-"

|7L 3s

|deckic

|deck-

|dek

|Greek/Latin numeral prefix (decem-/deca-) for ten

|9L 1s

|dashic

|dash-

|dsh

|Sanskrit numeral prefix (dasha-) for ten

== 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.