User:Ganaram inukshuk/TAMNAMS Extension: Difference between revisions

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.

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.

The scope of this TAMNAMS extension is as follows:

# 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.

## Secondarily, propose unique 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. This is currently limited to mosses with no more than 13 notes.

# Systematically name mosses for non-octave equaves, namely fifth and tritave-equivalent mosses. Names for mosses with no more than 10 notes are prioritized.

# 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.

== Naming mos descendants ==

To name mosses that have more than 10 notes, rather than giving mosses unique names, names are based on how they're related to another (named) mos and, optionally, what step ratio is needed for the parent to produce that mos.

! colspan="12" |Base names

! colspan="2" |Parent mos

! colspan="3" |Child (1st descendant)

! colspan="3" |Grandchild (2nd descendant)

! colspan="3" |Great-grandchild (3rd descendant)

!''k''th descendant

| colspan="2" |''(mos-name)''

| colspan="3" |''(step-ratio)-''chromatic ''(mos-name)''

''(step-ratio)-''chro ''(mos-name)''

 

''(step-ratio)-(mos-prefix)''enharmonic

| colspan="3" |''(step-ratio)''-enharmonic ''(mos-name)''

 

| colspan="3" |''(step-ratio)''-subchromatic ''(mos-name)''

''(step-ratio)''-subchro ''(mos-name)''

 

|''(k''th'') (mos-name)'' descendant

! colspan="2" |Parent mos

!''k''th descendant

|(3x+2y)L (x+y)s

|4:3 to 3:2

| rowspan="2" |(2x+y)L (x+y)s

| rowspan="2" |3:2 to 2:1

|(3x+2y)L (2x+y)s

|3:2 to 5:3

|qs-

|(2x+y)L (3x+2y)s

|5:3 to 2:1

| rowspan="4" |xL (x+y)s

| rowspan="4" |2:1 to 1:0

| rowspan="4" |h-

| rowspan="2" |(2x+y)L xs

| rowspan="2" |2:1 to 3:1

| rowspan="2" |oh-

|(2x+y)L (3x+y)s

|(3x+y)L (2x+y)s

|5:2 to 3:1

| rowspan="2" |xL (2x+y)s

| rowspan="2" |3:1 to 1:0

| rowspan="2" |h-

|(3x+y)L xs

|3:1 to 4:1

|ph-

|xL (3x+y)s

Mos descendant names have two main forms: a multi-part name, where the base name (''chromatic'', ''enharmonic'', ''subchromatic'', and ''descendant'') and mos name are separate words, and a one-part name, formed by prefixing the mos's prefix to the base names. The latter is recommended for mosses with no more than three periods, as the only 4 and 5-period mosses named by TAMNAMS are tetrawood and pentawood respectively. If a step ratio is specified for the former, it may be written out fully instead of prefixed to the base word.

The term ''k''th descendant can be used to refer to any mos that descends from another mos, regardless of how many generations apart the two are. To find the number of generations ''n'' separating the two mosses, use the following algorithm:

#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.

As diatonic (5L 2s) doesn't have a prefix, the terms ''chromatic'', ''enharmonic'', and ''subchromatic'' by themselves (and with no other context suggesting a non-diatonic mos) refer to 1st (child), 2nd (grandchild), and 3rd (great-grandchild) diatonic descendants. For consistency, mos descendant names apply to mosses whose child mosses exceed 10 notes. Since all mosses ultimately descend from some nL ns mos, every possible descendant up to 5 periods will be related to a named mos.

!Pattern!!Name

! colspan="2" |10-note mosses

 

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.

|dekwd-

|11-wood

|11-wud-

|11wd

|12-wood

|12-wud

|12wd

|etc...

|

|

|

=== Specific names for mosses beyond 10 notes (proposed) ===

{| class="wikitable"

! colspan="3" |11-note mosses

!Mos

|tanzanite or tenorite

|More naming puns ('''ten'''zanite or '''ten'''orite)

|7L 4s

|Restoration of an old name

|8L 3s

|sentonic or sensoid

|Modification or restoration of an old name that applied to its parent scale

|9L 2s

|Indirectly references a'''vila''' and '''casa'''blanca (Spanish for "white house", and a villa is a type of house) temperaments

|10L 1s

|miratonic or miraculoid

|Modification or restoration of an old name (miraculoid); reference miracle temperament

! colspan="3" |12-note mosses

!Mos

|In reference to the "ele" substring found in the word "eleven"

|Restoration of an old name

|-

|Restoration of an old name

|9L 3s

|ivanic

|Named after one of Alexander Nikolayevich Tcherepnin's sons

|10L 2s

|talaric

|Names based off of srutal/pajara temepraments

|11L 1s

! colspan="3" |13-note mosses

!Mos

|1L 12s

|zircon

|Zircon is used as a birthstone for December

|2L 11s

|litonic

|Portmanteau of liese, triton, and tritonic temperaments

|3L 10s

|magitonic or mystic

|In reference to magic temperament

|5L 8s

|

|

|6L 7s

|In reference to temperaments that divide the perfect 5th (3/2) into four

|8L 5s

|petroid

|Restoration of an old name

|9L 4s

|11L 2s

|maioquartal

|In reference to the "major fourths" scale used by Tcherepnin

|12L 1s

|quasidozenal

|Meant to invoke the phrase "almost twelve"

 

== Non-octave extensions (proposed) ==

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.

 

=== Equave-agnostic names (proposed) ===

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.

{| class="wikitable"

! colspan="5" |4-note mosses (new names only)

|2L 2s

|double trivial

|Yes (2)

|2triv-

!Mos

!Name

|-

|Yes (3)

|-

|Yes (2)

|2tri-

!Mos

!Name

!Mos

!Name

|-

|Yes (2)

|2atetra-

|-

|Yes (4)

|4triv-

|-

|Yes (2)

!Mos

!Name

|-

|Yes (3)

|3atri-

|-

|Yes (3)

!Mos

!Name

|-

|Yes (2)

|2ped-

|-

|Yes (2)

|2pent-

|-

|Yes (2)

|2apent-

|-

|Yes (2)

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).

11-note mosses require naming five pairs, so this naming scheme stops at 10-note mosses.

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.

 

Names are based on information that is available on their respective pages. Otherwise, possible ideas are given.

|Basic 3L 1s closely corresponds to the tetrachord of 5L 2s, but such a name (possibly tetrachoid), nor its abbreviations, shouldn't be too similar to "tetric"

 

|In reference to electromagnetism, 3L 4s <3/1> could be named "magnetic"

 

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, but not under a temperament-agnostic viewpoint.

!Source of terms