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

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. The following names are used for specific generations - namely child, grandchild, and great-grandchild mosses:

* A child mos is a ''chromatic (mos name)'', or generally, ''chromatic mos''. For single-period mosses, this can be written as ''(mos-prefix)chromatic''.

* A grandchild mos is an ''enharmonic (mos name)'', or generally, ''enharmonic mos''. For single-period mosses, this can be written as ''(mos-prefix)enharmonic''.

* A great-grandchild mos is a ''subchromatic (mos name)'', or generally, ''subchromatic mos''. (Tentative name; open to better suggestions.) For single-period mosses, this can be written as ''(mos-prefix)subchromatic''.

Any mos more than 3 generations away from a named mos is broadly referred to as a ''(mos name) descendant'', ''(mos-prefix)descendant'' (for single-period mosses), or broadly, ''mos descendant''. These terms can also be used collectively for multiple mos descendants or to broadly describe any one mos descendant. Optionally, the number of generations can be specified, producing ''nth (mos name) descendant'', using the algorithm below:

# 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.

# 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.

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, 2nd, and 3rd diatonic descendants. For consistency, mos descendant names apply to mosses whose child scales 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.

{| class="wikitable center-all"

|+Mosses whose children have more than 10 notes (1st and 2nd descendants only)

! colspan="2" |6-note mosses

! colspan="2" |Chromatic mosses

! colspan="2" |Enharmonic mosses

!Pattern!!Name

!Patterns

!Names

!Patterns

!Names

! colspan="2" |7-note mosses

! colspan="2" |Chromatic mosses

! colspan="2" |Enharmonic mosses

!Pattern!!Name

!Patterns

!Names

!Patterns

!Names

|[[4L 3s]]|| smitonic

|4L 7s, 7L 4s

|smichromatic

|4A 11B, 7A 11B

|smienharmonic

|[[5L 2s]]||diatonic

|enharmonic

|[[6L 1s]]||arch(a)eotonic

|archeochromatic

|archeoenharmonic

! colspan="2" |8-note mosses

! colspan="2" |Chromatic mosses

! colspan="2" |Enharmonic mosses

|[[1L 7s]]

|1L 8s, 8L 1s

|n/a

|1A 9B, 8A 9B

|n/a

|[[2L 6s]]

|subaric

|2L 8s, 8L 2s

|n/a

|2A 10B, 8A 10B

|n/a

|[[3L 5s]]||checkertonic

|checkenharmonic

|[[4L 4s]]||tetrawood; diminished

|4L 8s, 8L 4s

|chromatic tetrawood

|4A 12B, 8A 12B

|enharmonic tetrawood

|[[5L 3s]]||oneirotonic

|5L 8s, 8L 5s

|oneirochromatic

|5A 13B, 8A 13B

|oneiroenharmonic

|[[6L 2s]]||ekic

|enharmonic ekic

|[[7L 1s]]||pine

|7L 8s, 8L 7s

|pinechromatic

|7A 15B, 8A 15B

|pinenharmonic

! colspan="2" |9-note mosses

! colspan="2" |Enharmonic mosses

|1L 8s

|antisubneutralic

|1L 9s, 9L 1s

|n/a

|1A 10B, 9A 10B

|n/a

|balzano

|[[3L 6s]]||tcherepnin

|gramenharmonic

|[[5L 4s]]|| semiquartal

|5L 9s, 9L 5s

|chtonchromatic

|5A 14B, 9A 14B

|chtonenharmonic

|[[6L 3s]]|| hyrulic

|enharmonic hyrulic

|[[7L 2s]]||superdiatonic

|7L 9s, 9L 7s

|armchromatic

|armenharmonic

|[[8L 1s]]||subneutralic

|8L 9s, 9L 8s

|bluchromatic

|8A 17B, 9A 17B

|bluenharmonic

! colspan="2" |10-note mosses

! colspan="2" |Enharmonic mosses

!Pattern!!Name

|asinenharmonic

|[[2L 8s]]||jaric

|2L 10s, 10L 2s

|chromatic jaric

|2A 12B, 10A 12B

|enharmonic jaric

|[[3L 7s]]|| sephiroid

|3L 10s, 10L 3s

|sephchromatic

|[[4L 6s]]||lime

|chromatic pentawood

|enharmonic pentawood

|[[6L 4s]]||lemon

|enharmonic lemon

|[[7L 3s]]||dicoid, zaltertic

|chromatic taric

|enharmonic taric

|[[9L 1s]]||sinatonic

|sinenharmonic

=== Names for mos descendants by step ratio ===

The designations of chromatic, enharmonic, and subchromatic refer to one of 2, 4, and 8 possible mosses respectively. To describe a specific mos descendant, the name of a step ratio range can be prefixed to the terms ''chromatic'', ''enharmonic'', and ''subchromatic'' (or ''(mos-prefix)chromatic'', ''(mos-prefix)enharmonic'', and ''(mos-prefix)subchromatic''). Specifying the step ratio is optional, and the names for step ratios can be abbreviated into a one or two-letter prefix. (Frostburn's abbreviations can be used here, too.) These prefixes are used for specific descendants, with the notable exception of ''soft'' and ''hard'', which may be used for subchromatic mosses to produce terminology that is more precise than just ''subchromatic'' but not as specific as their step ratio ranges. These prefixes must include a hyphen.

|+Descendant mosses sorted by generation and step ratio

! colspan="2" |Parent mos

! colspan="4" |Chromatic mosses

! colspan="4" |Enharmonic mosses

! colspan="6" |Subchromatic mosses

! rowspan="2" |Prefix

! rowspan="2" |Abbrev.

| rowspan="2" |soft-

| rowspan="2" |s-

| rowspan="4" |soft-

| rowspan="4" |hard-

| rowspan="2" |hard-

| rowspan="2" |h-

=== Names for mos descendants with more than 5 periods ===

To name mos descendants with more than 5 periods, the names for wood mosses are extended to hexawood, heptawood (or septawood), octawood, nonawood (or enneawood), and decawood. Beyond that, the naming scheme becomes 11-wood, 12-wood, and so on, and mosses are referred to ''(number)-wood descendants'', or specifically, ''chromatic (number)-wood'', ''enharmonic (number)-wood'', and ''subchromatic (number)-wood.''

The names for chromatic scales are based on former names for the child mosses of diatonic (5L 2s) - p-chromatic for 5L 7s and m-chromatic for 7L 5s - and was generalized to ''chromatic mos''. The term enharmonic is already in use to describe the grandchild mosses of diatonic, and so was generalized to ''enharmonic mos''. The term subchromatic is a term coined by Mike Battaglia to describe a scale that is more chromatic than either chromatic or enharmonic, and is generalized to ''subchromatic mos''.

 

The format of adding a mos's prefix to the terms descendant, chromatic, enharmonic, and subchromatic is best applied to single-period mosses. With mosses that directly descend from nL ns mosses especially, this is to keep names from becoming too cumbersome.

Various people have suggested 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. Generalizing the pattern to 3rd mos descendants reveals an issue where the letters started to diverge from one another, notably where m- is no longer next to p- and f- and s- are no longer along the extremes. Rather than to use these letters and to maintain temperament agnosticism, prefixes based on step ratios are used instead.

! colspan="3" |Chromatic mosses

! colspan="3" |Enharmonic mosses

! colspan="3" |Subchromatic mosses