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

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This is a system for describing scales beyond the set of named TAMNAMS scales. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems, with the main difference here being how mosses can be named any number of generations away from a named mos.

To name mosses that have more than 10 notes, names are based on existing mosses and how they're related to one another, rather than giving each mos a unique name. The easiest and most general way to do this is to refer to such mosses as a ''mosdescendant''. For consistency, mosdescendant names apply to mosses whose child scales exceed 10 notes. Since all mosses ultimately descend from some nL ns mos, every possible mosdescendant ~~(at least~~ up to 5 periods), will be related to ~~some~~ mos that has a TAMNAMS name. These mosses are shown in the table below in '''bold'''.

To name mosses that have more than 10 notes, names are based on existing mosses and how they're related to one another, rather than giving each mos a unique name. The easiest and most general way to do this is to refer to such mosses as a ''mosdescendant''. The number of generations a mos is from a named mos can also be specified, so the child mos is a ''1st-mosdescendant'', its grandchild a ''2nd-mosdescendant'', its great-grandchild a ''3rd-mosdescaendnt'', and so on. The algorithm below explains how to find the number of generations two related mosses are, given the mos descends from a named mos whose child mosses already exceed 10 notes.

# 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 g = 0, where g 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 g by 1.

# If the sum of z and w is no more than 10, then the parent mos is zL ws and has a TAMNAMS name. If not, repeat the process starting at step 2.

The prefix of mos- can be replaced with the prefix of the mos the descendant is related to. As diatonic (5L 2s) doesn't have a prefix, its mosdescendants are called ''diatonic descendants'' instead, and mosses that are ''n'' generations away from 5L 2s are called ''nth diatonic descendants''.

For consistency, mosdescendant names apply to mosses whose child scales exceed 10 notes. Since all mosses ultimately descend from some nL ns mos, every possible mosdescendant up to 5 periods will be related to a mos that has a TAMNAMS name. These mosses are shown in the table below in '''bold'''.

{| class="wikitable"

|+Mosses for which mosdescendant names apply

Line 984:

Line 991:

|-

| rowspan="16" |1L 1s

| rowspan="16" |trivial

| rowspan="16" |trivial and monowood

| rowspan="11" |1L 2s

| rowspan="11" |antrial

Line 1,136:

Line 1,143:

|5L 5s

|'''pentawood (penwud-)'''

|}The number of generations a mos is from a named mos can also be specified, so the child mos is a ''1st-mosdescendant'', its grandchild a ''2nd-mosdescendant'', its great-grandchild a ''3rd-mosdescaendnt'', and so on. The algorithm below explains how to find the number of generations two related mosses are, given the mos descends from a named mos whose child mosses already exceed 10 notes.

|}

~~# 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 g = 0, where g 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 g by 1.~~

~~# If the sum of z and w is no more than 10, then the parent mos is zL ws and has a TAMNAMS name. If not, repeat the process starting at step 2.~~

The prefix of mos- can be replaced with the prefix for the mos itself. As diatonic (5L 2s) doesn't have a prefix, its mosdescendants are called ''diatonic descendants'' instead, and mosses that are ''n'' generations away from 5L 2s are called ''nth diatonic descendants''.

=== Names for specific mosdescendants ===

Child, grandchild, and great-grandchild names can also be referred to as the following:

Line 1,152:

Line 1,153:

As with mosdescendants, the prefix of mos- can be replaced with the prefix of the related mos, and the absence of a prefix refers to the descendants of diatonic (5L 2s).

The designations of moschromatic, mosenharmonic, and mossubchromatic refer to one of 2, 4, and 8 possible mosses respectively. To describe a specific mosdescendant, the name of a step ratio range can be prefixed to the name of the mosdescendant. Specifying the step ratio of these mosdescendants 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.)

The designations of moschromatic, mosenharmonic, and mossubchromatic refer to one of 2, 4, and 8 possible mosses respectively. To describe a specific mosdescendant, the name of a step ratio range can be prefixed to the name of the mosdescendant. Specifying the step ratio of these mosdescendants 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 mosdescendants, with the notable exception of ''soft'' and ''hard'', which may be used for mosenharmonic and mossubchromatic mosses to produce terminology that is more precise than just ''mosenharmonic'' or ''mossubchromatic'' but not as specific as their step ratio ranges.

{| class="wikitable"

|+Mosdescendant scales sorted by step ratio

Line 1,258:

Line 1,259:

|4:1 to 1:0

|}

These prefixes are used for specific mosdescendants, with the notable exception of ''soft'' and ''hard''. Those terms may also be used for mosenharmonic and mossubchromatic mosses, producing terminology that is more precise than just ''mosenharmonic'' or ''mossubchromatic'' but not as specific as their step ratio ranges. To avoid confusion, the specific step ratio prefixes used for mosenharmonic and mossubchromatic scales should not be used for moschromatic scales or each other.

Note: since soft and hard can be used for all three generations, the terms amphisoft and amphihard had to be made since there are no step ratio range names for the ranges outside of hyposoft and hypohard.

=== Names for mosdescendants with more than 5 ~~periods~~ ===

=== Names for mosdescendants with more than 5 ===

~~TAMNAMS only has names for mosses with up to 10 notes, which covers mosses with up to 5 periods.~~ To name ~~mosses~~ with more than 5 periods, the names for n-wood ~~names for~~ 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.

To name mosdescendants 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''.

{| class="wikitable"

|+Names for n-wood scales up to 10 periods

|+Names for wood scales up to 10 periods

!Mos

!Name

Line 1,296:

Line 1,295:

|dkw

|}

To keep names simple, the names for mosdescendants for mosses with 3 periods or more don't use the names of moschromatic, mosenharmonic, or mossubchromatic, but rather based on the term ''mosdescendant'' with the mos's prefix added accordingly, or more generally, written as ''n-wood descendants''. The number of generations from nL ns can also be specified.

=== Reasoning for names ===

The names for moschromatic scales are based on former names for the child scales for diatonic (5L 2s) - p-chromatic for 5L 7s and m-chromatic for 7L 5s - and was generalized to "moschromatic". The term enharmonic is a term already in use to describe the grandchild mosses of diatonic, and so was generalized to mosenharmonic. 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 mossubchromatic.

@@ Line 961: / Line 961: @@
 This is a system for describing scales beyond the set of named TAMNAMS scales. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems, with the main difference here being how mosses can be named any number of generations away from a named mos.
-To name mosses that have more than 10 notes, names are based on existing mosses and how they're related to one another, rather than giving each mos a unique name. The easiest and most general way to do this is to refer to such mosses as a ''mosdescendant''. For consistency, mosdescendant names apply to mosses whose child scales exceed 10 notes. Since all mosses ultimately descend from some nL ns mos, every possible mosdescendant (at least up to 5 periods), will be related to some mos that has a TAMNAMS name. These mosses are shown in the table below in '''bold'''.
+To name mosses that have more than 10 notes, names are based on existing mosses and how they're related to one another, rather than giving each mos a unique name. The easiest and most general way to do this is to refer to such mosses as a ''mosdescendant''. The number of generations a mos is from a named mos can also be specified, so the child mos is a ''1st-mosdescendant'', its grandchild a ''2nd-mosdescendant'', its great-grandchild a ''3rd-mosdescaendnt'', and so on. The algorithm below explains how to find the number of generations two related mosses are, given the mos descends from a named mos whose child mosses already exceed 10 notes.
+# 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 g = 0, where g 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 g by 1.
+# If the sum of z and w is no more than 10, then the parent mos is zL ws and has a TAMNAMS name. If not, repeat the process starting at step 2.
+The prefix of mos- can be replaced with the prefix of the mos the descendant is related to. As diatonic (5L 2s) doesn't have a prefix, its mosdescendants are called ''diatonic descendants'' instead, and mosses that are ''n'' generations away from 5L 2s are called ''nth diatonic descendants''.
+For consistency, mosdescendant names apply to mosses whose child scales exceed 10 notes. Since all mosses ultimately descend from some nL ns mos, every possible mosdescendant up to 5 periods will be related to a mos that has a TAMNAMS name. These mosses are shown in the table below in '''bold'''.
 {| class="wikitable"
 |+Mosses for which mosdescendant names apply
@@ Line 984: / Line 991: @@
 |-
 | rowspan="16" |1L 1s
-| rowspan="16" |trivial
+| rowspan="16" |trivial and monowood
 | rowspan="11" |1L 2s
 | rowspan="11" |antrial
@@ Line 1,136: / Line 1,143: @@
 |5L 5s
 |'''pentawood (penwud-)'''
-|}The number of generations a mos is from a named mos can also be specified, so the child mos is a ''1st-mosdescendant'', its grandchild a ''2nd-mosdescendant'', its great-grandchild a ''3rd-mosdescaendnt'', and so on. The algorithm below explains how to find the number of generations two related mosses are, given the mos descends from a named mos whose child mosses already exceed 10 notes.
+|}
-# 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 g = 0, where g 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 g by 1.
-# If the sum of z and w is no more than 10, then the parent mos is zL ws and has a TAMNAMS name. If not, repeat the process starting at step 2.
-The prefix of mos- can be replaced with the prefix for the mos itself. As diatonic (5L 2s) doesn't have a prefix, its mosdescendants are called ''diatonic descendants'' instead, and mosses that are ''n'' generations away from 5L 2s are called ''nth diatonic descendants''.
 === Names for specific mosdescendants ===
 Child, grandchild, and great-grandchild names can also be referred to as the following:
@@ Line 1,152: / Line 1,153: @@
 As with mosdescendants, the prefix of mos- can be replaced with the prefix of the related mos, and the absence of a prefix refers to the descendants of diatonic (5L 2s).
-The designations of moschromatic, mosenharmonic, and mossubchromatic refer to one of 2, 4, and 8 possible mosses respectively. To describe a specific mosdescendant, the name of a step ratio range can be prefixed to the name of the mosdescendant. Specifying the step ratio of these mosdescendants 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.)
+The designations of moschromatic, mosenharmonic, and mossubchromatic refer to one of 2, 4, and 8 possible mosses respectively. To describe a specific mosdescendant, the name of a step ratio range can be prefixed to the name of the mosdescendant. Specifying the step ratio of these mosdescendants 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 mosdescendants, with the notable exception of ''soft'' and ''hard'', which may be used for mosenharmonic and mossubchromatic mosses to produce terminology that is more precise than just ''mosenharmonic'' or ''mossubchromatic'' but not as specific as their step ratio ranges.
 {| class="wikitable"
 |+Mosdescendant scales sorted by step ratio
@@ Line 1,258: / Line 1,259: @@
 |4:1 to 1:0
 |}
-These prefixes are used for specific mosdescendants, with the notable exception of ''soft'' and ''hard''. Those terms may also be used for mosenharmonic and mossubchromatic mosses, producing terminology that is more precise than just ''mosenharmonic'' or ''mossubchromatic'' but not as specific as their step ratio ranges. To avoid confusion, the specific step ratio prefixes used for mosenharmonic and mossubchromatic scales should not be used for moschromatic scales or each other.
 Note: since soft and hard can be used for all three generations, the terms amphisoft and amphihard had to be made since there are no step ratio range names for the ranges outside of hyposoft and hypohard.
-=== Names for mosdescendants with more than 5 periods ===
+=== Names for mosdescendants with more than 5 ===
-TAMNAMS only has names for mosses with up to 10 notes, which covers mosses with up to 5 periods. To name mosses with more than 5 periods, the names for n-wood names for 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.
+To name mosdescendants 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''.
 {| class="wikitable"
-|+Names for n-wood scales up to 10 periods
+|+Names for wood scales up to 10 periods
 !Mos
 !Name
@@ Line 1,296: / Line 1,295: @@
 |dkw
 |}
-To keep names simple, the names for mosdescendants for mosses with 3 periods or more don't use the names of moschromatic, mosenharmonic, or mossubchromatic, but rather based on the term ''mosdescendant'' with the mos's prefix added accordingly, or more generally, written as ''n-wood descendants''. The number of generations from nL ns can also be specified.
 === Reasoning for names ===
 The names for moschromatic scales are based on former names for the child scales for diatonic (5L 2s) - p-chromatic for 5L 7s and m-chromatic for 7L 5s - and was generalized to "moschromatic". The term enharmonic is a term already in use to describe the grandchild mosses of diatonic, and so was generalized to mosenharmonic. 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 mossubchromatic.