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

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== Sandboxed section: Naming mos modes ==

~~''Reasoning: what if TAMNAMS had~~ a ~~formal section for naming~~ mos ~~modes~~, the ~~same with~~ mos ~~names?''~~

The easiest way to name the modes of a mos, without having to memorize any names, is to refer to them by their [[Modal UDP notation|UDP]], which refers to how many generators are stacked above and below the tonic to produce a mode of the mos.

~~The easiest way to name the modes of a mos, without having to memorize any names~~, is ~~to refer to them by their [[Modal UDP notation|UDP]], described below:~~

This section's running example is 5L 3s, whose brightest mode is LLsLLsLs.

=== Modifications to UDP notation ===

Normal UDP notation is described below:

* For single-period mosses, the UDP is notated as ''u''|''d'', where ''u'' is the number of bright generators stacked ''above'' the tonic, ''d'' is the number of bright generators stacked ''below'' the tonic, and "|" is pronounced as "pipe". The full name of a mos's mode is '''xL ys u|d'''.

* For multi-period mosses with ''p'' periods, the UDP of is notated as ''up''|''dp''(''p''). Since there are generators being stacked above and below every mosperiod - not just the tonic - there are in total ''u times p'' and ''d times p'' generators being stacked above and below their respective starting pitches. The full name in this case is '''xL ys up|dp(p)'''.

* In either case, the name of the mos itself may also be used instead of its xL ys form.

~~This section's running example is 5L 3s, whose brightest mode is LLsLLsLs.~~

~~=== Modifications to UDP~~ notation ~~(wip) ===~~

To make notation easier, TAMNAMS makes the following modifications to UDP notation:

TAMNAMS makes the following modifications to ~~regular~~ UDP notation ~~to make notation simpler~~:

* The UDP for multi-period mosses may be ~~denoted~~ as ~~though one instance of its period is a single-period mos; instead of~~ ''up|dp''(p)~~, it~~ is ~~notated as~~ ''u|d''(p) or, in contexts where it doesn't cause confusion, ''u|d''.

* The UDP for multi-period mosses may be written as ''u|d''(''p'') rather than ''up|dp''(''p''). This is because the period already appears in both the quantity of bright (''u times p'') and dark (''d times p'') generators, and omitting the ''p'' term makes the notation less redundant. In contexts where it doesn't cause confusion, the notation can be simplified further to ''u|d.''

* The UDP for a mode may be shortened to "u|"~~, indicating~~ the ~~mode that is formed by stacking u generators above~~ the ~~tonic and n-1-u generators below~~ the ~~tonic~~. For example, "5L 3s 5|", which refers to LsLLsLLs, is read as "5 ell 3 ess 5 pipe".

* The UDP for a mode may be shortened to "u|" under the reasoning of omitting the ''d'' term makes the notation less redundant. For example, "5L 3s 5|", which refers to LsLLsLLs, is read as "5 ell 3 ess 5 pipe".

* ~~In contexts~~ where ~~using~~ the dark generator ~~is preferred~~, such as a mos whose dark generator is the bright generator of a mos ~~related to it~~, the ~~shortened~~ notation is instead "|d", indicating the mode is formed by stacking generators below the tonic, rather than above. Relative to "u|" notation, which can be thought of as ordering modes by decreasing brightness, "|d" reverses that order. The notation is otherwise identical, but "u|" notation is sufficient in most cases.

** The shortened notation of "u|" is sufficient in most cases, but in situations where it makes more sense to think in terms of the dark generator, such as with a mos whose dark generator is the bright generator of a related mos, the notation is instead "|d".

~~For an altered mode, we can use~~ any ~~accidental alteration whose meaning is clear. For non-diatonic mosses~~, the ~~degree modified is indicated using TAMNAMS's 0-indexing convention. For example, LsLsLLLs~~ can be ~~written "5L 3s 5| @4d" (read "5L 3s 5 pipe at-4-degree"), using the @ accidental from [[diamond-mos notation]]~~.

In any case, the name of a mos can be substituted for its xL ys form.

=== Finding mos modes ===

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|3L+6s (perfect)

|}

To denote alterations to a mode, we can use any accidental alteration whose meaning is clear. For non-diatonic mosses, the degree modified is indicated using TAMNAMS's 0-indexing convention. For example, LsLsLLLs can be written "5L 3s 5| @4d" (read "5L 3s 5 pipe at-4-degree"), using the @ accidental from [[diamond-mos notation]].

=== Named mos modes ===

@@ Line 2: / Line 2: @@
 == Sandboxed section: Naming mos modes ==
-''Reasoning: what if TAMNAMS had a formal section for naming mos modes, the same with mos names?''
+The easiest way to name the modes of a mos, without having to memorize any names, is to refer to them by their [[Modal UDP notation|UDP]], which refers to how many generators are stacked above and below the tonic to produce a mode of the mos.
-The easiest way to name the modes of a mos, without having to memorize any names, is to refer to them by their [[Modal UDP notation|UDP]], described below:
+This section's running example is 5L 3s, whose brightest mode is LLsLLsLs.
+=== Modifications to UDP notation ===
+Normal UDP notation is described below:
 * For single-period mosses, the UDP is notated as ''u''|''d'', where ''u'' is the number of bright generators stacked ''above'' the tonic, ''d'' is the number of bright generators stacked ''below'' the tonic, and "|" is pronounced as "pipe". The full name of a mos's mode is '''xL ys u|d'''.
 * For multi-period mosses with ''p'' periods, the UDP of is notated as ''up''|''dp''(''p''). Since there are generators being stacked above and below every mosperiod - not just the tonic - there are in total ''u times p'' and ''d times p'' generators being stacked above and below their respective starting pitches. The full name in this case is '''xL ys up|dp(p)'''.
-* In either case, the name of the mos itself may also be used instead of its xL ys form.
-This section's running example is 5L 3s, whose brightest mode is LLsLLsLs.
-=== Modifications to UDP notation (wip) ===
+To make notation easier, TAMNAMS makes the following modifications to UDP notation:
-TAMNAMS makes the following modifications to regular UDP notation to make notation simpler:
-* The UDP for multi-period mosses may be denoted as though one instance of its period is a single-period mos; instead of ''up|dp''(p), it is notated as ''u|d''(p) or, in contexts where it doesn't cause confusion, ''u|d''.
+* The UDP for multi-period mosses may be written as ''u|d''(''p'') rather than ''up|dp''(''p''). This is because the period already appears in both the quantity of bright (''u times p'') and dark (''d times p'') generators, and omitting the ''p'' term makes the notation less redundant. In contexts where it doesn't cause confusion, the notation can be simplified further to ''u|d.''
-* The UDP for a mode may be shortened to "u|", indicating the mode that is formed by stacking u generators above the tonic and n-1-u generators below the tonic. For example, "5L 3s 5|", which refers to LsLLsLLs, is read as "5 ell 3 ess 5 pipe".
+* The UDP for a mode may be shortened to "u|" under the reasoning of omitting the ''d'' term makes the notation less redundant. For example, "5L 3s 5|", which refers to LsLLsLLs, is read as "5 ell 3 ess 5 pipe".
-* In contexts where using the dark generator is preferred, such as a mos whose dark generator is the bright generator of a mos related to it, the shortened notation is instead "|d", indicating the mode is formed by stacking generators below the tonic, rather than above. Relative to "u|" notation, which can be thought of as ordering modes by decreasing brightness, "|d" reverses that order. The notation is otherwise identical, but "u|" notation is sufficient in most cases.
+** The shortened notation of "u|" is sufficient in most cases, but in situations where it makes more sense to think in terms of the dark generator, such as with a mos whose dark generator is the bright generator of a related mos, the notation is instead "|d".
-For an altered mode, we can use any accidental alteration whose meaning is clear. For non-diatonic mosses, the degree modified is indicated using TAMNAMS's 0-indexing convention. For example, LsLsLLLs can be written "5L 3s 5| @4d" (read "5L 3s 5 pipe at-4-degree"), using the @ accidental from [[diamond-mos notation]].
+In any case, the name of a mos can be substituted for its xL ys form.
 === Finding mos modes ===
@@ Line 211: / Line 209: @@
 |3L+6s (perfect)
 |}
+To denote alterations to a mode, we can use any accidental alteration whose meaning is clear. For non-diatonic mosses, the degree modified is indicated using TAMNAMS's 0-indexing convention. For example, LsLsLLLs can be written "5L 3s 5| @4d" (read "5L 3s 5 pipe at-4-degree"), using the @ accidental from [[diamond-mos notation]].
 === Named mos modes ===