Template:MOS gamut/doc: Difference between revisions

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== Parameters ==
{{dochead}}{{lua}}
This template is used for mos pages and similar pages to list the note names of a mos for a given step ratio.


=== Parameters ===
{| class="wikitable"
{| class="wikitable"
|-
|-
! Parameters !! Required? !! Description
! Parameters !! Required? !! Description
|-
|-
| Scale Signature || Yes (optional on mos pages) || The mos's scale signature in the form "xL ys", or for non-octave mosses, <nowiki>"xL ys<p/q>"</nowiki>, "xL ys⟨p/q⟩", or "xL ys (p/q-equivalent)". If left blank and used on a mos page, then the page's title will be used.
| <pre>Scale Signature</pre> || Yes (optional on mos pages) || The mos's scale signature in the form "xL&nbsp;ys", or for non-octave mosses, "xL&nbsp;ys&lt;p/q&gt;", "xL&nbsp;ys⟨p/q⟩", or "xL&nbsp;ys&nbsp;(p/q-equivalent)". If left blank and used on a mos page, then the page's title will be used.
|-
|-
| Step Ratio || No (optional) || The step ratio of the mos, denoted as a fraction p/q. If not simplified, then the ratio is automatically simplified. If left blank, then then step ratio 2/1 is used by default.
| <pre>Step Ratio</pre> || No (optional) || The step ratio of the mos, denoted as a fraction p/q and separated with a slash. If left blank, then the step ratio "2/1" is used by default.
|-
|-
| Bright Gens Up || No (optional) || The number of bright generators going up needed to produce the mode for which notation is applied. If a mode is denoted using its [[UDP]] (up|dp), this is the value up (u times p). If left blank, then the brightest mode is used by default.
| <pre>UDP</pre> || No (optional) || The UDP representing the mode for which notation is applied. Due to technical limitations, using the pipe symbol is not advised and the "," character (comma) should be used instead.
|-
|-
| Note Symbols || No (optional) || A string of note symbols, such as CDEFGAB (for standard notation) and JKLMNOP (for [[diamond-MOS]] notation). This should be entered as a string, where one character is one note name. If left blank, then standard notation (for 5L 2s) or diamond-MOS notation (for anything else) is used by default.
| <pre>Notation</pre> || No (optional) || The notation for note names, consisting of the naturals (written without separators), sharp symbol, and flat symbol, each separated by semicolons. For example, standard notation is entered as "CDEFGAB; #; b". If left blank, the default is diamond-MOS notation (JKLMNOP for naturals, & for the sharp symbol, and @ for the flat symbol), or if the scale signature is 5L&nbsp;2s, the default is standard notation.
|-
| Sharp Symbol || No (optional) || The symbol used to denote raising by a chroma, usually a sharp (#) or diamond-MOS's am/amp symbol (&). If left blank, then either # or & is used by default.
|-
| Flat Symbol || No (optional) || The symbol used to denote lowering by a chroma, usually a flat (b) or diamond-MOS's at symbol (@). If left blank, then either b or @ is used by default.
|}
|}


== Usage ==
=== Usage ===
 
The typical use of this template is for describing a mos's gamut, the set of named notes. This produces a gamut using the step ratio 2/1 with nominals (notes without accidentals) assigned to the middle mode. The middle mode has a UDP of n|n, but if there is an even number of modes and there are two "middle" modes, then the brighter of the two is used.
The typical use of this template is for describing a mos's gamut, the set of named notes, with accidentals.


<pre>{{MOS gamut}}</pre>
<pre>{{MOS gamut}}</pre>


=== Using a different scale signature ===
==== Using a different step ratio ====
An example of using a different step ratio is shown below. Accidentals (or notes with accidentals) are only added for any scale degrees that lie between nominals, and the amount will depend on the step ratio.


If desired, a different scale signature can be entered as shown below.
<pre>{{MOS gamut|Scale Signature = 4L 3s|Step Ratio = 3/1}}</pre>
<pre>{{MOS gamut|Scale Signature = 2L 5s}}</pre>
{{{{ROOTPAGENAME}}|Scale Signature = 4L 3s|Step Ratio = 3/1}}
{{MOS gamut|Scale Signature = 2L 5s}}


=== Examples ===
==== Using different notation and a different mode ====
This template uses the following defaults:
* Default notation: Diamond-MOS notation (nominals of JKL..., accidentals of & and @)
* Default UDP: middle mode (EG, for 4L 3s, this is mode <nowiki>3|3</nowiki>)


An example of this template's usage can be shown using Armodue notation (used for 7L 2s) and Lambda notation (used for 3/1-equivalent 4L 5s).
Two examples of changing the notation and mode are shown below, for Armodue notation (associated with 7L 2s) and Lambda (associated with 4L 5s {{Angbr|3/1}}).


<pre>{{MOS gamut|Scale Signature = 7L 2s|Bright Gens Up = 7|Note Symbols = 123456789|Sharp Symbol = #|Flat Symbol = b}}</pre>
<pre>{{MOS gamut|Scale Signature = 7L 2s|UDP= 7,1|Notation = 123456789; #; b}}</pre>
{{MOS gamut|Scale Signature = 7L 2s|Bright Gens Up = 7|Note Symbols = 123456789|Sharp Symbol = #|Flat Symbol = b}}
{{{{ROOTPAGENAME}}|Scale Signature = 7L 2s|UDP = 7,1|Notation = 123456789; #; b}}


<pre>{{MOS gamut|Scale Signature = 4L 5s (3/1-equivalent)|Bright Gens Up = 5|Note Symbols = CDEFGHJAB|Sharp Symbol = #|Flat Symbol = b}}</pre>
<pre>{{MOS gamut|Scale Signature = 4L 5s (3/1-equivalent)|UDP = 5,3|Notation = CDEFGHJAB; #; b}}</pre>
{{MOS gamut|Scale Signature = 4L 5s (3/1-equivalent)|Bright Gens Up = 5|Note Symbols = CDEFGHJAB|Sharp Symbol = #|Flat Symbol = b}}
{{{{ROOTPAGENAME}}|Scale Signature = 4L 5s (3/1-equivalent)|UDP = 5,3|Notation = CDEFGHJAB; #; b}}


== Limitations ==
=== Limitations ===
Equivalent pitch classes are currently limited to pitches that fall at the exact midpoint of two other pitches, such as C# and Db being equivalent in standard notation, or C and B# being equivalent. This is to ensure note names have as few accidentals as possible.


Enharmonic equivalences are currently limited to pitches that fall at the exact midpoint of two other pitches, such as C# and Db being equivalent in standard notation. This is to name every pitch using note names that have as few accidentals as possible. Other equivalences, such as C and B# in standard notation, are not shown.
Since the intended use of this template is to show a gamut based on a generator chain, notes altered by accidentals smaller than a chroma, such as half-accidentals and [[ups and downs notation|ups and downs]], are not included. As such, if a step ratio is entered without being simplified, such as with 5L 2s in 24edo (step ratio of 4/2), the gamut produced will be for a simplified step ratio instead.


This template currently cannot handle accidentals any smaller than a sharp or flat (such as ups and downs). An example of this is 5L 2s in 24edo, with a step ratio is 4/2. In such cases, the step ratio is simplified and a simpler gamut is shown.
<pre>{{MOS gamut|Scale Signature = 5L 2s|Step Ratio = 4/2}}</pre>
{{{{ROOTPAGENAME}}|Scale Signature = 5L 2s|Step Ratio = 4/2}}


<pre>{{MOS gamut|Scale Signature = 5L 2s|Step Ratio = 4/2}}</pre>
Specific symbols for double-accidentals, such as "x" for double-sharps, are not supported.
{{MOS gamut|Scale Signature = 5L 2s|Step Ratio = 4/2}}
 
This template can accept equalized and collapsed step ratios. Collapsed step ratios may not be displayed properly, but this is an aesthetic issue.


This template can accept equalized step ratios, but currently not collapsed step ratios. This is, however, an aesthetic issue.
<pre>{{MOS gamut|Scale Signature = 5L 2s|Step Ratio = 1/1}}</pre>
{{{{ROOTPAGENAME}}|Scale Signature = 5L 2s|Step Ratio = 1/1}}


<pre>{{MOS gamut|Scale Signature = 5L 2s|Step Ratio = 1/0}}</pre>
<pre>{{MOS gamut|Scale Signature = 5L 2s|Step Ratio = 1/0}}</pre>
{{MOS gamut|Scale Signature = 5L 2s|Step Ratio = 1/0}}
{{{{ROOTPAGENAME}}|Scale Signature = 5L 2s|Step Ratio = 1/0}}
 
The design of the template itself is not finalized.

Latest revision as of 03:10, 16 February 2025

This template uses Lua:

This template is used for mos pages and similar pages to list the note names of a mos for a given step ratio.

Parameters

Parameters Required? Description 
Scale Signature
 Yes (optional on mos pages) The mos's scale signature in the form "xL ys", or for non-octave mosses, "xL ys<p/q>", "xL ys⟨p/q⟩", or "xL ys (p/q-equivalent)". If left blank and used on a mos page, then the page's title will be used. 
Step Ratio
 No (optional) The step ratio of the mos, denoted as a fraction p/q and separated with a slash. If left blank, then the step ratio "2/1" is used by default. 
UDP
 No (optional) The UDP representing the mode for which notation is applied. Due to technical limitations, using the pipe symbol is not advised and the "," character (comma) should be used instead. 
Notation
 No (optional) The notation for note names, consisting of the naturals (written without separators), sharp symbol, and flat symbol, each separated by semicolons. For example, standard notation is entered as "CDEFGAB; #; b". If left blank, the default is diamond-MOS notation (JKLMNOP for naturals, & for the sharp symbol, and @ for the flat symbol), or if the scale signature is 5L 2s, the default is standard notation.

Usage

The typical use of this template is for describing a mos's gamut, the set of named notes. This produces a gamut using the step ratio 2/1 with nominals (notes without accidentals) assigned to the middle mode. The middle mode has a UDP of n|n, but if there is an even number of modes and there are two "middle" modes, then the brighter of the two is used. 

{{MOS gamut}}

Using a different step ratio

An example of using a different step ratio is shown below. Accidentals (or notes with accidentals) are only added for any scale degrees that lie between nominals, and the amount will depend on the step ratio. 

{{MOS gamut|Scale Signature = 4L 3s|Step Ratio = 3/1}}

J, K@, J&, K, L, M@, L&, M, N, O@, N&, O, P, J@, P&, J

Using different notation and a different mode

This template uses the following defaults:

  • Default notation: Diamond-MOS notation (nominals of JKL..., accidentals of & and @)
  • Default UDP: middle mode (EG, for 4L 3s, this is mode 3|3)

Two examples of changing the notation and mode are shown below, for Armodue notation (associated with 7L 2s) and Lambda (associated with 4L 5s ⟨3/1⟩). 

{{MOS gamut|Scale Signature = 7L 2s|UDP= 7,1|Notation = 123456789; #; b}}

1, 1#/2b, 2, 2#/3b, 3, 3#/4b, 4, 5, 5#/6b, 6, 6#/7b, 7, 7#/8b, 8, 8#/9b, 9, 1 

{{MOS gamut|Scale Signature = 4L 5s (3/1-equivalent)|UDP = 5,3|Notation = CDEFGHJAB; #; b}}

C, C#/Db, D, E, F, F#/Gb, G, H, H#/Jb, J, A, A#/Bb, B, C

Limitations

Equivalent pitch classes are currently limited to pitches that fall at the exact midpoint of two other pitches, such as C# and Db being equivalent in standard notation, or C and B# being equivalent. This is to ensure note names have as few accidentals as possible.

Since the intended use of this template is to show a gamut based on a generator chain, notes altered by accidentals smaller than a chroma, such as half-accidentals and ups and downs, are not included. As such, if a step ratio is entered without being simplified, such as with 5L 2s in 24edo (step ratio of 4/2), the gamut produced will be for a simplified step ratio instead. 

{{MOS gamut|Scale Signature = 5L 2s|Step Ratio = 4/2}}

J, J&/K@, K, L, L&/M@, M, M&/N@, N, N&/O@, O, P, P&/J@, J

Specific symbols for double-accidentals, such as "x" for double-sharps, are not supported.

This template can accept equalized and collapsed step ratios. Collapsed step ratios may not be displayed properly, but this is an aesthetic issue. 

{{MOS gamut|Scale Signature = 5L 2s|Step Ratio = 1/1}}

J, K, L, M, N, O, P, J 

{{MOS gamut|Scale Signature = 5L 2s|Step Ratio = 1/0}}

J, K/L, M, N, O/P, J

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