Template:MOS gamut/doc

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. If not simplified, then the ratio is automatically simplified. 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.
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.
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

The typical use of this template is for describing a mos's gamut, the set of named notes, with accidentals.

{{MOS gamut}}

A scale signature different from the page's title can be specified as shown below.

{{MOS gamut|Scale Signature = 4L 3s}}

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

This produces a gamut with a step ratio of 2:1 for the brightest mode. Since it's common to use different step ratios and to apply notation to a different mode, an example of overriding the mode and step ratio is shown below.

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

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

{{MOS gamut|Scale Signature = 4L 3s|Bright Gens Up = 3|Step Ratio = 3/2}}

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

Using different notation

An example of this template's usage with different notation can be shown using Armodue notation (used for 7L 2s) and notation used for Lambda (3/1-equivalent 4L 5s).

{{MOS gamut|Scale Signature = 7L 2s|Bright Gens Up = 7|Note Symbols = 123456789|Sharp Symbol = #|Flat Symbol = b}}

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

{{MOS gamut|Scale Signature = 4L 5s (3/1-equivalent)|Bright Gens Up = 5|Note Symbols = CDEFGHJAB|Sharp Symbol = #|Flat Symbol = b}}

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

Limitations

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 therefore not shown.

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 produced.

{{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

This template can accept equalized step ratios, but currently not collapsed step ratios. This is, however, an aesthetic issue.

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

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

The design of the template itself is not finalized and is open to suggestions.