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 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

See also

• Module:MOS gamut – The Lua module that actually implements the functionality.