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.
Genchain Extend
No (optional)
Additional intervals corresponding to the number of additional generators going up and/or down after those represented by the UDP. This value is per period, and the default value is the number of large steps per period.
Degree Notation
No (optional)
How should degrees be named? Options include TAMNAMS mosdegree naming and ordinal naming (EG, the unison is either called the 0-mosstep or 1st).
MOS Prefix
No (optional)
If using TAMNAMS mosdegree naming, does the mos have a prefix?
Usage
The typical use of this template is for showing a table of scale degrees for a specific step ratio.
{{MOS degrees}}
Using a different scale signature
A scale signature different from the page's title can be entered as shown.
By default, cent and step values will be calculated for a step ratio of 2:1. A different step ratio can be entered as shown below. Up to 5 step ratios can be entered, written as p/q and with each ratio separated by semicolons.
By default, diamond-mos notation is used, or if the scale signature is 5L 2s, standard notation is used. Different notation can be entered as shown below, with semicolons separating the note names, sharp symbol, and flat symbol.
By default, the mode for which nominals are applied is the symmetric mode, corresponding to a UDP of n|n. In the case of a mos with an even number of modes and therefore two "middle" modes (n+1|n and n|n+1), the brighter of the two is used as the default instead. Since some notation schemes may use a different mode as its "default", the UDP can be changed, as shown below. (Use a comma instead of the pipe | symbol.)
The values in the table are calculated using a generator chain, or specifically by stacking its bright generator up from the root and down from the note one period up (usually down from the octave). The UDP described previously represents the lengths of the ascending and descending chains to reach all of the nominals, and extending further reaches pitches modified by accidentals.
The default extend value is the number of large steps per period. This means for multi-period mosses, there is an ascending and descending chain for each period.
As an example using 5L 2s, a value of 5 effectively shows the two possible note names for all of the black keys on a standard piano.
To show only the minor intervals, consider that the UDP here is 5|1, meaning that the ascending chain starts with 5 generators and the descending chain starts with 1 generator. Going up one more generator produces the augmented 4th, so it's not necessary to extend the ascending chain. Going down 4 more generators produces all of the minor intervals and one more after that produces the diminished 5th, so the descending chain should be extended further by 4.
This template supports entering separate values for the ascending and descending extend values; the first value is for the ascending chain, and the second for the descending chain, as shown below.
There are currently two ways of naming scale degrees supported by this template: using TAMNAMS numbering (which starts at 0 for the unison) and ordinal numbering (which starts at the 1st for the unison). The default is TAMNAMS degree notation, but this can be changed to ordinal notation as shown below.
It may be beneficial to change the prefix in cases where more than one nondiatonic mos is being discussed. The default is "mos", but this can be changed as shown below, using the previous section's example. (Do not add a hyphen to the end of the prefix, as the template will do that automatically.)
