Template:MOS mode degrees/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.
MOS Prefix	No (optional)	If using TAMNAMS mosdegree naming, does the mos have a prefix?
MODMOS Step Pattern	No (optional)	Step pattern of a MODMOS.
Mode Names	No (optional)	Names for the modes of a mos.

Usage

The typical use of this template is for showing a table of scale degrees for each mode of a mos or a modmos, a step pattern that deviates from the true mos pattern. Scale degrees are referred to as mosdegrees and are indexed starting at 0, per TAMNAMS parlance.

{{MOS mode degrees}}

Using a different scale signature

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

{{MOS mode degrees
| Scale Signature=5L 2s}}

Scale degrees of the modes of 5L 2s
UDP	Cyclic order	Step pattern	Scale degree (diadegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0	1	LLLsLLs	Perf.	Maj.	Maj.	Aug.	Perf.	Maj.	Maj.	Perf.
5\|1	5	LLsLLLs	Perf.	Maj.	Maj.	Perf.	Perf.	Maj.	Maj.	Perf.
4\|2	2	LLsLLsL	Perf.	Maj.	Maj.	Perf.	Perf.	Maj.	Min.	Perf.
3\|3	6	LsLLLsL	Perf.	Maj.	Min.	Perf.	Perf.	Maj.	Min.	Perf.
2\|4	3	LsLLsLL	Perf.	Maj.	Min.	Perf.	Perf.	Min.	Min.	Perf.
1\|5	7	sLLLsLL	Perf.	Min.	Min.	Perf.	Perf.	Min.	Min.	Perf.
0\|6	4	sLLsLLL	Perf.	Min.	Min.	Perf.	Dim.	Min.	Min.	Perf.

Using a different mos prefix

By default, the mos prefix is "mos". For TAMNAMS-named mosses, the mos prefix will be automatically added. For non-TAMNAMS mosses that have prefixes, enter it using the parameter "MOS Prefix", as shown.

{{MOS mode degrees
| Scale Signature=5L 2s
| MOS Prefix=mos}}

Using mode names

The mode names can be entered as shown below. The number of names must exactly match the number of modes, and each mode must be separated with a semicolon.

{{MOS mode degrees
| Scale Signature=4L 3s
| Mode Names=Nerevarine; Vivecan; Lorkhanic; Sothic; Kagrenacan; Almalexian; Dagothic}}

Scale degrees of the modes of 4L 3s
UDP	Cyclic order	Step pattern	Scale degree (smidegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0	1	LLsLsLs	Perf.	Maj.	Aug.	Maj.	Maj.	Perf.	Maj.	Perf.
5\|1	6	LsLLsLs	Perf.	Maj.	Perf.	Maj.	Maj.	Perf.	Maj.	Perf.
4\|2	4	LsLsLLs	Perf.	Maj.	Perf.	Maj.	Min.	Perf.	Maj.	Perf.
3\|3	2	LsLsLsL	Perf.	Maj.	Perf.	Maj.	Min.	Perf.	Min.	Perf.
2\|4	7	sLLsLsL	Perf.	Min.	Perf.	Maj.	Min.	Perf.	Min.	Perf.
1\|5	5	sLsLLsL	Perf.	Min.	Perf.	Min.	Min.	Perf.	Min.	Perf.
0\|6	3	sLsLsLL	Perf.	Min.	Perf.	Min.	Min.	Dim.	Min.	Perf.

Mode names for 5L 2s and its modmos LLsLsAs are provided by the template automatically.

Scale degrees of the modes of 5L 2s
UDP	Cyclic order	Step pattern	Scale degree (diadegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0	1	LLLsLLs	Perf.	Maj.	Maj.	Aug.	Perf.	Maj.	Maj.	Perf.
5\|1	5	LLsLLLs	Perf.	Maj.	Maj.	Perf.	Perf.	Maj.	Maj.	Perf.
4\|2	2	LLsLLsL	Perf.	Maj.	Maj.	Perf.	Perf.	Maj.	Min.	Perf.
3\|3	6	LsLLLsL	Perf.	Maj.	Min.	Perf.	Perf.	Maj.	Min.	Perf.
2\|4	3	LsLLsLL	Perf.	Maj.	Min.	Perf.	Perf.	Min.	Min.	Perf.
1\|5	7	sLLLsLL	Perf.	Min.	Min.	Perf.	Perf.	Min.	Min.	Perf.
0\|6	4	sLLsLLL	Perf.	Min.	Min.	Perf.	Dim.	Min.	Min.	Perf.

Scale degrees of the modes of 5L 2s (LsLLsAs)
UDP and alterations	Cyclic order	Step pattern	Scale degree (diadegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
2\|4 M6md	1	LsLLsAs	Perf.	Maj.	Min.	Perf.	Perf.	Min.	Maj.	Perf.
0\|6 M5md	2	sLLsAsL	Perf.	Min.	Min.	Perf.	Dim.	Maj.	Min.	Perf.
5\|1 A4md	3	LLsAsLs	Perf.	Maj.	Maj.	Perf.	Aug.	Maj.	Maj.	Perf.
3\|3 A3md	4	LsAsLsL	Perf.	Maj.	Min.	Aug.	Perf.	Maj.	Min.	Perf.
1\|5 M2md	5	sAsLsLL	Perf.	Min.	Maj.	Perf.	Perf.	Min.	Min.	Perf.
6\|0 A1md	6	AsLsLLs	Perf.	Aug.	Maj.	Aug.	Perf.	Maj.	Maj.	Perf.
0\|6 d3md d6md	7	sLsLLsA	Perf.	Min.	Min.	Dim.	Dim.	Min.	Dim.	Perf.

For use with modmosses

Entering a modmos's step pattern

The modes of a modified step pattern, or modmos, can be entered instead. This changes the table to display the closest true mos modes, as well as display the modes in rotational order rather than in decreasing modal brightness.

{{MOS mode degrees
| Scale Signature=5L 2s
| MODMOS Step Pattern=LsLLsAs}}

Scale degrees of the modes of 5L 2s (LsLLsAs)
UDP and alterations	Cyclic order	Step pattern	Scale degree (diadegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
2\|4 M6md	1	LsLLsAs	Perf.	Maj.	Min.	Perf.	Perf.	Min.	Maj.	Perf.
0\|6 M5md	2	sLLsAsL	Perf.	Min.	Min.	Perf.	Dim.	Maj.	Min.	Perf.
5\|1 A4md	3	LLsAsLs	Perf.	Maj.	Maj.	Perf.	Aug.	Maj.	Maj.	Perf.
3\|3 A3md	4	LsAsLsL	Perf.	Maj.	Min.	Aug.	Perf.	Maj.	Min.	Perf.
1\|5 M2md	5	sAsLsLL	Perf.	Min.	Maj.	Perf.	Perf.	Min.	Min.	Perf.
6\|0 A1md	6	AsLsLLs	Perf.	Aug.	Maj.	Aug.	Perf.	Maj.	Maj.	Perf.
0\|6 d3md d6md	7	sLsLLsA	Perf.	Min.	Min.	Dim.	Dim.	Min.	Dim.	Perf.

The step pattern for a modmos uses the characters L and s, either arranged differently from the true mos pattern or may include the characters A, c, and d. Each character has a value represented in large and small steps. It is recommended to use a step pattern whose value of L's and s's matches that of the true mos pattern. The table below shows the sizes of each supported step type.

Character	Case-sensitive?	Step name	Size in L's and s's
L	Yes (uppercase)	The large step of a mos	L
s	No (uppercase or lowercase)	The small step of a mos	s
c	Yes (lowercase)	The difference between a large and small step; the interval needed to add to a small step to make it a large step	L − s
A	Yes (uppercase)	An augmented step; a large step plus a chroma	2L − s
d	Yes (lowercase)	A diminished step (or diesis in some contexts); a small step minus a chroma	−L + 2s

As an example, the step pattern "LsLLsAs" is a modmos of 5L 2s, containing 3 large steps, 3 small steps, and one augmented step. The size of an augmented step is equivalent to that of a large step and chroma, and adding a chroma to a small step makes it a large step. In other words, the step pair "sA" is equivalent to that of "LL", since they have the same value in L's and s's, meaning that "LsLLsAs" is equal to 5 large steps and 2 small steps.

Caveats regarding closest-mode search

For each mode of a modmos, the template finds whichever that has the fewest alterations.

In cases where there are are more than one closest modes, both the brightest and darkest closest modes are provided. This doesn't always produce the mode that one may expect; for example, melodic minor (step pattern LsLLLLs) can be thought of as the Aeolian mode with a natural-6 and natural-7, but the template calculates the closest mode to be both Dorian (UDP 3|3) or Ionian (UDP 5|1).

Scale degrees of the modes of 5L 2s (LsLLLLs)
UDP and alterations	Cyclic order	Step pattern	Scale degree (diadegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
5\|1 m2md 3\|3 M6md	1	LsLLLLs	Perf.	Maj.	Min.	Perf.	Perf.	Maj.	Maj.	Perf.
3\|3 m1md 1\|5 M5md	2	sLLLLsL	Perf.	Min.	Min.	Perf.	Perf.	Maj.	Min.	Perf.
6\|0 A4md	3	LLLLsLs	Perf.	Maj.	Maj.	Aug.	Aug.	Maj.	Maj.	Perf.
6\|0 m6md 4\|2 A3md	4	LLLsLsL	Perf.	Maj.	Maj.	Aug.	Perf.	Maj.	Min.	Perf.
4\|2 m5md 2\|4 M2md	5	LLsLsLL	Perf.	Maj.	Maj.	Perf.	Perf.	Min.	Min.	Perf.
2\|4 d4md 0\|6 M1md	6	LsLsLLL	Perf.	Maj.	Min.	Perf.	Dim.	Min.	Min.	Perf.
0\|6 d3md	7	sLsLLLL	Perf.	Min.	Min.	Dim.	Dim.	Min.	Min.	Perf.

Default mode names

Modes of 5L 2s and some of its modmosses are automatically provided by the template, notably:

Harmonic minor and its modes
Harmonic major and its modes
Melodic minor and its modes
Neapolitan minor and its modes
Neapolitan major and its modes

The names as suggested by closest-mode search are provided, as well as some of its common names.