Template:MOS in EDO/doc

This template is implemented by the Lua module Module:MOS in EDO.

This template invokes the following functions: mos_in_edo_frame from MOS in EDO.

This template has been deprecated. Its replacements are Template:Dochead and Template:Module introspection.

This template uses Lua: Module: MOS in EDO

This template displays all MOS scales in a given EDO with a particular generator and number of periods per octave.

Parameters

Parameters	Required?	Description
EDO	Yes	The number of divisions in the edo.
Periods	No (optional)	The number of periods in the mos. Default is 1.
Temperament	No (optional)	The name of any temperaments associated with this mos.
Generation Limit	No (optional)	If set, this puts a maximum limit to the number of rows in the resulting table.
Step Visualization	No	Unused.

Usage

For typical use, enter the edo and generator in edosteps as shown.

{{MOS in EDO
| EDO=12
| Generator=7
}}

Generators 7\12 and 5\12

Step visualization	MOS (name)	Step sizes	Step ratio
├──────┼────┤	1L 1s	7, 5	7:5
├─┼────┼────┤	2L 1s	5, 2	5:2
├─┼─┼──┼─┼──┤	2L 3s	3, 2	3:2
├─┼─┼─┼┼─┼─┼┤	5L 2s (diatonic)	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┤	12edo	1, 1	1:1

Multi-period mosses

To display the mosses for a multi-period mos, enter the number of periods as shown below. The number of periods must divide the number of divisions without a remainder. The default value is 1 period.

{{MOS in EDO
| EDO=12
| Generator=5
| Periods=2
}}

Generators 5\12 and 1\12

Step visualization	MOS (name)	Step sizes	Step ratio
├────┼┼────┼┤	2L 2s	5, 1	5:1
├───┼┼┼───┼┼┤	2L 4s (malic)	4, 1	4:1
├──┼┼┼┼──┼┼┼┤	2L 6s (subaric)	3, 1	3:1
├─┼┼┼┼┼─┼┼┼┼┤	2L 8s (jaric)	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┤	12edo	1, 1	1:1

Limiting the number of rows

For large edos and for some generators, the number of rows in the table can be quite large. A limit on the number of rows can be entered as shown. The default is -1, which is no limit.

{{MOS in EDO
| EDO=31
| Generator=1
| Generation Limit=10
}}

Generators 1\31 and 30\31

Step visualization	MOS (name)	Step sizes	Step ratio
├┼─────────────────────────────┤	1L 1s	30, 1	30:1
├┼┼────────────────────────────┤	1L 2s	29, 1	29:1
├┼┼┼───────────────────────────┤	1L 3s	28, 1	28:1
├┼┼┼┼──────────────────────────┤	1L 4s	27, 1	27:1
├┼┼┼┼┼─────────────────────────┤	1L 5s (antimachinoid)	26, 1	26:1
├┼┼┼┼┼┼────────────────────────┤	1L 6s (onyx)	25, 1	25:1
├┼┼┼┼┼┼┼───────────────────────┤	1L 7s (antipine)	24, 1	24:1
├┼┼┼┼┼┼┼┼──────────────────────┤	1L 8s (antisubneutralic)	23, 1	23:1
├┼┼┼┼┼┼┼┼┼─────────────────────┤	1L 9s (antisinatonic)	22, 1	22:1
├┼┼┼┼┼┼┼┼┼┼────────────────────┤	1L 10s	21, 1	21:1

Temperament names

To add a temperament name, add it as shown. Note that how this is displayed is still work-in-progress.

{{MOS in EDO
| EDO=12
| Generator=5
| Periods=2
| Temperament=pajara
}}

Generators 5\12 and 1\12

Step visualization	MOS (name)	Step sizes	Step ratio	Temperament
├────┼┼────┼┤	2L 2s	5, 1	5:1	pajara[4]
├───┼┼┼───┼┼┤	2L 4s (malic)	4, 1	4:1	pajara[6]
├──┼┼┼┼──┼┼┼┤	2L 6s (subaric)	3, 1	3:1	pajara[8]
├─┼┼┼┼┼─┼┼┼┼┤	2L 8s (jaric)	2, 1	2:1	pajara[10]
├┼┼┼┼┼┼┼┼┼┼┼┤	12edo	1, 1	1:1	pajara[12]