Template:MOS in EDO/doc

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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]

See also