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This template uses Lua:
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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]
|
