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3L 13s: Difference between revisions

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This MOS, having its large steps separated by intervals of 4s, 4s and 5s; is the quasi-enharmonic scale of Magic temperament. It is also the smallest MOS which is ideal for composing melodies in Magic temperament, owing to the fact that the optimal generator range for it is the range where Magic temperament is tuned most accurately (6/19edo to 7/22edo); and is generated by a small major third no smaller than 5/16edo (375 cents).
{{infobox MOS}}
{{MOS intro}}


{| class="wikitable"
This MOS, having its large steps separated by intervals of 4s, 4s and 5s; is the quasi-[[enharmonic]] scale of [[Magic]] temperament. It is also the smallest MOS which is ideal for composing melodies in Magic temperament, owing to the fact that the optimal generator range for it is the range where Magic temperament is tuned most accurately (6/[[19edo]] to 7/[[22edo]]); and is generated by a small major third no smaller than 5/[[16edo]] (375{{c}}).
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| | 1/3
== Scale properties ==
| |
{{TAMNAMS use}}
| |
 
| |
=== Intervals ===
| |
{{MOS intervals}}
| |
 
| | 0
=== Generator chain ===
| | 0
{{MOS genchain}}
|-
 
| |
=== Modes ===
| |
{{MOS mode degrees}}
| |
 
| |
== Scale tree ==
| | 9/28
{{MOS tuning spectrum}}
| |
 
| | 171.429
[[Category:Abstract MOS patterns]]
| | 214.286
[[Category:Magic]]
|-
| |
| |
| |
| |
| |
| | 17/53
| | 181.132
| | 226.415
|-
| |
| |
| |
| | 8/25
| |
| |
| | 192
| | 240
|-
| |
| |
| |
| |
| |
| | 23/72
| | 200
| | 250
|-
| |
| |
| |
| |
| | 15/47
| |
| | 204.255
| | 255.319
|-
| |
| |
| |
| |
| |
| | 22/69
| | 208.696
| | 260.87
|-
| |
| |
| |
| |
| |
| |
| | 214.049
| | 267.561
|-
| |
| |
| | 7/22
| |
| |
| |
| | 218.182
| | 272.727
|-
| |
| |
| |
| |
| |
| | 27/85
| | 225.882
| | 282.353
|-
| |
| |
| |
| |
| |
| |
| | 226.898
| | 283.623
|-
| |
| |
| |
| |
| | 20/63
| |
| | 228.571
| | 285.714
|-
| |
| |
| |
| |
| |
| |
| | 230.1705
| | 287.713
|-
| |
| |
| |
| |
| |
| | 33/104
| | 230.769
| | 288.4615
|-
| |
| |
| |
| | 13/41
| |
| |
| | 234.146
| | 292.683
|-
| |
| |
| |
| |
| |
| | 32/101
| | 237.624
| | 297.03
|-
| |
| |
| |
| |
| | 19/60
| |
| | 240
| | 300
|-
| |
| |
| |
| |
| |
| | 25/79
| | 243.038
| | 303.7975
|-
| |
| | 6/19
| |
| |
| |
| |
| | 252.632
| | 315.789
|-
| |
| |
| |
| |
| |
| | 29/92
| | 260.87
| | 326.087
|-
| |
| |
| |
| |
| | 23/73
| |
| | 263.014
| | 328.767
|-
| |
| |
| |
| |
| |
| |
| | 263.792
| | 329.74
|-
| |
| |
| |
| |
| |
| | 40/127
| | 264.567
| | 330.709
|-
| |
| |
| |
| | 17/54
| |
| |
| | 266.667
| | 333.333
|-
| |
| |
| |
| |
| |
| | 45/143
| | 264.828
| | 331.034
|-
| |
| |
| |
| |
| |
| |
| | 268.846
| | 336.057
|-
| |
| |
| |
| |
| | 28/89
| |
| | 269.663
| | 337.079
|-
| |
| |
| |
| |
| |
| | 39/124
| | 270.968
| | 338.71
|-
| |
| |
| |
| |
| |
| |
| | 270.997
| | 338.746
|-
| |
| |
| | 11/35
| |
| |
| |
| | 274.286
| | 342.857
|-
| |
| |
| |
| |
| |
| | 38/121
| | 277.686
| | 347.107
|-
| |
| |
| |
| |
| | 27/86
| |
| | 279.07
| | 348.837
|-
| |
| |
| |
| |
| |
| | 43/137
| | 280.292
| | 350.365
|-
| |
| |
| |
| | 16/51
| |
| |
| | 282.353
| | 352.941
|-
| |
| |
| |
| |
| |
| | 37/118
| | 284.746
| | 355.932
|-
| |
| |
| |
| |
| | 21/67
| |
| | 286.567
| | 358.209
|-
| | 5/16
| |
| |
| |
| |
| |
| | 300
| | 375
|}
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