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4L 8s: Difference between revisions

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This is the minor chromatic scale of Diminished temperament. Its period of 300¢ (~6:5) is divided into L s s, making a universally proper scale, but the harmonic entropy minimum for it is not particularly low.
{{Infobox MOS
| Periods = 4
| nLargeSteps = 4
| nSmallSteps = 8
| Equalized = 1
| Collapsed = 0
| Pattern = LssLssLssLss
}}
{{MOS intro}}


{| class="wikitable"
This is the minor chromatic scale of [[diminished (temperament)|diminished]] temperament. Its period of 300{{c}} (~6:5) is divided into Lss, making a universally proper scale, but the harmonic entropy minimum for it is not particularly low. The name for this mos scale is '''p-chro tetrawood'''.
|-
 
| | 0/4
== Scale properties ==
| |
{{TAMNAMS use}}
| |
 
| | 0
=== Intervals ===
|-
{{MOS intervals}}
| | 1/28
 
| |
=== Generator chain ===
| |
{{MOS genchain}}
| | 42.857
 
|-
=== Modes ===
| |
{{MOS mode degrees}}
| | 6/164
 
| |
== Scale tree ==
| | 43.902
{{MOS tuning spectrum}}
|-
 
| |
[[Category:12-tone scales]]
| | 5/136
{{Todo|expand}}
| |
| | 44.118
|-
| |
| | 4/108
| |
| | 44.449
|-
| |
| | 3/80
| |
| | 45
|-
| |
| | 2/52
| |
| | 46.154
|-
| |
| | 3/76
| |
| | 47.368
|-
| |
| | 4/100
| |
| | 48
|-
| |
| | 5/124
| |
| | 48.387
|-
| |
| | 6/148
| |
| | 48.649
|-
| |
| | 7/172
| |
| | 48.837
|-
| |
| | 8/196
| |
| | 48.98
|-
| |
| | 9/220
| |
| | 49.091
|-
| | 1/24
| |
| |
| | 50
|-
| |
| | 5/116
| |
| | 51.724
|-
| |
| | 4/92
| |
| | 52.174
|-
| |
| | 3/68
| |
| | 52.941
|-
| |
| | 2/44
| |
| | 54.5455
|-
| |
| |
| | 5/108
| | 55.556
|-
| |
| | 3/64
| |
| | 56.25
|-
| |
| | 4/84
| |
| | 57.143
|-
| |
| | 5/104
| |
| | 57.692
|-
| |
| | 6/124
| |
| | 58.0645
|-
| |
| | 7/144
| |
| | 58.333
|-
| |
| | 8/164
| |
| | 58.537
|-
| |
| | 9/184
| |
| | 58.696
|-
| |
| | 10/204
| |
| | 58.8235
|-
| |
| | 11/224
| |
| | 58.929
|-
| |
| | 12/244
| |
| | 59.016
|-
| |
| |
| |
| | 300/(2+pi)
|-
| | 1/20
| |
| |
| | 60
|-
| |
| |
| |
| | 300/(2+e)
|-
| |
| | 7/136
| |
| | 61.765
|-
| |
| | 6/116
| |
| | 62.069
|-
| |
| | 5/96
| |
| | 62.5
|-
| |
| | 4/76
| |
| | 63.158
|-
| |
| | 3/56
| |
| | 64.286
|-
| |
| |
| |
| | 300/(3+phi)
|-
| |
| |
| | 5/92
| | 65.217
|-
| |
| | 2/36
| |
| | 66.667
|-
| |
| |
| | 7/124
| | 67.742
|-
| |
| |
| | 5/88
| | 68.<span style="line-height: 1.5;">182</span>
|-
| |
| | 3/52
| |
| | 69.4615
|-
| |
| | 4/68
| |
| | 70.588
|-
| |
| | 5/84
| |
| | 71.429
|-
| |
| | 6/100
| |
| | 72
|-
| |
| | 7/116
| |
| | 72.414
|-
| |
| | 8/132
| |
| | 72.727
|-
| |
| | 9/148
| |
| | 72.973
|-
| |
| | 10/164
| |
| | 73.146
|-
| |
| | 11/180
| |
| | 73.333
|-
| |
| | 12/196
| |
| | 73.49
|-
| |
| | 13/212
| |
| | 73.585
|-
| |
| | 14/228
| |
| | 73.684
|-
| |
| | 15/244
| |
| | 73.7705
|-
| |
| | 16/260
| |
| | 73.864
|-
| |
| | 17/276
| |
| | 73.913
|-
| |
| | 18/292
| |
| | 73.973
|-
| |
| | 19/308
| |
| | 74.026
|-
| | 1/16
| |
| |
| | 75
|-
| |
| | 10/156
| |
| | 76.923
|-
| |
| | 9/140
| |
| | 77.143
|-
| |
| | 8/124
| |
| | 77.419
|-
| |
| | 7/108
| |
| | 77.778
|-
| |
| | 6/92
| |
| | 78.261
|-
| |
| | 5/76
| |
| | 78.947
|-
| |
| |
| | 9/136
| | 79.412
|-
| |
| | 4/60
| |
| | 80
|-
| |
| |
| |
| | 300/(2+sqrt(3))
|-
| |
| |
| | 7/104
| | 80.769
|-
| |
| | 3/44
| |
| | 81.818
|-
| |
| |
| | 8/116
| | 82.759
|-
| |
| |
| |
| | 300/(2+hpi)
|-
| |
| | 5/72
| |
| | 83.333
|-
| |
| |
| |
| | 300/(2+pi/2)
|-
| |
| |
| | 12/172
| | 83.721
|-
| |
| | 7/100
| |
| | 84
|-
| | 2/28
| |
| |
| | 85.714
|-
| |
| | 11/152
| |
| | 86.842
|-
| |
| | 9/124
| |
| | 87.097
|-
| |
| | 7/96
| |
| | 87.5
|-
| |
| | 5/68
| |
| | 88.235
|-
| |
| | 8/108
| |
| | 88.889
|-
| |
| | 11/148
| |
| | 89.096
|-
| | 3/40
| |
| |
| | 90
|-
| |
| | 7/92
| |
| | 91.304
|-
| | 4/52
| |
| |
| | 92.308
|-
| | 1/12
| |
| |
| | 100
|}
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