|
|
| (14 intermediate revisions by 7 users not shown) |
| Line 1: |
Line 1: |
| This is the bi-equal chromatic scale of [[Hexe]] temperament. It has a generator of up to the familiar semitone of 12edo (100¢) and two closed circles of minor sevenths representing the 2.9 subgroup separated thereby.
| | {{Infobox MOS}} |
| | {{MOS intro}} |
|
| |
|
| {| class="wikitable"
| | 6L 6s represents the bi-equal chromatic scale of [[Hexe]] temperament.<!-- Text removed for later rewording: "has two closed circles of minor sevenths representing the 2.9 subgroup separated thereby" --> |
| |-
| |
| | | 0/6
| |
| | |
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">0</span>
| |
| |-
| |
| | | 1/36
| |
| | |
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">33.333</span>
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">4/138</span>
| |
| | |
| |
| | |
| |
| | | 34.783
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">3/102</span>
| |
| | |
| |
| | |
| |
| | | 35.294
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">5/168</span>
| |
| | |
| |
| | | 35.714
| |
| |-
| |
| | |
| |
| | | 2/66
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">36.364</span>
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">5/162</span>
| |
| | |
| |
| | | 37.037
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">3/96</span>
| |
| | |
| |
| | |
| |
| | | 37.5
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">4/126</span>
| |
| | |
| |
| | |
| |
| | | 38.095
| |
| |-
| |
| | |
| |
| | | 5/156
| |
| | |
| |
| | |
| |
| | | 38.4615
| |
| |-
| |
| | |
| |
| | | 6/186
| |
| | |
| |
| | |
| |
| | | 38.71
| |
| |-
| |
| | | 1/30
| |
| | |
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">40</span>
| |
| |-
| |
| | |
| |
| | | 5/144
| |
| | |
| |
| | |
| |
| | | 41.667
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">4/114</span>
| |
| | |
| |
| | |
| |
| | | 42.105
| |
| |-
| |
| | |
| |
| | |
| |
| | | 7/198
| |
| | |
| |
| | | 42.424
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">3/84</span>
| |
| | |
| |
| | |
| |
| | | 42.857
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 8/222
| |
| | | 43.243
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">5/138</span>
| |
| | |
| |
| | | 43.478
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 7/192
| |
| | | 43.75
| |
| |-
| |
| | |
| |
| | | 2/54
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">44.444</span>
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 7/186
| |
| | | 45.384
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">5/132</span>
| |
| | |
| |
| | | 45.4545
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 8/210
| |
| | | 45.714
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">3/78</span>
| |
| | |
| |
| | |
| |
| | | 46.154
| |
| |-
| |
| | |
| |
| | |
| |
| | | 7/180
| |
| | |
| |
| | | 46.333
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">4/102</span>
| |
| | |
| |
| | |
| |
| | | 47.118
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">5/126</span>
| |
| | |
| |
| | |
| |
| | | 47.619
| |
| |-
| |
| | |
| |
| | | 6/150
| |
| | |
| |
| | |
| |
| | | 48
| |
| |-
| |
| | |
| |
| | | 7/174
| |
| | |
| |
| | |
| |
| | | 48.276
| |
| |-
| |
| | |
| |
| | | 8/198
| |
| | |
| |
| | |
| |
| | | 48.485
| |
| |-
| |
| | |
| |
| | | 9/222
| |
| | |
| |
| | |
| |
| | | 48.649
| |
| |-
| |
| | |
| |
| | | 10/246
| |
| | |
| |
| | |
| |
| | | 48.7805
| |
| |-
| |
| | |
| |
| | | 11/270
| |
| | |
| |
| | |
| |
| | | 48.889
| |
| |-
| |
| | |
| |
| | | 12/294
| |
| | |
| |
| | |
| |
| | | 49.082
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 200/(1+pi)
| |
| |-
| |
| | | 1/24
| |
| | |
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">50</span>
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 200/(1+e)
| |
| |-
| |
| | |
| |
| | | 7/162
| |
| | |
| |
| | |
| |
| | | 51.852
| |
| |-
| |
| | |
| |
| | | 6/138
| |
| | |
| |
| | |
| |
| | | 52.174
| |
| |-
| |
| | |
| |
| | | 5/114
| |
| | |
| |
| | |
| |
| | | 52.632
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">4/90</span>
| |
| | |
| |
| | |
| |
| | | 53.333
| |
| |-
| |
| | |
| |
| | |
| |
| | | 7/156
| |
| | |
| |
| | | 53.846
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">3/66</span>
| |
| | |
| |
| | |
| |
| | | 54.5455
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 8/174
| |
| | | 55.1724
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 200/(2+phi)
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">5/108</span>
| |
| | |
| |
| | | 55.556
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 7/150
| |
| | | 56
| |
| |-
| |
| | |
| |
| | | 2/42
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">57.143</span>
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 7/144
| |
| | | <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">58.333</span>
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">5/102</span>
| |
| | |
| |
| | | 58.225
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 8/162
| |
| | | 59.189
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">3/60</span>
| |
| | |
| |
| | |
| |
| | | 60
| |
| |-
| |
| | |
| |
| | |
| |
| | | 7/138
| |
| | |
| |
| | | 60.87
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">4/78</span>
| |
| | |
| |
| | |
| |
| | | 61.5385
| |
| |-
| |
| | |
| |
| | | 5/96
| |
| | |
| |
| | |
| |
| | | 62.5
| |
| |-
| |
| | |
| |
| | | 6/114
| |
| | |
| |
| | |
| |
| | | 63,158
| |
| |-
| |
| | |
| |
| | | 7/132
| |
| | |
| |
| | |
| |
| | | 63.727
| |
| |-
| |
| | |
| |
| | | 8/150
| |
| | |
| |
| | |
| |
| | | 64
| |
| |-
| |
| | |
| |
| | | 9/168
| |
| | |
| |
| | |
| |
| | | 64.286
| |
| |-
| |
| | |
| |
| | | 10/186
| |
| | |
| |
| | |
| |
| | | 64,516
| |
| |-
| |
| | |
| |
| | | 11/204
| |
| | |
| |
| | |
| |
| | | 64.706
| |
| |-
| |
| | |
| |
| | | 12/222
| |
| | |
| |
| | |
| |
| | | 64.865
| |
| |-
| |
| | |
| |
| | | 13/240
| |
| | |
| |
| | |
| |
| | | 65
| |
| |-
| |
| | | 1/18
| |
| | |
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">66,667</span>
| |
| |-
| |
| | |
| |
| | | 18/318
| |
| | |
| |
| | |
| |
| | | 67.9245
| |
| |-
| |
| | |
| |
| | | 17/300
| |
| | |
| |
| | |
| |
| | | 68
| |
| |-
| |
| | |
| |
| | | 16/282
| |
| | |
| |
| | |
| |
| | | 68.085
| |
| |-
| |
| | |
| |
| | | 15/264
| |
| | |
| |
| | |
| |
| | | 68.182
| |
| |-
| |
| | |
| |
| | | 14/246
| |
| | |
| |
| | |
| |
| | | 68.293
| |
| |-
| |
| | |
| |
| | | 13/228
| |
| | |
| |
| | |
| |
| | | 68.421
| |
| |-
| |
| | |
| |
| | | 12/210
| |
| | |
| |
| | |
| |
| | | 68.571
| |
| |-
| |
| | |
| |
| | | 11/192
| |
| | |
| |
| | |
| |
| | | 68.75
| |
| |-
| |
| | |
| |
| | | 10/174
| |
| | |
| |
| | |
| |
| | | 68.9655
| |
| |-
| |
| | |
| |
| | | 9/156
| |
| | |
| |
| | |
| |
| | | 69.231
| |
| |-
| |
| | |
| |
| | | 8/138
| |
| | |
| |
| | |
| |
| | | 69.565
| |
| |-
| |
| | |
| |
| | | 7/120
| |
| | |
| |
| | |
| |
| | | 70
| |
| |-
| |
| | |
| |
| | | 6/102
| |
| | |
| |
| | |
| |
| | | 70.588
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">5/84</span>
| |
| | |
| |
| | |
| |
| | | 71.286
| |
| |-
| |
| | |
| |
| | |
| |
| | | 9/150
| |
| | |
| |
| | | 72
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">4/66</span>
| |
| | |
| |
| | |
| |
| | | 72.364
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 200/(1+sqrt(3))
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">7/114</span>
| |
| | |
| |
| | | 73.368
| |
| |-
| |
| | |
| |
| | | 3/48
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">75</span>
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">8/126</span>
| |
| | |
| |
| | | 76.1905
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 200/(1+phi)
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">5/78</span>
| |
| | |
| |
| | |
| |
| | | 76.923
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">12/186</span>
| |
| | |
| |
| | | 77.419
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">7/108</span>
| |
| | |
| |
| | |
| |
| | | 77.778
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 200/(1+pi/2)
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">9/138</span>
| |
| | |
| |
| | |
| |
| | | 78.261
| |
| |-
| |
| | |
| |
| | | 11/168
| |
| | |
| |
| | |
| |
| | | 78.571
| |
| |-
| |
| | |
| |
| | | 13/198
| |
| | |
| |
| | |
| |
| | | 78.788
| |
| |-
| |
| | | 2/30
| |
| | |
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">80</span>
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">9/132</span>
| |
| | |
| |
| | |
| |
| | | 81.818
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">7/102</span>
| |
| | |
| |
| | |
| |
| | | 81.765
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">12/174</span>
| |
| | |
| |
| | | 82.759
| |
| |-
| |
| | |
| |
| | | 5/72
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">83.333</span>
| |
| |-
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">13/186</span>
| |
| | |
| |
| | | 83.871
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">8/114</span>
| |
| | |
| |
| | |
| |
| | | 84.2105
| |
| |-
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">11/156</span>
| |
| | |
| |
| | |
| |
| | | 84.5385
| |
| |-
| |
| | | 3/42
| |
| | |
| |
| | |
| |
| | |
| |
| | | <span style="font-size: 12.8000001907349px;">85.714</span>
| |
| |-
| |
| | | 1/12
| |
| | |
| |
| | |
| |
| | |
| |
| | | 100
| |
| |}
| |
|
| |
|
| [[Category:Abstract MOS patterns]] | | == Scale properties == |
| | {{TAMNAMS use}} |
| | |
| | === Intervals === |
| | {{MOS intervals}} |
| | |
| | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 6/5 = ↑ [[Semimist]] |
| | | 5/4 = Optimal [[hexe]] |
| | | 13/8 = Unnamed golden tuning |
| | | 13/5 = Unnamed golden tuning |
| | }} |
| | |
| | {{todo|expand}} |
| | [[Category:12-tone scales]] |