6L 6s: Difference between revisions

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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 = ↑&nbsp;[[Semimist]]
| 5/4 = Optimal [[hexe]]
| 13/8 = Unnamed golden tuning
| 13/5 = Unnamed golden tuning
}}
 
{{todo|expand}}
[[Category:12-tone scales]]