8L 7s: Difference between revisions

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Ganaram inukshuk (talk | contribs)
Replaced scale tree, clarified tetrad being formed by adding cent values
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{{todo|cleanup|inline=1}}
{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
This MOS is the chromatic scale of Opossum temperament, which forms the tetrad 1-6\5-10\7-12\7 from steps 0-2-4-6 of its generator chain.
This scale is the chromatic scale of [[Opossum]] temperament, which forms the tetrad 1/1-[[6/5]]-[[10/7]]-[[12/7]] (0¢-316¢-617¢-933¢) by stacking the dark generator 2, 4, and 6 times above the root. Approximations of this tetrad range from 0¢-300¢-600¢-900¢ to 0¢-320¢-640¢-960¢.
 
{{Scale tree}}
{| class="wikitable"
|-
| | 2/15
| |
| |
| | 320
| | 640
| | 960
|-
| | 9/68
| |
| |
| | 317.647
| | 635.294
| | 952.941
|-
| |
| | 16/121
| |
| | 317.3555
| | 634.711
| | 952.066
|-
| |
| | 23/174
| |
| | 317.241
| | 634.483
| | 951.724
|-
| | 7/53
| |
| |
| | 316.981
| | 633.962
| | 950.943
|-
| |
| | 12/91
| |
| | 316.4835
| | 632.967
| | 949.4505
|-
| |
| | 17/129
| |
| | 316.163
| | 632.<span style="line-height: 1.5;">326</span>
| | 948.488
|-
| | 5/38
| |
| |
| | 315.7895
| | 631.579
| | 947.368
|-
| |
| | 23/175
| |
| | 315.714
| | 631.429
| | 947.143
|-
| |
| |
| | 41/312
| | 315.384
| | 630.769
| | 946.154
|-
| |
| |
| |
| | 315.332
| | 630.665
| | 945.997
|-
| |
| | 18/137
| |
| | 315.3285
| | 630.657
| | 945.9855
|-
| |
| | 13/99
| |
| | 315.1515
| | 630.303
| | 945.4545
|-
| |
| |
| |
| | 315.042
| | 630.084
| | 945.126
|-
| |
| | 8/61
| |
| | 314.754
| | 629.508
| | 944.262
|-
| |
| |
| |
| | 314.384
| | 628.768
| | 943.152
|-
| |
| | 11/84
| |
| | 314.286
| | 628.571
| | 942.857
|-
| |
| | 14/107
| |
| | 314.019
| | 628.037
| | 942.056
|-
| |
| | 17/130
| |
| | 313.846
| | 627.692
| | 941.5385
|-
| |
| | 20/153
| |
| | 313.7255
| | 627.451
| | 941.176
|-
| |
| | 23/176
| |
| | 313.636
| | 627.273
| | 940.909
|-
| | 3/23
| |
| |
| | 313.0435
| | 626.087
| | 939.1205
|-
| |
| | 37/284
| |
| | 312.676
| | 625.352
| | 938.028
|-
| |
| | 34/261
| |
| | 312.644
| | 625.287
| | 937.931
|-
| |
| | 31/238
| |
| | 312.605
| | 625.21
| | 937.815
|-
| |
| | 28/215
| |
| | 312.558
| | 625.112
| | 937.67
|-
| |
| | 25/192
| |
| | 312.5
| | 625
| | 937.5
|-
| |
| | 22/169
| |
| | 312.426
| | 624.852
| | 937.278
|-
| |
| | 19/146
| |
| | 312.329
| | 624.6575
| | 936.986
|-
| |
| | 16/123
| |
| | 312.195
| | 624.39
| | 936.585
|-
| |
| | 13/100
| |
| | 312
| | 624
| | 936
|-
| |
| | 10/77
| |
| | 311.688
| | 623.138
| | 935.2065
|-
| |
| | 7/54
| |
| | 311.111
| | 622.222
| | 933.333
|-
| |
| |
| |
| | 310.736
| | 621.473
| | 932.207
|-
| |
| | 11/85
| |
| | 310.588
| | 621.118
| | 931.706
|-
| |
| |
| |
| | 310.436
| | 620.872
| | 931.308
|-
| |
| | 15/116
| |
| | 310.345
| | 620.69
| | 931.0345
|-
| |
| | 19/147
| |
| | 310.204
| | 620.408
| | 930.612
|-
| | 4/31
| |
| |
| | 309.677
| | 619.1355
| | 929.032
|-
| |
| |
| |
| | 309.336
| | 619.6725
| | 928.009
|-
| |
| | 29/225
| |
| | 309.333
| | 618.667
| | 928
|-
| |
| | 25/194
| |
| | 309.278
| | 618.557
| | 927.835
|-
| |
| | 21/163
| |
| | 309.2025
| | 618.405
| | 927.6075
|-
| |
| | 17/132
| |
| | 309.091
| | 618.182
| | 927.273
|-
| |
| | 13/101
| |
| | 308.911
| | 617.822
| | 926.733
|-
| |
| | 9/70
| |
| | 308.571
| | 617.143
| | 925.714
|-
| |
| | 14/109
| |
| | 308.257
| | 616.514
| | 924.771
|-
| | 5/39
| |
| |
| | 307.692
| | 615.385
| | 923.077
|-
| |
| | 26/203
| |
| | 307.389
| | 614.778
| | 922.1675
|-
| |
| | 21/164
| |
| | 307.317
| | 614.634
| | 921.951
|-
| |
| | 16/125
| |
| | 307.2
| | 614.4
| | 921.6
|-
| |
| | 11/86
| |
| | 306.977
| | 613.9535
| | 920.93
|-
| | 6/47
| |
| |
| | 306.383
| | 612.766
| | 919.149
|-
| | 1/8
| |
| |
| | 300
| | 600
| | 900
|}
[[Category:Opossum]]
[[Category:Opossum]]
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]

Revision as of 00:30, 1 March 2024

↖ 7L 6s ↑ 8L 6s 9L 6s ↗
← 7L 7s 8L 7s 9L 7s →
↙ 7L 8s ↓ 8L 8s 9L 8s ↘
Scale structure
Step pattern LLsLsLsLsLsLsLs
sLsLsLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 13\15 to 7\8 (1040.0 ¢ to 1050.0 ¢)
Dark 1\8 to 2\15 (150.0 ¢ to 160.0 ¢)
TAMNAMS information
Related to 7L 1s (pine)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 7L 1s
Sister 7L 8s
Daughters 15L 8s, 8L 15s
Neutralized 1L 14s
2-Flought 23L 7s, 8L 22s
Equal tunings
Equalized (L:s = 1:1) 13\15 (1040.0 ¢)
Supersoft (L:s = 4:3) 46\53 (1041.5 ¢)
Soft (L:s = 3:2) 33\38 (1042.1 ¢)
Semisoft (L:s = 5:3) 53\61 (1042.6 ¢)
Basic (L:s = 2:1) 20\23 (1043.5 ¢)
Semihard (L:s = 5:2) 47\54 (1044.4 ¢)
Hard (L:s = 3:1) 27\31 (1045.2 ¢)
Superhard (L:s = 4:1) 34\39 (1046.2 ¢)
Collapsed (L:s = 1:0) 7\8 (1050.0 ¢)
ViewTalkEdit

8L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 7 small steps, repeating every octave. 8L 7s is a child scale of 7L 1s, expanding it by 7 tones. Generators that produce this scale range from 1040 ¢ to 1050 ¢, or from 150 ¢ to 160 ¢. This scale is the chromatic scale of Opossum temperament, which forms the tetrad 1/1-6/5-10/7-12/7 (0¢-316¢-617¢-933¢) by stacking the dark generator 2, 4, and 6 times above the root. Approximations of this tetrad range from 0¢-300¢-600¢-900¢ to 0¢-320¢-640¢-960¢.

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter:
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 8L 7s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
13\15 1040.000 160.000 1:1 1.000 Equalized 8L 7s
72\83 1040.964 159.036 6:5 1.200
59\68 1041.176 158.824 5:4 1.250
105\121 1041.322 158.678 9:7 1.286
46\53 1041.509 158.491 4:3 1.333 Supersoft 8L 7s
125\144 1041.667 158.333 11:8 1.375
79\91 1041.758 158.242 7:5 1.400
112\129 1041.860 158.140 10:7 1.429
33\38 1042.105 157.895 3:2 1.500 Soft 8L 7s
119\137 1042.336 157.664 11:7 1.571
86\99 1042.424 157.576 8:5 1.600
139\160 1042.500 157.500 13:8 1.625
53\61 1042.623 157.377 5:3 1.667 Semisoft 8L 7s
126\145 1042.759 157.241 12:7 1.714
73\84 1042.857 157.143 7:4 1.750
93\107 1042.991 157.009 9:5 1.800
20\23 1043.478 156.522 2:1 2.000 Basic 8L 7s
Scales with tunings softer than this are proper
87\100 1044.000 156.000 9:4 2.250
67\77 1044.156 155.844 7:3 2.333
114\131 1044.275 155.725 12:5 2.400
47\54 1044.444 155.556 5:2 2.500 Semihard 8L 7s
121\139 1044.604 155.396 13:5 2.600
74\85 1044.706 155.294 8:3 2.667
101\116 1044.828 155.172 11:4 2.750
27\31 1045.161 154.839 3:1 3.000 Hard 8L 7s
88\101 1045.545 154.455 10:3 3.333
61\70 1045.714 154.286 7:2 3.500
95\109 1045.872 154.128 11:3 3.667
34\39 1046.154 153.846 4:1 4.000 Superhard 8L 7s
75\86 1046.512 153.488 9:2 4.500
41\47 1046.809 153.191 5:1 5.000
48\55 1047.273 152.727 6:1 6.000
7\8 1050.000 150.000 1:0 → ∞ Collapsed 8L 7s