8L 7s: Difference between revisions

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{{Infobox MOS}}
{{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 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.



Revision as of 22:16, 21 February 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 ¢)

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 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.

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
17/129 316.163 632.326 948.488
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