User:Moremajorthanmajor/7L 4s (diminished twelfth-equivalent): Difference between revisions

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|3\11|| || || || ||
|3\11|| || || || ||
| || 514¢17’9”
| || 514.286
|514¢17’9”||1||1||1.000||
|514.286||1||1||1.000||
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| ||510
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|540||6||5||1.200||
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|20\73
|510.638
|536.170
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|540.000||6||5||1.200||
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|545.{{Overline|45}}||5||4||1.250||
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| ||508¢28’28”
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|549¢9’9”||9||7||1.286||
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|39\142
|508.696
|547.825
|14
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|549.153||9||7||1.286||
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|508,235
|550.588
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| ||507.692
|553¢50’46”||4||3||1.333||
|553.846||4||3||1.333||
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|557¢44’47”||11||8||1.375||
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|41\149
|507,216
|556.701
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|560||7||5||1.400||
|557.746||11||8||1.375||
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|506.897
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|  ||506.{{Overline|6}}
|568¢25’16”||3||2||1.500||L/s = 3/2
|560.000||7||5||1.400||
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|573¢54’47”||11||7||1.571||
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|506.422
|561.468
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|562.500||10||7||1.428||
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|506.024
|563.855
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|  ||505.263
|568.421||3||2||1.500||L/s = 3/2
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|504.{{Overline|54}}
|572.{{Overline|72}}
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|573.913||11||7||1.571||
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|504.202
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|577.{{Overline|7}}||13||8||1.625||Unnamed golden tuning
|577.{{Overline|7}}||13||8||1.625||Unnamed golden tuning
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|580¢38’43”||5||3||1.667||
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|503.571
|578.571
|18
|11
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|580.645||5||3||1.667||
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|583.{{Overline|783}}||12||7||1.714||
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|586¢2’47”||7||4||1.750||
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|49\177
|502.563
|584.615
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|591.045
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|498¢47’43”
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|611¢19’15”||9||4||2.250||
|611.321||9||4||2.250||
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|39\140
|497.872
|612.766
|16
|7
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|  ||497.651
|614.512||7||3||2.333||
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|46\165
|497.{{Overline|297}}
|616.{{Overline|216}}
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|  || 497.143
|617.143||12||5||2.400||
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|41\147
|496.{{Overline|96}}
|618.{{Overline|18}}
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|620.690||5||2||2.500||
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|43\154
|496.154
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|614¢38’3”||7||3||2.333||
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|617¢8’34”||12||5||2.400||
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|50\179
|495.868
|624.793
|21
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|Unnamed golden tuning
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| ||495.652
|620¢41’23”||5||2||2.500||
|626.086||8||3||2.667||
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|624||13|| 5||2.600||Unnamed golden tuning
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|45\161
|495.413
|627.523
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| ||495¢39’8”
| ||495.238
|626¢5’13”||8||3||2.667||
|628.571||11||4||2.750||
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|628¢34’17”||11||4||2.750||
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|495.000
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|  ||494¢7’4”
|  ||494.118
|635¢17’39”||3||1||3.000||L/s = 3/1
|635.294||3||1||3.000||L/s = 3/1
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|493¢9’2”
|493.151
|641¢5’45”
|641.096
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| || || || || ||23\82
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| ||492¢51’26”
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|642¢51’26”||10||3||3.333||
|642.857||10||3||3.333||
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|646¢50’46”||7||2||3.500||
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|644.211
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|649¢10’49”||11||3||3.667||
|649.180||11||3||3.667||
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|654.{{Overline|54}}||4||1||4.000||
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|661¢13’28”||9||2||4.500||
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|490.141
|659.155
|13
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|661.224||9||2||4.500||
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|666.{{Overline|6}}||5||1||5.000||
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|675||6||1||6.000||
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|24\85
|488.136
|671.186
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|675.000||6||1||6.000||
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|15\53
|486.{{Overline|486}}
|681.{{Overline|081}}
|7
|1
|7.000
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|2\7|| || || || ||
|2\7|| || || || ||
| || 480
| || 480.000
|720||1||0||→ inf
|720.000||1||0||→ inf
|}
|}
==See also==
==See also==

Revision as of 02:27, 12 July 2023

7L 4s<diminished twelfth> has a generator of a narrow wolf to wide wolf fourth of 458.18¢ (3/11ed7/5) to 538.7755¢ (2/7ed11/7). Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.

Scale tree

Generator Cents[1] L s L/s Comments
g 3L
3\11 514.286 514.286 1 1 1.000
20\73 510.638 536.170 7 6 1.167
17\62 510.000 540.000 6 5 1.200
31\113 509.589 542.466 11 9 1.222
14\51 509.09 545.45 5 4 1.250
39\142 508.696 547.825 14 11 1.273
25\91 508.475 549.153 9 7 1.286
36\131 508,235 550.588 13 10 1.300
11\40 507.692 553.846 4 3 1.333
41\149 507,216 556.701 15 11 1.363
30\109 507.042 557.746 11 8 1.375
49\178 506.897 558.620 18 13 1.385
19\69 506.6 560.000 7 5 1.400
46\167 506.422 561.468 17 12 1.416
27\98 506.250 562.500 10 7 1.428
35\127 506.024 563.855 13 9 1.444
8\29 505.263 568.421 3 2 1.500 L/s = 3/2
37\134 504.54 572.72 14 9 1.556
29\105 504.348 573.913 11 7 1.571
50\181 504.202 574.790 19 12 1.583
21\76 504.000 576.000 8 5 1.600
34\123 503.703 577.7 13 8 1.625 Unnamed golden tuning
47\170 503.571 578.571 18 11 1.636
13\47 503.226 580.645 5 3 1.667
44\159 502.857 582.857 17 10 1.700
31\112 502.702 583.783 12 7 1.714
49\177 502.563 584.615 19 11 1.727
18\65 502.326 586.047 7 4 1.750
41\148 502.041 587.755 16 9 1.778
23\83 501.81 589.09 9 5 1.800
28\101 501.493 591.045 11 6 1.833
5\18 500.000 600.000 2 1 2.000
27\97 498.462 609.231 11 5 2.200
22\79 498.113 611.321 9 4 2.250
39\140 497.872 612.766 16 7 2.286
17\61 497.651 614.512 7 3 2.333
46\165 497.297 616.216 19 8 2.375
29\104 497.143 617.143 12 5 2.400
41\147 496.96 618.18 17 7 2.429
12\43 496.552 620.690 5 2 2.500
43\154 496.154 623.077 18 7 2.571
31\111 496.000 624.000 13 5 2.600
50\179 495.868 624.793 21 8 2.625 Unnamed golden tuning
19\68 495.652 626.086 8 3 2.667
45\161 495.413 627.523 19 7 2.714
26\93 495.238 628.571 11 4 2.750
33\118 495.000 630.000 14 5 2.800
7\25 494.118 635.294 3 1 3.000 L/s = 3/1
30\107 493.151 641.096 13 4 3.250
23\82 492.857 642.857 10 3 3.333
39\139 492.631 644.211 17 5 3.400
16\57 492.308 646.154 7 2 3.500
41\146 492.000 648.000 18 5 3.600
25\89 491.803 649.180 11 3 3.667
34\121 491.566 650.601 15 4 3.750
9\32 490.90 654.54 4 1 4.000
29\103 490.141 659.155 13 3 4.333
20\71 489.796 661.224 9 2 4.500
31\110 489.474 663.158 14 3 4.667
11\39 488.8 666.6 5 1 5.000
24\85 488.136 671.186 11 2 6.500
13\46 487.500 675.000 6 1 6.000
15\53 486.486 681.081 7 1 7.000
2\7 480.000 720.000 1 0 → inf

See also

7L 4s (11/4-equivalent) - idealized low tuning, low undecimal tuning

7L 4s (14/5-equivalent) - low septimal tuning

7L 4s (20/7-equivalent) - idealized high tuning, high septimal tuning

7L 4s (32/11-equivalent) - high undecimal tuning

  1. ↑ Fractions which repeat in more than 3 digits in sexagesimal
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