User:Moremajorthanmajor/7L 4s (diminished twelfth-equivalent)
7L 4s<diminished twelfth> has a generator of a narrow wolf to wide wolf fourth of 458.182¢ (3/11ed7/5) to 538.776¢ (2/7ed11/7). Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.
Scale tree
| Generator | Cents | 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 | 509.091 | 545.455 | 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 | 506.667 | 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 | 504.545 | 572.727 | 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 | 503.704 | 577.778 | 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 | 502.703 | 583.784 | 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 | 501.818 | 589.081 | 9 | 5 | 1.800 | |
| 28\101 | 501.493 | 591.045 | 11 | 6 | 1.833 | |
| 5\18 | 500.000 | 600.000 | 2 | 1 | 2.000 | |
| 42\151 | 499.010 | 605.941 | 17 | 8 | 2.125 | |
| 37\133 | 498.876 | 606.742 | 15 | 7 | 2.143 | |
| 32\115 | 498.701 | 607.792 | 13 | 6 | 2.167 | |
| 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 | 496.970 | 618.182 | 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 | 490.909 | 654.545 | 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 | 488.889 | 666.667 | 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 (8/3-equivalent) - warped Pythagorean tuning
7L 4s (343/128-equivalent) - 1/2-comma Archytas tuning
7L 4s ([math]e[/math]-equivalent) - natural tuning
7L 4s (49/18-equivalent) - 1/3-comma Archytas tuning
7L 4s (11/4-equivalent) - idealized low tuning, low undecimal tuning
7L 4s (224/81-equivalent) - 1/6-comma Archytas tuning
7L 4s (14/5-equivalent) - low septimal tuning
7L 4s (1024/729-equivalent) - Pythagorean tuning
7L 4s (45/16-equivalent) - 1/6-comma meantone tuning
7L 4s (20/7-equivalent) - idealized high tuning, high septimal (meantone) tuning
7L 4s (72/25-equivalent) - 1/3-comma meantone tuning
7L 4s (32/11-equivalent) - high undecimal tuning
7L 4s (729/250-equivalent) - 1/2-comma meantone tuning
7L 4s (3/1-equivalent) - superelectric