User:Ganaram inukshuk/Template sandbox: Difference between revisions

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Template testing
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{{User:Ganaram inukshuk/Template:Mbox|text=[[File:Icon-Stub.png|60px]]This is a beginner page. It is written to allow new readers to learn about the basics of the topic easily.


The corresponding expert page for this topic is Mathematical theory of regular temperaments.}}






 
==Scale tree testing==
==Jirined testing==
{{Scale tree|5L 2s|depth=7}}{{Scale tree|5L 2s|depth=6}}{{Scale tree|5L 2s}}
{{JI ratios in ED|ED=12|Subgroup=2.3.5.7.17.19|Tenney Height=8}}
 
{{JI ratios in ED|ED=5|Prime Limit=5}}
 
{{JI ratios in ED|ED=13edt|Subgroup=3.5.7|Tenney Height=11.5}}
 
{{JI ratios in ED|ED=7edf}}
 
==Table of 22edo intervals==
{{JI ratios in ED|ED=22|Subgroup=2.3.5.7.11.17|Integer Limit=72|Tenney Height=10|Threshold=.35}}
 
==Table of 19edo intervals==
{{JI ratios in ED|ED=19|Subgroup=2.3.5.7.13|Integer Limit=50|Tenney Height=8|Threshold=.35}}
 
==Table of 103edo intervals==
==Table of 167edo intervals==

Revision as of 18:37, 20 May 2024



Scale tree testing

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 5L 2s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
4\7 685.714 514.286 1:1 1.000 Equalized 5L 2s
31\54 688.889 511.111 8:7 1.143
27\47 689.362 510.638 7:6 1.167
50\87 689.655 510.345 13:11 1.182
23\40 690.000 510.000 6:5 1.200
65\113 690.265 509.735 17:14 1.214
42\73 690.411 509.589 11:9 1.222
61\106 690.566 509.434 16:13 1.231
19\33 690.909 509.091 5:4 1.250
72\125 691.200 508.800 19:15 1.267
53\92 691.304 508.696 14:11 1.273
87\151 691.391 508.609 23:18 1.278
34\59 691.525 508.475 9:7 1.286
83\144 691.667 508.333 22:17 1.294
49\85 691.765 508.235 13:10 1.300
64\111 691.892 508.108 17:13 1.308
15\26 692.308 507.692 4:3 1.333 Supersoft 5L 2s
71\123 692.683 507.317 19:14 1.357
56\97 692.784 507.216 15:11 1.364
97\168 692.857 507.143 26:19 1.368
41\71 692.958 507.042 11:8 1.375
108\187 693.048 506.952 29:21 1.381
67\116 693.103 506.897 18:13 1.385
93\161 693.168 506.832 25:18 1.389
26\45 693.333 506.667 7:5 1.400
89\154 693.506 506.494 24:17 1.412
63\109 693.578 506.422 17:12 1.417
100\173 693.642 506.358 27:19 1.421
37\64 693.750 506.250 10:7 1.429
85\147 693.878 506.122 23:16 1.438
48\83 693.976 506.024 13:9 1.444
59\102 694.118 505.882 16:11 1.455
11\19 694.737 505.263 3:2 1.500 Soft 5L 2s
62\107 695.327 504.673 17:11 1.545
51\88 695.455 504.545 14:9 1.556
91\157 695.541 504.459 25:16 1.562
40\69 695.652 504.348 11:7 1.571
109\188 695.745 504.255 30:19 1.579
69\119 695.798 504.202 19:12 1.583
98\169 695.858 504.142 27:17 1.588
29\50 696.000 504.000 8:5 1.600
105\181 696.133 503.867 29:18 1.611
76\131 696.183 503.817 21:13 1.615
123\212 696.226 503.774 34:21 1.619
47\81 696.296 503.704 13:8 1.625
112\193 696.373 503.627 31:19 1.632
65\112 696.429 503.571 18:11 1.636
83\143 696.503 503.497 23:14 1.643
18\31 696.774 503.226 5:3 1.667 Semisoft 5L 2s
79\136 697.059 502.941 22:13 1.692
61\105 697.143 502.857 17:10 1.700
104\179 697.207 502.793 29:17 1.706
43\74 697.297 502.703 12:7 1.714
111\191 697.382 502.618 31:18 1.722
68\117 697.436 502.564 19:11 1.727
93\160 697.500 502.500 26:15 1.733
25\43 697.674 502.326 7:4 1.750
82\141 697.872 502.128 23:13 1.769
57\98 697.959 502.041 16:9 1.778
89\153 698.039 501.961 25:14 1.786
32\55 698.182 501.818 9:5 1.800
71\122 698.361 501.639 20:11 1.818
39\67 698.507 501.493 11:6 1.833
46\79 698.734 501.266 13:7 1.857
7\12 700.000 500.000 2:1 2.000 Basic 5L 2s
Scales with tunings softer than this are proper
45\77 701.299 498.701 13:6 2.167
38\65 701.538 498.462 11:5 2.200
69\118 701.695 498.305 20:9 2.222
31\53 701.887 498.113 9:4 2.250
86\147 702.041 497.959 25:11 2.273
55\94 702.128 497.872 16:7 2.286
79\135 702.222 497.778 23:10 2.300
24\41 702.439 497.561 7:3 2.333
89\152 702.632 497.368 26:11 2.364
65\111 702.703 497.297 19:8 2.375
106\181 702.762 497.238 31:13 2.385
41\70 702.857 497.143 12:5 2.400
99\169 702.959 497.041 29:12 2.417
58\99 703.030 496.970 17:7 2.429
75\128 703.125 496.875 22:9 2.444
17\29 703.448 496.552 5:2 2.500 Semihard 5L 2s
78\133 703.759 496.241 23:9 2.556
61\104 703.846 496.154 18:7 2.571
105\179 703.911 496.089 31:12 2.583
44\75 704.000 496.000 13:5 2.600
115\196 704.082 495.918 34:13 2.615
71\121 704.132 495.868 21:8 2.625
98\167 704.192 495.808 29:11 2.636
27\46 704.348 495.652 8:3 2.667
91\155 704.516 495.484 27:10 2.700
64\109 704.587 495.413 19:7 2.714
101\172 704.651 495.349 30:11 2.727
37\63 704.762 495.238 11:4 2.750
84\143 704.895 495.105 25:9 2.778
47\80 705.000 495.000 14:5 2.800
57\97 705.155 494.845 17:6 2.833
10\17 705.882 494.118 3:1 3.000 Hard 5L 2s
53\90 706.667 493.333 16:5 3.200
43\73 706.849 493.151 13:4 3.250
76\129 706.977 493.023 23:7 3.286
33\56 707.143 492.857 10:3 3.333
89\151 707.285 492.715 27:8 3.375
56\95 707.368 492.632 17:5 3.400
79\134 707.463 492.537 24:7 3.429
23\39 707.692 492.308 7:2 3.500
82\139 707.914 492.086 25:7 3.571
59\100 708.000 492.000 18:5 3.600
95\161 708.075 491.925 29:8 3.625
36\61 708.197 491.803 11:3 3.667
85\144 708.333 491.667 26:7 3.714
49\83 708.434 491.566 15:4 3.750
62\105 708.571 491.429 19:5 3.800
13\22 709.091 490.909 4:1 4.000 Superhard 5L 2s
55\93 709.677 490.323 17:4 4.250
42\71 709.859 490.141 13:3 4.333
71\120 710.000 490.000 22:5 4.400
29\49 710.204 489.796 9:2 4.500
74\125 710.400 489.600 23:5 4.600
45\76 710.526 489.474 14:3 4.667
61\103 710.680 489.320 19:4 4.750
16\27 711.111 488.889 5:1 5.000
51\86 711.628 488.372 16:3 5.333
35\59 711.864 488.136 11:2 5.500
54\91 712.088 487.912 17:3 5.667
19\32 712.500 487.500 6:1 6.000
41\69 713.043 486.957 13:2 6.500
22\37 713.514 486.486 7:1 7.000
25\42 714.286 485.714 8:1 8.000
3\5 720.000 480.000 1:0 → ∞ Collapsed 5L 2s
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 5L 2s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
4\7 685.714 514.286 1:1 1.000 Equalized 5L 2s
27\47 689.362 510.638 7:6 1.167
23\40 690.000 510.000 6:5 1.200
42\73 690.411 509.589 11:9 1.222
19\33 690.909 509.091 5:4 1.250
53\92 691.304 508.696 14:11 1.273
34\59 691.525 508.475 9:7 1.286
49\85 691.765 508.235 13:10 1.300
15\26 692.308 507.692 4:3 1.333 Supersoft 5L 2s
56\97 692.784 507.216 15:11 1.364
41\71 692.958 507.042 11:8 1.375
67\116 693.103 506.897 18:13 1.385
26\45 693.333 506.667 7:5 1.400
63\109 693.578 506.422 17:12 1.417
37\64 693.750 506.250 10:7 1.429
48\83 693.976 506.024 13:9 1.444
11\19 694.737 505.263 3:2 1.500 Soft 5L 2s
51\88 695.455 504.545 14:9 1.556
40\69 695.652 504.348 11:7 1.571
69\119 695.798 504.202 19:12 1.583
29\50 696.000 504.000 8:5 1.600
76\131 696.183 503.817 21:13 1.615
47\81 696.296 503.704 13:8 1.625
65\112 696.429 503.571 18:11 1.636
18\31 696.774 503.226 5:3 1.667 Semisoft 5L 2s
61\105 697.143 502.857 17:10 1.700
43\74 697.297 502.703 12:7 1.714
68\117 697.436 502.564 19:11 1.727
25\43 697.674 502.326 7:4 1.750
57\98 697.959 502.041 16:9 1.778
32\55 698.182 501.818 9:5 1.800
39\67 698.507 501.493 11:6 1.833
7\12 700.000 500.000 2:1 2.000 Basic 5L 2s
Scales with tunings softer than this are proper
38\65 701.538 498.462 11:5 2.200
31\53 701.887 498.113 9:4 2.250
55\94 702.128 497.872 16:7 2.286
24\41 702.439 497.561 7:3 2.333
65\111 702.703 497.297 19:8 2.375
41\70 702.857 497.143 12:5 2.400
58\99 703.030 496.970 17:7 2.429
17\29 703.448 496.552 5:2 2.500 Semihard 5L 2s
61\104 703.846 496.154 18:7 2.571
44\75 704.000 496.000 13:5 2.600
71\121 704.132 495.868 21:8 2.625
27\46 704.348 495.652 8:3 2.667
64\109 704.587 495.413 19:7 2.714
37\63 704.762 495.238 11:4 2.750
47\80 705.000 495.000 14:5 2.800
10\17 705.882 494.118 3:1 3.000 Hard 5L 2s
43\73 706.849 493.151 13:4 3.250
33\56 707.143 492.857 10:3 3.333
56\95 707.368 492.632 17:5 3.400
23\39 707.692 492.308 7:2 3.500
59\100 708.000 492.000 18:5 3.600
36\61 708.197 491.803 11:3 3.667
49\83 708.434 491.566 15:4 3.750
13\22 709.091 490.909 4:1 4.000 Superhard 5L 2s
42\71 709.859 490.141 13:3 4.333
29\49 710.204 489.796 9:2 4.500
45\76 710.526 489.474 14:3 4.667
16\27 711.111 488.889 5:1 5.000
35\59 711.864 488.136 11:2 5.500
19\32 712.500 487.500 6:1 6.000
22\37 713.514 486.486 7:1 7.000
3\5 720.000 480.000 1:0 → ∞ Collapsed 5L 2s
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 5L 2s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
4\7 685.714 514.286 1:1 1.000 Equalized 5L 2s
23\40 690.000 510.000 6:5 1.200
19\33 690.909 509.091 5:4 1.250
34\59 691.525 508.475 9:7 1.286
15\26 692.308 507.692 4:3 1.333 Supersoft 5L 2s
41\71 692.958 507.042 11:8 1.375
26\45 693.333 506.667 7:5 1.400
37\64 693.750 506.250 10:7 1.429
11\19 694.737 505.263 3:2 1.500 Soft 5L 2s
40\69 695.652 504.348 11:7 1.571
29\50 696.000 504.000 8:5 1.600
47\81 696.296 503.704 13:8 1.625
18\31 696.774 503.226 5:3 1.667 Semisoft 5L 2s
43\74 697.297 502.703 12:7 1.714
25\43 697.674 502.326 7:4 1.750
32\55 698.182 501.818 9:5 1.800
7\12 700.000 500.000 2:1 2.000 Basic 5L 2s
Scales with tunings softer than this are proper
31\53 701.887 498.113 9:4 2.250
24\41 702.439 497.561 7:3 2.333
41\70 702.857 497.143 12:5 2.400
17\29 703.448 496.552 5:2 2.500 Semihard 5L 2s
44\75 704.000 496.000 13:5 2.600
27\46 704.348 495.652 8:3 2.667
37\63 704.762 495.238 11:4 2.750
10\17 705.882 494.118 3:1 3.000 Hard 5L 2s
33\56 707.143 492.857 10:3 3.333
23\39 707.692 492.308 7:2 3.500
36\61 708.197 491.803 11:3 3.667
13\22 709.091 490.909 4:1 4.000 Superhard 5L 2s
29\49 710.204 489.796 9:2 4.500
16\27 711.111 488.889 5:1 5.000
19\32 712.500 487.500 6:1 6.000
3\5 720.000 480.000 1:0 → ∞ Collapsed 5L 2s
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