User:Hkm/Sandbox: Difference between revisions
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! style="width: 25%;" | Octave stretch | ! style="width: 25%;" | Octave stretch | ||
|- | |- | ||
| 1 || | | 1 || 0.91 || 11.8 || +0.00 | ||
|- | |- | ||
| 2 || | | 2 || 1.88 || 12.4 || +0.05 | ||
|- | |- | ||
| 3 || | | 3 || 2.91 || 14.2 || -5.13 | ||
|- | |- | ||
| 4 || | | 4 || 3.97 || 13.2 || -0.01 | ||
|- | |- | ||
| 5 || 5. | | 5 || 5.12 || 14.8 || -0.00 | ||
|- | |- | ||
| 6 || 6. | | 6 || 6.00 || 14.3 || -0.22 | ||
|- | |- | ||
| 7 || | | 7 || 6.91 || 16.7 || -0.31 | ||
|- | |- | ||
| 8 || 8. | | 8 || 8.03 || 16.2 || -18.36 | ||
|- | |- | ||
| 9 || | | 9 || 9.03 || 18.0 || -0.12 | ||
|- | |- | ||
| 10 || 10. | | 10 || 10.03 || 20.1 || +0.27 | ||
|- | |- | ||
| 11 || 11. | | 11 || 11.00 || 16.2 || -2.52 | ||
|- | |- | ||
| 12 || | | 12 || 12.03 || 27.2 || -0.01 | ||
|- | |- | ||
| 13 || | | 13 || 12.88 || 17.9 || +0.43 | ||
|- | |- | ||
| 14 || 13.91 || | | 14 || 13.91 || 24.3 || +9.75 | ||
|- | |- | ||
| 15 || 15. | | 15 || 15.06 || 26.4 || -4.16 | ||
|- | |- | ||
| 16 || | | 16 || 15.91 || 24.0 || +0.14 | ||
|- | |- | ||
| 17 || 17. | | 17 || 17.06 || 28.7 || -2.47 | ||
|- | |- | ||
| 18 || 18. | | 18 || 18.12 || 23.2 || -8.80 | ||
|- | |- | ||
| 19 || | | 19 || 19.03 || 32.8 || +3.38 | ||
|- | |- | ||
| 20 || 19. | | 20 || 19.97 || 22.5 || +1.02 | ||
|- | |- | ||
| 21 || | | 21 || 20.97 || 26.5 || -0.73 | ||
|- | |- | ||
| 22 || 22. | | 22 || 22.09 || 34.0 || -1.50 | ||
|- | |- | ||
| 23 || 22. | | 23 || 22.88 || 25.2 || +8.60 | ||
|- | |- | ||
| 24 || 24.00 || | | 24 || 24.00 || 33.9 || +0.03 | ||
|- | |- | ||
| 25 || 25. | | 25 || 25.03 || 26.0 || +0.69 | ||
|- | |- | ||
| 26 || 25.94 || | | 26 || 25.94 || 34.4 || +2.77 | ||
|- | |- | ||
| 27 || 27.12 || | | 27 || 27.12 || 36.2 || -4.24 | ||
|- | |- | ||
| 28 || 27. | | 28 || 27.88 || 27.4 || +7.01 | ||
|- | |- | ||
| 29 || 28.94 || | | 29 || 28.94 || 35.5 || +3.21 | ||
|- | |- | ||
| 30 || 30. | | 30 || 30.06 || 27.5 || -2.51 | ||
|- | |- | ||
| 31 || 31.00 || | | 31 || 31.00 || 40.2 || +0.33 | ||
|- | |- | ||
| 32 || 32. | | 32 || 32.03 || 31.8 || -2.37 | ||
|- | |- | ||
| 33 || 32.88 || | | 33 || 32.88 || 29.6 || +4.40 | ||
|- | |- | ||
| 34 || 34. | | 34 || 34.03 || 39.6 || -1.75 | ||
|- | |- | ||
| 35 || 34.94 || | | 35 || 34.94 || 32.0 || +2.81 | ||
|- | |- | ||
| 36 || 36. | | 36 || 36.03 || 37.3 || +0.29 | ||
|- | |- | ||
| 37 || 37.06 || | | 37 || 37.06 || 35.9 || -1.00 | ||
|- | |- | ||
| 38 || 37. | | 38 || 37.88 || 38.1 || +3.88 | ||
|- | |- | ||
| 39 || 39. | | 39 || 39.06 || 38.3 || -3.89 | ||
|- | |- | ||
| 40 || 39. | | 40 || 39.94 || 33.6 || +1.23 | ||
|- | |- | ||
| 41 || 41.00 || | | 41 || 41.00 || 42.7 || +0.14 | ||
|- | |- | ||
| 42 || 42.12 || | | 42 || 42.12 || 34.4 || -4.29 | ||
|- | |- | ||
| 43 || 43. | | 43 || 43.09 || 39.9 || -1.04 | ||
|- | |- | ||
| 44 || 44.00 || | | 44 || 44.00 || 36.5 || -0.76 | ||
|- | |- | ||
| 45 || 44.88 || | | 45 || 44.88 || 38.4 || +4.01 | ||
|- | |- | ||
| 46 || | | 46 || 46.00 || 42.9 || +0.14 | ||
|- | |- | ||
| 47 || 46.91 || | | 47 || 46.91 || 33.3 || +1.42 | ||
|- | |- | ||
| 48 || | | 48 || 47.97 || 38.4 || +0.35 | ||
|- | |- | ||
| 49 || 49.12 || | | 49 || 49.12 || 40.1 || -3.48 | ||
|- | |- | ||
| 50 || 49.94 || | | 50 || 49.94 || 41.6 || +1.41 | ||
|- | |- | ||
| 51 || 51. | | 51 || 51.06 || 37.5 || -2.05 | ||
|- | |- | ||
| 52 || 51. | | 52 || 51.91 || 34.1 || +0.50 | ||
|- | |- | ||
| 53 || 53.00 || | | 53 || 53.00 || 44.1 || +0.08 | ||
|- | |- | ||
| 54 || 54. | | 54 || 54.06 || 36.9 || -2.68 | ||
|- | |- | ||
| 55 || 54. | | 55 || 54.88 || 38.6 || +2.81 | ||
|- | |- | ||
| 56 || | | 56 || 55.94 || 40.8 || -0.07 | ||
|- | |- | ||
| 57 || 56.94 || | | 57 || 56.94 || 39.3 || +0.72 | ||
|- | |- | ||
| 58 || 58. | | 58 || 58.09 || 43.5 || -1.55 | ||
|- | |- | ||
| 59 || 59.09 || | | 59 || 59.09 || 35.6 || -1.95 | ||
|- | |- | ||
| 60 || 59. | | 60 || 59.97 || 42.6 || +1.54 | ||
|- | |- | ||
| 61 || 61. | | 61 || 61.12 || 38.5 || -2.54 | ||
|- | |- | ||
| 62 || 61. | | 62 || 61.97 || 42.0 || +1.42 | ||
|- | |- | ||
| 63 || 63. | | 63 || 63.03 || 42.2 || -0.33 | ||
|- | |- | ||
| 64 || 63.88 || | | 64 || 63.88 || 38.8 || +3.49 | ||
|- | |- | ||
| 65 || 65. | | 65 || 65.06 || 43.2 || -0.56 | ||
|- | |- | ||
| 66 || 66.12 || | | 66 || 66.12 || 37.8 || -3.38 | ||
|- | |- | ||
| 67 || 67.09 || | | 67 || 67.09 || 40.0 || -0.37 | ||
|- | |- | ||
| 68 || 68. | | 68 || 68.06 || 43.4 || -0.79 | ||
|- | |- | ||
| 69 || 68.91 || | | 69 || 68.91 || 39.5 || +1.86 | ||
|- | |- | ||
| 70 || 70. | | 70 || 70.09 || 40.6 || -0.63 | ||
|- | |- | ||
| 71 || 71. | | 71 || 71.12 || 38.6 || -2.08 | ||
|- | |- | ||
| 72 || 71. | | 72 || 71.97 || 45.0 || +0.71 | ||
|- | |- | ||
| 73 || 73.12 || | | 73 || 73.12 || 40.6 || -2.32 | ||
|- | |- | ||
| 74 || 74.00 || | | 74 || 74.00 || 40.1 || -0.00 | ||
|- | |- | ||
| 75 || 75. | | 75 || 75.09 || 41.7 || -1.46 | ||
|- | |- | ||
| 76 || 75. | | 76 || 75.88 || 39.4 || +2.03 | ||
|- | |- | ||
| 77 || | | 77 || 76.97 || 44.0 || +0.21 | ||
|- | |- | ||
| 78 || 78.09 || | | 78 || 78.09 || 40.8 || -0.80 | ||
|- | |- | ||
| 79 || 78. | | 79 || 78.91 || 41.3 || +1.19 | ||
|- | |- | ||
| 80 || 80. | | 80 || 80.09 || 43.9 || -1.02 | ||
|- | |- | ||
| 81 || 80.88 || | | 81 || 80.88 || 41.2 || +1.28 | ||
|- | |- | ||
| 82 || | | 82 || 82.00 || 42.3 || +0.57 | ||
|- | |- | ||
| 83 || 83.12 || | | 83 || 83.12 || 39.3 || -2.12 | ||
|- | |- | ||
| 84 || 84.03 || | | 84 || 84.03 || 43.6 || -0.05 | ||
|- | |- | ||
| 85 || 85.12 || | | 85 || 85.12 || 40.8 || -1.89 | ||
|- | |- | ||
| 86 || 85.88 || | | 86 || 85.88 || 41.2 || +1.99 | ||
|- | |- | ||
| 87 || 87. | | 87 || 87.00 || 44.3 || -0.26 | ||
|- | |- | ||
| 88 || 87. | | 88 || 87.91 || 40.2 || +1.70 | ||
|- | |- | ||
| 89 || 89. | | 89 || 89.03 || 43.2 || -0.33 | ||
|- | |- | ||
| 90 || 90.06 || | | 90 || 90.06 || 41.2 || -1.07 | ||
|- | |- | ||
| 91 || 90.88 || | | 91 || 90.88 || 42.6 || +1.97 | ||
|- | |- | ||
| 92 || 92. | | 92 || 92.00 || 42.0 || +0.00 | ||
|- | |- | ||
| 93 || | | 93 || 92.88 || 40.9 || +0.86 | ||
|- | |- | ||
| 94 || 94. | | 94 || 94.03 || 44.3 || +0.15 | ||
|- | |- | ||
| 95 || 95.09 || | | 95 || 95.09 || 42.1 || -1.55 | ||
|- | |- | ||
| 96 || 95.94 || | | 96 || 95.94 || 43.0 || +0.65 | ||
|- | |- | ||
| 97 || 97.00 || | | 97 || 97.00 || 40.9 || -0.03 | ||
|- | |- | ||
| 98 || 97. | | 98 || 97.91 || 41.5 || +1.25 | ||
|- | |- | ||
| 99 || 99. | | 99 || 99.06 || 44.2 || -0.71 | ||
|- | |- | ||
| 100 || 99.91 || | | 100 || 99.91 || 41.2 || +1.41 | ||
|- | |- | ||
| 101 || 100. | | 101 || 100.91 || 42.0 || +1.52 | ||
|- | |- | ||
| 102 || 102. | | 102 || 102.09 || 42.1 || -1.33 | ||
|- | |- | ||
| 103 || 102. | | 103 || 102.94 || 44.2 || +0.75 | ||
|- | |- | ||
| 104 || 104.06 || | | 104 || 104.06 || 42.9 || -0.73 | ||
|- | |- | ||
| 105 || 104. | | 105 || 104.94 || 40.1 || +0.39 | ||
|- | |- | ||
| 106 || 106. | | 106 || 106.00 || 43.1 || +0.09 | ||
|- | |- | ||
| 107 || 107.12 || | | 107 || 107.12 || 40.9 || -1.88 | ||
|- | |- | ||
| 108 || 108. | | 108 || 108.00 || 42.1 || -0.13 | ||
|- | |- | ||
| 109 || 109.03 || | | 109 || 109.03 || 43.0 || -0.03 | ||
|- | |- | ||
| 110 || 109.88 || | | 110 || 109.88 || 41.5 || +1.48 | ||
|- | |- | ||
| 111 || 111. | | 111 || 111.00 || 44.1 || -0.61 | ||
|- | |- | ||
| 112 || 111.91 || | | 112 || 111.91 || 41.1 || +1.43 | ||
|- | |- | ||
| 113 || | | 113 || 112.97 || 43.8 || +0.39 | ||
|- | |- | ||
| 114 || 114. | | 114 || 114.12 || 42.4 || -0.88 | ||
|- | |- | ||
| 115 || 114. | | 115 || 114.97 || 42.3 || +0.28 | ||
|- | |- | ||
| 116 || | | 116 || 116.09 || 42.1 || -1.34 | ||
|- | |- | ||
| 117 || | | 117 || 116.88 || 40.5 || +1.62 | ||
|- | |- | ||
| 118 || | | 118 || 117.97 || 44.3 || +0.20 | ||
|- | |- | ||
| 119 || 119.12 || | | 119 || 119.12 || 40.7 || -1.35 | ||
|- | |- | ||
| 120 || 120. | | 120 || 120.09 || 42.5 || -0.19 | ||
|- | |- | ||
| 121 || 121.09 || | | 121 || 121.09 || 44.1 || -0.74 | ||
|- | |- | ||
| 122 || 121. | | 122 || 121.91 || 42.6 || +1.17 | ||
|- | |- | ||
| 123 || | | 123 || 123.09 || 42.2 || -0.88 | ||
|- | |- | ||
| 124 || 124.12 || | | 124 || 124.12 || 41.4 || -0.39 | ||
|- | |- | ||
| 125 || 124. | | 125 || 124.94 || 43.8 || +0.54 | ||
|- | |- | ||
| 126 || 126.12 || | | 126 || 126.12 || 42.4 || -1.35 | ||
|- | |- | ||
| 127 || 126.91 || | | 127 || 126.91 || 42.2 || +0.62 | ||
|- | |- | ||
| 128 || 127.97 || | | 128 || 127.97 || 43.0 || -0.03 | ||
|- | |- | ||
| 129 || 128. | | 129 || 128.91 || 41.4 || +0.94 | ||
|- | |- | ||
| 130 || 130.00 || | | 130 || 130.00 || 44.2 || -0.00 | ||
|- | |- | ||
| 131 || 131. | | 131 || 131.03 || 41.7 || -0.59 | ||
|- | |- | ||
| 132 || 131. | | 132 || 131.94 || 42.9 || +1.23 | ||
|- | |- | ||
| 133 || 133.06 || | | 133 || 133.06 || 42.9 || -0.50 | ||
|- | |- | ||
| 134 || 133. | | 134 || 133.91 || 42.4 || +0.73 | ||
|- | |- | ||
| 135 || 135. | | 135 || 135.12 || 42.9 || -0.39 | ||
|- | |- | ||
| 136 || 136. | | 136 || 136.12 || 42.1 || -0.97 | ||
|- | |- | ||
| 137 || 137.03 || | | 137 || 137.03 || 43.5 || -0.06 | ||
|- | |- | ||
| 138 || 138. | | 138 || 138.09 || 42.4 || -1.25 | ||
|- | |- | ||
| 139 || | | 139 || 139.00 || 41.9 || +0.31 | ||
|- | |- | ||
| 140 || | | 140 || 139.97 || 43.9 || +0.12 | ||
|} | |} |
Revision as of 23:48, 7 August 2025
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Sadbox
Practicality
3 Wedgies
5 TE
5 Otonality and utonality (what are the musical implications?)
2 Balanced word
2 43ed2
3 31ed2 (beginner-friendliness)
Writing
5 Intro to Xenharmonics (can be supplemented with user:hkm/Intro_page)
4 Concordance
2 29ed2 (needs a clearer focus on essentially tempered chords in the 2.3.7/5.11/5.13/5 subgroup, less focus on temperaments of 29edo, and less trivia)
4 Periodicity block
3 FAQ
Criticality
1 Oodako
1 Trug
1 Oviminor
2 A bunch of stub pages
Naming
1 1025/1024
Design
2 Ploidacot (why the number names?)
Formatting
2 Practically all edo pages <50 (algorithmically generated material, like GPVs and sagittal notations, should be moved to the GPV and sagittal pages, for example. The interval table gets to stay though)
Badness
EDO | GPV | Goodness | Octave stretch |
---|---|---|---|
1 | 0.91 | 11.8 | +0.00 |
2 | 1.88 | 12.4 | +0.05 |
3 | 2.91 | 14.2 | -5.13 |
4 | 3.97 | 13.2 | -0.01 |
5 | 5.12 | 14.8 | -0.00 |
6 | 6.00 | 14.3 | -0.22 |
7 | 6.91 | 16.7 | -0.31 |
8 | 8.03 | 16.2 | -18.36 |
9 | 9.03 | 18.0 | -0.12 |
10 | 10.03 | 20.1 | +0.27 |
11 | 11.00 | 16.2 | -2.52 |
12 | 12.03 | 27.2 | -0.01 |
13 | 12.88 | 17.9 | +0.43 |
14 | 13.91 | 24.3 | +9.75 |
15 | 15.06 | 26.4 | -4.16 |
16 | 15.91 | 24.0 | +0.14 |
17 | 17.06 | 28.7 | -2.47 |
18 | 18.12 | 23.2 | -8.80 |
19 | 19.03 | 32.8 | +3.38 |
20 | 19.97 | 22.5 | +1.02 |
21 | 20.97 | 26.5 | -0.73 |
22 | 22.09 | 34.0 | -1.50 |
23 | 22.88 | 25.2 | +8.60 |
24 | 24.00 | 33.9 | +0.03 |
25 | 25.03 | 26.0 | +0.69 |
26 | 25.94 | 34.4 | +2.77 |
27 | 27.12 | 36.2 | -4.24 |
28 | 27.88 | 27.4 | +7.01 |
29 | 28.94 | 35.5 | +3.21 |
30 | 30.06 | 27.5 | -2.51 |
31 | 31.00 | 40.2 | +0.33 |
32 | 32.03 | 31.8 | -2.37 |
33 | 32.88 | 29.6 | +4.40 |
34 | 34.03 | 39.6 | -1.75 |
35 | 34.94 | 32.0 | +2.81 |
36 | 36.03 | 37.3 | +0.29 |
37 | 37.06 | 35.9 | -1.00 |
38 | 37.88 | 38.1 | +3.88 |
39 | 39.06 | 38.3 | -3.89 |
40 | 39.94 | 33.6 | +1.23 |
41 | 41.00 | 42.7 | +0.14 |
42 | 42.12 | 34.4 | -4.29 |
43 | 43.09 | 39.9 | -1.04 |
44 | 44.00 | 36.5 | -0.76 |
45 | 44.88 | 38.4 | +4.01 |
46 | 46.00 | 42.9 | +0.14 |
47 | 46.91 | 33.3 | +1.42 |
48 | 47.97 | 38.4 | +0.35 |
49 | 49.12 | 40.1 | -3.48 |
50 | 49.94 | 41.6 | +1.41 |
51 | 51.06 | 37.5 | -2.05 |
52 | 51.91 | 34.1 | +0.50 |
53 | 53.00 | 44.1 | +0.08 |
54 | 54.06 | 36.9 | -2.68 |
55 | 54.88 | 38.6 | +2.81 |
56 | 55.94 | 40.8 | -0.07 |
57 | 56.94 | 39.3 | +0.72 |
58 | 58.09 | 43.5 | -1.55 |
59 | 59.09 | 35.6 | -1.95 |
60 | 59.97 | 42.6 | +1.54 |
61 | 61.12 | 38.5 | -2.54 |
62 | 61.97 | 42.0 | +1.42 |
63 | 63.03 | 42.2 | -0.33 |
64 | 63.88 | 38.8 | +3.49 |
65 | 65.06 | 43.2 | -0.56 |
66 | 66.12 | 37.8 | -3.38 |
67 | 67.09 | 40.0 | -0.37 |
68 | 68.06 | 43.4 | -0.79 |
69 | 68.91 | 39.5 | +1.86 |
70 | 70.09 | 40.6 | -0.63 |
71 | 71.12 | 38.6 | -2.08 |
72 | 71.97 | 45.0 | +0.71 |
73 | 73.12 | 40.6 | -2.32 |
74 | 74.00 | 40.1 | -0.00 |
75 | 75.09 | 41.7 | -1.46 |
76 | 75.88 | 39.4 | +2.03 |
77 | 76.97 | 44.0 | +0.21 |
78 | 78.09 | 40.8 | -0.80 |
79 | 78.91 | 41.3 | +1.19 |
80 | 80.09 | 43.9 | -1.02 |
81 | 80.88 | 41.2 | +1.28 |
82 | 82.00 | 42.3 | +0.57 |
83 | 83.12 | 39.3 | -2.12 |
84 | 84.03 | 43.6 | -0.05 |
85 | 85.12 | 40.8 | -1.89 |
86 | 85.88 | 41.2 | +1.99 |
87 | 87.00 | 44.3 | -0.26 |
88 | 87.91 | 40.2 | +1.70 |
89 | 89.03 | 43.2 | -0.33 |
90 | 90.06 | 41.2 | -1.07 |
91 | 90.88 | 42.6 | +1.97 |
92 | 92.00 | 42.0 | +0.00 |
93 | 92.88 | 40.9 | +0.86 |
94 | 94.03 | 44.3 | +0.15 |
95 | 95.09 | 42.1 | -1.55 |
96 | 95.94 | 43.0 | +0.65 |
97 | 97.00 | 40.9 | -0.03 |
98 | 97.91 | 41.5 | +1.25 |
99 | 99.06 | 44.2 | -0.71 |
100 | 99.91 | 41.2 | +1.41 |
101 | 100.91 | 42.0 | +1.52 |
102 | 102.09 | 42.1 | -1.33 |
103 | 102.94 | 44.2 | +0.75 |
104 | 104.06 | 42.9 | -0.73 |
105 | 104.94 | 40.1 | +0.39 |
106 | 106.00 | 43.1 | +0.09 |
107 | 107.12 | 40.9 | -1.88 |
108 | 108.00 | 42.1 | -0.13 |
109 | 109.03 | 43.0 | -0.03 |
110 | 109.88 | 41.5 | +1.48 |
111 | 111.00 | 44.1 | -0.61 |
112 | 111.91 | 41.1 | +1.43 |
113 | 112.97 | 43.8 | +0.39 |
114 | 114.12 | 42.4 | -0.88 |
115 | 114.97 | 42.3 | +0.28 |
116 | 116.09 | 42.1 | -1.34 |
117 | 116.88 | 40.5 | +1.62 |
118 | 117.97 | 44.3 | +0.20 |
119 | 119.12 | 40.7 | -1.35 |
120 | 120.09 | 42.5 | -0.19 |
121 | 121.09 | 44.1 | -0.74 |
122 | 121.91 | 42.6 | +1.17 |
123 | 123.09 | 42.2 | -0.88 |
124 | 124.12 | 41.4 | -0.39 |
125 | 124.94 | 43.8 | +0.54 |
126 | 126.12 | 42.4 | -1.35 |
127 | 126.91 | 42.2 | +0.62 |
128 | 127.97 | 43.0 | -0.03 |
129 | 128.91 | 41.4 | +0.94 |
130 | 130.00 | 44.2 | -0.00 |
131 | 131.03 | 41.7 | -0.59 |
132 | 131.94 | 42.9 | +1.23 |
133 | 133.06 | 42.9 | -0.50 |
134 | 133.91 | 42.4 | +0.73 |
135 | 135.12 | 42.9 | -0.39 |
136 | 136.12 | 42.1 | -0.97 |
137 | 137.03 | 43.5 | -0.06 |
138 | 138.09 | 42.4 | -1.25 |
139 | 139.00 | 41.9 | +0.31 |
140 | 139.97 | 43.9 | +0.12 |