User:Hkm/Sandbox: Difference between revisions
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== Badness == | == Badness == | ||
{| class="wikitable sortable" style="text-align: right;" | |||
|+ Temperament Rankings | |||
! style="width: 25%;" | EDO | |||
! style="width: 25%;" | GPV | |||
! style="width: 25%;" | Goodness | |||
! style="width: 25%;" | Octave stretch | |||
|- | |||
| 1 || 1.06 || 10.8 || +0.00 | |||
|- | |||
| 2 || 2.03 || 10.6 || +0.00 | |||
|- | |||
| 3 || 3.12 || 13.5 || -0.03 | |||
|- | |||
| 4 || 4.03 || 12.1 || +0.01 | |||
|- | |||
| 5 || 5.06 || 13.7 || +0.11 | |||
|- | |||
| 6 || 6.03 || 12.6 || -0.47 | |||
|- | |||
| 7 || 7.03 || 14.1 || +10.58 | |||
|- | |||
| 8 || 8.12 || 14.4 || -0.09 | |||
|- | |||
| 9 || 8.97 || 15.9 || -0.10 | |||
|- | |||
| 10 || 10.12 || 17.3 || +0.19 | |||
|- | |||
| 11 || 11.03 || 17.4 || -0.17 | |||
|- | |||
| 12 || 11.97 || 24.9 || +0.49 | |||
|- | |||
| 13 || 13.03 || 15.2 || +0.00 | |||
|- | |||
| 14 || 13.91 || 21.1 || +9.93 | |||
|- | |||
| 15 || 15.12 || 22.6 || -3.43 | |||
|- | |||
| 16 || 16.00 || 20.2 || +4.52 | |||
|- | |||
| 17 || 17.12 || 26.2 || -2.36 | |||
|- | |||
| 18 || 18.09 || 19.7 || -8.70 | |||
|- | |||
| 19 || 18.97 || 29.5 || +3.64 | |||
|- | |||
| 20 || 19.94 || 19.9 || +2.01 | |||
|- | |||
| 21 || 21.00 || 23.1 || -0.71 | |||
|- | |||
| 22 || 22.06 || 30.3 || -1.04 | |||
|- | |||
| 23 || 22.91 || 21.5 || +9.07 | |||
|- | |||
| 24 || 24.00 || 30.7 || +0.13 | |||
|- | |||
| 25 || 25.06 || 23.7 || +0.87 | |||
|- | |||
| 26 || 25.94 || 30.6 || +3.03 | |||
|- | |||
| 27 || 27.12 || 32.8 || -4.21 | |||
|- | |||
| 28 || 27.94 || 24.3 || +0.04 | |||
|- | |||
| 29 || 28.94 || 31.8 || +3.28 | |||
|- | |||
| 30 || 30.03 || 24.0 || -2.72 | |||
|- | |||
| 31 || 31.00 || 37.4 || +0.36 | |||
|- | |||
| 32 || 32.06 || 28.1 || -2.29 | |||
|- | |||
| 33 || 32.88 || 26.1 || +4.29 | |||
|- | |||
| 34 || 34.06 || 36.7 || -1.67 | |||
|- | |||
| 35 || 34.94 || 28.8 || +2.80 | |||
|- | |||
| 36 || 36.00 || 34.4 || +0.45 | |||
|- | |||
| 37 || 37.06 || 32.8 || -0.89 | |||
|- | |||
| 38 || 37.91 || 35.0 || +3.82 | |||
|- | |||
| 39 || 39.09 || 35.1 || -4.02 | |||
|- | |||
| 40 || 39.97 || 30.2 || +1.10 | |||
|- | |||
| 41 || 41.00 || 40.4 || +0.12 | |||
|- | |||
| 42 || 42.12 || 30.9 || -4.47 | |||
|- | |||
| 43 || 43.00 || 37.2 || -1.03 | |||
|- | |||
| 44 || 44.00 || 33.3 || -0.71 | |||
|- | |||
| 45 || 44.88 || 35.4 || +4.03 | |||
|- | |||
| 46 || 45.94 || 40.7 || +0.14 | |||
|- | |||
| 47 || 46.91 || 30.2 || +1.23 | |||
|- | |||
| 48 || 48.00 || 35.6 || +0.37 | |||
|- | |||
| 49 || 49.12 || 37.4 || -3.50 | |||
|- | |||
| 50 || 49.94 || 39.4 || +1.33 | |||
|- | |||
| 51 || 51.09 || 34.4 || -2.03 | |||
|- | |||
| 52 || 51.97 || 31.2 || +0.21 | |||
|- | |||
| 53 || 53.00 || 42.6 || +0.11 | |||
|- | |||
| 54 || 54.12 || 33.9 || -2.76 | |||
|- | |||
| 55 || 54.91 || 35.9 || +2.81 | |||
|- | |||
| 56 || 56.00 || 38.6 || -0.10 | |||
|- | |||
| 57 || 56.94 || 36.7 || +0.62 | |||
|- | |||
| 58 || 58.06 || 42.2 || -1.51 | |||
|- | |||
| 59 || 59.09 || 32.8 || -1.89 | |||
|- | |||
| 60 || 59.94 || 40.6 || +1.56 | |||
|- | |||
| 61 || 61.09 || 35.8 || -2.59 | |||
|- | |||
| 62 || 61.88 || 40.1 || +1.39 | |||
|- | |||
| 63 || 63.00 || 40.2 || -0.32 | |||
|- | |||
| 64 || 63.88 || 36.4 || +3.48 | |||
|- | |||
| 65 || 65.09 || 41.5 || -0.50 | |||
|- | |||
| 66 || 66.12 || 35.4 || -3.41 | |||
|- | |||
| 67 || 67.09 || 37.8 || -0.39 | |||
|- | |||
| 68 || 68.00 || 42.0 || -0.71 | |||
|- | |||
| 69 || 68.91 || 36.8 || +1.93 | |||
|- | |||
| 70 || 70.06 || 38.4 || -0.59 | |||
|- | |||
| 71 || 71.09 || 36.3 || -2.01 | |||
|- | |||
| 72 || 71.94 || 44.0 || +0.93 | |||
|- | |||
| 73 || 73.12 || 38.5 || -2.34 | |||
|- | |||
| 74 || 74.00 || 38.0 || -0.00 | |||
|- | |||
| 75 || 75.12 || 40.1 || -1.46 | |||
|- | |||
| 76 || 75.91 || 36.9 || +2.05 | |||
|- | |||
| 77 || 77.00 || 42.9 || +0.21 | |||
|- | |||
| 78 || 78.09 || 38.9 || -0.77 | |||
|- | |||
| 79 || 78.88 || 39.7 || +1.98 | |||
|- | |||
| 80 || 80.06 || 42.7 || -1.03 | |||
|- | |||
| 81 || 80.88 || 39.4 || +1.23 | |||
|- | |||
| 82 || 81.97 || 40.9 || +0.56 | |||
|- | |||
| 83 || 83.12 || 37.1 || -2.07 | |||
|- | |||
| 84 || 84.03 || 42.5 || -0.03 | |||
|- | |||
| 85 || 85.12 || 38.8 || -1.90 | |||
|- | |||
| 86 || 85.88 || 39.4 || +1.99 | |||
|- | |||
| 87 || 87.06 || 43.6 || -0.26 | |||
|- | |||
| 88 || 87.88 || 38.3 || +1.80 | |||
|- | |||
| 89 || 89.00 || 42.0 || -0.24 | |||
|- | |||
| 90 || 90.06 || 39.6 || -1.06 | |||
|- | |||
| 91 || 90.88 || 41.3 || +2.00 | |||
|- | |||
| 92 || 92.12 || 40.2 || -1.97 | |||
|- | |||
| 93 || 93.06 || 39.2 || +0.17 | |||
|- | |||
| 94 || 94.00 || 43.6 || +0.14 | |||
|- | |||
| 95 || 95.09 || 40.7 || -1.55 | |||
|- | |||
| 96 || 95.94 || 42.0 || +0.68 | |||
|- | |||
| 97 || 97.00 || 39.4 || -0.01 | |||
|- | |||
| 98 || 97.94 || 39.9 || +1.21 | |||
|- | |||
| 99 || 99.09 || 43.5 || -0.69 | |||
|- | |||
| 100 || 99.91 || 38.8 || +1.43 | |||
|- | |||
| 101 || 100.88 || 40.5 || +1.51 | |||
|- | |||
| 102 || 102.12 || 40.6 || -1.34 | |||
|- | |||
| 103 || 102.97 || 43.4 || +0.73 | |||
|- | |||
| 104 || 104.06 || 41.9 || -0.72 | |||
|- | |||
| 105 || 104.97 || 38.5 || +0.37 | |||
|- | |||
| 106 || 106.03 || 42.3 || +0.03 | |||
|- | |||
| 107 || 107.12 || 39.5 || -1.89 | |||
|- | |||
| 108 || 108.09 || 40.9 || -0.40 | |||
|- | |||
| 109 || 109.03 || 41.9 || -0.04 | |||
|- | |||
| 110 || 109.88 || 40.2 || +1.53 | |||
|- | |||
| 111 || 111.06 || 43.6 || -0.68 | |||
|- | |||
| 112 || 111.91 || 39.5 || +1.42 | |||
|- | |||
| 113 || 113.00 || 43.2 || +0.41 | |||
|- | |||
| 114 || 114.06 || 41.3 || -0.86 | |||
|- | |||
| 115 || 114.91 || 41.4 || +0.38 | |||
|- | |||
| 116 || 115.97 || 40.7 || +0.00 | |||
|- | |||
| 117 || 117.12 || 38.7 || -1.48 | |||
|- | |||
| 118 || 118.03 || 43.6 || +0.17 | |||
|- | |||
| 119 || 119.12 || 39.2 || -1.37 | |||
|- | |||
| 120 || 120.00 || 41.3 || -0.00 | |||
|- | |||
| 121 || 121.09 || 43.3 || -0.76 | |||
|- | |||
| 122 || 121.88 || 41.6 || +1.17 | |||
|- | |||
| 123 || 122.97 || 41.1 || +0.15 | |||
|- | |||
| 124 || 124.12 || 40.1 || -0.38 | |||
|- | |||
| 125 || 124.91 || 43.0 || +0.54 | |||
|- | |||
| 126 || 126.12 || 41.4 || -1.39 | |||
|- | |||
| 127 || 126.91 || 41.0 || +0.64 | |||
|- | |||
| 128 || 127.97 || 42.3 || -0.04 | |||
|- | |||
| 129 || 128.88 || 40.1 || +1.17 | |||
|- | |||
| 130 || 130.00 || 43.8 || -0.01 | |||
|- | |||
| 131 || 131.06 || 40.4 || -0.57 | |||
|- | |||
| 132 || 131.88 || 42.2 || +1.28 | |||
|- | |||
| 133 || 133.06 || 41.9 || -0.50 | |||
|- | |||
| 134 || 133.88 || 41.3 || +1.05 | |||
|- | |||
| 135 || 135.03 || 42.0 || -0.36 | |||
|- | |||
| 136 || 136.09 || 41.3 || -0.95 | |||
|- | |||
| 137 || 137.03 || 42.7 || -0.05 | |||
|- | |||
| 138 || 138.12 || 41.7 || -1.41 | |||
|- | |||
| 139 || 138.97 || 41.0 || +0.36 | |||
|- | |||
| 140 || 140.00 || 43.6 || +0.09 | |||
|} | |||
Revision as of 23:47, 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 | 1.06 | 10.8 | +0.00 |
| 2 | 2.03 | 10.6 | +0.00 |
| 3 | 3.12 | 13.5 | -0.03 |
| 4 | 4.03 | 12.1 | +0.01 |
| 5 | 5.06 | 13.7 | +0.11 |
| 6 | 6.03 | 12.6 | -0.47 |
| 7 | 7.03 | 14.1 | +10.58 |
| 8 | 8.12 | 14.4 | -0.09 |
| 9 | 8.97 | 15.9 | -0.10 |
| 10 | 10.12 | 17.3 | +0.19 |
| 11 | 11.03 | 17.4 | -0.17 |
| 12 | 11.97 | 24.9 | +0.49 |
| 13 | 13.03 | 15.2 | +0.00 |
| 14 | 13.91 | 21.1 | +9.93 |
| 15 | 15.12 | 22.6 | -3.43 |
| 16 | 16.00 | 20.2 | +4.52 |
| 17 | 17.12 | 26.2 | -2.36 |
| 18 | 18.09 | 19.7 | -8.70 |
| 19 | 18.97 | 29.5 | +3.64 |
| 20 | 19.94 | 19.9 | +2.01 |
| 21 | 21.00 | 23.1 | -0.71 |
| 22 | 22.06 | 30.3 | -1.04 |
| 23 | 22.91 | 21.5 | +9.07 |
| 24 | 24.00 | 30.7 | +0.13 |
| 25 | 25.06 | 23.7 | +0.87 |
| 26 | 25.94 | 30.6 | +3.03 |
| 27 | 27.12 | 32.8 | -4.21 |
| 28 | 27.94 | 24.3 | +0.04 |
| 29 | 28.94 | 31.8 | +3.28 |
| 30 | 30.03 | 24.0 | -2.72 |
| 31 | 31.00 | 37.4 | +0.36 |
| 32 | 32.06 | 28.1 | -2.29 |
| 33 | 32.88 | 26.1 | +4.29 |
| 34 | 34.06 | 36.7 | -1.67 |
| 35 | 34.94 | 28.8 | +2.80 |
| 36 | 36.00 | 34.4 | +0.45 |
| 37 | 37.06 | 32.8 | -0.89 |
| 38 | 37.91 | 35.0 | +3.82 |
| 39 | 39.09 | 35.1 | -4.02 |
| 40 | 39.97 | 30.2 | +1.10 |
| 41 | 41.00 | 40.4 | +0.12 |
| 42 | 42.12 | 30.9 | -4.47 |
| 43 | 43.00 | 37.2 | -1.03 |
| 44 | 44.00 | 33.3 | -0.71 |
| 45 | 44.88 | 35.4 | +4.03 |
| 46 | 45.94 | 40.7 | +0.14 |
| 47 | 46.91 | 30.2 | +1.23 |
| 48 | 48.00 | 35.6 | +0.37 |
| 49 | 49.12 | 37.4 | -3.50 |
| 50 | 49.94 | 39.4 | +1.33 |
| 51 | 51.09 | 34.4 | -2.03 |
| 52 | 51.97 | 31.2 | +0.21 |
| 53 | 53.00 | 42.6 | +0.11 |
| 54 | 54.12 | 33.9 | -2.76 |
| 55 | 54.91 | 35.9 | +2.81 |
| 56 | 56.00 | 38.6 | -0.10 |
| 57 | 56.94 | 36.7 | +0.62 |
| 58 | 58.06 | 42.2 | -1.51 |
| 59 | 59.09 | 32.8 | -1.89 |
| 60 | 59.94 | 40.6 | +1.56 |
| 61 | 61.09 | 35.8 | -2.59 |
| 62 | 61.88 | 40.1 | +1.39 |
| 63 | 63.00 | 40.2 | -0.32 |
| 64 | 63.88 | 36.4 | +3.48 |
| 65 | 65.09 | 41.5 | -0.50 |
| 66 | 66.12 | 35.4 | -3.41 |
| 67 | 67.09 | 37.8 | -0.39 |
| 68 | 68.00 | 42.0 | -0.71 |
| 69 | 68.91 | 36.8 | +1.93 |
| 70 | 70.06 | 38.4 | -0.59 |
| 71 | 71.09 | 36.3 | -2.01 |
| 72 | 71.94 | 44.0 | +0.93 |
| 73 | 73.12 | 38.5 | -2.34 |
| 74 | 74.00 | 38.0 | -0.00 |
| 75 | 75.12 | 40.1 | -1.46 |
| 76 | 75.91 | 36.9 | +2.05 |
| 77 | 77.00 | 42.9 | +0.21 |
| 78 | 78.09 | 38.9 | -0.77 |
| 79 | 78.88 | 39.7 | +1.98 |
| 80 | 80.06 | 42.7 | -1.03 |
| 81 | 80.88 | 39.4 | +1.23 |
| 82 | 81.97 | 40.9 | +0.56 |
| 83 | 83.12 | 37.1 | -2.07 |
| 84 | 84.03 | 42.5 | -0.03 |
| 85 | 85.12 | 38.8 | -1.90 |
| 86 | 85.88 | 39.4 | +1.99 |
| 87 | 87.06 | 43.6 | -0.26 |
| 88 | 87.88 | 38.3 | +1.80 |
| 89 | 89.00 | 42.0 | -0.24 |
| 90 | 90.06 | 39.6 | -1.06 |
| 91 | 90.88 | 41.3 | +2.00 |
| 92 | 92.12 | 40.2 | -1.97 |
| 93 | 93.06 | 39.2 | +0.17 |
| 94 | 94.00 | 43.6 | +0.14 |
| 95 | 95.09 | 40.7 | -1.55 |
| 96 | 95.94 | 42.0 | +0.68 |
| 97 | 97.00 | 39.4 | -0.01 |
| 98 | 97.94 | 39.9 | +1.21 |
| 99 | 99.09 | 43.5 | -0.69 |
| 100 | 99.91 | 38.8 | +1.43 |
| 101 | 100.88 | 40.5 | +1.51 |
| 102 | 102.12 | 40.6 | -1.34 |
| 103 | 102.97 | 43.4 | +0.73 |
| 104 | 104.06 | 41.9 | -0.72 |
| 105 | 104.97 | 38.5 | +0.37 |
| 106 | 106.03 | 42.3 | +0.03 |
| 107 | 107.12 | 39.5 | -1.89 |
| 108 | 108.09 | 40.9 | -0.40 |
| 109 | 109.03 | 41.9 | -0.04 |
| 110 | 109.88 | 40.2 | +1.53 |
| 111 | 111.06 | 43.6 | -0.68 |
| 112 | 111.91 | 39.5 | +1.42 |
| 113 | 113.00 | 43.2 | +0.41 |
| 114 | 114.06 | 41.3 | -0.86 |
| 115 | 114.91 | 41.4 | +0.38 |
| 116 | 115.97 | 40.7 | +0.00 |
| 117 | 117.12 | 38.7 | -1.48 |
| 118 | 118.03 | 43.6 | +0.17 |
| 119 | 119.12 | 39.2 | -1.37 |
| 120 | 120.00 | 41.3 | -0.00 |
| 121 | 121.09 | 43.3 | -0.76 |
| 122 | 121.88 | 41.6 | +1.17 |
| 123 | 122.97 | 41.1 | +0.15 |
| 124 | 124.12 | 40.1 | -0.38 |
| 125 | 124.91 | 43.0 | +0.54 |
| 126 | 126.12 | 41.4 | -1.39 |
| 127 | 126.91 | 41.0 | +0.64 |
| 128 | 127.97 | 42.3 | -0.04 |
| 129 | 128.88 | 40.1 | +1.17 |
| 130 | 130.00 | 43.8 | -0.01 |
| 131 | 131.06 | 40.4 | -0.57 |
| 132 | 131.88 | 42.2 | +1.28 |
| 133 | 133.06 | 41.9 | -0.50 |
| 134 | 133.88 | 41.3 | +1.05 |
| 135 | 135.03 | 42.0 | -0.36 |
| 136 | 136.09 | 41.3 | -0.95 |
| 137 | 137.03 | 42.7 | -0.05 |
| 138 | 138.12 | 41.7 | -1.41 |
| 139 | 138.97 | 41.0 | +0.36 |
| 140 | 140.00 | 43.6 | +0.09 |