Xenharmonic Wiki

User:Hkm/Sandbox: Difference between revisions

← Older edit
VisualWikitext
Hkm (talk | contribs)
autopatrolled
1,038 edits
Hkm (talk | contribs)
autopatrolled
1,038 edits
No edit summary
 
(19 intermediate revisions by the same user not shown)
Line 1: Line 1:
{{Editable user page}}
{{Editable user page}}


== Pages that are in the greatest need of fixes (Sadbox) ==
== Sadbox ==
Importance of fixing the page is scored out of 5 because i can't stop myself from ranking things. Some reasonably good pages, like [[31edo]], can still have a high score because they get so much attention.


=== Overly mathematical ===
=== Impractical ===
3 [[Wedgies and multivals]]
3 Wedgies


5 [[Tenney–Euclidean]]
5 TE


5 [[Otonality and utonality]] (what are the musical implications?)
5 Otonality and utonality (what are the musical implications?)


2 [[Balanced word]]
2 Balanced word


2 [[43edo]]
2 43ed2


3 [[31edo]] (needs to be especially accessible to beginners, which it is not)
3 31ed2 (beginner-friendliness)


=== Terribly written ===
=== Badly written ===
5 [[Intro to Xenharmonics]] (can be supplemented with user:hkm/Intro_page)
5 Intro to Xenharmonics (can be supplemented with user:hkm/Intro_page)


4 [[Concordance]]
4 Concordance


2 [[29edo]] (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)
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 [[Fokker block]]
4 Periodicity block


3 [[FAQ]]
3 FAQ


=== Unnecessary ===
=== Unnecessary ===
1 [[Oodako]]
1 Oodako


1 [[Augmented_family#Trug]]
1 Trug


1 [[Oviminor]]
1 Oviminor


2 A bunch of stub pages
2 A bunch of stub pages


=== Terrible names ===
=== Badly named ===
1 [[1025/1024]]
1 1025/1024


=== Terrible concepts or designs ===
=== Badly designed ===
2 [[Ploidacot]] (this is a matter of opinion, so remove if this is too controversial--but we're forcing people to learn new number names for absolutely no reason)
2 Ploidacot (why the number names?)


=== Bad formatting ===
=== Badly formatted ===
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)
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 ==
== Badness ==
We say that is the score of a "step" is equal to 1/(min_cents + sqrt(the motion's error in cents)) * badness_penalty**(the complexity of the motion). We then say that the score of a "path" is equal to the product of the scores of the steps. The badness of a rank-2 temperament is equal to the sum of the scores of all paths that reach the original interval. (This works for irregular and regular temperaments. It also works for scales without JI interpretations, because for every step we can try every JI interpretation.)
{| 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 || 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
|}
== asdf ==
{{Harmonics in equal
| steps = 57
| num = 6
| denom = 1
| intervals = integer
}}
Retrieved from "https://en.xen.wiki/w/User:Hkm/Sandbox"