User:Hkm/Sandbox: Difference between revisions

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{{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 ===
=== Practicality ===
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 ===
=== Writing ===
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 ===
=== Criticality ===
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 ===
=== Naming ===
1 [[1025/1024]]
1 1025/1024


=== Terrible concepts or designs ===
=== Design ===
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 ===
=== 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)
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 + (the motion's error in cents)) * badness_penalty**(the complexity of the motion) / critical_divisor. We then say that the score of a "path" is equal to the product of the scores of the steps. The score of a temperament is equal to the sum of the scores of all paths that reach the original interval times those path lengths. The goodness of a temperament is the critical_divisor necessary to get a score of 2. (This also works for scales without JI interpretations; we assign a JI interpretation to each pair of notes and compute the goodness of the best assignment.)
We say that is the score of a "step" is equal to 1/(min_cents + (the motion's error in cents)) * badness_penalty**(the complexity of the motion) / critical_divisor. We then say that the score of a "path" is equal to the product of the scores of the steps. The score of a temperament is equal to the sum of the scores of all paths that reach the original interval times those path lengths. The goodness of a temperament is the critical_divisor necessary to get a score of 2. (This also works for scales without JI interpretations; we assign a JI interpretation to each pair of notes and compute the goodness of the best assignment.)