User:Hkm/Sandbox
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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
Let min_cents ~ 35, error_power ~ 1.5, complexity_fondness ~ 0.93, and magic_number ~ 2.
Let a "step" be any JI interval. We say that is the score of a "step" is equal to 1/(min_cents + (the step's error in cents)**error_power) * complexity_fondness**(the complexity of the step) / goodness_measurer. 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 with a list of generator tunings 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 with a list of generator tunings is the goodness_measurer necessary to get a score of magic_number. (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.) The goodness of a temperament on its own is the highest goodness that that temperament achieves; we can find optimal tunings for any temperament through this algorithm.