User:Hkm/Sandbox

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Revision as of 19:53, 25 June 2025 by Hkm (talk | contribs) (Badness)
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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 a "step" be any JI interval. We say that is the score of a "step" is equal to 1/(min_cents + (the motion's error in cents)**error_power) * complexity_fondness**(the complexity of the motion) / 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 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 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.)