File:WilsonHeightIntegerLimit.png: Difference between revisions

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== Summary ==
== Summary ==
Diagram by [[Lériendil]] showing the [[Wilson height]] (vertical axis) versus [[integer limit]] (horizontal axis) of simple [[interval]]s.
Diagram by [[Lériendil]] showing the [[Wilson height]] (vertical axis) versus [[integer limit]] (horizontal axis) of simple [[interval]]s. Cells are colored based on the [[prime limit]] of their interval - green for [[2-limit]], azure for [[3-limit]], pink for [[5-limit]], navy for [[7-limit]], red for [[11-limit]], and purple for [[13-limit]]; note that one cell is gray because it contains a 5-limit interval ([[27/10]]) and 7-limit interval ([[27/7]]) simultaneously. Text is formatted based on the octave the interval falls in: bold for intervals between [[1/1]] and [[2/1]], normal text between 2/1 and [[4/1]], dark gray italic between 4/1 and [[8/1]], and light gray italic above 8/1.


== Licensing ==
== Licensing ==
{{cc-by-4.0}}
{{cc-by-4.0}}

Latest revision as of 23:42, 11 June 2025

Summary

Diagram by Lériendil showing the Wilson height (vertical axis) versus integer limit (horizontal axis) of simple intervals. Cells are colored based on the prime limit of their interval - green for 2-limit, azure for 3-limit, pink for 5-limit, navy for 7-limit, red for 11-limit, and purple for 13-limit; note that one cell is gray because it contains a 5-limit interval (27/10) and 7-limit interval (27/7) simultaneously. Text is formatted based on the octave the interval falls in: bold for intervals between 1/1 and 2/1, normal text between 2/1 and 4/1, dark gray italic between 4/1 and 8/1, and light gray italic above 8/1.

Licensing

Template:Cc-by-4.0

File history

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Date/TimeThumbnailDimensionsUserComment
current02:39, 26 May 2025Thumbnail for version as of 02:39, 26 May 20252,320 × 1,020 (94 KB)BudjarnLambeth (talk | contribs)Diagram by Lériendil showing the Wilson height (vertical axis) versus integer limit (horizontal axis) of simple intervals.

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