User:2^67-1/Derivation of some temperaments: Difference between revisions

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Note that there are less than three EDOs or EDTs which support this temperament ([[7edo|7]] and [[111edo|111]], and [[22edt|22]] and [[176edt|176]] repectively).  
Note that there are less than three EDOs or EDTs which support this temperament ([[7edo|7]] and [[111edo|111]], and [[22edt|22]] and [[176edt|176]] repectively).  
Of these three tunings:
* [[7edo]] makes the semitone and fine tuning increment 0 steps.
* [[22edt]] makes the semitone 1 step and fine tuning increment 0 steps.
* [[111edo]]/[[176edt]] makes the semitone 8 steps and fine tuning increment 1 step.


== Subsets ==
== Subsets ==
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=== 7&b22 ===
=== 7&b22 ===


Also note that if one removes the fine tunings below, one obtains [https://sintel.pythonanywhere.com/result?subgroup=2.3.5.7.11.13.17.19.23.31.47.127&reduce=on&weights=weil&target=&edos=7+14%5B-5%2C-13%2C-47%2C-127%5D&submit_edo=submit&commas= this temperament], which in comparison is an exotemperament: however, if one is fine with [[11edt]]'s approximations of 2, 3, 5, and 11 this temperament should be usable. The [[7edo]]-based mapping is:
Also note that if one removes the fine tunings, one obtains [https://sintel.pythonanywhere.com/result?subgroup=2.3.5.7.11.13.17.19.23.31.47.127&reduce=on&weights=weil&target=&edos=7+14%5B-5%2C-13%2C-47%2C-127%5D&submit_edo=submit&commas= this temperament], which in comparison is an exotemperament: however, if one is fine with [[11edt]]'s approximations of 2, 3, 5, and 11 this temperament should be usable. The [[7edo]]-based mapping is:


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