229edo: Difference between revisions
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== Theory == | == Theory == | ||
While not highly accurate for its size, 229edo is the point where a few important temperaments meet, and is distinctly [[consistent]] in the [[11-odd-limit]]. It tempers out 393216/390625 ([[würschmidt comma]]) and {{monzo| 39 -29 3 }} ([[tricot comma]]) in the 5-limit; [[2401/2400]], [[3136/3125]], [[6144/6125]], and [[14348907/14336000]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[8019/8000]], [[14641/14580]] and 15488/15435 in the 11-limit, and using the [[patent val]], [[351/350]], [[2080/2079]], and [[4096/4095]] in the 13-limit, notably supporting [[hemiwürschmidt]], [[newt]], and [[trident]]. | While not highly accurate for its size, 229edo is the point where a few important temperaments meet, and is distinctly [[consistent]] in the [[11-odd-limit]]. It tempers out 393216/390625 ([[würschmidt comma]]) and {{monzo| 39 -29 3 }} ([[tricot comma]]) in the 5-limit; [[2401/2400]], [[3136/3125]], [[6144/6125]], and [[14348907/14336000]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[8019/8000]], [[14641/14580]] and 15488/15435 in the 11-limit, and using the [[patent val]], [[351/350]], [[2080/2079]], and [[4096/4095]] in the 13-limit, notably [[support|supporting]] [[hemiwürschmidt]], [[newt]], and [[trident]]. | ||
The 229b val supports a [[septimal meantone]] close to the [[CTE tuning]]. | The 229b val supports a [[septimal meantone]] close to the [[CTE tuning]]. | ||