836edo: Difference between revisions
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" Tags: Mobile edit Mobile web edit |
Tristanbay (talk | contribs) →Theory: Added sentence about midpoint between 19edo and 22edo perfect fifth Tags: Mobile edit Mobile web edit |
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== Theory == | == Theory == | ||
836edo is a strong 11-limit system, having the record of lowest absolute error and beating [[612edo]]. | 836edo is a strong 11-limit system, having the record of lowest absolute error and beating [[612edo]]. Its perfect fifth is notable as the midpoint between that of [[19edo]] and [[22edo]], which are nearly the same distance away from a pure 3/2 but in opposite directions, thus being quite an accurate approximation. | ||
As an equal temperament, it [[tempering out|tempers out]] the [[counterschisma]] and the [[enneadeca]] in the 5-limit; [[4375/4374]], [[703125/702464]] in the 7-limit; [[3025/3024]] and [[9801/9800]] in the 11-limit. It supports [[enneadecal]] in the 7-limit as well as [[hemienneadecal]] in the 11-limit. It also tunes [[orga]] and [[quasithird]]. In addition, it is divisible by 44 and in light of that it tunes [[ruthenium]] in the 7-limit and also 11-limit. | As an equal temperament, it [[tempering out|tempers out]] the [[counterschisma]] and the [[enneadeca]] in the 5-limit; [[4375/4374]], [[703125/702464]] in the 7-limit; [[3025/3024]] and [[9801/9800]] in the 11-limit. It supports [[enneadecal]] in the 7-limit as well as [[hemienneadecal]] in the 11-limit. It also tunes [[orga]] and [[quasithird]]. In addition, it is divisible by 44 and in light of that it tunes [[ruthenium]] in the 7-limit and also 11-limit. | ||