155edo: Difference between revisions

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155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1|3]]. The equal temperament [[tempering out|tempers out]] 15625/15552 ([[15625/15552|kleisma]]) and {{monzo| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.

155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1|3]]. The equal temperament [[tempering out|tempers out]] 15625/15552 ([[15625/15552|kleisma]]) and {{monzo| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit, supporting [[clyde]]. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.

155edo is additionally notable for having an extremely precise (about 0.0006 cents sharp) approximation of [[15/13]], being the denominator of a convergent to its logarithm, the last one before [[8743edo]], having 28-strong [[telicity]] for this interval.

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 {{ED intro}}
-edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1|3]]. The equal temperament [[tempering out|tempers out]] 15625/15552 ([[15625/15552|kleisma]]) and {{monzo| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.
+edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1|3]]. The equal temperament [[tempering out|tempers out]] 15625/15552 ([[15625/15552|kleisma]]) and {{monzo| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit, supporting [[clyde]]. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.
 edo is additionally notable for having an extremely precise (about 0.0006 cents sharp) approximation of [[15/13]], being the denominator of a convergent to its logarithm, the last one before [[8743edo]], having 28-strong [[telicity]] for this interval.