155edo: Difference between revisions
Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories; misc. cleanup |
No edit summary |
||
| Line 3: | Line 3: | ||
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. 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 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. | |||
=== Odd harmonics === | === Odd harmonics === | ||