16808edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
16808edo's step size is sometimes called a '''jinn''', a term proposed by [[Gene Ward Smith]]<ref>[https://www.huygens-fokker.org/docs/measures.html Stichting Huygens-Fokker: Logarithmic Interval Measures]</ref>, when used as an [[interval size unit]]. | 16808edo's step size is sometimes called a '''jinn''', a term proposed by [[Gene Ward Smith]]<ref>[https://www.huygens-fokker.org/docs/measures.html Stichting Huygens-Fokker: Logarithmic Interval Measures]</ref>, when used as an [[interval size unit]]. | ||
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Among the enormous list of 31-limit commas it tempers out, the simplest are 43681/43680, 49011/49010, 52326/52325 and 53361/53360. In the 13-limit it tempers out 123201/123200 and 1990656/1990625; in the 17-limit 194481/194480 and 336141/336140; in the 19-limit 43681/43680, 89376/89375 and 104976/104975. Since 43681/43680 is both the simplest comma it tempers out and the limit is as low (in this context) as 19, it may be regarded as rather characteristic of 16808. | Among the enormous list of 31-limit commas it tempers out, the simplest are 43681/43680, 49011/49010, 52326/52325 and 53361/53360. In the 13-limit it tempers out 123201/123200 and 1990656/1990625; in the 17-limit 194481/194480 and 336141/336140; in the 19-limit 43681/43680, 89376/89375 and 104976/104975. Since 43681/43680 is both the simplest comma it tempers out and the limit is as low (in this context) as 19, it may be regarded as rather characteristic of 16808. | ||
It is also notable for being the smallest EDO after [[311edo|311]] that is [[purely consistent]] in the 31-odd-limit (approximates all odd harmonics from 1 to 31 with less than 25% relative error). | |||
=== Prime harmonics === | === Prime harmonics === | ||