Gregorian leap week: Difference between revisions
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An interesting variation upon the scale is the ISOWeek[71], which contains all the years which have 53 weeks in the current calendar system. It is a maximum variety 3 scale, with step sizes of mostly 5, 6, and once 7. Unlike the smoothly spread scale which has 231\400 in the [[Irvian mode]], the ISOWeek[71] has 232\400 fifth, which corresponds to the 696-cent fifth of 50edo. | An interesting variation upon the scale is the ISOWeek[71], which contains all the years which have 53 weeks in the current calendar system. It is a maximum variety 3 scale, with step sizes of mostly 5, 6, and once 7. Unlike the smoothly spread scale which has 231\400 in the [[Irvian mode]], the ISOWeek[71] has 232\400 fifth, which corresponds to the 696-cent fifth of 50edo. | ||
[[Category:71edo]] | [[Category:71edo]] | ||
[[Category:400edo]] | [[Category:400edo]] | ||
[[Category:19-limit]] | [[Category:19-limit]] | ||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Rank-2 temperaments]] | |||
Revision as of 23:08, 19 April 2025
Gregorian leap week is a rank 2 temperament produced by temperament-merging 71edo and 400edo with the purpose of creating a scale that mimics the distribution of years with 53 weeks.
400edo supports the GregorianLeapWeek[71] scale with 231\400 as the generator, which is close to 5/12 syntonic comma meantone. In the 19-limit, the generator corresponds to 525/352 and the comma basis is 969/968, 1001/1000, 2128/2125, 3328/3325, 4225/4224, and 444528/444125.
An interesting variation upon the scale is the ISOWeek[71], which contains all the years which have 53 weeks in the current calendar system. It is a maximum variety 3 scale, with step sizes of mostly 5, 6, and once 7. Unlike the smoothly spread scale which has 231\400 in the Irvian mode, the ISOWeek[71] has 232\400 fifth, which corresponds to the 696-cent fifth of 50edo.