Centisma: Difference between revisions

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The '''centisma''' is a [[17-limit]] (2.3.17 subgroup) unnoticeable comma measuring about 0.189 cents in size. It is the difference between a stack of 400 [[17/12]]'s and the octave. The tempering out of this results in a period of 1 step of [[400edo]] (3 cents) and makes [[17/12]], an astronomically close interval to 603 cents (603.00041), exactly 603 cents. Similarly, it makes the [[289/288|semitonisma]] exactly 6 cents. As such this temperament is very bbursdly accurate and it isn't supported by anything other than [[400edo]] until reaching 13400edo.
The '''centisma''' is a [[17-limit]] (2.3.17 subgroup) unnoticeable comma measuring about 0.189 cents in size. It is the difference between a stack of 400 [[17/12]]'s and the octave. The tempering out of this results in a period of 1 step of [[400edo]] (3 cents) and makes [[17/12]], an astronomically close interval to 603 cents (603.00041), exactly 603 cents. Similarly, it makes the [[289/288|semitonisma]] exactly 6 cents. As such this temperament is very abursdly accurate and it isn't supported by anything other than [[400edo]] until reaching 13400edo.

Revision as of 18:38, 8 September 2023

Interval information
Subgroup monzo 2.3.17 [-1001 -400 400
Size in cents 0.163454¢
Name centisma
Special properties reduced
Tenney norm (log2 nd) 3269.97
Weil norm (log2 max(n, d)) 3269.97
Wilson norm (sopfr(nd)) 10002
Open this interval in xen-calc

The centisma is a 17-limit (2.3.17 subgroup) unnoticeable comma measuring about 0.189 cents in size. It is the difference between a stack of 400 17/12's and the octave. The tempering out of this results in a period of 1 step of 400edo (3 cents) and makes 17/12, an astronomically close interval to 603 cents (603.00041), exactly 603 cents. Similarly, it makes the semitonisma exactly 6 cents. As such this temperament is very abursdly accurate and it isn't supported by anything other than 400edo until reaching 13400edo.