Kaifsma: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 193648/193545 | Monzo = 4 -2 -1 2 -1 1 -1 1 -1 | Cents = 0.921076 | Name = kaifsma,<br>Twethunosutholuzozogu comma | Color name = 23u19o17u3o1uzzg..."
 
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The interval of 193648/193545, or the '''kaifsma''', is an [[Unnoticeable comma|unnoticeable]] [[23-limit]] comma, which happens also to be an imperfect [[PIFE comma]]. It was discovered by Kaiveran, messing around in xen-calc after learning (to eir disappointment) that there were no S-PIFE commas in the 23-limit.
The interval of 193648/193545, or the '''kaifsma''', is an [[Unnoticeable comma|unnoticeable]] [[23-limit]] comma, which happens also to be an imperfect [[PIFE comma]]. It was discovered by [[User:Kaiveran|Kaiveran]], messing around in xen-calc after learning (to eir disappointment) that there were no S-PIFE commas in the 23-limit.


The name is a portmanteau of Kai + PIFE, and also references Arabic ''kaif'', as I was delighted to find it so quickly!
The name is a portmanteau of Kai + PIFE, and also references Arabic ''kaif'', as I was delighted to find it so quickly!

Revision as of 00:39, 18 August 2022

Interval information
Ratio 193648/193545
Factorization 24 × 3-2 × 5-1 × 72 × 11-1 × 13 × 17-1 × 19 × 23-1
Monzo [4 -2 -1 2 -1 1 -1 1 -1
Size in cents 0.9210761¢
Names kaifsma,
Twethunosutholuzozogu comma
Color name 23u19o17u3o1uzzg2,
twethunosutholuzozogu 2nd
FJS name [math]\displaystyle{ \text{dd3}^{7,7,13,19}_{5,11,17,23} }[/math]
Special properties reduced
Tenney norm (log2 nd) 35.1254
Weil norm (log2 max(n, d)) 35.1262
Wilson norm (sopfr(nd)) 116
Open this interval in xen-calc

The interval of 193648/193545, or the kaifsma, is an unnoticeable 23-limit comma, which happens also to be an imperfect PIFE comma. It was discovered by Kaiveran, messing around in xen-calc after learning (to eir disappointment) that there were no S-PIFE commas in the 23-limit.

The name is a portmanteau of Kai + PIFE, and also references Arabic kaif, as I was delighted to find it so quickly!