Kaifsma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 193648/193545
| Ratio = 193648/193545
| Monzo = 4 -2 -1 2 -1 1 -1 1 -1
| Name = kaifsma, Twethunosutholuzozogu comma
| Cents = 0.921076
| Name = kaifsma,<br>Twethunosutholuzozogu comma
| Color name = 23u19o17u3o1uzzg2,<br>twethunosutholuzozogu 2nd
| Color name = 23u19o17u3o1uzzg2,<br>twethunosutholuzozogu 2nd
| FJS name = dd3<sup>7,7,13,19</sup><sub>5,11,17,23</sub>
| Comma = yes
| Sound =  
}}
}}


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 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'' (pleasure/delight), as Kai was delighted to find it so quickly.
 
Tempering it out leads to '''kaifsmic temperament''', which enables the '''kaifsmic chords'''. EDOs that support this include {{EDOs| 130, 183, 193, 270, 282, 311, 388, 581, and 624.}}
 
==See also==
*[[Unnoticeable comma]]
*[[PIFE comma]]


[[Category:23-limit]]
[[Category:Unnoticeable commas]]
[[Category:Kaifsmic]]
[[Category:Kaifsmic]]
[[Category:Commas named after mathematicians]]
[[Category:Commas named after music theorists]]
[[Category:Commas someone named after themselves]]
[[Category:Commas named for their regular temperament properties]]
[[Category:Commas named by translating something into another language]]

Latest revision as of 02:38, 16 November 2024

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 height (log2 nd) 35.1254
Weil height (log2 max(n, d)) 35.1262
Wilson height (sopfr(nd)) 116
Comma size unnoticeable
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 (pleasure/delight), as Kai was delighted to find it so quickly.

Tempering it out leads to kaifsmic temperament, which enables the kaifsmic chords. EDOs that support this include 130, 183, 193, 270, 282, 311, 388, 581, and 624.

See also