1024/1023: Difference between revisions

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BudjarnLambeth (talk | contribs)
m + It is a Mersenne comma.
Godtone (talk | contribs)
m for now this needs a better name
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{{Infobox Interval
{{Infobox Interval
| Ratio = 1024/1023
| Ratio = 1024/1023
| Name = kilobyte comma
| Name = kibisma
| Color name = 31u1u2, thiwulu 2nd, <br>Thiwulu comma
| Color name = 31u1u2, thiwulu 2nd, <br>Thiwulu comma
| Comma = yes
| Comma = yes
}}
}}
'''1024/1023''', the '''kilobyte comma''' is a [[31-limit]] [[Superparticular ratio|superparticular comma]] of about 1.69 [[cent]]s. It forms the difference between [[32/31]] and [[33/32]]. By tempering it out is defined the '''kilobyte temperament''', which enables the [[kilobyte chords]].  It is a [[Mersenne comma]].
'''1024/1023''', the '''kibisma''' is a [[31-limit]] [[Superparticular ratio|superparticular comma]] of about 1.69 [[cent]]s. It forms the difference between [[32/31]] and [[33/32]]. By tempering it out is defined the '''kilobyte temperament''', which enables the [[kilobyte chords]].  It is a [[Mersenne comma]].


== Etymology ==
== Etymology ==
The word ''kilobyte'' for this comma was introduced by [[User:Xenllium|Xenllium]] in 2023. It often refers to 1024 (2<sup>10</sup>) bytes instead of 1000, arising from the prevalence of sizes that are [[wikipedia:Power of two|powers of two]] in modern digital memory architectures.
The word ''kilobyte'' for this comma was suggested by [[User:Xenllium|Xenllium]] in 2023 to refer to 1024 (2<sup>10</sup>) bytes but it was changed due to it having nothing to do with the logical [[128/125|kilobyte comma]] of 1024/1000 = 128/125, and as a result has nothing to do with bytes either, so ''kibisma'' was preferred as ''kibi'' is the SI prefix for unambiguously referring to 2<sup>10</sup>.


== See also ==
== See also ==
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
* [[Megabyte comma]] (1048576/1048575)
* [[Mebisma]] (1048576/1048575)


[[Category:Kilobyte]]
[[Category:Kilobyte]]

Revision as of 01:30, 29 September 2024

Interval information
Ratio 1024/1023
Subgroup monzo 2.3.11.31 [10 -1 -1 -1
Size in cents 1.691484¢
Name kibisma
Color name 31u1u2, thiwulu 2nd,
Thiwulu comma
FJS name [math]\displaystyle{ \text{m2}_{11,31} }[/math]
Special properties square superparticular,
reduced,
reduced subharmonic
Tenney norm (log2 nd) 19.9986
Weil norm (log2 max(n, d)) 20
Wilson norm (sopfr(nd)) 65
Comma size unnoticeable
S-expression S32
Open this interval in xen-calc

1024/1023, the kibisma is a 31-limit superparticular comma of about 1.69 cents. It forms the difference between 32/31 and 33/32. By tempering it out is defined the kilobyte temperament, which enables the kilobyte chords. It is a Mersenne comma.

Etymology

The word kilobyte for this comma was suggested by Xenllium in 2023 to refer to 1024 (210) bytes but it was changed due to it having nothing to do with the logical kilobyte comma of 1024/1000 = 128/125, and as a result has nothing to do with bytes either, so kibisma was preferred as kibi is the SI prefix for unambiguously referring to 210.

See also