256/255: Difference between revisions

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rename the comma name: charisma → charsma (no-i spelling)
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{{Infobox Interval
{{Infobox Interval
| Name = septendecimal kleisma, <br>charisma, <br>diasemisma, <br>255th subharmonic
| Name = septendecimal kleisma, <br>charsma, <br>diasemisma, <br>255th subharmonic
| Color name = 17ug1, sugu 1sn, <br>Sugu comma
| Color name = 17ug1, sugu 1sn, <br>Sugu comma
| Comma = yes
| Comma = yes
}}
}}


'''256/255''', the '''septendecimal kleisma''', '''charisma''', '''diasemisma''' or '''255th subharmonic''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 6.8 [[cent]]s in size. It is the difference between [[16/15]] (classical diatonic semitone) and [[17/16]] (large septendecimal semitone, also called as ''minor diatonic semitone''), and forms the amount by which a stack consisting of [[15/8]] and 17/16 falls short of an [[octave]]. It differs from [[352/351]] (the minthma) by [[936/935]] – an [[unnoticeable comma]] measuring about 1.85 cents.
'''256/255''', the '''septendecimal kleisma''', '''charsma''', '''diasemisma''' or '''255th subharmonic''' is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 6.8 [[cent]]s in size. It is the difference between [[16/15]] (classical diatonic semitone) and [[17/16]] (large septendecimal semitone, also called as ''minor diatonic semitone''), and forms the amount by which a stack consisting of [[15/8]] and 17/16 falls short of an [[octave]]. It differs from [[352/351]] (the minthma) by [[936/935]] – an [[unnoticeable comma]] measuring about 1.85 cents.


By tempering it out is defined the '''charismic temperament''' or '''diasemismic temperament''', which enables the [[charismic chords]].
By tempering it out is defined the '''charsmic temperament''' or '''diasemismic temperament''', which enables the [[diasemismic chords|charsmic chords]].


== Etymology ==
== Etymology ==
The name ''diasemisma'' was named by [[User:Xenllium|Xenllium]] in 2023. It is a contraction of ''diatonic semitone'' into a single word; it is unrelated to the [[diasem]] scale structure. However, ''septendecimal kleisma'' and ''255th subharmonic'' were attested much earlier.
The name ''diasemisma'' was named by [[User:Xenllium|Xenllium]] in May 2023. It is a contraction of ''diatonic semitone'' into a single word; it is unrelated to the [[diasem]] scale structure. However, ''septendecimal kleisma'' and ''255th subharmonic'' were attested much earlier.
 
The name ''charisma'' for this comma was named by [[User:Godtone|Godtone]] in December 2023, and refers to the comma being a superparticular ratio with the numerator is 2<sup>8</sup> (the number of combinations in a byte, often referred to as a char in programming). Later, this name was revised to ''charsma'' (no-''i'' spelling) by Xenllium in January 2024 for disambiguation (formerly ''charisma'' and ''charismic'' are used for [[Magic family #Horcrux|horcrux extensions]]).


The name ''charisma'' was named by [[User:Godtone|Godtone]] in 2023, and refers to the comma being a superparticular ratio with the numerator is 2^8 (the number of combinations in a byte, often referred to as a char in programming).
== See also ==
== See also ==
* [[Small comma]]
* [[Small comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:Charismic]]
[[Category:Charsmic]]

Revision as of 10:11, 6 January 2024

Interval information
Ratio 256/255
Factorization 28 × 3-1 × 5-1 × 17-1
Monzo [8 -1 -1 0 0 0 -1
Size in cents 6.775876¢
Names septendecimal kleisma,
charsma,
diasemisma,
255th subharmonic
Color name 17ug1, sugu 1sn,
Sugu comma
FJS name [math]\displaystyle{ \text{P1}_{5,17} }[/math]
Special properties square superparticular,
reduced,
reduced subharmonic
Tenney height (log2 nd) 15.9944
Weil height (log2 max(n, d)) 16
Wilson height (sopfr(nd)) 41
Comma size small
S-expression S16
Open this interval in xen-calc

256/255, the septendecimal kleisma, charsma, diasemisma or 255th subharmonic is a small 17-limit superparticular comma about 6.8 cents in size. It is the difference between 16/15 (classical diatonic semitone) and 17/16 (large septendecimal semitone, also called as minor diatonic semitone), and forms the amount by which a stack consisting of 15/8 and 17/16 falls short of an octave. It differs from 352/351 (the minthma) by 936/935 – an unnoticeable comma measuring about 1.85 cents.

By tempering it out is defined the charsmic temperament or diasemismic temperament, which enables the charsmic chords.

Etymology

The name diasemisma was named by Xenllium in May 2023. It is a contraction of diatonic semitone into a single word; it is unrelated to the diasem scale structure. However, septendecimal kleisma and 255th subharmonic were attested much earlier.

The name charisma for this comma was named by Godtone in December 2023, and refers to the comma being a superparticular ratio with the numerator is 28 (the number of combinations in a byte, often referred to as a char in programming). Later, this name was revised to charsma (no-i spelling) by Xenllium in January 2024 for disambiguation (formerly charisma and charismic are used for horcrux extensions).

See also