256/255: Difference between revisions
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'''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. | '''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 '''charsmic temperament''' or ''' | By tempering it out is defined the '''charsmic temperament''' (full 17-limit rank-6) or '''charic temperament''' (2.3.5.17 subgroup rank-3), which enables the [[diasemismic chords|charsmic chords]]. | ||
== Etymology == | == Etymology == | ||
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 ''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. | ||
[[User:Godtone|Godtone]] named this comma ''charisma'' in December 2023, referring 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'' were used for [[Magic family #Horcrux|horcrux extensions]]). | |||
== See also == | == See also == | ||
Revision as of 12:06, 6 January 2024
| Interval information |
charsma,
diasemisma,
255th subharmonic
Sugu comma
reduced,
reduced subharmonic
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 (full 17-limit rank-6) or charic temperament (2.3.5.17 subgroup rank-3), 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.
Godtone named this comma charisma in December 2023, referring 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 were used for horcrux extensions).