289/288: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = semitonisma | ||
| Color name = 17oo2, soso 2nd,<br>Soso comma | | Color name = 17oo2, soso 2nd,<br>Soso comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''289/288''', the '''septendecimal semitones comma'' | '''289/288''', the '''semitonisma''', also described as the ''septendecimal semitones comma'' and ''septendecimal 6-cent comma'', is a [[17-limit]] (also 2.3.17 [[subgroup]]) [[superparticular]] [[comma]] of about 6 [[cent]]s. It is the difference between [[17/16]] and [[18/17]], the two septendecimal semitones, as well as between [[17/12]] and [[24/17]], the two septendecimal tritones. | ||
== Temperaments == | |||
Tempering it out results in the rank-6 '''semitonismic temperament''', or in the 2.3.17 subgroup, the rank-2 '''semitonic temperament'''. In either case the [[octave]] is split into two equal parts, each representing 17/12~24/17, and so is the whole tone, each representing 17/16~18/17. Odd edos cannot temper it out. | |||
== Etymology == | |||
The semitonisma was named by [[Flora Canou]] in 2023. It is a contraction of ''septendecimal semitones comma'' into a single word consisting of Latin ''semi'' ("half") and ''tonus'' ("tone"). However, ''septendecimal semitones comma'' and ''septendecimal 6-cent comma'' were attested much earlier. | |||
== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Semitonismic]] | |||
Revision as of 10:41, 23 February 2023
| Interval information |
Soso comma
reduced
289/288, the semitonisma, also described as the septendecimal semitones comma and septendecimal 6-cent comma, is a 17-limit (also 2.3.17 subgroup) superparticular comma of about 6 cents. It is the difference between 17/16 and 18/17, the two septendecimal semitones, as well as between 17/12 and 24/17, the two septendecimal tritones.
Temperaments
Tempering it out results in the rank-6 semitonismic temperament, or in the 2.3.17 subgroup, the rank-2 semitonic temperament. In either case the octave is split into two equal parts, each representing 17/12~24/17, and so is the whole tone, each representing 17/16~18/17. Odd edos cannot temper it out.
Etymology
The semitonisma was named by Flora Canou in 2023. It is a contraction of septendecimal semitones comma into a single word consisting of Latin semi ("half") and tonus ("tone"). However, septendecimal semitones comma and septendecimal 6-cent comma were attested much earlier.