Sesdecal comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 234375/234256 | | Ratio = 234375/234256 | ||
| Name = sesdecal | | Name = sesdecal comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''sesdecal''' ( | The '''sesdecal comma''' ({{monzo|legend=1| -4 1 7 0 -4 }}, [[ratio]]: 234375/234256) is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (also 2.3.5.11 [[subgroup]]) [[comma]] measuring about 0.879 [[cent]]s. It is the difference between four intervals of [[25/22]] and [[5/3]]. This comma also functions as a way to introduce prime 41 into the 2.3.5.11 subgroup, by noting this to be the difference between [[1025/1024]] and [[600281/600000]], and also connects to harmonies of 31 through tempering out [[961/960]] and [[3751/3750]] implying that 234375/234256 is also tempered out. | ||
== Etymology == | == Etymology == | ||
The '''sesdecal''' was named before 2023<ref>[https://et.wikipedia.org/wiki/Sesdecal]</ref>, though its etymology seems lost. | The '''sesdecal''' was named before 2023<ref>[https://et.wikipedia.org/wiki/Sesdecal Estonian Wikipedia: Sesdecal]</ref>, though its etymology seems lost. The "decal" part presumably refers to the [[decal]] temperament, which tempers it out. | ||
== Notes == | == Notes == | ||
<references/> | <references/> | ||
[[Category:Commas with unknown etymology]] | |||
Latest revision as of 14:47, 4 May 2025
| Interval information |
The sesdecal comma (monzo: [-4 1 7 0 -4⟩, ratio: 234375/234256) is an unnoticeable 11-limit (also 2.3.5.11 subgroup) comma measuring about 0.879 cents. It is the difference between four intervals of 25/22 and 5/3. This comma also functions as a way to introduce prime 41 into the 2.3.5.11 subgroup, by noting this to be the difference between 1025/1024 and 600281/600000, and also connects to harmonies of 31 through tempering out 961/960 and 3751/3750 implying that 234375/234256 is also tempered out.
Etymology
The sesdecal was named before 2023[1], though its etymology seems lost. The "decal" part presumably refers to the decal temperament, which tempers it out.