E-shaped comma: Difference between revisions
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The '''E-shaped comma''' is a [[17-limit]] [[unnoticeable comma]] of measuring 0.055 [[cent]]s, with frequency ratio of 31213/31212. It is the amount by which a stack | The '''E-shaped comma''' is a [[17-limit]] [[unnoticeable comma]] of measuring 0.055 [[cent]]s, with frequency ratio of 31213/31212. It is the amount by which a stack of two [[51/49]]'s falls short of [[13/12]]. Tempering it out defines the '''E-shaped temperament'''. | ||
== Commatic relations == | == Commatic relations == | ||
| Line 13: | Line 13: | ||
* [[2401/2400]] and [[2601/2600]] | * [[2401/2400]] and [[2601/2600]] | ||
* [[4914/4913]] and [[5832/5831]] | * [[4914/4913]] and [[5832/5831]] | ||
* [[ | * [[28561/28560]] and [[336141/336140]] | ||
It factors into the following superparticular pair: | It factors into the following superparticular pair: | ||
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[[Category:E-shaped]] | [[Category:E-shaped]] | ||
[[Category:Commas referencing a famous use of a number]] | |||
Latest revision as of 19:51, 8 July 2026
| Interval information |
susuthoquadzo 2nd
reduced
The E-shaped comma is a 17-limit unnoticeable comma of measuring 0.055 cents, with frequency ratio of 31213/31212. It is the amount by which a stack of two 51/49's falls short of 13/12. Tempering it out defines the E-shaped temperament.
Commatic relations
In terms of commas, it is the difference between the following superparticular pairs:
- 1225/1224 and 1275/1274
- 2401/2400 and 2601/2600
- 4914/4913 and 5832/5831
- 28561/28560 and 336141/336140
It factors into the following superparticular pair:
Etymology
This comma was named by Xenllium in 2023. It came from its numerator of the lowest terms, 31213, which constructs an E-shape by square tiling. Its denominator, 31212 also constructs another form of E-shape.