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 31213/31212. It is the amount by which a stack consisting of three [[7/6]]s, one [[26/17]] and one [[28/17]] exceeds two [[octave]]s. By tempering it out is defined the '''E-shaped temperament''', | 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 consisting of three [[7/6]]s, one [[26/17]] and one [[28/17]] exceeds two [[octave]]s. By tempering it out is defined 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]] | |||
* [[Neuseisma|28561/28560]] and [[336141/336140]] | |||
It factors into the following superparticular pair: | |||
* [[37180/37179]] and [[Scintillisma|194481/194480]] | |||
== Etymology == | == Etymology == | ||
Revision as of 08:05, 27 November 2023
| 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 consisting of three 7/6s, one 26/17 and one 28/17 exceeds two octaves. By tempering it out is defined 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.