Euzenius comma: Difference between revisions

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| Ratio = 78125000/78121827
| Ratio = 78125000/78121827
| Name = euzenius comma
| Name = euzenius comma
| Color name = srry<sup>10</sup>-3, sabiruquinyo-a negative 3rd
| Color name = srry<sup>10</sup>-3, Sabiruquinyo comma
| Comma = yes
| Comma = yes
}}
}}
The '''euzenius comma''' is a 7-limit unnoticeable comma with a ratio of 78125000/78121827, a monzo of {{monzo| 3 -13 10 -2 }}, and a size of 0.070314 cents. It is the difference between two 6250/5103 intervals and the perfect fifth. It is tempered out in temperaments such as [[ennealimmal]] and [[Very high accuracy temperaments|fortune]].
The '''euzenius comma''' is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with a [[ratio]] of 78125000/78121827, a [[monzo]] of {{monzo| 3 -13 10 -2 }}, and a size of 0.070314 [[cent]]s. It is the difference between two 6250/5103 intervals and the [[3/2|perfect fifth]]. In terms of commas, it is the difference between a [[2401/2400|breedsma]] and a stack of two [[4375/4374|ragismas]], relating the two smallest 7-limit [[superparticular]] commas.  


== Temperament ==
== Temperament ==
Tempering this comma out gives euzenius temperament (→ [[Very high accuracy temperaments #Euzenius or Sabiruquinyo]]).  
Tempering out this comma gives the euzenius temperament (→ [[Very high accuracy temperaments #Euzenius or Sabiruquinyo]]). In any tuning of euzenius, the breedsma is split in two, and the perfect fifth as well. [[Ennealimmal]] is an obvious rank-2 temperament where this comma is tempered out, as both the breedsma and the ragisma are tempered out. Another example of rank-2 temperament is given by [[Very high accuracy temperaments #Fortune|fortune]].


== See also ==
== See also ==
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
[[Category:Commas with unknown etymology]]