Euzenius comma: Difference between revisions

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The euzenius comma is a 7-limit ~~unnoticeable~~ comma with a ratio of 78125000/78121827, a monzo of [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~~]].

{{Infobox Interval

| Ratio = 78125000/78121827

| Name = euzenius comma

| Color name = srry<sup>10</sup>-3, Sabiruquinyo comma

| Comma = yes

}}

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 ==

Tempering this comma ~~out~~ gives euzenius temperament (→ [[Very high accuracy temperaments #~~Starscape~~ or ~~Latritriru~~-~~ayo~~]]).

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 ==

* [[Unnoticeable comma]]

[[Category:~~7-limit]]~~

[[Category:Commas with unknown etymology]]

~~[[Category:Unnoticeable commas~~]]

@@ Line 1: / Line 1: @@
-The euzenius comma is a 7-limit unnoticeable comma with a ratio of 78125000/78121827, a monzo of [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]].
+{{Infobox Interval
+| Ratio = 78125000/78121827
+| Name = euzenius comma
+| Color name = srry<sup>10</sup>-3, Sabiruquinyo comma
+| Comma = yes
+}}
+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 ==
-Tempering this comma out gives euzenius temperament (→ [[Very high accuracy temperaments #Starscape or Latritriru-ayo]]).
+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 ==
 * [[Unnoticeable comma]]
-[[Category:7-limit]]
+[[Category:Commas with unknown etymology]]
-[[Category:Unnoticeable commas]]