Euzenius comma: Difference between revisions
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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 [[ | 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 == | ||
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== See also == | == See also == | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
[[Category:Commas with unknown etymology]] | |||
Latest revision as of 05:55, 6 November 2024
| Interval information |
The euzenius comma is an unnoticeable 7-limit 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. In terms of commas, it is the difference between a breedsma and a stack of two ragismas, relating the two smallest 7-limit superparticular commas.
Temperament
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 fortune.