35035/34992: Difference between revisions

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{{Infobox Interval|Ratio=35035/34992|Name=eufalesma|Color name=3o1ozzyM, tholozozoyoma|Comma=yes}}35035/34992, the ''eufalesma'', is an [[Unnoticeable comma|unnoticeable]] [[13-limit]] comma. It arises as the '''product''' of different 13-limit commas such as:
{{Infobox Interval
| Ratio = 35035/34992
| Name = eufalesma
| Color name = 3o1ozzyM, tholozozoyoma
| Comma=yes
}}
'''35035/34992''', the '''eufalesma''', is an [[unnoticeable comma|unnoticeable]] [[13-limit]] comma. It arises as the difference between [[17303/17280]] and the [[9801/9800|kalisma]].


* [[4096/4095|minisma]] and [[19712/19683|symbiotisma]]
It factors into different 13-limit commas such as:
* [[1001/1000|sinbadma]] and [[4375/4374|ragisma]]
* [[3025/3024|lehmerisma]] and [[4459/4455|tristanisma]]
* [[4096/4095|minisma]] and [[19712/19683|symbiotic comma]]
* [[2080/2079|sinaisma]] and [[41503/41472|argyria]]
* [[2080/2079|sinaisma]] and [[41503/41472|argyria]]
* [[4375/4374|ragisma]] and [[1001/1000|sinbadma]]
* [[3025/3024|lehmerisma]] and [[4459/4455|tristanisma]]
* [[wilschisma]] and [[olympia]]
* [[wilschisma]] and [[olympia]]
* [[1729/1728]] and [[1540/1539]] ([[19-limit]] commas)


It is also the quotient between [[17303/17280]] and the [[9801/9800|kalisma]].
In the 19-limit, it factors into ([[1540/1539]])⋅([[1729/1728]]).  


In terms of intervals, it is hard to visualize due to the positive prime stacking, but it can be viewed as [[77/72]] divided by a stack of [[27/16|27/26]] and [[36/35]].
In terms of intervals, it can be viewed as the difference between [[77/72]] and a stack of [[27/16|27/26]] and [[36/35]].


== Temperaments ==
== Temperaments ==
It is tempered out in many edos such as {{Edos|5, 12e, 17, 19, 24, 27e, 41, 53, 72, 77, 80, 94, 118, 135, 152, 176, 217, 270, 311, 364...}} among others.
This comma is tempered out in many edos such as {{Edos| 5, 12e, 17, 19, 24, 27e, 41, 53, 72, 77, 80, 94, 118, 135, 152, 176, 217, 270, 311, 364, …}} among others.


As a result of that, it is also tempered out in any combination of them such as [[cassandra]], [[cotoneum]], [[newt]], [[hemiennealimmal]], [[gariwizmic]], among others.
As a result of that, it is also tempered out in any combination of them such as [[cassandra]], [[cotoneum]], [[newt]], [[hemiennealimmal]], [[gariwizmic]], [[cassaschismic]]... among others.


== Etymology ==
== Etymology ==
This comma was named by [[Eufalesio]] in early May 2026 after himself.
This comma was named by [[Eufalesio]] in early May 2026 after himself.
[[Category:Commas someone named after themselves]]

Latest revision as of 08:04, 4 May 2026

Interval information
Ratio 35035/34992
Factorization 2-4 × 3-7 × 5 × 72 × 11 × 13
Monzo [-4 -7 1 2 1 1
Size in cents 2.126125¢
Name eufalesma
Color name 3o1ozzyM, tholozozoyoma
FJS name [math]\displaystyle{ \text{d2}^{5,7,7,11,13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 30.1912
Weil norm (log2 max(n, d)) 30.193
Wilson norm (sopfr(nd)) 72
Comma size unnoticeable
Open this interval in xen-calc

35035/34992, the eufalesma, is an unnoticeable 13-limit comma. It arises as the difference between 17303/17280 and the kalisma.

It factors into different 13-limit commas such as:

In the 19-limit, it factors into (1540/1539)⋅(1729/1728).

In terms of intervals, it can be viewed as the difference between 77/72 and a stack of 27/26 and 36/35.

Temperaments

This comma is tempered out in many edos such as 5, 12e, 17, 19, 24, 27e, 41, 53, 72, 77, 80, 94, 118, 135, 152, 176, 217, 270, 311, 364, … among others.

As a result of that, it is also tempered out in any combination of them such as cassandra, cotoneum, newt, hemiennealimmal, gariwizmic, cassaschismic... among others.

Etymology

This comma was named by Eufalesio in early May 2026 after himself.