1225/1224: Difference between revisions

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+comma identities
Inserted a few letters to the name :D cuz it's more relatable
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| Monzo = -3 -2 2 2 0 0 -1
| Monzo = -3 -2 2 2 0 0 -1
| Cents = 1.41383
| Cents = 1.41383
| Name = noema
| Name = noellisma
| Color name =
| Color name =
| Sound =  
| Sound =  
}}
}}
'''1225/1224''', the '''noema''', is a [[17-limit]] (also 2.3.5.7.17 subgroup) [[comma]] measuring about 1.41 [[cent]]s. It is the difference between [[35/34]] and [[36/35]], and between [[49/48]] and [[51/50]].  
'''1225/1224''', the '''noellisma''', is a [[17-limit]] (also 2.3.5.7.17 subgroup) [[comma]] measuring about 1.41 [[cent]]s. It is the difference between [[35/34]] and [[36/35]], and between [[49/48]] and [[51/50]].  


In terms of commas, it is the difference between the following pairs:  
In terms of commas, it is the difference between the following pairs:  
Line 26: Line 26:
* [[1701/1700]] and [[4375/4374]]
* [[1701/1700]] and [[4375/4374]]
* [[1275/1274]] and [[31213/31212]]
* [[1275/1274]] and [[31213/31212]]
The name derives from ''Noel'', for the numerator or the denominator, when written in decimal system, is reminiscent of the date of Christmas.


== Temperaments ==
== Temperaments ==
Tempering out this comma results in [[18/17]] being split into two equal parts, each representing 35/34~36/35, and enables the [[25-odd-limit]] essentially tempered '''noemic chords'''.  
Tempering out this comma results in [[18/17]] being split into two equal parts, each representing 35/34~36/35.  


== See also ==
== See also ==
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[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:Superparticular]]
[[Category:Superparticular]]
[[Category:Noemic]]
[[Category:Noellismic]]

Revision as of 11:54, 25 January 2022

Interval information
Ratio 1225/1224
Factorization 2-3 × 3-2 × 52 × 72 × 17-1
Monzo [-3 -2 2 2 0 0 -1
Size in cents 1.413829¢
Name noellisma
FJS name [math]\displaystyle{ \text{A1}^{5,5,7,7}_{17} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 20.516
Weil height (log2 max(n, d)) 20.5171
Wilson height (sopfr(nd)) 53
Open this interval in xen-calc

1225/1224, the noellisma, is a 17-limit (also 2.3.5.7.17 subgroup) comma measuring about 1.41 cents. It is the difference between 35/34 and 36/35, and between 49/48 and 51/50.

In terms of commas, it is the difference between the following pairs:

It factors into the following pairs:

The name derives from Noel, for the numerator or the denominator, when written in decimal system, is reminiscent of the date of Christmas.

Temperaments

Tempering out this comma results in 18/17 being split into two equal parts, each representing 35/34~36/35.

See also