1225/1224: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 1225/1224
| Monzo = -3 -2 2 2 0 0 -1
| Cents = 1.41383
| Name = noellisma
| Name = noellisma
| Color name =17uzzyy1, subizoyo unison
| Color name = 17uzzyy1, subizoyo unison
| Sound =  
| Comma = yes
}}
}}
'''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]].  
'''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]].  
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* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:17-limit]]
[[Category:Unnoticeable commas]]
[[Category:Superparticular]]
[[Category:Noellismic]]
[[Category:Noellismic]]

Revision as of 14:05, 25 October 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
Color name 17uzzyy1, subizoyo unison
FJS name [math]\displaystyle{ \text{A1}^{5,5,7,7}_{17} }[/math]
Special properties square superparticular,
reduced
Tenney norm (log2 nd) 20.516
Weil norm (log2 max(n, d)) 20.5171
Wilson norm (sopfr(nd)) 53
Comma size unnoticeable
S-expressions S35,
S49⋅S50
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