1225/1224: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Created page with "{{Infobox Interval | Icon = | Ratio = 1225/1224 | Monzo = -3 -2 2 2 0 0 -1 | Cents = 1.41383 | Name = noema | Color name = | Sound = }} '''1225/1224''', the '''noema''', is..."
 
+comma identities
Line 8: Line 8:
| 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]].  
'''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]].  
 
In terms of commas, it is the difference between the following pairs:
* [[273/272]] and [[351/350]]
* [[325/324]] and [[442/441]]
* [[375/374]] and [[540/539]]
* [[385/384]] and [[561/560]]
* [[595/594]] and [[1156/1155]]
* [[625/624]] and [[1275/1274]]
* [[715/714]] and [[1716/1715]]
* [[833/832]] and [[2601/2600]]
* [[1089/1088]] and [[9801/9800]]
 
It factors into the following pairs:
* [[2401/2400]] and [[2500/2499]]
* [[2058/2057]] and [[3025/3024]]
* [[1701/1700]] and [[4375/4374]]
* [[1275/1274]] and [[31213/31212]]


== Temperaments ==
== Temperaments ==

Revision as of 19:19, 1 November 2021

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 noema
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 noema, 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:

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.

See also