2401/2400: Difference between revisions

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'''2401/2400''', the '''breedsma''', being the difference between [[49/48]] and [[50/49]], is a [[7-limit]] [[unnoticeable comma]]. It is tempered out in [[breedsmic temperaments]].
'''2401/2400''', the '''breedsma''', is a [[7-limit]] [[unnoticeable comma]]. It is the second smallest 7-limit [[superparticular]] comma, being the difference between [[49/48]] and [[50/49]], and between [[49/40]] and [[60/49]].  
 
It is tempered out in the rank-3 [[breed family]] and all rank-2 [[breedsmic temperaments]], all of which feature a neutral third interval for 49/40~60/49, and in which the classic chromatic semitone, [[25/24]], is split into two, each representing 49/48~50/49.  
 
== See also ==
* [[Breed family]]
* [[Breedsmic temperaments]]
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]


[[Category:Interval]]
[[Category:Interval]]
[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
 
[[Category:Superparticular]]
[[Category:todo:expand]]

Revision as of 06:50, 9 November 2020

Interval information
Ratio 2401/2400
Factorization 2-5 × 3-1 × 5-2 × 74
Monzo [-5 -1 -2 4
Size in cents 0.7211973¢
Name breedsma
FJS name [math]\displaystyle{ \text{dd3}^{7,7,7,7}_{5,5} }[/math]
Special properties square superparticular,
reduced
Tenney norm (log2 nd) 22.4582
Weil norm (log2 max(n, d)) 22.4588
Wilson norm (sopfr(nd)) 51
Open this interval in xen-calc

2401/2400, the breedsma, is a 7-limit unnoticeable comma. It is the second smallest 7-limit superparticular comma, being the difference between 49/48 and 50/49, and between 49/40 and 60/49.

It is tempered out in the rank-3 breed family and all rank-2 breedsmic temperaments, all of which feature a neutral third interval for 49/40~60/49, and in which the classic chromatic semitone, 25/24, is split into two, each representing 49/48~50/49.

See also