2401/2400: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenwolf (talk | contribs)
link septimal neutral thirds
m Cleanup
Line 12: Line 12:
'''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]].  
'''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]].  
== Temperaments ==
The breedsma 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 ==
== See also ==
* [[Breed family]]
* [[Breed family]], the rank-3 family where it is tempered out
* [[Breedsmic temperaments]]
* [[Breedsmic temperaments]], a collection of rank-2 temperaments where it is tempered out
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
Line 24: Line 25:
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:Superparticular]]
[[Category:Superparticular]]
[[Category:Breed]]

Revision as of 07:42, 6 June 2021

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 height (log2 nd) 22.4582
Weil height (log2 max(n, d)) 22.4588
Wilson height (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.

Temperaments

The breedsma 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