28/25: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenwolf (talk | contribs)
added see-also section, recat
Xenwolf (talk | contribs)
mentioned the actual mediant relation
Line 9: Line 9:
}}
}}


The '''middle second''', '''28/25''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], which it is [[126/125]] sharp of, and [[9/8]], which it is 225/224 flat of. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2 √14/5, or 698.099 cents.
The '''middle second''', '''28/25''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], which it is [[126/125]] sharp of, and [[9/8]], which it is 225/224 flat of. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2 √14/5, or 698.099 cents.


== See also ==
== See also ==


* [[25/14]] -- its octave complement
* [[25/14]] its octave complement
* [[29/26]] – a co-mediant interval
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]



Revision as of 09:57, 26 September 2020

Interval information
Ratio 28/25
Factorization 22 × 5-2 × 7
Monzo [2 0 -2 1
Size in cents 196.1985¢
Name middle major second
FJS name [math]\displaystyle{ \text{d3}^{7}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.45121
Weil norm (log2 max(n, d)) 9.61471
Wilson norm (sopfr(nd)) 21

[sound info]
Open this interval in xen-calc

The middle second, 28/25, is the interval between 5/4 and 7/5, and is intermediate in size between 10/9, which it is 126/125 sharp of, and 9/8, which it is 225/224 flat of. It's actually the mediant of 19/17 and 9/8. A meantone where the tone is tuned to be exactly 28/25 has a fifth of size 2 √14/5, or 698.099 cents.

See also