28/25: Difference between revisions

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'''28/25'''
{{Infobox Interval
|2 0 -2 1>
| Name = (septimal) middle major second, (septimal) middle whole tone
| Color name = zgg3, zogugu 3rd
| Sound = jid_28_25_pluck_adu_dr220.mp3
}}
'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. 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{{cent}}, which is closely approximated by [[55edo]].


196.1985 cents
== See also ==
* [[25/14]] – its [[octave complement]]
* [[25/21]] – its [[fourth complement]]
* [[29/26]] – a co-mediant interval
* [[Gallery of just intervals]]
* [[25-odd-limit]]


[[File:jid_28_25_pluck_adu_dr220.mp3]] [[:File:jid_28_25_pluck_adu_dr220.mp3|sound sample]]
[[Category:Second]]
 
[[Category:Whole tone]]
The middle second, 28/25, is the interval between [[5/4|5/4]] and [[7/5|7/5]], and is intermediate in size between [[10/9|10/9]], which it is 126/125 sharp of, and [[9/8|9/8]], which it is 225/224 flat of. A [[Meantone|meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2 √14/5, or 698.099 cents.
[[Category:interval]]
[[Category:just_interval]]
[[Category:listen]]
[[Category:ratio]]
[[Category:second]]
[[Category:whole_tone]]

Latest revision as of 12:38, 9 June 2025

Interval information
Ratio 28/25
Factorization 22 × 5-2 × 7
Monzo [2 0 -2 1⟩
Size in cents 196.1985¢
Names (septimal) middle major second,
(septimal) middle whole tone
Color name zgg3, zogugu 3rd
FJS name [math]\displaystyle{ \text{d3}^{7}_{5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.45121
Weil height (log2 max(n, d)) 9.61471
Wilson height (sopfr(nd)) 21

[sound info]
Open this interval in xen-calc

28/25, the (septimal) middle whole tone, is the interval between 5/4 and 7/5, and is intermediate in size between 10/9, of which it is 126/125 sharp, and 9/8, of which it is 225/224 flat. 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 ¢, which is closely approximated by 55edo.

See also

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