28/25: Difference between revisions

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Added (septimal) to name according to 25-odd-limit, misc. edits, categories
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 28/25
| Ratio = 28/25
| Monzo = 2 0 -2 1
| Monzo = 2 0 -2 1
| Cents = 196.19848
| Cents = 196.19848
| Name = middle major second <br> middle whole tone
| Name = (septimal) middle major second <br> (septimal) middle whole tone
| Color name = zgg3, zogugu 3rd
| Color name = zgg3, zogugu 3rd
| Sound = jid_28_25_pluck_adu_dr220.mp3
| 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}}.
The '''middle whole tone''', '''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
* [[29/26]] – a co-mediant interval
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[25-odd-limit]]


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Interval ratio]]
[[Category:Just interval]]
[[Category:Second]]
[[Category:Second]]
[[Category:Whole tone]]
[[Category:Whole tone]]

Revision as of 14:10, 22 March 2022

Interval information
Ratio 28/25
Factorization 22 × 5-2 × 7
Monzo [2 0 -2 1
Size in cents 196.1985¢
Name (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 ¢.

See also