28/25: Difference between revisions

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mentioned the actual mediant relation
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| Monzo = 2 0 -2 1
| Monzo = 2 0 -2 1
| Cents = 196.19848
| Cents = 196.19848
| Name = middle major second
| Name = middle major second <br> middle whole tone
| Color name =  
| Color name =  
| Sound = jid_28_25_pluck_adu_dr220.mp3
| Sound = jid_28_25_pluck_adu_dr220.mp3
}}
}}


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.
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 ==

Revision as of 01:20, 21 March 2021

Interval information
Ratio 28/25
Factorization 22 × 5-2 × 7
Monzo [2 0 -2 1⟩
Size in cents 196.1985¢
Name middle major second
middle whole tone
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

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

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