28/27: Difference between revisions

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'''28/27'''
{{Infobox Interval
|2 -3 0 1>
| Icon =
| Ratio = 28/27
| Monzo = 2 -3 0 1
| Cents = 62.9609
| Name = septimal chroma, septimal third-tone
| Color name = z2, zo 2nd
| Sound = jid_28_27_pluck_adu_dr220.mp3
}}


62.9609 cents
The [[superparticular|superparticular]] interval 28/27 has the seventh triangular number as a numerator and is the difference between 15/14 and 10/9, 9/8 and 7/6, 9/7 and 4/3, 3/2 and 14/9, 12/7 and 16/9 and 9/5 and 28/25.
 
[[File:jid_28_27_pluck_adu_dr220.mp3]] [[:File:jid_28_27_pluck_adu_dr220.mp3|sound sample]]
 
The septimal chroma or septimal third-tone is the [[superparticular|superparticular]] interval 28/27, which has the seventh triangular number as a numerator and which is the difference between 15/14 and 10/9, 9/8 and 7/6, 9/7 and 4/3, 3/2 and 14/9, 12/7 and 16/9 and 9/5 and 28/25.


[http://en.wikipedia.org/wiki/Septimal_third-tone http://en.wikipedia.org/wiki/Septimal_third-tone]
[http://en.wikipedia.org/wiki/Septimal_third-tone http://en.wikipedia.org/wiki/Septimal_third-tone]

Revision as of 04:18, 23 October 2018

Interval information
Ratio 28/27
Factorization 22 × 3-3 × 7
Monzo [2 -3 0 1⟩
Size in cents 62.9609¢
Names septimal chroma,
septimal third-tone
Color name z2, zo 2nd
FJS name [math]\displaystyle{ \text{m2}^{7} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 9.56224
Weil height (log2 max(n, d)) 9.61471
Wilson height (sopfr(nd)) 20

[sound info]
Open this interval in xen-calc

The superparticular interval 28/27 has the seventh triangular number as a numerator and is the difference between 15/14 and 10/9, 9/8 and 7/6, 9/7 and 4/3, 3/2 and 14/9, 12/7 and 16/9 and 9/5 and 28/25.

http://en.wikipedia.org/wiki/Septimal_third-tone

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