23/12: Difference between revisions

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23rd harmonic, not 13th
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = large vicesimotertial major seventh
| Ratio = 23/12
| Color name = 23o8, twetho 8ve
| Monzo = -2 -1 0 0 0 0 0 0 1
| Sound = Ji-23-12-csound-foscil-220hz.mp3
| Cents = 1126.31935
| Name = vicesimotertial major seventh
| Color name = 23o8, twenty-tho 8ve
| Sound =  
}}
}}
The <b>vicesimotertial major seventh</b> is a [[23-limit]] interval that is reached by going a justly tuned perfect twelve ([[3/1]], the 3rd harmonic) down from the 23th harmonic ([[23/1]]) and lifting the resulting ratio up to fit inside the octave.
 
[[Category:Interval]]
The '''large vicesimotertial major seventh''' is a [[23-limit]] interval that is reached by going a justly tuned perfect twelve ([[3/1]], the 3rd harmonic) down from the 23rd harmonic ([[23/1]]) and lifting the resulting ratio up to fit inside the octave.
[[Category:todo:expand]]
 
[[Category:23-limit]]
[[Category:Seventh]]
[[Category:Major seventh]]
 
{{todo|expand}}

Latest revision as of 03:32, 3 December 2024

Interval information
Ratio 23/12
Subgroup monzo 2.3.23 [-2 -1 1⟩
Size in cents 1126.319¢
Name large vicesimotertial major seventh
Color name 23o8, twetho 8ve
FJS name [math]\displaystyle{ \text{M7}^{23} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.10852
Weil height (log2 max(n, d)) 9.04712
Wilson height (sopfr(nd)) 30

[sound info]
Open this interval in xen-calc

The large vicesimotertial major seventh is a 23-limit interval that is reached by going a justly tuned perfect twelve (3/1, the 3rd harmonic) down from the 23rd harmonic (23/1) and lifting the resulting ratio up to fit inside the octave.

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