23/18: Difference between revisions

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Write basic explanation.
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| Monzo = -1 -2 0 0 0 0 0 0 1
| Monzo = -1 -2 0 0 0 0 0 0 1
| Cents = 424.36435
| Cents = 424.36435
| Name =  
| Name = Vicesimotertial Major Third
| Color name =  
| Color name =  
| FJS name =  
| FJS name =  
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'''23/18''' is a [[23-limit]] interval.
'''23/18''' is a [[23-limit]] interval that is the [[mediant]] between [[9/7]] and [[14/11]], giving it a character that is somewhere between the gentle undecimal thirds and the more strident septimal supermajor ones. It is decently represented by 6 steps of [[17edo]], and near perfectly by 29 steps of [[82edo]]. If used as a generator, it creates [[squares]] temperament.
 
[[36/23]] - it's octave compliment
[[27/23]] - it's fifth compliment


[[Category:Just interval]]
[[Category:Just interval]]
[[Category:23-limit]]
[[Category:23-limit]]
[[Category:Third]]


[[Category:todo:expand]]
[[Category:todo:expand]]

Revision as of 14:17, 26 February 2021

Interval information
Ratio 23/18
Subgroup monzo 2.3.23 [-1 -2 1
Size in cents 424.3643¢
Name Vicesimotertial Major Third
FJS name [math]\displaystyle{ \text{M3}^{23} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.69349
Weil norm (log2 max(n, d)) 9.04712
Wilson norm (sopfr(nd)) 31

[sound info]
Open this interval in xen-calc

23/18 is a 23-limit interval that is the mediant between 9/7 and 14/11, giving it a character that is somewhere between the gentle undecimal thirds and the more strident septimal supermajor ones. It is decently represented by 6 steps of 17edo, and near perfectly by 29 steps of 82edo. If used as a generator, it creates squares temperament.

36/23 - it's octave compliment 27/23 - it's fifth compliment