70/69: Difference between revisions

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Created page with "{{Infobox Interval}} 70/69 is a 23-limit interval. == Temperaments == It is close to one step of 48edo, and the comma associating it with 1\48 is tempered out in notable..."
 
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{{Infobox Interval}}
{{Infobox Interval
70/69 is a 23-limit interval.  
| Name = small vicesimotertial 1/8-tone
| Color name = 23uzy1, twethuzoyo 1sn, <br>Twethuzoyo comma
| Comma = yes
}}
 
'''70/69''' is a [[superparticular]] interval of about 24.9¢ which makes the difference between [[6/5]] and [[28/23]] in [[23-limit]] [[just intonation]]; it is also the difference between [[7/6]] and [[23/20]].
== Temperaments ==
== Temperaments ==
It is close to one step of [[48edo]], and the comma associating it with 1\48 is tempered out in notable high-prime-limit systems like [[624edo]] and [[4320edo]].
It is close to one step of [[48edo]], and the comma associating it with 1\48 is tempered out in notable high-prime-limit systems like [[624edo]] and [[4320edo]].
== See also ==
* [[Small comma]]
* [[List of superparticular intervals]]

Revision as of 10:00, 16 November 2023

Interval information
Ratio 70/69
Subgroup monzo 2.3.5.7.23 [1 -1 1 1 -1
Size in cents 24.91027¢
Name small vicesimotertial 1/8-tone
Color name 23uzy1, twethuzoyo 1sn,
Twethuzoyo comma
FJS name [math]\displaystyle{ \text{m2}^{5,7}_{23} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 12.2378
Weil height (log2 max(n, d)) 12.2586
Wilson height (sopfr(nd)) 40
Comma size small
Open this interval in xen-calc

70/69 is a superparticular interval of about 24.9¢ which makes the difference between 6/5 and 28/23 in 23-limit just intonation; it is also the difference between 7/6 and 23/20.

Temperaments

It is close to one step of 48edo, and the comma associating it with 1\48 is tempered out in notable high-prime-limit systems like 624edo and 4320edo.

See also