729/722: Difference between revisions

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Created page with "{{Infobox Interval | Name = undevicesimal diaschisma | Color name = L19uu-2, <br>lanunu negative 2nd, <br>Lanunu comma | Comma = yes }} '''729/722''' is a 19-limit interv..."
 
Add the undevicesimal tritones 27/19 and 38/27
 
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'''729/722''' is a [[19-limit]] interval measuring about 16.7¢. It forms the difference between two [[27/19]]s and an [[octave]], so it can be described as '''undevicesimal diaschisma'''.
'''729/722''' is a [[19-limit]] interval measuring about 16.7¢. It forms the difference between two [[27/19]]s and an [[octave]], as well as between the undevicesimal tritones [[27/19]] and [[38/27]], so it can be described as '''undevicesimal diaschisma'''. It also forms the difference between [[81/76]] and [[19/18]], two [[19/18]]s and one [[9/8]], or even the superparticular pair, [[81/80]] and [[361/360]].


== See also ==
== See also ==
* [[Small comma]]
* [[Small comma]]
* [[Diaschisma|2048/2025]] – 5-limit diaschisma
[[Category:Commas named after their interval size]]

Latest revision as of 05:52, 23 December 2024

Interval information
Ratio 729/722
Subgroup monzo 2.3.19 [-1 6 -2
Size in cents 16.70397¢
Name undevicesimal diaschisma
Color name L19uu-2,
lanunu negative 2nd,
Lanunu comma
FJS name [math]\displaystyle{ \text{d}{-2}_{19,19} }[/math]
Special properties reduced
Tenney norm (log2 nd) 19.0056
Weil norm (log2 max(n, d)) 19.0196
Wilson norm (sopfr(nd)) 58
Comma size small
S-expression S17⋅S182
Open this interval in xen-calc

729/722 is a 19-limit interval measuring about 16.7¢. It forms the difference between two 27/19s and an octave, as well as between the undevicesimal tritones 27/19 and 38/27, so it can be described as undevicesimal diaschisma. It also forms the difference between 81/76 and 19/18, two 19/18s and one 9/8, or even the superparticular pair, 81/80 and 361/360.

See also