2240/2187: Difference between revisions

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Tristanbay (talk | contribs)
m Added a link to the page for 20480/19683 (which I just created)
This interval has a simple name in Pythagorean-commatic naming
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{{Infobox Interval|Color name=sazoyo comma, sazoyo unison}}
{{Infobox Interval
| Name = septimal inframinor second, mint inframinor second
| Color name = sazoyo comma, sazoyo unison}}


2240/2187 is the difference between [[64/63]], Archytas' comma, and [[20480/19683]], the superpyth comma. While EDOs that temper out this comma usually also temper out the two aforementioned commas, somewhat interestingly, [[29edo]] only tempers out this one.
'''2240/2187''', the '''septimal inframinor second''' or '''mint inframinor second''', is a [[7-limit]] [[interval]] measuring about 41.5{{cent}}. It is the difference between [[64/63]], Archytas' comma, and [[20480/19683]], the superpyth comma. While [[edo]]s that temper out this comma usually also temper out the two aforementioned commas, somewhat interestingly, [[29edo]] only tempers out this one.
 
[[Category:Second]]
[[Category:Semitone]]

Revision as of 14:45, 19 October 2023

Interval information
Ratio 2240/2187
Factorization 26 × 3-7 × 5 × 7
Monzo [6 -7 1 1
Size in cents 41.45461¢
Names septimal inframinor second,
mint inframinor second
Color name sazoyo comma, sazoyo unison
FJS name [math]\displaystyle{ \text{m2}^{5,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 22.224
Weil height (log2 max(n, d)) 22.2586
Wilson height (sopfr(nd)) 45
Open this interval in xen-calc

2240/2187, the septimal inframinor second or mint inframinor second, is a 7-limit interval measuring about 41.5 ¢. It is the difference between 64/63, Archytas' comma, and 20480/19683, the superpyth comma. While edos that temper out this comma usually also temper out the two aforementioned commas, somewhat interestingly, 29edo only tempers out this one.