2240/2187: Difference between revisions

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'''2240/2187''', the '''septimal inframinor second''' or '''mint inframinor second''', is a [[7-limit]] [[interval]] measuring about 41.5{{cent}}. It is flat of the [[256/243|Pythagorean minor second]] by a [[36/35|septimal quartertone]]. Equivalently, 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.
'''2240/2187''', the '''septimal inframinor second''' or '''mint inframinor second''', is a [[7-limit]] [[interval]] measuring about 41.5{{cent}}. It is flat of the [[256/243|Pythagorean minor second]] by a [[36/35|septimal quartertone]]. Equivalently, it is flat of [[20480/19683]], the retroptolemaic minor second, by [[64/63]], an Archytas' comma, and flat of [[28/27]], the septimal minor second, by [[81/80]], a syntonic comma.  


== Temperaments ==
This interval is treated as a [[comma]] and is [[tempering out|tempered out]] in rank-2 temperaments such as [[superpyth]], [[sharptone]], and [[porky]].
[[Category:Mint]]
[[Category:Second]]
[[Category:Second]]
[[Category:Semitone]]
[[Category:Semitone]]

Latest revision as of 06:43, 1 May 2026

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 2nd, szy2,
Sazoyo comma
FJS name [math]\displaystyle{ \text{m2}^{5,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 22.224
Weil norm (log2 max(n, d)) 22.2586
Wilson norm (sopfr(nd)) 45
Comma size medium
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 flat of the Pythagorean minor second by a septimal quartertone. Equivalently, it is flat of 20480/19683, the retroptolemaic minor second, by 64/63, an Archytas' comma, and flat of 28/27, the septimal minor second, by 81/80, a syntonic comma.

Temperaments

This interval is treated as a comma and is tempered out in rank-2 temperaments such as superpyth, sharptone, and porky.