49/45: Difference between revisions

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Discourage this name, which invokes the 11-limit for a 7-limit interval. + how to conceptualize it in the 7-limit
 
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{{Infobox Interval
{{Infobox Interval
| Name = swetismic neutral second
| Name =  
| Color name = zzg3, zozogu 3rd
| Color name = zzg3, zozogu 3rd
}}
}}
'''49/45''' is a [[7-limit]] interval. It appears as the interval between [[15/14]] and [[7/6]] as well as [[9/7]] and [[7/5]], and their [[octave complement|inversions]]. It therefore functions as a diminished third, flat of the [[65536/59049|Pythagorean diminished third]] by a [[septimal comma]] and an [[aberschisma]]. Alternatively, if viewed as a second, it is flat of the [[9/8|whole tone]] by 405/392, the [[greenwoodma]].


'''49/45''', the '''swetismic neutral second''', is [[540/539]] (3.2 cents) flatter than [[12/11]], and appears in [[7-limit]] scales as the interval between [[15/14]] and [[7/6]] as well as [[9/7]] and [[7/5]], and their inversions. It therefore represents one of the ways approximate [[11-limit]] harmony appears in 7-limit scales.
== Terminology ==
This interval has been called the ''swetismic neutral second'', viewed as being fudged from [[12/11]] by [[540/539]] (3.21 cents), which  represents one of the ways approximate [[11-limit]] harmony appears in 7-limit scales.  


[[Category:Second]]
[[Category:Second]]
[[Category:Neutral second]]
[[Category:Neutral second]]
[[Category:Swetismic]]
[[Category:Third]]
[[Category:Diminished third]]