49/45: Difference between revisions

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 {{Infobox Interval
-| JI glyph =
+| Name =
-| Ratio = 49/45
+| Color name = zzg3, zozogu 3rd
-| Monzo = 0 -2 -1 2
-| Cents = 147.428097
-| Name = swetismic neutral second
-| Color name =
-| FJS name =
-| Sound =
 }}
+'''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:Interval]]
+[[Category:Second]]
+[[Category:Neutral second]]
+[[Category:Third]]
+[[Category:Diminished third]]