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 = | | 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]]. | |||
== 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: | [[Category:Third]] | ||
[[Category:Diminished third]] | |||
Latest revision as of 10:09, 20 July 2026
| Interval information |
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 inversions. It therefore functions as a diminished third, flat of the Pythagorean diminished third by a septimal comma and an aberschisma. Alternatively, if viewed as a second, it is flat of the whole tone by 405/392, the greenwoodma.
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.