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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| Color name = zzg3, zozogu 3rd | | Color name = zzg3, zozogu 3rd | ||
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'''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''' 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]]. It is also very close to 1 step of [[13edt]] (and 13edt in 3.5.7 subgroup consistently maps it). | ||
== Terminology == | == 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. | 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. | ||
Latest revision as of 04:31, 19 October 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. It is also very close to 1 step of 13edt (and 13edt in 3.5.7 subgroup consistently maps it).
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.