55/54: Difference between revisions

BudjarnLambeth (talk | contribs)
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BudjarnLambeth (talk | contribs)
Less detail about 432hz. We can include all that in a 432 Hz article if anyone is ever masochistic enough to make one.
 
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When treated as an interval in its own right, it acts as a sort of parachroma in much the same fashion as [[33/32]], from which it differs by a [[81/80|syntonic comma]].  However, given that it's noticeably smaller in size than 33/32, one can also easily use it in melodies as either an [[Wikipedia:Appoggiatura|appoggiatura]], an [[Wikipedia:Acciaccatura|acciaccatura]], or a quick passing tone. Tempering out the lehmerisma ([[3025/3024]]) equates this interval with [[56/55]], splitting the [[28/27]] septimal chroma into two equal halves.  Furthermore, when the [[385/384|keenanisma]] is tempered out, 55/54 is equated with [[64/63]], and it is partially on this basis that one can reasonably make the argument that 64/63 can act as the septimal equivalent for 55/54.
When treated as an interval in its own right, it acts as a sort of parachroma in much the same fashion as [[33/32]], from which it differs by a [[81/80|syntonic comma]].  However, given that it's noticeably smaller in size than 33/32, one can also easily use it in melodies as either an [[Wikipedia:Appoggiatura|appoggiatura]], an [[Wikipedia:Acciaccatura|acciaccatura]], or a quick passing tone. Tempering out the lehmerisma ([[3025/3024]]) equates this interval with [[56/55]], splitting the [[28/27]] septimal chroma into two equal halves.  Furthermore, when the [[385/384|keenanisma]] is tempered out, 55/54 is equated with [[64/63]], and it is partially on this basis that one can reasonably make the argument that 64/63 can act as the septimal equivalent for 55/54.


It is also the difference between the universally accepted 440 Hz pitch standard and the esoteric and non-scientific, but rather popular proposed 432 Hz pitch standard.
It is also the difference between the universally accepted 440 Hz pitch standard and the esoteric 432 Hz pitch standard.


== Sagittal notation ==
== Sagittal notation ==