55/54: Difference between revisions

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'''55/54''', the '''undecimal diasecundal comma''', otherwise known as the '''eleventyfive comma''' or the '''telepathma''', is an [[11-limit]] [[superparticular]] interval that marks the difference between [[5/3]], the classic major sixth, and [[18/11]], the undecimal neutral sixth, as well as the difference between [[55/32]], the keenanismic supermajor sixth, and [[27/16]], the Pythagorean major sixth. This means that [[5/3]] and [[18/11]] are equated- as are [[55/32]] and [[27/16]]- when this comma is tempered out. [[EDO]]s that temper out this interval include {{EDOs| 5, 7, 8, 10, 15, 17, 22, 27, 29, 30, 32, 37, 42, 44, 51, 54, 59 and 66}}.

When treated as an interval in its own right, it acts as a sort of ~~chroma~~, much like [[33/32]], from which it differs by a [[81/80|syntonic comma]]. Tempering out the [[3025/3024|lehmerisma]] 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 subchroma, much like [[33/32]], from which it differs by a [[81/80|syntonic comma]]. Tempering out the [[3025/3024|lehmerisma]] 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.

== See also ==

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 '''55/54''', the '''undecimal diasecundal comma''', otherwise known as the '''eleventyfive comma''' or the '''telepathma''', is an [[11-limit]] [[superparticular]] interval that marks the difference between [[5/3]], the classic major sixth, and [[18/11]], the undecimal neutral sixth, as well as the difference between [[55/32]], the keenanismic supermajor sixth, and [[27/16]], the Pythagorean major sixth. This means that [[5/3]] and [[18/11]] are equated- as are [[55/32]] and [[27/16]]- when this comma is tempered out.  [[EDO]]s that temper out this interval include {{EDOs| 5, 7, 8, 10, 15, 17, 22, 27, 29, 30, 32, 37, 42, 44, 51, 54, 59 and 66}}.
-When treated as an interval in its own right, it acts as a sort of chroma, much like [[33/32]], from which it differs by a [[81/80|syntonic comma]].  Tempering out the [[3025/3024|lehmerisma]] 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 subchroma, much like [[33/32]], from which it differs by a [[81/80|syntonic comma]].  Tempering out the [[3025/3024|lehmerisma]] 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.
 == See also ==