55/54: Difference between revisions

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| Name = undecimal diasecundal comma, <br> eleventyfive comma, <br> telepathma

| Color name = 1oy1 = loyo 1sn

| FJS name = P1<sup>55</sup>

| Sound =

}}

'''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}}.

'''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 the [[6/5|classic minor third (6/5)]] and the [[11/9|undecimal neutral third (11/9)]], between the [[5/4|classic major third (5/4)]] and the [[27/22|rastmic neutral third (27/22)]], as well as the difference between the [[55/32|keenanismic supermajor sixth (55/32)]] and the [[27/16|Pythagorean major sixth (27/16)]]. This means that 6/5 and 11/9 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 [[Diatonic, Chromatic, Enharmonic, Subchromatic|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 ==

* [[List of superparticular intervals]]

* [[Gallery of just intervals]]

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[[Category:Small comma]]

[[Category:Medium comma]]

[[Category:~~superparticular]]~~

[[Category:Superparticular]]

~~[[Category:Todo:expand~~]]

@@ Line 6: / Line 6: @@
 | Name = undecimal diasecundal comma, <br> eleventyfive comma, <br> telepathma
 | Color name = 1oy1 = loyo 1sn
+| FJS name = P1<sup>55</sup>
 | Sound =
 }}
-'''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}}.
+'''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 the [[6/5|classic minor third (6/5)]] and the [[11/9|undecimal neutral third (11/9)]], between the [[5/4|classic major third (5/4)]] and the [[27/22|rastmic neutral third (27/22)]], as well as the difference between the [[55/32|keenanismic supermajor sixth (55/32)]] and the [[27/16|Pythagorean major sixth (27/16)]]. This means that 6/5 and 11/9 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 [[Diatonic, Chromatic, Enharmonic, Subchromatic|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.
+When treated as an interval in its own right, it acts as a sort of [[Diatonic, Chromatic, Enharmonic, Subchromatic|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 ==
+* [[List of superparticular intervals]]
 * [[Gallery of just intervals]]
@@ Line 21: / Line 22: @@
 [[Category:Small comma]]
 [[Category:Medium comma]]
-[[Category:superparticular]]
+[[Category:Superparticular]]
-[[Category:Todo:expand]]