55/54: Difference between revisions

(19 intermediate revisions by 10 users not shown)

Line 1:

{{Infobox Interval

~~| Icon =~~

| Name = telepathma, undecimal diasecundal comma, eleventyfive comma

~~| Ratio = 55/54~~

| Color name = 1oy1, loyo 1sn, Loyo comma

~~| Monzo = -1 -3 1 0 1~~

| Comma = yes

~~| Cents = 31.76665~~

| Name = undecimal diasecundal comma ~~<br>~~ eleventyfive comma

| Color name = 1oy1 = loyo 1sn

| ~~Sound~~ =

}}

~~The~~ '''undecimal diasecundal comma''' or '''eleventyfive comma''' is an [[11-limit]] [[superparticular]] interval that marks the difference between [[5/3]], the major ~~sixth,~~ and [[18/11]], the ~~undecimal neutral~~ sixth~~. This means that~~ [[5/3]] and [[18/11]] are equated 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]].

'''55/54''', the '''telepathma''', otherwise known as the '''undecimal diasecundal comma''' or the '''eleventyfive comma''', is an [[11-limit]] [[superparticular]] interval that marks the difference between the classic minor third ([[6/5]]) and the undecimal neutral third ([[11/9]]), between the classic major third ([[5/4]]) and the rastmic neutral third ([[27/22]]), as well as the difference between the keenanismic supermajor sixth ([[55/32]]) and the 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 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 432 Hz pitch standard.

== Sagittal notation ==

In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | |\ }} and is called the '''55 comma''', or '''55C''' for short, because the simplest interval it notates is 55/1 = 5×11 (equiv. 55/32), as for example in C-A{{nbhsp}}{{sagittal | |\ }}. The downward version is called '''1/55C''' or '''55C down''' and is represented by {{sagittal| !/ }}.

== Etymology ==

The telepathma was presumably named by [[Gene Ward Smith]] in 2014 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13398 Small comma (Revision as of 21:55, 6 August 2014 by Wikispaces>genewardsmith)]. </ref>. It was named after the [[telepathy]] temperament, which tempers it out.

== See also ==

* [[List of superparticular intervals]]

* [[Gallery of just intervals]]

~~[[Category:11-limit]]~~

== Notes ==

~~[[Category:Interval ratio]]~~

~~[[Category:Small comma]]~~

~~[[Category:Medium comma]]~~

~~[[Category:superparticular]]~~

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

[[Category:Commas named for their regular temperament properties]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = telepathma, undecimal diasecundal comma, eleventyfive comma
-| Ratio = 55/54
+| Color name = 1oy1, loyo 1sn, Loyo comma
-| Monzo = -1 -3 1 0 1
+| Comma = yes
-| Cents = 31.76665
-| Name = undecimal diasecundal comma <br> eleventyfive comma
-| Color name = 1oy1 = loyo 1sn
-| Sound =
 }}
-The '''undecimal diasecundal comma''' or '''eleventyfive comma''' is an [[11-limit]] [[superparticular]] interval that marks the difference between [[5/3]], the major sixth, and [[18/11]], the undecimal neutral sixth. This means that [[5/3]] and [[18/11]] are equated 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]].
+'''55/54''', the '''telepathma''', otherwise known as the '''undecimal diasecundal comma''' or the '''eleventyfive comma''', is an [[11-limit]] [[superparticular]] interval that marks the difference between the classic minor third ([[6/5]]) and the undecimal neutral third ([[11/9]]), between the classic major third ([[5/4]]) and the rastmic neutral third ([[27/22]]), as well as the difference between the keenanismic supermajor sixth ([[55/32]]) and the 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 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 432 Hz pitch standard.
+== Sagittal notation ==
+In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | |\ }} and is called the '''55 comma''', or '''55C''' for short, because the simplest interval it notates is 55/1 = 5×11 (equiv. 55/32), as for example in C-A{{nbhsp}}{{sagittal | |\ }}. The downward version is called '''1/55C''' or '''55C down''' and is represented by {{sagittal| !/ }}.
+== Etymology ==
+The telepathma was presumably named by [[Gene Ward Smith]] in 2014 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13398 Small comma (Revision as of 21:55, 6 August 2014 by Wikispaces>genewardsmith)]. </ref>. It was named after the [[telepathy]] temperament, which tempers it out.
 == See also ==
+* [[List of superparticular intervals]]
 * [[Gallery of just intervals]]
-[[Category:11-limit]]
+== Notes ==
-[[Category:Interval ratio]]
-[[Category:Small comma]]
-[[Category:Medium comma]]
-[[Category:superparticular]]
-[[Category:Todo:expand]]
+[[Category:Commas named for their regular temperament properties]]