55/54: Difference between revisions
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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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{{Infobox Interval | {{Infobox Interval | ||
| Name = telepathma, undecimal diasecundal comma, eleventyfive comma | |||
| Color name = 1oy1, loyo 1sn, Loyo comma | |||
| Comma = yes | |||
| Name = undecimal diasecundal comma, | |||
| Color name = 1oy1 | |||
| | |||
}} | }} | ||
'''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 == | == See also == | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
== Notes == | |||
[[Category:Commas named for their regular temperament properties]] | |||
[[Category: | |||
Latest revision as of 01:56, 11 December 2024
| Interval information |
undecimal diasecundal comma,
eleventyfive comma
reduced
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. EDOs that temper out this interval include 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 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 appoggiatura, an 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 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 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 . The downward version is called 1/55C or 55C down and is represented by .
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[1]. It was named after the telepathy temperament, which tempers it out.