55/54: Difference between revisions
No edit summary |
No edit summary |
||
| Line 11: | Line 11: | ||
'''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 [[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 | 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 == | == See also == | ||
Revision as of 22:30, 23 December 2020
| Interval information |
eleventyfive comma,
telepathma
reduced
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. 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 subchroma, much like 33/32, from which it differs by a syntonic comma. Tempering out the lehmerisma 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.