55/54: Difference between revisions
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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]]. | 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]]. 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 19:09, 4 October 2020
| Interval information |
eleventyfive comma
reduced
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. 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 chroma much like 33/32, from which it differs by a syntonic comma. 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.