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Tempering out this comma leads to a form of '''major minthmic temperament''' (full 13-limit rank-5) or '''majorminth temperament''' (2.3.11.13 subgroup rank-3), which enables [[major minthmic chords]].  
Tempering out this comma leads to a form of '''major minthmic temperament''' (full 13-limit rank-5) or '''majorminth temperament''' (2.3.11.13 subgroup rank-3), which enables [[major minthmic chords]].  


== Sagittal notation ==
== Notation ==
=== Sagittal notation ===
In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal | !( }} and is called the '''13/11 kleisma''', or '''13/11k''' for short, because the simplest interval it notates is 13/11, as for example in D-F{{nbhsp}}{{sagittal | !( }}. The primary role of {{ sagittal | !( }} is [[5120/5103#Sagittal notation | 5103/5120]] (7/5k). The upward version is called '''11/13k''' or '''13/11k up''' and is represented (in a secondary role) by {{sagittal| |( }}.
In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal | !( }} and is called the '''13/11 kleisma''', or '''13/11k''' for short, because the simplest interval it notates is 13/11, as for example in D-F{{nbhsp}}{{sagittal | !( }}. The primary role of {{ sagittal | !( }} is [[5120/5103#Sagittal notation | 5103/5120]] (7/5k). The upward version is called '''11/13k''' or '''13/11k up''' and is represented (in a secondary role) by {{sagittal| |( }}.


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This comma was known as the ''minthma'' from 2011. The word ''minthma'' is a contraction of ''minor thirds comma'' into a single word. In 2022, [[Margo Schulter]] requested it should be changed to ''major''/''greater minthma'' to distinguish it from [[364/363]], which would gain the name ''minor''/''lesser minthma''.  
This comma was known as the ''minthma'' from 2011. The word ''minthma'' is a contraction of ''minor thirds comma'' into a single word. In 2022, [[Margo Schulter]] requested it should be changed to ''major''/''greater minthma'' to distinguish it from [[364/363]], which would gain the name ''minor''/''lesser minthma''.  


The ''major gentle comma'' was also added to this comma in contrast to the ''minor gentle comma'' of 364/363. Both commas were essential to define the [[gentle]] temperament. The reason why the temperament was named “gentle” in the first place does not appear to be written down anywhere.
The ''major gentle comma'' was also added to this comma in contrast to the ''minor gentle comma'' of 364/363. Both commas were essential to define the [[gentle]] temperament. Gentle is named for the [[gentle region|gentle fifth]], a mild version of the [[superpyth]] fifth.  


== See also ==
== See also ==
* [[Small comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:Major minthmic]]
[[Category:Major minthmic]]
[[Category:Commas named for the intervals they stack]]
[[Category:Commas named for the intervals they stack]]
[[Category:Commas with unknown etymology]]
[[Category:Commas named for the generator of their temperament]]