364/363: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenllium (talk | contribs)
No edit summary
Eufalesio (talk | contribs)
Color name
 
(2 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = minor minthma, minor gentle comma
| Name = minor minthma, minor gentle comma
| Color name = 3o1uuz2, tholuluzo 2nd,<br>Tholuluzo comma
| Color name = 3o1uuzM, tholuluzoma
| Comma = yes
| Comma = yes
}}
}}
Line 25: Line 25:


== History and etymology ==
== History and etymology ==
This comma was known as the ''gentle comma'' from 2011. In 2022, [[Margo Schulter]] requested it should be changed to ''minor''/''lesser gentle comma'' to distinguish it from [[352/351]], which would gain the name ''major''/''greater gentle comma''. The ''minor minthma'' was also added to this comma in contrast to the ''major minthma'' of 352/351. Both commas were essential to define the [[gentle]] temperament.
This comma was known as the ''gentle comma'' from 2011. In 2022, [[Margo Schulter]] requested it should be changed to ''minor''/''lesser gentle comma'' to distinguish it from [[352/351]], which would gain the name ''major''/''greater gentle comma''.  
 
The ''minor minthma'' was also added to this comma in contrast to the ''major minthma'' of 352/351. Both commas were essential to define the [[gentle]] temperament. Gentle was named for the [[gentle region|gentle fifth]], a mild version of the [[superpyth]] fifth.  


== See also ==
== See also ==
Line 31: Line 33:


[[Category:Minor minthmic]]
[[Category:Minor minthmic]]
[[Category:Commas named for the intervals they stack]]
[[Category:Commas named for the generator of their temperament]]

Latest revision as of 16:08, 17 July 2026

Interval information
Ratio 364/363
Factorization 22 × 3-1 × 7 × 11-2 × 13
Monzo [2 -1 0 1 -2 1
Size in cents 4.762683 ¢
Names minor minthma,
minor gentle comma
Color name 3o1uuzM, tholuluzoma
FJS name [math]\displaystyle{ \text{m2}^{7,13}_{11,11} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 17.0116
Weil norm (log2 max(n, d)) 17.0156
Wilson norm (sopfr(nd)) 49
Comma size small
Open this interval in xen-calc

364/363, the minor minthma or minor gentle comma, is a small 13-limit no-5 comma measuring about 4.8 ¢. It is the amount by which an undecimal major third 14/11 and a tridecimal minor third 13/11 exceed a just perfect fifth 3/2.

Commatic relations

In terms of commas, it is the difference between the following superparticular pairs:

It factors into the following superparticular pairs:

Not to mention some nonsuperparticular but useful relations:

Temperaments

Tempering out this comma leads to a form of minor minthmic temperament (full 13-limit rank-5) or minorminth temperament (2.3.7.11.13 subgroup rank-4), which enables minor minthmic chords.

History and etymology

This comma was known as the gentle comma from 2011. In 2022, Margo Schulter requested it should be changed to minor/lesser gentle comma to distinguish it from 352/351, which would gain the name major/greater gentle comma.

The minor minthma was also added to this comma in contrast to the major minthma of 352/351. Both commas were essential to define the gentle temperament. Gentle was named for the gentle fifth, a mild version of the superpyth fifth.

See also