364/363: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = minor minthma, minor gentle comma

~~| Ratio = 364/363~~

| Color name = 3o1uuzM, tholuluzoma

~~| Monzo = 2 -1 0 1 -2 1~~

| Comma = yes

~~| Cents = 4.7627~~

| Name = gentle comma

| Color name =

~~| FJS name = m2<sup>7~~, ~~13</sup><sub>121</sub>~~

| ~~Sound~~ =

}}

'''364/363''', the '''minor minthma''' or '''minor gentle comma''', is a [[small comma|small]] [[13-limit]] no-5 [[comma]] measuring about 4.8{{cent}}. 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]].

~~The~~ '''~~gentle comma~~''', '''~~364/363~~''', ~~is a~~ [[13-~~limit~~]] ~~no-5~~ [[comma]] ~~measuring about 4~~.~~8 cents~~. ~~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~~]]~~. Tempering it out leads to the rank-five gentle temperament~~.

== Commatic relations ==

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

* [[91/90]] and [[121/120]]

* [[243/242]] and [[729/728]]

* [[325/324]] and [[3025/3024]]

* [[351/350]] and [[9801/9800]]

* [[352/351]] and [[10648/10647]]

It factors into the following superparticular pairs:

* [[385/384]] and [[6656/6655]]

* [[441/440]] and [[2080/2079]]

Not to mention some nonsuperparticular but useful relations:

* [[676/675]] and [[1575/1573]]

== 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 region|gentle fifth]], a mild version of the [[superpyth]] fifth.

== See also ==

* [[~~Gentle chords]]~~

* [[List of superparticular intervals]]

* [[Comma]]

[[Category:~~13-limit~~]]

[[Category:Minor minthmic]]

[[Category:~~Comma~~]]

[[Category:Commas named for the intervals they stack]]

[[Category:~~Ratio]]~~

[[Category:Commas named for the generator of their temperament]]

~~[[Category:Gentle~~]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = minor minthma, minor gentle comma
-| Ratio = 364/363
+| Color name = 3o1uuzM, tholuluzoma
-| Monzo = 2 -1 0 1 -2 1
+| Comma = yes
-| Cents = 4.7627
-| Name = gentle comma
-| Color name =
-| FJS name = m2<sup>7, 13</sup><sub>121</sub>
-| Sound =
 }}
+'''364/363''', the '''minor minthma''' or '''minor gentle comma''', is a [[small comma|small]] [[13-limit]] no-5 [[comma]] measuring about 4.8{{cent}}. 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]].
-The '''gentle comma''', '''364/363''', is a [[13-limit]] no-5 [[comma]] measuring about 4.8 cents. 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]]. Tempering it out leads to the rank-five gentle temperament.
+== Commatic relations ==
+In terms of commas, it is the difference between the following superparticular pairs:
+* [[91/90]] and [[121/120]]
+* [[243/242]] and [[729/728]]
+* [[325/324]] and [[3025/3024]]
+* [[351/350]] and [[9801/9800]]
+* [[352/351]] and [[10648/10647]]
+It factors into the following superparticular pairs:
+* [[385/384]] and [[6656/6655]]
+* [[441/440]] and [[2080/2079]]
+Not to mention some nonsuperparticular but useful relations:
+* [[676/675]] and [[1575/1573]]
+== 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 region|gentle fifth]], a mild version of the [[superpyth]] fifth.
 == See also ==
-* [[Gentle chords]]
+* [[List of superparticular intervals]]
-* [[Comma]]
-[[Category:13-limit]]
+[[Category:Minor minthmic]]
-[[Category:Comma]]
+[[Category:Commas named for the intervals they stack]]
-[[Category:Ratio]]
+[[Category:Commas named for the generator of their temperament]]
-[[Category:Gentle]]

364/363: Difference between revisions

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