1445/1444: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

~~| Ratio = 1445/1444~~

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

~~| Cents = 1.19850~~

| Name = aureusma

| Color name =

| Color name = 19uu17ooy1, nunusosoyo unison

| ~~Sound~~ =

| Comma = yes

}}

'''1445/1444''', the '''aureusma''', is a [[19-limit]] [[unnoticeable comma]] measuring about 1.20 [[cent]]s. It is the difference between [[5/4]] and a stack of two [[19/17]]'s. It is also the difference between [[153/152]] and [[171/170]].

'''1445/1444''', the '''aureusma''', is a [[19-limit]] (also 2.5.17.19 [[subgroup]]) [[unnoticeable comma]] measuring about 1.20 [[cent]]s. It is the difference between [[5/4]] and a stack of two [[19/17]]'s. It is also the difference between [[153/152]] and [[171/170]].

~~The term comes from Latin ''~~[[~~Wiktionary~~: ~~aureus #Latin|aureus~~]]~~'', meaning golden, for its possible association with~~ [[~~golden meantone~~]].

== Commatic relations ==

This comma is the difference between the following superparticular pairs:

* [[153/152]] and [[171/170]]

* [[1156/1155]] and [[5776/5775]]

* [[1275/1274]] and [[10830/10829]]

It factors into the following superparticular pairs:

* [[2601/2600]] and [[3250/3249]]

* [[1540/1539]] and [[23409/23408]]

* [[1521/1520]] and [[28900/28899]]

== Temperaments ==

Tempering out this comma results in 5/4 being split into two 19/17's, and enables the essentially tempered ''~~'aureusmic chord'~~''.

Tempering out this comma in the 19-limit leads to the rank-7 '''aureusmic temperament''', or in the 2.5.17.19 subgroup, the rank-3 '''aureus temperament'''. In either case it results in 5/4 being split into two 19/17's, and enables the essentially tempered [[aureusmic chords]].

== Etymology ==

The aureusma was named by [[Flora Canou]] in 2021. It comes from Latin ''[[Wiktionary: aureus #Latin|aureus]]'' ("golden"), for its possible association with [[golden meantone]].

== See also ==

* [[Unnoticeable comma]]

* [[List of superparticular intervals]]

~~[[Category:Superparticular]]~~

~~[[Category:19-limit]]~~

~~[[Category:Unnoticeable comma]]~~

[[Category:Aureusmic]]

[[Category:Commas named by translating something into another language]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
-| Ratio = 1445/1444
-| Monzo = -2 0 1 0 0 0 2 -2
-| Cents = 1.19850
 | Name = aureusma
-| Color name =
+| Color name = 19uu17ooy1, nunusosoyo unison
-| Sound =
+| Comma = yes
 }}
-'''1445/1444''', the '''aureusma''', is a [[19-limit]] [[unnoticeable comma]] measuring about 1.20 [[cent]]s. It is the difference between [[5/4]] and a stack of two [[19/17]]'s. It is also the difference between [[153/152]] and [[171/170]].
+'''1445/1444''', the '''aureusma''', is a [[19-limit]] (also 2.5.17.19 [[subgroup]]) [[unnoticeable comma]] measuring about 1.20 [[cent]]s. It is the difference between [[5/4]] and a stack of two [[19/17]]'s. It is also the difference between [[153/152]] and [[171/170]].
-The term comes from Latin ''[[Wiktionary: aureus #Latin|aureus]]'', meaning golden, for its possible association with [[golden meantone]].
+== Commatic relations ==
+This comma is the difference between the following superparticular pairs:
+* [[153/152]] and [[171/170]]
+* [[1156/1155]] and [[5776/5775]]
+* [[1275/1274]] and [[10830/10829]]
+It factors into the following superparticular pairs:
+* [[2601/2600]] and [[3250/3249]]
+* [[1540/1539]] and [[23409/23408]]
+* [[1521/1520]] and [[28900/28899]]
 == Temperaments ==
-Tempering out this comma results in 5/4 being split into two 19/17's, and enables the essentially tempered '''aureusmic chord'''.
+Tempering out this comma in the 19-limit leads to the rank-7 '''aureusmic temperament''', or in the 2.5.17.19 subgroup, the rank-3 '''aureus temperament'''. In either case it results in 5/4 being split into two 19/17's, and enables the essentially tempered [[aureusmic chords]].
+== Etymology ==
+The aureusma was named by [[Flora Canou]] in 2021. It comes from Latin ''[[Wiktionary: aureus #Latin|aureus]]'' ("golden"), for its possible association with [[golden meantone]].
 == See also ==
 * [[Unnoticeable comma]]
+* [[List of superparticular intervals]]
-[[Category:Superparticular]]
-[[Category:19-limit]]
-[[Category:Unnoticeable comma]]
 [[Category:Aureusmic]]
+[[Category:Commas named by translating something into another language]]