441/440: Difference between revisions

Line 1:

{{Infobox Interval

~~| Icon =~~

| Ratio = 441/440

| Monzo = -3 2 -1 2 -1

Line 9:

Line 8:

| Sound =

}}

'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth. Tempering it out splits [[11/10]] into two even halves, equates 21/16 with [[55/42]] to create some interesting-sounding triads, and, makes [[werckismic chords]] possible.

'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth~~. It is also the difference between a stack of a [[10/9]] and an [[8/7]], and a single [[14/11]]~~. Tempering it out splits [[11/10]] into two even halves, equates 21/16 with [[55/42]] to create some interesting-sounding triads, and, makes [[werckismic chords]] possible.

== See also ==

* [[Werckismic chords]]

* [[Werckismic temperaments]]

* [[Rank-4 temperament]]

* [[Werckismic temperaments]], a collection of rank-3 temperaments where it is tempered out

* [[Small comma]]

* [[List of superparticular intervals]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
 | Ratio = 441/440
 | Monzo = -3 2 -1 2 -1
@@ Line 9: / Line 8: @@
 | Sound =
 }}
+'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth. Tempering it out splits [[11/10]] into two even halves, equates 21/16 with [[55/42]] to create some interesting-sounding triads, and, makes [[werckismic chords]] possible.
-'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth. It is also the difference between a stack of a [[10/9]] and an [[8/7]], and a single [[14/11]]. Tempering it out splits [[11/10]] into two even halves, equates 21/16 with [[55/42]] to create some interesting-sounding triads, and, makes [[werckismic chords]] possible.
 == See also ==
 * [[Werckismic chords]]
-* [[Werckismic temperaments]]
+* [[Rank-4 temperament]]
+* [[Werckismic temperaments]], a collection of rank-3 temperaments where it is tempered out
 * [[Small comma]]
 * [[List of superparticular intervals]]