980/729: Difference between revisions

Line 3:

| Monzo = 2 -6 1 2

| Cents = 512.23552

| Name = sensamagic fourth

| Name = complex sensamagic fourth

| Color name = zzy5, zozoyo 5th

| FJS name = d5<sup>5, 49</sup>

Line 9:

}}

'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).

'''980/729''', the '''complex sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).

It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[~~Canovian~~ chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.

It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.

== See also ==

* [[729/490]] – its octave complement

* [[Gallery of just intervals]]

@@ Line 3: / Line 3: @@
 | Monzo = 2 -6 1 2
 | Cents = 512.23552
-| Name = sensamagic fourth
+| Name = complex sensamagic fourth
 | Color name = zzy5, zozoyo 5th
 | FJS name = d5<sup>5, 49</sup>
@@ Line 9: / Line 9: @@
 }}
-'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).
+'''980/729''', the '''complex sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).
-It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.
+It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.
 == See also ==
 * [[729/490]] – its octave complement
 * [[Gallery of just intervals]]