729/490: Difference between revisions

Line 3:

| Monzo = -1 6 -1 -2

| Cents = 687.76448

| Name = sensamagic fifth

| Name = complex sensamagic fifth

| Color name = rrg4, rurugu 4th

| FJS name = A4<sub>5,49</sub>

Line 9:

}}

'''729/490''', the '''sensamagic fifth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]].

'''729/490''', the '''complex sensamagic fifth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]].

It arises in just intonation as the difference between the semidiminished fourth [[35/27]] and the supermajor seventh [[27/14]], making it a critical tempering target in the [[~~Canovian~~ chord]]. However, its distinction from 3/2 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 semidiminished fourth [[35/27]] and the supermajor seventh [[27/14]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 3/2 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.

== See also ==

* [[980/729]] – its octave complement

* [[Gallery of just intervals]]

@@ Line 3: / Line 3: @@
 | Monzo = -1 6 -1 -2
 | Cents = 687.76448
-| Name = sensamagic fifth
+| Name = complex sensamagic fifth
 | Color name = rrg4, rurugu 4th
 | FJS name = A4<sub>5,49</sub>
@@ Line 9: / Line 9: @@
 }}
-'''729/490''', the '''sensamagic fifth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]].
+'''729/490''', the '''complex sensamagic fifth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]].
-It arises in just intonation as the difference between the semidiminished fourth [[35/27]] and the supermajor seventh [[27/14]], making it a critical tempering target in the [[Canovian chord]]. However, its distinction from 3/2 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 semidiminished fourth [[35/27]] and the supermajor seventh [[27/14]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 3/2 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.
 == See also ==
 * [[980/729]] – its octave complement
 * [[Gallery of just intervals]]