512/315: Difference between revisions

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{{Infobox Interval|Name=~~schisminic~~ tridecimal otonal sixth

{{Infobox Interval

septimal pseudotridecimal otonal sixth|Color name=srg6, sarugu 6th|Sound=}}512/315 is the sum of the tridecimal otonal sixth 13/8, and ~~the~~ [[4096/4095~~|schismina~~]]. Most Sagittal systems conflate both it and [[13/8]], via fudging in 13+ -limit JI, or tempering, leading to ~~schisminic~~ temperaments. As is the case of ~~schisminic~~ temperaments, tempering these two intervals together results in a lower rank approximation of prime 13, with negligible error.

| Name = minismic tridecimal otonal sixth, septimal pseudotridecimal otonal sixth

| Color name = srg6, sarugu 6th

| Sound =

}}

'''512/315''' is the sum of the tridecimal otonal sixth [[13/8]], and [[4096/4095]]. Most [[Sagittal]] systems conflate both it and [[13/8]], via fudging in [[13-limit]] [[JI]], or tempering, leading to minismic temperaments. As is the case of minismic temperaments, tempering these two intervals together results in a lower-rank approximation of prime 13, with negligible error.

In Sagittal, it (and likely also 13/8) is (are) represented with as a pyth major sixth minus the [[8505/8192|35 large diesis]] accidental. From C, the interval would be C - A{{sagittal|(!/}}.

In Sagittal, it (and likely also 13/8) is (are) represented with as a pyth major sixth minus the [[8505/8192|35 large diesis]] accidental. From C, the interval would be C - A{{sagittal|\!)}}.

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-{{Infobox Interval|Name=schisminic tridecimal otonal sixth
+{{Infobox Interval
-septimal pseudotridecimal otonal sixth|Color name=srg6, sarugu 6th|Sound=}}512/315 is the sum of the tridecimal otonal sixth 13/8, and the [[4096/4095|schismina]]. Most Sagittal systems conflate both it and [[13/8]], via fudging in 13+ -limit JI, or tempering, leading to schisminic temperaments. As is the case of schisminic temperaments, tempering these two intervals together results in a lower rank approximation of prime 13, with negligible error.
+| Name = minismic tridecimal otonal sixth, septimal pseudotridecimal otonal sixth
+| Color name = srg6, sarugu 6th
+| Sound =
+}}
+'''512/315''' is the sum of the tridecimal otonal sixth [[13/8]], and [[4096/4095]]. Most [[Sagittal]] systems conflate both it and [[13/8]], via fudging in [[13-limit]] [[JI]], or tempering, leading to minismic temperaments. As is the case of minismic temperaments, tempering these two intervals together results in a lower-rank approximation of prime 13, with negligible error.
-In Sagittal, it (and likely also 13/8) is (are) represented with as a pyth major sixth minus the [[8505/8192|35 large diesis]] accidental. From C, the interval would be C - A{{sagittal|(!/}}.
+In Sagittal, it (and likely also 13/8) is (are) represented with as a pyth major sixth minus the [[8505/8192|35 large diesis]] accidental. From C, the interval would be C - A{{sagittal|\!)}}.