512/315 - Revision history

FloraC: Name change followup

2026-03-03T09:59:07Z

Name change followup

← Older revision		Revision as of 09:59, 3 March 2026
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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\|\!)}}.

Eufalesio: wrong sagittal

2025-10-02T18:06:13Z

wrong sagittal

← Older revision		Revision as of 18:06, 2 October 2025
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	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.		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.

	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\|\!)}}.

Eufalesio: Birth

2025-10-02T17:40:28Z

Birth

New page

{{Infobox Interval|Name=schisminic 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 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.

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|(!/}}.