512/315: Difference between revisions
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{{Infobox Interval|Name= | {{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 | | 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|\!)}}. | ||
Latest revision as of 09:59, 3 March 2026
| Interval information |
septimal pseudotridecimal otonal sixth
reduced subharmonic
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 35 large diesis accidental. From C, the interval would be C - A.