65536/64827: Difference between revisions

Created page with "{{Infobox Interval | Ratio = 65536/64827 | Name = buzzard comma | Color name = TBD | Comma = yes }} The '''buzzard comma''' (monzo: {{monzo| 16 -3 -4 }}, ratio: 65536..."
 
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{{Infobox Interval
{{Infobox Interval
| Ratio = 65536/64827
| Ratio = 65536/64827
| Name = buzzard comma
| Name = buzzardsma, buzzard comma
| Color name = TBD
| Color name = TBD
| Comma = yes
| Comma = yes
}}
}}
The '''buzzardsma''' or '''buzzard comma''' ({{monzo|legend=1| 16 -3 0 -4 }}, [[ratio]]: 65536/64827) is a [[small comma|small]] [[7-limit]] (specifically 2.3.7-[[subgroup]]) [[comma]] measuring about 18.8 [[cent]]s. It is the amount by which a perfect twelfth ([[3/1]]) exceeds four grave fourths of [[21/16]].


The '''buzzard comma''' ([[monzo]]: {{monzo| 16 -3 -4 }}, [[ratio]]: 65536/64827) of 18.8 [[cent]]s, is the amount by which a perfect twelfth ([[3/1]]) exceeds four grave fourths of [[21/16]]. It is tempered out in [[buzzard]] systems such as [[53edo]] and [[111edo]]].
== Temperaments ==
This comma is tempered out in [[buzzard]] systems such as [[53edo]] and [[58edo]]. In fact, it is the comma singled out by restricting buzzard to the 2.3.7 subgroup. Tempering it out alone in the full 7-limit leads to the rank-3 '''buzzardsmic temperament''' instead. In either case, the perfect twelfth is split into four equal parts, each for 21/16. In addition, the [[256/243|Pythagorean limma (256/243)]] is also split into four, one for [[64/63]], two for [[49/48]], and three for [[28/27]].  


== Notes ==
== Etymology ==
The name ''buzzard'' was first used by [[Herman Miller]] in 2004 for the full 7-limit alternative extension to 5-limit [[vulture]]. The porting of the name to the 2.3.7 subgroup was relatively late. In 2021 [[User:Xenllium|Xenllium]] proposed ''buzzardisma'', and in 2025 it was decided that the 2.3.7-subgroup restriction of buzzard was canonical, which makes it ''buzzard comma''. The corresponding name for the full 7-limit temperament was therefore ''buzzardsmic'' and the comma was therefore ''buzzardsma''.


[[Category:Vulture]]
[[Category:Buzzardsmic]]
[[Category:Commas with unknown etymology]]
[[Category:Commas with unknown etymology]] <!-- until "vulture comma" is explained -->