65536/64827: Difference between revisions
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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]]. | |||
== 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]]. | |||
== 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: | [[Category:Buzzardsmic]] | ||
[[Category:Commas with unknown etymology]] <!-- until "vulture comma" is explained --> | |||
Latest revision as of 09:34, 26 January 2025
| Interval information |
buzzard comma
reduced subharmonic
The buzzardsma or buzzard comma (monzo: [16 -3 0 -4⟩, ratio: 65536/64827) is a small 7-limit (specifically 2.3.7-subgroup) comma measuring about 18.8 cents. It is the amount by which a perfect twelfth (3/1) exceeds four grave fourths of 21/16.
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 Pythagorean limma (256/243) is also split into four, one for 64/63, two for 49/48, and three for 28/27.
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 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.