65536/64827: Difference between revisions

+name "buzzardsma" and explanation
m Fix the opening sentence
 
(One intermediate revision by the same user not shown)
Line 5: Line 5:
| 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 '''buzzardsma''' or '''buzzard comma''' ({{monzo|legend=1| 16 -3 0 -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]].  


== Temperaments ==
== Temperaments ==
This comma is tempered out in [[buzzard]] systems such as [[53edo]] and [[58edo]].
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 ==
== Etymology ==