65536/64827: Difference between revisions

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+name "buzzardsma" and explanation
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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 '''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]].
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]].  


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


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

Revision as of 13:47, 25 January 2025

Interval information
Ratio 65536/64827
Factorization 216 × 3-3 × 7-4
Monzo [16 -3 0 -4
Size in cents 18.83137¢
Names buzzardsma,
buzzard comma
Color name TBD
FJS name [math]\displaystyle{ \text{m}{-2}_{7,7,7,7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 31.9843
Weil norm (log2 max(n, d)) 32
Wilson norm (sopfr(nd)) 69
Comma size small
Open this interval in xen-calc

The buzzardsma or buzzard comma (monzo[16 -3 0 -4, ratio: 65536/64827) of 18.8 cents, 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.

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.