65536/64827

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]\text{m}{-2}_{7,7,7,7}[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	31.9843
Weil height (log2 max(n, d))	32
Wilson height (sopfr(nd))	69
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~3.59664 bits
Comma size	small
open this interval in xen-calc

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.