3969/3968

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 3969/3968
Monzo [-7 4 0 2 0 0 0 0 0 0 -1
Size in cents 0.43624
Name(s) yunzee comma
Color name large thiwuzozo 2nd (L31uzz2)
FJS name m24931
open this interval in xen-calc

The superparticular interval 3969/3968, the yunzee comma, is an unnoticeable comma in the 2.3.7.31 subgroup, of about 0.43624 cents.

The 2.3.7.31 subgroup is notable for being the basis of the first tunings used in La Monte Young's The Well-Tuned Piano, before it was changed to eliminate 31-based intervals. Interestingly, 3969/3968 is the difference between several complex intervals in the later tuning and simpler 31-based intervals, such as 189/128 and 31/21, 567/512 and 31/28, 1323/1024 and 31/24, etc. Thus it is named for the stressed syllables in both Young's surname and that of his wife, Marian Zazeela (who provided the light art for WTP performances). 3969/3968 is also the difference between 63/62 and 64/63.

Tempering it out within its subgroup leads to the very accurate (but still possibly sacrilegious) rank-3 yunzee temperament.