The 220.127.116.11 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.