3969/3968: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = yunzee comma | | Name = yunzee comma | ||
| Color name = | | Color name = L31uzz2, lathiwuzozo 2nd,<br>Lathiwuzozo comma | ||
| Comma = yes | |||
| | |||
}} | }} | ||
The [[superparticular interval]] '''3969/3968''', the '''yunzee comma''', is an [[unnoticeable comma]] in the 2.3.7.31 subgroup, of about 0.43624 cents. It is also a metasuperparticular, being the difference between between [[63/62]] and [[64/63]]. | The [[superparticular interval]] '''3969/3968''', the '''yunzee comma''', is an [[unnoticeable comma]] in the 2.3.7.31 subgroup, of about 0.43624 cents. It is also a metasuperparticular, being the difference between between [[63/62]] and [[64/63]]. | ||
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Tempering it out within its subgroup leads to the very accurate (but still possibly sacrilegious) rank-3 [http://x31eq.com/cgi-bin/rt.cgi?limit=2_3_7_31&ets=130_306_171 yunzee temperament.] | Tempering it out within its subgroup leads to the very accurate (but still possibly sacrilegious) rank-3 [http://x31eq.com/cgi-bin/rt.cgi?limit=2_3_7_31&ets=130_306_171 yunzee temperament.] | ||
[[Category: | [[Category:Commas named after composers]] | ||
[[Category: | [[Category:Commas named after individuals]] | ||
Latest revision as of 03:02, 16 November 2024
| Interval information |
Lathiwuzozo comma
reduced
The superparticular interval 3969/3968, the yunzee comma, is an unnoticeable comma in the 2.3.7.31 subgroup, of about 0.43624 cents. It is also a metasuperparticular, being the difference between between 63/62 and 64/63.
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. Curiously, 3969/3968 turns out to be 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).
Tempering it out within its subgroup leads to the very accurate (but still possibly sacrilegious) rank-3 yunzee temperament.