3969/3968: Difference between revisions

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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 ~~tuning~~ used in [[La Monte Young|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.)

The 2.3.7.31 subgroup is notable for being the basis of the [[Young-lm piano-1964|first]] [[Young-lm piano-1973|tunings]] used in [[La Monte Young|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.)

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.]

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 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 tuning used in [[La Monte Young|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.)
+The 2.3.7.31 subgroup is notable for being the basis of the [[Young-lm piano-1964|first]] [[Young-lm piano-1973|tunings]] used in [[La Monte Young|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.)
 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.]