User:BudjarnLambeth/74zpi: Difference between revisions
Created page with "{{Editable user page}} '''74 zeta peak index''' (abbreviated '''74zpi'''), is the equal-step tuning system obtained from the 74th peak of the Riemann zeta function. {{ZPI | zpi = 42 | steps = 13.9002525327005 | step size = 86.3293668353859 | height = 4.592177 | integral = 0.984037 | gap = 14.097244 | edo = 14edo | octave = 1208.61113569540 | consistent = 7 | distinct = 5 }} == Theory..." |
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'''74 zeta peak index''' (abbreviated '''74zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 74th [[Zeta peak index|peak]] of the [[The Riemann zeta function and tuning|Riemann zeta function]]. | '''74 zeta peak index''' (abbreviated '''74zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 74th [[Zeta peak index|peak]] of the [[The Riemann zeta function and tuning|Riemann zeta function]]. | ||
== Theory == | == Theory == | ||
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{{Harmonics in cet|57.7271958810858|columns=15|title=Approximation of harmonics in 74zpi}} | {{Harmonics in cet|57.7271958810858|columns=15|title=Approximation of harmonics in 74zpi}} | ||
{{Harmonics in cet|57.7271958810858|columns=16|start=16|title=Approximation of harmonics in 74zpi}} | {{Harmonics in cet|57.7271958810858|columns=16|start=16|title=Approximation of harmonics in 74zpi}} | ||
{{Harmonics in cet|57.1429|columns=15|title=21edo for comparison|collapsed=1}} | {{Harmonics in cet|57.1429|columns=15|title=21edo for comparison|collapsed=1}} | ||
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21 | 21 | ||
! | ! | ||
57.727 | |||
115.454 | |||
173.182 | |||
230.909 | |||
288.636 | |||
346.363 | |||
404.090 | |||
461.818 | |||
519.545 | |||
577.272 | |||
634.999 | |||
692.726 | |||
750.454 | |||
808.181 | |||
865.908 | |||
923.635 | |||
981.362 | |||
1039.090 | |||
1096.817 | |||
1154.544 | |||
1212.271 | |||
</pre> | </pre> | ||
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* 1212.271 | * 1212.271 | ||
[[Category:Zeta peak indexes]][[Category:Pages with Scala files]][[Category:Tempered scales]][[Category: | [[Category:Zeta peak indexes]][[Category:Pages with Scala files]][[Category:Tempered scales]][[Category:21-tone scales]][[Category:21edo]] | ||