71zpi: Difference between revisions
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'''71 zeta peak index''' (abbreviated '''71zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 71st peak of the [[The Riemann zeta function and tuning|Riemann zeta function]]. | '''71 zeta peak index''' (abbreviated '''71zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 71st peak of the [[The Riemann zeta function and tuning|Riemann zeta function]]. | ||
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[[File:71zpi.png|thumb|The Riemann zeta function around 71zpi]] | |||
== Theory == | == Theory == | ||
'''71zpi''' marks the most prominent [[zeta peak index]] in the [[vicinity]] of [[20edo]]. While [[70zpi]] is the nearest peak to [[20edo]] and closely competes with 71zpi in terms of strength, 71zpi remains superior across all measures of strength. | '''71zpi''' marks the most prominent [[zeta peak index]] in the [[vicinity]] of [[20edo]]. While [[70zpi]] is the nearest peak to [[20edo]] and closely competes with 71zpi in terms of strength, 71zpi remains superior across all measures of strength. | ||
71zpi features a good 3:5:9:11:14:15:16:19:25:26:33 chord, which differs a lot from the harmonic characteristics of [[20edo]]. | 71zpi features a good 3:5:9:11:14:15:16:19:25:26:33 chord, which differs a lot from the harmonic characteristics of [[20edo]]. | ||
The nearest zeta peaks to 71zpi that surpass its strength are [[65zpi]] and [[75zpi]]. | |||
=== Harmonic series === | === Harmonic series === | ||