71zpi: Difference between revisions

Line 1:

'''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]].

{|class="wikitable"

!colspan="3"|Tuning

Line 28:

|6

|}

'''71zpi''' marks the most prominent zeta peak index in the vicinity of [[20edo]], ranging between 19.5 EDO and 20.5 EDO. 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]], ranging between 19.5 EDO and 20.5 EDO. 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]].[[File:71zpi.png|thumb|The Riemann zeta function around 71zpi]]The nearest zeta peaks to 71zpi that surpass its strength are [[65zpi]] and [[75zpi]].{{Harmonics in cet|59.3329806724710|columns=15|title=71zpi}}

@@ Line 1: / Line 1: @@
-'''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]].
 {|class="wikitable"
 !colspan="3"|Tuning
@@ Line 28: / Line 28: @@
 |6
 |}
-'''71zpi''' marks the most prominent zeta peak index in the vicinity of [[20edo]], ranging between 19.5 EDO and 20.5 EDO. 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]], ranging between 19.5 EDO and 20.5 EDO. 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.
 zpi 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]].[[File:71zpi.png|thumb|The Riemann zeta function around 71zpi]]The nearest zeta peaks to 71zpi that surpass its strength are [[65zpi]] and [[75zpi]].{{Harmonics in cet|59.3329806724710|columns=15|title=71zpi}}