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!Consistent
!Consistent
!Distinct
!Distinct
|-
|[[71zpi]]
|20.2248393119540
|59.3329806724710
|3.531097
|0.613581
|12.986080
|[[20edo]]
|1186.65961344942
|6
|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 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}}
{{Harmonics in cet|59.3329806724710|columns=16|start=16|title=71zpi}}
{|class="wikitable"
|-
!Step
!Cents
!Ratios
|-
|-
|1
|1
Line 104: Line 127:
|1364.659
|1364.659
|11/5
|11/5
|-
|24
|1423.992
|9/4, 25/11, 16/7
|-
|-
|25
|25
|1483.325
|1483.325
|7/3
|7/3
|-
|26
|1542.657
|17/7, 22/9
|-
|-
|27
|27
Line 119: Line 150:
|29
|29
|1720.656
|1720.656
|8/3, 27/10
|8/3, 27/10, 19/7
|-
|-
|30
|30
|1779.989
|1779.989
|14/5
|14/5
|-
|31
|1839.322
|26/9, 29/10
|-
|-
|32
|32
Line 160: Line 195:
|2373.319
|2373.319
|4/1
|4/1
|-
|42
|2491.985
|21/5, 17/4
|-
|43
|2551.318
|13/3
|-
|-
|44
|44
Line 176: Line 219:
|2788.650
|2788.650
|5/1
|5/1
|-
|48
|2847.983
|31/6, 26/5
|-
|49
|2907.316
|16/3
|-
|50
|2966.649
|11/2
|-
|-
|51
|51
|3025.982
|3025.982
|23/4
|17/3, 23/4
|-
|-
|52
|52
|3085.315
|3085.315
|6/1
|6/1
|-
|54
|3203.981
|19/3
|-
|55
|3263.314
|13/2
|-
|-
|57
|57
|3381.980
|3381.980
|7/1
|7/1
|-
|58
|3441.313
|22/3
|-
|59
|3500.646
|15/2
|-
|-
|61
|61
|3619.312
|3619.312
|8/1
|8/1
|-
|62
|3678.645
|25/3, 17/2
|-
|-
|63
|63
Line 200: Line 275:
|3797.311
|3797.311
|9/1
|9/1
|-
|65
|3856.644
|28/3
|-
|66
|3915.977
|19/2, 29/3
|-
|-
|67
|67
|3975.310
|3975.310
|10/1
|10/1
|-
|68
|4034.643
|31/3
|-
|69
|4093.976
|21/2, 32/3
|-
|-
|70
|70
|4153.309
|4153.309
|11/1
|11/1
|-
|71
|4212.642
|23/2
|-
|73
|4331.308
|12/1
|-
|74
|4390.641
|25/2
|-
|-
|75
|75
|4449.974
|4449.974
|13/1
|13/1
|-
|76
|4509.307
|27/2
|-
|-
|77
|77
Line 232: Line 339:
|4805.971
|4805.971
|16/1
|16/1
|-
|83
|4924.637
|17/1
|-
|84
|4983.970
|18/1
|-
|86
|5102.636
|19/1
|-
|87
|5161.969
|20/1
|-
|89
|5280.635
|21/1
|-
|90
|5339.968
|22/1
|-
|91
|5399.301
|23/1
|-
|93
|5517.967
|24/1
|-
|94
|5577.300
|25/1
|-
|95
|5636.633
|26/1
|-
|96
|5695.966
|27/1
|-
|97
|5755.299
|28/1
|-
|98
|5814.632
|29/1
|-
|99
|5873.965
|30/1
|-
|100
|5933.298
|31/1
|-
|101
|5992.631
|32/1
|}
|}


{{Stub}}
{{Stub}}
[[Category:Zeta peak indexes]]
[[Category:Zeta peak indexes]]
Retrieved from "https://en.xen.wiki/w/71zpi"