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| Line 16: |
Line 16: |
| !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 127: |
Line 104: |
| |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 150: |
Line 119: |
| |29 | | |29 |
| |1720.656 | | |1720.656 |
| |8/3, 27/10, 19/7 | | |8/3, 27/10 |
| |- | | |- |
| |30 | | |30 |
| |1779.989 | | |1779.989 |
| |14/5 | | |14/5 |
| |-
| |
| |31
| |
| |1839.322
| |
| |26/9, 29/10
| |
| |- | | |- |
| |32 | | |32 |
| Line 195: |
Line 160: |
| |2373.319 | | |2373.319 |
| |4/1 | | |4/1 |
| |-
| |
| |42
| |
| |2491.985
| |
| |21/5, 17/4
| |
| |-
| |
| |43
| |
| |2551.318
| |
| |13/3
| |
| |- | | |- |
| |44 | | |44 |
| Line 219: |
Line 176: |
| |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 |
| |17/3, 23/4 | | |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 275: |
Line 200: |
| |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 339: |
Line 232: |
| |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
| |
| |} | | |} |
|
| |
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| {{Stub}} | | {{Stub}} |
| [[Category:Zeta peak indexes]] | | [[Category:Zeta peak indexes]] |