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Riemann zeta function/Record lists: Difference between revisions

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{{breadcrumb}}
== Definitions ==
=== Absolute ===
Based on the absolute value of zeta(s), which is more mathematically convenient to calculate at σ = 0.5.
=== Real ===
Based on the real part of zeta(s), which directly follows from the [[The Riemann zeta function and tuning/Vector's derivation|derivation of zeta as an equal tuning badness metric]].
== Zero-based metrics ==
== Zero-based metrics ==
Zeta metrics corresponding to regions between zeros on the critical line (σ = 0.5). The Riemann hypothesis is the equivalent to the statement that regions between zeros correspond directly to peaks.  
Zeta metrics corresponding to regions between zeros on the critical line (σ = 0.5). The Riemann hypothesis is the equivalent to the statement that regions between zeros correspond directly to peaks.  
{| class="wikitable"
{| class="wikitable"
|+
!Record type
!2
!3
!5
!7
!12
!19
!31
!41
!46
!53
!72
!130
!171
!224
!270
!311
!764
!954
!
!
!
!
!
!
!
!
!
!
|-
|-
|Zeta integral
! Record type
|★
! 2
|
! 3
|★
! 5
|★
! 7
|★
! 12
|★
! 19
|★
! 31
|★
! 41
|
! 46
|★
! 53
|★
! 72
|★
! 130
|★
! 171
|★
! 224
|★
! 270
|
! 311
|★
! 764
|★
! 954
|
!  
|
!  
|
!  
|
!  
|
!  
|
!  
|
!  
|
!  
|
!  
|
!  
|-
|Zeta gap
|★
|★
|★
|★
|★
|★
|★
|
|★
|★
|★
|
|
|
|★
|★
|
|★
|
|
|
|
|
|
|
|
|
|
|}
 
== σ = 1/2 ==
{| class="wikitable"
!Record type
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
|-
|Absolute zeta peak
|
|
|
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|-
|Absolute zeta integer
|
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|-
|Real zeta peak
|
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|
|
|
|
|
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|
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|-
|Real zeta integer
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|}
 
== σ = 1 ==
{| class="wikitable center-all"
!Record type
![[1edo|1]]
![[2edo|2]]
![[3edo|3]]
![[5edo|5]]
![[7edo|7]]
![[10edo|10]]
![[12edo|12]]
![[19edo|19]]
![[22edo|22]]
![[31edo|31]]
![[41edo|41]]
![[53edo|53]]
![[72edo|72]]
![[118edo|118]]
![[130edo|130]]
![[171edo|171]]
![[224edo|224]]
![[270edo|270]]
![[494edo|494]]
![[742edo|742]]
![[764edo|764]]
![[1106edo|1106]]
![[1236edo|1236]]
![[1395edo|1395]]
![[1578edo|1578]]
![[2460edo|2460]]
![[2684edo|2684]]
![[3395edo|3395]]
![[5585edo|5585]]
![[7033edo|7033]]
![[8269edo|8269]]
![[8539edo|8539]]
|-
|-
|Absolute zeta peak
| Zeta integral
| ★
| ★
| ★
|
| ★
| ★
| ★
| ★
Line 299: Line 59:
| ★
| ★
| ★
| ★
|
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
|  
| ★
|  
| ★
|  
|
|
|
|
|
|-
|-
|Absolute zeta integer
| Zeta gap
| ★
| ★
| ★
| ★
Line 329: Line 85:
| ★
| ★
| ★
| ★
| ★
|  
|  
|  
|  
|  
| ★
| ★
| ★
| ★
|
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
|  
|  
|  
|  
| ★
| ★
| ★
|  
|  
| ★
|  
|  
| ★
|  
| ★
|  
|
|
|
|}
 
== σ = 1/2 ==
{| class="wikitable"
|-
! Record type
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
|-
|-
|Real zeta peak
| Absolute zeta peak
|
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|  
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|  
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|  
|  
|  
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|-
| Absolute zeta integer
|  
|  
|  
|  
Line 385: Line 197:
|  
|  
|-
|-
|Real zeta integer
| Real zeta peak
|
|
|
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|  
|  
|  
|  
|  
|  
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|-
| Real zeta integer
|  
|  
|  
|  
Line 420: Line 258:
|}
|}


=== No-threes ===
== σ = 1 ==
{| class="wikitable center-all"
{| class="wikitable center-all"
!Record type
![[1edo|1]]
![[2edo|2]]
![[3edo|3]]
![[4edo|4]]
![[6edo|6]]
![[16edo|16]]
![[21edo|21]]
![[25edo|25]]
![[31edo|31]]
![[37edo|37]]
![[93edo|93]]
![[109edo|109]]
![[124edo|124]]
![[233edo|233]]
![[457edo|457]]
![[581edo|581]]
![[618edo|618]]
![[851edo|851]]
![[1028edo|1028]]
![[1121edo|1121]]
![[1199edo|1199]]
![[1702edo|1702]]
![[1963edo|1963]]
![[2917edo|2917]]
![[3535edo|3535]]
![[4880edo|4880]]
![[5352edo|5352]]
![[8232edo|8232]]
|-
|-
|Absolute zeta peak
! Record type
! [[1edo|1]]
! [[2edo|2]]
! [[3edo|3]]
! [[5edo|5]]
! [[7edo|7]]
! [[10edo|10]]
! [[12edo|12]]
! [[19edo|19]]
! [[22edo|22]]
! [[31edo|31]]
! [[41edo|41]]
! [[53edo|53]]
! [[72edo|72]]
! [[118edo|118]]
! [[130edo|130]]
! [[171edo|171]]
! [[224edo|224]]
! [[270edo|270]]
! [[311edo|311]]
! [[494edo|494]]
! [[742edo|742]]
! [[764edo|764]]
! [[1106edo|1106]]
! [[1236edo|1236]]
! [[1395edo|1395]]
! [[1448edo|1448]]
! [[1578edo|1578]]
! [[2072edo|2072]]
! [[2460edo|2460]]
! [[2684edo|2684]]
! [[3395edo|3395]]
! [[5585edo|5585]]
! [[7033edo|7033]]
! [[8269edo|8269]]
! [[8539edo|8539]]
|-
| Absolute zeta peak
| ★
| ★
| ★
| ★
| ★
| ★
Line 459: Line 307:
| ★
| ★
| ★
| ★
|
| ★
| ★
| ★
| ★
Line 467: Line 316:
| ★
| ★
| ★
| ★
| ★
|
| ★
|
| ★
| ★
| ★
| ★
Line 474: Line 327:
| ★
| ★
|  
|  
| ★
| ★
| ★
|
| ★
| ★
| ★
|-
| Absolute zeta integer
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
|  
|  
|  
|  
| ★
| ★
| ★
| ★
|  
|  
| ★
| ★
|  
|  
| ★
|  
|  
|  
|  
|-
|Absolute zeta integer
| ★
|  
|  
| ★
| ★
Line 490: Line 367:
| ★
| ★
|  
|  
| ★
|  
|  
| ★
| ★
|-
| Real zeta peak
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
Line 498: Line 385:
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
Line 506: Line 401:
| ★
| ★
|  
|  
| ★
| ★
| ★
|  
|  
| ★
| ★
| ★
|-
| Real zeta integer
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|-
|Real zeta peak
|  
|  
| ★
| ★
| ★
| ★
|  
|  
|  
|  
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
|  
|  
|  
|  
|  
|  
| ★
| ★
| ★
| ★
|  
|  
| ★
|  
|  
|  
|  
| ★
|}
=== No-threes ===
{| class="wikitable center-all"
|-
! Record type
! [[1edo|1]]
! [[2edo|2]]
! [[3edo|3]]
! [[4edo|4]]
! [[6edo|6]]
! [[16edo|16]]
! [[21edo|21]]
! [[25edo|25]]
! [[31edo|31]]
! [[37edo|37]]
! [[93edo|93]]
! [[109edo|109]]
! [[124edo|124]]
! [[233edo|233]]
! [[457edo|457]]
! [[581edo|581]]
! [[618edo|618]]
! [[851edo|851]]
! [[1028edo|1028]]
! [[1121edo|1121]]
! [[1199edo|1199]]
! [[1702edo|1702]]
! [[1963edo|1963]]
! [[2917edo|2917]]
! [[3535edo|3535]]
! [[4880edo|4880]]
! [[5352edo|5352]]
! [[6312edo|6312]]
! [[8232edo|8232]]
|-
| Absolute zeta peak
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
|  
|  
|  
|  
| ★
| ★
|  
|  
| ★
| ★
|  
|  
|  
|  
| ★
|  
|  
| ★
|-
| Absolute zeta integer
| ★
|  
|  
| ★
| ★
| ★
|  
|  
|  
|  
|  
|  
| ★
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
|  
|  
|  
|  
|  
|  
| ★
| ★
| ★
|  
|  
| ★
|-
|-
|Real zeta integer
| Real zeta peak
|  
| ★
|  
| ★
|  
| ★
|  
| ★
|  
| ★
|  
| ★
|  
| ★
|  
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
|  
|  
|  
|  
| ★
| ★
|  
|  
| ★
| ★
|  
|  
|  
|  
| ★
|  
|  
| ★
|-
| Real zeta integer
| ★
|  
|  
| ★
|  
|  
| ★
|  
|  
|  
|  
|  
|  
| ★
| ★
| ★
|  
|  
| ★
|  
|  
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
|  
|  
|  
|  
| ★
| ★
|  
|  
| ★
|  
|  
|}
|}
Line 575: Line 608:
=== No-twos tritave divisions ===
=== No-twos tritave divisions ===
{| class="wikitable center-all"
{| class="wikitable center-all"
!Record type
![[1edt|1]]
![[2edt|2]]
![[4edt|4]]
![[9edt|9]]
![[13edt|13]]
![[17edt|17]]
![[26edt|26]]
![[39edt|39]]
![[71edt|71]]
![[88edt|88]]
![[131edt|131]]
![[245edt|245]]
![[415edt|415]]
![[460edt|460]]
![[630edt|630]]
![[712edt|712]]
![[800edt|800]]
![[1342edt|1342]]
![[1473edt|1473]]
![[1757edt|1757]]
![[2426edt|2426]]
![[3624edt|3624]]
![[3755edt|3755]]
![[4424edt|4424]]
![[5136edt|5136]]
![[6181edt|6181]]
![[8682edt|8682]]
![[9805edt|9805]]
|-
|-
|Absolute zeta peak
! Record type
! [[1edt|1]]
! [[2edt|2]]
! [[4edt|4]]
! [[9edt|9]]
! [[13edt|13]]
! [[17edt|17]]
! [[26edt|26]]
! [[39edt|39]]
! [[71edt|71]]
! [[88edt|88]]
! [[131edt|131]]
! [[245edt|245]]
! [[415edt|415]]
! [[630edt|630]]
! [[712edt|712]]
! [[800edt|800]]
! [[1123edt|1123]]
! [[1342edt|1342]]
! [[1473edt|1473]]
! [[1757edt|1757]]
! [[2426edt|2426]]
! [[3624edt|3624]]
! [[3755edt|3755]]
! [[4424edt|4424]]
! [[5136edt|5136]]
! [[6181edt|6181]]
! [[8682edt|8682]]
! [[9805edt|9805]]
|-
| Absolute zeta peak
| ★
| ★
| ★
| ★
Line 621: Line 655:
| ★
| ★
| ★
| ★
| ★
|  
|  
|  
| ★
| ★
|
| ★
| ★
| ★
| ★
Line 630: Line 663:
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
Line 635: Line 669:
|  
|  
|-
|-
|Absolute zeta integer
| Absolute zeta integer
| ★
| ★
| ★
| ★
Line 651: Line 685:
|  
|  
|  
|  
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
Line 665: Line 699:
| ★
| ★
|-
|-
|Real zeta peak
| Real zeta peak
|  
| ★
|  
| ★
|  
| ★
|  
| ★
|  
| ★
|  
| ★
|  
| ★
|  
| ★
|
|
|  
|  
| ★
| ★
| ★
|  
|  
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
|-
| Real zeta integer
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
|  
|  
| ★
| ★
|  
|  
| ★
|  
|  
|  
|  
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
|  
|  
| ★
|  
|  
| ★
|}
== σ = 3/2 ==
{| class="wikitable center-all"
|-
! Record type
! [[1edo|1]]
! [[2edo|2]]
! [[3edo|3]]
! [[5edo|5]]
! [[7edo|7]]
! [[10edo|10]]
! [[12edo|12]]
! [[19edo|19]]
! [[31edo|31]]
! [[41edo|41]]
! [[53edo|53]]
! [[72edo|72]]
! [[130edo|130]]
! [[171edo|171]]
! [[224edo|224]]
! [[270edo|270]]
! [[494edo|494]]
! [[1106edo|1106]]
! [[1578edo|1578]]
! [[2460edo|2460]]
! [[2684edo|2684]]
! [[3395edo|3395]]
! [[5585edo|5585]]
! [[8269edo|8269]]
! [[8539edo|8539]]
|-
| Absolute zeta peak
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
|  
|  
|  
|  
| ★
| ★
| ★
| ★
|  
|  
| ★
| ★
|-
|-
|Real zeta integer
| Absolute zeta integer
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
| ★
| ★
|  
|  
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
|  
| ★
|  
| ★
|  
| ★
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|}
 
== σ = 3/2 ==
{| class="wikitable center-all"
!Record type
![[1edo|1]]
![[2edo|2]]
![[3edo|3]]
![[5edo|5]]
![[7edo|7]]
![[10edo|10]]
![[12edo|12]]
![[19edo|19]]
![[31edo|31]]
![[41edo|41]]
![[53edo|53]]
![[72edo|72]]
![[130edo|130]]
![[171edo|171]]
![[224edo|224]]
![[270edo|270]]
![[494edo|494]]
![[1106edo|1106]]
![[1578edo|1578]]
![[2460edo|2460]]
![[2684edo|2684]]
![[3395edo|3395]]
![[5585edo|5585]]
![[8269edo|8269]]
![[8539edo|8539]]
|-
|-
|Absolute zeta peak
| Real zeta peak
| ★
| ★
| ★
| ★
Line 782: Line 871:
| ★
| ★
|-
|-
|Absolute zeta integer
| Real zeta integer
| ★
| ★
| ★
| ★
Line 797: Line 886:
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|
|
| ★
|
| ★
|}
=== No-threes ===
{| class="wikitable center-all"
|-
! Record type
! [[1edo|1]]
! [[2edo|2]]
! [[3edo|3]]
! [[6edo|6]]
! [[25edo|25]]
! [[31edo|31]]
! [[37edo|37]]
! [[93edo|93]]
! [[109edo|109]]
! [[124edo|124]]
! [[233edo|233]]
! [[457edo|457]]
! [[581edo|581]]
! [[618edo|618]]
! [[1199edo|1199]]
! [[2917edo|2917]]
! [[3535edo|3535]]
! [[4880edo|4880]]
! [[5352edo|5352]]
! [[6312edo|6312]]
|-
| Absolute zeta peak
|  
|  
| ★
| ★
Line 808: Line 936:
| ★
| ★
| ★
| ★
|-
|Real zeta peak
| ★
| ★
| ★
| ★
Line 815: Line 941:
| ★
| ★
| ★
| ★
|
|  
|  
| ★
| ★
|
|-
| Absolute zeta integer
| ★
| ★
|
| ★
| ★
| ★
| ★
|
| ★
| ★
| ★
| ★
| ★
| ★
|
| ★
| ★
|  
|  
| ★
| ★
| ★
|  
|  
| ★
|  
|  
| ★
| ★
Line 832: Line 967:
| ★
| ★
| ★
| ★
|-
| Real zeta peak
|  
|  
| ★
| ★
| ★
| ★
|-
| ★
|Real zeta integer
| ★
| ★
| ★
|
| ★
| ★
| ★
| ★
| ★
Line 844: Line 985:
| ★
| ★
| ★
| ★
|
|  
|  
| ★
| ★
| ★
|  
|-
| Real zeta integer
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
|
| ★
| ★
| ★
| ★
| ★
| ★
|
| ★
| ★
|
| ★
| ★
| ★
| ★
|  
|  
| ★
|  
|  
| ★
| ★
| ★
|  
|  
Line 866: Line 1,015:
=== No-twos tritave divisions ===
=== No-twos tritave divisions ===
{| class="wikitable center-all"
{| class="wikitable center-all"
!Record type
![[1edt|1]]
![[2edt|2]]
![[4edt|4]]
![[9edt|9]]
![[13edt|13]]
![[17edt|17]]
![[26edt|26]]
![[39edt|39]]
![[88edt|88]]
![[114edt|114]]
![[131edt|131]]
![[415edt|415]]
![[712edt|712]]
![[800edt|800]]
![[914edt|914]]
![[1342edt|1342]]
![[1757edt|1757]]
![[2426edt|2426]]
![[3624edt|3624]]
![[3755edt|3755]]
![[6181edt|6181]]
|-
|-
|Absolute zeta peak
! Record type
! [[1edt|1]]
! [[2edt|2]]
! [[4edt|4]]
! [[9edt|9]]
! [[13edt|13]]
! [[17edt|17]]
! [[26edt|26]]
! [[39edt|39]]
! [[88edt|88]]
! [[114edt|114]]
! [[131edt|131]]
! [[415edt|415]]
! [[712edt|712]]
! [[800edt|800]]
! [[914edt|914]]
! [[1342edt|1342]]
! [[1757edt|1757]]
! [[2426edt|2426]]
! [[3624edt|3624]]
! [[3755edt|3755]]
! [[6181edt|6181]]
|-
| Absolute zeta peak
| ★
| ★
| ★
| ★
Line 912: Line 1,062:
| ★
| ★
|-
|-
|Absolute zeta integer
| Absolute zeta integer
| ★
| ★
| ★
| ★
Line 935: Line 1,085:
| ★
| ★
|-
|-
|Real zeta peak
| Real zeta peak
| ★
| ★
| ★
| ★
Line 958: Line 1,108:
| ★
| ★
|-
|-
|Real zeta integer
| Real zeta integer
| ★
| ★
| ★
| ★
Line 984: Line 1,134:
== σ = 2 ==
== σ = 2 ==
{| class="wikitable center-all"
{| class="wikitable center-all"
!Record type
![[1edo|1]]
![[2edo|2]]
![[3edo|3]]
![[5edo|5]]
![[7edo|7]]
![[10edo|10]]
![[12edo|12]]
![[19edo|19]]
![[31edo|31]]
![[41edo|41]]
![[53edo|53]]
![[118edo|118]]
![[130edo|130]]
![[171edo|171]]
![[270edo|270]]
![[494edo|494]]
![[1106edo|1106]]
![[1578edo|1578]]
![[2460edo|2460]]
![[2684edo|2684]]
![[3395edo|3395]]
![[5585edo|5585]]
![[6079edo|6079]]
![[8269edo|8269]]
![[8539edo|8539]]
|-
|-
|Absolute zeta peak
! Record type
! [[1edo|1]]
! [[2edo|2]]
! [[3edo|3]]
! [[5edo|5]]
! [[7edo|7]]
! [[10edo|10]]
! [[12edo|12]]
! [[19edo|19]]
! [[31edo|31]]
! [[41edo|41]]
! [[53edo|53]]
! [[118edo|118]]
! [[130edo|130]]
! [[171edo|171]]
! [[270edo|270]]
! [[494edo|494]]
! [[1106edo|1106]]
! [[1578edo|1578]]
! [[2460edo|2460]]
! [[2684edo|2684]]
! [[3395edo|3395]]
! [[5585edo|5585]]
! [[6079edo|6079]]
! [[8269edo|8269]]
! [[8539edo|8539]]
|-
| Absolute zeta peak
| ★
| ★
| ★
| ★
Line 1,038: Line 1,189:
| ★
| ★
|-
|-
|Absolute zeta integer
| Absolute zeta integer
| ★
| ★
| ★
| ★
Line 1,065: Line 1,216:
| ★
| ★
|-
|-
|Real zeta peak (cosine mu peak)
| Real zeta peak (cosine mu peak)
| ★
| ★
| ★
| ★
| ★
|
| ★
| ★
| ★
| ★
Line 1,073: Line 1,230:
|  
|  
| ★
| ★
| ★
| ★
|
|
| ★
| ★
| ★
| ★
Line 1,078: Line 1,239:
| ★
| ★
|  
|  
| ★
| ★
|
|-
| Real zeta integer (cosine mu integer)
| ★
| ★
|
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
| ★
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
Line 1,089: Line 1,263:
|  
|  
| ★
| ★
|
|
| ★
| ★
|  
|  
|
| ★
|}
=== No-threes ===
{| class="wikitable center-all"
|-
! Record type
! [[1edo|1]]
! [[2edo|2]]
! [[3edo|3]]
! [[6edo|6]]
! [[31edo|31]]
! [[37edo|37]]
! [[93edo|93]]
! [[124edo|124]]
! [[233edo|233]]
! [[581edo|581]]
! [[1199edo|1199]]
! [[2917edo|2917]]
! [[3535edo|3535]]
! [[5352edo|5352]]
! [[6312edo|6312]]
|-
|-
|Real zeta integer (cosine mu integer)
| Absolute zeta peak
|
| ★
| ★
| ★
| ★
| ★
|
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|  
|  
| ★
| ★
|
|-
| Absolute zeta integer
| ★
|
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|
|
| ★
|
| ★
|-
| Real zeta peak
|  
|  
| ★
| ★
| ★
| ★
| ★
| ★
Line 1,113: Line 1,341:
| ★
| ★
|  
|  
|-
| Real zeta integer
| ★
|  
|  
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
| ★
|
|  
|  
| ★
|  
|  
| ★
| ★
Line 1,122: Line 1,362:
=== No-twos tritave divisions ===
=== No-twos tritave divisions ===
{| class="wikitable center-all"
{| class="wikitable center-all"
!Record type
![[1edt|1]]
![[2edt|2]]
![[4edt|4]]
![[9edt|9]]
![[13edt|13]]
![[17edt|17]]
![[26edt|26]]
![[39edt|39]]
![[88edt|88]]
![[114edt|114]]
![[131edt|131]]
![[800edt|800]]
![[914edt|914]]
![[1342edt|1342]]
![[1757edt|1757]]
![[2426edt|2426]]
![[3624edt|3624]]
![[3755edt|3755]]
![[6181edt|6181]]
|-
|-
|Absolute zeta peak
! Record type
! [[1edt|1]]
! [[2edt|2]]
! [[4edt|4]]
! [[9edt|9]]
! [[13edt|13]]
! [[17edt|17]]
! [[26edt|26]]
! [[39edt|39]]
! [[88edt|88]]
! [[114edt|114]]
! [[131edt|131]]
! [[800edt|800]]
! [[914edt|914]]
! [[1342edt|1342]]
! [[1757edt|1757]]
! [[2426edt|2426]]
! [[3624edt|3624]]
! [[3755edt|3755]]
! [[6181edt|6181]]
|-
| Absolute zeta peak
| ★
| ★
| ★
| ★
Line 1,164: Line 1,405:
| ★
| ★
|-
|-
|Absolute zeta integer
| Absolute zeta integer
| ★
| ★
| ★
| ★
Line 1,185: Line 1,426:
| ★
| ★
|-
|-
|Real zeta peak (cosine mu peak)
| Real zeta peak (cosine mu peak)
| ★
| ★
| ★
| ★
Line 1,206: Line 1,447:
| ★
| ★
|-
|-
|Real zeta integer (cosine mu integer)
| Real zeta integer (cosine mu integer)
| ★
| ★
| ★
| ★
Line 1,227: Line 1,468:
| ★
| ★
|}
|}
[[Category:Zeta| ]]
[[Category:Math]]
[[Category:Tuning]]
Retrieved from "https://en.xen.wiki/w/Riemann_zeta_function/Record_lists"