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== Intervals ==
== Intervals ==
The table below presents 32-integer-limit ratios by [[direct approximation]] to 71zpi steps, with an allowable error in cents determined by the formula: abs (error) < (1200 / (''nd'')), where ''n''/''d'' represents the octave-reduced ratio. If you have an alternative or more effective formula, please feel free to suggest it.


There are multiple ways to approach notation. The simplest method is to use the notations from [[20edo]]. However, this approach will not preserve octave compression when the audio is rendered by notation software. If maintaining accurate step compression in notation software is important, consider using the ups and downs notation from [[182edo]] at every 9-degree. With this method, the tonal difference will be less than 1 cent up to the 86th harmonic.
There are multiple ways to approach notation. The simplest method is to use the notations from [[20edo]]. However, this approach will not preserve octave compression when the audio is rendered by notation software. If maintaining accurate step compression in notation software is important, consider using the ups and downs notation from [[182edo]] at every 9-degree. With this method, the tonal difference will be less than 1 cent up to the 86th harmonic.


{{Todo|complete table|inline=1|comment=Fill in the blank sections with the ups and downs notation from 20edo and 182edo. Additionally, incorporate a new column adjacent to each notation to indicate the corresponding octave.}}
{| class="wikitable center-1 right-2 left-3 center-4 center-5"
 
|-
{| class="wikitable center-all right-2 left-3"
| colspan="3" style="text-align:left;" | JI ratios are comprised of 32-integer limit ratios,<br>and are stylized as follows to indicate their accuracy:
* '''<u>Bold Underlined:</u>''' relative error < 8.333 %
* '''Bold:''' relative error < 16.667 %
* Normal: relative error < 25 %
* <small>Small:</small> relative error < 33.333 %
* <small><small>Small Small:</small></small> relative error < 41.667 %
* <small><small><small>Small Small Small:</small></small></small> relative error < 50 %
| colspan="2" style="text-align:right;" | <center>'''182edo at every 9 steps'''</center><br>[[9/8|Whole tone]] = 30 steps<br>[[256/243|Limma]] = 16 steps<br>[[2187/2048|Apotome]] = 14 steps
|-
|-
! Step
! Degree
! Cents
! Cents
! Ratios
! Ratios
! colspan="3" | [[Ups and Downs Notation]] from [[20edo]]
! Ups and Downs Notation
! colspan="3" | [[Ups and Downs Notation]] from [[182edo]]
! Step
|-
|-
| 0
| 0
| 0.000
| 0.000
| [[1/1]]
|  
| unison
| P1
| P1
| D
| 0
| unison
| P1
| D
|-
|-
| 1
| 1
| 59.333
| 59.333
| [[30/29]], [[29/28]]
| '''<u>[[32/31]]'''</u>, '''<u>[[31/30]]'''</u>, '''<u>[[30/29]]'''</u>, '''<u>[[29/28]]'''</u>, '''<u>[[28/27]]'''</u>, '''[[27/26]]''', '''[[26/25]]''', [[25/24]], [[24/23]], <small>[[23/22]]</small>, <small><small>[[22/21]]</small></small>, <small><small><small>[[21/20]]</small></small></small>, <small><small><small>[[20/19]]</small></small></small>
| up unison, upminor 2nd
| v<sup>7</sup>m2
| ^1, ^m2
| 9
| ^D, ^Eb
|
|  
|  
|-
|-
| 2
| 2
| 118.666
| 118.666
| [[15/14]]
| <small><small><small>[[19/18]]</small></small></small>, <small>[[18/17]]</small>, [[17/16]], '''[[16/15]]''', '''<u>[[31/29]]'''</u>, '''<u>[[15/14]]'''</u>, '''[[29/27]]''', '''[[14/13]]''', [[27/25]], <small><small>[[13/12]]</small></small>, <small><small><small>[[25/23]]</small></small></small>
| dup unison, mid 2nd
| ^^m2
| ^^1, ~2
| 18
| ^^D, vvE
|
|
|  
|-
|-
| 3
| 3
| 177.999
| 177.999
| [[10/9]]
| <small><small><small>[[12/11]]</small></small></small>, <small><small>[[23/21]]</small></small>, [[11/10]], '''[[32/29]]''', '''<u>[[21/19]]'''</u>, '''<u>[[31/28]]'''</u>, '''<u>[[10/9]]'''</u>, [[29/26]], [[19/17]], <small>[[28/25]]</small>, <small><small><small>[[9/8]]</small></small></small>
| downmajor 2nd
| vvvM2
| vM2
| 27
| vE
|
|
|  
|-
|-
| 4
| 4
| 237.332
| 237.332
| [[8/7]]
| <small><small><small>[[26/23]]</small></small></small>, <small><small>[[17/15]]</small></small>, <small>[[25/22]]</small>, '''[[8/7]]''', '''<u>[[31/27]]'''</u>, '''<u>[[23/20]]'''</u>, [[15/13]], <small>[[22/19]]</small>, <small>[[29/25]]</small>, <small><small><small>[[7/6]]</small></small></small>
| major 2nd, minor 3rd
| ^<sup>6</sup>M2
| M2, m3
| 36
| E, F
|
|  
|  
|-
|-
| 5
| 5
| 296.665
| 296.665
| [[13/11]], [[19/16]], [[6/5]]
| <small>[[27/23]]</small>, <small>[[20/17]]</small>, '''[[13/11]]''', '''<u>[[32/27]]'''</u>, '''<u>[[19/16]]'''</u>, '''[[25/21]]''', '''[[31/26]]''', <small>[[6/5]]</small>
| upminor 3rd
| vm3
| ^m3
| 45
| ^F
|
|
|  
|-
|-
| 6
| 6
| 355.998
| 355.998
| [[11/9]], [[27/22]], [[16/13]]
| <small><small><small>[[29/24]]</small></small></small>, <small><small><small>[[23/19]]</small></small></small>, <small><small>[[17/14]]</small></small>, <small>[[28/23]]</small>, '''[[11/9]]''', '''<u>[[27/22]]'''</u>, '''<u>[[16/13]]'''</u>, '''[[21/17]]''', [[26/21]], <small>[[31/25]]</small>
| mid 3rd
| v<sup>6</sup>M3
| ~3
| 54
| ^^F, vvF#
|
|  
|  
|-
|-
| 7
| 7
| 415.331
| 415.331
| [[5/4]], [[14/11]]
| <small><small><small>[[5/4]]</small></small></small>, [[29/23]], [[24/19]], '''[[19/15]]''', '''<u>[[14/11]]'''</u>, '''[[23/18]]''', [[32/25]], <small>[[9/7]]</small>, <small><small><small>[[31/24]]</small></small></small>
| downmajor 3rd
| ^^^M3
| vM3
| 63
| vF#
|
|
|  
|-
|-
| 8
| 8
| 474.664
| 474.664
| [[25/19]], [[4/3]]
| <small><small><small>[[22/17]]</small></small></small>, <small><small>[[13/10]]</small></small>, [[30/23]], [[17/13]], '''<u>[[21/16]]'''</u>, '''<u>[[25/19]]'''</u>, '''<u>[[29/22]]'''</u>, <small><small>[[4/3]]</small></small>
| major 3rd, perfect fourth
| v<sup>4</sup>4
| M3, P4
| 72
| F#, G
|
|
|  
|-
|-
| 9
| 9
| 533.997
| 533.997
| [[15/11]]
| <small>[[31/23]]</small>, [[27/20]], [[23/17]], '''[[19/14]]''', '''<u>[[15/11]]'''</u>, '''[[26/19]]''', <small>[[11/8]]</small>, <small><small><small>[[29/21]]</small></small></small>, <small><small><small>[[18/13]]</small></small></small>
| up-fourth
| ^<sup>5</sup>4
| ^4
| 81
| ^G
|
|
|
|-
|-
| 10
| 10
| 593.330
| 593.330
| [[7/5]], [[31/22]]
| <small><small>[[25/18]]</small></small>, <small><small>[[32/23]]</small></small>, [[7/5]], '''<u>[[31/22]]'''</u>, '''<u>[[24/17]]'''</u>, '''[[17/12]]''', <small>[[27/19]]</small>, <small><small>[[10/7]]</small></small>
| mid fourth, mid fifth
| A4
| ~4, ~5
| 90
| ^^G, vvA
|
|  
|  
|-
|-
| 11
| 11
| 652.663
| 652.663
| [[16/11]], [[19/13]]
| <small><small>[[23/16]]</small></small>, <small>[[13/9]]</small>, '''[[29/20]]''', '''<u>[[16/11]]'''</u>, '''<u>[[19/13]]'''</u>, [[22/15]], <small>[[25/17]]</small>, <small>[[28/19]]</small>, <small><small>[[31/21]]</small></small>
| down-fifth
| ~5
| v5
| 99
| vA
|
|
|  
|-
|-
| 12
| 12
| 711.996
| 711.996
| [[3/2]]
| [[3/2]], <small>[[32/21]]</small>, <small><small>[[29/19]]</small></small>, <small><small>[[26/17]]</small></small>, <small><small><small>[[23/15]]</small></small></small>
| fifth
| ^^5
| P5, m6
| 108
| A
|
|  
|  
|-
|-
| 13
| 13
| 771.329
| 771.329
| [[14/9]], [[25/16]], [[11/7]]
| <small><small><small>[[20/13]]</small></small></small>, <small>[[17/11]]</small>, [[31/20]], '''[[14/9]]''', '''<u>[[25/16]]'''</u>, [[11/7]], <small>[[30/19]]</small>, <small><small>[[19/12]]</small></small>, <small><small><small>[[27/17]]</small></small></small>
| upfifth, upminor 6th
| v<sup>5</sup>m6
| ^5, ^m6
| 117
| ^A, ^Bb
|
|
|
|-
|-
| 14
| 14
| 830.662
| 830.662
| [[8/5]], [[21/13]], [[13/8]]
| <small>[[8/5]]</small>, '''[[29/18]]''', '''<u>[[21/13]]'''</u>, '''[[13/8]]''', <small>[[31/19]]</small>, <small><small>[[18/11]]</small></small>, <small><small><small>[[23/14]]</small></small></small>
| mid 6th
| ^<sup>4</sup>m6
| ~6
| 126
| ^^A, vvB
|
|
|  
|-
|-
| 15
| 15
| 889.995
| 889.995
| [[5/3]]
| <small><small><small>[[28/17]]</small></small></small>, '''[[5/3]]''', [[32/19]], <small>[[27/16]]</small>, <small><small>[[22/13]]</small></small>, <small><small><small>[[17/10]]</small></small></small>
| downmajor 6th
| vM6
| vM6
| vB
| 135
|
|
|
|-
|-
| 16
| 16
| 949.328
| 949.328
| [[19/11]], [[26/15]], [[7/4]]
| <small><small>[[29/17]]</small></small>, <small>[[12/7]]</small>, '''[[31/18]]''', '''<u>[[19/11]]'''</u>, '''<u>[[26/15]]'''</u>, <small>[[7/4]]</small>
| major 6th, minor 7th
| v<sup>6</sup>A6, ^<sup>6</sup>d7
| M6, m7
| 144
| B, C
|
|
|  
|-
|-
| 17
| 17
| 1008.661
| 1008.661
| [[9/5]]
| <small><small><small>[[30/17]]</small></small></small>, <small><small>[[23/13]]</small></small>, [[16/9]], '''<u>[[25/14]]'''</u>, '''[[9/5]]''', <small><small>[[29/16]]</small></small>, <small><small><small>[[20/11]]</small></small></small>
| upminor 7th
| ^m7
| ^m7
| ^C
| 153
|
|
|
|-
|-
| 18
| 18
| 1067.994
| 1067.994
| [[13/7]]
| <small><small><small>[[31/17]]</small></small></small>, <small>[[11/6]]</small>, '''[[24/13]]''', '''<u>[[13/7]]'''</u>, [[28/15]], <small><small>[[15/8]]</small></small>, <small><small><small>[[32/17]]</small></small></small>
| mid 7th
| v<sup>4</sup>M7
| ~7
| 162
| ^^C, vvD
|
|  
|  
|-
|-
| 19
| 19
| 1127.327
| 1127.327
| [[23/12]]
| <small><small><small>[[17/9]]</small></small></small>, <small>[[19/10]]</small>, '''[[21/11]]''', '''<u>[[23/12]]'''</u>, '''<u>[[25/13]]'''</u>, '''[[27/14]]''', [[29/15]], <small>[[31/16]]</small>
| downmajor 7th
| ^<sup>5</sup>M7
| vM7
| 171
| vD
|
|
|  
|-
|-
| 20
| 20
| 1186.660
| 1186.660
| [[2/1]]
| [[2/1]]
| octave
| vv1 +1 oct
| P8
| 180
| D
|-
|  
| 21
|  
| 1245.993
|  
| [[31/15]], [[29/14]], <small>[[27/13]]</small>, <small><small>[[25/12]]</small></small>
| ^<sup>7</sup>1 +1 oct
| 189
|-
|-
| 22
| 22
| 1305.326
| 1305.326
| [[17/8]]
| <small><small><small>[[23/11]]</small></small></small>, <small><small>[[21/10]]</small></small>, [[19/9]], '''<u>[[17/8]]'''</u>, '''[[32/15]]''', [[15/7]], <small><small>[[28/13]]</small></small>
|  
| m2 +1 oct
|  
| 198
|
|
|
|
|-
|-
| 23
| 23
| 1364.659
| 1364.659
| [[11/5]]
| <small><small><small>[[13/6]]</small></small></small>, [[24/11]], '''<u>[[11/5]]'''</u>, [[31/14]], <small>[[20/9]]</small>, <small><small>[[29/13]]</small></small>
|  
| v<sup>5</sup>M2 +1 oct
|  
| 207
|  
|-
|  
| 24
|  
| 1423.992
|  
| <small><small>[[9/4]]</small></small>, '''<u>[[25/11]]'''</u>, '''[[16/7]]''', <small>[[23/10]]</small>, <small><small>[[30/13]]</small></small>
| ^<sup>4</sup>M2 +1 oct
| 216
|-
|-
| 25
| 25
| 1483.325
| 1483.325
| [[7/3]]
| <small>[[7/3]]</small>, '''[[26/11]]''', [[19/8]], <small><small>[[31/13]]</small></small>
|  
| vvvm3 +1 oct
|  
| 225
|  
|-
|  
| 26
|  
| 1542.657
|  
| <small><small><small>[[12/5]]</small></small></small>, <small>[[29/12]]</small>, '''[[17/7]]''', '''<u>[[22/9]]'''</u>, [[27/11]], <small>[[32/13]]</small>
| ^<sup>6</sup>m3 +1 oct
| 234
|-
|-
| 27
| 27
| 1601.990
| 1601.990
| [[5/2]]
| <small>[[5/2]]</small>, <small>[[28/11]]</small>, <small><small>[[23/9]]</small></small>
|  
| ^M3 +1 oct
|  
| 243
|
|
|
|
|-
|-
| 28
| 28
| 1661.323
| 1661.323
| [[13/5]]
| <small><small><small>[[18/7]]</small></small></small>, <small>[[31/12]]</small>, '''[[13/5]]''', '''[[21/8]]''', <small>[[29/11]]</small>
|  
| v<sup>6</sup>4 +1 oct
|  
| 252
|
|
|
|
|-
|-
| 29
| 29
| 1720.656
| 1720.656
| [[8/3]], [[27/10]]
| <small><small>[[8/3]]</small></small>, '''<u>[[27/10]]'''</u>, '''[[19/7]]''', <small>[[30/11]]</small>
|  
| ^^^4 +1 oct
|  
| 261
|
|
|
|
|-
|-
| 30
| 30
| 1779.989
| 1779.989
| [[14/5]]
| <small><small><small>[[11/4]]</small></small></small>, [[25/9]], '''<u>[[14/5]]'''</u>, [[31/11]], <small><small>[[17/6]]</small></small>
|  
| vvA4 +1 oct
|  
| 270
|  
|-
|  
| 31
|  
| 1839.322
|  
| <small><small>[[20/7]]</small></small>, [[23/8]], '''<u>[[26/9]]'''</u>, '''<u>[[29/10]]'''</u>, '''[[32/11]]'''
| ^<sup>5</sup>d5 +1 oct
| 279
|-
|-
| 32
| 32
| 1898.655
| 1898.655
| [[3/1]]
| '''<u>[[3/1]]'''</u>
|  
| P5 +1 oct
|  
| 288
|
|
|
|
|-
|-
| 33
| 33
| 1957.988
| 1957.988
| [[31/10]]
| '''<u>[[31/10]]'''</u>, '''[[28/9]]''', [[25/8]], <small><small>[[22/7]]</small></small>
|  
| v<sup>7</sup>m6 +1 oct
|  
| 297
|
|
|
|
|-
|-
| 34
| 34
| 2017.321
| 2017.321
| [[16/5]]
| <small><small>[[19/6]]</small></small>, '''<u>[[16/5]]'''</u>, '''[[29/9]]''', <small><small>[[13/4]]</small></small>
|  
| ^^m6 +1 oct
|  
| 306
|
|
|
|
|-
|-
| 35
| 35
| 2076.654
| 2076.654
| [[10/3]]
| <small>[[23/7]]</small>, '''[[10/3]]''', <small><small><small>[[27/8]]</small></small></small>
|  
| vvvM6 +1 oct
|  
| 315
|
|
|
|
|-
|-
| 36
| 36
| 2135.987
| 2135.987
| [[24/7]]
| <small>[[17/5]]</small>, '''<u>[[24/7]]'''</u>, '''[[31/9]]'''
|  
| ^<sup>6</sup>M6 +1 oct
|  
| 324
|
|
|
|
|-
|-
| 37
| 37
| 2195.320
| 2195.320
| [[7/2]], [[32/9]]
| <small><small><small>[[7/2]]</small></small></small>, '''<u>[[32/9]]'''</u>, '''[[25/7]]''', <small><small>[[18/5]]</small></small>
|  
| vm7 +1 oct
|  
| 333
|
|
|
|
|-
|-
| 38
| 38
| 2254.653
| 2254.653
| [[11/3]]
| <small><small><small>[[29/8]]</small></small></small>, '''[[11/3]]''', <small>[[26/7]]</small>
|  
| v<sup>6</sup>M7 +1 oct
|  
| 342
|
|
|
|
|-
|-
| 39
| 39
| 2313.986
| 2313.986
| [[19/5]]
| <small><small><small>[[15/4]]</small></small></small>, '''<u>[[19/5]]'''</u>, [[23/6]], <small><small>[[27/7]]</small></small>
|  
| ^^^M7 +1 oct
|  
| 351
|
|
|
|
|-
|-
| 40
| 40
| 2373.319
| 2373.319
| [[4/1]]
| <small><small><small>[[31/8]]</small></small></small>, <small><small><small>[[4/1]]</small></small></small>
|  
| v<sup>4</sup>1 +2 oct
|  
| 360
|  
|-
|  
| 41
|  
| 2432.652
|  
| <small><small><small>[[29/7]]</small></small></small>
| ^<sup>5</sup>1 +2 oct
| 369
|-
| 42
| 2491.985
| <small><small>[[25/6]]</small></small>, '''[[21/5]]''', [[17/4]], <small><small><small>[[30/7]]</small></small></small>
| vvm2 +2 oct
| 378
|-
| 43
| 2551.318
| [[13/3]], [[22/5]], <small><small><small>[[31/7]]</small></small></small>
| ~2 +2 oct
| 387
|-
|-
| 44
| 44
| 2610.651
| 2610.651
| [[9/2]]
| '''[[9/2]]''', <small><small>[[32/7]]</small></small>
|  
| ^^M2 +2 oct
|  
| 396
|
|
|
|
|-
|-
| 45
| 45
| 2669.984
| 2669.984
| [[14/3]]
| <small><small><small>[[23/5]]</small></small></small>, '''<u>[[14/3]]'''</u>, <small><small><small>[[19/4]]</small></small></small>
|  
| v<sup>5</sup>m3 +2 oct
|  
| 405
|
|
|
|
|-
|-
| 46
| 46
| 2729.317
| 2729.317
| [[29/6]]
| [[24/5]], '''<u>[[29/6]]'''</u>
|  
| ^<sup>4</sup>m3 +2 oct
|  
| 414
|
|
|
|
|-
|-
| 47
| 47
| 2788.650
| 2788.650
| [[5/1]]
| '''<u>[[5/1]]'''</u>
|  
| vM3 +2 oct
|  
| 423
|  
|-
|  
| 48
|  
| 2847.983
|  
| '''<u>[[31/6]]'''</u>, '''[[26/5]]''', <small><small>[[21/4]]</small></small>
| v<sup>6</sup>A3 +2 oct, ^<sup>6</sup>d4 +2 oct
| 432
|-
| 49
| 2907.316
| '''[[16/3]]''', [[27/5]]
| ^4 +2 oct
| 441
|-
| 50
| 2966.649
| <small>[[11/2]]</small>, <small>[[28/5]]</small>
| v<sup>4</sup>A4 +2 oct
| 450
|-
|-
| 51
| 51
| 3025.982
| 3025.982
| [[23/4]]
| <small><small>[[17/3]]</small></small>, '''<u>[[23/4]]'''</u>, <small>[[29/5]]</small>
|  
| ^^^d5 +2 oct
|  
| 459
|
|
|
|
|-
|-
| 52
| 52
| 3085.315
| 3085.315
| [[6/1]]
| <small>[[6/1]]</small>
|  
| vv5 +2 oct
|  
| 468
|  
|-
|  
| 53
|  
| 3144.648
|  
| [[31/5]], <small><small><small>[[25/4]]</small></small></small>
| ^<sup>7</sup>5 +2 oct
| 477
|-
| 54
| 3203.981
| '''[[19/3]]''', '''[[32/5]]'''
| m6 +2 oct
| 486
|-
| 55
| 3263.314
| <small><small>[[13/2]]</small></small>, <small><small>[[20/3]]</small></small>
| v<sup>5</sup>M6 +2 oct
| 495
|-
| 56
| 3322.647
| <small>[[27/4]]</small>
| ^<sup>4</sup>M6 +2 oct
| 504
|-
|-
| 57
| 57
| 3381.980
| 3381.980
| [[7/1]]
| [[7/1]]
|  
| vvvm7 +2 oct
|  
| 513
|  
|-
|  
| 58
|  
| 3441.313
|  
| [[29/4]], '''[[22/3]]'''
| ^<sup>6</sup>m7 +2 oct
| 522
|-
| 59
| 3500.646
| [[15/2]], <small><small><small>[[23/3]]</small></small></small>
| ^M7 +2 oct
| 531
|-
| 60
| 3559.979
| <small>[[31/4]]</small>
| v<sup>6</sup>1 +3 oct
| 540
|-
|-
| 61
| 61
| 3619.312
| 3619.312
| [[8/1]]
| <small>[[8/1]]</small>
|  
| ^^^1 +3 oct
|  
| 549
|  
|-
|  
| 62
|  
| 3678.645
|  
| '''[[25/3]]''', <small><small><small>[[17/2]]</small></small></small>
| v<sup>4</sup>m2 +3 oct
| 558
|-
|-
| 63
| 63
| 3737.978
| 3737.978
| [[26/3]]
| '''<u>[[26/3]]'''</u>
|  
| ^<sup>5</sup>m2 +3 oct
|  
| 567
|
|
|
|
|-
|-
| 64
| 64
| 3797.311
| 3797.311
| [[9/1]]
| '''[[9/1]]'''
|  
| M2 +3 oct
|  
| 576
|  
|-
|  
| 65
|  
| 3856.644
|  
| [[28/3]]
| v<sup>7</sup>m3 +3 oct
| 585
|-
| 66
| 3915.977
| <small>[[19/2]]</small>, [[29/3]]
| ^^m3 +3 oct
| 594
|-
|-
| 67
| 67
| 3975.310
| 3975.310
| [[10/1]]
| [[10/1]]
|  
| vvvM3 +3 oct
|  
| 603
|  
|-
|  
| 68
|  
| 4034.643
|  
| '''[[31/3]]'''
| ^<sup>6</sup>M3 +3 oct
| 612
|-
| 69
| 4093.976
| <small><small>[[21/2]]</small></small>, '''<u>[[32/3]]'''</u>
| v4 +3 oct
| 621
|-
|-
| 70
| 70
| 4153.309
| 4153.309
| [[11/1]]
| '''<u>[[11/1]]'''</u>
|  
| v<sup>6</sup>A4 +3 oct
|  
| 630
|  
|-
|  
| 71
|  
| 4212.642
| <small>[[23/2]]</small>
| ^d5 +3 oct
| 639
|-
| 72
| 4271.975
|  
|  
| v<sup>4</sup>5 +3 oct
| 648
|-
| 73
| 4331.308
| <small><small><small>[[12/1]]</small></small></small>
| ^<sup>5</sup>5 +3 oct
| 657
|-
| 74
| 4390.641
| <small>[[25/2]]</small>
| vvm6 +3 oct
| 666
|-
|-
| 75
| 75
| 4449.974
| 4449.974
| [[13/1]]
| '''[[13/1]]'''
|  
| ~6 +3 oct
|  
| 675
|  
|-
|  
| 76
|  
| 4509.307
|  
| '''<u>[[27/2]]'''</u>
| ^^M6 +3 oct
| 684
|-
|-
| 77
| 77
| 4568.640
| 4568.640
| [[14/1]]
| '''<u>[[14/1]]'''</u>
|  
| v<sup>5</sup>m7 +3 oct
|  
| 693
|
|
|
|
|-
|-
| 78
| 78
| 4627.972
| 4627.972
| [[29/2]]
| '''<u>[[29/2]]'''</u>
|  
| ^<sup>4</sup>m7 +3 oct
|  
| 702
|
|
|
|
|-
|-
| 79
| 79
| 4687.305
| 4687.305
| [[15/1]]
| '''<u>[[15/1]]'''</u>
|  
| vM7 +3 oct
|  
| 711
|
|
|
|
|-
|-
| 80
| 80
| 4746.638
| 4746.638
| [[31/2]]
| '''<u>[[31/2]]'''</u>
|  
| v<sup>6</sup>A7 +3 oct, ^<sup>6</sup>d1 +4 oct
|  
| 720
|
|
|
|
|-
|-
| 81
| 81
| 4805.971
| 4805.971
| [[16/1]]
| '''[[16/1]]'''
|  
| ^1 +4 oct
|  
| 729
|-
| 82
| 4865.304
|  
|  
| v<sup>6</sup>m2 +4 oct
| 738
|-
| 83
| 4924.637
| <small>[[17/1]]</small>
| ^^^m2 +4 oct
| 747
|-
| 84
| 4983.970
| <small><small>[[18/1]]</small></small>
| vvM2 +4 oct
| 756
|-
| 85
| 5043.303
|  
|  
| ^<sup>7</sup>M2 +4 oct
| 765
|-
| 86
| 5102.636
| '''[[19/1]]'''
| m3 +4 oct
| 774
|-
| 87
| 5161.969
| <small><small>[[20/1]]</small></small>
| v<sup>5</sup>M3 +4 oct
| 783
|-
| 88
| 5221.302
|  
|  
| ^<sup>4</sup>M3 +4 oct
| 792
|-
| 89
| 5280.635
| '''[[21/1]]'''
| vvv4 +4 oct
| 801
|-
| 90
| 5339.968
| [[22/1]]
| ^<sup>6</sup>4 +4 oct
| 810
|-
| 91
| 5399.301
| <small><small><small>[[23/1]]</small></small></small>
| ^A4 +4 oct, vd5 +4 oct
| 819
|-
| 92
| 5458.634
|  
|  
| v<sup>6</sup>5 +4 oct
| 828
|-
| 93
| 5517.967
| <small>[[24/1]]</small>
| ^^^5 +4 oct
| 837
|-
| 94
| 5577.300
| '''<u>[[25/1]]'''</u>
| v<sup>4</sup>m6 +4 oct
| 846
|-
| 95
| 5636.633
| '''<u>[[26/1]]'''</u>
| ^<sup>5</sup>m6 +4 oct
| 855
|-
| 96
| 5695.966
| [[27/1]]
| M6 +4 oct
| 864
|-
| 97
| 5755.299
| [[28/1]]
| v<sup>7</sup>m7 +4 oct
| 873
|-
| 98
| 5814.632
| <small>[[29/1]]</small>
| ^^m7 +4 oct
| 882
|-
| 99
| 5873.965
| [[30/1]]
| vvvM7 +4 oct
| 891
|-
| 100
| 5933.298
| [[31/1]]
| ^<sup>6</sup>M7 +4 oct
| 900
|-
| 101
| 5992.631
| '''[[32/1]]'''
| v1 +5 oct
| 909
|}
|}


Line 614: Line 682:
The following table illustrates the representation of the 32-integer limit intervals in 71zpi. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''.  
The following table illustrates the representation of the 32-integer limit intervals in 71zpi. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''.  


The threshold is calculated using the formula: abs (cents_error) < (1200 / (n * d)), where n/d denotes the octave-reduced ratio.
{| class="wikitable center-1 right-2 right-3 mw-collapsible mw-collapsed"
 
{| class="wikitable center-all mw-collapsible mw-collapsed"
|+ style="white-space: nowrap;" | Intervals by direct approximation (even if inconsistent)
|+ style="white-space: nowrap;" | Intervals by direct approximation (even if inconsistent)
|-
|-
! Ratio
! Ratio
! Error (abs, [[Cent| ¢]])
! Error (abs, [[Cent|¢]])
! Error (rel, [[Relative cent| %]])
! Error (rel, [[Relative cent|%]])
|-
|-
| [[14/1]]
| [[14/1]]
| 0.186
| +0.186
| 0.314
| +0.314
|-
|-
| [[11/5]]
| [[11/5]]
| 0.346
| +0.346
| 0.583
| +0.583
|-
|-
| ''[[17/8]]''
| ''[[17/8]]''
| ''0.370''
| ''-0.370''
| ''0.624''
| ''-0.624''
|-
|-
| [[31/22]]
| [[31/22]]
| 0.388
| +0.388
| 0.654
| +0.654
|-
|-
| [[21/13]]
| [[21/13]]
| 0.408
| -0.408
| 0.688
| -0.688
|-
|-
| [[25/19]]
| [[25/19]]
| 0.451
| +0.451
| 0.759
| +0.759
|-
|-
| [[26/3]]
| [[26/3]]
| 0.595
| +0.595
| 1.003
| +1.003
|-
|-
| [[30/29]]
| [[30/29]]
| 0.641
| -0.641
| 1.081
| -1.081
|-
|-
| [[31/10]]
| [[31/10]]
| 0.733
| +0.733
| 1.236
| +1.236
|-
|-
| ''[[32/9]]''
| ''[[32/9]]''
| ''0.770''
| ''+0.770''
| ''1.297''
| ''+1.297''
|-
|-
| [[15/14]]
| [[15/14]]
| 0.777
| +0.777
| 1.309
| +1.309
|-
|-
| ''[[19/16]]''
| ''[[19/16]]''
| ''0.848''
| ''+0.848''
| ''1.429''
| ''+1.429''
|-
|-
| [[15/1]]
| [[15/1]]
| 0.963
| +0.963
| 1.623
| +1.623
|-
|-
| [[23/12]]
| [[23/12]]
| 1.007
| -1.007
| 1.698
| -1.698
|-
|-
| [[27/10]]
| [[27/10]]
| 1.105
| -1.105
| 1.863
| -1.863
|-
|-
| ''[[25/16]]''
| ''[[25/16]]''
| ''1.299''
| ''+1.299''
| ''2.189''
| ''+2.189''
|-
|-
| [[29/28]]
| [[29/28]]
| 1.418
| +1.418
| 2.390
| +2.390
|-
|-
| [[27/22]]
| [[27/22]]
| 1.451
| -1.451
| 2.445
| -2.445
|-
|-
| [[31/2]]
| [[31/2]]
| 1.603
| -1.603
| 2.702
| -2.702
|-
|-
| [[29/2]]
| [[29/2]]
| 1.605
| +1.605
| 2.705
| +2.705
|-
|-
| [[29/6]]
| [[29/6]]
| 1.695
| -1.695
| 2.857
| -2.857
|-
| [[31/28]]
| -1.789
| -3.016
|-
| [[31/27]]
| +1.839
| +3.099
|-
|-
| '''[[11/1]]'''
| '''[[11/1]]'''
| '''1.991'''
| '''-1.991'''
| '''3.355'''
| '''-3.355'''
|-
|-
| [[14/11]]
| [[14/11]]
| 2.177
| +2.177
| 3.669
| +3.669
|-
|-
| [[23/4]]
| [[23/4]]
| 2.292
| +2.292
| 3.864
| +3.864
|-
|-
| '''[[5/1]]'''
| '''[[5/1]]'''
| '''2.336'''
| '''-2.336'''
| '''3.938'''
| '''-3.938'''
|-
|-
| [[14/5]]
| [[14/5]]
| 2.523
| +2.523
| 4.252
| +4.252
|-
| ''[[32/27]]''
| ''-2.530''
| ''-4.264''
|-
| [[31/30]]
| -2.566
| -4.325
|-
| [[25/11]]
| -2.682
| -4.520
|-
| [[26/9]]
| -2.705
| -4.559
|-
|-
| [[19/5]]
| [[19/5]]
| 2.787
| -2.787
| 4.697
| -4.697
|-
|-
| ''[[24/7]]''
| ''[[24/7]]''
| ''2.858''
| ''-2.858''
| ''4.817''
| ''-4.817''
|-
|-
| [[26/15]]
| [[26/15]]
| 2.931
| +2.931
| 4.940
| +4.940
|-
|-
| [[15/11]]
| [[15/11]]
| 2.954
| +2.954
| 4.979
| +4.979
|-
|-
| [[14/3]]
| [[14/3]]
| 3.113
| -3.113
| 5.247
| -5.247
|-
|-
| [[19/11]]
| [[19/11]]
| 3.133
| -3.133
| 5.280
| -5.280
|-
| [[31/29]]
| -3.208
| -5.406
|-
|-
| '''[[3/1]]'''
| '''[[3/1]]'''
| '''3.300'''
| '''+3.300'''
| '''5.561'''
| '''+5.561'''
|-
| [[27/2]]
| -3.442
| -5.800
|-
|-
| ''[[16/13]]''
| ''[[16/13]]''
| ''3.474''
| ''+3.474''
| ''5.856''
| ''+5.856''
|-
| [[29/22]]
| +3.595
| +6.060
|-
| [[28/27]]
| +3.628
| +6.115
|-
|-
| ''[[16/5]]''
| ''[[16/5]]''
| ''3.635''
| ''-3.635''
| ''6.127''
| ''-6.127''
|-
| ''[[24/17]]''
| ''+3.670''
| ''+6.185''
|-
|-
| [[13/7]]
| [[13/7]]
| 3.708
| +3.708
| 6.250
| +6.250
|-
| ''[[21/16]]''
| ''-3.883''
| ''-6.544''
|-
| [[26/1]]
| +3.894
| +6.564
|-
| [[29/10]]
| +3.941
| +6.642
|-
|-
| ''[[16/11]]''
| ''[[16/11]]''
| ''3.981''
| ''-3.981''
| ''6.709''
| ''-6.709''
|-
| ''[[32/3]]''
| ''+4.069''
| ''+6.858''
|-
|-
| [[19/13]]
| [[19/13]]
| 4.323
| +4.323
| 7.285
| +7.285
|-
| ''[[32/31]]''
| ''-4.369''
| ''-7.363''
|-
|-
| [[10/9]]
| [[10/9]]
| 4.405
| +4.405
| 7.424
| +7.424
|-
| [[23/20]]
| +4.629
| +7.801
|-
| [[25/1]]
| -4.673
| -7.875
|-
| [[21/19]]
| -4.731
| -7.974
|-
| [[22/9]]
| +4.750
| +8.006
|-
| [[25/13]]
| +4.773
| +8.045
|-
| [[25/14]]
| -4.859
| -8.190
|-
| [[31/6]]
| -4.903
| -8.263
|-
| [[29/18]]
| -4.995
| -8.418
|-
| [[29/27]]
| +5.046
| +8.505
|-
| '''[[19/1]]'''
| '''-5.123'''
| '''-8.635'''
|-
| [[31/9]]
| +5.138
| +8.660
|-
| [[25/21]]
| +5.182
| +8.733
|-
|-
| [[11/3]]
| [[11/3]]
| 5.290
| -5.290
| 8.916
| -8.916
|-
| [[19/14]]
| -5.310
| -8.949
|-
|-
| [[5/3]]
| [[5/3]]
| 5.636
| -5.636
| 9.499
| -9.499
|-
| [[26/11]]
| +5.885
| +9.919
|-
|-
| ''[[16/1]]''
| ''[[16/1]]''
| ''5.971''
| ''-5.971''
| ''10.064''
| ''-10.064''
|-
| [[27/26]]
| +6.004
| +10.120
|-
| [[19/15]]
| -6.087
| -10.258
|-
|-
| ''[[8/7]]''
| ''[[8/7]]''
| ''6.158''
| ''-6.158''
| ''10.378''
| ''-10.378''
|-
| [[26/5]]
| +6.231
| +10.502
|-
| ''[[32/15]]''
| ''+6.406''
| ''+10.796''
|-
|-
| [[14/9]]
| [[14/9]]
| 6.413
| -6.413
| 10.808
| -10.808
|-
| [[17/7]]
| -6.528
| -11.002
|-
| ''[[24/13]]''
| ''-6.566''
| ''-11.067''
|-
|-
| [[9/1]]
| [[9/1]]
| 6.599
| +6.599
| 11.122
| +11.122
|-
|-
| [[9/2]]
| [[9/2]]
| 6.741
| -6.741
| 11.362
| -11.362
|-
| [[28/9]]
| +6.928
| +11.676
|-
| ''[[16/15]]''
| ''-6.935''
| ''-11.688''
|-
|-
| [[13/5]]
| [[13/5]]
| 7.110
| -7.110
| 11.982
| -11.982
|-
| ''[[16/7]]''
| ''+7.183''
| ''+12.106''
|-
| ''[[32/1]]''
| ''+7.369''
| ''+12.420''
|-
|-
| [[13/11]]
| [[13/11]]
| 7.455
| -7.455
| 12.565
| -12.565
|-
| [[21/5]]
| -7.518
| -12.671
|-
| ''[[32/29]]''
| ''-7.576''
| ''-12.769''
|-
|-
| [[10/3]]
| [[10/3]]
| 7.704
| +7.704
| 12.985
| +12.985
|-
| [[31/26]]
| +7.843
| +13.219
|-
| [[21/11]]
| -7.864
| -13.253
|-
| [[25/3]]
| -7.972
| -13.437
|-
| [[19/7]]
| +8.031
| +13.535
|-
| [[22/3]]
| +8.050
| +13.568
|-
| [[31/18]]
| -8.202
| -13.824
|-
| [[29/9]]
| +8.346
| +14.066
|-
| [[19/3]]
| -8.423
| -14.196
|-
| [[31/3]]
| +8.438
| +14.221
|-
| [[25/7]]
| +8.481
| +14.294
|-
| [[26/25]]
| +8.567
| +14.439
|-
|-
| [[11/9]]
| [[11/9]]
| 8.590
| -8.590
| 14.478
| -14.478
|-
|-
| [[9/5]]
| [[9/5]]
| 8.936
| +8.936
| 15.060
| +15.060
|-
| [[26/19]]
| +9.018
| +15.199
|-
| [[23/18]]
| +9.033
| +15.225
|-
| ''[[16/3]]''
| ''-9.271''
| ''-15.625''
|-
| ''[[32/11]]''
| ''+9.360''
| ''+15.775''
|-
| [[29/20]]
| -9.399
| -15.842
|-
|-
| '''[[13/1]]'''
| '''[[13/1]]'''
| '''9.446'''
| '''-9.446'''
| '''15.920'''
| '''-15.920'''
|-
| ''[[21/8]]''
| ''+9.457''
| ''+15.940''
|-
| [[14/13]]
| +9.632
| +16.234
|-
| ''[[17/12]]''
| ''+9.671''
| ''+16.299''
|-
| ''[[32/5]]''
| ''+9.705''
| ''+16.357''
|-
| [[27/14]]
| +9.712
| +16.369
|-
| [[21/17]]
| +9.828
| +16.563
|-
| [[21/1]]
| -9.854
| -16.609
|-
|-
| ''[[13/8]]''
| ''[[13/8]]''
| ''9.866''
| ''+9.866''
| ''16.628''
| ''+16.628''
|-
| [[27/1]]
| +9.899
| +16.684
|-
|-
| [[3/2]]
| [[3/2]]
| 10.041
| -10.041
| 16.923
| -16.923
|-
| [[28/3]]
| +10.227
| +17.237
|-
| [[17/13]]
| -10.236
| -17.252
|-
| [[22/15]]
| +10.386
| +17.505
|-
| [[15/13]]
| +10.409
| +17.544
|-
| ''[[23/17]]''
| ''-10.678''
| ''-17.997''
|-
| [[31/15]]
| +10.774
| +18.159
|-
|-
| [[7/5]]
| [[7/5]]
| 10.818
| -10.818
| 18.232
| -18.232
|-
| ''[[24/19]]''
| ''-10.889''
| ''-18.352''
|-
|-
| [[10/1]]
| [[10/1]]
| 11.004
| +11.004
| 18.546
| +18.546
|-
| [[23/8]]
| -11.048
| -18.620
|-
| [[29/26]]
| +11.051
| +18.625
|-
|-
| [[11/7]]
| [[11/7]]
| 11.163
| +11.163
| 18.815
| +18.815
|-
| [[25/9]]
| -11.272
| -18.998
|-
| ''[[25/24]]''
| ''+11.339''
| ''+19.112''
|-
| [[22/1]]
| +11.350
| +19.129
|-
| [[31/14]]
| +11.551
| +19.468
|-
| [[29/3]]
| +11.645
| +19.627
|-
| [[19/9]]
| -11.723
| -19.757
|-
| [[29/4]]
| -11.736
| -19.779
|-
| '''[[31/1]]'''
| '''+11.738'''
| '''+19.782'''
|-
| [[27/11]]
| +11.890
| +20.039
|-
| ''[[32/25]]''
| ''+12.042''
| ''+20.295''
|-
| [[27/5]]
| +12.235
| +20.621
|-
| [[23/6]]
| +12.333
| +20.786
|-
| [[15/2]]
| -12.377
| -20.860
|-
| ''[[32/19]]''
| ''+12.492''
| ''+21.055''
|-
| [[28/15]]
| +12.564
| +21.175
|-
| ''[[16/9]]''
| ''-12.571''
| ''-21.187''
|-
| [[31/20]]
| -12.607
| -21.248
|-
| [[13/3]]
| -12.746
| -21.481
|-
| ''[[17/4]]''
| ''+12.970''
| ''+21.860''
|-
| [[11/10]]
| -12.995
| -21.901
|-
|-
| '''[[7/1]]'''
| '''[[7/1]]'''
| '''13.154'''
| '''-13.154'''
| '''22.170'''
| '''-22.170'''
|-
|-
| '''[[2/1]]'''
| '''[[2/1]]'''
| '''13.340'''
| '''+13.340'''
| '''22.484'''
| '''+22.484'''
|-
| [[28/1]]
| +13.527
| +22.798
|-
| ''[[24/5]]''
| ''-13.676''
| ''-23.049''
|-
| [[22/5]]
| +13.686
| +23.067
|-
| ''[[17/16]]''
| ''-13.711''
| ''-23.108''
|-
| [[31/11]]
| +13.728
| +23.138
|-
| [[26/21]]
| +13.749
| +23.172
|-
| [[29/15]]
| +13.982
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|-
| ''[[24/11]]''
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| ''-23.632''
|-
| [[29/23]]
| -14.028
| -23.643
|-
| [[31/5]]
| +14.074
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|-
| [[15/7]]
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| +23.793
|-
| ''[[19/8]]''
| ''+14.188''
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|-
| [[30/1]]
| +14.304
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|-
| [[24/23]]
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|-
| [[27/20]]
| -14.446
| -24.347
|-
| [[19/17]]
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|-
| [[27/25]]
| +14.572
| +24.559
|-
| ''[[25/8]]''
| ''+14.639''
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|-
| [[30/23]]
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| -24.724
|-
| [[29/14]]
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|-
| [[31/4]]
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|-
| '''[[29/1]]'''
| '''+14.945'''
| '''+25.189'''
|-
| [[25/17]]
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|-
| [[27/19]]
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|-
| [[29/12]]
| -15.035
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|-
| ''[[20/17]]''
| ''-15.307''
| ''-25.798''
|-
| [[11/2]]
| -15.331
| -25.839
|-
| [[28/23]]
| -15.446
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|-
| [[28/11]]
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|-
| [[23/2]]
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| +26.347
|-
|-
| [[5/2]]
| [[5/2]]
| 15.677
| -15.677
| 26.422
| -26.422
|-
| [[28/5]]
| +15.863
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|-
| ''[[27/16]]''
| ''+15.870''
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|-
| ''[[24/1]]''
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| ''-26.987''
|-
| [[25/22]]
| -16.022
| -27.004
|-
| [[13/9]]
| -16.045
| -27.043
|-
| [[19/10]]
| -16.127
| -27.181
|-
| ''[[12/7]]''
| ''-16.199''
| ''-27.301''
|-
| [[30/11]]
| +16.294
| +27.463
|-
| [[31/25]]
| +16.410
| +27.658
|-
|-
| [[7/3]]
| [[7/3]]
| 16.454
| -16.454
| 27.731
| -27.731
|-
| [[22/19]]
| +16.473
| +27.764
|-
|-
| [[6/1]]
| [[6/1]]
| 16.640
| +16.640
| 28.045
| +28.045
|-
| [[27/4]]
| -16.782
| -28.284
|-
| ''[[32/13]]''
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|-
| [[31/19]]
| +16.861
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|-
| [[29/11]]
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|-
| ''[[8/5]]''
| ''[[8/5]]''
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| ''-16.975''
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|-
| [[26/7]]
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|-
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|-
| ''[[32/21]]''
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|-
| [[31/23]]
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| -29.049
|-
| [[29/5]]
| +17.281
| +29.126
|-
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|-
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| -29.234
|-
| [[23/22]]
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| +29.703
|-
| [[17/11]]
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| -29.817
|-
| ''[[31/16]]''
| ''+17.709''
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|-
| [[20/9]]
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| +29.908
|-
| [[23/10]]
| +17.969
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|-
| [[25/2]]
| -18.013
| -30.359
|-
| [[28/25]]
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|-
| [[31/12]]
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| -30.747
|-
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|-
| [[11/6]]
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| -31.400
|-
| [[28/19]]
| +18.650
| +31.433
|-
|-
| [[6/5]]
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| 18.976
| +18.976
| 31.983
| +31.983
|-
| [[27/23]]
| -19.074
| -32.148
|-
|-
| ''[[8/1]]''
| ''[[8/1]]''
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| ''32.548''
| ''-32.548''
|-
| [[27/13]]
| +19.345
| +32.604
|-
| [[30/19]]
| +19.427
| +32.742
|-
|-
| ''[[7/4]]''
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| ''19.498''
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| ''+32.862''
|-
| [[29/25]]
| +19.618
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|-
| '''[[17/1]]'''
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| '''-33.172'''
|-
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| ''-33.222''
|-
| [[9/7]]
| +19.753
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|-
| [[17/14]]
| -19.868
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|-
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| ''+19.907''
| ''+33.551''
|-
| [[18/1]]
| +19.940
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|-
| [[29/19]]
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|-
| [[9/4]]
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|-
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|-
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|-
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|-
| ''[[32/7]]''
| ''+20.523''
| ''+34.589''
|-
| [[17/15]]
| -20.645
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|-
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|-
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|-
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|-
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|-
| [[20/3]]
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|-
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|-
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|-
| [[25/6]]
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| -35.921
|-
| [[31/21]]
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|-
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|-
| [[19/6]]
| -21.763
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|-
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|-
| [[18/11]]
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|-
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|-
| [[23/9]]
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|-
|-
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|-
| [[13/2]]
| -22.786
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|-
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|-
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|-
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|-
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|-
| [[27/7]]
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|-
| [[21/2]]
| -23.195
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|-
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|-
|-
| [[4/3]]
| [[4/3]]
| 23.381
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| 39.407
| +39.407
|-
| [[26/17]]
| +23.576
| +39.736
|-
| [[30/13]]
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|-
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|-
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|-
| [[20/1]]
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|-
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| -41.104
|-
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|-
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|-
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|-
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| ''+41.595''
|-
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| ''-24.706''
| ''-41.639''
|-
| [[29/21]]
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| +41.797
|-
| [[31/7]]
| +24.891
| +41.952
|-
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| -42.241
|-
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| -25.076
| -42.263
|-
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| -25.079
| -42.268
|-
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|-
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|-
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|-
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|-
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|-
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|-
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| -43.344
|-
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|-
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| -43.965
|-
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|-
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| ''-26.239''
| ''-44.224''
|-
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| -26.281
| -44.294
|-
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| ''+26.311''
| ''+44.344''
|-
| [[20/11]]
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| +44.385
|-
|-
| [[7/2]]
| [[7/2]]
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| -26.494
| 44.654
| -44.654
|-
|-
| [[4/1]]
| [[4/1]]
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| +26.681
| 44.968
| +44.968
|-
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| ''-45.533''
|-
| ''[[32/17]]''
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| ''+45.592''
|-
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| ''-27.362''
| ''-46.116''
|-
| [[30/7]]
| +27.458
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|-
| ''[[19/4]]''
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| ''+46.397''
|-
| ''[[31/24]]''
| ''+27.750''
| ''+46.769''
|-
| ''[[31/17]]''
| ''-27.913''
| ''-47.045''
|-
| ''[[25/4]]''
| ''+27.979''
| ''+47.157''
|-
| [[23/15]]
| +28.010
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|-
| ''[[23/5]]''
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| ''-47.231''
|-
| [[29/7]]
| +28.099
| +47.358
|-
| [[31/8]]
| -28.284
| -47.669
|-
| ''[[22/17]]''
| ''-28.301''
| ''-47.699''
|-
| ''[[23/11]]''
| ''-28.369''
| ''-47.813''
|-
| [[29/24]]
| -28.376
| -47.824
|-
| ''[[17/10]]''
| ''+28.647''
| ''+48.282''
|-
| [[11/4]]
| -28.671
| -48.323
|-
| [[23/14]]
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|-
| '''[[23/1]]'''
| '''+28.973'''
| '''+48.831'''
|-
|-
| [[5/4]]
| [[5/4]]
| 29.017
| -29.017
| 48.906
| -48.906
|-
| ''[[27/8]]''
| ''+29.211''
| ''+49.232''
|-
| ''[[12/1]]''
| ''-29.353''
| ''-49.471''
|-
| [[18/13]]
| +29.386
| +49.526
|-
| [[20/19]]
| +29.468
| +49.665
|-
| ''[[7/6]]''
| ''+29.539''
| ''+49.785''
|-
| [[27/17]]
| +29.581
| +49.856
|}
|}


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