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→5L 3s as diatonic with a fifth sharper than 5edo: Fix the collapsed scale (had 3 of the major_third/fourth note and only 1 of the major_seventh/octave)
 
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5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo|5edo]] = 480¢) to 3\8 (three degrees of [[8edo|8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:
{{Interwiki
| en = 5L 3s
| de =
| es =
| ja = 5L 3s
| ko = 5L3s (Korean)
}}
{{Infobox MOS
| Neutral = 2L 6s
}}
: ''For the tritave-equivalent MOS structure with the same step pattern, see [[5L 3s (3/1-equivalent)]].''
{{MOS intro}}
5L 3s can be seen as a [[Warped diatonic|warped diatonic scale]], because it has one extra small step compared to diatonic ([[5L 2s]]).


{| class="wikitable"
== Name ==
|-
{{TAMNAMS name}} 'Oneiro' is sometimes used as a shortened form.
! colspan="5" | generator
! | <span style="display: block; text-align: center;">tetrachord</span>
! | <span style="display: block; text-align: center;">g in cents</span>
! | <span style="display: block; text-align: center;">2g</span>
! | <span style="display: block; text-align: center;">3g</span>
! | <span style="display: block; text-align: center;">4g</span>
! | <span style="display: block; text-align: center;">Comments</span>
|-
| | 2\5
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">1 0 1</span>
| style="text-align:center;" | 480.000
| style="text-align:center;" | 960.000
| style="text-align:center;" | 240.00
| style="text-align:center;" | <span style="line-height: 15.6000003814697px;">720.000</span>
| style="text-align:center;" |
|-
| | 21\53
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">10 1 10</span>
| style="text-align:center;" | 475.472
| style="text-align:center;" | 950.943
| style="text-align:center;" | 226.415
| style="text-align:center;" | 701.887
| style="text-align:center;" | <span style="display: block; text-align: center;">Vulture/Buzzard is around here</span>
|-
| | 19\48
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">9 1 9</span>
| style="text-align:center;" | 475
| style="text-align:center;" | 950
| style="text-align:center;" | 225
| style="text-align:center;" | 700
| style="text-align:center;" |
|-
| | 17\43
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">8 1 8</span>
| style="text-align:center;" | 474.419
| style="text-align:center;" | 948.837
| style="text-align:center;" | 223.256
| style="text-align:center;" | 697.674
| style="text-align:center;" |
|-
| | 15\38
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">7 1 7</span>
| style="text-align:center;" | 473.684
| style="text-align:center;" | 947.368
| style="text-align:center;" | 221.053
| style="text-align:center;" | 694.737
| style="text-align:center;" |
|-
| | 13\33
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">6 1 6</span>
| style="text-align:center;" | 472.727
| style="text-align:center;" | 945.455
| style="text-align:center;" | 218.181
| style="text-align:center;" | 690.909
| style="text-align:center;" |
|-
| | 11\28
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">5 1 5</span>
| style="text-align:center;" | 471.429
| style="text-align:center;" | 942.857
| style="text-align:center;" | 214.286
| style="text-align:center;" | 685.714
| style="text-align:center;" |
|-
| | 9\23
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">4 1 4</span>
| style="text-align:center;" | 469.565
| style="text-align:center;" | 939.130
| style="text-align:center;" | 208.696
| style="text-align:center;" | 678.261
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = 4</span>
|-
| |
| |
| |
| |
| |
| style="text-align:center;" | pi 1 pi
| style="text-align:center;" | 467.171
| style="text-align:center;" | 934.3425
| style="text-align:center;" | 201.514
| style="text-align:center;" | 668.685
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
|-
| | 7\18
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">3 1 3</span>
| style="text-align:center;" | 466.667
| style="text-align:center;" | 933.333
| style="text-align:center;" | 200.000
| style="text-align:center;" | 666.667
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = 3</span>
|-
| |
| |
| |
| |
| |
| style="text-align:center;" | e 1 e
| style="text-align:center;" | 465.535
| style="text-align:center;" | 931.069
| style="text-align:center;" | 196.604
| style="text-align:center;" | 662.139
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
|-
| |
| | 19\49
| |
| |
| |
| style="text-align:center;" | 8 3 8
| style="text-align:center;" | 465.306
| style="text-align:center;" | 930.612
| style="text-align:center;" | 195.918
| style="text-align:center;" | 661.2245
| |
|-
| |
| |
| | 50\129
| |
| |
| style="text-align:center;" | 21 8 21
| style="text-align:center;" | 465.116
| style="text-align:center;" | 930.233
| style="text-align:center;" | 195.349
| style="text-align:center;" | 660.465
| |
|-
| |
| |
| |
| | 131\338
| |
| style="text-align:center;" | 55 21 55
| style="text-align:center;" | 465.089
| style="text-align:center;" | 930.1775
| style="text-align:center;" | 195.266
| style="text-align:center;" | 660.335
| |
|-
| |
| |
| |
| |
| | 212\547
| style="text-align:center;" | 89 34 89
| style="text-align:center;" | 465.082
| style="text-align:center;" | 930.1645
| style="text-align:center;" | 195.247
| style="text-align:center;" | 660.329
| |
|-
| |
| |
| |
| | 81\209
| |
| style="text-align:center;" | 34 13 34
| style="text-align:center;" | 465.072
| style="text-align:center;" | 930.1435
| style="text-align:center;" | 195.215
| style="text-align:center;" | 660.287
| |
|-
| |
| |
| | 31\80
| |
| |
| style="text-align:center;" | 13 5 13
| style="text-align:center;" | 465
| style="text-align:center;" | 930
| style="text-align:center;" | 195
| style="text-align:center;" | 660
| |
|-
| |
| | 12\31
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">5 2 5</span>
| style="text-align:center;" | 464.516
| style="text-align:center;" | 929.032
| style="text-align:center;" | 193.549
| style="text-align:center;" | 658.065
| style="text-align:center;" |
|-
| | 5\13
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">2 1 2</span>
| style="text-align:center;" | 461.538
| style="text-align:center;" | 923.077
| style="text-align:center;" | 184.615
| style="text-align:center;" | 646.154
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| style="text-align:center;" | <span style="background-color: #ffffff;">√3 1 √3</span>
| style="text-align:center;" | 459.417
| style="text-align:center;" | 918.8345
| style="text-align:center;" | 178.252
| style="text-align:center;" | 637.669
| |
|-
| |
| | 13\34
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">5 3 5</span>
| style="text-align:center;" | 458.824
| style="text-align:center;" | 917.647
| style="text-align:center;" | 176.471
| style="text-align:center;" | 635.294
| style="text-align:center;" |
|-
| |
| |
| | 34\89
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">13 8 13</span>
| style="text-align:center;" | 458.427
| style="text-align:center;" | 916.854
| style="text-align:center;" | 175.281
| style="text-align:center;" | 633.708
| style="text-align:center;" |
|-
| |
| |
| |
| | 89\233
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">34 21 34</span>
| style="text-align:center;" | <span style="line-height: 15.6000003814697px;">458.369</span>
| style="text-align:center;" | <span style="display: block; text-align: center;">916.738</span>
| style="text-align:center;" | 175.107
| style="text-align:center;" | <span style="line-height: 15.6000003814697px;">633.473</span>
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 233\610
| style="text-align:center;" | <span style="display: block; text-align: center;">89 55 89</span>
| style="text-align:center;" | 458.361
| style="text-align:center;" | 916.721
| style="text-align:center;" | 175.082
| style="text-align:center;" | 633.443
| style="text-align:center;" | <span style="display: block; text-align: center;">Golden father</span>
|-
| |
| |
| |
| | 144\377
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">55 34 55</span>
| style="text-align:center;" | 458.355
| style="text-align:center;" | 916.711
| style="text-align:center;" | 175.066
| style="text-align:center;" | 633.422
| style="text-align:center;" |
|-
| |
| |
| | 55\144
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">21 13 21</span>
| style="text-align:center;" | 458.333
| style="text-align:center;" | 916.666
| style="text-align:center;" | 175
| style="text-align:center;" | 633.333
| style="text-align:center;" |
|-
| |
| | 21\55
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">8 5 8</span>
| style="text-align:center;" | 458.182
| style="text-align:center;" | 916.364
| style="text-align:center;" | 174.545
| style="text-align:center;" | 632.727
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">pi 2 pi</span>
| style="text-align:center;" | 457.883
| style="text-align:center;" | 915.777
| style="text-align:center;" | 173.665
| style="text-align:center;" | 631.553
| |
|-
| | 8\21
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">3 2 3</span>
| style="text-align:center;" | 457.143
| style="text-align:center;" | 914.286
| style="text-align:center;" | 171.429
| style="text-align:center;" | 628.571
| style="text-align:center;" | <span style="display: block; text-align: center;">Optimum rank range (L/s=3/2) father</span>
|-
| | 11\29
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">4 3 4</span>
| style="text-align:center;" | 455.172
| style="text-align:center;" | 910.345
| style="text-align:center;" | 165.517
| style="text-align:center;" | 620.690
| style="text-align:center;" |
|-
| | 14\37
| |
| |
| |
| |
| style="text-align:center;" | 5 4 5
| style="text-align:center;" | 454.054
| style="text-align:center;" | 908.108
| style="text-align:center;" | 162.162
| style="text-align:center;" | 616.216
| |
|-
| | 17\45
| |
| |
| |
| |
| style="text-align:center;" | 6 5 6
| style="text-align:center;" | 453.333
| style="text-align:center;" | 906.667
| style="text-align:center;" | 160
| style="text-align:center;" | 613.333
| |
|-
| | 20\53
| |
| |
| |
| |
| style="text-align:center;" | 7 6 7
| style="text-align:center;" | 452.83
| style="text-align:center;" | 905.66
| style="text-align:center;" | 158.491
| style="text-align:center;" | 611.321
| |
|-
| | 23\61
| |
| |
| |
| |
| style="text-align:center;" | 8 7 8
| style="text-align:center;" | 452.459
| style="text-align:center;" | 904.918
| style="text-align:center;" | 157.377
| style="text-align:center;" | 609.836
| |
|-
| | 26\69
| |
| |
| |
| |
| style="text-align:center;" | 9 8 9
| style="text-align:center;" | 452.174
| style="text-align:center;" | 904.348
| style="text-align:center;" | 156.522
| style="text-align:center;" | 608.696
| |
|-
| | 29\77
| |
| |
| |
| |
| style="text-align:center;" | 10 9 10
| style="text-align:center;" | 451.948
| style="text-align:center;" | 903.896
| style="text-align:center;" | 155.844
| style="text-align:center;" | 607.792
| |
|-
| | 3\8
| |
| |
| |
| |
| style="text-align:center;" | <span style="display: block; text-align: center;">1 1 1</span>
| style="text-align:center;" | 450.000
| style="text-align:center;" | 900.000
| style="text-align:center;" | 150.000
| style="text-align:center;" | 600.000
| style="text-align:center;" |
|}
The only notable harmonic entropy minimum is Vulture/[[Hemifamity_temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region is a kind of wasteland in terms of harmonious MOSes.


By a weird coincidence, the other generator for this MOS will generate the same pattern within a tritave equivalence. By yet another weird coincidence, this MOS belongs to a temperament which has [[Bohlen-Pierce|Bohlen-Pierce]] as its index-2 subtemperament. In addition to being harmonious, this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable harmonic entropy minimum is near a greatly exaggerated 10/1 L/s ratio.
'Father' is sometimes also used to denote 5L&nbsp;3s, but it's a misnomer, as [[father]] is technically an abstract [[regular temperament]] (although a very inaccurate one), not a generator range. There are father tunings which generate 3L&nbsp;5s. A more correct but still not quite correct name would be 'father[8]' or 'father octatonic'. "Father" is also vague regarding the number of notes, because optimal generators for it also generate [[3L&nbsp;2s]].


{| class="wikitable"
== Scale properties ==
|-
 
! colspan="5" | generator
=== Intervals ===
! | tetrachord
{{MOS intervals}}
! | g in cents
 
! | 2g
=== Generator chain ===
! | 3g
{{MOS genchain}}
! | 4g
 
! | Comments
=== Modes ===
|-
{{MOS mode degrees}}
| style="text-align:center;" | 2\5
 
| style="text-align:center;" |
==== Proposed mode names ====
| style="text-align:center;" |
The following names have been proposed for the modes of 5L 3s, and are named after cities in the Dreamlands.
| style="text-align:center;" |
{{MOS modes
| style="text-align:center;" |
| Mode Names=
| style="text-align:center;" | 1 0 1
Dylathian $
| style="text-align:center;" | 760.782
Ilarnekian $
| style="text-align:center;" | 1521.564
Celephaïsian $
| style="text-align:center;" | 380.391
Ultharian $
| style="text-align:center;" | 1141.173
Mnarian $
| style="text-align:center;" |
Kadathian $
|-
Hlanithian $
| style="text-align:center;" | 27\68
Sarnathian $
| style="text-align:center;" |
| Collapsed=1
| style="text-align:center;" |
}}
| style="text-align:center;" |
 
| style="text-align:center;" |
== Tunings==
| style="text-align:center;" | 13 1 13
=== Simple tunings ===
| style="text-align:center;" | 755.188
The simplest tuning for 5L&nbsp;3s correspond to 13edo, 18edo, and 21edo, with step ratios 2:1, 3:1, and 3:2, respectively.
| style="text-align:center;" | 1510.376
 
| style="text-align:center;" | 363.609
{{MOS tunings|JI Ratios=Int Limit: 30; Prime Limit: 19; Tenney Height: 7.7}}
| style="text-align:center;" | 1118.797
 
| style="text-align:center;" |
=== Hypohard tunings ===
|-
[[Hypohard]] oneirotonic tunings have step ratios between 2:1 and 3:1 and can be considered "meantone oneirotonic", sharing the following features with [[meantone]] diatonic tunings:  
| style="text-align:center;" |
* The large step is a "meantone", around the range of [[10/9]] to [[9/8]].
| style="text-align:center;" |
* The major 2-mosstep is a [[meantone]]- to [[flattone]]-sized major third, thus is a stand-in for the classical diatonic major third.
| style="text-align:center;" |  
 
| style="text-align:center;" |  
With step ratios between 5:2 and 2:1, the minor 2-mosstep is close to [[7/6]].
| style="text-align:center;" |
 
| style="text-align:center;" | ~6626 515 6626
EDOs that are in the hypohard range include [[13edo]], [[18edo]], and [[31edo]], and are associated with [[5L 3s/Temperaments#A-Team|A-Team]] temperament.
| style="text-align:center;" | 755.132
* 13edo has characteristically small 1-mossteps of about 185{{c}}. It is uniformly compressed 12edo, so it has distorted versions of non-diatonic 12edo scales. It essentially has the best [[11/8]] out of all hypohard tunings.
| style="text-align:center;" | 1510.265
* 18edo can be used for a large step ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic, or for its nearly pure 9/8 and 7/6. It also makes rising fifths (733.3{{c}}, a perfect 5-mosstep) and falling fifths (666.7{{c}}, a major 4-mosstep) almost equally off from a just perfect fifth. 18edo is also more suited for conventionally jazz styles due to its 6-fold symmetry.
| style="text-align:center;" | 363.442
* 31edo can be used to make the major 2-mosstep a near-just 5/4.
| style="text-align:center;" | 1118.574
* [[44edo]] (generator {{nowrap|17\44 {{=}} 463.64{{c}}}}), [[57edo]] (generator {{nowrap|22\57 {{=}} 463.16{{c}}}}), and [[70edo]] (generator 27\70 {{=}} 462.857{{c}}}}) offer a compromise between 31edo's major third and 13edo's 11/8 and 13/8. In particular, 70edo has an essentially pure 13/8.
| style="text-align:center;" | <span style="display: block; text-align: center;">2g=12/5 minus quarter comma</span>
 
|-
{{MOS tunings|Step Ratios=Hypohard|JI Ratios=Subgroup: 2.5.9.21; Int Limit:40; Complements Only: 1|Tolerance=15}}
| style="text-align:center;" | 25\63
 
| style="text-align:center;" |
=== Hyposoft tunings ===
| style="text-align:center;" |
[[Hyposoft]] oneirotonic tunings have step ratios between 3:2 and 2:1, which remains relatively unexplored. In these tunings,
| style="text-align:center;" |
* The large step of oneirotonic tends to be intermediate in size between [[10/9]] and [[11/10]]; the small step size is a semitone close to [[17/16]], about 92{{c}} to 114{{c}}.
| style="text-align:center;" |
* The major 2-mosstep (made of two large steps) in these tunings tends to be more of a neutral third, ranging from 6\21 (342{{c}}) to 4\13 (369{{c}}).
| style="text-align:center;" | 12 1 12
 
| style="text-align:center;" | 754.744
* [[21edo]]'s P1-L1ms-L2ms-L4ms approximates 9:10:11:13 better than the corresponding 13edo chord does. 21edo will serve those who like the combination of neogothic minor thirds (285.71{{c}}) and Baroque diatonic semitones (114.29{{c}}, close to quarter-comma meantone's 117.11{{c}}).
| style="text-align:center;" | 1509.488
* [[34edo]]'s 9:10:11:13 is even better.
| style="text-align:center;" | 362.277
 
| style="text-align:center;" | 1117.021
This set of JI identifications is associated with [[5L 3s/Temperaments#Petrtri|petrtri]] temperament. (P1-M1ms-P3ms could be said to approximate 5:11:13 in all soft-of-basic tunings, which is what "basic" [[petrtri]] temperament is.)
| style="text-align:center;" |
 
|-
{{MOS tunings
| style="text-align:center;" | 23\58
| Step Ratios = Hyposoft
| style="text-align:center;" |
| JI Ratios =  
| style="text-align:center;" |
1/1;
| style="text-align:center;" |
16/15;
| style="text-align:center;" |
10/9; 11/10;
| style="text-align:center;" | 11 1 11
13/11; 20/17;
| style="text-align:center;" | 754.2235
11/9;
| style="text-align:center;" | 1508.447
5/4;
| style="text-align:center;" | 360.716
13/10;
| style="text-align:center;" | 1114.939
18/13; 32/23;
| style="text-align:center;" |
13/9; 23/16;
|-
20/13;
| style="text-align:center;" | 21\53
8/5;
| style="text-align:center;" |
18/11;
| style="text-align:center;" |
22/13; 17/10;
| style="text-align:center;" |
9/5;
| style="text-align:center;" |
15/8;
| style="text-align:center;" | 10 1 10
2/1
| style="text-align:center;" | 753.605
}}
| style="text-align:center;" | 1507.21
 
| style="text-align:center;" | 358.859
=== Parasoft and ultrasoft tunings ===
| style="text-align:center;" | 1112.464
The range of oneirotonic tunings of step ratio between 6:5 and 3:2 is closely related to [[porcupine]] temperament; these tunings equate three oneirotonic large steps to a diatonic perfect fourth, i.e. they equate the oneirotonic large step to a [[porcupine]] generator. The chord 10:11:13 is very well approximated in 29edo. The generator is close to the optimal range for [[tridec]] temperament, which approximates the 5:7:11:13 chord.
| style="text-align:center;" |
 
|-
{{MOS tunings
| style="text-align:center;" | 19\48
| Step Ratios = 6/5; 3/2; 4/3
| style="text-align:center;" |
| JI Ratios =  
| style="text-align:center;" |
1/1;
| style="text-align:center;" |
14/13;
| style="text-align:center;" |
11/10;
| style="text-align:center;" | 9 1 9
9/8;
| style="text-align:center;" | 752.857
15/13;
| style="text-align:center;" | 1505.714
13/11;
| style="text-align:center;" | 356.617
14/11;
| style="text-align:center;" | 1109.474
13/10;
| style="text-align:center;" |
4/3;
|-
15/11;
| style="text-align:center;" | 17\43
7/5;
| style="text-align:center;" |
10/7;
| style="text-align:center;" |
22/15;
| style="text-align:center;" |
3/2;
| style="text-align:center;" |
20/13;
| style="text-align:center;" | 8 1 8
11/7;
| style="text-align:center;" | 751.936
22/13;
| style="text-align:center;" | 1503.871
26/15;
| style="text-align:center;" | 353.852
16/9;
| style="text-align:center;" | 1105.788
20/11;
| style="text-align:center;" |
13/7;
|-
2/1
| style="text-align:center;" | 15\38
}}
| style="text-align:center;" |
 
| style="text-align:center;" |
=== Parahard tunings ===
| style="text-align:center;" |
23edo oneiro combines the sound of neogothic tunings like [[46edo]] and the sounds of "superpyth" and "semaphore" scales. This is because 23edo oneirotonic has a large step of 208.7¢, same as [[46edo]]'s neogothic major second, and is both a warped [[22edo]] [[superpyth]] [[diatonic]] and a warped [[24edo]] [[semaphore]] [[semiquartal]] (and both nearby scales are [[superhard]] MOSes).
| style="text-align:center;" |
 
| style="text-align:center;" | 7 1 7
{{MOS tunings
| style="text-align:center;" | 750.771
| JI Ratios =  
| style="text-align:center;" | 1501.543
1/1;
| style="text-align:center;" | 350.36
21/17;
| style="text-align:center;" | 1101.132
17/16;
| style="text-align:center;" |
14/11;
|-
6/5;
| style="text-align:center;" |
21/16;
| style="text-align:center;" | 28/71
21/17;
| style="text-align:center;" |
34/21;
| style="text-align:center;" |
32/21;
| style="text-align:center;" |  
5/3;
| style="text-align:center;" | 13 2 13
11/7;
| style="text-align:center;" | 750.067
32/17;
| style="text-align:center;" | 1500.1335
34/21;
| style="text-align:center;" | 348.245
2/1
| style="text-align:center;" | 1098.312
| Step Ratios = 4/1
| style="text-align:center;" |  
}}
|-
 
| style="text-align:center;" |
=== Ultrahard tunings ===
| style="text-align:center;" | 41\104
{{Main|5L&nbsp;3s/Temperaments#Buzzard}}
| style="text-align:center;" |
 
| style="text-align:center;" |
[[Buzzard]] is a rank-2 temperament in the [[Step ratio|pseudocollapsed]] range. It represents the only [[harmonic entropy]] minimum of the oneirotonic spectrum.
| style="text-align:center;" |
 
| style="text-align:center;" | 19 3 19
In the broad sense, Buzzard can be viewed as any tuning that divides the 3rd harmonic into 4 equal parts. [[23edo]], [[28edo]] and [[33edo]] can nominally be viewed as supporting it, but are still very flat and in an ambiguous zone between 18edo and true Buzzard in terms of harmonies. [[38edo]] and [[43edo]] are good compromises between melodic utility and harmonic accuracy, as the small step is still large enough to be obvious to the untrained ear, but [[48edo]] is where it really comes into its own in terms of harmonies, providing not only an excellent [[3/2]], but also [[7/4]] and [[The_Archipelago|archipelago]] harmonies, as by dividing the perfect fifth in four it obviously also divides it in two as well.
| style="text-align:center;" | 749.809
 
| style="text-align:center;" | 1466.618
Beyond that, it's a question of which intervals you want to favor. [[53edo]] has an essentially perfect [[3/2]], [[58edo]] gives the lowest overall error for the Barbados triads 10:13:15 and 26:30:39, while [[63edo]] does the same for the basic 4:6:7 triad. You could in theory go up to [[83edo]] if you want to favor the [[7/4]] above everything else, but beyond that, general accuracy drops off rapidly and you might as well be playing equal pentatonic.
| style="text-align:center;" | 347.4725
 
| style="text-align:center;" | 1097.282
{{MOS tunings
| style="text-align:center;" | 3g=11/3 near here
| JI Ratios =  
|-
1/1;
| style="text-align:center;" | 13\33
8/7;
| style="text-align:center;" |
13/10;
| style="text-align:center;" |
21/16;
| style="text-align:center;" |
3/2;
| style="text-align:center;" |
12/7, 22/13;
| style="text-align:center;" | 6 1 6
26/15;
| style="text-align:center;" | 749.255
49/25, 160/81;
| style="text-align:center;" | 1498.51
2/1
| style="text-align:center;" | 345.81
| Step Ratios = 7/1; 10/1; 12/1
| style="text-align:center;" | 1095.065
| Tolerance = 30
| style="text-align:center;" |
}}
|-
 
| style="text-align:center;" |
== Approaches ==
| style="text-align:center;" | 24\61
* [[5L&nbsp;3s/Temperaments]]
| style="text-align:center;" |
 
| style="text-align:center;" |
== 5L 3s as diatonic with a fifth sharper than 5edo ==
| style="text-align:center;" |
You may have heard how [[2L 5s]] can be viewed as diatonic ([[5L 2s]]) generated by a fifth flatter than [[7edo]], in which case the large and small steps flip sizes. Similar to that, 5L 3s can be viewed as diatonic generated by a fifth sharper than [[5edo]]. To understand how this works and how you suddenly get an extra small step, let's first start with fifths slightly flat of 5edo and 5edo's fifth itself.
| style="text-align:center;" | 11 2 11
 
| style="text-align:center;" | 748.31
In diatonic scales generated by fifths slightly flat of [[5edo]]'s fifth, the small step (found by 8 octaves - 5 fifths) becomes increasingly narrow, for example in [[27edo]] (which has a fifth of 711.1 cents) the diatonic small step is 44.4 cents, and in [[32edo]] (which has a fifth of 712.5 cents) the diatonic small step is even smaller at 37.5 cents. The fifth-generated major scale in 32edo in [[cent]]s is 225-450-487.5-712.5-937.5-1162.5-1200 – notice how the "major third" (450) and "perfect fourth" (487.5) are quite close to each other, as are the "major seventh" (1162.5) and octave (1200). As the fifth gets closer and closer to 5edo's fifth, the small step becomes more and more narrow.
| style="text-align:center;" | 1496.62
 
| style="text-align:center;" | 342.976
In [[5edo]] itself, if you attempt to generate a diatonic scale by stacking 5edo's  720-centfifth, the diatonic small step becomes 0 cents, which means two pairs of notes in the diatonic scale will be the same, collapsing it into a 5-note scale (this is why a 1:0 step ratio is known as "collapsed" in [[TAMNAMS]]). For example, attempting to create the major scale in 5edo results in (in cents 240-480-480-720-960-1200-1200 – now the "major third" and "perfect fourth" are ''identical'', as are the "major seventh" and "octave".
| style="text-align:center;" | 1091.286
 
| style="text-align:center;" |
But what happens if you were to make the fifth even sharper than 5edo's? Well now the small step is going to become even smaller than 0 cents, that is,  it will become negative in size. Let's try to create a major scale by stacking 28edo's 728.6-cent fifth, which is just slightly larger than 5edo's: 257.1-514.3-471.4-728.6-985.7-1242.9-1200. Now the so-called "major third" is ''larger'' than the "perfect fourth", and likewise for the "major seventh" being larger than the octave.
|-
 
| style="text-align:center;" |
Obviously it is quite nonsensical to have an octave-repeating scale with the notes out of order, so let's put these in order and octave-reduce the 1242.9-cent "major seventh" to 42.9 cents: 42.9-257.1-471.4-514.3-728.6-985.7-1200. This scale is now in order but it is not a MOS because there are 3 step sizes, because there is now the 42.9-cent small step, the 214.3-cent large step and a single 257.1-cent "extra large" step (between 728.6 and 985.7). If you want to turn it back into a MOS scale,  then the extra-large step can be simply split into one large step and one small step, which adds an extra note. This results in the "Celephaïsian" mode of 28edo's oneirotonic scale, 42.9-257.1-471.4-514.3-728.6-942.9-985.7-1200. This approach will work for any fifth between 720 and 750 cents (the generator range of oneirotonic). So the oneirotonic scale can be seen as the result of a diatonic scale with fifths even sharper than that of 5edo, just with an adjustment to make it into a normal properly-ordered MOS scale.
| style="text-align:center;" | 35\89
 
| style="text-align:center;" |
== Samples ==
| style="text-align:center;" |
[[File:The Angels' Library edo.mp3]] [[:File:The Angels' Library edo.mp3|The Angels' Library]] by [[Inthar]] in the Sarnathian (23233233) mode of 21edo oneirotonic ([[:File:The Angels' Library Score.pdf|score]])
| style="text-align:center;" |
 
| style="text-align:center;" | 16 3 16
[[File:13edo Prelude in J Oneirominor.mp3]]
| style="text-align:center;" | 747.96
 
| style="text-align:center;" | 1495.92
[[WT13C]] [[:File:13edo Prelude in J Oneirominor.mp3|Prelude II (J Oneirominor)]] ([[:File:13edo Prelude in J Oneirominor Score.pdf|score]]) – Simple two-part Baroque piece. It stays in oneirotonic even though it modulates to other keys a little.
| style="text-align:center;" | 341.924
 
| style="text-align:center;" | 1089.884
[[File:13edo_1MC.mp3]]
| style="text-align:center;" |
 
|-
(13edo, first 30 seconds is in J Celephaïsian)
| style="text-align:center;" |
 
| style="text-align:center;" | 46\117
[[File:A Moment of Respite.mp3]]
| style="text-align:center;" |
 
| style="text-align:center;" |
(13edo, L Ilarnekian)
| style="text-align:center;" |
 
| style="text-align:center;" | 21 4 21
[[File:Lunar Approach.mp3]]
| style="text-align:center;" | 747.777
 
| style="text-align:center;" | 1495.554
(by [[Igliashon Jones]], 13edo, J Celephaïsian)
| style="text-align:center;" | 341.377
 
| style="text-align:center;" | 1089.154
=== 13edo Oneirotonic Modal Studies ===
| style="text-align:center;" |
* [[File:Inthar-13edo Oneirotonic Studies 1 Dylathian.mp3]]: Tonal Study in Dylathian
|-
* [[File:Inthar-13edo Oneirotonic Studies 2 Ultharian.mp3]]: Tonal Study in Ultharian
| style="text-align:center;" |
* [[File:Inthar-13edo Oneirotonic Studies 3 Hlanithian.mp3]]: Tonal Study in Hlanithian
| style="text-align:center;" | 57\145
* [[File:Inthar-13edo Oneirotonic Studies 4 Illarnekian.mp3]]: Tonal Study in Ilarnekian
| style="text-align:center;" |
* [[File:Inthar-13edo Oneirotonic Studies 5 Mnarian.mp3]]: Tonal Study in Mnarian
| style="text-align:center;" |  
* [[File:Inthar-13edo Oneirotonic Studies 6 Sarnathian.mp3]]: Tonal Study in Sarnathian
| style="text-align:center;" |  
* [[File:Inthar-13edo Oneirotonic Studies 7 Celephaisian.mp3]]: Tonal Study in Celephaïsian
| style="text-align:center;" | 26 5 26
* [[File:Inthar-13edo Oneirotonic Studies 8 Kadathian.mp3]]: Tonal Study in Kadathian
| style="text-align:center;" | 747.665
 
| style="text-align:center;" | 1495.33
== Scale tree ==
| style="text-align:center;" | 341.04
{{MOS tuning spectrum
| style="text-align:center;" | 1088.705
| 13/8 = Golden oneirotonic (458.3592{{c}})
| style="text-align:center;" |
| 13/5 = Golden A-Team (465.0841{{c}})
|-
}}
| style="text-align:center;" |
 
| style="text-align:center;" |
[[Category:Oneirotonic| ]] <!-- sort order in category: this page shows above A -->
| style="text-align:center;" |
[[Category:Pages with internal sound examples]]
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 5+<span style="background-color: #ffffff;">√29 2 5+√29</span>
| style="text-align:center;" | 747.648
| style="text-align:center;" | 1495.297
| style="text-align:center;" | 340.99
| style="text-align:center;" | 1088.638
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 68\173
| style="text-align:center;" |
| style="text-align:center;" |  
| style="text-align:center;" |
| style="text-align:center;" | 31 6 31
| style="text-align:center;" | 747.589
| style="text-align:center;" | 1495.178
| style="text-align:center;" | 340.813
| style="text-align:center;" | 1088.402
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 147\374
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 67 13 67
| style="text-align:center;" | 747.56
| style="text-align:center;" | 1495.12
| style="text-align:center;" | 340.725
| style="text-align:center;" | 1088.285
| style="text-align:center;" | 4g=45/8 near here
|-
| style="text-align:center;" |
| style="text-align:center;" | 79\201
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 36 7 36
| style="text-align:center;" | 747.535
| style="text-align:center;" | 1495.069
| style="text-align:center;" | 340.649
| style="text-align:center;" | 1088.183
| style="text-align:center;" |
|-
| style="text-align:center;" | 11\28
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 5 1 5
| style="text-align:center;" | 747.197
| style="text-align:center;" | 1494.393
| style="text-align:center;" | 339.635
| style="text-align:center;" | 1086.831
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 20\51
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 9 2 9
| style="text-align:center;" | 745.865
| style="text-align:center;" | 1491.729
| style="text-align:center;" | 335.639
| style="text-align:center;" | 1081.50
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 29\74
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 13 3 13
| style="text-align:center;" | 745.361
| style="text-align:center;" | 1490.721
| style="text-align:center;" | 334.127
| style="text-align:center;" | 1079.488
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 38/97
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 17 4 17
| style="text-align:center;" | 745.096
| style="text-align:center;" | 1490.192
| style="text-align:center;" | 333.332
| style="text-align:center;" | 1078.428
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 2+<span style="background-color: #ffffff;">√5 1 </span>2+<span style="background-color: #ffffff;">√5</span>
| style="text-align:center;" | 754.051
| style="text-align:center;" | 1490.101
| style="text-align:center;" | 333.197
| style="text-align:center;" | 1078.247
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 47\120
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 21 5 21
| style="text-align:center;" | 744.932
| style="text-align:center;" | 1489.865
| style="text-align:center;" | 332.842
| style="text-align:center;" | 1077.7745
| style="text-align:center;" |
|-
| style="text-align:center;" | 9\23
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 4 1 4
| style="text-align:center;" | 744.243
| style="text-align:center;" | 1488.487
| style="text-align:center;" | 330.775
| style="text-align:center;" | 1075.018
| style="text-align:center;" | L/s = 4
|-
| style="text-align:center;" |
| style="text-align:center;" | 43\110
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 19 5 19
| style="text-align:center;" | 743.4915
| style="text-align:center;" | 1486.983
| style="text-align:center;" | 328.5195
| style="text-align:center;" | 1072.011
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 77\197
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 34 9 34
| style="text-align:center;" | 743.404
| style="text-align:center;" | 1486.807
| style="text-align:center;" | 328.256
| style="text-align:center;" | 1071.66
| style="text-align:center;" | 4g=39/7 near here
|-
| style="text-align:center;" |
| style="text-align:center;" | 34\87
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 15 4 15
| style="text-align:center;" | 743.293
| style="text-align:center;" | 1486.586
| style="text-align:center;" | 327.923
| style="text-align:center;" | 1071.216
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 25\64
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 11 3 11
| style="text-align:center;" | 742.951
| style="text-align:center;" | 1485.902
| style="text-align:center;" | 326.899
| style="text-align:center;" | 1069.85
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 16\41
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 7 2 7
| style="text-align:center;" | 742.226
| style="text-align:center;" | 1484.453
| style="text-align:center;" | 324.724
| style="text-align:center;" | 1066.95
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 23\59
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 10 3 10
| style="text-align:center;" | 741.44
| style="text-align:center;" | 1482.88
| style="text-align:center;" | 322.365
| style="text-align:center;" | 1063.805
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 3+<span style="background-color: #ffffff;">√13 2 3+√13</span>
| style="text-align:center;" | 741.289
| style="text-align:center;" | 1482.577
| style="text-align:center;" | 321.911
| style="text-align:center;" | 1063.20
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 30\77
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 13 4 13
| style="text-align:center;" | 741.021
| style="text-align:center;" | 1482.043
| style="text-align:center;" | 321.109
| style="text-align:center;" | 1062.131
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | pi 1 pi
| style="text-align:center;" | 740.449
| style="text-align:center;" | 1480.898
| style="text-align:center;" | 319.392
| style="text-align:center;" | 1056.841
| style="text-align:center;" | L/s = pi
|-
| style="text-align:center;" | 7\18
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 3 1 3
| style="text-align:center;" | 739.649
| style="text-align:center;" | 1479.298
| style="text-align:center;" | 316.992
| style="text-align:center;" | 1056.642
| style="text-align:center;" | L/s = 3
|-
| style="text-align:center;" |
| style="text-align:center;" | 89\229
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 38 13 38
| style="text-align:center;" | 739.188
| style="text-align:center;" | 1478.376
| style="text-align:center;" | 315.608
| style="text-align:center;" | 1054.796
| style="text-align:center;" | 3g=18/5 near here
|-
| style="text-align:center;" |
| style="text-align:center;" | 82\211
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 35 12 35
| style="text-align:center;" | 739.148
| style="text-align:center;" | 1478.297
| style="text-align:center;" | 315.49
| style="text-align:center;" | 1054.639
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 75\193
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 32 11 32
| style="text-align:center;" | 739.102
| style="text-align:center;" | 1478.203
| style="text-align:center;" | 315.35
| style="text-align:center;" | 1054.452
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 68\175
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 29 10 29
| style="text-align:center;" | 739.045
| style="text-align:center;" | 1478.091
| style="text-align:center;" | 315.181
| style="text-align:center;" | 1054.227
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 61/157
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 26 9 26
| style="text-align:center;" | 738.976
| style="text-align:center;" | 1477.952
| style="text-align:center;" | 314.973
| style="text-align:center;" | 1053.949
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 54\139
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 23 8 23
| style="text-align:center;" | 738.889
| style="text-align:center;" | 1477.778
| style="text-align:center;" | 314.712
| style="text-align:center;" | 1053.601
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 47\121
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 20 7 20
| style="text-align:center;" | 738.776
| style="text-align:center;" | 1477.552
| style="text-align:center;" | 314.373
| style="text-align:center;" | 1053.149
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 40\103
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 17 6 17
| style="text-align:center;" | 738.623
| style="text-align:center;" | 1477.247
| style="text-align:center;" | 313.915
| style="text-align:center;" | 1052.538
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 33\85
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 14 5 14
| style="text-align:center;" | 738.406
| style="text-align:center;" | 1476.812
| style="text-align:center;" | 313.263
| style="text-align:center;" | 1051.669
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 26\67
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 11 4 11
| style="text-align:center;" | 738.072
| style="text-align:center;" | 1476.144
| style="text-align:center;" | 312.261
| style="text-align:center;" | 1050.333
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | e 1 e
| style="text-align:center;" | 737.855
| style="text-align:center;" | 1478.71
| style="text-align:center;" | 311.61
| style="text-align:center;" | 1049.465
| style="text-align:center;" | L/s = e
|-
| style="text-align:center;" |
| style="text-align:center;" | 19\49
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 8 3 8
| style="text-align:center;" | 737.493
| style="text-align:center;" | 1474.986
| style="text-align:center;" | 310.523
| style="text-align:center;" | 1048.016
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 164\423
| style="text-align:center;" |
| style="text-align:center;" | 69 26 69
| style="text-align:center;" | 737.401
| style="text-align:center;" | 1474.802
| style="text-align:center;" | 310.248
| style="text-align:center;" | 1047.649
| style="text-align:center;" | 3g=18/5 minus quarter comma near here
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 145\374
| style="text-align:center;" |
| style="text-align:center;" | 61 23 61
| style="text-align:center;" | 737.389
| style="text-align:center;" | 1474.778
| style="text-align:center;" | 310.212
| style="text-align:center;" | 1047.601
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 126\325
| style="text-align:center;" |
| style="text-align:center;" | 53 20 53
| style="text-align:center;" | 737.373
| style="text-align:center;" | 1474.747
| style="text-align:center;" | 310.165
| style="text-align:center;" | 1047.538
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 107\276
| style="text-align:center;" |
| style="text-align:center;" | 45 17 45
| style="text-align:center;" | 737.352
| style="text-align:center;" | 1474.704
| style="text-align:center;" | 310.101
| style="text-align:center;" | 1047.453
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 88\227
| style="text-align:center;" |
| style="text-align:center;" | 37 14 37
| style="text-align:center;" | 737.322
| style="text-align:center;" | 1474.644
| style="text-align:center;" | 310.01
| style="text-align:center;" | 1047.332
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 69\178
| style="text-align:center;" |
| style="text-align:center;" | 29 11 29
| style="text-align:center;" | 737.275
| style="text-align:center;" | 1474.549
| style="text-align:center;" | 309.869
| style="text-align:center;" | 1047.144
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 50\129
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 21 8 21
| style="text-align:center;" | 737.192
| style="text-align:center;" | 1474.384
| style="text-align:center;" | 309.621
| style="text-align:center;" | 1046.812
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 131\338
| style="text-align:center;" |
| style="text-align:center;" | 55 21 55
| style="text-align:center;" | 737.148
| style="text-align:center;" | 1474.296
| style="text-align:center;" | 309.49
| style="text-align:center;" | 1046.638
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 212\547
| style="text-align:center;" | 89 34 89
| style="text-align:center;" | 737.138
| style="text-align:center;" | 1474.276
| style="text-align:center;" | 309.459
| style="text-align:center;" | 1046.597
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 81\209
| style="text-align:center;" |
| style="text-align:center;" | 34 13 34
| style="text-align:center;" | 737.121
| style="text-align:center;" | 1474.243
| style="text-align:center;" | 309.409
| style="text-align:center;" | 1046.53
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 31\80
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 13 5 13
| style="text-align:center;" | 737.008
| style="text-align:center;" | 1474.015
| style="text-align:center;" | 309.068
| style="text-align:center;" | 1046.075
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 12\31
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 5 2 5
| style="text-align:center;" | 736.241
| style="text-align:center;" | 1472.481
| style="text-align:center;" | 306.767
| style="text-align:center;" | 1043.007
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | <span style="background-color: #ffffff;">1+√2 1 1+√2</span>
| style="text-align:center;" | 735.542
| style="text-align:center;" | 1471.084
| style="text-align:center;" | 304.6715
| style="text-align:center;" | 1040.214
| style="text-align:center;" | Silver false father
|-
| style="text-align:center;" |
| style="text-align:center;" | 17\44
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 7 3 7
| style="text-align:center;" | 734.846
| style="text-align:center;" | 1469.693
| style="text-align:center;" | 302.584
| style="text-align:center;" | 1037.41
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 22\57
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 9 4 9
| style="text-align:center;" | 734.088
| style="text-align:center;" | 1468.176
| style="text-align:center;" | 300.309
| style="text-align:center;" | 1034.397
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 27\70
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 11 5 11
| style="text-align:center;" | 733.611
| style="text-align:center;" | 1467.222
| style="text-align:center;" | 298.879
| style="text-align:center;" | 1032.49
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 59\153
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 24 11 24
| style="text-align:center;" | 733.434
| style="text-align:center;" | 1466.867
| style="text-align:center;" | 298.346
| style="text-align:center;" | 1031.779
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 32\83
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 13 6 13
| style="text-align:center;" | 733.284
| style="text-align:center;" | 1466.568
| style="text-align:center;" | 297.897
| style="text-align:center;" | 1031.181
| style="text-align:center;" | 2g=7/3 near here
|-
| style="text-align:center;" | 5\13
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 2 1 2
| style="text-align:center;" | 731.521
| style="text-align:center;" | 1463.042
| style="text-align:center;" | 292.609
| style="text-align:center;" | 1024.13
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 53\138
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 21 11 21
| style="text-align:center;" | 730.461
| style="text-align:center;" | 1460.922
| style="text-align:center;" | 289.428
| style="text-align:center;" | 1018.889
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 101\263
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 40 21 40
| style="text-align:center;" | 730.409
| style="text-align:center;" | 1460.817
| style="text-align:center;" | 289.271
| style="text-align:center;" | 1019.679
| style="text-align:center;" | 3g=39/11 near here
|-
| style="text-align:center;" |
| style="text-align:center;" | 48\125
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 19 10 19
| style="text-align:center;" | 730.35
| style="text-align:center;" | 1460.701
| style="text-align:center;" | 289.097
| style="text-align:center;" | 1019.448
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 43\112
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 17 9 17
| style="text-align:center;" | 730.215
| style="text-align:center;" | 1460.43
| style="text-align:center;" | 288.69
| style="text-align:center;" | 1018.905
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 38\99
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 15 8 15
| style="text-align:center;" | 730.043
| style="text-align:center;" | 1460.087
| style="text-align:center;" | 288.175
| style="text-align:center;" | 1018.218
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 71\185
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 28 15 28
| style="text-align:center;" | 729.9395
| style="text-align:center;" | 1459.879
| style="text-align:center;" | 287.8635
| style="text-align:center;" | 1017.803
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 104\271
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 41 22 41
| style="text-align:center;" | 729.902
| style="text-align:center;" | 1459.803
| style="text-align:center;" | 287.75
| style="text-align:center;" | 1017.651
| style="text-align:center;" | 4g=27/5 near here
|-
| style="text-align:center;" |
| style="text-align:center;" | 33\86
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 13 7 13
| style="text-align:center;" | 729.82
| style="text-align:center;" | 1459.64
| style="text-align:center;" | 287.505
| style="text-align:center;" | 1017.325
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 28\73
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 11 6 11
| style="text-align:center;" | 729.547
| style="text-align:center;" | 1459.034
| style="text-align:center;" | 286.596
| style="text-align:center;" | 1016.113
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 23\60
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 9 5 9
| style="text-align:center;" | 729.083
| style="text-align:center;" | 1458.1655
| style="text-align:center;" | 285.293
| style="text-align:center;" | 1014.376
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 41\107
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 16 9 16
| style="text-align:center;" | 728.7865
| style="text-align:center;" | 1457.573
| style="text-align:center;" | 284.4045
| style="text-align:center;" | 1013.191
| style="text-align:center;" | 3g=99/28 near here
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 59\154
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 23 13 23
| style="text-align:center;" | 728.671
| style="text-align:center;" | 1457.342
| style="text-align:center;" | 284.058
| style="text-align:center;" | 1012.729
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 77\201
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 30 17 30
| style="text-align:center;" | 728.61
| style="text-align:center;" | 1457.219
| style="text-align:center;" | 283.874
| style="text-align:center;" | 1012.483
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 95\248
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 37 21 37
| style="text-align:center;" | 728.5715
| style="text-align:center;" | 1457.143
| style="text-align:center;" | 283.7595
| style="text-align:center;" | 1012.331
| style="text-align:center;" | Golden BP is index-2 near here
|-
| style="text-align:center;" |
| style="text-align:center;" | 18\47
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 7 4 7
| style="text-align:center;" | 728.408
| style="text-align:center;" | 1456.817
| style="text-align:center;" | 283.27
| style="text-align:center;" | 1011.678
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | <span style="background-color: #ffffff;">√3 1 √3</span>
| style="text-align:center;" | 728.159
| style="text-align:center;" | 1456.318
| style="text-align:center;" | 282.522
| style="text-align:center;" | 1010.6815
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 49\128
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 19 11 19
| style="text-align:center;" | 728.092
| style="text-align:center;" | 1456.184
| style="text-align:center;" | 282.321
| style="text-align:center;" | 1010.413
| style="text-align:center;" | 4g=27/5 minus third comma near here
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 31\81
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 12 7 12
| style="text-align:center;" | 727.909
| style="text-align:center;" | 1455.817
| style="text-align:center;" | 281.771
| style="text-align:center;" | 1009.68
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 13\34
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 5 3 5
| style="text-align:center;" | 727.218
| style="text-align:center;" | 1454.436
| style="text-align:center;" | 279.699
| style="text-align:center;" | 1006.917
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 34\89
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 13 8 13
| style="text-align:center;" | 726.59
| style="text-align:center;" | 1453.179
| style="text-align:center;" | 277.814
| style="text-align:center;" | 1004.403
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 89\233
| style="text-align:center;" |
| style="text-align:center;" | 34 21 34
| style="text-align:center;" | 726.498
| style="text-align:center;" | 1452.996
| style="text-align:center;" | 277.538
| style="text-align:center;" | 1004.036
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 233\610
| style="text-align:center;" | 89 55 89
| style="text-align:center;" | 726.4845
| style="text-align:center;" | 1452.969
| style="text-align:center;" | 277.4985
| style="text-align:center;" | 1003.983
| style="text-align:center;" | Golden false father
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 144\377
| style="text-align:center;" |
| style="text-align:center;" | 55 34 55
| style="text-align:center;" | 726.476
| style="text-align:center;" | 1452.952
| style="text-align:center;" | 277.473
| style="text-align:center;" | 1003.95
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 55\144
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 21 13 21
| style="text-align:center;" | 726.441
| style="text-align:center;" | 1452.882
| style="text-align:center;" | 277.368
| style="text-align:center;" | 1003.809
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 21\55
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 8 5 8
| style="text-align:center;" | 726.201
| style="text-align:center;" | 1452.402
| style="text-align:center;" | 276.468
| style="text-align:center;" | 1002.849
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | pi 2 pi
| style="text-align:center;" | 725.736
| style="text-align:center;" | 1451.472
| style="text-align:center;" | 275.252
| style="text-align:center;" | 1000.988
| style="text-align:center;" |
|-
| style="text-align:center;" | 8\21
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 3 2 3
| style="text-align:center;" | 724.554
| style="text-align:center;" | 1449.109
| style="text-align:center;" | 271.708
| style="text-align:center;" | 996.226
| style="text-align:center;" | Optimum rank range (L/s=3/2) false father
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | ~543 361 543
| style="text-align:center;" | 724.511
| style="text-align:center;" | 1449.022
| style="text-align:center;" | 271.579
| style="text-align:center;" | 996.09
| style="text-align:center;" | 4g=16/3
|-
| style="text-align:center;" |
| style="text-align:center;" | 27\71
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 10 7 10
| style="text-align:center;" | 723.279
| style="text-align:center;" | 1446.557
| style="text-align:center;" | 267.881
| style="text-align:center;" | 991.16
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 46\121
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 17 12 17
| style="text-align:center;" | 723.057
| style="text-align:center;" | 1446.115
| style="text-align:center;" | 267.217
| style="text-align:center;" | 990.274
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 65\171
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 24 17 24
| style="text-align:center;" | 722.965
| style="text-align:center;" | 1445.931
| style="text-align:center;" | 266.941
| style="text-align:center;" | 989.907
| style="text-align:center;" | 3g=7/2 near here
|-
| style="text-align:center;" |
| style="text-align:center;" | 19\50
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 7 5 7
| style="text-align:center;" | 722.743
| style="text-align:center;" | 1445.486
| style="text-align:center;" | 266.274
| style="text-align:center;" | 989.017
| style="text-align:center;" |
|-
| style="text-align:center;" | 11\29
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 4 3 4
| style="text-align:center;" | 721.431
| style="text-align:center;" | 1442.862
| style="text-align:center;" | 262.338
| style="text-align:center;" | 983.77
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 25\66
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 9 7 9
| style="text-align:center;" | 720.4375
| style="text-align:center;" | 1440.875
| style="text-align:center;" | 259.3575
| style="text-align:center;" | 979.795
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 64\169
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 23 18 23
| style="text-align:center;" | 720.267
| style="text-align:center;" | 1440.534
| style="text-align:center;" | 258.848
| style="text-align:center;" | 979.113
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 167\441
| style="text-align:center;" |
| style="text-align:center;" | 60 47 60
| style="text-align:center;" | 720.2415
| style="text-align:center;" | 1440.483
| style="text-align:center;" | 258.7965
| style="text-align:center;" | 979.001
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 437\1154
| style="text-align:center;" | 157 123 157
| style="text-align:center;" | 720.238
| style="text-align:center;" | 1440.475
| style="text-align:center;" | 258.758
| style="text-align:center;" | 978.996
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 270\713
| style="text-align:center;" |
| style="text-align:center;" | 97 76 97
| style="text-align:center;" | 720.235
| style="text-align:center;" | 1440.471
| style="text-align:center;" | 258.751
| style="text-align:center;" | 978.987
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 103\272
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 37 29 37
| style="text-align:center;" | 720.226
| style="text-align:center;" | 1440.451
| style="text-align:center;" | 258.722
| style="text-align:center;" | 978.947
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 39\103
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 14 11 14
| style="text-align:center;" | 720.158
| style="text-align:center;" | 1440.315
| style="text-align:center;" | 258.518
| style="text-align:center;" | 978.676
| style="text-align:center;" |
|-
| style="text-align:center;" | 14\37
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 5 4 5
| style="text-align:center;" | 719.659
| style="text-align:center;" | 1439.317
| style="text-align:center;" | 257.021
| style="text-align:center;" | 976.679
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 31\82
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 11 9 11
| style="text-align:center;" | 719.032
| style="text-align:center;" | 1438.064
| style="text-align:center;" | 255.14
| style="text-align:center;" | 974.172
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 79\209
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 28 23 28
| style="text-align:center;" | 718.921
| style="text-align:center;" | 1437.842
| style="text-align:center;" | 254.807
| style="text-align:center;" | 973.728
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 206\545
| style="text-align:center;" |
| style="text-align:center;" | 73 60 73
| style="text-align:center;" | 718.904
| style="text-align:center;" | 1437.808
| style="text-align:center;" | 254.757
| style="text-align:center;" | 973.661
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 539\1426
| style="text-align:center;" | 191 117 191
| style="text-align:center;" | 718.902
| style="text-align:center;" | 1437.803
| style="text-align:center;" | 254.75
| style="text-align:center;" | 973.652
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 333\881
| style="text-align:center;" |
| style="text-align:center;" | 118 97 118
| style="text-align:center;" | 718.90
| style="text-align:center;" | 1437.80
| style="text-align:center;" | 254.745
| style="text-align:center;" | 973.6455
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 127\336
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 45 37 45
| style="text-align:center;" | 718.893
| style="text-align:center;" | 1437.787
| style="text-align:center;" | 254.726
| style="text-align:center;" | 973.619
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" | 48\127
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 17 14 17
| style="text-align:center;" | 718.849
| style="text-align:center;" | 1437.698
| style="text-align:center;" | 254.592
| style="text-align:center;" | 973.441
| style="text-align:center;" |
|-
| style="text-align:center;" | 17\45
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 6 5 6
| style="text-align:center;" | 718.516
| style="text-align:center;" | 1437.032
| style="text-align:center;" | 253.549
| style="text-align:center;" | 972.11
| style="text-align:center;" |
|-
| style="text-align:center;" | 20\53
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 7 6 7
| style="text-align:center;" | 717.719
| style="text-align:center;" | 1435.438
| style="text-align:center;" | 251.202
| style="text-align:center;" | 968.9205
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | ~401 344 401
| style="text-align:center;" | 717.695
| style="text-align:center;" | 1435.3905
| style="text-align:center;" | 251.131
| style="text-align:center;" | 968.826
| style="text-align:center;" | 4g=21/4
|-
| style="text-align:center;" | 23\61
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 8 7 8
| style="text-align:center;" | 717.131
| style="text-align:center;" | 1434.261
| style="text-align:center;" | 249.437
| style="text-align:center;" | 966.567
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | ~6682 5875 6682
| style="text-align:center;" | 716.9925
| style="text-align:center;" | 1433.985
| style="text-align:center;" | 249.0225
| style="text-align:center;" | 966.015
| style="text-align:center;" | 6g=12
|-
| style="text-align:center;" | 26\69
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 9 8 9
| style="text-align:center;" | 716.679
| style="text-align:center;" | 1433.357
| style="text-align:center;" | 248.081
| style="text-align:center;" | 964.76
| style="text-align:center;" |
|-
| style="text-align:center;" | 29\77
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 10 9 10
| style="text-align:center;" | 716.321
| style="text-align:center;" | 1432.641
| style="text-align:center;" | 247.007
| style="text-align:center;" | 963.328
| style="text-align:center;" |
|-
| style="text-align:center;" | 32\85
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 11 10 11
| style="text-align:center;" | 716.03
| style="text-align:center;" | 1432.06
| style="text-align:center;" | 246.135
| style="text-align:center;" | 962.1655
| style="text-align:center;" |
|-
| style="text-align:center;" | 35\93
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 12 11 12
| style="text-align:center;" | 715.7895
| style="text-align:center;" | 1431.759
| style="text-align:center;" | 245.4135
| style="text-align:center;" | 961.203
| style="text-align:center;" |
|-
| style="text-align:center;" | 38/101
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 13 12 13
| style="text-align:center;" | 715.587
| style="text-align:center;" | 1431.174
| style="text-align:center;" | 244.806
| style="text-align:center;" | 960.393
| style="text-align:center;" | 2g=16\7 near here
|-
| style="text-align:center;" | 3\8
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 1 1 1
| style="text-align:center;" | 713.233
| style="text-align:center;" | 1426.466
| style="text-align:center;" | 237.744
| style="text-align:center;" | 950.9775
| style="text-align:center;" |
|}
.
[[Category:mos]]
Retrieved from "https://en.xen.wiki/w/5L_3s"