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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|311}}
{{ED intro}}


311edo is highly acclaimed for its large consistency limit and efficient and well-tempered just interval representation relative to its size.
311edo is notable for its extremely high [[consistency limit]], which provides efficient and well-tempered [[just interval]] representation relative to its size.


== Theory ==
== Theory ==
311edo is [[consistent]] through the [[41-odd-limit]] and nearly distinctly consistent through the [[27-odd-limit]] with the single exception of [[25/24]]~[[26/25]] ([[tempering out]] [[625/624|S25]]), and is a [[zeta gap edo]] and a [[zeta peak integer edo]]. It achieves this since all [[harmonic]]s up to and including the 42nd, and all composite harmonics up to and including the 80th, are more in-tune than out-of-tune (but note prime 73 ''is'' tuned accurately, in fact more accurately than all prior primes). Thus all the ratios between those harmonics are mapped consistently, and thus with a maximum error of ~1.929¢. This means 311edo is an ''extremely'' efficient temperament for approximating the harmonic series consistently and ''simply'', given how much harmonic content it approximates/represents for its size.
311edo is [[consistent]] through the [[41-odd-limit]] and nearly distinctly consistent through the [[27-odd-limit]] except for [[25/24]][[~]][[26/25]], [[tempering out]] [[625/624]] ({{S|25}}), and is a [[zeta gap edo]] and a [[zeta peak integer edo]]. This is because all [[harmonic]]s up to the 42nd, and all composite harmonics up to the 80th, have no more than ±25% error. Prime 73 is also unusually accurate, more so than all smaller primes. As a result, all ratios among those harmonics are mapped consistently, with errors lower than 1.929{{c}}. This means 311edo is a ''serendipitously'' efficient temperament for approximating the [[harmonic series]] and the [[41-limit]] in general, consistently and ''simply'', given how much harmonic content it approximates/represents for its size. The next edo with a higher [[consistency limit]] is [[17461edo|17461]] ([[45-odd-limit]]), though one may prefer [[20567edo|20567]] ([[57-odd-limit]]).  


311 is also the lowest edo that maintains [[relative interval error]]s of no greater than 25% on all of the first 42 harmonics of the harmonic series, and the next lowest edo that approximates the 43rd harmonic while maintaining the same maximum relative errors on the 42nd and lower is [[20567edo|20567]], and the smallest edo that maintains less than 25% relative error on the first 64 harmonics is [[3159811edo|3159811]].
311edo is also the smallest edo that is [[purely consistent]] on all the first 32 harmonics (in this case, up to the 42nd). The next edo with less maximum relative error is [[16808edo|16808]]. The smallest edo purely consistent on the first 64 harmonics is [[3159811edo|3159811]].


311edo is valuable from a psychoacoustic perspective as its step is also conincidentally close enough to the [[just-noticeable difference]], which only affirms its efficiency of interval representation.  
Although 311edo does not do as well as [[270edo]] in the 13-limit, it is still very accurate in the lower limits. It tempers out the [[amity comma]], 1600000/1594323, the [[lafa comma]], {{monzo| 77 -31 -12 }}, the [[vavoom comma]], {{monzo| -68 18 17 }} in the [[5-limit]]; 2401/2400 ([[breedsma]]), 65625/65536 ([[horwell comma]]), and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[3025/3024]], [[4000/3993]], [[6250/6237]], [[12005/11979]], and [[19712/19683]] in the 11-limit; and 625/624, [[1575/1573]], [[2080/2079]], [[2200/2197]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It allows [[petrmic chords|petrmic]] and [[nicolic chords]] in the 15-odd-limit.  


Some 41-limit [[comma]]s it tempers out are [[595/594]], [[625/624]], 697/696, 703/702, 714/713, 760/759, [[784/783]], 820/819, [[833/832]], 875/874, 900/899, 925/924, 931/930, 962/961, 969/968, 1000/999, 1015/1014, 1024/1023, [[1025/1024]], 1036/1035, 1045/1044, 1054/1053, 1105/1104, 1148/1147, [[1156/1155]], 1184/1183, 1189/1188, 1190/1189, 1197/1196, 1210/1209, [[1216/1215]], [[1225/1224]], [[1275/1274]], 1288/1287, 1312/1311, 1332/1331, 1353/1352, 1365/1364, 1369/1368, 1444/1443, [[1445/1444]], 1450/1449, 1480/1479, 1496/1495, 1519/1518, 1520/1519, 1540/1539, 1596/1595, 1600/1599, 1625/1624, 1665/1664, 1666/1665, 1681/1680, 1683/1682, 1702/1701, [[1729/1728]], 1768/1767, 1805/1804, 1860/1859, 1886/1885, 1887/1886, 1925/1924, 2002/2001, 2016/2015, 2025/2024, [[2058/2057]], [[2080/2079]], 2091/2090, 2109/2108, 2146/2145, 2176/2175, 2185/2184, 2205/2204, 2233/2232, 2255/2254, 2295/2294, 2296/2295, 2300/2299, [[2401/2400]], [[2431/2430]], [[2432/2431]], 2465/2464, [[2500/2499]], 2542/2541, 2553/2552, 2584/2583, [[2601/2600]], 2625/2624, 2640/2639, 2646/2645, 2665/2664, 2737/2736, 2738/2737, 2755/2754, 2784/2783, 2850/2849, 2926/2925, and 2945/2944.
Beyond the 13-limit, primes [[17/1|17]] and [[23/1|23]] are 311edo's first notable improvements over 270edo's approximation. It tempers out [[595/594]], [[833/832]], [[1156/1155]], [[1225/1224]], [[1275/1274]], [[2058/2057]], [[2431/2430]] in the [[17-limit]]; [[969/968]], [[1216/1215]], [[1445/1444]], [[1540/1539]], [[1729/1728]] in the [[19-limit]]; and [[760/759]], [[875/874]], [[1105/1104]], [[1197/1196]], [[1288/1287]], [[1496/1495]] in the [[23-limit]]. Their edo sum, [[581edo]], is also a very strong 23-limit temperament.
 
311edo is valuable from a psychoacoustic perspective as its step is also coincidentally above the melodic [[just-noticeable difference]], which only affirms its efficiency of interval representation.  


=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|311|columns=14|prec=3}}
{{Harmonics in equal|311|prec=3|columns=13}}
{{Harmonics in equal|311|prec=3|columns=13|start=14|collapsed=true|title=Approximation of prime harmonics in 311edo (continued)}}


=== Subsets and supersets ===
=== Subsets and supersets ===
311edo is the 64th [[prime edo]].
311edo is the 64th [[prime edo]], so it does not contain any nontrivial subset edos.  


As an interval size measure, one step of 311edo is called ''gene'', named after [[Gene Ward Smith]].
As an interval size measure, one step of 311edo is called ''gene'', named by [[Joseph Monzo]] in 2007 after [[Gene Ward Smith]]<ref>[http://tonalsoft.com/enc/g/gene.aspx Tonalsoft Encyclopedia | ''gene, 311-edo'']</ref>.


== Intervals ==
== Intervals ==
The 41-limit add-73 add-89 add-101 add-109 add-113 123-odd-limit is represented very close to completely consistently, and as aforementioned, the 77-odd-limit subset of that odd-limit is perfectly consistent, to which a variety of odds can be added that keep perfect consistency, but for comprehensiveness and practical use as a temperament approximating the low-to-mid end of the harmonic series, we consider a larger odd-limit than that which seeks to be more complete.
See the collapsed table in [[#JI approximation]], or alternatively, see the draft table at [[User:Overthink/Table of 311edo intervals]].


There are 884 interval pairs in that [[odd limit]] (the [[41-limit]] add-73 add-89 add-101 add-109 add-113 123-odd-limit), where "pairs" refers to that each interval has an [[octave complement]] with equal and opposite error. That odd limit can be described explicitly as the [[tonality diamond]] of {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 45, 49, 51, 55, 57, 63, 65, 69, 73, 75, 77, 81, 85, 87, 89, 91, 93, 95, 99, 101, 105, 109, 111, 113, 115, 117, 119, 121, 123}. We can also express that odd-limit as the 123-odd-limit minus only the following twelve prime odds: {43, 47, 53, 59, 61, 67, 71, 79, 83, 97, 103, 107}.
== Notation ==
 
=== Sagittal notation ===
Of those 884 interval pairs, only 42 interval pairs (< 4.8%) are inconsistent, not mapped to the nearest interval of 311edo but to the second-nearest interval. Reduced to the lower half of the octave, these intervals, from smallest to largest, are: 101/100, 100/99, 82/81, 121/119, 119/117, 95/93, 87/85, 124/119, 85/81, 101/95, 100/93, 85/78, 93/85, 119/108, 93/82, 81/70, 138/119, 136/117, 99/85, 117/100, 95/81, 119/101, 101/85, 81/68, 140/117, 119/99, 117/95, 85/69, 100/81, 108/85, 119/93, 85/66, 156/119, 93/70, 162/119, 93/68, 119/87, 85/62, 117/85, 140/101, 164/117, 170/121.
The [[Sagittal notation]] for 311edo uses alterations of the Promethian set. Since the apotome can be split in two, a half-sharp and a half-flat may be used.  
 
Of them, only 6 interval pairs (119/117, 85/81, 93/85, 101/85, 119/93, 117/85) are more than 10% inconsistent, which is to say, all 36 of the other inconsistent intervals have less than 60% of a step of 311edo of error relative to where they are mapped in 311edo by the patent val, which is to say less than 3/5 = 60% [[relative interval error]], which is equal to 2.3{{cent}}. The 6 highest-error intervals mentioned instead have less than 2/3 = 67% relative interval error.
 
The below table was generated by a simple Python 3 script to print it in plaintext using [[User: Godtone #My Python 3 code|Godtone's code]] to simplify certain steps.
 
It should be noted that while almost all intervals shown in the table are intervals of the 123-odd-limit restricted to the aforementioned prime subgroup, the [[square-particular]]s up to [[1681/1680|S41 = (41/40)/(42/41)]] were added manually for completeness and reference in understanding the mapping of the [[41-odd-limit]] by 311edo. Therefore, the very beginning of the table (from 0\311 to 3\311 inclusive) is the only part that is not algorithmically generated.


{| class="mw-collapsible mw-collapsed wikitable center-1 center-2 center-3"
<div style="text-align: center;">
|+ style=white-space:nowrap | Table of 311edo intervals
{| class="wikitable"
! Genes*
! Cents
! Marks
! Approximate Intervals†
|-
|-
| 0
! colspan="2" | '''+ edosteps'''
| 0.0
! 1
| P1
! 2
| '''1/1''', [[1681/1680|S41]], [[1600/1599|S40]], [[1444/1443|S38]], [[1369/1368|S37]], [[1225/1224|S35 = S49*S50]], [[1156/1155|S34]], [[1024/1023|S32]], [[900/899|S30]], ''[[784/783|S28]]'', ''[[625/624|S25]]'',
! 3
! 4
! 5
! 6
! 7
! 8
! 9
! 10
! 11
! 12
! 13
! 14
! 15
! 16
! 17
! 18
! 19
! 20
! 21
! 22
! 23
! 24
! 25
! 26
! 27
! 28
! 29
! 30
|-
|-
| 1
| rowspan="3" | Symbol
| 3.85
| SZ
|  
| rowspan="3" | <big>{{sagittal||(}}</big>
| ''[[1521/1520|S39]]'', ''[[1296/1295|S36]]'', ''[[1089/1088|S33]]'', ''[[961/960|S31]]'', [[841/840|S29]], [[729/728|S27]], [[676/675|S26 = S13/S15]], [[576/575|S24]], [[529/528|S23]], [[484/483|S22]], [[441/440|S21]], [[400/399|S20]], [[361/360|S19]], ''[[289/288|S17]]''
| rowspan="3" | <big>{{Sagittal|)|(}}</big>
| rowspan="3" | <big>{{Sagittal|)~|}}</big>
| rowspan="3" | <big>{{Sagittal|~|(}}</big>
| rowspan="3" | <big>{{Sagittal|~~|}}</big>
| rowspan="3" | <big>{{Sagittal|/|}}</big>
| rowspan="3" | <big>{{Sagittal||)}}</big>
| rowspan="3" | <big>{{Sagittal||\}}</big>
| rowspan="3" | <big>{{Sagittal|(|}}</big>
| rowspan="3" | <big>{{Sagittal|(|(}}</big>
| rowspan="3" | <big>{{Sagittal|~|\}}</big>
| rowspan="3" | <big>{{Sagittal|//|}}</big>
| rowspan="3" | <big>{{Sagittal|/|)}}</big>
| rowspan="3" | <big>{{Sagittal|/|\}}</big>
| <big>{{Sagittal|t}}</big>
| <small>{{Sagittal||(}}{{sagittal|t}}</small>
| <small>{{Sagittal|)|(}}{{sagittal|t}}</small>
| <small>{{Sagittal|)~|}}{{sagittal|t}}</small>
| <small>{{Sagittal|~|(}}{{sagittal|t}}</small>
| <small>{{Sagittal|~~|}}{{sagittal|t}}</small>
| <small>{{Sagittal|/|}}{{sagittal|t}}</small>
| <small>{{Sagittal||)}}{{sagittal|t}}</small>
| <small>{{Sagittal||\}}{{sagittal|t}}</small>
| <small>{{Sagittal|(|}}{{sagittal|t}}</small>
| <small>{{Sagittal|(|(}}{{sagittal|t}}</small>
| <small>{{Sagittal|~|\}}{{sagittal|t}}</small>
| <small>{{Sagittal|//|}}{{sagittal|t}}</small>
| <small>{{Sagittal|/|)}}{{sagittal|t}}</small>
| <small>{{Sagittal|/|\}}{{sagittal|t}}</small>
| <small>{{Sagittal|#}}</small>
|-
|-
| 2
| Evo
| 7.71
| rowspan="2" | <big>{{Sagittal|)/|\}}</big>
|  
| <small>{{sagittal|\!/}}{{sagittal|#}}</small>
| ''[[324/323|S18]]'', [[256/255|S16]], [[225/224|S15]], [[196/195|S14]], ''170/169''
| <small>{{sagittal|\!)}}{{sagittal|#}}</small>
| <small>{{sagittal|\\!}}{{sagittal|#}}</small>
| <small>{{sagittal|~!/}}{{sagittal|#}}</small>
| <small>{{sagittal|(!(}}{{sagittal|#}}</small>
| <small>{{sagittal|(!}}{{sagittal|#}}</small>
| <small>{{sagittal|!/}}{{sagittal|#}}</small>
| <small>{{sagittal|!)}}{{sagittal|#}}</small>
| <small>{{sagittal|\!}}{{sagittal|#}}</small>
| <small>{{sagittal|~~!}}{{sagittal|#}}</small>
| <small>{{sagittal|~!(}}{{sagittal|#}}</small>
| <small>{{sagittal|)~!}}{{sagittal|#}}</small>
| <small>{{sagittal|)!(}}{{sagittal|#}}</small>
| <small>{{sagittal|!(}}{{sagittal|#}}</small>
| <small>{{sagittal|#}}</small>
|-
|-
| 3
| Revo
| 11.57
| <big>{{sagittal|(|)}}</big>
|  
| <big>{{sagittal|(|\}}</big>
| [[169/168|S13 = 169/168]], [[144/143|S12 = 144/143]], 171/170
| <big>{{sagittal|)||(}}</big>
| <big>{{sagittal|)~||}}</big>
| <big>{{sagittal|~||(}}</big>
| <big>{{sagittal|)||~}}</big>
| <big>{{sagittal|/||}}</big>
| <big>{{sagittal|||)}}</big>
| <big>{{sagittal|||\}}</big>
| <big>{{sagittal|~||)}}</big>
| <big>{{sagittal|(||(}}</big>
| <big>{{sagittal|~||\}}</big>
| <big>{{sagittal|//||}}</big>
| <big>{{sagittal|/||)}}</big>
| <big>{{sagittal|/||\}}</big>
|}
</div>
 
=== Syntonic–rastmic subchroma notation ===
[[Syntonic–rastmic subchroma notation]] in textual form.
<div style="overflow-x: auto;">
{| class="wikitable center-all"
|-
|-
! Steps
| 1
| 2
| 3
| 4
| 4
| 15.43
|
| 124/123, [[121/120]], [[120/119]], 117/116, 116/115, [[115/114]], 114/113, 113/112, 112/111, 111/110, 110/109, 109/108, [[105/104]], 102/101, ''100/99''
|-
| 5
| 5
| 19.29
|
| ''101/100'', [[99/98]], [[96/95]], 93/92, [[92/91]], [[91/90]], 90/89, 89/88, 88/87, [[85/84]], ''82/81''
|-
| 6
| 6
| 23.15
|
| [[81/80]], [[78/77]], [[77/76]], [[76/75]], 75/74, 74/73, 73/72, [[70/69]]
|-
| 7
| 7
| 27.0
|
| [[69/68]], [[66/65]], '''[[65/64]]''', '''[[64/63]]''', 63/62, 123/121, ''119/117''
|-
| 8
| 8
| 30.86
| sd2
| ''121/119'', [[117/115]], 58/57, 115/113, [[57/56]], 113/111, [[56/55]], 111/109, [[55/54]]
|-
| 9
| 9
| 34.72
|
| [[52/51]], [[51/50]], 101/99, [[50/49]], [[49/48]], ''95/93''
|-
| 10
| 10
| 38.58
|
| 93/91, [[46/45]], 91/89, [[45/44]], 89/87
|-
| 11
| 11
| 42.44
| 12
|
| ''87/85'', 42/41, 124/121, 41/40, [[40/39]], 119/116
|-
| 12
| 46.3
|
| [[39/38]], 116/113, [[77/75]], [[115/112]], 38/37, 113/110, 75/73, 112/109, 37/36
|-
| 13
| 13
| 50.16
|
| [[36/35]], [[35/34]], 104/101, [[34/33]]
|-
| 14
| 14
| 54.01
|
| 101/98, '''[[33/32]]''', [[98/95]], [[65/63]], '''[[32/31]]''', [[95/92]]
|-
| 15
| 15
| 57.87
| sA1
| 31/30, 123/119, 92/89, [[91/88]], [[121/117]], 30/29, [[119/115]]
|-
| 16
| 16
| 61.73
|
| [[88/85]], 117/113, 29/28, 115/111, [[57/55]], 85/82, 113/109, [[28/27]]
|-
| 17
| 17
| 65.59
|
| 109/105, [[27/26]], [[80/77]], 105/101
|-
| 18
| 18
| 69.45
|
| [[26/25]], 77/74, '''[[128/123]]''', [[51/49]], 76/73, [[126/121]], [[25/24]]
|-
| 19
| 19
| 73.31
|
| ''124/119'', [[99/95]], 73/70, 121/116, [[24/23]], [[119/114]], [[95/91]]
|-
| 20
| 20
| 77.17
|
| [[117/112]], 93/89, 116/111, [[23/22]], 114/109, 91/87, [[68/65]], 113/108
|-
| 21
| 21
| 81.02
|
| 89/85, [[22/21]], 109/104, 65/62, ''85/81''
|-
| 22
| 22
| 84.88
|
| [[21/20]], [[104/99]], 41/39
|-
| 23
| 23
| 88.74
| m2
| [[81/77]], 101/96, [[121/115]], [[20/19]], 119/113, 98/93
|-
| 24
| 24
| 92.6
|
| 39/37, 58/55, 77/73, [[96/91]], 115/109, [[19/18]]
|-
| 25
| 25
| 96.46
|
| 93/88, 130/123, 37/35, 92/87, [[55/52]], '''[[128/121]]''', 73/69
|-
| 26
| 26
| 100.32
|
| [[18/17]], 89/84, 124/117, 123/116, [[35/33]]
|-
| 27
| 27
| 104.18
|
| 87/82, [[52/49]], [[121/114]], [[69/65]], 120/113, '''[[17/16]]'''
|-
| 28
| 28
| 108.03
|
| ''101/95'', [[117/110]], 116/109, 33/31, [[115/108]], 82/77, [[49/46]]
|-
| 29
| 29
| 111.89
|
| [[81/76]], '''[[16/15]]''', 111/104, 95/89
|-
| 30
| 30
| 115.75
| A1
| 78/73, 109/102, 31/29, 108/101, [[77/72]], 123/115
|-
|-
| 31
! Symbol
| 119.61
| >
|  
| /
| [[91/85]], 121/113, [[15/14]], 119/111, 74/69
| />
|-
| ↑\
| 32
| ↑<
| 123.47
| ↑
|  
| ↑>
| 44/41, 117/109, 73/68, [[102/95]], 29/27, [[130/121]], ''100/93''
| ↑/
|-
| ↑/>
| 33
| ↑↑\
| 127.33
| ↑↑<
|
| ↑↑
| '''[[128/119]]''', [[99/92]], 113/105, [[14/13]]
| ↑↑>
|-
| t<
| 34
| t
| 131.18
| t>
|
| #↓↓<
| '''[[69/64]]''', 124/115, [[55/51]], 96/89, 41/38, 109/101, [[68/63]], [[95/88]]
| #↓↓
|-
| #↓↓>
| 35
| #↓↓/
| 135.04
| #↓\<
|
| #↓\
| [[27/25]], [[121/112]], 40/37, [[119/110]]
| #↓<
|-
| #↓
| 36
| #↓>
| 138.9
| #↓/
|  
| #\<
| [[92/85]], [[13/12]]
| #\
| #<
| #
|}
</div>
 
=== Ups and downs notation ===
[[Ups and downs notation]] uses ^ and v (up and down) to stand for 1 edostep and > and < (quip and quid) to stand for 5 edosteps. The spoken names run up, dup, trup, quup/downquip, quip, upquip, etc. >> is quipquip and >>> is tripquip. Quarter-tone accidentals can also be used for 311edo.
 
{{Ups and downs sharpness|311|true}}
 
== JI approximation ==
=== 41-odd-limit interval mappings ===
{{Q-odd-limit intervals|311|limit=41}}
 
=== Higher-limit JI ===
311edo does not maintain [[monotonicity]] in the 43-odd-limit using either mapping for 43. Therefore it may be best to consider 311edo a temperament of the 41-limit, with sporadic additional primes.
 
The 41-limit add-73 add-89 add-101 add-109 add-113 123-odd-limit is represented very close to completely [[consistent]]ly, and as aforementioned, the 77-odd-limit subset of that odd-limit is purely consistent, to which a variety of odds can be added that keep pure consistency, but for comprehensiveness and practical use as a temperament approximating the low-to-mid end of the harmonic series, we consider a larger odd-limit than that which seeks to be more complete.
 
There are 884 interval pairs in that odd limit (the 41-limit add-73 add-89 add-101 add-109 add-113 123-odd-limit), where ''pairs'' refers to that each interval has an [[octave complement]] with equal and opposite error. That odd limit can be described explicitly as the [[tonality diamond]] of {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 45, 49, 51, 55, 57, 63, 65, 69, 73, 75, 77, 81, 85, 87, 89, 91, 93, 95, 99, 101, 105, 109, 111, 113, 115, 117, 119, 121, 123}. We can also express that odd-limit as the 123-odd-limit minus only the following twelve prime odds: {43, 47, 53, 59, 61, 67, 71, 79, 83, 97, 103, 107}.
 
Of those 884 interval pairs, only 42 interval pairs (< 4.8%) are inconsistent, not mapped to the nearest interval of 311edo but to the second-nearest interval. Reduced to the lower half of the octave, these intervals, from smallest to largest, are: 101/100, 100/99, 82/81, 121/119, 119/117, 95/93, 87/85, 124/119, 85/81, 101/95, 100/93, 85/78, 93/85, 119/108, 93/82, 81/70, 138/119, 136/117, 99/85, 117/100, 95/81, 119/101, 101/85, 81/68, 140/117, 119/99, 117/95, 85/69, 100/81, 108/85, 119/93, 85/66, 156/119, 93/70, 162/119, 93/68, 119/87, 85/62, 117/85, 140/101, 164/117, 170/121.
 
Of them, only 6 interval pairs (119/117, 85/81, 93/85, 101/85, 119/93, 117/85) are more than 10% inconsistent, which is to say, all 36 of the other inconsistent intervals have less than 60% of a step of 311edo of error relative to where they are mapped in 311edo by the patent val, which is to say less than 60% [[relative interval error|relative error]], which is equal to 2.3{{cent}}. The 6 highest-error intervals mentioned instead have less than 2/3 (~66.7&) relative error.
 
The below table was generated by a simple Python 3 script to print it in plaintext using [[User: Godtone #My Python 3 code|Godtone's code]] to simplify certain steps. It should be noted that while almost all intervals shown in the table are intervals of the 123-odd-limit restricted to the aforementioned prime subgroup, the [[square-particular]]s up to [[1681/1680]] ({{S|41}}, (41/40)/(42/41)) were added manually for completeness and reference in understanding the mapping of the [[41-odd-limit]] by 311edo for the first three edosteps and the unison. The rest of the table is algorithmically generated.
 
{| class="mw-collapsible mw-collapsed wikitable center-1 center-2 center-3"
|+ style="font-size: 105%; white-space: nowrap;" | Table of 311edo intervals
|-
|-
| 37
! #
| 142.76
! Cents
|
! Marks
| 89/82, [[38/35]], 101/93, 63/58, [[88/81]], 113/104, [[25/23]]
! Approximate Intervals<ref group="note">Odd harmonics and subharmonics are in '''bold''', inconsistent intervals in ''italics''</ref>
|-
|-
| 38
| 0
| 146.62
| 0.0
| N2
| P1
| 87/80, 62/57, [[99/91]], 37/34, 123/113, [[49/45]], 110/101, ''85/78''
| '''1/1''', [[1681/1680|S41]], [[1600/1599|S40]], [[1444/1443|S38]], [[1369/1368|S37]], [[1225/1224|S35 = S49*S50]], [[1156/1155|S34]], [[1024/1023|S32]], [[900/899|S30]], ''[[784/783|S28]]'', ''[[625/624|S25]]''  
|-
|-
| 39
| 1
| 150.48
| 3.85
|  
|  
| 109/100, 121/111, [[12/11]], 119/109, 95/87
| ''[[1521/1520|S39]]'', ''[[1296/1295|S36]]'', ''[[1089/1088|S33]]'', ''[[961/960|S31]]'', [[841/840|S29]], [[729/728|S27]], [[676/675|S26 = S13/S15]], [[576/575|S24]], [[529/528|S23]], [[484/483|S22]], [[441/440|S21 = 441/440]], [[400/399|S20 = 400/399]], [[361/360|S19 = 361/360]], ''[[289/288|S17 = 289/288]]''
|-
|-
| 40
| 2
| 154.34
| 7.71
|  
|  
| [[130/119]], 82/75, '''[[35/32]]''', '''[[128/117]]'''
| ''[[324/323|S18 = 324/323]]'', [[256/255|S16 = 256/255]], [[243/242|S9/S11 = 243/242]], [[225/224|S15 = 225/224]], [[196/195|S14 = 196/195]], ''[[170/169]]''
|-
|-
| 41
| 3
| 158.19
| 11.57
|  
|  
| ''93/85'', 81/74, [[104/95]], [[23/21]], [[126/115]], 80/73, [[57/52]], 34/31
| [[169/168|S13 = 169/168]], [[144/143|S12 = 144/143]], [[171/170]]
|-
|-
| 42
| 4
| 162.05
| 15.43
|  
|  
| 124/113, 45/41, 101/92, [[56/51]], 123/112, 89/81, [[100/91]], 111/101
| [[124/123]], [[121/120]], [[120/119]], [[117/116]], [[116/115]], [[115/114]], [[114/113]], [[113/112]], [[112/111]], [[111/110]], [[110/109]], [[109/108]], [[105/104]], [[102/101]], ''[[100/99]]''
|-
|-
| 43
| 5
| 165.91
| 19.29
|  
|  
| [[11/10]], 120/109, 109/99, 98/89, [[76/69]], ''119/108''
| ''[[101/100]]'', [[99/98]], [[96/95]], [[93/92]], [[92/91]], [[91/90]], [[90/89]], [[89/88]], [[88/87]], [[85/84]], ''[[82/81]]''
|-
|-
| 44
| 6
| 169.77
| 23.15
|  
|  
| [[54/49]], [[75/68]], '''[[32/29]]''', [[85/77]]
| [[81/80]], [[78/77]], [[77/76]], [[76/75]], [[75/74]], [[74/73]], [[73/72]], [[70/69]]
|-
|-
| 45
| 7
| 173.63
| 27.0
|  
|  
| 116/105, [[21/19]], 136/123, [[115/104]], 73/66
| [[69/68]], [[66/65]], '''[[65/64]]''', '''[[64/63]]''', [[63/62]], [[123/121]], ''[[119/117]]''
|-
|-
| 46
| 8
| 177.49
| 30.86
| d3
| sd2
| 31/28, [[72/65]], 113/102, 41/37, [[51/46]], 112/101
| ''[[121/119]]'', [[117/115]], [[58/57]], [[115/113]], [[57/56]], [[113/111]], [[56/55]], [[111/109]], [[55/54]]
|-
|-
| 47
| 9
| 181.35
| 34.72
|  
|  
| [[132/119]], 81/73, 91/82, 101/91, 111/100, 121/109, [[10/9]]
| [[52/51]], [[51/50]], [[101/99]], [[50/49]], [[49/48]], ''[[95/93]]''
|-
|-
| 48
| 10
| 185.2
| 38.58
|  
|  
| 109/98, 99/89, 89/80, 69/62, '''[[128/115]]''', [[49/44]]
| [[93/91]], [[46/45]], [[91/89]], [[45/44]], [[89/87]]
|-
|-
| 49
| 11
| 189.06
| 42.44
|  
|  
| [[39/35]], 126/113, 29/26, [[77/69]]
| ''[[87/85]]'', [[42/41]], [[124/121]], [[41/40]], [[40/39]], [[119/116]]
|-
|-
| 50
| 12
| 192.92
| 46.3
|  
|  
| 124/111, [[19/17]], 123/110, 104/93, [[85/76]], 113/101
| [[39/38]], [[116/113]], [[77/75]], [[115/112]], [[38/37]], [[113/110]], [[75/73]], [[112/109]], [[37/36]]
|-
|-
| 51
| 13
| 196.78
| 50.16
|  
|  
| [[28/25]], [[121/108]], 65/58, [[102/91]], 37/33
| [[36/35]], [[35/34]], [[104/101]], [[34/33]]
|-
|-
| 52
| 14
| 200.64
| 54.01
|  
|  
| 46/41, 101/90, [[55/49]], '''[[64/57]]''', 73/65, 82/73, [[91/81]], 100/89, [[136/121]]
| [[101/98]], '''[[33/32]]''', [[98/95]], [[65/63]], '''[[32/31]]''', [[95/92]]
|-
|-
| 53
| 15
| 204.5
| 57.87
| M2
| sA1
| '''[[9/8]]''', 98/87
| [[31/30]], [[123/119]], [[92/89]], [[91/88]], [[121/117]], [[30/29]], [[119/115]]
|-
|-
| 54
| 16
| 208.36
| 61.73
|  
|  
| 62/55, [[115/102]], [[44/39]], 123/109, 114/101, 35/31
| [[88/85]], [[117/113]], [[29/28]], [[115/111]], [[57/55]], [[85/82]], [[113/109]], [[28/27]]
|-
|-
| 55
| 17
| 212.21
| 65.59
|  
|  
| [[96/85]], 87/77, 113/100, [[26/23]], [[95/84]], [[112/99]]
| [[109/105]], [[27/26]], [[80/77]], [[105/101]]
|-
|-
| 56
| 18
| 216.07
| 69.45
|  
|  
| [[77/68]], 111/98, '''[[128/113]]''', [[17/15]]
| [[26/25]], [[77/74]], '''[[128/123]]''', [[51/49]], [[76/73]], [[126/121]], [[25/24]]
|-
|-
| 57
| 19
| 219.93
| 73.31
|  
|  
| ''93/82'', 101/89, 42/37, 109/96, [[92/81]], [[25/22]]
| ''[[124/119]]'', [[99/95]], [[73/70]], [[121/116]], [[24/23]], [[119/114]], [[95/91]]
|-
|-
| 58
| 20
| 223.79
| 77.17
|  
|  
| [[108/95]], 58/51, [[91/80]], 124/109, 33/29, 140/123, 74/65, 115/101, 41/36
| [[117/112]], [[93/89]], [[116/111]], [[23/22]], [[114/109]], [[91/87]], [[68/65]], [[113/108]]
|-
|-
| 59
| 21
| 227.65
| 81.02
|  
|  
| [[57/50]], [[65/57]], [[138/121]], '''[[73/64]]''', 89/78, [[105/92]], 113/99
| [[89/85]], [[22/21]], [[109/104]], [[65/62]], ''[[85/81]]''
|-
|-
| 60
| 22
| 231.51
| 84.88
|  
|  
| '''[[8/7]]''', [[119/104]]
| [[21/20]], [[104/99]], [[41/39]]
|-
|-
| 61
| 23
| 235.36
| 88.74
| sd3
| m2
| 87/76, [[63/55]], [[55/48]], 102/89
| [[81/77]], [[101/96]], [[121/115]], [[20/19]], [[119/113]], [[98/93]]
|-
|-
| 62
| 24
| 239.22
| 92.6
|  
|  
| [[39/34]], 109/95, 101/88, [[132/115]], 31/27, 116/101, 85/74, 100/87
| [[39/37]], [[58/55]], [[77/73]], [[96/91]], [[115/109]], [[19/18]]
|-
|-
| 63
| 25
| 243.08
| 96.46
|  
|  
| [[23/20]], 130/113, 84/73, [[38/33]]
| [[93/88]], [[130/123]], [[37/35]], [[92/87]], [[55/52]], '''[[128/121]]''', [[73/69]]
|-
|-
| 64
| 26
| 246.94
| 100.32
|  
|  
| [[121/105]], [[98/85]], 113/98, '''[[128/111]]''', [[15/13]]
| [[18/17]], [[89/84]], [[124/117]], [[123/116]], [[35/33]]
|-
|-
| 65
| 27
| 250.8
| 104.18
|  
|  
| [[52/45]], 89/77, 126/109, '''[[37/32]]''', [[140/121]]
| [[87/82]], [[52/49]], [[121/114]], [[69/65]], [[120/113]], '''[[17/16]]'''
|-
|-
| 66
| 28
| 254.66
| 108.03
|  
|  
| ''81/70'', [[22/19]], 117/101, 95/82, 73/63, [[51/44]], [[80/69]]
| ''[[101/95]]'', [[117/110]], [[116/109]], [[33/31]], [[115/108]], [[82/77]], [[49/46]]
|-
|-
| 67
| 29
| 258.52
| 111.89
|  
|  
| ''138/119'', 29/25, [[65/56]], 101/87, 36/31, [[115/99]], ''136/117''
| [[81/76]], '''[[16/15]]''', [[111/104]], [[95/89]]
|-
|-
| 68
| 30
| 262.37
| 115.75
| sA2
| A1
| 93/80, [[57/49]], [[121/104]], '''[[64/55]]''', 85/73
| [[78/73]], [[109/102]], [[31/29]], [[108/101]], [[77/72]], [[123/115]]
|-
|-
| 69
| 31
| 266.23
| 119.61
|  
|  
| ''99/85'', [[7/6]]
| [[91/85]], [[121/113]], [[15/14]], [[119/111]], [[74/69]]
|-
|-
| 70
| 32
| 270.09
| 123.47
|  
|  
| 132/113, 111/95, 104/89, [[90/77]], [[76/65]]
| [[44/41]], [[117/109]], [[73/68]], [[102/95]], [[29/27]], [[130/121]], ''[[100/93]]''
|-
|-
| 71
| 33
| 273.95
| 127.33
|  
|  
| ''117/100'', 48/41, 89/76, 130/111, 41/35, 116/99, '''[[75/64]]''', 109/93, 34/29, ''95/81''
| '''[[128/119]]''', [[99/92]], [[113/105]], [[14/13]]
|-
|-
| 72
| 34
| 277.81
| 131.18
|  
|  
| [[88/75]], [[115/98]], [[27/23]], '''[[128/109]]''', 74/63
| '''[[69/64]]''', [[124/115]], [[55/51]], [[96/89]], [[41/38]], [[109/101]], [[68/63]], [[95/88]]
|-
|-
| 73
| 35
| 281.67
| 135.04
|  
|  
| 87/74, [[20/17]], 113/96, 73/62, ''119/101''
| [[27/25]], [[121/112]], [[40/37]], [[119/110]]
|-
|-
| 74
| 36
| 285.53
| 138.9
|  
|  
| [[33/28]], [[112/95]], [[46/39]], 105/89, [[85/72]]
| [[92/85]], [[13/12]]
|-
|-
| 75
| 37
| 289.38
| 142.76
|  
|  
| 124/105, [[13/11]], [[136/115]], 123/104, 110/93
| [[89/82]], [[38/35]], [[101/93]], [[63/58]], [[88/81]], [[113/104]], [[25/23]]
|-
|-
| 76
| 38
| 293.24
| 146.62
| m3
| N2
| 58/49, [[45/38]], [[77/65]], 109/92, '''[[32/27]]'''
| [[87/80]], [[62/57]], [[99/91]], [[37/34]], [[123/113]], [[49/45]], [[110/101]], ''[[85/78]]''
|-
|-
| 77
| 39
| 297.1
| 150.48
|  
|  
| [[121/102]], 89/75, [[108/91]], 146/123, '''[[19/16]]''', 120/101, 82/69
| [[109/100]], [[121/111]], [[12/11]], [[119/109]], [[95/87]]
|-
|-
| 78
| 40
| 300.96
| 154.34
|  
|  
| ''101/85'', 44/37, 113/95, 69/58, [[119/100]], [[144/121]], [[25/21]]
| [[130/119]], [[82/75]], '''[[35/32]]''', '''[[128/117]]'''
|-
|-
| 79
| 41
| 304.82
| 158.19
|  
|  
| ''81/68'', 87/73, 31/26, 130/109, [[68/57]], [[105/88]], 37/31
| ''[[93/85]]'', [[81/74]], [[104/95]], [[23/21]], [[126/115]], [[80/73]], [[57/52]], [[34/31]]
|-
|-
| 80
| 42
| 308.68
| 162.05
|  
|  
| [[117/98]], [[92/77]], 49/41, 104/87, [[55/46]], ''140/117''
| [[124/113]], [[45/41]], [[101/92]], [[56/51]], [[123/112]], [[89/81]], [[100/91]], [[111/101]]
|-
|-
| 81
| 43
| 312.54
| 165.91
|  
|  
| [[91/76]], 109/91, [[115/96]], 121/101
| [[11/10]], [[120/109]], [[109/99]], [[98/89]], [[76/69]], ''[[119/108]]''
|-
|-
| 82
| 44
| 316.39
| 169.77
|
| [[54/49]], [[75/68]], '''[[32/29]]''', [[85/77]]
|-
| 45
| 173.63
|  
|  
| [[6/5]], ''119/99''
| [[116/105]], [[21/19]], [[136/123]], [[115/104]], [[73/66]]
|-
|-
| 83
| 46
| 320.25
| 177.49
| A2
| d3
| 101/84, 89/74, '''[[77/64]]''', 148/123, 136/113, [[65/54]], 112/93
| [[31/28]], [[72/65]], [[113/102]], [[41/37]], [[51/46]], [[112/101]]
|-
|-
| 84
| 47
| 324.11
| 181.35
|  
|  
| 88/73, 41/34, [[76/63]], 111/92, 146/121, 35/29
| [[132/119]], [[81/73]], [[91/82]], [[101/91]], [[111/100]], [[121/109]], [[10/9]]
|-
|-
| 85
| 48
| 327.97
| 185.2
|  
|  
| 99/82, 93/77, 29/24, [[110/91]], 75/62, [[98/81]]
| [[109/98]], [[99/89]], [[89/80]], [[69/62]], '''[[128/115]]''', [[49/44]]
|-
|-
| 86
| 49
| 331.83
| 189.06
|  
|  
| [[121/100]], [[144/119]], [[23/19]], 132/109, 109/90, [[63/52]], [[40/33]]
| [[39/35]], [[126/113]], [[29/26]], [[77/69]]
|-
|-
| 87
| 50
| 335.69
| 192.92
|  
|  
| [[91/75]], 108/89, [[17/14]], 113/93
| [[124/111]], [[19/17]], [[123/110]], [[104/93]], [[85/76]], [[113/101]]
|-
|-
| 88
| 51
| 339.54
| 196.78
|  
|  
| 62/51, 45/37, 73/60, [[28/23]], 123/101, [[95/78]]
| [[28/25]], [[121/108]], [[65/58]], [[102/91]], [[37/33]]
|-
|-
| 89
| 52
| 343.4
| 200.64
|  
|  
| '''[[39/32]]''', '''[[128/105]]''', 89/73, 50/41, 111/91
| [[46/41]], [[101/90]], [[55/49]], '''[[64/57]]''', [[73/65]], [[82/73]], [[91/81]], [[100/89]], [[136/121]]
|-
|-
| 90
| 53
| 347.26
| 204.5
| M2
| '''[[9/8]]''', [[98/87]]
|-
| 54
| 208.36
|  
|  
| 116/95, 138/113, [[11/9]], 148/121
| [[62/55]], [[115/102]], [[44/39]], [[123/109]], [[114/101]], [[35/31]]
|-
|-
| 91
| 55
| 351.12
| 212.21
| N3
|  
| [[104/85]], 93/76, [[60/49]], 109/89, [[49/40]], 136/111, 38/31
| [[96/85]], [[87/77]], [[113/100]], [[26/23]], [[95/84]], [[112/99]]
|-
|-
| 92
| 56
| 354.98
| 216.07
|  
|  
| [[92/75]], 146/119, [[27/22]], 124/101, [[70/57]], 113/92
| [[77/68]], [[111/98]], '''[[128/113]]''', [[17/15]]
|-
|-
| 93
| 57
| 358.84
| 219.93
|  
|  
| 91/74, 123/100, '''[[16/13]]''', ''85/69''
| ''[[93/82]]'', [[101/89]], [[42/37]], [[109/96]], [[92/81]], [[25/22]]
|-
|-
| 94
| 58
| 362.7
| 223.79
|  
|  
| ''117/95'', 101/82, [[69/56]], 90/73, 37/30, [[95/77]], ''100/81''
| [[108/95]], [[58/51]], [[91/80]], [[124/109]], [[33/29]], [[140/123]], [[74/65]], [[115/101]], [[41/36]]
|-
|-
| 95
| 59
| 366.55
| 227.65
|  
|  
| [[121/98]], [[21/17]], 152/123, 110/89, 89/72, [[68/55]], 115/93
| [[57/50]], [[65/57]], [[138/121]], '''[[73/64]]''', [[89/78]], [[105/92]], [[113/99]]
|-
|-
| 96
| 60
| 370.41
| 231.51
|  
|  
| [[99/80]], [[26/21]], 109/88, 140/113, [[57/46]], [[119/96]], [[150/121]]
| '''[[8/7]]''', [[119/104]]
|-
|-
| 97
| 61
| 374.27
| 235.36
|  
| sd3
| 31/25, 36/29, 113/91, 77/62, 41/33
| [[87/76]], [[63/55]], [[55/48]], [[102/89]]
|-
|-
| 98
| 62
| 378.13
| 239.22
|  
|  
| 87/70, 46/37, 148/119, 51/41, [[56/45]]
| [[39/34]], [[109/95]], [[101/88]], [[132/115]], [[31/27]], [[116/101]], [[85/74]], [[100/87]]
|-
|-
| 99
| 63
| 381.99
| 243.08
| d4
|  
| [[81/65]], 91/73, [[96/77]], 101/81, 111/89, 116/93, 126/101, 136/109, 146/117
| [[23/20]], [[130/113]], [[84/73]], [[38/33]]
|-
|-
| 100
| 64
| 385.85
| 246.94
|  
|  
| '''[[5/4]]'''
| [[121/105]], [[98/85]], [[113/98]], '''[[128/111]]''', [[15/13]]
|-
|-
| 101
| 65
| 389.71
| 250.8
|  
|  
| 154/123, [[144/115]], 124/99, [[119/95]], [[114/91]], 109/87
| [[52/45]], [[89/77]], [[126/109]], '''[[37/32]]''', [[140/121]]
|-
|-
| 102
| 66
| 393.56
| 254.66
|  
|  
| [[69/55]], '''[[64/51]]''', 123/98, 113/90, [[152/121]], [[49/39]]
| ''[[81/70]]'', [[22/19]], [[117/101]], [[95/82]], [[73/63]], [[51/44]], [[80/69]]
|-
|-
| 103
| 67
| 397.42
| 258.52
|  
|  
| 93/74, [[44/35]], 39/31, 112/89, 73/58, [[34/27]]
| ''[[138/119]]'', [[29/25]], [[65/56]], [[101/87]], [[36/31]], [[115/99]], ''[[136/117]]''
|-
|-
| 104
| 68
| 401.28
| 262.37
| sA2
| [[93/80]], [[57/49]], [[121/104]], '''[[64/55]]''', [[85/73]]
|-
| 69
| 266.23
|  
|  
| [[63/50]], 92/73, [[121/96]], [[150/119]], 29/23, 140/111, 111/88, 82/65
| ''[[99/85]]'', [[7/6]]
|-
|-
| 105
| 70
| 405.14
| 270.09
|  
|  
| 101/80, [[24/19]], [[115/91]], [[91/72]], 110/87, 148/117
| [[132/113]], [[111/95]], [[104/89]], [[90/77]], [[76/65]]
|-
|-
| 106
| 71
| 409.0
| 273.95
| M3
| 62/49, '''[[81/64]]''', 138/109, [[19/15]], '''[[128/101]]'''
|-
| 107
| 412.86
|  
|  
| 52/41, [[33/26]], 146/115, 113/89, [[80/63]]
| ''[[117/100]]'', [[48/41]], [[89/76]], [[130/111]], [[41/35]], [[116/99]], '''[[75/64]]''', [[109/93]], [[34/29]], ''[[95/81]]''
|-
|-
| 108
| 72
| 416.72
| 277.81
|  
|  
| ''108/85'', 89/70, [[117/92]], [[14/11]]
| [[88/75]], [[115/98]], [[27/23]], '''[[128/109]]''', [[74/63]]
|-
|-
| 109
| 73
| 420.57
| 281.67
|  
|  
| [[121/95]], 93/73, 144/113, [[65/51]], 116/91, [[51/40]], [[88/69]], 37/29
| [[87/74]], [[20/17]], [[113/96]], [[73/62]], ''[[119/101]]''
|-
|-
| 110
| 74
| 424.43
| 285.53
|  
|  
| [[152/119]], [[23/18]], ''119/93''
| [[33/28]], [[112/95]], [[46/39]], [[105/89]], [[85/72]]
|-
|-
| 111
| 75
| 428.29
| 289.38
|  
|  
| 87/68, '''[[32/25]]''', 105/82, 73/57, 114/89, '''[[41/32]]''', [[50/39]]
| [[124/105]], [[13/11]], [[136/115]], [[123/104]], [[110/93]]
|-
|-
| 112
| 76
| 432.15
| 293.24
| m3
| [[58/49]], [[45/38]], [[77/65]], [[109/92]], '''[[32/27]]'''
|-
| 77
| 297.1
|  
|  
| 109/85, [[77/60]], 95/74, [[104/81]], 113/88, 140/109
| [[121/102]], [[89/75]], [[108/91]], [[146/123]], '''[[19/16]]''', [[120/101]], [[82/69]]
|-
|-
| 113
| 78
| 436.01
| 300.96
|  
|  
| [[9/7]], 148/115, 130/101, 112/87, ''85/66''
| ''[[101/85]]'', [[44/37]], [[113/95]], [[69/58]], [[119/100]], [[144/121]], [[25/21]]
|-
|-
| 114
| 79
| 439.87
| 304.82
| sd4
|  
| 58/45, [[156/121]], [[49/38]], 89/69, 40/31
| ''[[81/68]]'', [[87/73]], [[31/26]], [[130/109]], [[68/57]], [[105/88]], [[37/31]]
|-
|-
| 115
| 80
| 443.72
| 308.68
|  
|  
| 31/24, 146/113, 115/89, [[84/65]], '''[[128/99]]''', 75/58, [[119/92]]
| [[117/98]], [[92/77]], [[49/41]], [[104/87]], [[55/46]], ''[[140/117]]''
|-
|-
| 116
| 81
| 447.58
| 312.54
|  
|  
| [[22/17]], 123/95, 101/78, [[136/105]], [[57/44]], [[35/27]]
| [[91/76]], [[109/91]], [[115/96]], [[121/101]]
|-
|-
| 117
| 82
| 451.44
| 316.39
|  
|  
| 48/37, 109/84, 74/57, [[100/77]], 113/87, [[152/117]]
| [[6/5]], ''[[119/99]]''
|-
|-
| 118
| 83
| 455.3
| 320.25
| A2
| [[101/84]], [[89/74]], '''[[77/64]]''', [[148/123]], [[136/113]], [[65/54]], [[112/93]]
|-
| 84
| 324.11
|  
|  
| [[13/10]], 160/123, 121/93, 95/73, 82/63
| [[88/73]], [[41/34]], [[76/63]], [[111/92]], [[146/121]], [[35/29]]
|-
|-
| 119
| 85
| 459.16
| 327.97
|  
|  
| [[99/76]], 116/89, 73/56, [[30/23]]
| [[99/82]], [[93/77]], [[29/24]], [[110/91]], [[75/62]], [[98/81]]
|-
|-
| 120
| 86
| 463.02
| 331.83
|  
|  
| 124/95, 111/85, '''[[64/49]]''', 81/62, [[98/75]], [[115/88]], 132/101, [[17/13]]
| [[121/100]], [[144/119]], [[23/19]], [[132/109]], [[109/90]], [[63/52]], [[40/33]]
|-
|-
| 121
| 87
| 466.88
| 335.69
| sA3
|  
| 89/68, [[72/55]], [[55/42]], 148/113, 38/29
| [[91/75]], [[108/89]], [[17/14]], [[113/93]]
|-
|-
| 122
| 88
| 470.73
| 339.54
|  
|  
| ''156/119'', 101/77, '''[[21/16]]''', [[130/99]]
| [[62/51]], [[45/37]], [[73/60]], [[28/23]], [[123/101]], [[95/78]]
|-
|-
| 123
| 89
| 474.59
| 343.4
|  
|  
| [[46/35]], 117/89, 96/73, [[121/92]], 146/111, [[25/19]], [[154/117]]
| '''[[39/32]]''', '''[[128/105]]''', [[89/73]], [[50/41]], [[111/91]]
|-
|-
| 124
| 90
| 478.45
| 347.26
|  
|  
| 54/41, [[112/85]], 29/22, [[120/91]], [[91/69]], [[95/72]]
| [[116/95]], [[138/113]], [[11/9]], [[148/121]]
|-
|-
| 125
| 91
| 482.31
| 351.12
| N3
| [[104/85]], [[93/76]], [[60/49]], [[109/89]], [[49/40]], [[136/111]], [[38/31]]
|-
| 92
| 354.98
|  
|  
| [[33/25]], 144/109, 37/28, [[152/115]], 115/87, [[119/90]], [[160/121]], 41/31
| [[92/75]], [[146/119]], [[27/22]], [[124/101]], [[70/57]], [[113/92]]
|-
|-
| 126
| 93
| 486.17
| 358.84
|  
|  
| [[45/34]], 49/37, [[102/77]]
| [[91/74]], [[123/100]], '''[[16/13]]''', ''[[85/69]]''
|-
|-
| 127
| 94
| 490.03
| 362.7
|  
|  
| [[126/95]], [[65/49]], [[69/52]], 73/55, 150/113, 77/58, '''[[85/64]]'''
| ''[[117/95]]'', [[101/82]], [[69/56]], [[90/73]], [[37/30]], [[95/77]], ''[[100/81]]''
|-
|-
| 128
| 95
| 493.89
| 366.55
|  
|  
| ''93/70'', 101/76, 109/82, 113/85, [[117/88]], [[121/91]]
| [[121/98]], [[21/17]], [[152/123]], [[110/89]], [[89/72]], [[68/55]], [[115/93]]
|-
|-
| 129
| 96
| 497.74
| 370.41
| P4
|  
| '''[[4/3]]'''
| [[99/80]], [[26/21]], [[109/88]], [[140/113]], [[57/46]], [[119/96]], [[150/121]]
|-
|-
| 130
| 97
| 501.6
| 374.27
|  
|  
| 123/92, 119/89
| [[31/25]], [[36/29]], [[113/91]], [[77/62]], [[41/33]]
|-
|-
| 131
| 98
| 505.46
| 378.13
|  
|  
| 99/74, [[91/68]], 87/65, [[162/121]], [[154/115]], [[75/56]], 146/109
| [[87/70]], [[46/37]], [[148/119]], [[51/41]], [[56/45]]
|-
|-
| 132
| 99
| 509.32
| 381.99
| d4
| [[81/65]], [[91/73]], [[96/77]], [[101/81]], [[111/89]], [[116/93]], [[126/101]], [[136/109]], [[146/117]]
|-
| 100
| 385.85
|  
|  
| [[114/85]], 55/41, [[51/38]], 98/73
| '''[[5/4]]'''
|-
|-
| 133
| 101
| 513.18
| 389.71
|  
|  
| [[121/90]], [[160/119]], 39/29, 152/113, 113/84, 74/55, 109/81, [[35/26]], 136/101
| [[154/123]], [[144/115]], [[124/99]], [[119/95]], [[114/91]], [[109/87]]
|-
|-
| 134
| 102
| 517.04
| 393.56
|  
|  
| 101/75, [[66/49]], '''[[128/95]]''', 31/23, 120/89, 89/66, [[85/63]]
| [[69/55]], '''[[64/51]]''', [[123/98]], [[113/90]], [[152/121]], [[49/39]]
|-
|-
| 135
| 103
| 520.9
| 397.42
|  
|  
| [[27/20]], [[104/77]], [[77/57]], 50/37, 123/91, 73/54, [[119/88]]
| [[93/74]], [[44/35]], [[39/31]], [[112/89]], [[73/58]], [[34/27]]
|-
|-
| 136
| 104
| 524.75
| 401.28
| A3
|  
| [[23/17]], 111/82, [[88/65]], [[65/48]], 42/31, 164/121
| [[63/50]], [[92/73]], [[121/96]], [[150/119]], [[29/23]], [[140/111]], [[111/88]], [[82/65]]
|-
|-
| 137
| 105
| 528.61
| 405.14
|  
|  
| 99/73, [[156/115]], [[19/14]], 148/109, [[110/81]]
| [[101/80]], [[24/19]], [[115/91]], [[91/72]], [[110/87]], [[148/117]]
|-
|-
| 138
| 106
| 532.47
| 409.0
|  
| M3
| '''[[87/64]]''', 121/89, [[34/25]], [[49/36]]
| [[62/49]], '''[[81/64]]''', [[138/109]], [[19/15]], '''[[128/101]]'''
|-
|-
| 139
| 107
| 536.33
| 412.86
|  
|  
| ''162/119'', 109/80, 124/91, 154/113, [[15/11]]
| [[52/41]], [[33/26]], [[146/115]], [[113/89]], [[80/63]]
|-
|-
| 140
| 108
| 540.19
| 416.72
|  
|  
| 116/85, 101/74, 56/41, 138/101, 41/30, [[160/117]], ''119/87''
| ''[[108/85]]'', [[89/70]], [[117/92]], [[14/11]]
|-
|-
| 141
| 109
| 544.05
| 420.57
|  
|  
| ''93/68'', [[26/19]], [[115/84]], 89/65, 152/111, [[63/46]], 100/73, 37/27, ''85/62''
| [[121/95]], [[93/73]], [[144/113]], [[65/51]], [[116/91]], [[51/40]], [[88/69]], [[37/29]]
|-
|-
| 142
| 110
| 547.9
| 424.43
|  
|  
| [[48/35]], [[70/51]], [[136/99]]
| [[152/119]], [[23/18]], ''[[119/93]]''
|-
|-
| 143
| 111
| 551.76
| 428.29
|  
|  
| '''[[11/8]]''', 150/109, '''[[128/93]]''', [[95/69]]
| [[87/68]], '''[[32/25]]''', [[105/82]], [[73/57]], [[114/89]], '''[[41/32]]''', [[50/39]]
|-
|-
| 144
| 112
| 555.62
| 432.15
| sA4
|  
| ''117/85'', 62/45, 113/82, 164/119, 51/37, [[91/66]], 40/29
| [[109/85]], [[77/60]], [[95/74]], [[104/81]], [[113/88]], [[140/109]]
|-
|-
| 145
| 113
| 559.48
| 436.01
|  
|  
| [[69/50]], 156/113, 29/21, [[105/76]], [[76/55]], 123/89, 170/123, [[112/81]]
| [[9/7]], [[148/115]], [[130/101]], [[112/87]], ''[[85/66]]''
|-
|-
| 146
| 114
| 563.34
| 439.87
|  
| sd4
| 101/73, [[18/13]], ''140/101''
| [[58/45]], [[156/121]], [[49/38]], [[89/69]], [[40/31]]
|-
|-
| 147
| 115
| 567.2
| 443.72
|  
|  
| [[104/75]], 154/111, 111/80, [[68/49]], [[168/121]], [[25/18]]
| [[31/24]], [[146/113]], [[115/89]], [[84/65]], '''[[128/99]]''', [[75/58]], [[119/92]]
|-
|-
| 148
| 116
| 571.06
| 447.58
|  
|  
| [[132/95]], 57/41, 146/105, '''[[89/64]]''', 121/87, '''[[32/23]]'''
| [[22/17]], [[123/95]], [[101/78]], [[136/105]], [[57/44]], [[35/27]]
|-
|-
| 149
| 117
| 574.91
| 451.44
|
| [[48/37]], [[109/84]], [[74/57]], [[100/77]], [[113/87]], [[152/117]]
|-
| 118
| 455.3
|  
|  
| [[39/28]], 124/89, [[46/33]], 152/109, 113/81
| [[13/10]], [[160/123]], [[121/93]], [[95/73]], [[82/63]]
|-
|-
| 150
| 119
| 578.77
| 459.16
|  
|  
| 81/58, [[88/63]], [[95/68]], 102/73, 109/78, 123/88, 130/93
| [[99/76]], [[116/89]], [[73/56]], [[30/23]]
|-
|-
| 151
| 120
| 582.63
| 463.02
|  
|  
| [[7/5]], ''164/117''
| [[124/95]], [[111/85]], '''[[64/49]]''', [[81/62]], [[98/75]], [[115/88]], [[132/101]], [[17/13]]
|-
|-
| 152
| 121
| 586.49
| 466.88
| d5
| sA3
| 115/82, [[108/77]], 101/72, 87/62, [[80/57]], 73/52, ''170/121''
| [[89/68]], [[72/55]], [[55/42]], [[148/113]], [[38/29]]
|-
|-
| 153
| 122
| 590.35
| 470.73
|  
|  
| 52/37, '''[[45/32]]''', '''[[128/91]]''', [[38/27]]
| ''[[156/119]]'', [[101/77]], '''[[21/16]]''', [[130/99]]
|-
|-
| 154
| 123
| 594.21
| 474.59
|  
|  
| [[69/49]], [[162/115]], 31/22, 148/105, [[55/39]]
| [[46/35]], [[117/89]], [[96/73]], [[121/92]], [[146/111]], [[25/19]], [[154/117]]
|-
|-
| 155
| 124
| 598.07
| 478.45
|  
|  
| [[24/17]], 113/80, 89/63, 154/109, [[65/46]], 41/29, [[140/99]]
| [[54/41]], [[112/85]], [[29/22]], [[120/91]], [[91/69]], [[95/72]]
|-
|-
| 156
| 125
| 601.92
| 482.31
|  
|  
| [[99/70]], 58/41, [[92/65]], 109/77, 126/89, 160/113, [[17/12]]
| [[33/25]], [[144/109]], [[37/28]], [[152/115]], [[115/87]], [[119/90]], [[160/121]], [[41/31]]
|-
|-
| 157
| 126
| 605.78
| 486.17
|  
|  
| [[78/55]], 105/74, 44/31, [[115/81]], [[98/69]]
| [[45/34]], [[49/37]], [[102/77]]
|-
|-
| 158
| 127
| 609.64
| 490.03
|  
|  
| [[27/19]], '''[[91/64]]''', '''[[64/45]]''', 37/26
| [[126/95]], [[65/49]], [[69/52]], [[73/55]], [[150/113]], [[77/58]], '''[[85/64]]'''
|-
|-
| 159
| 128
| 613.5
| 493.89
| A4
| ''121/85'', 104/73, [[57/40]], 124/87, 144/101, [[77/54]], 164/115
|-
| 160
| 617.36
|  
|  
| ''117/82'', [[10/7]]
| ''[[93/70]]'', [[101/76]], [[109/82]], [[113/85]], [[117/88]], [[121/91]]
|-
|-
| 161
| 129
| 621.22
| 497.74
|  
| P4
| 93/65, 176/123, 156/109, 73/51, [[136/95]], [[63/44]], 116/81
| '''[[4/3]]'''
|-
|-
| 162
| 130
| 625.08
| 501.6
|  
|  
| 162/113, 109/76, [[33/23]], 89/62, [[56/39]]
| [[123/92]], [[119/89]]
|-
|-
| 163
| 131
| 628.93
| 505.46
|  
|  
| '''[[23/16]]''', 174/121, '''[[128/89]]''', 105/73, 82/57, [[95/66]]
| [[99/74]], [[91/68]], [[87/65]], [[162/121]], [[154/115]], [[75/56]], [[146/109]]
|-
|-
| 164
| 132
| 632.79
| 509.32
|  
|  
| [[36/25]], [[121/84]], [[49/34]], 160/111, 111/77, [[75/52]]
| [[114/85]], [[55/41]], [[51/38]], [[98/73]]
|-
|-
| 165
| 133
| 636.65
| 513.18
|  
|  
| ''101/70'', [[13/9]], 146/101
| [[121/90]], [[160/119]], [[39/29]], [[152/113]], [[113/84]], [[74/55]], [[109/81]], [[35/26]], [[136/101]]
|-
|-
| 166
| 134
| 640.51
| 517.04
|  
|  
| [[81/56]], 123/85, 178/123, [[55/38]], [[152/105]], 42/29, 113/78, [[100/69]]
| [[101/75]], [[66/49]], '''[[128/95]]''', [[31/23]], [[120/89]], [[89/66]], [[85/63]]
|-
|-
| 167
| 135
| 644.37
| 520.9
| sd5
|  
| 29/20, [[132/91]], 74/51, 119/82, 164/113, 45/31, ''170/117''
| [[27/20]], [[104/77]], [[77/57]], [[50/37]], [[123/91]], [[73/54]], [[119/88]]
|-
| 136
| 524.75
| A3
| [[23/17]], [[111/82]], [[88/65]], [[65/48]], [[42/31]], [[164/121]]
|-
|-
| 168
| 137
| 648.23
| 528.61
|  
|  
| [[138/95]], '''[[93/64]]''', 109/75, '''[[16/11]]'''
| [[99/73]], [[156/115]], [[19/14]], [[148/109]], [[110/81]]
|-
|-
| 169
| 138
| 652.09
| 532.47
|  
|  
| [[99/68]], [[51/35]], [[35/24]]
| '''[[87/64]]''', [[121/89]], [[34/25]], [[49/36]]
|-
|-
| 170
| 139
| 655.94
| 536.33
|  
|  
| ''124/85'', 54/37, 73/50, [[92/63]], 111/76, 130/89, [[168/115]], [[19/13]], ''136/93''
| ''[[162/119]]'', [[109/80]], [[124/91]], [[154/113]], [[15/11]]
|-
|-
| 171
| 140
| 659.8
| 540.19
|  
|  
| ''174/119'', [[117/80]], 60/41, 101/69, 41/28, 148/101, 85/58
| [[116/85]], [[101/74]], [[56/41]], [[138/101]], [[41/30]], [[160/117]], ''[[119/87]]''
|-
|-
| 172
| 141
| 663.66
| 544.05
|  
|  
| [[22/15]], 113/77, 91/62, 160/109, ''119/81''
| ''[[93/68]]'', [[26/19]], [[115/84]], [[89/65]], [[152/111]], [[63/46]], [[100/73]], [[37/27]], ''[[85/62]]''
|-
|-
| 173
| 142
| 667.52
| 547.9
|  
|  
| [[72/49]], [[25/17]], 178/121, '''[[128/87]]'''
| [[48/35]], [[70/51]], [[136/99]]
|-
|-
| 174
| 143
| 671.38
| 551.76
|  
|  
| [[81/55]], 109/74, [[28/19]], [[115/78]], 146/99
| '''[[11/8]]''', [[150/109]], '''[[128/93]]''', [[95/69]]
|-
|-
| 175
| 144
| 675.24
| 555.62
| d6
| sA4
| 121/82, 31/21, [[96/65]], [[65/44]], 164/111, [[34/23]]
| ''[[117/85]]'', [[62/45]], [[113/82]], [[164/119]], [[51/37]], [[91/66]], [[40/29]]
|-
|-
| 176
| 145
| 679.09
| 559.48
|  
|  
| [[176/119]], 108/73, 182/123, 37/25, [[114/77]], [[77/52]], [[40/27]]
| [[69/50]], [[156/113]], [[29/21]], [[105/76]], [[76/55]], [[123/89]], [[170/123]], [[112/81]]
|-
|-
| 177
| 146
| 682.95
| 563.34
|  
|  
| [[126/85]], 132/89, 89/60, 46/31, '''[[95/64]]''', [[49/33]], 150/101
| [[101/73]], [[18/13]], ''[[140/101]]''
|-
|-
| 178
| 147
| 686.81
| 567.2
|  
|  
| 101/68, [[52/35]], 162/109, 55/37, 168/113, 113/76, 58/39, [[119/80]], [[180/121]]
| [[104/75]], [[154/111]], [[111/80]], [[68/49]], [[168/121]], [[25/18]]
|-
|-
| 179
| 148
| 690.67
| 571.06
|  
|  
| 73/49, [[76/51]], 82/55, [[85/57]]
| [[132/95]], [[57/41]], [[146/105]], '''[[89/64]]''', [[121/87]], '''[[32/23]]'''
|-
|-
| 180
| 149
| 694.53
| 574.91
|  
|  
| 109/73, [[112/75]], [[115/77]], [[121/81]], 130/87, [[136/91]], 148/99
| [[39/28]], [[124/89]], [[46/33]], [[152/109]], [[113/81]]
|-
|-
| 181
| 150
| 698.39
| 578.77
|  
|  
| 178/119, 184/123
| [[81/58]], [[88/63]], [[95/68]], [[102/73]], [[109/78]], [[123/88]], [[130/93]]
|-
|-
| 182
| 151
| 702.25
| 582.63
| P5
| '''[[3/2]]'''
|-
| 183
| 706.1
|  
|  
| [[182/121]], [[176/117]], 170/113, 164/109, 152/101, ''140/93''
| [[7/5]], ''[[164/117]]''
|-
|-
| 184
| 152
| 709.96
| 586.49
| d5
| [[115/82]], [[108/77]], [[101/72]], [[87/62]], [[80/57]], [[73/52]], ''[[170/121]]''
|-
| 153
| 590.35
|  
|  
| '''[[128/85]]''', 116/77, 113/75, 110/73, [[104/69]], [[98/65]], [[95/63]]
| [[52/37]], '''[[45/32]]''', '''[[128/91]]''', [[38/27]]
|-
|-
| 185
| 154
| 713.82
| 594.21
|  
|  
| [[77/51]], 74/49, [[68/45]]
| [[69/49]], [[162/115]], [[31/22]], [[148/105]], [[55/39]]
|-
|-
| 186
| 155
| 717.68
| 598.07
|  
|  
| 62/41, [[121/80]], [[180/119]], 174/115, [[115/76]], 56/37, 109/72, [[50/33]]
| [[24/17]], [[113/80]], [[89/63]], [[154/109]], [[65/46]], [[41/29]], [[140/99]]
|-
|-
| 187
| 156
| 721.54
| 601.92
|  
|  
| [[144/95]], [[138/91]], [[91/60]], 44/29, [[85/56]], 41/27
| [[99/70]], [[58/41]], [[92/65]], [[109/77]], [[126/89]], [[160/113]], [[17/12]]
|-
|-
| 188
| 157
| 725.4
| 605.78
|  
|  
| [[117/77]], [[38/25]], 111/73, [[184/121]], 73/48, 178/117, [[35/23]]
| [[78/55]], [[105/74]], [[44/31]], [[115/81]], [[98/69]]
|-
|-
| 189
| 158
| 729.26
| 609.64
|  
|  
| [[99/65]], '''[[32/21]]''', 154/101, ''119/78''
| [[27/19]], '''[[91/64]]''', '''[[64/45]]''', [[37/26]]
|-
|-
| 190
| 159
| 733.11
| 613.5
| sd6
| A4
| 29/19, 113/74, [[84/55]], [[55/36]], 136/89
| ''[[121/85]]'', [[104/73]], [[57/40]], [[124/87]], [[144/101]], [[77/54]], [[164/115]]
|-
|-
| 191
| 160
| 736.97
| 617.36
|  
|  
| [[26/17]], 101/66, [[176/115]], [[75/49]], 124/81, '''[[49/32]]''', 170/111, 95/62
| ''[[117/82]]'', [[10/7]]
|-
|-
| 192
| 161
| 740.83
| 621.22
|  
|  
| [[23/15]], 112/73, 89/58, [[152/99]]
| [[93/65]], [[176/123]], [[156/109]], [[73/51]], [[136/95]], [[63/44]], [[116/81]]
|-
|-
| 193
| 162
| 744.69
| 625.08
|  
|  
| 63/41, 146/95, 186/121, 123/80, [[20/13]]
| [[162/113]], [[109/76]], [[33/23]], [[89/62]], [[56/39]]
|-
|-
| 194
| 163
| 748.55
| 628.93
|  
|  
| [[117/76]], 174/113, [[77/50]], 57/37, 168/109, 37/24
| '''[[23/16]]''', [[174/121]], '''[[128/89]]''', [[105/73]], [[82/57]], [[95/66]]
|-
|-
| 195
| 164
| 752.41
| 632.79
|  
|  
| [[54/35]], [[88/57]], [[105/68]], 156/101, 190/123, [[17/11]]
| [[36/25]], [[121/84]], [[49/34]], [[160/111]], [[111/77]], [[75/52]]
|-
|-
| 196
| 165
| 756.27
| 636.65
|  
|  
| [[184/119]], 116/75, '''[[99/64]]''', [[65/42]], 178/115, 113/73, 48/31
| ''[[101/70]]'', [[13/9]], [[146/101]]
|-
|-
| 197
| 166
| 760.12
| 640.51
| sA5
|  
| 31/20, 138/89, [[76/49]], [[121/78]], 45/29
| [[81/56]], [[123/85]], [[178/123]], [[55/38]], [[152/105]], [[42/29]], [[113/78]], [[100/69]]
|-
|-
| 198
| 167
| 763.98
| 644.37
|  
| sd5
| ''132/85'', 87/56, 101/65, 115/74, [[14/9]]
| [[29/20]], [[132/91]], [[74/51]], [[119/82]], [[164/113]], [[45/31]], ''[[170/117]]''
|-
|-
| 199
| 168
| 767.84
| 648.23
|  
|  
| 109/70, 176/113, [[81/52]], 148/95, [[120/77]], 170/109
| [[138/95]], '''[[93/64]]''', [[109/75]], '''[[16/11]]'''
|-
|-
| 200
| 169
| 771.7
| 652.09
|  
|  
| [[39/25]], '''[[64/41]]''', 89/57, 114/73, 164/105, '''[[25/16]]''', 136/87
| [[99/68]], [[51/35]], [[35/24]]
|-
|-
| 201
| 170
| 775.56
| 655.94
|  
|  
| ''186/119'', [[36/23]], [[119/76]]
| ''[[124/85]]'', [[54/37]], [[73/50]], [[92/63]], [[111/76]], [[130/89]], [[168/115]], [[19/13]], ''[[136/93]]''
|-
|-
| 202
| 171
| 779.42
| 659.8
|
| ''[[174/119]]'', [[117/80]], [[60/41]], [[101/69]], [[41/28]], [[148/101]], [[85/58]]
|-
| 172
| 663.66
|  
|  
| 58/37, [[69/44]], [[80/51]], 91/58, [[102/65]], 113/72, 146/93, [[190/121]]
| [[22/15]], [[113/77]], [[91/62]], [[160/109]], ''[[119/81]]''
|-
|-
| 203
| 173
| 783.27
| 667.52
|  
|  
| [[11/7]], [[184/117]], 140/89, ''85/54''
| [[72/49]], [[25/17]], [[178/121]], '''[[128/87]]'''
|-
|-
| 204
| 174
| 787.13
| 671.38
|  
|  
| [[63/40]], 178/113, 115/73, [[52/33]], 41/26
| [[81/55]], [[109/74]], [[28/19]], [[115/78]], [[146/99]]
|-
|-
| 205
| 175
| 790.99
| 675.24
| m6
| d6
| '''[[101/64]]''', [[30/19]], 109/69, '''[[128/81]]''', 49/31
| [[121/82]], [[31/21]], [[96/65]], [[65/44]], [[164/111]], [[34/23]]
|-
|-
| 206
| 176
| 794.85
| 679.09
|  
|  
| 117/74, 87/55, [[144/91]], [[182/115]], [[19/12]], 160/101
| [[176/119]], [[108/73]], [[182/123]], [[37/25]], [[114/77]], [[77/52]], [[40/27]]
|-
|-
| 207
| 177
| 798.71
| 682.95
|  
|  
| 65/41, 176/111, 111/70, 46/29, [[119/75]], [[192/121]], 73/46, [[100/63]]
| [[126/85]], [[132/89]], [[89/60]], [[46/31]], '''[[95/64]]''', [[49/33]], [[150/101]]
|-
|-
| 208
| 178
| 802.57
| 686.81
|  
|  
| [[27/17]], 116/73, 89/56, 62/39, [[35/22]], 148/93
| [[101/68]], [[52/35]], [[162/109]], [[55/37]], [[168/113]], [[113/76]], [[58/39]], [[119/80]], [[180/121]]
|-
|-
| 209
| 179
| 806.43
| 690.67
|  
|  
| [[78/49]], [[121/76]], 180/113, 196/123, '''[[51/32]]''', [[110/69]]
| [[73/49]], [[76/51]], [[82/55]], [[85/57]]
|-
|-
| 210
| 180
| 810.28
| 694.53
|  
|  
| 174/109, [[91/57]], [[190/119]], 99/62, [[115/72]], 123/77
| [[109/73]], [[112/75]], [[115/77]], [[121/81]], [[130/87]], [[136/91]], [[148/99]]
|-
|-
| 211
| 181
| 814.14
| 698.39
|  
|  
| '''[[8/5]]'''
| [[178/119]], [[184/123]]
|-
|-
| 212
| 182
| 818.0
| 702.25
| A5
| P5
| 117/73, 109/68, 101/63, 93/58, 178/111, 162/101, [[77/48]], 146/91, [[130/81]]
| '''[[3/2]]'''
|-
|-
| 213
| 183
| 821.86
| 706.1
|  
|  
| [[45/28]], 82/51, 119/74, 37/23, 140/87
| [[182/121]], [[176/117]], [[170/113]], [[164/109]], [[152/101]], ''[[140/93]]''
|-
|-
| 214
| 184
| 825.72
| 709.96
|  
|  
| 66/41, 124/77, 182/113, 29/18, 50/31
| '''[[128/85]]''', [[116/77]], [[113/75]], [[110/73]], [[104/69]], [[98/65]], [[95/63]]
|-
|-
| 215
| 185
| 829.58
| 713.82
|  
|  
| [[121/75]], [[192/119]], [[92/57]], 113/70, 176/109, [[21/13]], [[160/99]]
| [[77/51]], [[74/49]], [[68/45]]
|-
|-
| 216
| 186
| 833.44
| 717.68
|  
|  
| 186/115, [[55/34]], 144/89, 89/55, 123/76, [[34/21]], [[196/121]]
| [[62/41]], [[121/80]], [[180/119]], [[174/115]], [[115/76]], [[56/37]], [[109/72]], [[50/33]]
|-
|-
| 217
| 187
| 837.29
| 721.54
|  
|  
| ''81/50'', [[154/95]], 60/37, 73/45, [[112/69]], 164/101, ''190/117''
| [[144/95]], [[138/91]], [[91/60]], [[44/29]], [[85/56]], [[41/27]]
|-
|-
| 218
| 188
| 841.15
| 725.4
|  
|  
| ''138/85'', '''[[13/8]]''', 200/123, 148/91
| [[117/77]], [[38/25]], [[111/73]], [[184/121]], [[73/48]], [[178/117]], [[35/23]]
|-
|-
| 219
| 189
| 845.01
| 729.26
|  
|  
| 184/113, [[57/35]], 101/62, [[44/27]], 119/73, [[75/46]]
| [[99/65]], '''[[32/21]]''', [[154/101]], ''[[119/78]]''
|-
|-
| 220
| 190
| 848.87
| 733.11
| N6
| sd6
| 31/19, 111/68, [[80/49]], 178/109, [[49/30]], 152/93, [[85/52]]
| [[29/19]], [[113/74]], [[84/55]], [[55/36]], [[136/89]]
|-
|-
| 221
| 191
| 852.73
| 736.97
|  
|  
| 121/74, [[18/11]], 113/69, 95/58
| [[26/17]], [[101/66]], [[176/115]], [[75/49]], [[124/81]], '''[[49/32]]''', [[170/111]], [[95/62]]
|-
|-
| 222
| 192
| 856.59
| 740.83
|  
|  
| 182/111, 41/25, 146/89, '''[[105/64]]''', '''[[64/39]]'''
| [[23/15]], [[112/73]], [[89/58]], [[152/99]]
|-
|-
| 223
| 193
| 860.45
| 744.69
|  
|  
| [[156/95]], 202/123, [[23/14]], 120/73, 74/45, 51/31
| [[63/41]], [[146/95]], [[186/121]], [[123/80]], [[20/13]]
|-
|-
| 224
| 194
| 864.3
| 748.55
|  
|  
| 186/113, [[28/17]], 89/54, [[150/91]]
| [[117/76]], [[174/113]], [[77/50]], [[57/37]], [[168/109]], [[37/24]]
|-
|-
| 225
| 195
| 868.16
| 752.41
|  
|  
| [[33/20]], [[104/63]], 180/109, 109/66, [[38/23]], [[119/72]], [[200/121]]
| [[54/35]], [[88/57]], [[105/68]], [[156/101]], [[190/123]], [[17/11]]
|-
|-
| 226
| 196
| 872.02
| 756.27
|  
|  
| [[81/49]], 124/75, [[91/55]], 48/29, 154/93, 164/99
| [[184/119]], [[116/75]], '''[[99/64]]''', [[65/42]], [[178/115]], [[113/73]], [[48/31]]
|-
| 197
| 760.12
| sA5
| [[31/20]], [[138/89]], [[76/49]], [[121/78]], [[45/29]]
|-
|-
| 227
| 198
| 875.88
| 763.98
|  
|  
| 58/35, 121/73, 184/111, [[63/38]], 68/41, 73/44
| ''[[132/85]]'', [[87/56]], [[101/65]], [[115/74]], [[14/9]]
|-
|-
| 228
| 199
| 879.74
| 767.84
| d7
|  
| 93/56, [[108/65]], 113/68, 123/74, '''[[128/77]]''', 148/89, 168/101
| [[109/70]], [[176/113]], [[81/52]], [[148/95]], [[120/77]], [[170/109]]
|-
|-
| 229
| 200
| 883.6
| 771.7
|  
|  
| ''198/119'', [[5/3]]
| [[39/25]], '''[[64/41]]''', [[89/57]], [[114/73]], [[164/105]], '''[[25/16]]''', [[136/87]]
|-
|-
| 230
| 201
| 887.45
| 775.56
|  
|  
| 202/121, [[192/115]], 182/109, [[152/91]]
| ''[[186/119]]'', [[36/23]], [[119/76]]
|-
|-
| 231
| 202
| 891.31
| 779.42
|  
|  
| ''117/70'', [[92/55]], 87/52, 82/49, [[77/46]], [[196/117]]
| [[58/37]], [[69/44]], [[80/51]], [[91/58]], [[102/65]], [[113/72]], [[146/93]], [[190/121]]
|-
|-
| 232
| 203
| 895.17
| 783.27
|  
|  
| 62/37, [[176/105]], [[57/34]], 109/65, 52/31, 146/87, ''136/81''
| [[11/7]], [[184/117]], [[140/89]], ''[[85/54]]''
|-
|-
| 233
| 204
| 899.03
| 787.13
|  
|  
| [[42/25]], [[121/72]], [[200/119]], 116/69, 190/113, 37/22, ''170/101''
| [[63/40]], [[178/113]], [[115/73]], [[52/33]], [[41/26]]
|-
|-
| 234
| 205
| 902.89
| 790.99
| m6
| '''[[101/64]]''', [[30/19]], [[109/69]], '''[[128/81]]''', [[49/31]]
|-
| 206
| 794.85
|  
|  
| 69/41, 101/60, '''[[32/19]]''', 123/73, [[91/54]], 150/89, [[204/121]]
| [[117/74]], [[87/55]], [[144/91]], [[182/115]], [[19/12]], [[160/101]]
|-
|-
| 235
| 207
| 906.75
| 798.71
| M6
| '''[[27/16]]''', 184/109, [[130/77]], [[76/45]], 49/29
|-
| 236
| 910.61
|  
|  
| 93/55, 208/123, [[115/68]], [[22/13]], 105/62
| [[65/41]], [[176/111]], [[111/70]], [[46/29]], [[119/75]], [[192/121]], [[73/46]], [[100/63]]
|-
|-
| 237
| 208
| 914.46
| 802.57
|  
|  
| [[144/85]], 178/105, [[39/23]], [[95/56]], [[56/33]]
| [[27/17]], [[116/73]], [[89/56]], [[62/39]], [[35/22]], [[148/93]]
|-
|-
| 238
| 209
| 918.32
| 806.43
|  
|  
| ''202/119'', 124/73, 192/113, [[17/10]], 148/87
| [[78/49]], [[121/76]], [[180/113]], [[196/123]], '''[[51/32]]''', [[110/69]]
|-
|-
| 239
| 210
| 922.18
| 810.28
|  
|  
| 63/37, '''[[109/64]]''', [[46/27]], [[196/115]], [[75/44]]
| [[174/109]], [[91/57]], [[190/119]], [[99/62]], [[115/72]], [[123/77]]
|-
|-
| 240
| 211
| 926.04
| 814.14
|  
|  
| ''162/95'', 29/17, 186/109, '''[[128/75]]''', 99/58, 70/41, 111/65, 152/89, 41/24, ''200/117''
| '''[[8/5]]'''
|-
|-
| 241
| 212
| 929.9
| 818.0
|  
| A5
| [[65/38]], [[77/45]], 89/52, 190/111, 113/66
| [[117/73]], [[109/68]], [[101/63]], [[93/58]], [[178/111]], [[162/101]], [[77/48]], [[146/91]], [[130/81]]
|-
|-
| 242
| 213
| 933.76
| 821.86
|  
|  
| [[12/7]], ''170/99''
| [[45/28]], [[82/51]], [[119/74]], [[37/23]], [[140/87]]
|-
|-
| 243
| 214
| 937.62
| 825.72
| sd7
|  
| 146/85, '''[[55/32]]''', [[208/121]], [[98/57]], 160/93
| [[66/41]], [[124/77]], [[182/113]], [[29/18]], [[50/31]]
|-
|-
| 244
| 215
| 941.47
| 829.58
|  
|  
| ''117/68'', [[198/115]], 31/18, 174/101, [[112/65]], 50/29, ''119/69''
| [[121/75]], [[192/119]], [[92/57]], [[113/70]], [[176/109]], [[21/13]], [[160/99]]
|-
|-
| 245
| 216
| 945.33
| 833.44
|  
|  
| [[69/40]], [[88/51]], 126/73, 164/95, 202/117, [[19/11]], ''140/81''
| [[186/115]], [[55/34]], [[144/89]], [[89/55]], [[123/76]], [[34/21]], [[196/121]]
|-
|-
| 246
| 217
| 949.19
| 837.29
|  
|  
| [[121/70]], '''[[64/37]]''', 109/63, 154/89, [[45/26]]
| ''[[81/50]]'', [[154/95]], [[60/37]], [[73/45]], [[112/69]], [[164/101]], ''[[190/117]]''
|-
|-
| 247
| 218
| 953.05
| 841.15
|  
|  
| [[26/15]], '''[[111/64]]''', 196/113, [[85/49]], [[210/121]]
| ''[[138/85]]'', '''[[13/8]]''', [[200/123]], [[148/91]]
|-
|-
| 248
| 219
| 956.91
| 845.01
|  
|  
| [[33/19]], 73/42, 113/65, [[40/23]]
| [[184/113]], [[57/35]], [[101/62]], [[44/27]], [[119/73]], [[75/46]]
|-
|-
| 249
| 220
| 960.77
| 848.87
| N6
| [[31/19]], [[111/68]], [[80/49]], [[178/109]], [[49/30]], [[152/93]], [[85/52]]
|-
| 221
| 852.73
|  
|  
| 87/50, 148/85, 101/58, 54/31, [[115/66]], 176/101, 190/109, [[68/39]]
| [[121/74]], [[18/11]], [[113/69]], [[95/58]]
|-
|-
| 250
| 222
| 964.63
| 856.59
| sA6
|  
| 89/51, [[96/55]], [[110/63]], 152/87
| [[182/111]], [[41/25]], [[146/89]], '''[[105/64]]''', '''[[64/39]]'''
|-
|-
| 251
| 223
| 968.48
| 860.45
|  
|  
| [[208/119]], '''[[7/4]]'''
| [[156/95]], [[202/123]], [[23/14]], [[120/73]], [[74/45]], [[51/31]]
|-
|-
| 252
| 224
| 972.34
| 864.3
|  
|  
| 198/113, [[184/105]], 156/89, '''[[128/73]]''', [[121/69]], [[114/65]], [[100/57]]
| [[186/113]], [[28/17]], [[89/54]], [[150/91]]
|-
|-
| 253
| 225
| 976.2
| 868.16
|  
|  
| 72/41, 202/115, 65/37, 123/70, 58/33, 109/62, [[160/91]], 51/29, [[95/54]]
| [[33/20]], [[104/63]], [[180/109]], [[109/66]], [[38/23]], [[119/72]], [[200/121]]
|-
|-
| 254
| 226
| 980.06
| 872.02
|  
|  
| [[44/25]], [[81/46]], 192/109, 37/21, 178/101, ''164/93''
| [[81/49]], [[124/75]], [[91/55]], [[48/29]], [[154/93]], [[164/99]]
|-
|-
| 255
| 227
| 983.92
| 875.88
|  
|  
| [[30/17]], '''[[113/64]]''', 196/111, [[136/77]]
| [[58/35]], [[121/73]], [[184/111]], [[63/38]], [[68/41]], [[73/44]]
|-
| 228
| 879.74
| d7
| [[93/56]], [[108/65]], [[113/68]], [[123/74]], '''[[128/77]]''', [[148/89]], [[168/101]]
|-
|-
| 256
| 229
| 987.78
| 883.6
|  
|  
| [[99/56]], [[168/95]], [[23/13]], 200/113, 154/87, [[85/48]]
| ''[[198/119]]'', [[5/3]]
|-
|-
| 257
| 230
| 991.63
| 887.45
|  
|  
| 62/35, 101/57, 218/123, [[39/22]], [[204/115]], 55/31
| [[202/121]], [[192/115]], [[182/109]], [[152/91]]
|-
|-
| 258
| 231
| 995.49
| 891.31
| m7
| 87/49, '''[[16/9]]'''
|-
| 259
| 999.35
|  
|  
| [[121/68]], 89/50, [[162/91]], 73/41, 130/73, '''[[57/32]]''', [[98/55]], 180/101, 41/23
| ''[[117/70]]'', [[92/55]], [[87/52]], [[82/49]], [[77/46]], [[196/117]]
|-
|-
| 260
| 232
| 1003.21
| 895.17
|  
|  
| 66/37, [[91/51]], 116/65, [[216/121]], [[25/14]]
| [[62/37]], [[176/105]], [[57/34]], [[109/65]], [[52/31]], [[146/87]], ''[[136/81]]''
|-
|-
| 261
| 233
| 1007.07
| 899.03
|  
|  
| 202/113, [[152/85]], 93/52, 220/123, [[34/19]], 111/62
| [[42/25]], [[121/72]], [[200/119]], [[116/69]], [[190/113]], [[37/22]], ''[[170/101]]''
|-
|-
| 262
| 234
| 1010.93
| 902.89
|  
|  
| [[138/77]], 52/29, 113/63, [[70/39]]
| [[69/41]], [[101/60]], '''[[32/19]]''', [[123/73]], [[91/54]], [[150/89]], [[204/121]]
|-
|-
| 263
| 235
| 1014.79
| 906.75
| M6
| '''[[27/16]]''', [[184/109]], [[130/77]], [[76/45]], [[49/29]]
|-
| 236
| 910.61
|  
|  
| [[88/49]], '''[[115/64]]''', 124/69, 160/89, 178/99, 196/109
| [[93/55]], [[208/123]], [[115/68]], [[22/13]], [[105/62]]
|-
|-
| 264
| 237
| 1018.64
| 914.46
|  
|  
| [[9/5]], 218/121, 200/111, 182/101, 164/91, 146/81, [[119/66]]
| [[144/85]], [[178/105]], [[39/23]], [[95/56]], [[56/33]]
|-
|-
| 265
| 238
| 1022.5
| 918.32
| A6
| 101/56, [[92/51]], 74/41, 204/113, [[65/36]], 56/31
|-
| 266
| 1026.36
|  
|  
| 132/73, [[208/115]], 123/68, [[38/21]], 105/58
| ''[[202/119]]'', [[124/73]], [[192/113]], [[17/10]], [[148/87]]
|-
|-
| 267
| 239
| 1030.22
| 922.18
|  
|  
| [[154/85]], '''[[29/16]]''', [[136/75]], [[49/27]]
| [[63/37]], '''[[109/64]]''', [[46/27]], [[196/115]], [[75/44]]
|-
|-
| 268
| 240
| 1034.08
| 926.04
|  
|  
| ''216/119'', [[69/38]], 89/49, 198/109, 109/60, [[20/11]]
| ''[[162/95]]'', [[29/17]], [[186/109]], '''[[128/75]]''', [[99/58]], [[70/41]], [[111/65]], [[152/89]], [[41/24]], ''[[200/117]]''
|-
|-
| 269
| 241
| 1037.94
| 929.9
|  
|  
| 202/111, [[91/50]], 162/89, 224/123, [[51/28]], 184/101, 82/45, 113/62
| [[65/38]], [[77/45]], [[89/52]], [[190/111]], [[113/66]]
|-
|-
| 270
| 242
| 1041.8
| 933.76
|  
|  
| 31/17, [[104/57]], 73/40, [[115/63]], [[42/23]], [[95/52]], 148/81, ''170/93''
| [[12/7]], ''[[170/99]]''
|-
|-
| 271
| 243
| 1045.65
| 937.62
| sd7
| [[146/85]], '''[[55/32]]''', [[208/121]], [[98/57]], [[160/93]]
|-
| 244
| 941.47
|  
|  
| '''[[117/64]]''', '''[[64/35]]''', 75/41, [[119/65]]
| ''[[117/68]]'', [[198/115]], [[31/18]], [[174/101]], [[112/65]], [[50/29]], ''[[119/69]]''
|-
|-
| 272
| 245
| 1049.51
| 945.33
|  
|  
| 174/95, 218/119, [[11/6]], 222/121, 200/109
| [[69/40]], [[88/51]], [[126/73]], [[164/95]], [[202/117]], [[19/11]], ''[[140/81]]''
|-
|-
| 273
| 246
| 1053.37
| 949.19
| N7
|  
| ''156/85'', 101/55, [[90/49]], 226/123, 68/37, [[182/99]], 57/31, 160/87
| [[121/70]], '''[[64/37]]''', [[109/63]], [[154/89]], [[45/26]]
|-
|-
| 274
| 247
| 1057.23
| 953.05
|  
|  
| [[46/25]], 208/113, [[81/44]], 116/63, 186/101, [[35/19]], 164/89
| [[26/15]], '''[[111/64]]''', [[196/113]], [[85/49]], [[210/121]]
|-
|-
| 275
| 248
| 1061.09
| 956.91
|  
|  
| [[24/13]], [[85/46]]
| [[33/19]], [[73/42]], [[113/65]], [[40/23]]
|-
|-
| 276
| 249
| 1064.95
| 960.77
|  
|  
| [[220/119]], 37/20, [[224/121]], [[50/27]]
| [[87/50]], [[148/85]], [[101/58]], [[54/31]], [[115/66]], [[176/101]], [[190/109]], [[68/39]]
|-
|-
| 277
| 250
| 1068.81
| 964.63
| sA6
| [[89/51]], [[96/55]], [[110/63]], [[152/87]]
|-
| 251
| 968.48
|  
|  
| [[176/95]], [[63/34]], 202/109, 76/41, 89/48, [[102/55]], 115/62, '''[[128/69]]'''
| [[208/119]], '''[[7/4]]'''
|-
|-
| 278
| 252
| 1072.66
| 972.34
|  
|  
| [[13/7]], 210/113, [[184/99]], '''[[119/64]]'''
| [[198/113]], [[184/105]], [[156/89]], '''[[128/73]]''', [[121/69]], [[114/65]], [[100/57]]
|-
|-
| 279
| 253
| 1076.52
| 976.2
|  
|  
| ''93/50'', [[121/65]], 54/29, [[95/51]], 136/73, 218/117, 41/22
| [[72/41]], [[202/115]], [[65/37]], [[123/70]], [[58/33]], [[109/62]], [[160/91]], [[51/29]], [[95/54]]
|-
|-
| 280
| 254
| 1080.38
| 980.06
|  
|  
| 69/37, 222/119, [[28/15]], 226/121, [[170/91]]
| [[44/25]], [[81/46]], [[192/109]], [[37/21]], [[178/101]], ''[[164/93]]''
|-
|-
| 281
| 255
| 1084.24
| 983.92
| d8
|  
| 230/123, [[144/77]], 101/54, 58/31, 204/109, 73/39
| [[30/17]], '''[[113/64]]''', [[196/111]], [[136/77]]
|-
|-
| 282
| 256
| 1088.1
| 987.78
|  
|  
| 178/95, 208/111, '''[[15/8]]''', [[152/81]]
| [[99/56]], [[168/95]], [[23/13]], [[200/113]], [[154/87]], [[85/48]]
|-
|-
| 283
| 257
| 1091.96
| 991.63
|  
|  
| [[92/49]], 77/41, [[216/115]], 62/33, 109/58, [[220/117]], ''190/101''
| [[62/35]], [[101/57]], [[218/123]], [[39/22]], [[204/115]], [[55/31]]
|-
| 258
| 995.49
| m7
| [[87/49]], '''[[16/9]]'''
|-
|-
| 284
| 259
| 1095.81
| 999.35
|  
|  
| '''[[32/17]]''', 113/60, [[130/69]], [[228/121]], [[49/26]], 164/87
| [[121/68]], [[89/50]], [[162/91]], [[73/41]], [[130/73]], '''[[57/32]]''', [[98/55]], [[180/101]], [[41/23]]
|-
|-
| 285
| 260
| 1099.67
| 1003.21
|  
|  
| [[66/35]], 232/123, 117/62, 168/89, [[17/9]]
| [[66/37]], [[91/51]], [[116/65]], [[216/121]], [[25/14]]
|-
|-
| 286
| 261
| 1103.53
| 1007.07
|  
|  
| 138/73, '''[[121/64]]''', [[104/55]], 87/46, 70/37, 123/65, 176/93
| [[202/113]], [[152/85]], [[93/52]], [[220/123]], [[34/19]], [[111/62]]
|-
|-
| 287
| 262
| 1107.39
| 1010.93
|  
|  
| [[36/19]], 218/115, [[91/48]], 146/77, 55/29, 74/39
| [[138/77]], [[52/29]], [[113/63]], [[70/39]]
|-
|-
| 288
| 263
| 1111.25
| 1014.79
| M7
|  
| 93/49, 226/119, [[19/10]], [[230/121]], 192/101, [[154/81]]
| [[88/49]], '''[[115/64]]''', [[124/69]], [[160/89]], [[178/99]], [[196/109]]
|-
|-
| 289
| 264
| 1115.11
| 1018.64
|  
|  
| 78/41, [[99/52]], [[40/21]]
| [[9/5]], [[218/121]], [[200/111]], [[182/101]], [[164/91]], [[146/81]], [[119/66]]
|-
|-
| 290
| 265
| 1118.97
| 1022.5
| A6
| [[101/56]], [[92/51]], [[74/41]], [[204/113]], [[65/36]], [[56/31]]
|-
| 266
| 1026.36
|  
|  
| ''162/85'', 124/65, 208/109, [[21/11]], 170/89
| [[132/73]], [[208/115]], [[123/68]], [[38/21]], [[105/58]]
|-
|-
| 291
| 267
| 1122.82
| 1030.22
|  
|  
| 216/113, [[65/34]], 174/91, 109/57, [[44/23]], 111/58, 178/93, [[224/117]]
| [[154/85]], '''[[29/16]]''', [[136/75]], [[49/27]]
|-
|-
| 292
| 268
| 1126.68
| 1034.08
|  
|  
| [[182/95]], [[228/119]], [[23/12]], 232/121, 140/73, [[190/99]], ''119/62''
| ''[[216/119]]'', [[69/38]], [[89/49]], [[198/109]], [[109/60]], [[20/11]]
|-
|-
| 293
| 269
| 1130.54
| 1037.94
|
| [[202/111]], [[91/50]], [[162/89]], [[224/123]], [[51/28]], [[184/101]], [[82/45]], [[113/62]]
|-
| 270
| 1041.8
|  
|  
| [[48/25]], [[121/63]], 73/38, [[98/51]], '''[[123/64]]''', 148/77, [[25/13]]
| [[31/17]], [[104/57]], [[73/40]], [[115/63]], [[42/23]], [[95/52]], [[148/81]], ''[[170/93]]''
|-
|-
| 294
| 271
| 1134.4
| 1045.65
|  
|  
| 202/105, [[77/40]], [[52/27]], 210/109
| '''[[117/64]]''', '''[[64/35]]''', [[75/41]], [[119/65]]
|-
|-
| 295
| 272
| 1138.26
| 1049.51
|  
|  
| [[27/14]], 218/113, 164/85, [[110/57]], 222/115, 56/29, 226/117, [[85/44]]
| [[174/95]], [[218/119]], [[11/6]], [[222/121]], [[200/109]]
|-
|-
| 296
| 273
| 1142.12
| 1053.37
| sd8
| N7
| [[230/119]], 29/15, [[234/121]], [[176/91]], 89/46, 238/123, 60/31
| ''[[156/85]]'', [[101/55]], [[90/49]], [[226/123]], [[68/37]], [[182/99]], [[57/31]], [[160/87]]
|-
|-
| 297
| 274
| 1145.98
| 1057.23
|  
|  
| [[184/95]], '''[[31/16]]''', [[126/65]], [[95/49]], '''[[64/33]]''', 196/101
| [[46/25]], [[208/113]], [[81/44]], [[116/63]], [[186/101]], [[35/19]], [[164/89]]
|-
|-
| 298
| 275
| 1149.83
| 1061.09
|  
|  
| [[33/17]], 101/52, [[68/35]], [[35/18]]
| [[24/13]], [[85/46]]
|-
|-
| 299
| 276
| 1153.69
| 1064.95
|  
|  
| 72/37, 109/56, 146/75, 220/113, 37/19, [[224/115]], [[150/77]], 113/58, [[76/39]]
| [[220/119]], [[37/20]], [[224/121]], [[50/27]]
|-
|-
| 300
| 277
| 1157.55
| 1068.81
|  
|  
| 232/119, [[39/20]], 80/41, 121/62, 41/21, ''170/87''
| [[176/95]], [[63/34]], [[202/109]], [[76/41]], [[89/48]], [[102/55]], [[115/62]], '''[[128/69]]'''
|-
|-
| 301
| 278
| 1161.41
| 1072.66
|  
|  
| 174/89, [[88/45]], 178/91, [[45/23]], 182/93
| [[13/7]], [[210/113]], [[184/99]], '''[[119/64]]'''
|-
|-
| 302
| 279
| 1165.27
| 1076.52
|  
|  
| ''186/95'', [[96/49]], [[49/25]], 198/101, [[100/51]], [[51/26]]
| ''[[93/50]]'', [[121/65]], [[54/29]], [[95/51]], [[136/73]], [[218/117]], [[41/22]]
|-
|-
| 303
| 280
| 1169.13
| 1080.38
| sA7
|  
| [[108/55]], 218/111, [[55/28]], 222/113, [[112/57]], 226/115, 57/29, [[230/117]], ''238/121''
| [[69/37]], [[222/119]], [[28/15]], [[226/121]], [[170/91]]
|-
|-
| 304
| 281
| 1172.99
| 1084.24
| d8
| [[230/123]], [[144/77]], [[101/54]], [[58/31]], [[204/109]], [[73/39]]
|-
| 282
| 1088.1
|  
|  
| ''234/119'', 242/123, 124/63, '''[[63/32]]''', '''[[128/65]]''', [[65/33]], [[136/69]]
| [[178/95]], [[208/111]], '''[[15/8]]''', [[152/81]]
|-
|-
| 305
| 283
| 1176.84
| 1091.96
|  
|  
| [[69/35]], 144/73, 73/37, 148/75, [[75/38]], [[152/77]], [[77/39]], [[160/81]]
| [[92/49]], [[77/41]], [[216/115]], [[62/33]], [[109/58]], [[220/117]], ''[[190/101]]''
|-
|-
| 306
| 284
| 1180.7
| 1095.81
|  
|  
| ''81/41'', [[168/85]], 87/44, 176/89, 89/45, [[180/91]], [[91/46]], 184/93, [[95/48]], [[196/99]], ''200/101''
| '''[[32/17]]''', [[113/60]], [[130/69]], [[228/121]], [[49/26]], [[164/87]]
|-
|-
| 307
| 285
| 1184.56
| 1099.67
|  
|  
| ''99/50'', 101/51, [[208/105]], 216/109, 109/55, 220/111, 111/56, 224/113, 113/57, [[228/115]], 115/58, 232/117, [[119/60]], [[240/121]], 123/62
| [[66/35]], [[232/123]], [[117/62]], [[168/89]], [[17/9]]
|-
|-
| 308
| 286
| 1188.42
| 1103.53
|  
|  
| [[138/73]], '''[[121/64]]''', [[104/55]], [[87/46]], [[70/37]], [[123/65]], [[176/93]]
|-
| 287
| 1107.39
|  
|  
| [[36/19]], [[218/115]], [[91/48]], [[146/77]], [[55/29]], [[74/39]]
|-
|-
| 309
| 288
| 1192.28
| 1111.25
| M7
| [[93/49]], [[226/119]], [[19/10]], [[230/121]], [[192/101]], [[154/81]]
|-
| 289
| 1115.11
|
| [[78/41]], [[99/52]], [[40/21]]
|-
| 290
| 1118.97
|  
|  
| ''[[162/85]]'', [[124/65]], [[208/109]], [[21/11]], [[170/89]]
|-
| 291
| 1122.82
|  
|  
| [[216/113]], [[65/34]], [[174/91]], [[109/57]], [[44/23]], [[111/58]], [[178/93]], [[224/117]]
|-
|-
| 310
| 292
| 1196.14
| 1126.68
|  
|  
| [[182/95]], [[228/119]], [[23/12]], [[232/121]], [[140/73]], [[190/99]], ''[[119/62]]''
|-
| 293
| 1130.54
|  
|  
| [[48/25]], [[121/63]], [[73/38]], [[98/51]], '''[[123/64]]''', [[148/77]], [[25/13]]
|-
|-
| 311
| 294
| 1200.0
| 1134.4
| P8
|  
| '''2/1'''
| [[202/105]], [[77/40]], [[52/27]], [[210/109]]
|}
<nowiki>*</nowiki> ''gene'' is the [[interval size measure]] for 311edo, named after [[Gene Ward Smith]]<br>
† odd harmonics and subharmonics are in bold and linked, inconsistent intervals in italics, all [[23-limit]] intervals linked)
 
== Notation ==
=== Sagittal notation ===
[[Sagittal notation]] in textual form.
 
{| class="wikitable center-all"
! Steps
| 1
| 2
| 3
| 4
| 5
| 6
| 7
| 8
| 9
| 10
| 11
| 12
| 13
| 14
| 15
|-
|-
! Symbol
| 295
| &#x7c;(
| 1138.26
| )&#x7c;(
|  
| )~&#x7c;
| [[27/14]], [[218/113]], [[164/85]], [[110/57]], [[222/115]], [[56/29]], [[226/117]], [[85/44]]
| ~&#x7c;(
| ~~&#x7c;
| /&#x7c;
| &#x7c;)
| &#x7c;\
| (&#x7c;
| (&#x7c;(
| ~&#x7c;\
| //&#x7c;
| /&#x7c;)
| /&#x7c;\
| )/&#x7c;\
|-
|-
! Steps
| 296
| 16
| 1142.12
| 17
| sd8
| 18
| [[230/119]], [[29/15]], [[234/121]], [[176/91]], [[89/46]], [[238/123]], [[60/31]]
| 19
|-
| 20
| 297
| 21
| 1145.98
| 22
|  
| 23
| [[184/95]], '''[[31/16]]''', [[126/65]], [[95/49]], '''[[64/33]]''', [[196/101]]
| 24
| 25
| 26
| 27
| 28
| 29
| 30
|-
|-
! Symbol
| 298
| (&#x7c;)
| 1149.83
| (&#x7c;\
|  
| )&#x7c;&#x7c;(
| [[33/17]], [[101/52]], [[68/35]], [[35/18]]
| )~&#x7c;&#x7c;
|-
| ~&#x7c;&#x7c;(
| 299
| )&#x7c;&#x7c;~
| 1153.69
| /&#x7c;&#x7c;
|  
| &#x7c;&#x7c;)
| [[72/37]], [[109/56]], [[146/75]], [[220/113]], [[37/19]], [[224/115]], [[150/77]], [[113/58]], [[76/39]]
| &#x7c;&#x7c;\
| ~&#x7c;&#x7c;)
| (&#x7c;&#x7c;(
| ~&#x7c;&#x7c;\
| //&#x7c;&#x7c;
| /&#x7c;&#x7c;)
| /&#x7c;&#x7c;\
|}
 
=== Syntonic-rastmic subchroma notation ===
[[Syntonic-rastmic subchroma notation]] in textual form.
 
{| class="wikitable center-all"
! Steps
| 1
| 2
| 3
| 4
| 5
| 6
| 7
| 8
| 9
| 10
| 11
| 12
| 13
| 14
| 15
|-
|-
! Symbol
| 300
| >
| 1157.55
| /
|  
| />
| [[232/119]], [[39/20]], [[80/41]], [[121/62]], [[41/21]], ''[[170/87]]''
| ↑\
|-
| ↑<
| 301
| ↑
| 1161.41
| ↑>
|  
| ↑/
| [[174/89]], [[88/45]], [[178/91]], [[45/23]], [[182/93]]
| ↑/>
| ↑↑\
| ↑↑<
| ↑↑
| ↑↑>
| t<
| t
|-
|-
! Steps
| 302
| 16
| 1165.27
| 17
|  
| 18
| ''[[186/95]]'', [[96/49]], [[49/25]], [[198/101]], [[100/51]], [[51/26]]
| 19
|-
| 20
| 303
| 21
| 1169.13
| 22
| sA7
| 23
| [[108/55]], [[218/111]], [[55/28]], [[222/113]], [[112/57]], [[226/115]], [[57/29]], [[230/117]], ''[[238/121]]''
| 24
|-
| 25
| 304
| 26
| 1172.99
| 27
|  
| 28
| ''[[234/119]]'', [[242/123]], [[124/63]], '''[[63/32]]''', '''[[128/65]]''', [[65/33]], [[136/69]]
| 29
| 30
|-
|-
! Symbol
| 305
| t>
| 1176.84
| #↓↓<
|
| #↓↓
| [[69/35]], [[144/73]], [[73/37]], [[148/75]], [[75/38]], [[152/77]], [[77/39]], [[160/81]]
| #↓↓>
|-
| #↓↓/
| 306
| #↓\<
| 1180.7
| #↓\
|  
| #↓<
| ''[[81/41]]'', [[168/85]], [[87/44]], [[176/89]], [[89/45]], [[180/91]], [[91/46]], [[184/93]], [[95/48]], [[196/99]], ''[[200/101]]''
| #↓
|-
| #↓>
| 307
| #↓/
| 1184.56
| #\<
|  
| #\
| ''[[99/50]]'', [[101/51]], [[208/105]], [[216/109]], [[109/55]], [[220/111]], [[111/56]], [[224/113]], [[113/57]], [[228/115]], [[115/58]], [[232/117]], [[119/60]], [[240/121]], [[123/62]]
| #<
|-
| #
| 308
|}
| 1188.42
 
|  
=== Ups and downs notation ===
|  
One possible notation using [[ups and downs notation]] uses ^ and v (ups and down) to stand for 5 edosteps and / and \ (lifts and drops) to stand for 1 edostep. Double is abbreviated as "dub-".
|-
 
| 309
0\311 = P1 = perfect unison
| 1192.28
 
|
1\311 = /1 = lift unison
|
|-
| 310
| 1196.14
|
|
|-
| 311
| 1200.0
| P8
| '''[[2/1]]'''
|}
<references group="note" />


2\311 = //1 = dublift unison
== Regular temperament properties ==
 
{| class="wikitable center-4 center-5 center-6"
3\311 = ^\\1 = up-dubdrop unison
|-
 
! rowspan="2" | [[Subgroup]]
4\311 = ^\1 = updrop unison
! rowspan="2" | [[Comma list]]
 
! rowspan="2" | [[Mapping]]
5\311 = ^1 = up unison
! rowspan="2" | Optimal<br>8ve stretch (¢)
 
! colspan="2" | Tuning error
6\311 = ^/1 = uplift unison
|-
 
! [[TE error|Absolute]] (¢)
7\311 = ^//1 = up-dublift unison
! [[TE simple badness|Relative]] (%)
 
|-
8\311 = ^^\\1 = dup-dubdrop unison
| 2.3
 
| {{monzo| 493 -311 }}
9\311 = ^^\1 = dupdrop unison
| {{mapping| 311 493 }}
 
| −0.0933
10\311 = ^^1 = dup unison
| 0.0933
 
| 2.42
11\311 = ^^/1 = duplift unison = vv\\m2 = dud-dubdropminor second
|-
 
| 2.3.5
12\311 = ^^//1 = dup-dublift unison = vv\m2 = duddropminor second
| 1600000/1594323, {{monzo| -59 5 22 }}
 
| {{mapping| 311 493 722 }}
13\311 = vvm2 = dudminor second
| +0.0040
 
| 0.1573
14\311 = vv/m2 = dudliftminor second
| 4.08
 
15\311 = vv//m2 = dud-dubliftminor second
 
16\311 = v\\m2 = down-dubdropminor second
 
17\311 = v\m2 = downdropminor second
 
18\311 = vm2 = downminor second
 
19\311 = v/m2 = downliftminor second
 
20\311 = v//m2 = down-dubliftminor second
 
21\311 = \\m2 = dubdropminor second
 
22\311 = \m2 = dropminor second
 
23\311 = m2 = minor second
 
24\311 = /m2 = liftminor second
 
25\311 = //m2 = dubliftminor second
 
26\311 = ^\\m2 = up-dubdropminor second
 
27\311 = ^\m2 = updropminor second
 
28\311 = ^m2 = upminor second
 
29\311 = ^/m2 = upliftminor second
 
30\311 = ^//m2 = up-dubliftminor second
 
31\311 = ^^\\m2 = dup-dubdropminor second = v\\~2 = down-dubdropmid second
 
32\311 = ^^\m2 = dupdropminor second  = v\~2 = downdropmid second
 
33\311 = ^^m2 = dupminor second  = v~2 = downmid second
 
34\311 = ^^/m2 = dupliftminor second  = v/~2 = downliftmid second
 
35\311 = ^^//m2 = dup-dubliftminor second  = v//~2 = down-dubliftmid second
 
36\311 = \\~2 = dubdropmid second
 
37\311 = \~2 = dropmid second
 
38\311 = ~2 = mid second
 
etc.
 
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
|-
! [[TE error|Absolute]] (¢)
| 2.3.5.7
! [[TE simple badness|Relative]] (%)
|-
| 2.3
| {{monzo| 493 -311 }}
| {{mapping| 311 493 }}
| -0.0933
| 0.0933
| 2.42
|-
| 2.3.5
| [[Amity comma|1600000/1594323]], {{monzo| -59 5 22 }}
| {{mapping| 311 493 722 }}
| +0.0040
| 0.1573
| 4.08
|-
| 2.3.5.7
| 2401/2400, 65625/65536, 1600000/1594323
| 2401/2400, 65625/65536, 1600000/1594323
| {{mapping| 311 493 722 873 }}
| {{mapping| 311 493 722 873 }}
Line 1,876: Line 1,842:
| 625/624, 1575/1573, 2080/2079, 2200/2197, 2401/2400
| 625/624, 1575/1573, 2080/2079, 2200/2197, 2401/2400
| {{mapping| 311 493 722 873 1076 1151 }}
| {{mapping| 311 493 722 873 1076 1151 }}
| -0.0280
| −0.0280
| 0.1472
| 0.1472
| 3.81
| 3.81
Line 1,897: Line 1,863:
| 595/594, 625/624, 760/759, 833/832, 875/874, 969/968, 1105/1104, 1156/1155
| 595/594, 625/624, 760/759, 833/832, 875/874, 969/968, 1105/1104, 1156/1155
| {{mapping| 311 493 722 873 1076 1151 1271 1321 1407 }}
| {{mapping| 311 493 722 873 1076 1151 1271 1321 1407 }}
| -0.0033
| −0.0033
| 0.1496
| 0.1496
| 3.88
| 3.88
|}
|}
* 311et has lower relative errors than any previous equal temperaments in the 23-limit and beyond. In the 23-limit it beats [[282edo|282]] and is bettered by [[373edo|373g]] in terms of absolute error, and by [[581edo|581]] in terms of relative error.  
* 311et has lower relative errors than any previous equal temperaments in the 23-limit and beyond. In the 23-limit it beats [[282edo|282]] and is bettered by [[373edo|373g]] in terms of absolute error, and by [[581edo|581]] in terms of relative error.  
* 311et is also notable in the 17- and 19-limit, with lower absolute errors than any previous equal temperaments, beating [[270edo|270]] in both subgroups and is bettered by [[354edo|354]] in the 17-limit, and by [[400edo|400]] in the 19-limit.  
* 311et is also notable in the 17- and 19-limit, with lower absolute errors than any previous equal temperaments, beating [[270edo|270]] in both subgroups and is bettered by [[354edo|354]] in the 17-limit, and by [[400edo|400]] in the 19-limit.  
Line 1,906: Line 1,873:
=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
! Periods<br>per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br>Ratio*
! Associated<br>ratio*
! Temperaments
! Temperaments
|-
|-
Line 1,934: Line 1,902:
| 20\311
| 20\311
| 77.17
| 77.17
| 256/245, 23/22
| 23/22
| [[Tertiaseptal]] / tertiaseptia
| [[Tertiaseptal]] / tertiaseptia
|-
|-
Line 1,942: Line 1,910:
| 21/20
| 21/20
| [[Amicable]] / amical / amorous
| [[Amicable]] / amical / amorous
|-
| 1
| 26\311
| 100.32
| 675/637
| [[Heptacot]]
|-
|-
| 1
| 1
Line 1,999: Line 1,973:
| 1
| 1
| 142\311
| 142\311
| 547.92
| 547.92
| 48/35
| 48/35
| [[Calamity]]
| [[Calamity]]
|-
|-
| 1
| 1
| 143\311
| 143\311
| 551.77
| 551.77
| 11/8
| 11/8
| [[Emkay]]
| [[Emkay]]
|-
|-
| 1
| 1
| 155\311
| 155\311
| 598.08
| 598.08
| 572/405
| 572/405
| [[Vydubychi]]
| [[Vydubychi]]
|}
|}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
 
 
== Detemperaments ==
=== Commas ===
=== Ringer scales ===
Some 41-limit [[comma]]s it tempers out are [[595/594]], [[625/624]], 697/696, 703/702, 714/713, 760/759, [[784/783]], 820/819, [[833/832]], 875/874, 900/899, 925/924, 931/930, 962/961, 969/968, 1000/999, 1015/1014, 1024/1023, [[1025/1024]], 1036/1035, 1045/1044, 1054/1053, 1105/1104, 1148/1147, [[1156/1155]], 1184/1183, 1189/1188, 1190/1189, 1197/1196, 1210/1209, [[1216/1215]], [[1225/1224]], [[1275/1274]], 1288/1287, 1312/1311, 1332/1331, 1353/1352, 1365/1364, 1369/1368, 1444/1443, [[1445/1444]], 1450/1449, 1480/1479, 1496/1495, 1519/1518, 1520/1519, 1540/1539, 1596/1595, 1600/1599, 1625/1624, 1665/1664, 1666/1665, 1681/1680, 1683/1682, 1702/1701, [[1729/1728]], 1768/1767, 1805/1804, 1860/1859, 1886/1885, 1887/1886, 1925/1924, 2002/2001, 2016/2015, 2025/2024, [[2058/2057]], [[2080/2079]], 2091/2090, 2109/2108, 2146/2145, 2176/2175, 2185/2184, 2205/2204, 2233/2232, 2255/2254, 2295/2294, 2296/2295, 2300/2299, [[2401/2400]], [[2431/2430]], [[2432/2431]], 2465/2464, [[2500/2499]], 2542/2541, 2553/2552, 2584/2583, [[2601/2600]], 2625/2624, 2640/2639, 2646/2645, 2665/2664, 2737/2736, 2738/2737, 2755/2754, 2784/2783, 2850/2849, 2926/2925, and 2945/2944.
There are two known [[Ringer scale]]s based on 311edo. Both consistently map the complete mode 234 of the harmonic series using non-[[patent val]]s of 311edo, which is believed to be the highest possible complete harmonic series mode mapped by a 311-form.
 
== Scales ==
=== MOS scales ===
''See: [[User:BudjarnLambeth/311edo MOS scales]].''
 
=== Mode 16 of the harmonic series ===
311edo accurately approximates the mode 16 of [[harmonic series]].
 
{| class="wikitable center-all"
|-
! Overtones
! 16
! 17
! 18
! 19
! 20
! 21
! 22
! 23
! 24
|-
! JI ratios
| 1/1
| 17/16
| 9/8
| 19/16
| 5/4
| 21/16
| 11/8
| 23/16
| 3/2
|-
! …in cents
| 0
| 104.955
| 203.910
| 297.513
| 386.314
| 470.781
| 551.318
| 628.274
| 701.955
|-
! Degrees in 311edo
| 0
| 27
| 53
| 77
| 100
| 122
| 143
| 163
| 182
|-
! …in cents
| 0
| 104.180
| 204.502
| 297.106
| 385.852
| 470.740
| 551.768
| 628.939
| 702.251
|}
 
{| class="wikitable center-all"
|-
! Overtones
! 25
! 26
! 27
! 28
! 29
! 30
! 31
! 32
|-
! JI ratios
| 25/16
| 13/8
| 27/16
| 7/4
| 29/16
| 15/8
| 31/16
| 2/1
|-
! …in cents
| 772.627
| 840.528
| 905.865
| 968.826
| 1029.577
| 1088.269
| 1145.036
| 1200
|-
! Degrees in 311edo
| 200
| 218
| 235
| 251
| 267
| 282
| 297
| 311
|-
! …in cents
| 771.704
| 841.158
| 906.752
| 968.489
| 1030.23
| 1088.1
| 1145.98
| 1200
|}
 
The scale in adjacent steps is 27, 26, 24, 23, 22, 21, 20, 19, 18, 18, 17, 16, 16, 15, 15, 14. Three interval pairs are conflated: {{nowrap|25/24 ~ 26/25|28/27 ~ 29/28}}, and {{nowrap|30/29 ~ 31/30}}.
 
== Detemperaments ==
The most otonally simple way of detempering 311edo is a [[Ringer scale]]. See [[311edo/Ringer 311]] for details.
 
== Music ==
; [[Eliora]]
* [https://www.youtube.com/watch?v=GYzCOpwfTrg ''Etude in C'', Op. 1, No. 1] (2022)
 
; [[Francium]]
* "From the Ground" from ''Scoop'' (2024) – [https://open.spotify.com/track/1f6bIxfJ2BOdNaYomqOMYs Spotify] | [https://francium223.bandcamp.com/track/from-the-ground Bandcamp] | [https://www.youtube.com/watch?v=7Hg1A7F1-Wc YouTube]
* "Translator Server Error" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/7h7rrd7iQCbrzYvstSzla0 Spotify] | [https://francium223.bandcamp.com/track/translator-server-error Bandcamp] | [https://www.youtube.com/watch?v=XD3WoUVgc_M YouTube]
* "Vermin Supreme" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/7CfDZrVpfvXJqlMgdufcc7 Spotify] | [https://francium223.bandcamp.com/track/vermin-supreme Bandcamp] | [https://www.youtube.com/watch?v=62uK_ykpmh4 YouTube]
* "Love Is Just a Flying Pig Going to a Funeral." from ''Random Sentences'' (2025) – [https://open.spotify.com/track/12YjJv0nmd8URmNGQZJrqu Spotify] | [https://francium223.bandcamp.com/track/love-is-just-a-flying-pig-going-to-a-funeral Bandcamp] | [https://www.youtube.com/watch?v=ty-W_UIBE5c YouTube]
* "kumturd" from ''wiloliquy'' (2025) – [https://open.spotify.com/track/6Oh0vTTepdUOM2uJORj5dM Spotify] | [https://francium223.bandcamp.com/track/kumturd Bandcamp] | [https://www.youtube.com/watch?v=9evKRneZV0g YouTube]
* "Is That An Albino Duck?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/5PJcYEi4lCwisz9XZUtLRR Spotify] | [https://francium223.bandcamp.com/track/is-that-an-albino-duck Bandcamp] | [https://www.youtube.com/watch?v=-kH4PNezV1M YouTube]
* "Don't Worry About Me" from ''Don't'' (2025) – [https://open.spotify.com/track/50RsAwtgZczThSqV6mjmsu Spotify] | [https://francium223.bandcamp.com/track/dont-worry-about-me Bandcamp] | [https://www.youtube.com/watch?v=7euMpGAcI14 YouTube]
 
; [[Tee Teck Wei]]
* [https://www.youtube.com/watch?v=HqShkc6Fl30 ''Baoyu（𨰻𨰻）''] (2023) &ndash; for electric organs tuned in 311edo


==== Ringer 311[+61] ====
== External links ==
{{col-begin}}
* [http://tonalsoft.com/enc/g/gene.aspx gene, 311-edo] on [[Tonalsoft Encyclopedia]]
{{col-break}}
Scale as chord:


936:940:941:943:944:948:950:952:954:956:958:960:962:<br/>
== References ==
964:966:968:970:972:974:976:980:982:984:986:988:990:<br/>
992:994:996:1000:1002:1004:1006:1008:1010:1012:1016:1018:1020:<br/>
1022:1024:1026:1028:1030:1032:1036:1038:1040:1042:1044:1048:1050:<br/>
1052:1054:1056:1060:1063:1064:1066:1068:1070:1072:1076:1078:1080:<br/>
1082:1084:1088:1090:1092:1096:1097:1100:1102:1104:1108:1110:1112:<br/>
1114:1116:1120:1122:1124:1128:1130:1132:1134:1136:1140:1142:1144:<br/>
1148:1150:1152:1156:1158:1160:1162:1164:1168:1170:1172:1176:1178:<br/>
1180:1184:1186:1188:1192:1194:1196:1200:1202:1204:1208:1210:1212:<br/>
1216:1218:1220:1224:1226:1228:1232:1234:1236:1240:1244:1246:1248:<br/>
1252:1254:1256:1260:1264:1266:1268:1272:1274:1276:1280:1282:1284:<br/>
1288:1292:1294:1296:1300:1304:1306:1308:1312:1316:1318:1320:1324:<br/>
1326:1328:1332:1336:1338:1340:1344:1348:1350:1352:1356:1360:1362:<br/>
1364:1368:1372:1374:1376:1380:1384:1388:1390:1392:1396:1400:1402:<br/>
1404:1408:1412:1414:1416:1420:1424:1428:1432:1434:1436:1440:1444:<br/>
1448:1450:1452:1456:1460:1462:1464:1468:1472:1476:1480:1484:1486:<br/>
1488:1492:1496:1500:1504:1506:1508:1512:1516:1520:1524:1526:1528:<br/>
1532:1536:1540:1544:1546:1548:1552:1556:1560:1564:1568:1572:1576:<br/>
1580:1582:1584:1588:1592:1596:1600:1604:1606:1608:1612:1616:1620:<br/>
1624:1628:1632:1636:1640:1644:1646:1648:1652:1656:1660:1664:1668:<br/>
1672:1676:1680:1684:1688:1692:1696:1700:1702:1704:1708:1712:1716:<br/>
1720:1724:1728:1732:1736:1740:1744:1748:1752:1756:1760:1764:1768:<br/>
1772:1776:1780:1784:1788:1792:1796:1800:1804:1808:1812:1816:1820:<br/>
1824:1828:1832:1836:1840:1844:1848:1852:1856:1860:1864:1868:1872
{{col-break}}
Reduced to mode 234:
 
234:235:<b>941/4</b>:<b>943/4</b>:236:237:<b>475/2</b>:238:<b>477/2</b>:239:<b>479/2</b>:240:<b>481/2</b>:<br/>241:<b>483/2</b>:242:<b>485/2</b>:243:<b>487/2</b>:244:245:<b>491/2</b>:246:<b>493/2</b>:247:<b>495/2</b>:<br/>248:<b>497/2</b>:249:250:<b>501/2</b>:251:<b>503/2</b>:252:<b>505/2</b>:253:254:<b>509/2</b>:255:<br/><b>511/2</b>:256:<b>513/2</b>:257:<b>515/2</b>:258:259:<b>519/2</b>:260:<b>521/2</b>:261:262:<b>525/2</b>:<br/>263:<b>527/2</b>:264:265:<b>1063/4</b>:266:<b>533/2</b>:267:<b>535/2</b>:268:269:<b>539/2</b>:270:<br/><b>541/2</b>:271:272:<b>545/2</b>:273:274:<b>1097/4</b>:275:<b>551/2</b>:276:277:<b>555/2</b>:278:<br/><b>557/2</b>:279:280:<b>561/2</b>:281:282:<b>565/2</b>:283:<b>567/2</b>:284:285:<b>571/2</b>:286:<br/>287:<b>575/2</b>:288:289:<b>579/2</b>:290:<b>581/2</b>:291:292:<b>585/2</b>:293:294:<b>589/2</b>:<br/>295:296:<b>593/2</b>:297:298:<b>597/2</b>:299:300:<b>601/2</b>:301:302:<b>605/2</b>:303:<br/>304:<b>609/2</b>:305:306:<b>613/2</b>:307:308:<b>617/2</b>:309:310:311:<b>623/2</b>:312:<br/>313:<b>627/2</b>:314:315:316:<b>633/2</b>:317:318:<b>637/2</b>:319:320:<b>641/2</b>:321:<br/>322:323:<b>647/2</b>:324:325:326:<b>653/2</b>:327:328:329:<b>659/2</b>:330:331:<br/><b>663/2</b>:332:333:334:<b>669/2</b>:335:336:337:<b>675/2</b>:338:339:340:<b>681/2</b>:<br/>341:342:343:<b>687/2</b>:344:345:346:347:<b>695/2</b>:348:349:350:<b>701/2</b>:<br/>351:352:353:<b>707/2</b>:354:355:356:357:358:<b>717/2</b>:359:360:361:<br/>362:<b>725/2</b>:363:364:365:<b>731/2</b>:366:367:368:369:370:371:<b>743/2</b>:<br/>372:373:374:375:376:<b>753/2</b>:377:378:379:380:381:<b>763/2</b>:382:<br/>383:384:385:386:<b>773/2</b>:387:388:389:390:391:392:393:394:<br/>395:<b>791/2</b>:396:397:398:399:400:401:<b>803/2</b>:402:403:404:405:<br/>406:407:408:409:410:411:<b>823/2</b>:412:413:414:415:416:417:<br/>418:419:420:421:422:423:424:425:<b>851/2</b>:426:427:428:429:<br/>430:431:432:433:434:435:436:437:438:439:440:441:442:<br/>443:444:445:446:447:448:449:450:451:452:453:454:455:<br/>456:457:458:459:460:461:462:463:464:465:466:467:468
{{col-end}}
 
==== Ringer 311[+61, &minus;67] ====
{{col-begin}}
{{col-break}}
Scale as chord:
 
936:940:941:943:944:948:950:952:954:956:958:960:962:<br/>964:966:968:970:972:974:976:980:982:984:986:988:990:<br/>992:994:996:1000:1002:1004:1006:1008:1010:1012:1016:1018:1020:<br/>1022:1024:1026:1028:1030:1032:1036:1038:1040:1042:1044:1048:1050:<br/>1052:1054:1056:1060:1061:1064:1066:1068:1072:1074:1076:1078:1080:<br/>1082:1084:1088:1090:1092:1096:1097:1100:1102:1104:1108:1110:1112:<br/>1114:1116:1120:1122:1124:1128:1130:1132:1134:1136:1140:1142:1144:<br/>1148:1150:1152:1156:1158:1160:1162:1164:1168:1170:1172:1176:1178:<br/>1180:1184:1186:1188:1192:1194:1196:1200:1202:1204:1208:1210:1212:<br/>1216:1218:1220:1224:1226:1228:1232:1234:1236:1240:1244:1246:1248:<br/>1252:1254:1256:1260:1264:1266:1268:1272:1274:1276:1280:1282:1284:<br/>1288:1292:1294:1296:1300:1304:1306:1308:1312:1316:1318:1320:1324:<br/>1326:1328:1332:1336:1340:1341:1344:1348:1350:1352:1356:1360:1362:<br/>1364:1368:1372:1374:1376:1380:1384:1388:1390:1392:1396:1400:1402:<br/>1404:1408:1412:1414:1416:1420:1424:1428:1432:1434:1436:1440:1444:<br/>1448:1450:1452:1456:1460:1462:1464:1468:1472:1476:1480:1484:1486:<br/>1488:1492:1496:1500:1504:1506:1508:1512:1516:1520:1524:1526:1528:<br/>1532:1536:1540:1544:1546:1548:1552:1556:1560:1564:1568:1572:1576:<br/>1580:1582:1584:1588:1592:1596:1600:1604:1608:1610:1612:1616:1620:<br/>1624:1628:1632:1636:1640:1644:1646:1648:1652:1656:1660:1664:1668:<br/>1672:1676:1680:1684:1688:1692:1696:1700:1702:1704:1708:1712:1716:<br/>1720:1724:1728:1732:1736:1740:1744:1748:1752:1756:1760:1764:1768:<br/>1772:1776:1780:1784:1788:1792:1796:1800:1804:1808:1812:1816:1820:<br/>1824:1828:1832:1836:1840:1844:1848:1852:1856:1860:1864:1868:1872
{{col-break}}
Reduced to mode 234:
 
234:235:<b>941/4</b>:<b>943/4</b>:236:237:<b>475/2</b>:238:<b>477/2</b>:239:<b>479/2</b>:240:<b>481/2</b>:<br/>241:<b>483/2</b>:242:<b>485/2</b>:243:<b>487/2</b>:244:245:<b>491/2</b>:246:<b>493/2</b>:247:<b>495/2</b>:<br/>248:<b>497/2</b>:249:250:<b>501/2</b>:251:<b>503/2</b>:252:<b>505/2</b>:253:254:<b>509/2</b>:255:<br/><b>511/2</b>:256:<b>513/2</b>:257:<b>515/2</b>:258:259:<b>519/2</b>:260:<b>521/2</b>:261:262:<b>525/2</b>:<br/>263:<b>527/2</b>:264:265:<b>1061/4</b>:266:<b>533/2</b>:267:268:<b>537/2</b>:269:<b>539/2</b>:270:<br/><b>541/2</b>:271:272:<b>545/2</b>:273:274:<b>1097/4</b>:275:<b>551/2</b>:276:277:<b>555/2</b>:278:<br/><b>557/2</b>:279:280:<b>561/2</b>:281:282:<b>565/2</b>:283:<b>567/2</b>:284:285:<b>571/2</b>:286:<br/>287:<b>575/2</b>:288:289:<b>579/2</b>:290:<b>581/2</b>:291:292:<b>585/2</b>:293:294:<b>589/2</b>:<br/>295:296:<b>593/2</b>:297:298:<b>597/2</b>:299:300:<b>601/2</b>:301:302:<b>605/2</b>:303:<br/>304:<b>609/2</b>:305:306:<b>613/2</b>:307:308:<b>617/2</b>:309:310:311:<b>623/2</b>:312:<br/>313:<b>627/2</b>:314:315:316:<b>633/2</b>:317:318:<b>637/2</b>:319:320:<b>641/2</b>:321:<br/>322:323:<b>647/2</b>:324:325:326:<b>653/2</b>:327:328:329:<b>659/2</b>:330:331:<br/><b>663/2</b>:332:333:334:335:<b>1341/4</b>:336:337:<b>675/2</b>:338:339:340:<b>681/2</b>:<br/>341:342:343:<b>687/2</b>:344:345:346:347:<b>695/2</b>:348:349:350:<b>701/2</b>:<br/>351:352:353:<b>707/2</b>:354:355:356:357:358:<b>717/2</b>:359:360:361:<br/>362:<b>725/2</b>:363:364:365:<b>731/2</b>:366:367:368:369:370:371:<b>743/2</b>:<br/>372:373:374:375:376:<b>753/2</b>:377:378:379:380:381:<b>763/2</b>:382:<br/>383:384:385:386:<b>773/2</b>:387:388:389:390:391:392:393:394:<br/>395:<b>791/2</b>:396:397:398:399:400:401:402:<b>805/2</b>:403:404:405:<br/>406:407:408:409:410:411:<b>823/2</b>:412:413:414:415:416:417:<br/>418:419:420:421:422:423:424:425:<b>851/2</b>:426:427:428:429:<br/>430:431:432:433:434:435:436:437:438:439:440:441:442:<br/>443:444:445:446:447:448:449:450:451:452:453:454:455:<br/>456:457:458:459:460:461:462:463:464:465:466:467:468:
{{col-end}}
 
== Music ==
; [[Eliora]]
* [https://www.youtube.com/watch?v=GYzCOpwfTrg ''Etude in C'', Op. 1, No. 1] (2022)
; [[Tee Teck Wei]]
* [https://www.youtube.com/watch?v=HqShkc6Fl30 ''Baoyu（𨰻𨰻）''] (2023) – for electric organs tuned in 311edo


[[Category:Listen]]
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/311edo"