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== 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 (625/624)]], 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{{c}}. 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]]).  


It also maintains [[relative interval error]]s of [[minimal consistent EDOs|no greater than 25%]] on all of the first 42 harmonics of the harmonic series, and is the smallest EDO to maintain less than 25% relative error on the first 32 harmonics. The next edo with less than 25% error on the first 32 harmonics is [[16808edo|16808]], the smallest 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]].


It is still very accurate in the lower limits. Although it does not do as well as [[270edo]] in the 13-limit, it makes for an interesting comparison. 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.  
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.  


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.  
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.  


It 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.  
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|prec=3|columns=12}}
{{Harmonics in equal|311|prec=3|columns=13}}
{{Harmonics in equal|311|columns=12|start=13|prec=3|collapsed=true|title=Approximation of prime harmonics in 311edo (continued)}}
{{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 by [[Joseph Monzo]] in 2007 after [[Gene Ward Smith]]<ref>[http://tonalsoft.com/enc/g/gene.aspx Tonalsoft Encyclopedia | ''gene, 311-edo'']</ref>.
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 [[consistent]]ly, 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 ===
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 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.
<div style="text-align: center;">
 
{| class="wikitable"
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.
|-
 
! colspan="2" | '''+ edosteps'''
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.
! 1
 
! 2
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.
! 3
 
! 4
=== Interval table ===
! 5
{| class="mw-collapsible mw-collapsed wikitable center-1 center-2 center-3"
! 6
|+ style="font-size: 105%; white-space: nowrap;" | Table of 311edo intervals
! 7
! 8
! 9
! 10
! 11
! 12
! 13
! 14
! 15
! 16
! 17
! 18
! 19
! 20
! 21
! 22
! 23
! 24
! 25
! 26
! 27
! 28
! 29
! 30
|-
|-
! #
| rowspan="3" | Symbol
! Cents
| SZ
! Marks
| rowspan="3" | <big>{{sagittal||(}}</big>
! Approximate Intervals<ref group="note">Odd harmonics and subharmonics are in bold and linked, inconsistent intervals in italics, all [[23-limit]] intervals linked)</ref>
| 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>
|-
|-
| 0
| Evo
| 0.0
| rowspan="2" | <big>{{Sagittal|)/|\}}</big>
| P1
| <small>{{sagittal|\!/}}{{sagittal|#}}</small>
| '''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]]''
| <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>
|-
| Revo
| <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>
| <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
| 1
| 3.85
|
| ''[[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]]''
|-
| 2
| 2
| 7.71
|
| ''[[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''
|-
| 3
| 3
| 11.57
|
| [[169/168|S13 = 169/168]], [[144/143|S12 = 144/143]], 171/170
|-
| 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
|
| ''87/85'', 42/41, 124/121, 41/40, [[40/39]], 119/116
|-
| 12
| 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
| 17
|
| [[88/85]], 117/113, 29/28, 115/111, [[57/55]], 85/82, 113/109, [[28/27]]
|-
| 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]]
| #↓<
| #↓
| #↓>
| #↓/
| #\<
| #\
| #<
| #
|}
</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
|-
|-
| 36
! #
| 138.9
! Cents
! Marks
! Approximate Intervals<ref group="note">Odd harmonics and subharmonics are in '''bold''', inconsistent intervals in ''italics''</ref>
|-
| 0
| 0.0
| P1
| '''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]]''
|-
| 1
| 3.85
|  
|  
| [[92/85]], [[13/12]]
| ''[[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]]''
|-
|-
| 37
| 2
| 142.76
| 7.71
|  
|  
| 89/82, [[38/35]], 101/93, 63/58, [[88/81]], 113/104, [[25/23]]
| ''[[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]]''
|-
|-
| 38
| 3
| 146.62
| 11.57
| N2
| 87/80, 62/57, [[99/91]], 37/34, 123/113, [[49/45]], 110/101, ''85/78''
|-
| 39
| 150.48
|  
|  
| 109/100, 121/111, [[12/11]], 119/109, 95/87
| [[169/168|S13 = 169/168]], [[144/143|S12 = 144/143]], [[171/170]]
|-
|-
| 40
| 4
| 154.34
| 15.43
|  
|  
| [[130/119]], 82/75, '''[[35/32]]''', '''[[128/117]]'''
| [[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]]''
|-
|-
| 41
| 5
| 158.19
| 19.29
|  
|  
| ''93/85'', 81/74, [[104/95]], [[23/21]], [[126/115]], 80/73, [[57/52]], 34/31
| ''[[101/100]]'', [[99/98]], [[96/95]], [[93/92]], [[92/91]], [[91/90]], [[90/89]], [[89/88]], [[88/87]], [[85/84]], ''[[82/81]]''
|-
|-
| 42
| 6
| 162.05
| 23.15
|  
|  
| 124/113, 45/41, 101/92, [[56/51]], 123/112, 89/81, [[100/91]], 111/101
| [[81/80]], [[78/77]], [[77/76]], [[76/75]], [[75/74]], [[74/73]], [[73/72]], [[70/69]]
|-
|-
| 43
| 7
| 165.91
| 27.0
|  
|  
| [[11/10]], 120/109, 109/99, 98/89, [[76/69]], ''119/108''
| [[69/68]], [[66/65]], '''[[65/64]]''', '''[[64/63]]''', [[63/62]], [[123/121]], ''[[119/117]]''
|-
|-
| 44
| 8
| 169.77
| 30.86
| sd2
| ''[[121/119]]'', [[117/115]], [[58/57]], [[115/113]], [[57/56]], [[113/111]], [[56/55]], [[111/109]], [[55/54]]
|-
| 9
| 34.72
|  
|  
| [[54/49]], [[75/68]], '''[[32/29]]''', [[85/77]]
| [[52/51]], [[51/50]], [[101/99]], [[50/49]], [[49/48]], ''[[95/93]]''
|-
|-
| 45
| 10
| 173.63
| 38.58
|  
|  
| 116/105, [[21/19]], 136/123, [[115/104]], 73/66
| [[93/91]], [[46/45]], [[91/89]], [[45/44]], [[89/87]]
|-
|-
| 46
| 11
| 177.49
| 42.44
| d3
|  
| 31/28, [[72/65]], 113/102, 41/37, [[51/46]], 112/101
| ''[[87/85]]'', [[42/41]], [[124/121]], [[41/40]], [[40/39]], [[119/116]]
|-
|-
| 47
| 12
| 181.35
| 46.3
|  
|  
| [[132/119]], 81/73, 91/82, 101/91, 111/100, 121/109, [[10/9]]
| [[39/38]], [[116/113]], [[77/75]], [[115/112]], [[38/37]], [[113/110]], [[75/73]], [[112/109]], [[37/36]]
|-
|-
| 48
| 13
| 185.2
| 50.16
|  
|  
| 109/98, 99/89, 89/80, 69/62, '''[[128/115]]''', [[49/44]]
| [[36/35]], [[35/34]], [[104/101]], [[34/33]]
|-
|-
| 49
| 14
| 189.06
| 54.01
|  
|  
| [[39/35]], 126/113, 29/26, [[77/69]]
| [[101/98]], '''[[33/32]]''', [[98/95]], [[65/63]], '''[[32/31]]''', [[95/92]]
|-
|-
| 50
| 15
| 192.92
| 57.87
|  
| sA1
| 124/111, [[19/17]], 123/110, 104/93, [[85/76]], 113/101
| [[31/30]], [[123/119]], [[92/89]], [[91/88]], [[121/117]], [[30/29]], [[119/115]]
|-
|-
| 51
| 16
| 196.78
| 61.73
|  
|  
| [[28/25]], [[121/108]], 65/58, [[102/91]], 37/33
| [[88/85]], [[117/113]], [[29/28]], [[115/111]], [[57/55]], [[85/82]], [[113/109]], [[28/27]]
|-
|-
| 52
| 17
| 200.64
| 65.59
|  
|  
| 46/41, 101/90, [[55/49]], '''[[64/57]]''', 73/65, 82/73, [[91/81]], 100/89, [[136/121]]
| [[109/105]], [[27/26]], [[80/77]], [[105/101]]
|-
|-
| 53
| 18
| 204.5
| 69.45
| M2
| '''[[9/8]]''', 98/87
|-
| 54
| 208.36
|  
|  
| 62/55, [[115/102]], [[44/39]], 123/109, 114/101, 35/31
| [[26/25]], [[77/74]], '''[[128/123]]''', [[51/49]], [[76/73]], [[126/121]], [[25/24]]
|-
|-
| 55
| 19
| 212.21
| 73.31
|  
|  
| [[96/85]], 87/77, 113/100, [[26/23]], [[95/84]], [[112/99]]
| ''[[124/119]]'', [[99/95]], [[73/70]], [[121/116]], [[24/23]], [[119/114]], [[95/91]]
|-
|-
| 56
| 20
| 216.07
| 77.17
|  
|  
| [[77/68]], 111/98, '''[[128/113]]''', [[17/15]]
| [[117/112]], [[93/89]], [[116/111]], [[23/22]], [[114/109]], [[91/87]], [[68/65]], [[113/108]]
|-
|-
| 57
| 21
| 219.93
| 81.02
|  
|  
| ''93/82'', 101/89, 42/37, 109/96, [[92/81]], [[25/22]]
| [[89/85]], [[22/21]], [[109/104]], [[65/62]], ''[[85/81]]''
|-
|-
| 58
| 22
| 223.79
| 84.88
|  
|  
| [[108/95]], 58/51, [[91/80]], 124/109, 33/29, 140/123, 74/65, 115/101, 41/36
| [[21/20]], [[104/99]], [[41/39]]
|-
|-
| 59
| 23
| 227.65
| 88.74
| m2
| [[81/77]], [[101/96]], [[121/115]], [[20/19]], [[119/113]], [[98/93]]
|-
| 24
| 92.6
|  
|  
| [[57/50]], [[65/57]], [[138/121]], '''[[73/64]]''', 89/78, [[105/92]], 113/99
| [[39/37]], [[58/55]], [[77/73]], [[96/91]], [[115/109]], [[19/18]]
|-
|-
| 60
| 25
| 231.51
| 96.46
|  
|  
| '''[[8/7]]''', [[119/104]]
| [[93/88]], [[130/123]], [[37/35]], [[92/87]], [[55/52]], '''[[128/121]]''', [[73/69]]
|-
|-
| 61
| 26
| 235.36
| 100.32
| sd3
|  
| 87/76, [[63/55]], [[55/48]], 102/89
| [[18/17]], [[89/84]], [[124/117]], [[123/116]], [[35/33]]
|-
|-
| 62
| 27
| 239.22
| 104.18
|  
|  
| [[39/34]], 109/95, 101/88, [[132/115]], 31/27, 116/101, 85/74, 100/87
| [[87/82]], [[52/49]], [[121/114]], [[69/65]], [[120/113]], '''[[17/16]]'''
|-
|-
| 63
| 28
| 243.08
| 108.03
|  
|  
| [[23/20]], 130/113, 84/73, [[38/33]]
| ''[[101/95]]'', [[117/110]], [[116/109]], [[33/31]], [[115/108]], [[82/77]], [[49/46]]
|-
|-
| 64
| 29
| 246.94
| 111.89
|  
|  
| [[121/105]], [[98/85]], 113/98, '''[[128/111]]''', [[15/13]]
| [[81/76]], '''[[16/15]]''', [[111/104]], [[95/89]]
|-
| 30
| 115.75
| A1
| [[78/73]], [[109/102]], [[31/29]], [[108/101]], [[77/72]], [[123/115]]
|-
|-
| 65
| 31
| 250.8
| 119.61
|  
|  
| [[52/45]], 89/77, 126/109, '''[[37/32]]''', [[140/121]]
| [[91/85]], [[121/113]], [[15/14]], [[119/111]], [[74/69]]
|-
|-
| 66
| 32
| 254.66
| 123.47
|  
|  
| ''81/70'', [[22/19]], 117/101, 95/82, 73/63, [[51/44]], [[80/69]]
| [[44/41]], [[117/109]], [[73/68]], [[102/95]], [[29/27]], [[130/121]], ''[[100/93]]''
|-
|-
| 67
| 33
| 258.52
| 127.33
|  
|  
| ''138/119'', 29/25, [[65/56]], 101/87, 36/31, [[115/99]], ''136/117''
| '''[[128/119]]''', [[99/92]], [[113/105]], [[14/13]]
|-
|-
| 68
| 34
| 262.37
| 131.18
| sA2
| 93/80, [[57/49]], [[121/104]], '''[[64/55]]''', 85/73
|-
| 69
| 266.23
|  
|  
| ''99/85'', [[7/6]]
| '''[[69/64]]''', [[124/115]], [[55/51]], [[96/89]], [[41/38]], [[109/101]], [[68/63]], [[95/88]]
|-
|-
| 70
| 35
| 270.09
| 135.04
|  
|  
| 132/113, 111/95, 104/89, [[90/77]], [[76/65]]
| [[27/25]], [[121/112]], [[40/37]], [[119/110]]
|-
|-
| 71
| 36
| 273.95
| 138.9
|  
|  
| ''117/100'', 48/41, 89/76, 130/111, 41/35, 116/99, '''[[75/64]]''', 109/93, 34/29, ''95/81''
| [[92/85]], [[13/12]]
|-
|-
| 72
| 37
| 277.81
| 142.76
|  
|  
| [[88/75]], [[115/98]], [[27/23]], '''[[128/109]]''', 74/63
| [[89/82]], [[38/35]], [[101/93]], [[63/58]], [[88/81]], [[113/104]], [[25/23]]
|-
| 38
| 146.62
| N2
| [[87/80]], [[62/57]], [[99/91]], [[37/34]], [[123/113]], [[49/45]], [[110/101]], ''[[85/78]]''
|-
|-
| 73
| 39
| 281.67
| 150.48
|  
|  
| 87/74, [[20/17]], 113/96, 73/62, ''119/101''
| [[109/100]], [[121/111]], [[12/11]], [[119/109]], [[95/87]]
|-
|-
| 74
| 40
| 285.53
| 154.34
|  
|  
| [[33/28]], [[112/95]], [[46/39]], 105/89, [[85/72]]
| [[130/119]], [[82/75]], '''[[35/32]]''', '''[[128/117]]'''
|-
|-
| 75
| 41
| 289.38
| 158.19
|  
|  
| 124/105, [[13/11]], [[136/115]], 123/104, 110/93
| ''[[93/85]]'', [[81/74]], [[104/95]], [[23/21]], [[126/115]], [[80/73]], [[57/52]], [[34/31]]
|-
|-
| 76
| 42
| 293.24
| 162.05
| m3
|  
| 58/49, [[45/38]], [[77/65]], 109/92, '''[[32/27]]'''
| [[124/113]], [[45/41]], [[101/92]], [[56/51]], [[123/112]], [[89/81]], [[100/91]], [[111/101]]
|-
|-
| 77
| 43
| 297.1
| 165.91
|  
|  
| [[121/102]], 89/75, [[108/91]], 146/123, '''[[19/16]]''', 120/101, 82/69
| [[11/10]], [[120/109]], [[109/99]], [[98/89]], [[76/69]], ''[[119/108]]''
|-
|-
| 78
| 44
| 300.96
| 169.77
|  
|  
| ''101/85'', 44/37, 113/95, 69/58, [[119/100]], [[144/121]], [[25/21]]
| [[54/49]], [[75/68]], '''[[32/29]]''', [[85/77]]
|-
|-
| 79
| 45
| 304.82
| 173.63
|  
|  
| ''81/68'', 87/73, 31/26, 130/109, [[68/57]], [[105/88]], 37/31
| [[116/105]], [[21/19]], [[136/123]], [[115/104]], [[73/66]]
|-
| 46
| 177.49
| d3
| [[31/28]], [[72/65]], [[113/102]], [[41/37]], [[51/46]], [[112/101]]
|-
|-
| 80
| 47
| 308.68
| 181.35
|  
|  
| [[117/98]], [[92/77]], 49/41, 104/87, [[55/46]], ''140/117''
| [[132/119]], [[81/73]], [[91/82]], [[101/91]], [[111/100]], [[121/109]], [[10/9]]
|-
|-
| 81
| 48
| 312.54
| 185.2
|  
|  
| [[91/76]], 109/91, [[115/96]], 121/101
| [[109/98]], [[99/89]], [[89/80]], [[69/62]], '''[[128/115]]''', [[49/44]]
|-
|-
| 82
| 49
| 316.39
| 189.06
|  
|  
| [[6/5]], ''119/99''
| [[39/35]], [[126/113]], [[29/26]], [[77/69]]
|-
|-
| 83
| 50
| 320.25
| 192.92
| A2
| 101/84, 89/74, '''[[77/64]]''', 148/123, 136/113, [[65/54]], 112/93
|-
| 84
| 324.11
|  
|  
| 88/73, 41/34, [[76/63]], 111/92, 146/121, 35/29
| [[124/111]], [[19/17]], [[123/110]], [[104/93]], [[85/76]], [[113/101]]
|-
|-
| 85
| 51
| 327.97
| 196.78
|  
|  
| 99/82, 93/77, 29/24, [[110/91]], 75/62, [[98/81]]
| [[28/25]], [[121/108]], [[65/58]], [[102/91]], [[37/33]]
|-
|-
| 86
| 52
| 331.83
| 200.64
|  
|  
| [[121/100]], [[144/119]], [[23/19]], 132/109, 109/90, [[63/52]], [[40/33]]
| [[46/41]], [[101/90]], [[55/49]], '''[[64/57]]''', [[73/65]], [[82/73]], [[91/81]], [[100/89]], [[136/121]]
|-
|-
| 87
| 53
| 335.69
| 204.5
| M2
| '''[[9/8]]''', [[98/87]]
|-
| 54
| 208.36
|  
|  
| [[91/75]], 108/89, [[17/14]], 113/93
| [[62/55]], [[115/102]], [[44/39]], [[123/109]], [[114/101]], [[35/31]]
|-
|-
| 88
| 55
| 339.54
| 212.21
|  
|  
| 62/51, 45/37, 73/60, [[28/23]], 123/101, [[95/78]]
| [[96/85]], [[87/77]], [[113/100]], [[26/23]], [[95/84]], [[112/99]]
|-
|-
| 89
| 56
| 343.4
| 216.07
|  
|  
| '''[[39/32]]''', '''[[128/105]]''', 89/73, 50/41, 111/91
| [[77/68]], [[111/98]], '''[[128/113]]''', [[17/15]]
|-
|-
| 90
| 57
| 347.26
| 219.93
|  
|  
| 116/95, 138/113, [[11/9]], 148/121
| ''[[93/82]]'', [[101/89]], [[42/37]], [[109/96]], [[92/81]], [[25/22]]
|-
|-
| 91
| 58
| 351.12
| 223.79
| N3
| [[104/85]], 93/76, [[60/49]], 109/89, [[49/40]], 136/111, 38/31
|-
| 92
| 354.98
|  
|  
| [[92/75]], 146/119, [[27/22]], 124/101, [[70/57]], 113/92
| [[108/95]], [[58/51]], [[91/80]], [[124/109]], [[33/29]], [[140/123]], [[74/65]], [[115/101]], [[41/36]]
|-
|-
| 93
| 59
| 358.84
| 227.65
|  
|  
| 91/74, 123/100, '''[[16/13]]''', ''85/69''
| [[57/50]], [[65/57]], [[138/121]], '''[[73/64]]''', [[89/78]], [[105/92]], [[113/99]]
|-
|-
| 94
| 60
| 362.7
| 231.51
|  
|  
| ''117/95'', 101/82, [[69/56]], 90/73, 37/30, [[95/77]], ''100/81''
| '''[[8/7]]''', [[119/104]]
|-
| 61
| 235.36
| sd3
| [[87/76]], [[63/55]], [[55/48]], [[102/89]]
|-
|-
| 95
| 62
| 366.55
| 239.22
|  
|  
| [[121/98]], [[21/17]], 152/123, 110/89, 89/72, [[68/55]], 115/93
| [[39/34]], [[109/95]], [[101/88]], [[132/115]], [[31/27]], [[116/101]], [[85/74]], [[100/87]]
|-
|-
| 96
| 63
| 370.41
| 243.08
|  
|  
| [[99/80]], [[26/21]], 109/88, 140/113, [[57/46]], [[119/96]], [[150/121]]
| [[23/20]], [[130/113]], [[84/73]], [[38/33]]
|-
|-
| 97
| 64
| 374.27
| 246.94
|  
|  
| 31/25, 36/29, 113/91, 77/62, 41/33
| [[121/105]], [[98/85]], [[113/98]], '''[[128/111]]''', [[15/13]]
|-
|-
| 98
| 65
| 378.13
| 250.8
|  
|  
| 87/70, 46/37, 148/119, 51/41, [[56/45]]
| [[52/45]], [[89/77]], [[126/109]], '''[[37/32]]''', [[140/121]]
|-
|-
| 99
| 66
| 381.99
| 254.66
| d4
|  
| [[81/65]], 91/73, [[96/77]], 101/81, 111/89, 116/93, 126/101, 136/109, 146/117
| ''[[81/70]]'', [[22/19]], [[117/101]], [[95/82]], [[73/63]], [[51/44]], [[80/69]]
|-
|-
| 100
| 67
| 385.85
| 258.52
|  
|  
| '''[[5/4]]'''
| ''[[138/119]]'', [[29/25]], [[65/56]], [[101/87]], [[36/31]], [[115/99]], ''[[136/117]]''
|-
| 68
| 262.37
| sA2
| [[93/80]], [[57/49]], [[121/104]], '''[[64/55]]''', [[85/73]]
|-
|-
| 101
| 69
| 389.71
| 266.23
|  
|  
| 154/123, [[144/115]], 124/99, [[119/95]], [[114/91]], 109/87
| ''[[99/85]]'', [[7/6]]
|-
|-
| 102
| 70
| 393.56
| 270.09
|  
|  
| [[69/55]], '''[[64/51]]''', 123/98, 113/90, [[152/121]], [[49/39]]
| [[132/113]], [[111/95]], [[104/89]], [[90/77]], [[76/65]]
|-
|-
| 103
| 71
| 397.42
| 273.95
|  
|  
| 93/74, [[44/35]], 39/31, 112/89, 73/58, [[34/27]]
| ''[[117/100]]'', [[48/41]], [[89/76]], [[130/111]], [[41/35]], [[116/99]], '''[[75/64]]''', [[109/93]], [[34/29]], ''[[95/81]]''
|-
|-
| 104
| 72
| 401.28
| 277.81
|  
|  
| [[63/50]], 92/73, [[121/96]], [[150/119]], 29/23, 140/111, 111/88, 82/65
| [[88/75]], [[115/98]], [[27/23]], '''[[128/109]]''', [[74/63]]
|-
|-
| 105
| 73
| 405.14
| 281.67
|  
|  
| 101/80, [[24/19]], [[115/91]], [[91/72]], 110/87, 148/117
| [[87/74]], [[20/17]], [[113/96]], [[73/62]], ''[[119/101]]''
|-
|-
| 106
| 74
| 409.0
| 285.53
| M3
|  
| 62/49, '''[[81/64]]''', 138/109, [[19/15]], '''[[128/101]]'''
| [[33/28]], [[112/95]], [[46/39]], [[105/89]], [[85/72]]
|-
|-
| 107
| 75
| 412.86
| 289.38
|  
|  
| 52/41, [[33/26]], 146/115, 113/89, [[80/63]]
| [[124/105]], [[13/11]], [[136/115]], [[123/104]], [[110/93]]
|-
|-
| 108
| 76
| 416.72
| 293.24
|  
| m3
| ''108/85'', 89/70, [[117/92]], [[14/11]]
| [[58/49]], [[45/38]], [[77/65]], [[109/92]], '''[[32/27]]'''
|-
|-
| 109
| 77
| 420.57
| 297.1
|  
|  
| [[121/95]], 93/73, 144/113, [[65/51]], 116/91, [[51/40]], [[88/69]], 37/29
| [[121/102]], [[89/75]], [[108/91]], [[146/123]], '''[[19/16]]''', [[120/101]], [[82/69]]
|-
|-
| 110
| 78
| 424.43
| 300.96
|  
|  
| [[152/119]], [[23/18]], ''119/93''
| ''[[101/85]]'', [[44/37]], [[113/95]], [[69/58]], [[119/100]], [[144/121]], [[25/21]]
|-
|-
| 111
| 79
| 428.29
| 304.82
|  
|  
| 87/68, '''[[32/25]]''', 105/82, 73/57, 114/89, '''[[41/32]]''', [[50/39]]
| ''[[81/68]]'', [[87/73]], [[31/26]], [[130/109]], [[68/57]], [[105/88]], [[37/31]]
|-
|-
| 112
| 80
| 432.15
| 308.68
|  
|  
| 109/85, [[77/60]], 95/74, [[104/81]], 113/88, 140/109
| [[117/98]], [[92/77]], [[49/41]], [[104/87]], [[55/46]], ''[[140/117]]''
|-
|-
| 113
| 81
| 436.01
| 312.54
|  
|  
| [[9/7]], 148/115, 130/101, 112/87, ''85/66''
| [[91/76]], [[109/91]], [[115/96]], [[121/101]]
|-
|-
| 114
| 82
| 439.87
| 316.39
| sd4
|  
| 58/45, [[156/121]], [[49/38]], 89/69, 40/31
| [[6/5]], ''[[119/99]]''
|-
|-
| 115
| 83
| 443.72
| 320.25
|  
| A2
| 31/24, 146/113, 115/89, [[84/65]], '''[[128/99]]''', 75/58, [[119/92]]
| [[101/84]], [[89/74]], '''[[77/64]]''', [[148/123]], [[136/113]], [[65/54]], [[112/93]]
|-
|-
| 116
| 84
| 447.58
| 324.11
|  
|  
| [[22/17]], 123/95, 101/78, [[136/105]], [[57/44]], [[35/27]]
| [[88/73]], [[41/34]], [[76/63]], [[111/92]], [[146/121]], [[35/29]]
|-
|-
| 117
| 85
| 451.44
| 327.97
|  
|  
| 48/37, 109/84, 74/57, [[100/77]], 113/87, [[152/117]]
| [[99/82]], [[93/77]], [[29/24]], [[110/91]], [[75/62]], [[98/81]]
|-
|-
| 118
| 86
| 455.3
| 331.83
|  
|  
| [[13/10]], 160/123, 121/93, 95/73, 82/63
| [[121/100]], [[144/119]], [[23/19]], [[132/109]], [[109/90]], [[63/52]], [[40/33]]
|-
|-
| 119
| 87
| 459.16
| 335.69
|  
|  
| [[99/76]], 116/89, 73/56, [[30/23]]
| [[91/75]], [[108/89]], [[17/14]], [[113/93]]
|-
|-
| 120
| 88
| 463.02
| 339.54
|  
|  
| 124/95, 111/85, '''[[64/49]]''', 81/62, [[98/75]], [[115/88]], 132/101, [[17/13]]
| [[62/51]], [[45/37]], [[73/60]], [[28/23]], [[123/101]], [[95/78]]
|-
|-
| 121
| 89
| 466.88
| 343.4
| sA3
| 89/68, [[72/55]], [[55/42]], 148/113, 38/29
|-
| 122
| 470.73
|  
|  
| ''156/119'', 101/77, '''[[21/16]]''', [[130/99]]
| '''[[39/32]]''', '''[[128/105]]''', [[89/73]], [[50/41]], [[111/91]]
|-
|-
| 123
| 90
| 474.59
| 347.26
|  
|  
| [[46/35]], 117/89, 96/73, [[121/92]], 146/111, [[25/19]], [[154/117]]
| [[116/95]], [[138/113]], [[11/9]], [[148/121]]
|-
|-
| 124
| 91
| 478.45
| 351.12
| N3
| [[104/85]], [[93/76]], [[60/49]], [[109/89]], [[49/40]], [[136/111]], [[38/31]]
|-
| 92
| 354.98
|  
|  
| 54/41, [[112/85]], 29/22, [[120/91]], [[91/69]], [[95/72]]
| [[92/75]], [[146/119]], [[27/22]], [[124/101]], [[70/57]], [[113/92]]
|-
|-
| 125
| 93
| 482.31
| 358.84
|  
|  
| [[33/25]], 144/109, 37/28, [[152/115]], 115/87, [[119/90]], [[160/121]], 41/31
| [[91/74]], [[123/100]], '''[[16/13]]''', ''[[85/69]]''
|-
|-
| 126
| 94
| 486.17
| 362.7
|  
|  
| [[45/34]], 49/37, [[102/77]]
| ''[[117/95]]'', [[101/82]], [[69/56]], [[90/73]], [[37/30]], [[95/77]], ''[[100/81]]''
|-
|-
| 127
| 95
| 490.03
| 366.55
|  
|  
| [[126/95]], [[65/49]], [[69/52]], 73/55, 150/113, 77/58, '''[[85/64]]'''
| [[121/98]], [[21/17]], [[152/123]], [[110/89]], [[89/72]], [[68/55]], [[115/93]]
|-
|-
| 128
| 96
| 493.89
| 370.41
|  
|  
| ''93/70'', 101/76, 109/82, 113/85, [[117/88]], [[121/91]]
| [[99/80]], [[26/21]], [[109/88]], [[140/113]], [[57/46]], [[119/96]], [[150/121]]
|-
|-
| 129
| 97
| 497.74
| 374.27
| P4
|  
| '''[[4/3]]'''
| [[31/25]], [[36/29]], [[113/91]], [[77/62]], [[41/33]]
|-
|-
| 130
| 98
| 501.6
| 378.13
|  
|  
| 123/92, 119/89
| [[87/70]], [[46/37]], [[148/119]], [[51/41]], [[56/45]]
|-
| 99
| 381.99
| d4
| [[81/65]], [[91/73]], [[96/77]], [[101/81]], [[111/89]], [[116/93]], [[126/101]], [[136/109]], [[146/117]]
|-
|-
| 131
| 100
| 505.46
| 385.85
|  
|  
| 99/74, [[91/68]], 87/65, [[162/121]], [[154/115]], [[75/56]], 146/109
| '''[[5/4]]'''
|-
|-
| 132
| 101
| 509.32
| 389.71
|  
|  
| [[114/85]], 55/41, [[51/38]], 98/73
| [[154/123]], [[144/115]], [[124/99]], [[119/95]], [[114/91]], [[109/87]]
|-
|-
| 133
| 102
| 513.18
| 393.56
|  
|  
| [[121/90]], [[160/119]], 39/29, 152/113, 113/84, 74/55, 109/81, [[35/26]], 136/101
| [[69/55]], '''[[64/51]]''', [[123/98]], [[113/90]], [[152/121]], [[49/39]]
|-
|-
| 134
| 103
| 517.04
| 397.42
|  
|  
| 101/75, [[66/49]], '''[[128/95]]''', 31/23, 120/89, 89/66, [[85/63]]
| [[93/74]], [[44/35]], [[39/31]], [[112/89]], [[73/58]], [[34/27]]
|-
|-
| 135
| 104
| 520.9
| 401.28
|  
|  
| [[27/20]], [[104/77]], [[77/57]], 50/37, 123/91, 73/54, [[119/88]]
| [[63/50]], [[92/73]], [[121/96]], [[150/119]], [[29/23]], [[140/111]], [[111/88]], [[82/65]]
|-
|-
| 136
| 105
| 524.75
| 405.14
| A3
|  
| [[23/17]], 111/82, [[88/65]], [[65/48]], 42/31, 164/121
| [[101/80]], [[24/19]], [[115/91]], [[91/72]], [[110/87]], [[148/117]]
|-
|-
| 137
| 106
| 528.61
| 409.0
|  
| M3
| 99/73, [[156/115]], [[19/14]], 148/109, [[110/81]]
| [[62/49]], '''[[81/64]]''', [[138/109]], [[19/15]], '''[[128/101]]'''
|-
|-
| 138
| 107
| 532.47
| 412.86
|  
|  
| '''[[87/64]]''', 121/89, [[34/25]], [[49/36]]
| [[52/41]], [[33/26]], [[146/115]], [[113/89]], [[80/63]]
|-
|-
| 139
| 108
| 536.33
| 416.72
|  
|  
| ''162/119'', 109/80, 124/91, 154/113, [[15/11]]
| ''[[108/85]]'', [[89/70]], [[117/92]], [[14/11]]
|-
|-
| 140
| 109
| 540.19
| 420.57
|  
|  
| 116/85, 101/74, 56/41, 138/101, 41/30, [[160/117]], ''119/87''
| [[121/95]], [[93/73]], [[144/113]], [[65/51]], [[116/91]], [[51/40]], [[88/69]], [[37/29]]
|-
|-
| 141
| 110
| 544.05
| 424.43
|  
|  
| ''93/68'', [[26/19]], [[115/84]], 89/65, 152/111, [[63/46]], 100/73, 37/27, ''85/62''
| [[152/119]], [[23/18]], ''[[119/93]]''
|-
|-
| 142
| 111
| 547.9
| 428.29
|  
|  
| [[48/35]], [[70/51]], [[136/99]]
| [[87/68]], '''[[32/25]]''', [[105/82]], [[73/57]], [[114/89]], '''[[41/32]]''', [[50/39]]
|-
|-
| 143
| 112
| 551.76
| 432.15
|  
|  
| '''[[11/8]]''', 150/109, '''[[128/93]]''', [[95/69]]
| [[109/85]], [[77/60]], [[95/74]], [[104/81]], [[113/88]], [[140/109]]
|-
|-
| 144
| 113
| 555.62
| 436.01
| sA4
|  
| ''117/85'', 62/45, 113/82, 164/119, 51/37, [[91/66]], 40/29
| [[9/7]], [[148/115]], [[130/101]], [[112/87]], ''[[85/66]]''
|-
|-
| 145
| 114
| 559.48
| 439.87
|  
| sd4
| [[69/50]], 156/113, 29/21, [[105/76]], [[76/55]], 123/89, 170/123, [[112/81]]
| [[58/45]], [[156/121]], [[49/38]], [[89/69]], [[40/31]]
|-
|-
| 146
| 115
| 563.34
| 443.72
|  
|  
| 101/73, [[18/13]], ''140/101''
| [[31/24]], [[146/113]], [[115/89]], [[84/65]], '''[[128/99]]''', [[75/58]], [[119/92]]
|-
|-
| 147
| 116
| 567.2
| 447.58
|  
|  
| [[104/75]], 154/111, 111/80, [[68/49]], [[168/121]], [[25/18]]
| [[22/17]], [[123/95]], [[101/78]], [[136/105]], [[57/44]], [[35/27]]
|-
|-
| 148
| 117
| 571.06
| 451.44
|  
|  
| [[132/95]], 57/41, 146/105, '''[[89/64]]''', 121/87, '''[[32/23]]'''
| [[48/37]], [[109/84]], [[74/57]], [[100/77]], [[113/87]], [[152/117]]
|-
|-
| 149
| 118
| 574.91
| 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
| ''[[93/70]]'', [[101/76]], [[109/82]], [[113/85]], [[117/88]], [[121/91]]
|-
|-
| 160
| 129
| 617.36
| 497.74
|  
| P4
| ''117/82'', [[10/7]]
| '''[[4/3]]'''
|-
|-
| 161
| 130
| 621.22
| 501.6
|  
|  
| 93/65, 176/123, 156/109, 73/51, [[136/95]], [[63/44]], 116/81
| [[123/92]], [[119/89]]
|-
|-
| 162
| 131
| 625.08
| 505.46
|  
|  
| 162/113, 109/76, [[33/23]], 89/62, [[56/39]]
| [[99/74]], [[91/68]], [[87/65]], [[162/121]], [[154/115]], [[75/56]], [[146/109]]
|-
|-
| 163
| 132
| 628.93
| 509.32
|  
|  
| '''[[23/16]]''', 174/121, '''[[128/89]]''', 105/73, 82/57, [[95/66]]
| [[114/85]], [[55/41]], [[51/38]], [[98/73]]
|-
|-
| 164
| 133
| 632.79
| 513.18
|  
|  
| [[36/25]], [[121/84]], [[49/34]], 160/111, 111/77, [[75/52]]
| [[121/90]], [[160/119]], [[39/29]], [[152/113]], [[113/84]], [[74/55]], [[109/81]], [[35/26]], [[136/101]]
|-
|-
| 165
| 134
| 636.65
| 517.04
|  
|  
| ''101/70'', [[13/9]], 146/101
| [[101/75]], [[66/49]], '''[[128/95]]''', [[31/23]], [[120/89]], [[89/66]], [[85/63]]
|-
|-
| 166
| 135
| 640.51
| 520.9
|  
|  
| [[81/56]], 123/85, 178/123, [[55/38]], [[152/105]], 42/29, 113/78, [[100/69]]
| [[27/20]], [[104/77]], [[77/57]], [[50/37]], [[123/91]], [[73/54]], [[119/88]]
|-
|-
| 167
| 136
| 644.37
| 524.75
| sd5
| A3
| 29/20, [[132/91]], 74/51, 119/82, 164/113, 45/31, ''170/117''
| [[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
|
| [[104/75]], [[154/111]], [[111/80]], [[68/49]], [[168/121]], [[25/18]]
|-
| 148
| 571.06
|  
|  
| 101/68, [[52/35]], 162/109, 55/37, 168/113, 113/76, 58/39, [[119/80]], [[180/121]]
| [[132/95]], [[57/41]], [[146/105]], '''[[89/64]]''', [[121/87]], '''[[32/23]]'''
|-
|-
| 179
| 149
| 690.67
| 574.91
|  
|  
| 73/49, [[76/51]], 82/55, [[85/57]]
| [[39/28]], [[124/89]], [[46/33]], [[152/109]], [[113/81]]
|-
|-
| 180
| 150
| 694.53
| 578.77
|  
|  
| 109/73, [[112/75]], [[115/77]], [[121/81]], 130/87, [[136/91]], 148/99
| [[81/58]], [[88/63]], [[95/68]], [[102/73]], [[109/78]], [[123/88]], [[130/93]]
|-
|-
| 181
| 151
| 698.39
| 582.63
|  
|  
| 178/119, 184/123
| [[7/5]], ''[[164/117]]''
|-
|-
| 182
| 152
| 702.25
| 586.49
| P5
| d5
| '''[[3/2]]'''
| [[115/82]], [[108/77]], [[101/72]], [[87/62]], [[80/57]], [[73/52]], ''[[170/121]]''
|-
|-
| 183
| 153
| 706.1
| 590.35
|  
|  
| [[182/121]], [[176/117]], 170/113, 164/109, 152/101, ''140/93''
| [[52/37]], '''[[45/32]]''', '''[[128/91]]''', [[38/27]]
|-
|-
| 184
| 154
| 709.96
| 594.21
|  
|  
| '''[[128/85]]''', 116/77, 113/75, 110/73, [[104/69]], [[98/65]], [[95/63]]
| [[69/49]], [[162/115]], [[31/22]], [[148/105]], [[55/39]]
|-
|-
| 185
| 155
| 713.82
| 598.07
|  
|  
| [[77/51]], 74/49, [[68/45]]
| [[24/17]], [[113/80]], [[89/63]], [[154/109]], [[65/46]], [[41/29]], [[140/99]]
|-
|-
| 186
| 156
| 717.68
| 601.92
|  
|  
| 62/41, [[121/80]], [[180/119]], 174/115, [[115/76]], 56/37, 109/72, [[50/33]]
| [[99/70]], [[58/41]], [[92/65]], [[109/77]], [[126/89]], [[160/113]], [[17/12]]
|-
|-
| 187
| 157
| 721.54
| 605.78
|  
|  
| [[144/95]], [[138/91]], [[91/60]], 44/29, [[85/56]], 41/27
| [[78/55]], [[105/74]], [[44/31]], [[115/81]], [[98/69]]
|-
|-
| 188
| 158
| 725.4
| 609.64
|  
|  
| [[117/77]], [[38/25]], 111/73, [[184/121]], 73/48, 178/117, [[35/23]]
| [[27/19]], '''[[91/64]]''', '''[[64/45]]''', [[37/26]]
|-
| 159
| 613.5
| A4
| ''[[121/85]]'', [[104/73]], [[57/40]], [[124/87]], [[144/101]], [[77/54]], [[164/115]]
|-
|-
| 189
| 160
| 729.26
| 617.36
|  
|  
| [[99/65]], '''[[32/21]]''', 154/101, ''119/78''
| ''[[117/82]]'', [[10/7]]
|-
|-
| 190
| 161
| 733.11
| 621.22
| sd6
| 29/19, 113/74, [[84/55]], [[55/36]], 136/89
|-
| 191
| 736.97
|  
|  
| [[26/17]], 101/66, [[176/115]], [[75/49]], 124/81, '''[[49/32]]''', 170/111, 95/62
| [[93/65]], [[176/123]], [[156/109]], [[73/51]], [[136/95]], [[63/44]], [[116/81]]
|-
|-
| 192
| 162
| 740.83
| 625.08
|  
|  
| [[23/15]], 112/73, 89/58, [[152/99]]
| [[162/113]], [[109/76]], [[33/23]], [[89/62]], [[56/39]]
|-
|-
| 193
| 163
| 744.69
| 628.93
|  
|  
| 63/41, 146/95, 186/121, 123/80, [[20/13]]
| '''[[23/16]]''', [[174/121]], '''[[128/89]]''', [[105/73]], [[82/57]], [[95/66]]
|-
|-
| 194
| 164
| 748.55
| 632.79
|  
|  
| [[117/76]], 174/113, [[77/50]], 57/37, 168/109, 37/24
| [[36/25]], [[121/84]], [[49/34]], [[160/111]], [[111/77]], [[75/52]]
|-
|-
| 195
| 165
| 752.41
| 636.65
|  
|  
| [[54/35]], [[88/57]], [[105/68]], 156/101, 190/123, [[17/11]]
| ''[[101/70]]'', [[13/9]], [[146/101]]
|-
|-
| 196
| 166
| 756.27
| 640.51
|  
|  
| [[184/119]], 116/75, '''[[99/64]]''', [[65/42]], 178/115, 113/73, 48/31
| [[81/56]], [[123/85]], [[178/123]], [[55/38]], [[152/105]], [[42/29]], [[113/78]], [[100/69]]
|-
|-
| 197
| 167
| 760.12
| 644.37
| sA5
| sd5
| 31/20, 138/89, [[76/49]], [[121/78]], 45/29
| [[29/20]], [[132/91]], [[74/51]], [[119/82]], [[164/113]], [[45/31]], ''[[170/117]]''
|-
|-
| 198
| 168
| 763.98
| 648.23
|  
|  
| ''132/85'', 87/56, 101/65, 115/74, [[14/9]]
| [[138/95]], '''[[93/64]]''', [[109/75]], '''[[16/11]]'''
|-
|-
| 199
| 169
| 767.84
| 652.09
|  
|  
| 109/70, 176/113, [[81/52]], 148/95, [[120/77]], 170/109
| [[99/68]], [[51/35]], [[35/24]]
|-
|-
| 200
| 170
| 771.7
| 655.94
|  
|  
| [[39/25]], '''[[64/41]]''', 89/57, 114/73, 164/105, '''[[25/16]]''', 136/87
| ''[[124/85]]'', [[54/37]], [[73/50]], [[92/63]], [[111/76]], [[130/89]], [[168/115]], [[19/13]], ''[[136/93]]''
|-
|-
| 201
| 171
| 775.56
| 659.8
|  
|  
| ''186/119'', [[36/23]], [[119/76]]
| ''[[174/119]]'', [[117/80]], [[60/41]], [[101/69]], [[41/28]], [[148/101]], [[85/58]]
|-
|-
| 202
| 172
| 779.42
| 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
|-
| 229
| 883.6
|  
|  
| ''198/119'', [[5/3]]
| [[109/70]], [[176/113]], [[81/52]], [[148/95]], [[120/77]], [[170/109]]
|-
|-
| 230
| 200
| 887.45
| 771.7
|  
|  
| 202/121, [[192/115]], 182/109, [[152/91]]
| [[39/25]], '''[[64/41]]''', [[89/57]], [[114/73]], [[164/105]], '''[[25/16]]''', [[136/87]]
|-
|-
| 231
| 201
| 891.31
| 775.56
|  
|  
| ''117/70'', [[92/55]], 87/52, 82/49, [[77/46]], [[196/117]]
| ''[[186/119]]'', [[36/23]], [[119/76]]
|-
|-
| 232
| 202
| 895.17
| 779.42
|  
|  
| 62/37, [[176/105]], [[57/34]], 109/65, 52/31, 146/87, ''136/81''
| [[58/37]], [[69/44]], [[80/51]], [[91/58]], [[102/65]], [[113/72]], [[146/93]], [[190/121]]
|-
|-
| 233
| 203
| 899.03
| 783.27
|  
|  
| [[42/25]], [[121/72]], [[200/119]], 116/69, 190/113, 37/22, ''170/101''
| [[11/7]], [[184/117]], [[140/89]], ''[[85/54]]''
|-
|-
| 234
| 204
| 902.89
| 787.13
|  
|  
| 69/41, 101/60, '''[[32/19]]''', 123/73, [[91/54]], 150/89, [[204/121]]
| [[63/40]], [[178/113]], [[115/73]], [[52/33]], [[41/26]]
|-
|-
| 235
| 205
| 906.75
| 790.99
| M6
| m6
| '''[[27/16]]''', 184/109, [[130/77]], [[76/45]], 49/29
| '''[[101/64]]''', [[30/19]], [[109/69]], '''[[128/81]]''', [[49/31]]
|-
|-
| 236
| 206
| 910.61
| 794.85
|  
|  
| 93/55, 208/123, [[115/68]], [[22/13]], 105/62
| [[117/74]], [[87/55]], [[144/91]], [[182/115]], [[19/12]], [[160/101]]
|-
|-
| 237
| 207
| 914.46
| 798.71
|  
|  
| [[144/85]], 178/105, [[39/23]], [[95/56]], [[56/33]]
| [[65/41]], [[176/111]], [[111/70]], [[46/29]], [[119/75]], [[192/121]], [[73/46]], [[100/63]]
|-
|-
| 238
| 208
| 918.32
| 802.57
|  
|  
| ''202/119'', 124/73, 192/113, [[17/10]], 148/87
| [[27/17]], [[116/73]], [[89/56]], [[62/39]], [[35/22]], [[148/93]]
|-
|-
| 239
| 209
| 922.18
| 806.43
|  
|  
| 63/37, '''[[109/64]]''', [[46/27]], [[196/115]], [[75/44]]
| [[78/49]], [[121/76]], [[180/113]], [[196/123]], '''[[51/32]]''', [[110/69]]
|-
|-
| 240
| 210
| 926.04
| 810.28
|  
|  
| ''162/95'', 29/17, 186/109, '''[[128/75]]''', 99/58, 70/41, 111/65, 152/89, 41/24, ''200/117''
| [[174/109]], [[91/57]], [[190/119]], [[99/62]], [[115/72]], [[123/77]]
|-
|-
| 241
| 211
| 929.9
| 814.14
|  
|  
| [[65/38]], [[77/45]], 89/52, 190/111, 113/66
| '''[[8/5]]'''
|-
|-
| 242
| 212
| 933.76
| 818.0
| A5
| [[117/73]], [[109/68]], [[101/63]], [[93/58]], [[178/111]], [[162/101]], [[77/48]], [[146/91]], [[130/81]]
|-
| 213
| 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]]
|-
|-
| 256
| 228
| 987.78
| 879.74
| d7
| [[93/56]], [[108/65]], [[113/68]], [[123/74]], '''[[128/77]]''', [[148/89]], [[168/101]]
|-
| 229
| 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]]'''
| ''[[117/70]]'', [[92/55]], [[87/52]], [[82/49]], [[77/46]], [[196/117]]
|-
|-
| 259
| 232
| 999.35
| 895.17
|  
|  
| [[121/68]], 89/50, [[162/91]], 73/41, 130/73, '''[[57/32]]''', [[98/55]], 180/101, 41/23
| [[62/37]], [[176/105]], [[57/34]], [[109/65]], [[52/31]], [[146/87]], ''[[136/81]]''
|-
|-
| 260
| 233
| 1003.21
| 899.03
|  
|  
| 66/37, [[91/51]], 116/65, [[216/121]], [[25/14]]
| [[42/25]], [[121/72]], [[200/119]], [[116/69]], [[190/113]], [[37/22]], ''[[170/101]]''
|-
|-
| 261
| 234
| 1007.07
| 902.89
|  
|  
| 202/113, [[152/85]], 93/52, 220/123, [[34/19]], 111/62
| [[69/41]], [[101/60]], '''[[32/19]]''', [[123/73]], [[91/54]], [[150/89]], [[204/121]]
|-
|-
| 262
| 235
| 1010.93
| 906.75
|  
| M6
| [[138/77]], 52/29, 113/63, [[70/39]]
| '''[[27/16]]''', [[184/109]], [[130/77]], [[76/45]], [[49/29]]
|-
|-
| 263
| 236
| 1014.79
| 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]]
|-
| 250
| 964.63
| sA6
| [[89/51]], [[96/55]], [[110/63]], [[152/87]]
|-
|-
| 277
| 251
| 1068.81
| 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]]
|-
|-
| 284
| 258
| 1095.81
| 995.49
|  
| m7
| '''[[32/17]]''', 113/60, [[130/69]], [[228/121]], [[49/26]], 164/87
| [[87/49]], '''[[16/9]]'''
|-
|-
| 285
| 259
| 1099.67
| 999.35
|  
|  
| [[66/35]], 232/123, 117/62, 168/89, [[17/9]]
| [[121/68]], [[89/50]], [[162/91]], [[73/41]], [[130/73]], '''[[57/32]]''', [[98/55]], [[180/101]], [[41/23]]
|-
|-
| 286
| 260
| 1103.53
| 1003.21
|  
|  
| 138/73, '''[[121/64]]''', [[104/55]], 87/46, 70/37, 123/65, 176/93
| [[66/37]], [[91/51]], [[116/65]], [[216/121]], [[25/14]]
|-
|-
| 287
| 261
| 1107.39
| 1007.07
|  
|  
| [[36/19]], 218/115, [[91/48]], 146/77, 55/29, 74/39
| [[202/113]], [[152/85]], [[93/52]], [[220/123]], [[34/19]], [[111/62]]
|-
|-
| 288
| 262
| 1111.25
| 1010.93
| M7
|  
| 93/49, 226/119, [[19/10]], [[230/121]], 192/101, [[154/81]]
| [[138/77]], [[52/29]], [[113/63]], [[70/39]]
|-
|-
| 289
| 263
| 1115.11
| 1014.79
|  
|  
| 78/41, [[99/52]], [[40/21]]
| [[88/49]], '''[[115/64]]''', [[124/69]], [[160/89]], [[178/99]], [[196/109]]
|-
|-
| 290
| 264
| 1118.97
| 1018.64
|  
|  
| ''162/85'', 124/65, 208/109, [[21/11]], 170/89
| [[9/5]], [[218/121]], [[200/111]], [[182/101]], [[164/91]], [[146/81]], [[119/66]]
|-
|-
| 291
| 265
| 1122.82
| 1022.5
|  
| A6
| 216/113, [[65/34]], 174/91, 109/57, [[44/23]], 111/58, 178/93, [[224/117]]
| [[101/56]], [[92/51]], [[74/41]], [[204/113]], [[65/36]], [[56/31]]
|-
|-
| 292
| 266
| 1126.68
| 1026.36
|  
|  
| [[182/95]], [[228/119]], [[23/12]], 232/121, 140/73, [[190/99]], ''119/62''
| [[132/73]], [[208/115]], [[123/68]], [[38/21]], [[105/58]]
|-
|-
| 293
| 267
| 1130.54
| 1030.22
|  
|  
| [[48/25]], [[121/63]], 73/38, [[98/51]], '''[[123/64]]''', 148/77, [[25/13]]
| [[154/85]], '''[[29/16]]''', [[136/75]], [[49/27]]
|-
|-
| 294
| 268
| 1134.4
| 1034.08
|  
|  
| 202/105, [[77/40]], [[52/27]], 210/109
| ''[[216/119]]'', [[69/38]], [[89/49]], [[198/109]], [[109/60]], [[20/11]]
|-
|-
| 295
| 269
| 1138.26
| 1037.94
|  
|  
| [[27/14]], 218/113, 164/85, [[110/57]], 222/115, 56/29, 226/117, [[85/44]]
| [[202/111]], [[91/50]], [[162/89]], [[224/123]], [[51/28]], [[184/101]], [[82/45]], [[113/62]]
|-
|-
| 296
| 270
| 1142.12
| 1041.8
| sd8
| [[230/119]], 29/15, [[234/121]], [[176/91]], 89/46, 238/123, 60/31
|-
| 297
| 1145.98
|  
|  
| [[184/95]], '''[[31/16]]''', [[126/65]], [[95/49]], '''[[64/33]]''', 196/101
| [[31/17]], [[104/57]], [[73/40]], [[115/63]], [[42/23]], [[95/52]], [[148/81]], ''[[170/93]]''
|-
|-
| 298
| 271
| 1149.83
| 1045.65
|  
|  
| [[33/17]], 101/52, [[68/35]], [[35/18]]
| '''[[117/64]]''', '''[[64/35]]''', [[75/41]], [[119/65]]
|-
|-
| 299
| 272
| 1153.69
| 1049.51
|  
|  
| 72/37, 109/56, 146/75, 220/113, 37/19, [[224/115]], [[150/77]], 113/58, [[76/39]]
| [[174/95]], [[218/119]], [[11/6]], [[222/121]], [[200/109]]
|-
|-
| 300
| 273
| 1157.55
| 1053.37
| N7
| ''[[156/85]]'', [[101/55]], [[90/49]], [[226/123]], [[68/37]], [[182/99]], [[57/31]], [[160/87]]
|-
| 274
| 1057.23
|  
|  
| 232/119, [[39/20]], 80/41, 121/62, 41/21, ''170/87''
| [[46/25]], [[208/113]], [[81/44]], [[116/63]], [[186/101]], [[35/19]], [[164/89]]
|-
|-
| 301
| 275
| 1161.41
| 1061.09
|  
|  
| 174/89, [[88/45]], 178/91, [[45/23]], 182/93
| [[24/13]], [[85/46]]
|-
|-
| 302
| 276
| 1165.27
| 1064.95
|  
|  
| ''186/95'', [[96/49]], [[49/25]], 198/101, [[100/51]], [[51/26]]
| [[220/119]], [[37/20]], [[224/121]], [[50/27]]
|-
|-
| 303
| 277
| 1169.13
| 1068.81
| sA7
|  
| [[108/55]], 218/111, [[55/28]], 222/113, [[112/57]], 226/115, 57/29, [[230/117]], ''238/121''
| [[176/95]], [[63/34]], [[202/109]], [[76/41]], [[89/48]], [[102/55]], [[115/62]], '''[[128/69]]'''
|-
|-
| 304
| 278
| 1172.99
| 1072.66
|  
|  
| ''234/119'', 242/123, 124/63, '''[[63/32]]''', '''[[128/65]]''', [[65/33]], [[136/69]]
| [[13/7]], [[210/113]], [[184/99]], '''[[119/64]]'''
|-
|-
| 305
| 279
| 1176.84
| 1076.52
|  
|  
| [[69/35]], 144/73, 73/37, 148/75, [[75/38]], [[152/77]], [[77/39]], [[160/81]]
| ''[[93/50]]'', [[121/65]], [[54/29]], [[95/51]], [[136/73]], [[218/117]], [[41/22]]
|-
|-
| 306
| 280
| 1180.7
| 1080.38
|  
|  
| ''81/41'', [[168/85]], 87/44, 176/89, 89/45, [[180/91]], [[91/46]], 184/93, [[95/48]], [[196/99]], ''200/101''
| [[69/37]], [[222/119]], [[28/15]], [[226/121]], [[170/91]]
|-
| 281
| 1084.24
| d8
| [[230/123]], [[144/77]], [[101/54]], [[58/31]], [[204/109]], [[73/39]]
|-
|-
| 307
| 282
| 1184.56
| 1088.1
|  
|  
| ''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
| [[178/95]], [[208/111]], '''[[15/8]]''', [[152/81]]
|-
|-
| 308
| 283
| 1188.42
| 1091.96
|  
|  
| [[92/49]], [[77/41]], [[216/115]], [[62/33]], [[109/58]], [[220/117]], ''[[190/101]]''
|-
| 284
| 1095.81
|  
|  
| '''[[32/17]]''', [[113/60]], [[130/69]], [[228/121]], [[49/26]], [[164/87]]
|-
|-
| 309
| 285
| 1192.28
| 1099.67
|  
|  
| [[66/35]], [[232/123]], [[117/62]], [[168/89]], [[17/9]]
|-
| 286
| 1103.53
|  
|  
| [[138/73]], '''[[121/64]]''', [[104/55]], [[87/46]], [[70/37]], [[123/65]], [[176/93]]
|-
|-
| 310
| 287
| 1196.14
| 1107.39
|
| [[36/19]], [[218/115]], [[91/48]], [[146/77]], [[55/29]], [[74/39]]
|-
| 288
| 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]]
|-
|-
| 311
| 291
| 1200.0
| 1122.82
| P8
|  
| '''2/1'''
| [[216/113]], [[65/34]], [[174/91]], [[109/57]], [[44/23]], [[111/58]], [[178/93]], [[224/117]]
|}
 
== Notation ==
=== Sagittal notation ===
[[Sagittal notation]]. It uses alterations of the Promethian set. Since the apotome can be split in two, a half-sharp and a half-flat may be used.
 
{| class="wikitable center-all"
|-
|-
! colspan="2" | Steps
| 292
| 1
| 1126.68
| 2
|  
| 3
| [[182/95]], [[228/119]], [[23/12]], [[232/121]], [[140/73]], [[190/99]], ''[[119/62]]''
| 4
|-
| 5
| 293
| 6
| 1130.54
| 7
|  
| 8
| [[48/25]], [[121/63]], [[73/38]], [[98/51]], '''[[123/64]]''', [[148/77]], [[25/13]]
| 9
| 10
| 11
| 12
| 13
| 14
| 15
|-
|-
! rowspan="3" | Symbol
| 294
! Evo + <abbr title="half sharp">hs</abbr>
| 1134.4
| rowspan="3" | {{Sagittal| |( }}
|  
| rowspan="3" | {{Sagittal| )|( }}
| [[202/105]], [[77/40]], [[52/27]], [[210/109]]
| rowspan="3" | {{Sagittal| )~| }}
| rowspan="3" | {{Sagittal| ~|( }}
| rowspan="3" | {{Sagittal| ~~| }}
| rowspan="3" | {{Sagittal| /| }}
| rowspan="3" | {{Sagittal| |) }}
| rowspan="3" | {{Sagittal| |\ }}
| rowspan="3" | {{Sagittal| (| }}
| rowspan="3" | {{Sagittal| (|( }}
| rowspan="3" | {{Sagittal| ~|\ }}
| rowspan="3" | {{Sagittal| //| }}
| rowspan="3" | {{Sagittal| /|) }}
| rowspan="3" | {{Sagittal| /|\ }}
| {{Sagittal|t}}
|-
|-
! Evo
| 295
| rowspan="2" | {{Sagittal| )/|\ }}
| 1138.26
|  
| [[27/14]], [[218/113]], [[164/85]], [[110/57]], [[222/115]], [[56/29]], [[226/117]], [[85/44]]
|-
|-
! Revo
| 296
|-style="border-top: double;"
| 1142.12
! colspan="2" | Steps
| sd8
| 16
| [[230/119]], [[29/15]], [[234/121]], [[176/91]], [[89/46]], [[238/123]], [[60/31]]
| 17
| 18
| 19
| 20
| 21
| 22
| 23
| 24
| 25
| 26
| 27
| 28
| 29
| 30
|-
|-
! rowspan="3" | Symbol
| 297
! Evo + <abbr title="half sharp">hs</abbr>
| 1145.98
| {{Sagittal| |( }}{{sagittal|t}}
|  
| {{Sagittal| )|( }}{{sagittal|t}}
| [[184/95]], '''[[31/16]]''', [[126/65]], [[95/49]], '''[[64/33]]''', [[196/101]]
| {{Sagittal| )~| }}{{sagittal|t}}
| {{Sagittal| ~|( }}{{sagittal|t}}
| {{Sagittal| ~~| }}{{sagittal|t}}
| {{Sagittal| /| }}{{sagittal|t}}
| {{Sagittal| |) }}{{sagittal|t}}
| {{Sagittal| |\ }}{{sagittal|t}}
| {{Sagittal| (| }}{{sagittal|t}}
| {{Sagittal| (|( }}{{sagittal|t}}
| {{Sagittal| ~|\ }}{{sagittal|t}}
| {{Sagittal| //| }}{{sagittal|t}}
| {{Sagittal| /|) }}{{sagittal|t}}
| {{Sagittal| /|\ }}{{sagittal|t}}
| {{Sagittal|#}}
|-
|-
! Evo
| 298
| {{sagittal| \!/ }}{{sagittal|#}}
| 1149.83
| {{sagittal| \!) }}{{sagittal|#}}
|  
| {{sagittal| \\! }}{{sagittal|#}}
| [[33/17]], [[101/52]], [[68/35]], [[35/18]]
| {{sagittal| ~!/ }}{{sagittal|#}}
| {{sagittal| (!( }}{{sagittal|#}}
| {{sagittal| (! }}{{sagittal|#}}
| {{sagittal| !/ }}{{sagittal|#}}
| {{sagittal| !) }}{{sagittal|#}}
| {{sagittal| \! }}{{sagittal|#}}
| {{sagittal| ~~! }}{{sagittal|#}}
| {{sagittal| ~!( }}{{sagittal|#}}
| {{sagittal| )~! }}{{sagittal|#}}
| {{sagittal| )!( }}{{sagittal|#}}
| {{sagittal| !( }}{{sagittal|#}}
| {{sagittal|#}}
|-
|-
! Revo
| 299
| {{sagittal| (|) }}
| 1153.69
| {{sagittal| (|\ }}
|  
| {{sagittal| )||( }}
| [[72/37]], [[109/56]], [[146/75]], [[220/113]], [[37/19]], [[224/115]], [[150/77]], [[113/58]], [[76/39]]
| {{sagittal| )~|| }}
| {{sagittal| ~||( }}
| {{sagittal| )||~ }}
| {{sagittal| /|| }}
| {{sagittal| ||) }}
| {{sagittal| ||\ }}
| {{sagittal| ~||) }}
| {{sagittal| (||( }}
| {{sagittal| ~||\ }}
| {{sagittal| //|| }}
| {{sagittal| /||) }}
| {{sagittal| /||\ }}
|}
 
=== Syntonic-rastmic subchroma notation ===
[[Syntonic-rastmic subchroma notation]] in textual form.
{| class="wikitable center-all"
|-
|-
! Steps
| 300
| 1
| 1157.55
| 2
|  
| 3
| [[232/119]], [[39/20]], [[80/41]], [[121/62]], [[41/21]], ''[[170/87]]''
| 4
|-
| 5
| 301
| 6
| 1161.41
| 7
|  
| 8
| [[174/89]], [[88/45]], [[178/91]], [[45/23]], [[182/93]]
| 9
| 10
| 11
| 12
| 13
| 14
| 15
|-
|-
! Symbol
| 302
| >
| 1165.27
| /
|  
| />
| ''[[186/95]]'', [[96/49]], [[49/25]], [[198/101]], [[100/51]], [[51/26]]
| ↑\
|-
| ↑<
| 303
| ↑
| 1169.13
| ↑>
| sA7
| ↑/
| [[108/55]], [[218/111]], [[55/28]], [[222/113]], [[112/57]], [[226/115]], [[57/29]], [[230/117]], ''[[238/121]]''
| ↑/>
|-
| ↑↑\
| 304
| ↑↑<
| 1172.99
| ↑↑
|  
| ↑↑>
| ''[[234/119]]'', [[242/123]], [[124/63]], '''[[63/32]]''', '''[[128/65]]''', [[65/33]], [[136/69]]
| t<
|-
| t
| 305
|-style="border-top: double;"
| 1176.84
! Steps
|  
| 16
| [[69/35]], [[144/73]], [[73/37]], [[148/75]], [[75/38]], [[152/77]], [[77/39]], [[160/81]]
| 17
|-
| 18
| 306
| 19
| 1180.7
| 20
|  
| 21
| ''[[81/41]]'', [[168/85]], [[87/44]], [[176/89]], [[89/45]], [[180/91]], [[91/46]], [[184/93]], [[95/48]], [[196/99]], ''[[200/101]]''
| 22
|-
| 23
| 307
| 24
| 1184.56
| 25
|  
| 26
| ''[[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]]
| 27
| 28
| 29
| 30
|-
|-
! Symbol
| 308
| t>
| 1188.42
| #↓↓<
|
| #↓↓
|
| #↓↓>
|-
| #↓↓/
| 309
| #↓\<
| 1192.28
| #↓\
|  
| #↓<
|  
| #↓
|-
| #↓>
| 310
| #↓/
| 1196.14
| #\<
|  
| #\
|  
| #<
|-
| #
| 311
| 1200.0
| P8
| '''[[2/1]]'''
|}
|}
<references group="note" />


=== Ups and downs notation ===
== Regular temperament properties ==
[[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.
{| class="wikitable center-4 center-5 center-6"
 
{| class="wikitable center-all"
|-
|-
! Steps
! rowspan="2" | [[Subgroup]]
| 1
! rowspan="2" | [[Comma list]]
| 2
! rowspan="2" | [[Mapping]]
| 3
! rowspan="2" | Optimal<br>8ve stretch (¢)
| 4
! colspan="2" | Tuning error
| 5
| 6
| 7
| 8
| 9
| 10
| 11
| 12
| 13
| 14
| 15
|-
|-
! Symbol
! [[TE error|Absolute]] (¢)
| ^1
! [[TE simple badness|Relative]] (%)
| ^^1
| ^^^1
| v>1
| >1
| ^>1
| ^^>1
| ^^^>1<br><<<m2
| v>>1<br>^<<<m2
| >>1<br>vvv<<m2
| ^>>1<br>vv<<m2
| ^^>>1<br>v<<m2
| ^^^>>1<br><<m2
| v>>>1<br>^<<m2
| >>>1<br>vvv<m2
|-style="border-top: double;"
! Steps
| 16
| 17
| 18
| 19
| 20
| 21
| 22
| 23
| 24
| 25
| 26
| 27
| 28
| 29
| 30
|-
|-
! Symbol
| 2.3
| ^<<<A1<br>vv<m2
| {{monzo| 493 -311 }}
| vvv<<A1<br>v<m2
| {{mapping| 311 493 }}
| vv<<A1<br><m2
| −0.0933
| v<<A1<br>^<m2
| 0.0933
| <<A1<br>vvvm2
| 2.42
| ^<<A1<br>vvm2
| vvv<A1<br>vm2
| vv<A1<br>m2
| v<A1<br>^m2
| <A1<br>^^m2
| ^<A1<br>^^^m2
| vvvA1<br>v>m2
| vvA1<br>>m2
| vA1<br>^>m2
| A1<br>^^>m2
|}
 
== JI approximation ==
=== Interval mappings ===
{{Q-odd-limit intervals|311|limit=41}}
 
=== Zeta peak index ===
{{ZPI
| zpi = 2293
| steps = 311.004029926555
| step size = 3.85847090239759
| tempered height = 13.066467
| pure height = 13.040875
| integral = 1.895394
| gap = 22.370880
| octave = 1199.98445064565
| consistent = 42
| distinct = 25
}}
 
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
|-
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
| 2.3
| {{monzo| 493 -311 }}
| {{mapping| 311 493 }}
| −0.0933
| 0.0933
| 2.42
|-
|-
| 2.3.5
| 2.3.5
Line 1,991: Line 1,902:
| 20\311
| 20\311
| 77.17
| 77.17
| 256/245, 23/22
| 23/22
| [[Tertiaseptal]] / tertiaseptia
| [[Tertiaseptal]] / tertiaseptia
|-
|-
Line 1,999: Line 1,910:
| 21/20
| 21/20
| [[Amicable]] / amical / amorous
| [[Amicable]] / amical / amorous
|-
| 1
| 26\311
| 100.32
| 675/637
| [[Heptacot]]
|-
|-
| 1
| 1
Line 2,072: Line 1,989:
| [[Vydubychi]]
| [[Vydubychi]]
|}
|}
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if 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


=== Commas ===
=== Commas ===
Line 2,078: Line 1,995:


== Scales ==
== Scales ==
=== MOS scales ===
''See: [[User:BudjarnLambeth/311edo MOS scales]].''
=== Mode 16 of the harmonic series ===
311edo accurately approximates the mode 16 of [[harmonic series]].
311edo accurately approximates the mode 16 of [[harmonic series]].


Line 2,089: Line 2,010:
! 20
! 20
! 21
! 21
! 22
! 22
! 23
! 23
! 24
! 24
|-
|-
! JI ratios
! JI ratios
| 1/1
| 1/1
| 17/16
| 17/16
| 9/8
| 9/8
| 19/16
| 19/16
| 5/4
| 5/4
| 21/16
| 21/16
| 11/8
| 11/8
| 23/16
| 23/16
| 3/2
| 3/2
|-
|-
! …in cents
! …in cents
| 0
| 0
| 104.955
| 104.955
| 203.910
| 203.910
| 297.513
| 297.513
| 386.314
| 386.314
| 470.781
| 470.781
| 551.318
| 551.318
| 628.274
| 628.274
| 701.955
| 701.955
|-
|-
! Degrees in 87edo
! Degrees in 311edo
| 0
| 0
| 27
| 27
Line 2,214: Line 2,135:
== External links ==
== External links ==
* [http://tonalsoft.com/enc/g/gene.aspx gene, 311-edo] on [[Tonalsoft Encyclopedia]]
* [http://tonalsoft.com/enc/g/gene.aspx gene, 311-edo] on [[Tonalsoft Encyclopedia]]
== Notes ==
<references group="note" />


== References ==
== References ==


[[Category:Listen]]
[[Category:Listen]]
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