@@ Line 5: / Line 5: @@
 == Theory ==
-edo 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]] ({{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, are tuned more closely than they are mistuned. (Prime 73 is also unusually accurate, more so than all smaller primes.) As a result, all ratios among those harmonics are mapped consistently, with a maximum error of about 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 smallest edo that has a higher [[consistency limit]] is [[17461edo|17461]], being consistent in the [[45-odd-limit]], though one may prefer [[20567edo|20567]], as it is consistent in the [[57-odd-limit]].
+edo 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 is also the smallest edo that is [[purely consistent]] on all the first 32 harmonics (in this case, up to the 42nd harmonic). The next edo with less relative error is [[16808edo|16808]]. The smallest edo purely consistent on the first 64 harmonics is [[3159811edo|3159811]].
+edo 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]].
-Although it 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.
+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 coincidentally above the melodic [[just-noticeable difference]], which only affirms its efficiency of interval representation.
+edo 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 ===
 {{Harmonics in equal|311|prec=3|columns=13}}
-{{Harmonics in equal|311|prec=3|columns=12|start=14|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 ===
-edo is the 64th [[prime edo]].
+edo 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>.
 == 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 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.
+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 for the first three edosteps and the unison. The rest of the table is algorithmically generated.
-=== Interval table ===
+<div style="text-align: center;">
-{| class="mw-collapsible mw-collapsed wikitable center-1 center-2 center-3"
+{| class="wikitable"
-|+ style="font-size: 105%; white-space: nowrap;" | Table of 311edo intervals
 |-
-! #
+! colspan="2" | '''+ edosteps'''
-! Cents
+! 1
-! Marks
+! 2
-! Approximate Intervals<ref group="note">Odd harmonics and subharmonics are in bold and linked, inconsistent intervals in italics, all [[23-limit]] intervals linked)</ref>
+! 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
 |-
-| 0
+| rowspan="3" | Symbol
-| 0.0
+| SZ
-| P1
+| rowspan="3" | <big>{{sagittal||(}}</big>
-| '''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]]''
+| 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>
+|-
+| Evo
+| rowspan="2" | <big>{{Sagittal|)/|\}}</big>
+| <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|!(}}{{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
-| 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
-| 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
-| 11.57
-|
-| [[169/168|S13 = 169/168]], [[144/143|S12 = 144/143]], 171/170
-|-
 | 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
-| 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
-| 23.15
+| 7
-|
-| [[81/80]], [[78/77]], [[77/76]], [[76/75]], 75/74, 74/73, 73/72, [[70/69]]
-|-
-| 7
-| 27.0
-|
-| [[69/68]], [[66/65]], '''[[65/64]]''', '''[[64/63]]''', 63/62, 123/121, ''119/117''
-|-
 | 8
-| 30.86
-| sd2
-| ''121/119'', [[117/115]], 58/57, 115/113, [[57/56]], 113/111, [[56/55]], 111/109, [[55/54]]
-|-
 | 9
-| 34.72
-|
-| [[52/51]], [[51/50]], 101/99, [[50/49]], [[49/48]], ''95/93''
-|-
 | 10
-| 38.58
-|
-| 93/91, [[46/45]], 91/89, [[45/44]], 89/87
-|-
 | 11
-| 42.44
-|
-| ''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
-| 50.16
-|
-| [[36/35]], [[35/34]], 104/101, [[34/33]]
-|-
 | 14
-| 54.01
-|
-| 101/98, '''[[33/32]]''', [[98/95]], [[65/63]], '''[[32/31]]''', [[95/92]]
-|-
 | 15
-| 57.87
+| 16
-| sA1
-| 31/30, 123/119, 92/89, [[91/88]], [[121/117]], 30/29, [[119/115]]
-|-
-| 16
-| 61.73
-|
-| [[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
-| 69.45
-|
-| [[26/25]], 77/74, '''[[128/123]]''', [[51/49]], 76/73, [[126/121]], [[25/24]]
-|-
 | 19
-| 73.31
-|
-| ''124/119'', [[99/95]], 73/70, 121/116, [[24/23]], [[119/114]], [[95/91]]
-|-
 | 20
-| 77.17
-|
-| [[117/112]], 93/89, 116/111, [[23/22]], 114/109, 91/87, [[68/65]], 113/108
-|-
 | 21
-| 81.02
-|
-| 89/85, [[22/21]], 109/104, 65/62, ''85/81''
-|-
 | 22
-| 84.88
-|
-| [[21/20]], [[104/99]], 41/39
-|-
 | 23
-| 88.74
-| m2
-| [[81/77]], 101/96, [[121/115]], [[20/19]], 119/113, 98/93
-|-
 | 24
-| 92.6
-|
-| 39/37, 58/55, 77/73, [[96/91]], 115/109, [[19/18]]
-|-
 | 25
-| 96.46
-|
-| 93/88, 130/123, 37/35, 92/87, [[55/52]], '''[[128/121]]''', 73/69
-|-
 | 26
-| 100.32
-|
-| [[18/17]], 89/84, 124/117, 123/116, [[35/33]]
-|-
 | 27
-| 104.18
-|
-| 87/82, [[52/49]], [[121/114]], [[69/65]], 120/113, '''[[17/16]]'''
-|-
 | 28
-| 108.03
-|
-| ''101/95'', [[117/110]], 116/109, 33/31, [[115/108]], 82/77, [[49/46]]
-|-
 | 29
-| 111.89
-|
-| [[81/76]], '''[[16/15]]''', 111/104, 95/89
-|-
 | 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]]
+| #\
-|-
+| #<
-| 37
+| #
-| 142.76
+|}
-|
+</div>
-| 89/82, [[38/35]], 101/93, 63/58, [[88/81]], 113/104, [[25/23]]
-|-
+=== Ups and downs notation ===
-| 38
+[[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.
-| 146.62
-| N2
+{{Ups and downs sharpness|311|true}}
-| 87/80, 62/57, [[99/91]], 37/34, 123/113, [[49/45]], 110/101, ''85/78''
+== JI approximation ==
+=== 41-odd-limit interval mappings ===
+{{Q-odd-limit intervals|311|limit=41}}
+=== Higher-limit JI ===
+edo 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
 |-
-| 39
+! #
-| 150.48
+! Cents
-|
+! Marks
-| 109/100, 121/111, [[12/11]], 119/109, 95/87
+! Approximate Intervals<ref group="note">Odd harmonics and subharmonics are in '''bold''', inconsistent intervals in ''italics''</ref>
 |-
-| 40
+| 0
-| 154.34
+| 0.0
-|
+| P1
-| [[130/119]], 82/75, '''[[35/32]]''', '''[[128/117]]'''
+| '''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]]''
 |-
-| 41
+| 1
-| 158.19
+| 3.85
 |
-| ''93/85'', 81/74, [[104/95]], [[23/21]], [[126/115]], 80/73, [[57/52]], 34/31
+| ''[[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]]''
 |-
-| 42
+| 2
-| 162.05
+| 7.71
 |
-| 124/113, 45/41, 101/92, [[56/51]], 123/112, 89/81, [[100/91]], 111/101
+| ''[[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]]''
 |-
-| 43
+| 3
-| 165.91
+| 11.57
 |
-| [[11/10]], 120/109, 109/99, 98/89, [[76/69]], ''119/108''
+| [[169/168|S13 = 169/168]], [[144/143|S12 = 144/143]], [[171/170]]
 |-
-| 44
+| 4
-| 169.77
+| 15.43
 |
-| [[54/49]], [[75/68]], '''[[32/29]]''', [[85/77]]
+| [[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]]''
 |-
-| 45
+| 5
-| 173.63
+| 19.29
 |
-| 116/105, [[21/19]], 136/123, [[115/104]], 73/66
+| ''[[101/100]]'', [[99/98]], [[96/95]], [[93/92]], [[92/91]], [[91/90]], [[90/89]], [[89/88]], [[88/87]], [[85/84]], ''[[82/81]]''
 |-
-| 46
+| 6
-| 177.49
+| 23.15
-| d3
+|
-| 31/28, [[72/65]], 113/102, 41/37, [[51/46]], 112/101
+| [[81/80]], [[78/77]], [[77/76]], [[76/75]], [[75/74]], [[74/73]], [[73/72]], [[70/69]]
 |-
-| 47
+| 7
-| 181.35
+| 27.0
 |
-| [[132/119]], 81/73, 91/82, 101/91, 111/100, 121/109, [[10/9]]
+| [[69/68]], [[66/65]], '''[[65/64]]''', '''[[64/63]]''', [[63/62]], [[123/121]], ''[[119/117]]''
 |-
-| 48
+| 8
-| 185.2
+| 30.86
-|
+| sd2
-| 109/98, 99/89, 89/80, 69/62, '''[[128/115]]''', [[49/44]]
+| ''[[121/119]]'', [[117/115]], [[58/57]], [[115/113]], [[57/56]], [[113/111]], [[56/55]], [[111/109]], [[55/54]]
 |-
-| 49
+| 9
-| 189.06
+| 34.72
 |
-| [[39/35]], 126/113, 29/26, [[77/69]]
+| [[52/51]], [[51/50]], [[101/99]], [[50/49]], [[49/48]], ''[[95/93]]''
 |-
-| 50
+| 10
-| 192.92
+| 38.58
 |
-| 124/111, [[19/17]], 123/110, 104/93, [[85/76]], 113/101
+| [[93/91]], [[46/45]], [[91/89]], [[45/44]], [[89/87]]
 |-
-| 51
+| 11
-| 196.78
+| 42.44
 |
-| [[28/25]], [[121/108]], 65/58, [[102/91]], 37/33
+| ''[[87/85]]'', [[42/41]], [[124/121]], [[41/40]], [[40/39]], [[119/116]]
 |-
-| 52
+| 12
-| 200.64
+| 46.3
 |
-| 46/41, 101/90, [[55/49]], '''[[64/57]]''', 73/65, 82/73, [[91/81]], 100/89, [[136/121]]
+| [[39/38]], [[116/113]], [[77/75]], [[115/112]], [[38/37]], [[113/110]], [[75/73]], [[112/109]], [[37/36]]
 |-
-| 53
+| 13
-| 204.5
+| 50.16
-| M2
+|
-| '''[[9/8]]''', 98/87
+| [[36/35]], [[35/34]], [[104/101]], [[34/33]]
 |-
-| 54
+| 14
-| 208.36
+| 54.01
 |
-| 62/55, [[115/102]], [[44/39]], 123/109, 114/101, 35/31
+| [[101/98]], '''[[33/32]]''', [[98/95]], [[65/63]], '''[[32/31]]''', [[95/92]]
 |-
-| 55
+| 15
-| 212.21
+| 57.87
-|
+| sA1
-| [[96/85]], 87/77, 113/100, [[26/23]], [[95/84]], [[112/99]]
+| [[31/30]], [[123/119]], [[92/89]], [[91/88]], [[121/117]], [[30/29]], [[119/115]]
 |-
-| 56
+| 16
-| 216.07
+| 61.73
 |
-| [[77/68]], 111/98, '''[[128/113]]''', [[17/15]]
+| [[88/85]], [[117/113]], [[29/28]], [[115/111]], [[57/55]], [[85/82]], [[113/109]], [[28/27]]
 |-
-| 57
+| 17
-| 219.93
+| 65.59
 |
-| ''93/82'', 101/89, 42/37, 109/96, [[92/81]], [[25/22]]
+| [[109/105]], [[27/26]], [[80/77]], [[105/101]]
 |-
-| 58
+| 18
-| 223.79
+| 69.45
 |
-| [[108/95]], 58/51, [[91/80]], 124/109, 33/29, 140/123, 74/65, 115/101, 41/36
+| [[26/25]], [[77/74]], '''[[128/123]]''', [[51/49]], [[76/73]], [[126/121]], [[25/24]]
 |-
-| 59
+| 19
-| 227.65
+| 73.31
 |
-| [[57/50]], [[65/57]], [[138/121]], '''[[73/64]]''', 89/78, [[105/92]], 113/99
+| ''[[124/119]]'', [[99/95]], [[73/70]], [[121/116]], [[24/23]], [[119/114]], [[95/91]]
 |-
-| 60
+| 20
-| 231.51
+| 77.17
 |
-| '''[[8/7]]''', [[119/104]]
+| [[117/112]], [[93/89]], [[116/111]], [[23/22]], [[114/109]], [[91/87]], [[68/65]], [[113/108]]
 |-
-| 61
+| 21
-| 235.36
+| 81.02
-| sd3
+|
-| 87/76, [[63/55]], [[55/48]], 102/89
+| [[89/85]], [[22/21]], [[109/104]], [[65/62]], ''[[85/81]]''
 |-
-| 62
+| 22
-| 239.22
+| 84.88
 |
-| [[39/34]], 109/95, 101/88, [[132/115]], 31/27, 116/101, 85/74, 100/87
+| [[21/20]], [[104/99]], [[41/39]]
 |-
-| 63
+| 23
-| 243.08
+| 88.74
-|
+| m2
-| [[23/20]], 130/113, 84/73, [[38/33]]
+| [[81/77]], [[101/96]], [[121/115]], [[20/19]], [[119/113]], [[98/93]]
 |-
-| 64
+| 24
-| 246.94
+| 92.6
 |
-| [[121/105]], [[98/85]], 113/98, '''[[128/111]]''', [[15/13]]
+| [[39/37]], [[58/55]], [[77/73]], [[96/91]], [[115/109]], [[19/18]]
 |-
-| 65
+| 25
-| 250.8
+| 96.46
 |
-| [[52/45]], 89/77, 126/109, '''[[37/32]]''', [[140/121]]
+| [[93/88]], [[130/123]], [[37/35]], [[92/87]], [[55/52]], '''[[128/121]]''', [[73/69]]
 |-
-| 66
+| 26
-| 254.66
+| 100.32
 |
-| ''81/70'', [[22/19]], 117/101, 95/82, 73/63, [[51/44]], [[80/69]]
+| [[18/17]], [[89/84]], [[124/117]], [[123/116]], [[35/33]]
 |-
-| 67
+| 27
-| 258.52
+| 104.18
 |
-| ''138/119'', 29/25, [[65/56]], 101/87, 36/31, [[115/99]], ''136/117''
+| [[87/82]], [[52/49]], [[121/114]], [[69/65]], [[120/113]], '''[[17/16]]'''
 |-
-| 68
+| 28
-| 262.37
+| 108.03
-| sA2
-| 93/80, [[57/49]], [[121/104]], '''[[64/55]]''', 85/73
-|-
-| 69
-| 266.23
 |
-| ''99/85'', [[7/6]]
+| ''[[101/95]]'', [[117/110]], [[116/109]], [[33/31]], [[115/108]], [[82/77]], [[49/46]]
 |-
-| 70
+| 29
-| 270.09
+| 111.89
 |
-| 132/113, 111/95, 104/89, [[90/77]], [[76/65]]
+| [[81/76]], '''[[16/15]]''', [[111/104]], [[95/89]]
 |-
-| 71
+| 30
-| 273.95
+| 115.75
+| A1
+| [[78/73]], [[109/102]], [[31/29]], [[108/101]], [[77/72]], [[123/115]]
+|-
+| 31
+| 119.61
 |
-| ''117/100'', 48/41, 89/76, 130/111, 41/35, 116/99, '''[[75/64]]''', 109/93, 34/29, ''95/81''
+| [[91/85]], [[121/113]], [[15/14]], [[119/111]], [[74/69]]
 |-
-| 72
+| 32
-| 277.81
+| 123.47
 |
-| [[88/75]], [[115/98]], [[27/23]], '''[[128/109]]''', 74/63
+| [[44/41]], [[117/109]], [[73/68]], [[102/95]], [[29/27]], [[130/121]], ''[[100/93]]''
 |-
-| 73
+| 33
-| 281.67
+| 127.33
 |
-| 87/74, [[20/17]], 113/96, 73/62, ''119/101''
+| '''[[128/119]]''', [[99/92]], [[113/105]], [[14/13]]
 |-
-| 74
+| 34
-| 285.53
+| 131.18
 |
-| [[33/28]], [[112/95]], [[46/39]], 105/89, [[85/72]]
+| '''[[69/64]]''', [[124/115]], [[55/51]], [[96/89]], [[41/38]], [[109/101]], [[68/63]], [[95/88]]
 |-
-| 75
+| 35
-| 289.38
+| 135.04
 |
-| 124/105, [[13/11]], [[136/115]], 123/104, 110/93
+| [[27/25]], [[121/112]], [[40/37]], [[119/110]]
 |-
-| 76
+| 36
-| 293.24
+| 138.9
-| m3
-| 58/49, [[45/38]], [[77/65]], 109/92, '''[[32/27]]'''
-|-
-| 77
-| 297.1
 |
-| [[121/102]], 89/75, [[108/91]], 146/123, '''[[19/16]]''', 120/101, 82/69
+| [[92/85]], [[13/12]]
 |-
-| 78
+| 37
-| 300.96
+| 142.76
 |
-| ''101/85'', 44/37, 113/95, 69/58, [[119/100]], [[144/121]], [[25/21]]
+| [[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]]''
 |-
-| 79
+| 39
-| 304.82
+| 150.48
 |
-| ''81/68'', 87/73, 31/26, 130/109, [[68/57]], [[105/88]], 37/31
+| [[109/100]], [[121/111]], [[12/11]], [[119/109]], [[95/87]]
 |-
-| 80
+| 40
-| 308.68
+| 154.34
 |
-| [[117/98]], [[92/77]], 49/41, 104/87, [[55/46]], ''140/117''
+| [[130/119]], [[82/75]], '''[[35/32]]''', '''[[128/117]]'''
 |-
-| 81
+| 41
-| 312.54
+| 158.19
 |
-| [[91/76]], 109/91, [[115/96]], 121/101
+| ''[[93/85]]'', [[81/74]], [[104/95]], [[23/21]], [[126/115]], [[80/73]], [[57/52]], [[34/31]]
 |-
-| 82
+| 42
-| 316.39
+| 162.05
 |
-| [[6/5]], ''119/99''
+| [[124/113]], [[45/41]], [[101/92]], [[56/51]], [[123/112]], [[89/81]], [[100/91]], [[111/101]]
 |-
-| 83
+| 43
-| 320.25
+| 165.91
-| A2
+|
-| 101/84, 89/74, '''[[77/64]]''', 148/123, 136/113, [[65/54]], 112/93
+| [[11/10]], [[120/109]], [[109/99]], [[98/89]], [[76/69]], ''[[119/108]]''
 |-
-| 84
+| 44
-| 324.11
+| 169.77
 |
-| 88/73, 41/34, [[76/63]], 111/92, 146/121, 35/29
+| [[54/49]], [[75/68]], '''[[32/29]]''', [[85/77]]
 |-
-| 85
+| 45
-| 327.97
+| 173.63
 |
-| 99/82, 93/77, 29/24, [[110/91]], 75/62, [[98/81]]
+| [[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]]
 |-
-| 86
+| 47
-| 331.83
+| 181.35
 |
-| [[121/100]], [[144/119]], [[23/19]], 132/109, 109/90, [[63/52]], [[40/33]]
+| [[132/119]], [[81/73]], [[91/82]], [[101/91]], [[111/100]], [[121/109]], [[10/9]]
 |-
-| 87
+| 48
-| 335.69
+| 185.2
 |
-| [[91/75]], 108/89, [[17/14]], 113/93
+| [[109/98]], [[99/89]], [[89/80]], [[69/62]], '''[[128/115]]''', [[49/44]]
 |-
-| 88
+| 49
-| 339.54
+| 189.06
 |
-| 62/51, 45/37, 73/60, [[28/23]], 123/101, [[95/78]]
+| [[39/35]], [[126/113]], [[29/26]], [[77/69]]
 |-
-| 89
+| 50
-| 343.4
+| 192.92
 |
-| '''[[39/32]]''', '''[[128/105]]''', 89/73, 50/41, 111/91
+| [[124/111]], [[19/17]], [[123/110]], [[104/93]], [[85/76]], [[113/101]]
 |-
-| 90
+| 51
-| 347.26
+| 196.78
 |
-| 116/95, 138/113, [[11/9]], 148/121
+| [[28/25]], [[121/108]], [[65/58]], [[102/91]], [[37/33]]
 |-
-| 91
+| 52
-| 351.12
+| 200.64
-| N3
+|
-| [[104/85]], 93/76, [[60/49]], 109/89, [[49/40]], 136/111, 38/31
+| [[46/41]], [[101/90]], [[55/49]], '''[[64/57]]''', [[73/65]], [[82/73]], [[91/81]], [[100/89]], [[136/121]]
 |-
-| 92
+| 53
-| 354.98
+| 204.5
-|
+| M2
-| [[92/75]], 146/119, [[27/22]], 124/101, [[70/57]], 113/92
+| '''[[9/8]]''', [[98/87]]
 |-
-| 93
+| 54
-| 358.84
+| 208.36
 |
-| 91/74, 123/100, '''[[16/13]]''', ''85/69''
+| [[62/55]], [[115/102]], [[44/39]], [[123/109]], [[114/101]], [[35/31]]
 |-
-| 94
+| 55
-| 362.7
+| 212.21
 |
-| ''117/95'', 101/82, [[69/56]], 90/73, 37/30, [[95/77]], ''100/81''
+| [[96/85]], [[87/77]], [[113/100]], [[26/23]], [[95/84]], [[112/99]]
 |-
-| 95
+| 56
-| 366.55
+| 216.07
 |
-| [[121/98]], [[21/17]], 152/123, 110/89, 89/72, [[68/55]], 115/93
+| [[77/68]], [[111/98]], '''[[128/113]]''', [[17/15]]
 |-
-| 96
+| 57
-| 370.41
+| 219.93
 |
-| [[99/80]], [[26/21]], 109/88, 140/113, [[57/46]], [[119/96]], [[150/121]]
+| ''[[93/82]]'', [[101/89]], [[42/37]], [[109/96]], [[92/81]], [[25/22]]
 |-
-| 97
+| 58
-| 374.27
+| 223.79
 |
-| 31/25, 36/29, 113/91, 77/62, 41/33
+| [[108/95]], [[58/51]], [[91/80]], [[124/109]], [[33/29]], [[140/123]], [[74/65]], [[115/101]], [[41/36]]
 |-
-| 98
+| 59
-| 378.13
+| 227.65
 |
-| 87/70, 46/37, 148/119, 51/41, [[56/45]]
+| [[57/50]], [[65/57]], [[138/121]], '''[[73/64]]''', [[89/78]], [[105/92]], [[113/99]]
 |-
-| 99
+| 60
-| 381.99
+| 231.51
-| d4
-| [[81/65]], 91/73, [[96/77]], 101/81, 111/89, 116/93, 126/101, 136/109, 146/117
-|-
-| 100
-| 385.85
 |
-| '''[[5/4]]'''
+| '''[[8/7]]''', [[119/104]]
 |-
-| 101
+| 61
-| 389.71
+| 235.36
+| sd3
+| [[87/76]], [[63/55]], [[55/48]], [[102/89]]
+|-
+| 62
+| 239.22
 |
-| 154/123, [[144/115]], 124/99, [[119/95]], [[114/91]], 109/87
+| [[39/34]], [[109/95]], [[101/88]], [[132/115]], [[31/27]], [[116/101]], [[85/74]], [[100/87]]
 |-
-| 102
+| 63
-| 393.56
+| 243.08
 |
-| [[69/55]], '''[[64/51]]''', 123/98, 113/90, [[152/121]], [[49/39]]
+| [[23/20]], [[130/113]], [[84/73]], [[38/33]]
 |-
-| 103
+| 64
-| 397.42
+| 246.94
 |
-| 93/74, [[44/35]], 39/31, 112/89, 73/58, [[34/27]]
+| [[121/105]], [[98/85]], [[113/98]], '''[[128/111]]''', [[15/13]]
 |-
-| 104
+| 65
-| 401.28
+| 250.8
 |
-| [[63/50]], 92/73, [[121/96]], [[150/119]], 29/23, 140/111, 111/88, 82/65
+| [[52/45]], [[89/77]], [[126/109]], '''[[37/32]]''', [[140/121]]
 |-
-| 105
+| 66
-| 405.14
+| 254.66
 |
-| 101/80, [[24/19]], [[115/91]], [[91/72]], 110/87, 148/117
+| ''[[81/70]]'', [[22/19]], [[117/101]], [[95/82]], [[73/63]], [[51/44]], [[80/69]]
 |-
-| 106
+| 67
-| 409.0
+| 258.52
-| M3
+|
-| 62/49, '''[[81/64]]''', 138/109, [[19/15]], '''[[128/101]]'''
+| ''[[138/119]]'', [[29/25]], [[65/56]], [[101/87]], [[36/31]], [[115/99]], ''[[136/117]]''
 |-
-| 107
+| 68
-| 412.86
+| 262.37
+| sA2
+| [[93/80]], [[57/49]], [[121/104]], '''[[64/55]]''', [[85/73]]
+|-
+| 69
+| 266.23
 |
-| 52/41, [[33/26]], 146/115, 113/89, [[80/63]]
+| ''[[99/85]]'', [[7/6]]
 |-
-| 108
+| 70
-| 416.72
+| 270.09
 |
-| ''108/85'', 89/70, [[117/92]], [[14/11]]
+| [[132/113]], [[111/95]], [[104/89]], [[90/77]], [[76/65]]
 |-
-| 109
+| 71
-| 420.57
+| 273.95
 |
-| [[121/95]], 93/73, 144/113, [[65/51]], 116/91, [[51/40]], [[88/69]], 37/29
+| ''[[117/100]]'', [[48/41]], [[89/76]], [[130/111]], [[41/35]], [[116/99]], '''[[75/64]]''', [[109/93]], [[34/29]], ''[[95/81]]''
 |-
-| 110
+| 72
-| 424.43
+| 277.81
 |
-| [[152/119]], [[23/18]], ''119/93''
+| [[88/75]], [[115/98]], [[27/23]], '''[[128/109]]''', [[74/63]]
 |-
-| 111
+| 73
-| 428.29
+| 281.67
 |
-| 87/68, '''[[32/25]]''', 105/82, 73/57, 114/89, '''[[41/32]]''', [[50/39]]
+| [[87/74]], [[20/17]], [[113/96]], [[73/62]], ''[[119/101]]''
 |-
-| 112
+| 74
-| 432.15
+| 285.53
 |
-| 109/85, [[77/60]], 95/74, [[104/81]], 113/88, 140/109
+| [[33/28]], [[112/95]], [[46/39]], [[105/89]], [[85/72]]
 |-
-| 113
+| 75
-| 436.01
+| 289.38
 |
-| [[9/7]], 148/115, 130/101, 112/87, ''85/66''
+| [[124/105]], [[13/11]], [[136/115]], [[123/104]], [[110/93]]
 |-
-| 114
+| 76
-| 439.87
+| 293.24
-| sd4
+| m3
-| 58/45, [[156/121]], [[49/38]], 89/69, 40/31
+| [[58/49]], [[45/38]], [[77/65]], [[109/92]], '''[[32/27]]'''
 |-
-| 115
+| 77
-| 443.72
+| 297.1
 |
-| 31/24, 146/113, 115/89, [[84/65]], '''[[128/99]]''', 75/58, [[119/92]]
+| [[121/102]], [[89/75]], [[108/91]], [[146/123]], '''[[19/16]]''', [[120/101]], [[82/69]]
 |-
-| 116
+| 78
-| 447.58
+| 300.96
 |
-| [[22/17]], 123/95, 101/78, [[136/105]], [[57/44]], [[35/27]]
+| ''[[101/85]]'', [[44/37]], [[113/95]], [[69/58]], [[119/100]], [[144/121]], [[25/21]]
 |-
-| 117
+| 79
-| 451.44
+| 304.82
 |
-| 48/37, 109/84, 74/57, [[100/77]], 113/87, [[152/117]]
+| ''[[81/68]]'', [[87/73]], [[31/26]], [[130/109]], [[68/57]], [[105/88]], [[37/31]]
 |-
-| 118
+| 80
-| 455.3
+| 308.68
 |
-| [[13/10]], 160/123, 121/93, 95/73, 82/63
+| [[117/98]], [[92/77]], [[49/41]], [[104/87]], [[55/46]], ''[[140/117]]''
 |-
-| 119
+| 81
-| 459.16
+| 312.54
 |
-| [[99/76]], 116/89, 73/56, [[30/23]]
+| [[91/76]], [[109/91]], [[115/96]], [[121/101]]
 |-
-| 120
+| 82
-| 463.02
+| 316.39
 |
-| 124/95, 111/85, '''[[64/49]]''', 81/62, [[98/75]], [[115/88]], 132/101, [[17/13]]
+| [[6/5]], ''[[119/99]]''
 |-
-| 121
+| 83
-| 466.88
+| 320.25
-| sA3
+| A2
-| 89/68, [[72/55]], [[55/42]], 148/113, 38/29
+| [[101/84]], [[89/74]], '''[[77/64]]''', [[148/123]], [[136/113]], [[65/54]], [[112/93]]
 |-
-| 122
+| 84
-| 470.73
+| 324.11
 |
-| ''156/119'', 101/77, '''[[21/16]]''', [[130/99]]
+| [[88/73]], [[41/34]], [[76/63]], [[111/92]], [[146/121]], [[35/29]]
 |-
-| 123
+| 85
-| 474.59
+| 327.97
 |
-| [[46/35]], 117/89, 96/73, [[121/92]], 146/111, [[25/19]], [[154/117]]
+| [[99/82]], [[93/77]], [[29/24]], [[110/91]], [[75/62]], [[98/81]]
 |-
-| 124
+| 86
-| 478.45
+| 331.83
 |
-| 54/41, [[112/85]], 29/22, [[120/91]], [[91/69]], [[95/72]]
+| [[121/100]], [[144/119]], [[23/19]], [[132/109]], [[109/90]], [[63/52]], [[40/33]]
 |-
-| 125
+| 87
-| 482.31
+| 335.69
 |
-| [[33/25]], 144/109, 37/28, [[152/115]], 115/87, [[119/90]], [[160/121]], 41/31
+| [[91/75]], [[108/89]], [[17/14]], [[113/93]]
 |-
-| 126
+| 88
-| 486.17
+| 339.54
 |
-| [[45/34]], 49/37, [[102/77]]
+| [[62/51]], [[45/37]], [[73/60]], [[28/23]], [[123/101]], [[95/78]]
 |-
-| 127
+| 89
-| 490.03
+| 343.4
 |
-| [[126/95]], [[65/49]], [[69/52]], 73/55, 150/113, 77/58, '''[[85/64]]'''
+| '''[[39/32]]''', '''[[128/105]]''', [[89/73]], [[50/41]], [[111/91]]
 |-
-| 128
+| 90
-| 493.89
+| 347.26
 |
-| ''93/70'', 101/76, 109/82, 113/85, [[117/88]], [[121/91]]
+| [[116/95]], [[138/113]], [[11/9]], [[148/121]]
 |-
-| 129
+| 91
-| 497.74
+| 351.12
-| P4
+| N3
-| '''[[4/3]]'''
+| [[104/85]], [[93/76]], [[60/49]], [[109/89]], [[49/40]], [[136/111]], [[38/31]]
 |-
-| 130
+| 92
-| 501.6
+| 354.98
 |
-| 123/92, 119/89
+| [[92/75]], [[146/119]], [[27/22]], [[124/101]], [[70/57]], [[113/92]]
 |-
-| 131
+| 93
-| 505.46
+| 358.84
 |
-| 99/74, [[91/68]], 87/65, [[162/121]], [[154/115]], [[75/56]], 146/109
+| [[91/74]], [[123/100]], '''[[16/13]]''', ''[[85/69]]''
 |-
-| 132
+| 94
-| 509.32
+| 362.7
 |
-| [[114/85]], 55/41, [[51/38]], 98/73
+| ''[[117/95]]'', [[101/82]], [[69/56]], [[90/73]], [[37/30]], [[95/77]], ''[[100/81]]''
 |-
-| 133
+| 95
-| 513.18
+| 366.55
 |
-| [[121/90]], [[160/119]], 39/29, 152/113, 113/84, 74/55, 109/81, [[35/26]], 136/101
+| [[121/98]], [[21/17]], [[152/123]], [[110/89]], [[89/72]], [[68/55]], [[115/93]]
 |-
-| 134
+| 96
-| 517.04
+| 370.41
 |
-| 101/75, [[66/49]], '''[[128/95]]''', 31/23, 120/89, 89/66, [[85/63]]
+| [[99/80]], [[26/21]], [[109/88]], [[140/113]], [[57/46]], [[119/96]], [[150/121]]
 |-
-| 135
+| 97
-| 520.9
+| 374.27
 |
-| [[27/20]], [[104/77]], [[77/57]], 50/37, 123/91, 73/54, [[119/88]]
+| [[31/25]], [[36/29]], [[113/91]], [[77/62]], [[41/33]]
 |-
-| 136
+| 98
-| 524.75
+| 378.13
-| A3
-| [[23/17]], 111/82, [[88/65]], [[65/48]], 42/31, 164/121
-|-
-| 137
-| 528.61
 |
-| 99/73, [[156/115]], [[19/14]], 148/109, [[110/81]]
+| [[87/70]], [[46/37]], [[148/119]], [[51/41]], [[56/45]]
 |-
-| 138
+| 99
-| 532.47
+| 381.99
+| d4
+| [[81/65]], [[91/73]], [[96/77]], [[101/81]], [[111/89]], [[116/93]], [[126/101]], [[136/109]], [[146/117]]
+|-
+| 100
+| 385.85
 |
-| '''[[87/64]]''', 121/89, [[34/25]], [[49/36]]
+| '''[[5/4]]'''
 |-
-| 139
+| 101
-| 536.33
+| 389.71
 |
-| ''162/119'', 109/80, 124/91, 154/113, [[15/11]]
+| [[154/123]], [[144/115]], [[124/99]], [[119/95]], [[114/91]], [[109/87]]
 |-
-| 140
+| 102
-| 540.19
+| 393.56
 |
-| 116/85, 101/74, 56/41, 138/101, 41/30, [[160/117]], ''119/87''
+| [[69/55]], '''[[64/51]]''', [[123/98]], [[113/90]], [[152/121]], [[49/39]]
 |-
-| 141
+| 103
-| 544.05
+| 397.42
 |
-| ''93/68'', [[26/19]], [[115/84]], 89/65, 152/111, [[63/46]], 100/73, 37/27, ''85/62''
+| [[93/74]], [[44/35]], [[39/31]], [[112/89]], [[73/58]], [[34/27]]
 |-
-| 142
+| 104
-| 547.9
+| 401.28
 |
-| [[48/35]], [[70/51]], [[136/99]]
+| [[63/50]], [[92/73]], [[121/96]], [[150/119]], [[29/23]], [[140/111]], [[111/88]], [[82/65]]
 |-
-| 143
+| 105
-| 551.76
+| 405.14
 |
-| '''[[11/8]]''', 150/109, '''[[128/93]]''', [[95/69]]
+| [[101/80]], [[24/19]], [[115/91]], [[91/72]], [[110/87]], [[148/117]]
 |-
-| 144
+| 106
-| 555.62
+| 409.0
-| sA4
+| M3
-| ''117/85'', 62/45, 113/82, 164/119, 51/37, [[91/66]], 40/29
+| [[62/49]], '''[[81/64]]''', [[138/109]], [[19/15]], '''[[128/101]]'''
 |-
-| 145
+| 107
-| 559.48
+| 412.86
 |
-| [[69/50]], 156/113, 29/21, [[105/76]], [[76/55]], 123/89, 170/123, [[112/81]]
+| [[52/41]], [[33/26]], [[146/115]], [[113/89]], [[80/63]]
 |-
-| 146
+| 108
-| 563.34
+| 416.72
 |
-| 101/73, [[18/13]], ''140/101''
+| ''[[108/85]]'', [[89/70]], [[117/92]], [[14/11]]
 |-
-| 147
+| 109
-| 567.2
+| 420.57
 |
-| [[104/75]], 154/111, 111/80, [[68/49]], [[168/121]], [[25/18]]
+| [[121/95]], [[93/73]], [[144/113]], [[65/51]], [[116/91]], [[51/40]], [[88/69]], [[37/29]]
 |-
-| 148
+| 110
-| 571.06
+| 424.43
 |
-| [[132/95]], 57/41, 146/105, '''[[89/64]]''', 121/87, '''[[32/23]]'''
+| [[152/119]], [[23/18]], ''[[119/93]]''
 |-
-| 149
+| 111
-| 574.91
+| 428.29
 |
-| [[39/28]], 124/89, [[46/33]], 152/109, 113/81
+| [[87/68]], '''[[32/25]]''', [[105/82]], [[73/57]], [[114/89]], '''[[41/32]]''', [[50/39]]
 |-
-| 150
+| 112
-| 578.77
+| 432.15
 |
-| 81/58, [[88/63]], [[95/68]], 102/73, 109/78, 123/88, 130/93
+| [[109/85]], [[77/60]], [[95/74]], [[104/81]], [[113/88]], [[140/109]]
 |-
-| 151
+| 113
-| 582.63
+| 436.01
 |
-| [[7/5]], ''164/117''
+| [[9/7]], [[148/115]], [[130/101]], [[112/87]], ''[[85/66]]''
 |-
-| 152
+| 114
-| 586.49
+| 439.87
-| d5
+| sd4
-| 115/82, [[108/77]], 101/72, 87/62, [[80/57]], 73/52, ''170/121''
+| [[58/45]], [[156/121]], [[49/38]], [[89/69]], [[40/31]]
 |-
-| 153
+| 115
-| 590.35
+| 443.72
 |
-| 52/37, '''[[45/32]]''', '''[[128/91]]''', [[38/27]]
+| [[31/24]], [[146/113]], [[115/89]], [[84/65]], '''[[128/99]]''', [[75/58]], [[119/92]]
 |-
-| 154
+| 116
-| 594.21
+| 447.58
 |
-| [[69/49]], [[162/115]], 31/22, 148/105, [[55/39]]
+| [[22/17]], [[123/95]], [[101/78]], [[136/105]], [[57/44]], [[35/27]]
 |-
-| 155
+| 117
-| 598.07
+| 451.44
 |
-| [[24/17]], 113/80, 89/63, 154/109, [[65/46]], 41/29, [[140/99]]
+| [[48/37]], [[109/84]], [[74/57]], [[100/77]], [[113/87]], [[152/117]]
 |-
-| 156
+| 118
-| 601.92
+| 455.3
 |
-| [[99/70]], 58/41, [[92/65]], 109/77, 126/89, 160/113, [[17/12]]
+| [[13/10]], [[160/123]], [[121/93]], [[95/73]], [[82/63]]
 |-
-| 157
+| 119
-| 605.78
+| 459.16
 |
-| [[78/55]], 105/74, 44/31, [[115/81]], [[98/69]]
+| [[99/76]], [[116/89]], [[73/56]], [[30/23]]
 |-
-| 158
+| 120
-| 609.64
+| 463.02
 |
-| [[27/19]], '''[[91/64]]''', '''[[64/45]]''', 37/26
+| [[124/95]], [[111/85]], '''[[64/49]]''', [[81/62]], [[98/75]], [[115/88]], [[132/101]], [[17/13]]
 |-
-| 159
+| 121
-| 613.5
+| 466.88
-| A4
+| sA3
-| ''121/85'', 104/73, [[57/40]], 124/87, 144/101, [[77/54]], 164/115
+| [[89/68]], [[72/55]], [[55/42]], [[148/113]], [[38/29]]
 |-
-| 160
+| 122
-| 617.36
+| 470.73
 |
-| ''117/82'', [[10/7]]
+| ''[[156/119]]'', [[101/77]], '''[[21/16]]''', [[130/99]]
 |-
-| 161
+| 123
-| 621.22
+| 474.59
 |
-| 93/65, 176/123, 156/109, 73/51, [[136/95]], [[63/44]], 116/81
+| [[46/35]], [[117/89]], [[96/73]], [[121/92]], [[146/111]], [[25/19]], [[154/117]]
 |-
-| 162
+| 124
-| 625.08
+| 478.45
 |
-| 162/113, 109/76, [[33/23]], 89/62, [[56/39]]
+| [[54/41]], [[112/85]], [[29/22]], [[120/91]], [[91/69]], [[95/72]]
 |-
-| 163
+| 125
-| 628.93
+| 482.31
 |
-| '''[[23/16]]''', 174/121, '''[[128/89]]''', 105/73, 82/57, [[95/66]]
+| [[33/25]], [[144/109]], [[37/28]], [[152/115]], [[115/87]], [[119/90]], [[160/121]], [[41/31]]
 |-
-| 164
+| 126
-| 632.79
+| 486.17
 |
-| [[36/25]], [[121/84]], [[49/34]], 160/111, 111/77, [[75/52]]
+| [[45/34]], [[49/37]], [[102/77]]
 |-
-| 165
+| 127
-| 636.65
+| 490.03
 |
-| ''101/70'', [[13/9]], 146/101
+| [[126/95]], [[65/49]], [[69/52]], [[73/55]], [[150/113]], [[77/58]], '''[[85/64]]'''
 |-
-| 166
+| 128
-| 640.51
+| 493.89
 |
-| [[81/56]], 123/85, 178/123, [[55/38]], [[152/105]], 42/29, 113/78, [[100/69]]
+| ''[[93/70]]'', [[101/76]], [[109/82]], [[113/85]], [[117/88]], [[121/91]]
 |-
-| 167
+| 129
-| 644.37
+| 497.74
-| sd5
+| P4
-| 29/20, [[132/91]], 74/51, 119/82, 164/113, 45/31, ''170/117''
+| '''[[4/3]]'''
 |-
-| 168
+| 130
-| 648.23
+| 501.6
 |
-| [[138/95]], '''[[93/64]]''', 109/75, '''[[16/11]]'''
+| [[123/92]], [[119/89]]
 |-
-| 169
+| 131
-| 652.09
+| 505.46
 |
-| [[99/68]], [[51/35]], [[35/24]]
+| [[99/74]], [[91/68]], [[87/65]], [[162/121]], [[154/115]], [[75/56]], [[146/109]]
 |-
-| 170
+| 132
-| 655.94
+| 509.32
 |
-| ''124/85'', 54/37, 73/50, [[92/63]], 111/76, 130/89, [[168/115]], [[19/13]], ''136/93''
+| [[114/85]], [[55/41]], [[51/38]], [[98/73]]
 |-
-| 171
+| 133
-| 659.8
+| 513.18
 |
-| ''174/119'', [[117/80]], 60/41, 101/69, 41/28, 148/101, 85/58
+| [[121/90]], [[160/119]], [[39/29]], [[152/113]], [[113/84]], [[74/55]], [[109/81]], [[35/26]], [[136/101]]
 |-
-| 172
+| 134
-| 663.66
+| 517.04
 |
-| [[22/15]], 113/77, 91/62, 160/109, ''119/81''
+| [[101/75]], [[66/49]], '''[[128/95]]''', [[31/23]], [[120/89]], [[89/66]], [[85/63]]
 |-
-| 173
+| 135
-| 667.52
+| 520.9
 |
-| [[72/49]], [[25/17]], 178/121, '''[[128/87]]'''
+| [[27/20]], [[104/77]], [[77/57]], [[50/37]], [[123/91]], [[73/54]], [[119/88]]
 |-
-| 174
+| 136
-| 671.38
+| 524.75
+| A3
+| [[23/17]], [[111/82]], [[88/65]], [[65/48]], [[42/31]], [[164/121]]
+|-
+| 137
+| 528.61
 |
-| [[81/55]], 109/74, [[28/19]], [[115/78]], 146/99
+| [[99/73]], [[156/115]], [[19/14]], [[148/109]], [[110/81]]
 |-
-| 175
+| 138
-| 675.24
+| 532.47
-| d6
+|
-| 121/82, 31/21, [[96/65]], [[65/44]], 164/111, [[34/23]]
+| '''[[87/64]]''', [[121/89]], [[34/25]], [[49/36]]
 |-
-| 176
+| 139
-| 679.09
+| 536.33
 |
-| [[176/119]], 108/73, 182/123, 37/25, [[114/77]], [[77/52]], [[40/27]]
+| ''[[162/119]]'', [[109/80]], [[124/91]], [[154/113]], [[15/11]]
 |-
-| 177
+| 140
-| 682.95
+| 540.19
 |
-| [[126/85]], 132/89, 89/60, 46/31, '''[[95/64]]''', [[49/33]], 150/101
+| [[116/85]], [[101/74]], [[56/41]], [[138/101]], [[41/30]], [[160/117]], ''[[119/87]]''
 |-
-| 178
+| 141
-| 686.81
+| 544.05
 |
-| 101/68, [[52/35]], 162/109, 55/37, 168/113, 113/76, 58/39, [[119/80]], [[180/121]]
+| ''[[93/68]]'', [[26/19]], [[115/84]], [[89/65]], [[152/111]], [[63/46]], [[100/73]], [[37/27]], ''[[85/62]]''
 |-
-| 179
+| 142
-| 690.67
+| 547.9
 |
-| 73/49, [[76/51]], 82/55, [[85/57]]
+| [[48/35]], [[70/51]], [[136/99]]
 |-
-| 180
+| 143
-| 694.53
+| 551.76
 |
-| 109/73, [[112/75]], [[115/77]], [[121/81]], 130/87, [[136/91]], 148/99
+| '''[[11/8]]''', [[150/109]], '''[[128/93]]''', [[95/69]]
 |-
-| 181
+| 144
-| 698.39
+| 555.62
-|
+| sA4
-| 178/119, 184/123
+| ''[[117/85]]'', [[62/45]], [[113/82]], [[164/119]], [[51/37]], [[91/66]], [[40/29]]
 |-
-| 182
+| 145
-| 702.25
+| 559.48
-| P5
+|
-| '''[[3/2]]'''
+| [[69/50]], [[156/113]], [[29/21]], [[105/76]], [[76/55]], [[123/89]], [[170/123]], [[112/81]]
 |-
-| 183
+| 146
-| 706.1
+| 563.34
 |
-| [[182/121]], [[176/117]], 170/113, 164/109, 152/101, ''140/93''
+| [[101/73]], [[18/13]], ''[[140/101]]''
 |-
-| 184
+| 147
-| 709.96
+| 567.2
 |
-| '''[[128/85]]''', 116/77, 113/75, 110/73, [[104/69]], [[98/65]], [[95/63]]
+| [[104/75]], [[154/111]], [[111/80]], [[68/49]], [[168/121]], [[25/18]]
 |-
-| 185
+| 148
-| 713.82
+| 571.06
 |
-| [[77/51]], 74/49, [[68/45]]
+| [[132/95]], [[57/41]], [[146/105]], '''[[89/64]]''', [[121/87]], '''[[32/23]]'''
 |-
-| 186
+| 149
-| 717.68
+| 574.91
 |
-| 62/41, [[121/80]], [[180/119]], 174/115, [[115/76]], 56/37, 109/72, [[50/33]]
+| [[39/28]], [[124/89]], [[46/33]], [[152/109]], [[113/81]]
 |-
-| 187
+| 150
-| 721.54
+| 578.77
 |
-| [[144/95]], [[138/91]], [[91/60]], 44/29, [[85/56]], 41/27
+| [[81/58]], [[88/63]], [[95/68]], [[102/73]], [[109/78]], [[123/88]], [[130/93]]
 |-
-| 188
+| 151
-| 725.4
+| 582.63
 |
-| [[117/77]], [[38/25]], 111/73, [[184/121]], 73/48, 178/117, [[35/23]]
+| [[7/5]], ''[[164/117]]''
+|-
+| 152
+| 586.49
+| d5
+| [[115/82]], [[108/77]], [[101/72]], [[87/62]], [[80/57]], [[73/52]], ''[[170/121]]''
 |-
-| 189
+| 153
-| 729.26
+| 590.35
 |
-| [[99/65]], '''[[32/21]]''', 154/101, ''119/78''
+| [[52/37]], '''[[45/32]]''', '''[[128/91]]''', [[38/27]]
 |-
-| 190
+| 154
-| 733.11
+| 594.21
-| 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
+| [[69/49]], [[162/115]], [[31/22]], [[148/105]], [[55/39]]
 |-
-| 192
+| 155
-| 740.83
+| 598.07
 |
-| [[23/15]], 112/73, 89/58, [[152/99]]
+| [[24/17]], [[113/80]], [[89/63]], [[154/109]], [[65/46]], [[41/29]], [[140/99]]
 |-
-| 193
+| 156
-| 744.69
+| 601.92
 |
-| 63/41, 146/95, 186/121, 123/80, [[20/13]]
+| [[99/70]], [[58/41]], [[92/65]], [[109/77]], [[126/89]], [[160/113]], [[17/12]]
 |-
-| 194
+| 157
-| 748.55
+| 605.78
 |
-| [[117/76]], 174/113, [[77/50]], 57/37, 168/109, 37/24
+| [[78/55]], [[105/74]], [[44/31]], [[115/81]], [[98/69]]
 |-
-| 195
+| 158
-| 752.41
+| 609.64
 |
-| [[54/35]], [[88/57]], [[105/68]], 156/101, 190/123, [[17/11]]
+| [[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]]
 |-
-| 196
+| 160
-| 756.27
+| 617.36
 |
-| [[184/119]], 116/75, '''[[99/64]]''', [[65/42]], 178/115, 113/73, 48/31
+| ''[[117/82]]'', [[10/7]]
 |-
-| 197
+| 161
-| 760.12
+| 621.22
-| sA5
-| 31/20, 138/89, [[76/49]], [[121/78]], 45/29
-|-
-| 198
-| 763.98
 |
-| ''132/85'', 87/56, 101/65, 115/74, [[14/9]]
+| [[93/65]], [[176/123]], [[156/109]], [[73/51]], [[136/95]], [[63/44]], [[116/81]]
 |-
-| 199
+| 162
-| 767.84
+| 625.08
 |
-| 109/70, 176/113, [[81/52]], 148/95, [[120/77]], 170/109
+| [[162/113]], [[109/76]], [[33/23]], [[89/62]], [[56/39]]
 |-
-| 200
+| 163
-| 771.7
+| 628.93
 |
-| [[39/25]], '''[[64/41]]''', 89/57, 114/73, 164/105, '''[[25/16]]''', 136/87
+| '''[[23/16]]''', [[174/121]], '''[[128/89]]''', [[105/73]], [[82/57]], [[95/66]]
 |-
-| 201
+| 164
-| 775.56
+| 632.79
 |
-| ''186/119'', [[36/23]], [[119/76]]
+| [[36/25]], [[121/84]], [[49/34]], [[160/111]], [[111/77]], [[75/52]]
 |-
-| 202
+| 165
-| 779.42
+| 636.65
 |
-| 58/37, [[69/44]], [[80/51]], 91/58, [[102/65]], 113/72, 146/93, [[190/121]]
+| ''[[101/70]]'', [[13/9]], [[146/101]]
 |-
-| 203
+| 166
-| 783.27
+| 640.51
 |
-| [[11/7]], [[184/117]], 140/89, ''85/54''
+| [[81/56]], [[123/85]], [[178/123]], [[55/38]], [[152/105]], [[42/29]], [[113/78]], [[100/69]]
 |-
-| 204
+| 167
-| 787.13
+| 644.37
+| sd5
+| [[29/20]], [[132/91]], [[74/51]], [[119/82]], [[164/113]], [[45/31]], ''[[170/117]]''
+|-
+| 168
+| 648.23
 |
-| [[63/40]], 178/113, 115/73, [[52/33]], 41/26
+| [[138/95]], '''[[93/64]]''', [[109/75]], '''[[16/11]]'''
 |-
-| 205
+| 169
-| 790.99
+| 652.09
-| m6
+|
-| '''[[101/64]]''', [[30/19]], 109/69, '''[[128/81]]''', 49/31
+| [[99/68]], [[51/35]], [[35/24]]
 |-
-| 206
+| 170
-| 794.85
+| 655.94
 |
-| 117/74, 87/55, [[144/91]], [[182/115]], [[19/12]], 160/101
+| ''[[124/85]]'', [[54/37]], [[73/50]], [[92/63]], [[111/76]], [[130/89]], [[168/115]], [[19/13]], ''[[136/93]]''
 |-
-| 207
+| 171
-| 798.71
+| 659.8
 |
-| 65/41, 176/111, 111/70, 46/29, [[119/75]], [[192/121]], 73/46, [[100/63]]
+| ''[[174/119]]'', [[117/80]], [[60/41]], [[101/69]], [[41/28]], [[148/101]], [[85/58]]
 |-
-| 208
+| 172
-| 802.57
+| 663.66
 |
-| [[27/17]], 116/73, 89/56, 62/39, [[35/22]], 148/93
+| [[22/15]], [[113/77]], [[91/62]], [[160/109]], ''[[119/81]]''
 |-
-| 209
+| 173
-| 806.43
+| 667.52
 |
-| [[78/49]], [[121/76]], 180/113, 196/123, '''[[51/32]]''', [[110/69]]
+| [[72/49]], [[25/17]], [[178/121]], '''[[128/87]]'''
 |-
-| 210
+| 174
-| 810.28
+| 671.38
 |
-| 174/109, [[91/57]], [[190/119]], 99/62, [[115/72]], 123/77
+| [[81/55]], [[109/74]], [[28/19]], [[115/78]], [[146/99]]
 |-
-| 211
+| 175
-| 814.14
+| 675.24
-|
+| d6
-| '''[[8/5]]'''
+| [[121/82]], [[31/21]], [[96/65]], [[65/44]], [[164/111]], [[34/23]]
 |-
-| 212
+| 176
-| 818.0
+| 679.09
-| A5
+|
-| 117/73, 109/68, 101/63, 93/58, 178/111, 162/101, [[77/48]], 146/91, [[130/81]]
+| [[176/119]], [[108/73]], [[182/123]], [[37/25]], [[114/77]], [[77/52]], [[40/27]]
 |-
-| 213
+| 177
-| 821.86
+| 682.95
 |
-| [[45/28]], 82/51, 119/74, 37/23, 140/87
+| [[126/85]], [[132/89]], [[89/60]], [[46/31]], '''[[95/64]]''', [[49/33]], [[150/101]]
 |-
-| 214
+| 178
-| 825.72
+| 686.81
 |
-| 66/41, 124/77, 182/113, 29/18, 50/31
+| [[101/68]], [[52/35]], [[162/109]], [[55/37]], [[168/113]], [[113/76]], [[58/39]], [[119/80]], [[180/121]]
 |-
-| 215
+| 179
-| 829.58
+| 690.67
 |
-| [[121/75]], [[192/119]], [[92/57]], 113/70, 176/109, [[21/13]], [[160/99]]
+| [[73/49]], [[76/51]], [[82/55]], [[85/57]]
 |-
-| 216
+| 180
-| 833.44
+| 694.53
 |
-| 186/115, [[55/34]], 144/89, 89/55, 123/76, [[34/21]], [[196/121]]
+| [[109/73]], [[112/75]], [[115/77]], [[121/81]], [[130/87]], [[136/91]], [[148/99]]
 |-
-| 217
+| 181
-| 837.29
+| 698.39
 |
-| ''81/50'', [[154/95]], 60/37, 73/45, [[112/69]], 164/101, ''190/117''
+| [[178/119]], [[184/123]]
 |-
-| 218
+| 182
-| 841.15
+| 702.25
+| P5
+| '''[[3/2]]'''
+|-
+| 183
+| 706.1
 |
-| ''138/85'', '''[[13/8]]''', 200/123, 148/91
+| [[182/121]], [[176/117]], [[170/113]], [[164/109]], [[152/101]], ''[[140/93]]''
 |-
-| 219
+| 184
-| 845.01
+| 709.96
 |
-| 184/113, [[57/35]], 101/62, [[44/27]], 119/73, [[75/46]]
+| '''[[128/85]]''', [[116/77]], [[113/75]], [[110/73]], [[104/69]], [[98/65]], [[95/63]]
 |-
-| 220
+| 185
-| 848.87
+| 713.82
-| N6
-| 31/19, 111/68, [[80/49]], 178/109, [[49/30]], 152/93, [[85/52]]
-|-
-| 221
-| 852.73
 |
-| 121/74, [[18/11]], 113/69, 95/58
+| [[77/51]], [[74/49]], [[68/45]]
 |-
-| 222
+| 186
-| 856.59
+| 717.68
 |
-| 182/111, 41/25, 146/89, '''[[105/64]]''', '''[[64/39]]'''
+| [[62/41]], [[121/80]], [[180/119]], [[174/115]], [[115/76]], [[56/37]], [[109/72]], [[50/33]]
 |-
-| 223
+| 187
-| 860.45
+| 721.54
 |
-| [[156/95]], 202/123, [[23/14]], 120/73, 74/45, 51/31
+| [[144/95]], [[138/91]], [[91/60]], [[44/29]], [[85/56]], [[41/27]]
 |-
-| 224
+| 188
-| 864.3
+| 725.4
 |
-| 186/113, [[28/17]], 89/54, [[150/91]]
+| [[117/77]], [[38/25]], [[111/73]], [[184/121]], [[73/48]], [[178/117]], [[35/23]]
 |-
-| 225
+| 189
-| 868.16
+| 729.26
 |
-| [[33/20]], [[104/63]], 180/109, 109/66, [[38/23]], [[119/72]], [[200/121]]
+| [[99/65]], '''[[32/21]]''', [[154/101]], ''[[119/78]]''
 |-
-| 226
+| 190
-| 872.02
+| 733.11
+| sd6
+| [[29/19]], [[113/74]], [[84/55]], [[55/36]], [[136/89]]
+|-
+| 191
+| 736.97
 |
-| [[81/49]], 124/75, [[91/55]], 48/29, 154/93, 164/99
+| [[26/17]], [[101/66]], [[176/115]], [[75/49]], [[124/81]], '''[[49/32]]''', [[170/111]], [[95/62]]
 |-
-| 227
+| 192
-| 875.88
+| 740.83
 |
-| 58/35, 121/73, 184/111, [[63/38]], 68/41, 73/44
+| [[23/15]], [[112/73]], [[89/58]], [[152/99]]
 |-
-| 228
+| 193
-| 879.74
+| 744.69
-| d7
-| 93/56, [[108/65]], 113/68, 123/74, '''[[128/77]]''', 148/89, 168/101
-|-
-| 229
-| 883.6
 |
-| ''198/119'', [[5/3]]
+| [[63/41]], [[146/95]], [[186/121]], [[123/80]], [[20/13]]
 |-
-| 230
+| 194
-| 887.45
+| 748.55
 |
-| 202/121, [[192/115]], 182/109, [[152/91]]
+| [[117/76]], [[174/113]], [[77/50]], [[57/37]], [[168/109]], [[37/24]]
 |-
-| 231
+| 195
-| 891.31
+| 752.41
 |
-| ''117/70'', [[92/55]], 87/52, 82/49, [[77/46]], [[196/117]]
+| [[54/35]], [[88/57]], [[105/68]], [[156/101]], [[190/123]], [[17/11]]
 |-
-| 232
+| 196
-| 895.17
+| 756.27
 |
-| 62/37, [[176/105]], [[57/34]], 109/65, 52/31, 146/87, ''136/81''
+| [[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]]
 |-
-| 233
+| 198
-| 899.03
+| 763.98
 |
-| [[42/25]], [[121/72]], [[200/119]], 116/69, 190/113, 37/22, ''170/101''
+| ''[[132/85]]'', [[87/56]], [[101/65]], [[115/74]], [[14/9]]
 |-
-| 234
+| 199
-| 902.89
+| 767.84
 |
-| 69/41, 101/60, '''[[32/19]]''', 123/73, [[91/54]], 150/89, [[204/121]]
+| [[109/70]], [[176/113]], [[81/52]], [[148/95]], [[120/77]], [[170/109]]
 |-
-| 235
+| 200
-| 906.75
+| 771.7
-| M6
+|
-| '''[[27/16]]''', 184/109, [[130/77]], [[76/45]], 49/29
+| [[39/25]], '''[[64/41]]''', [[89/57]], [[114/73]], [[164/105]], '''[[25/16]]''', [[136/87]]
 |-
-| 236
+| 201
-| 910.61
+| 775.56
 |
-| 93/55, 208/123, [[115/68]], [[22/13]], 105/62
+| ''[[186/119]]'', [[36/23]], [[119/76]]
 |-
-| 237
+| 202
-| 914.46
+| 779.42
 |
-| [[144/85]], 178/105, [[39/23]], [[95/56]], [[56/33]]
+| [[58/37]], [[69/44]], [[80/51]], [[91/58]], [[102/65]], [[113/72]], [[146/93]], [[190/121]]
 |-
-| 238
+| 203
-| 918.32
+| 783.27
 |
-| ''202/119'', 124/73, 192/113, [[17/10]], 148/87
+| [[11/7]], [[184/117]], [[140/89]], ''[[85/54]]''
 |-
-| 239
+| 204
-| 922.18
+| 787.13
 |
-| 63/37, '''[[109/64]]''', [[46/27]], [[196/115]], [[75/44]]
+| [[63/40]], [[178/113]], [[115/73]], [[52/33]], [[41/26]]
 |-
-| 240
+| 205
-| 926.04
+| 790.99
-|
+| m6
-| ''162/95'', 29/17, 186/109, '''[[128/75]]''', 99/58, 70/41, 111/65, 152/89, 41/24, ''200/117''
+| '''[[101/64]]''', [[30/19]], [[109/69]], '''[[128/81]]''', [[49/31]]
 |-
-| 241
+| 206
-| 929.9
+| 794.85
 |
-| [[65/38]], [[77/45]], 89/52, 190/111, 113/66
+| [[117/74]], [[87/55]], [[144/91]], [[182/115]], [[19/12]], [[160/101]]
 |-
-| 242
+| 207
-| 933.76
+| 798.71
 |
-| [[12/7]], ''170/99''
+| [[65/41]], [[176/111]], [[111/70]], [[46/29]], [[119/75]], [[192/121]], [[73/46]], [[100/63]]
 |-
-| 243
+| 208
-| 937.62
+| 802.57
-| sd7
-| 146/85, '''[[55/32]]''', [[208/121]], [[98/57]], 160/93
-|-
-| 244
-| 941.47
 |
-| ''117/68'', [[198/115]], 31/18, 174/101, [[112/65]], 50/29, ''119/69''
+| [[27/17]], [[116/73]], [[89/56]], [[62/39]], [[35/22]], [[148/93]]
 |-
-| 245
+| 209
-| 945.33
+| 806.43
 |
-| [[69/40]], [[88/51]], 126/73, 164/95, 202/117, [[19/11]], ''140/81''
+| [[78/49]], [[121/76]], [[180/113]], [[196/123]], '''[[51/32]]''', [[110/69]]
 |-
-| 246
+| 210
-| 949.19
+| 810.28
 |
-| [[121/70]], '''[[64/37]]''', 109/63, 154/89, [[45/26]]
+| [[174/109]], [[91/57]], [[190/119]], [[99/62]], [[115/72]], [[123/77]]
 |-
-| 247
+| 211
-| 953.05
+| 814.14
 |
-| [[26/15]], '''[[111/64]]''', 196/113, [[85/49]], [[210/121]]
+| '''[[8/5]]'''
 |-
-| 248
+| 212
-| 956.91
+| 818.0
+| A5
+| [[117/73]], [[109/68]], [[101/63]], [[93/58]], [[178/111]], [[162/101]], [[77/48]], [[146/91]], [[130/81]]
+|-
+| 213
+| 821.86
 |
-| [[33/19]], 73/42, 113/65, [[40/23]]
+| [[45/28]], [[82/51]], [[119/74]], [[37/23]], [[140/87]]
 |-
-| 249
+| 214
-| 960.77
+| 825.72
 |
-| 87/50, 148/85, 101/58, 54/31, [[115/66]], 176/101, 190/109, [[68/39]]
+| [[66/41]], [[124/77]], [[182/113]], [[29/18]], [[50/31]]
 |-
-| 250
+| 215
-| 964.63
+| 829.58
-| sA6
+|
-| 89/51, [[96/55]], [[110/63]], 152/87
+| [[121/75]], [[192/119]], [[92/57]], [[113/70]], [[176/109]], [[21/13]], [[160/99]]
 |-
-| 251
+| 216
-| 968.48
+| 833.44
 |
-| [[208/119]], '''[[7/4]]'''
+| [[186/115]], [[55/34]], [[144/89]], [[89/55]], [[123/76]], [[34/21]], [[196/121]]
 |-
-| 252
+| 217
-| 972.34
+| 837.29
 |
-| 198/113, [[184/105]], 156/89, '''[[128/73]]''', [[121/69]], [[114/65]], [[100/57]]
+| ''[[81/50]]'', [[154/95]], [[60/37]], [[73/45]], [[112/69]], [[164/101]], ''[[190/117]]''
 |-
-| 253
+| 218
-| 976.2
+| 841.15
 |
-| 72/41, 202/115, 65/37, 123/70, 58/33, 109/62, [[160/91]], 51/29, [[95/54]]
+| ''[[138/85]]'', '''[[13/8]]''', [[200/123]], [[148/91]]
 |-
-| 254
+| 219
-| 980.06
+| 845.01
 |
-| [[44/25]], [[81/46]], 192/109, 37/21, 178/101, ''164/93''
+| [[184/113]], [[57/35]], [[101/62]], [[44/27]], [[119/73]], [[75/46]]
+|-
+| 220
+| 848.87
+| N6
+| [[31/19]], [[111/68]], [[80/49]], [[178/109]], [[49/30]], [[152/93]], [[85/52]]
 |-
-| 255
+| 221
-| 983.92
+| 852.73
 |
-| [[30/17]], '''[[113/64]]''', 196/111, [[136/77]]
+| [[121/74]], [[18/11]], [[113/69]], [[95/58]]
 |-
-| 256
+| 222
-| 987.78
+| 856.59
 |
-| [[99/56]], [[168/95]], [[23/13]], 200/113, 154/87, [[85/48]]
+| [[182/111]], [[41/25]], [[146/89]], '''[[105/64]]''', '''[[64/39]]'''
 |-
-| 257
+| 223
-| 991.63
+| 860.45
 |
-| 62/35, 101/57, 218/123, [[39/22]], [[204/115]], 55/31
+| [[156/95]], [[202/123]], [[23/14]], [[120/73]], [[74/45]], [[51/31]]
 |-
-| 258
+| 224
-| 995.49
+| 864.3
-| 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
+| [[186/113]], [[28/17]], [[89/54]], [[150/91]]
 |-
-| 260
+| 225
-| 1003.21
+| 868.16
 |
-| 66/37, [[91/51]], 116/65, [[216/121]], [[25/14]]
+| [[33/20]], [[104/63]], [[180/109]], [[109/66]], [[38/23]], [[119/72]], [[200/121]]
 |-
-| 261
+| 226
-| 1007.07
+| 872.02
 |
-| 202/113, [[152/85]], 93/52, 220/123, [[34/19]], 111/62
+| [[81/49]], [[124/75]], [[91/55]], [[48/29]], [[154/93]], [[164/99]]
 |-
-| 262
+| 227
-| 1010.93
+| 875.88
 |
-| [[138/77]], 52/29, 113/63, [[70/39]]
+| [[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]]
 |-
-| 263
+| 229
-| 1014.79
+| 883.6
 |
-| [[88/49]], '''[[115/64]]''', 124/69, 160/89, 178/99, 196/109
+| ''[[198/119]]'', [[5/3]]
 |-
-| 264
+| 230
-| 1018.64
+| 887.45
 |
-| [[9/5]], 218/121, 200/111, 182/101, 164/91, 146/81, [[119/66]]
+| [[202/121]], [[192/115]], [[182/109]], [[152/91]]
 |-
-| 265
+| 231
-| 1022.5
+| 891.31
-| A6
+|
-| 101/56, [[92/51]], 74/41, 204/113, [[65/36]], 56/31
+| ''[[117/70]]'', [[92/55]], [[87/52]], [[82/49]], [[77/46]], [[196/117]]
 |-
-| 266
+| 232
-| 1026.36
+| 895.17
 |
-| 132/73, [[208/115]], 123/68, [[38/21]], 105/58
+| [[62/37]], [[176/105]], [[57/34]], [[109/65]], [[52/31]], [[146/87]], ''[[136/81]]''
 |-
-| 267
+| 233
-| 1030.22
+| 899.03
 |
-| [[154/85]], '''[[29/16]]''', [[136/75]], [[49/27]]
+| [[42/25]], [[121/72]], [[200/119]], [[116/69]], [[190/113]], [[37/22]], ''[[170/101]]''
 |-
-| 268
+| 234
-| 1034.08
+| 902.89
 |
-| ''216/119'', [[69/38]], 89/49, 198/109, 109/60, [[20/11]]
+| [[69/41]], [[101/60]], '''[[32/19]]''', [[123/73]], [[91/54]], [[150/89]], [[204/121]]
 |-
-| 269
+| 235
-| 1037.94
+| 906.75
+| M6
+| '''[[27/16]]''', [[184/109]], [[130/77]], [[76/45]], [[49/29]]
+|-
+| 236
+| 910.61
 |
-| 202/111, [[91/50]], 162/89, 224/123, [[51/28]], 184/101, 82/45, 113/62
+| [[93/55]], [[208/123]], [[115/68]], [[22/13]], [[105/62]]
 |-
-| 270
+| 237
-| 1041.8
+| 914.46
 |
-| 31/17, [[104/57]], 73/40, [[115/63]], [[42/23]], [[95/52]], 148/81, ''170/93''
+| [[144/85]], [[178/105]], [[39/23]], [[95/56]], [[56/33]]
 |-
-| 271
+| 238
-| 1045.65
+| 918.32
 |
-| '''[[117/64]]''', '''[[64/35]]''', 75/41, [[119/65]]
+| ''[[202/119]]'', [[124/73]], [[192/113]], [[17/10]], [[148/87]]
 |-
-| 272
+| 239
-| 1049.51
+| 922.18
 |
-| 174/95, 218/119, [[11/6]], 222/121, 200/109
+| [[63/37]], '''[[109/64]]''', [[46/27]], [[196/115]], [[75/44]]
 |-
-| 273
+| 240
-| 1053.37
+| 926.04
-| N7
-| ''156/85'', 101/55, [[90/49]], 226/123, 68/37, [[182/99]], 57/31, 160/87
-|-
-| 274
-| 1057.23
 |
-| [[46/25]], 208/113, [[81/44]], 116/63, 186/101, [[35/19]], 164/89
+| ''[[162/95]]'', [[29/17]], [[186/109]], '''[[128/75]]''', [[99/58]], [[70/41]], [[111/65]], [[152/89]], [[41/24]], ''[[200/117]]''
 |-
-| 275
+| 241
-| 1061.09
+| 929.9
 |
-| [[24/13]], [[85/46]]
+| [[65/38]], [[77/45]], [[89/52]], [[190/111]], [[113/66]]
 |-
-| 276
+| 242
-| 1064.95
+| 933.76
 |
-| [[220/119]], 37/20, [[224/121]], [[50/27]]
+| [[12/7]], ''[[170/99]]''
 |-
-| 277
+| 243
-| 1068.81
+| 937.62
+| sd7
+| [[146/85]], '''[[55/32]]''', [[208/121]], [[98/57]], [[160/93]]
+|-
+| 244
+| 941.47
 |
-| [[176/95]], [[63/34]], 202/109, 76/41, 89/48, [[102/55]], 115/62, '''[[128/69]]'''
+| ''[[117/68]]'', [[198/115]], [[31/18]], [[174/101]], [[112/65]], [[50/29]], ''[[119/69]]''
 |-
-| 278
+| 245
-| 1072.66
+| 945.33
 |
-| [[13/7]], 210/113, [[184/99]], '''[[119/64]]'''
+| [[69/40]], [[88/51]], [[126/73]], [[164/95]], [[202/117]], [[19/11]], ''[[140/81]]''
 |-
-| 279
+| 246
-| 1076.52
+| 949.19
 |
-| ''93/50'', [[121/65]], 54/29, [[95/51]], 136/73, 218/117, 41/22
+| [[121/70]], '''[[64/37]]''', [[109/63]], [[154/89]], [[45/26]]
 |-
-| 280
+| 247
-| 1080.38
+| 953.05
 |
-| 69/37, 222/119, [[28/15]], 226/121, [[170/91]]
+| [[26/15]], '''[[111/64]]''', [[196/113]], [[85/49]], [[210/121]]
 |-
-| 281
+| 248
-| 1084.24
+| 956.91
-| d8
-| 230/123, [[144/77]], 101/54, 58/31, 204/109, 73/39
-|-
-| 282
-| 1088.1
 |
-| 178/95, 208/111, '''[[15/8]]''', [[152/81]]
+| [[33/19]], [[73/42]], [[113/65]], [[40/23]]
 |-
-| 283
+| 249
-| 1091.96
+| 960.77
 |
-| [[92/49]], 77/41, [[216/115]], 62/33, 109/58, [[220/117]], ''190/101''
+| [[87/50]], [[148/85]], [[101/58]], [[54/31]], [[115/66]], [[176/101]], [[190/109]], [[68/39]]
 |-
-| 284
+| 250
-| 1095.81
+| 964.63
+| sA6
+| [[89/51]], [[96/55]], [[110/63]], [[152/87]]
+|-
+| 251
+| 968.48
 |
-| '''[[32/17]]''', 113/60, [[130/69]], [[228/121]], [[49/26]], 164/87
+| [[208/119]], '''[[7/4]]'''
 |-
-| 285
+| 252
-| 1099.67
+| 972.34
 |
-| [[66/35]], 232/123, 117/62, 168/89, [[17/9]]
+| [[198/113]], [[184/105]], [[156/89]], '''[[128/73]]''', [[121/69]], [[114/65]], [[100/57]]
 |-
-| 286
+| 253
-| 1103.53
+| 976.2
 |
-| 138/73, '''[[121/64]]''', [[104/55]], 87/46, 70/37, 123/65, 176/93
+| [[72/41]], [[202/115]], [[65/37]], [[123/70]], [[58/33]], [[109/62]], [[160/91]], [[51/29]], [[95/54]]
 |-
-| 287
+| 254
-| 1107.39
+| 980.06
 |
-| [[36/19]], 218/115, [[91/48]], 146/77, 55/29, 74/39
+| [[44/25]], [[81/46]], [[192/109]], [[37/21]], [[178/101]], ''[[164/93]]''
 |-
-| 288
+| 255
-| 1111.25
+| 983.92
-| M7
+|
-| 93/49, 226/119, [[19/10]], [[230/121]], 192/101, [[154/81]]
+| [[30/17]], '''[[113/64]]''', [[196/111]], [[136/77]]
 |-
-| 289
+| 256
-| 1115.11
+| 987.78
 |
-| 78/41, [[99/52]], [[40/21]]
+| [[99/56]], [[168/95]], [[23/13]], [[200/113]], [[154/87]], [[85/48]]
 |-
-| 290
+| 257
-| 1118.97
+| 991.63
 |
-| ''162/85'', 124/65, 208/109, [[21/11]], 170/89
+| [[62/35]], [[101/57]], [[218/123]], [[39/22]], [[204/115]], [[55/31]]
+|-
+| 258
+| 995.49
+| m7
+| [[87/49]], '''[[16/9]]'''
 |-
-| 291
+| 259
-| 1122.82
+| 999.35
 |
-| 216/113, [[65/34]], 174/91, 109/57, [[44/23]], 111/58, 178/93, [[224/117]]
+| [[121/68]], [[89/50]], [[162/91]], [[73/41]], [[130/73]], '''[[57/32]]''', [[98/55]], [[180/101]], [[41/23]]
 |-
-| 292
+| 260
-| 1126.68
+| 1003.21
 |
-| [[182/95]], [[228/119]], [[23/12]], 232/121, 140/73, [[190/99]], ''119/62''
+| [[66/37]], [[91/51]], [[116/65]], [[216/121]], [[25/14]]
 |-
-| 293
+| 261
-| 1130.54
+| 1007.07
 |
-| [[48/25]], [[121/63]], 73/38, [[98/51]], '''[[123/64]]''', 148/77, [[25/13]]
+| [[202/113]], [[152/85]], [[93/52]], [[220/123]], [[34/19]], [[111/62]]
 |-
-| 294
+| 262
-| 1134.4
+| 1010.93
 |
-| 202/105, [[77/40]], [[52/27]], 210/109
+| [[138/77]], [[52/29]], [[113/63]], [[70/39]]
 |-
-| 295
+| 263
-| 1138.26
+| 1014.79
 |
-| [[27/14]], 218/113, 164/85, [[110/57]], 222/115, 56/29, 226/117, [[85/44]]
+| [[88/49]], '''[[115/64]]''', [[124/69]], [[160/89]], [[178/99]], [[196/109]]
 |-
-| 296
+| 264
-| 1142.12
+| 1018.64
-| sd8
+|
-| [[230/119]], 29/15, [[234/121]], [[176/91]], 89/46, 238/123, 60/31
+| [[9/5]], [[218/121]], [[200/111]], [[182/101]], [[164/91]], [[146/81]], [[119/66]]
 |-
-| 297
+| 265
-| 1145.98
+| 1022.5
-|
+| A6
-| [[184/95]], '''[[31/16]]''', [[126/65]], [[95/49]], '''[[64/33]]''', 196/101
+| [[101/56]], [[92/51]], [[74/41]], [[204/113]], [[65/36]], [[56/31]]
 |-
-| 298
+| 266
-| 1149.83
+| 1026.36
 |
-| [[33/17]], 101/52, [[68/35]], [[35/18]]
+| [[132/73]], [[208/115]], [[123/68]], [[38/21]], [[105/58]]
 |-
-| 299
+| 267
-| 1153.69
+| 1030.22
 |
-| 72/37, 109/56, 146/75, 220/113, 37/19, [[224/115]], [[150/77]], 113/58, [[76/39]]
+| [[154/85]], '''[[29/16]]''', [[136/75]], [[49/27]]
 |-
-| 300
+| 268
-| 1157.55
+| 1034.08
 |
-| 232/119, [[39/20]], 80/41, 121/62, 41/21, ''170/87''
+| ''[[216/119]]'', [[69/38]], [[89/49]], [[198/109]], [[109/60]], [[20/11]]
 |-
-| 301
+| 269
-| 1161.41
+| 1037.94
 |
-| 174/89, [[88/45]], 178/91, [[45/23]], 182/93
+| [[202/111]], [[91/50]], [[162/89]], [[224/123]], [[51/28]], [[184/101]], [[82/45]], [[113/62]]
 |-
-| 302
+| 270
-| 1165.27
+| 1041.8
 |
-| ''186/95'', [[96/49]], [[49/25]], 198/101, [[100/51]], [[51/26]]
+| [[31/17]], [[104/57]], [[73/40]], [[115/63]], [[42/23]], [[95/52]], [[148/81]], ''[[170/93]]''
 |-
-| 303
+| 271
-| 1169.13
+| 1045.65
-| sA7
+|
-| [[108/55]], 218/111, [[55/28]], 222/113, [[112/57]], 226/115, 57/29, [[230/117]], ''238/121''
+| '''[[117/64]]''', '''[[64/35]]''', [[75/41]], [[119/65]]
 |-
-| 304
+| 272
-| 1172.99
+| 1049.51
 |
-| ''234/119'', 242/123, 124/63, '''[[63/32]]''', '''[[128/65]]''', [[65/33]], [[136/69]]
+| [[174/95]], [[218/119]], [[11/6]], [[222/121]], [[200/109]]
 |-
-| 305
+| 273
-| 1176.84
+| 1053.37
-|
+| N7
-| [[69/35]], 144/73, 73/37, 148/75, [[75/38]], [[152/77]], [[77/39]], [[160/81]]
+| ''[[156/85]]'', [[101/55]], [[90/49]], [[226/123]], [[68/37]], [[182/99]], [[57/31]], [[160/87]]
 |-
-| 306
+| 274
-| 1180.7
+| 1057.23
 |
-| ''81/41'', [[168/85]], 87/44, 176/89, 89/45, [[180/91]], [[91/46]], 184/93, [[95/48]], [[196/99]], ''200/101''
+| [[46/25]], [[208/113]], [[81/44]], [[116/63]], [[186/101]], [[35/19]], [[164/89]]
 |-
-| 307
+| 275
-| 1184.56
+| 1061.09
 |
-| ''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
+| [[24/13]], [[85/46]]
 |-
-| 308
+| 276
-| 1188.42
+| 1064.95
 |
+| [[220/119]], [[37/20]], [[224/121]], [[50/27]]
+|-
+| 277
+| 1068.81
 |
+| [[176/95]], [[63/34]], [[202/109]], [[76/41]], [[89/48]], [[102/55]], [[115/62]], '''[[128/69]]'''
 |-
-| 309
+| 278
-| 1192.28
+| 1072.66
 |
+| [[13/7]], [[210/113]], [[184/99]], '''[[119/64]]'''
+|-
+| 279
+| 1076.52
 |
+| ''[[93/50]]'', [[121/65]], [[54/29]], [[95/51]], [[136/73]], [[218/117]], [[41/22]]
 |-
-| 310
+| 280
-| 1196.14
+| 1080.38
-|
 |
+| [[69/37]], [[222/119]], [[28/15]], [[226/121]], [[170/91]]
 |-
-| 311
+| 281
-| 1200.0
+| 1084.24
-| P8
+| d8
-| '''2/1'''
+| [[230/123]], [[144/77]], [[101/54]], [[58/31]], [[204/109]], [[73/39]]
-|}
-== 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.
-{| class="wikitable center-all"
 |-
-! colspan="2" | Steps
+| 282
-| 1
+| 1088.1
-| 2
+|
-| 3
+| [[178/95]], [[208/111]], '''[[15/8]]''', [[152/81]]
-| 4
-| 5
-| 6
-| 7
-| 8
-| 9
-| 10
-| 11
-| 12
-| 13
-| 14
-| 15
 |-
-! rowspan="3" | Symbol
+| 283
-! Evo + <abbr title="half sharp">hs</abbr>
+| 1091.96
-| rowspan="3" | {{Sagittal| |( }}
+|
-| rowspan="3" | {{Sagittal| )|( }}
+| [[92/49]], [[77/41]], [[216/115]], [[62/33]], [[109/58]], [[220/117]], ''[[190/101]]''
-| 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
+| 284
-| rowspan="2" | {{Sagittal| )/|\ }}
+| 1095.81
+|
+| '''[[32/17]]''', [[113/60]], [[130/69]], [[228/121]], [[49/26]], [[164/87]]
 |-
-! Revo
+| 285
-|-style="border-top: double;"
+| 1099.67
-! colspan="2" | Steps
+|
-| 16
+| [[66/35]], [[232/123]], [[117/62]], [[168/89]], [[17/9]]
-| 17
-| 18
-| 19
-| 20
-| 21
-| 22
-| 23
-| 24
-| 25
-| 26
-| 27
-| 28
-| 29
-| 30
 |-
-! rowspan="3" | Symbol
+| 286
-! Evo + <abbr title="half sharp">hs</abbr>
+| 1103.53
-| {{Sagittal| |( }}{{sagittal|t}}
+|
-| {{Sagittal| )|( }}{{sagittal|t}}
+| [[138/73]], '''[[121/64]]''', [[104/55]], [[87/46]], [[70/37]], [[123/65]], [[176/93]]
-| {{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
+| 287
-| {{sagittal| \!/ }}{{sagittal|#}}
+| 1107.39
-| {{sagittal| \!) }}{{sagittal|#}}
+|
-| {{sagittal| \\! }}{{sagittal|#}}
+| [[36/19]], [[218/115]], [[91/48]], [[146/77]], [[55/29]], [[74/39]]
-| {{sagittal| ~!/ }}{{sagittal|#}}
-| {{sagittal| (!( }}{{sagittal|#}}
-| {{sagittal| (! }}{{sagittal|#}}
-| {{sagittal| !/ }}{{sagittal|#}}
-| {{sagittal| !) }}{{sagittal|#}}
-| {{sagittal| \! }}{{sagittal|#}}
-| {{sagittal| ~~! }}{{sagittal|#}}
-| {{sagittal| ~!( }}{{sagittal|#}}
-| {{sagittal| )~! }}{{sagittal|#}}
-| {{sagittal| )!( }}{{sagittal|#}}
-| {{sagittal| !( }}{{sagittal|#}}
-| {{sagittal|#}}
-|-
-! Revo
-| {{sagittal| (|) }}
-| {{sagittal| (|\ }}
-| {{sagittal| )||( }}
-| {{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
+| 288
-| 1
+| 1111.25
-| 2
+| M7
-| 3
+| [[93/49]], [[226/119]], [[19/10]], [[230/121]], [[192/101]], [[154/81]]
-| 4
-| 5
-| 6
-| 7
-| 8
-| 9
-| 10
-| 11
-| 12
-| 13
-| 14
-| 15
 |-
-! Symbol
+| 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]]
-| t<
+|-
-| t
+| 292
-|-style="border-top: double;"
+| 1126.68
-! Steps
+|
-| 16
+| [[182/95]], [[228/119]], [[23/12]], [[232/121]], [[140/73]], [[190/99]], ''[[119/62]]''
-| 17
+|-
-| 18
+| 293
-| 19
+| 1130.54
-| 20
+|
-| 21
+| [[48/25]], [[121/63]], [[73/38]], [[98/51]], '''[[123/64]]''', [[148/77]], [[25/13]]
-| 22
+|-
-| 23
+| 294
-| 24
+| 1134.4
-| 25
+|
-| 26
+| [[202/105]], [[77/40]], [[52/27]], [[210/109]]
-| 27
-| 28
-| 29
-| 30
 |-
-! Symbol
+| 295
-| t>
+| 1138.26
-| #↓↓<
+|
-| #↓↓
+| [[27/14]], [[218/113]], [[164/85]], [[110/57]], [[222/115]], [[56/29]], [[226/117]], [[85/44]]
-| #↓↓>
-| #↓↓/
-| #↓\<
-| #↓\
-| #↓<
-| #↓
-| #↓>
-| #↓/
-| #\<
-| #\
-| #<
-| #
-|}
-=== 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.
-{{Ups and downs sharpness}}
-== JI approximation ==
-=== Selected just intervals ===
-{{Q-odd-limit intervals|311|limit=41}}
-== Regular temperament properties ==
-{| class="wikitable center-4 center-5 center-6"
 |-
-! rowspan="2" | [[Subgroup]]
+| 296
-! rowspan="2" | [[Comma list]]
+| 1142.12
-! rowspan="2" | [[Mapping]]
+| sd8
-! rowspan="2" | Optimal<br>8ve stretch (¢)
+| [[230/119]], [[29/15]], [[234/121]], [[176/91]], [[89/46]], [[238/123]], [[60/31]]
-! colspan="2" | Tuning error
 |-
-! [[TE error|Absolute]] (¢)
+| 297
-! [[TE simple badness|Relative]] (%)
+| 1145.98
+|
+| [[184/95]], '''[[31/16]]''', [[126/65]], [[95/49]], '''[[64/33]]''', [[196/101]]
 |-
-| 2.3
+| 298
-| {{monzo| 493 -311 }}
+| 1149.83
-| {{mapping| 311 493 }}
+|
-| −0.0933
+| [[33/17]], [[101/52]], [[68/35]], [[35/18]]
-| 0.0933
-| 2.42
 |-
-| 2.3.5
+| 299
-| 1600000/1594323, {{monzo| -59 5 22 }}
+| 1153.69
-| {{mapping| 311 493 722 }}
+|
-| +0.0040
+| [[72/37]], [[109/56]], [[146/75]], [[220/113]], [[37/19]], [[224/115]], [[150/77]], [[113/58]], [[76/39]]
-| 0.1573
-| 4.08
 |-
-| 2.3.5.7
+| 300
-| 2401/2400, 65625/65536, 1600000/1594323
+| 1157.55
-| {{mapping| 311 493 722 873 }}
+|
-| +0.0331
+| [[232/119]], [[39/20]], [[80/41]], [[121/62]], [[41/21]], ''[[170/87]]''
-| 0.1453
-| 3.76
 |-
-| 2.3.5.7.11
+| 301
-| 2401/2400, 3025/3024, 4000/3993, 19712/19683
+| 1161.41
-| {{mapping| 311 493 722 873 1076 }}
+|
-| +0.0004
+| [[174/89]], [[88/45]], [[178/91]], [[45/23]], [[182/93]]
-| 0.1454
-| 3.77
 |-
-| 2.3.5.7.11.13
+| 302
-| 625/624, 1575/1573, 2080/2079, 2200/2197, 2401/2400
+| 1165.27
-| {{mapping| 311 493 722 873 1076 1151 }}
+|
-| −0.0280
+| ''[[186/95]]'', [[96/49]], [[49/25]], [[198/101]], [[100/51]], [[51/26]]
-| 0.1472
-| 3.81
 |-
-| 2.3.5.7.11.13.17
+| 303
-| 595/594, 625/624, 833/832, 1156/1155, 1575/1573, 2200/2197
+| 1169.13
-| {{mapping| 311 493 722 873 1076 1151 1271 }}
+| sA7
-| +0.0031
+| [[108/55]], [[218/111]], [[55/28]], [[222/113]], [[112/57]], [[226/115]], [[57/29]], [[230/117]], ''[[238/121]]''
-| 0.1561
+|-
-| 4.05
+| 304
+| 1172.99
+|
+| ''[[234/119]]'', [[242/123]], [[124/63]], '''[[63/32]]''', '''[[128/65]]''', [[65/33]], [[136/69]]
 |-
-| 2.3.5.7.11.13.17.19
+| 305
-| 595/594, 625/624, 833/832, 969/968, 1156/1155, 1216/1215, 1575/1573
+| 1176.84
-| {{mapping| 311 493 722 873 1076 1151 1271 1321 }}
+|
-| +0.0146
+| [[69/35]], [[144/73]], [[73/37]], [[148/75]], [[75/38]], [[152/77]], [[77/39]], [[160/81]]
-| 0.1492
-| 3.87
 |-
-| 2.3.5.7.11.13.17.19.23
+| 306
-| 595/594, 625/624, 760/759, 833/832, 875/874, 969/968, 1105/1104, 1156/1155
+| 1180.7
-| {{mapping| 311 493 722 873 1076 1151 1271 1321 1407 }}
+|
-| −0.0033
+| ''[[81/41]]'', [[168/85]], [[87/44]], [[176/89]], [[89/45]], [[180/91]], [[91/46]], [[184/93]], [[95/48]], [[196/99]], ''[[200/101]]''
-| 0.1496
-| 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 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.
-=== Rank-2 temperaments ===
-{| class="wikitable center-all left-5"
-|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
 |-
-! Periods<br>per 8ve
+| 307
-! Generator*
+| 1184.56
-! Cents*
+|
-! Associated<br>ratio*
+| ''[[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]]
-! Temperaments
 |-
-| 1
+| 308
-| 10\311
+| 1188.42
-| 38.59
+|
-| 45/44
+|
-| [[Hemitert]]
 |-
-| 1
+| 309
-| 11\311
+| 1192.28
-| 42.44
+|
-| 40/39
+|
-| [[Humorous]]
 |-
-| 1
+| 310
-| 17\311
+| 1196.14
-| 65.59
+|
-| 27/26
+|
-| [[Luminal]]
 |-
-| 1
+| 311
-| 20\311
+| 1200.0
-| 77.17
+| P8
-| 256/245, 23/22
+| '''[[2/1]]'''
-| [[Tertiaseptal]] / tertiaseptia
+|}
+<references group="note" />
+== Regular temperament properties ==
+{| class="wikitable center-4 center-5 center-6"
 |-
-| 1
+! rowspan="2" | [[Subgroup]]
-| 22\311
+! rowspan="2" | [[Comma list]]
-| 84.89
+! rowspan="2" | [[Mapping]]
-| 21/20
+! rowspan="2" | Optimal<br>8ve stretch (¢)
-| [[Amicable]] / amical / amorous
+! colspan="2" | Tuning error
 |-
-| 1
+! [[TE error|Absolute]] (¢)
-| 29\311
+! [[TE simple badness|Relative]] (%)
-| 111.90
-| 16/15
-| [[Vavoom]]
 |-
-| 1
+| 2.3
-| 35\311
+| {{monzo| 493 -311 }}
-| 135.05
+| {{mapping| 311 493 }}
-| 27/25
+| −0.0933
-| [[Superlimmal]]
+| 0.0933
+| 2.42
 |-
-| 1
+| 2.3.5
-| 43\311
+| 1600000/1594323, {{monzo| -59 5 22 }}
-| 165.92
+| {{mapping| 311 493 722 }}
-| 11/10
+| +0.0040
-| [[Satin]]
+| 0.1573
+| 4.08
 |-
-| 1
+| 2.3.5.7
-| 67\311
+| 2401/2400, 65625/65536, 1600000/1594323
-| 258.52
+| {{mapping| 311 493 722 873 }}
-| {{Monzo| -32 13 5 }}
+| +0.0331
-| [[Lafa]]
+| 0.1453
+| 3.76
 |-
-| 1
+| 2.3.5.7.11
-| 88\311
+| 2401/2400, 3025/3024, 4000/3993, 19712/19683
-| 339.55
+| {{mapping| 311 493 722 873 1076 }}
-| 243/200
+| +0.0004
-| [[Paramity]]
+| 0.1454
+| 3.77
 |-
-| 1
+| 2.3.5.7.11.13
-| 91\311
+| 625/624, 1575/1573, 2080/2079, 2200/2197, 2401/2400
-| 351.13
+| {{mapping| 311 493 722 873 1076 1151 }}
-| 49/40
+| −0.0280
-| [[Newt]]
+| 0.1472
+| 3.81
 |-
-| 1
+| 2.3.5.7.11.13.17
-| 108\311
+| 595/594, 625/624, 833/832, 1156/1155, 1575/1573, 2200/2197
-| 416.72
+| {{mapping| 311 493 722 873 1076 1151 1271 }}
-| 14/11
+| +0.0031
-| [[Unthirds]]
+| 0.1561
+| 4.05
 |-
-| 1
+| 2.3.5.7.11.13.17.19
-| 129\311
+| 595/594, 625/624, 833/832, 969/968, 1156/1155, 1216/1215, 1575/1573
-| 497.75
+| {{mapping| 311 493 722 873 1076 1151 1271 1321 }}
-| 4/3
+| +0.0146
-| [[Gary]]
+| 0.1492
+| 3.87
 |-
-| 1
+| 2.3.5.7.11.13.17.19.23
-| 133\311
+| 595/594, 625/624, 760/759, 833/832, 875/874, 969/968, 1105/1104, 1156/1155
-| 513.18
+| {{mapping| 311 493 722 873 1076 1151 1271 1321 1407 }}
-| 35/26
+| −0.0033
-| [[Trinity]]
+| 0.1496
-|-
+| 3.88
-| 1
+|}
-| 142\311
-| 547.92
+* 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.
-| 48/35
+* 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.
-| [[Calamity]]
+=== Rank-2 temperaments ===
+{| class="wikitable center-all left-5"
+|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
+|-
+! Periods<br>per 8ve
+! Generator*
+! Cents*
+! Associated<br>ratio*
+! Temperaments
 |-
 | 1
-| 143\311
+| 10\311
-| 551.77
+| 38.59
-| 11/8
+| 45/44
-| [[Emkay]]
+| [[Hemitert]]
 |-
 | 1
-| 155\311
+| 11\311
-| 598.08
+| 42.44
-| 572/405
+| 40/39
-| [[Vydubychi]]
+| [[Humorous]]
-|}
+|-
-<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
+| 1
+| 17\311
-=== Commas ===
+| 65.59
-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.
+| 27/26
+| [[Luminal]]
-== Scales ==
+|-
-edo accurately approximates the mode 16 of [[harmonic series]].
+| 1
+| 20\311
-{| class="wikitable center-all"
+| 77.17
+| 23/22
+| [[Tertiaseptal]] / tertiaseptia
 |-
-! Overtones
+| 1
-! 16
+| 22\311
-! 17
+| 84.89
-! 18
+| 21/20
-! 19
+| [[Amicable]] / amical / amorous
-! 20
+|-
+| 1
+| 26\311
+| 100.32
+| 675/637
+| [[Heptacot]]
+|-
+| 1
+| 29\311
+| 111.90
+| 16/15
+| [[Vavoom]]
+|-
+| 1
+| 35\311
+| 135.05
+| 27/25
+| [[Superlimmal]]
+|-
+| 1
+| 43\311
+| 165.92
+| 11/10
+| [[Satin]]
+|-
+| 1
+| 67\311
+| 258.52
+| {{Monzo| -32 13 5 }}
+| [[Lafa]]
+|-
+| 1
+| 88\311
+| 339.55
+| 243/200
+| [[Paramity]]
+|-
+| 1
+| 91\311
+| 351.13
+| 49/40
+| [[Newt]]
+|-
+| 1
+| 108\311
+| 416.72
+| 14/11
+| [[Unthirds]]
+|-
+| 1
+| 129\311
+| 497.75
+| 4/3
+| [[Gary]]
+|-
+| 1
+| 133\311
+| 513.18
+| 35/26
+| [[Trinity]]
+|-
+| 1
+| 142\311
+| 547.92
+| 48/35
+| [[Calamity]]
+|-
+| 1
+| 143\311
+| 551.77
+| 11/8
+| [[Emkay]]
+|-
+| 1
+| 155\311
+| 598.08
+| 572/405
+| [[Vydubychi]]
+|}
+<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 ===
+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.
+== Scales ==
+=== MOS scales ===
+''See: [[User:BudjarnLambeth/311edo MOS scales]].''
+=== Mode 16 of the harmonic series ===
+edo 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 87edo
+! Degrees in 311edo
 | 0
 | 27
@@ Line 2,131: / Line 2,135: @@
 == External links ==
 * [http://tonalsoft.com/enc/g/gene.aspx gene, 311-edo] on [[Tonalsoft Encyclopedia]]
-== Notes ==
-<references group="note" />
 == References ==
 [[Category:Listen]]

311edo: Difference between revisions