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== Commas with numerator < 10000, size <= 2187/2048, and primes <= 13 ==
== Commas with denominator <= 2**40, size <= 2187/2048, and primes <= 5 ==
 
 
{| class="wikitable sortable"
{| class="wikitable sortable"
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
! [[Cent]]s
! [[Cent]]s
|-
! EDOs tempering out the comma by patent val
| [[16/15]]
|-
| [4 -1 -1⟩
| [[16/15]]
| 111.73
| [4 -1 -1⟩
|-
| 111.73
| [[21/20]]
| [[1edo|1]], [[2edo|2]], [[3edo|3]], [[5edo|5]], [[6edo|6]], [[8edo|8]]
| [-2 1 -1 1⟩
|-
| 84.47
| [[25/24]]
|-
| [-3 -1 2⟩
| [[22/21]]
| 70.67
| [1 -1 0 -1 1⟩
| [[3edo|3]], [[4edo|4]], [[6edo|6]], [[7edo|7]], [[10edo|10]], [[13edo|13]], [[17edo|17]], [[20edo|20]]
| 80.54
|-
|-
| [[81/80]]
| [-4 4 -1⟩
| 21.51
| [[5edo|5]], [[7edo|7]], [[12edo|12]], [[19edo|19]], [[24edo|24]], [[26edo|26]], [[31edo|31]], [[36edo|36]], [[38edo|38]], [[43edo|43]], [[45edo|45]], [[50edo|50]], [[55edo|55]], [[57edo|57]], [[62edo|62]], [[67edo|67]], [[69edo|69]], [[74edo|74]], [[76edo|76]], [[81edo|81]], [[86edo|86]], [[88edo|88]], [[93edo|93]], [[98edo|98]], [[100edo|100]], [[105edo|105]], [[117edo|117]], [[129edo|129]]
|-
| [[128/125]]
| [7 0 -3⟩
| 41.06
| [[3edo|3]], [[6edo|6]], [[9edo|9]], [[12edo|12]], [[15edo|15]], [[18edo|18]], [[21edo|21]], [[24edo|24]], [[27edo|27]], [[30edo|30]], [[33edo|33]], [[36edo|36]], [[39edo|39]], [[42edo|42]]
|-
| [[135/128]]
| [-7 3 1⟩
| 92.18
| [[2edo|2]], [[7edo|7]], [[9edo|9]], [[11edo|11]], [[16edo|16]], [[23edo|23]]
|-
| [[250/243]]
| [1 -5 3⟩
| 49.17
| [[7edo|7]], [[8edo|8]], [[15edo|15]], [[22edo|22]], [[29edo|29]], [[30edo|30]], [[37edo|37]], [[44edo|44]], [[51edo|51]], [[59edo|59]], [[66edo|66]]
|-
| [[256/243]]
| [8 -5⟩
| 90.22
| [[5edo|5]], [[10edo|10]], [[15edo|15]], [[20edo|20]], [[25edo|25]], [[30edo|30]]
|-
| [[648/625]]
| [3 4 -4⟩
| 62.57
| [[4edo|4]], [[8edo|8]], [[12edo|12]], [[16edo|16]], [[24edo|24]], [[28edo|28]], [[36edo|36]], [[40edo|40]], [[52edo|52]], [[64edo|64]]
|-
| [[2048/2025]]
| [11 -4 -2⟩
| 19.55
| [[2edo|2]], [[10edo|10]], [[12edo|12]], [[14edo|14]], [[20edo|20]], [[22edo|22]], [[24edo|24]], [[32edo|32]], [[34edo|34]], [[36edo|36]], [[44edo|44]], [[46edo|46]], [[54edo|54]], [[56edo|56]], [[58edo|58]], [[66edo|66]], [[68edo|68]], [[70edo|70]], [[78edo|78]], [[80edo|80]], [[90edo|90]], [[92edo|92]], [[102edo|102]], [[112edo|112]], [[114edo|114]], [[124edo|124]], [[126edo|126]], [[136edo|136]], [[148edo|148]], [[160edo|160]]
|-
| [[2187/2048]]
| [-11 7⟩
| 113.69
| [[7edo|7]], [[14edo|14]], [[21edo|21]], [[28edo|28]], [[35edo|35]]
|-
| [[3125/3072]]
| [-10 -1 5⟩
| 29.61
| [[3edo|3]], [[6edo|6]], [[16edo|16]], [[19edo|19]], [[22edo|22]], [[25edo|25]], [[35edo|35]], [[38edo|38]], [[41edo|41]], [[44edo|44]], [[57edo|57]], [[60edo|60]], [[63edo|63]], [[66edo|66]], [[76edo|76]], [[79edo|79]], [[82edo|82]], [[85edo|85]], [[104edo|104]], [[107edo|107]]
|-
| [[6561/6250]]
| [-1 8 -5⟩
| 84.07
| [[12edo|12]], [[23edo|23]], [[24edo|24]], [[35edo|35]], [[36edo|36]], [[47edo|47]]
|-
| [[15625/15552]]
| [-6 -5 6⟩
| 8.11
| [[4edo|4]], [[15edo|15]], [[19edo|19]], [[23edo|23]], [[30edo|30]], [[34edo|34]], [[38edo|38]], [[49edo|49]], [[53edo|53]], [[57edo|57]], [[68edo|68]], [[72edo|72]], [[76edo|76]], [[83edo|83]], [[87edo|87]], [[91edo|91]], [[102edo|102]], [[106edo|106]], [[110edo|110]], [[121edo|121]], [[125edo|125]], [[136edo|136]], [[140edo|140]], [[144edo|144]], [[155edo|155]], [[159edo|159]], [[163edo|163]], [[174edo|174]], [[178edo|178]], [[189edo|189]], [[193edo|193]], [[197edo|197]], [[208edo|208]], [[212edo|212]], [[227edo|227]], [[231edo|231]], [[242edo|242]], [[246edo|246]], [[250edo|250]], [[261edo|261]], [[265edo|265]], [[280edo|280]], [[284edo|284]], [[295edo|295]], [[299edo|299]], [[314edo|314]], [[318edo|318]], [[333edo|333]], [[337edo|337]], [[348edo|348]], [[352edo|352]], [[367edo|367]], [[371edo|371]], [[386edo|386]], [[401edo|401]], [[405edo|405]], [[420edo|420]], [[424edo|424]], [[439edo|439]], [[454edo|454]], [[458edo|458]], [[473edo|473]], [[492edo|492]], [[507edo|507]], [[526edo|526]], [[545edo|545]], [[560edo|560]], [[579edo|579]], [[613edo|613]], [[632edo|632]], [[666edo|666]], [[719edo|719]]
|-
| [[16875/16384]]
| [-14 3 4⟩
| 51.12
| [[1edo|1]], [[9edo|9]], [[10edo|10]], [[19edo|19]], [[20edo|20]], [[28edo|28]], [[29edo|29]], [[38edo|38]], [[47edo|47]], [[48edo|48]], [[57edo|57]], [[76edo|76]]
|-
| [[20000/19683]]
| [5 -9 4⟩
| 27.66
| [[7edo|7]], [[27edo|27]], [[34edo|34]], [[41edo|41]], [[48edo|48]], [[61edo|61]], [[68edo|68]], [[75edo|75]], [[82edo|82]], [[95edo|95]], [[102edo|102]], [[109edo|109]], [[116edo|116]], [[136edo|136]], [[143edo|143]], [[150edo|150]], [[177edo|177]], [[184edo|184]], [[191edo|191]], [[218edo|218]], [[225edo|225]], [[259edo|259]]
|-
| [[20480/19683]]
| [12 -9 1⟩
| 68.72
| [[5edo|5]], [[17edo|17]], [[22edo|22]], [[27edo|27]], [[44edo|44]], [[49edo|49]], [[66edo|66]], [[71edo|71]]
|-
| [[32805/32768]]
| [-15 8 1⟩
| 1.95
| [[12edo|12]], [[17edo|17]], [[24edo|24]], [[29edo|29]], [[36edo|36]], [[41edo|41]], [[53edo|53]], [[65edo|65]], [[77edo|77]], [[82edo|82]], [[89edo|89]], [[94edo|94]], [[101edo|101]], [[106edo|106]], [[118edo|118]], [[130edo|130]], [[135edo|135]], [[142edo|142]], [[147edo|147]], [[154edo|154]], [[159edo|159]], [[171edo|171]], [[183edo|183]], [[195edo|195]], [[200edo|200]], [[207edo|207]], [[212edo|212]], [[219edo|219]], [[224edo|224]], [[236edo|236]], [[248edo|248]], [[253edo|253]], [[260edo|260]], [[265edo|265]], [[272edo|272]], [[277edo|277]], [[289edo|289]], [[301edo|301]], [[313edo|313]], [[318edo|318]], [[325edo|325]], [[330edo|330]], [[342edo|342]], [[354edo|354]], [[366edo|366]], [[371edo|371]], [[378edo|378]], [[383edo|383]], [[390edo|390]], [[395edo|395]], [[407edo|407]], [[419edo|419]], [[424edo|424]], [[431edo|431]], [[436edo|436]], [[443edo|443]], [[448edo|448]], [[460edo|460]], [[472edo|472]], [[484edo|484]], [[489edo|489]], [[496edo|496]], [[501edo|501]], [[508edo|508]], [[513edo|513]], [[525edo|525]], [[537edo|537]], [[542edo|542]], [[549edo|549]], [[554edo|554]], [[561edo|561]], [[566edo|566]], [[578edo|578]], [[590edo|590]], [[602edo|602]], [[607edo|607]], [[614edo|614]], [[619edo|619]], [[626edo|626]], [[631edo|631]], [[643edo|643]], [[655edo|655]], [[660edo|660]], [[667edo|667]], [[672edo|672]], [[679edo|679]], [[684edo|684]], [[696edo|696]], [[708edo|708]], [[720edo|720]], [[725edo|725]], [[732edo|732]], [[737edo|737]], [[744edo|744]], [[749edo|749]], [[761edo|761]], [[773edo|773]], [[778edo|778]], [[785edo|785]], [[790edo|790]], [[797edo|797]], [[802edo|802]], [[814edo|814]], [[826edo|826]], [[838edo|838]], [[843edo|843]], [[850edo|850]], [[855edo|855]], [[862edo|862]], [[867edo|867]], [[879edo|879]], [[891edo|891]], [[896edo|896]], [[903edo|903]], [[908edo|908]], [[915edo|915]], [[920edo|920]], [[932edo|932]], [[944edo|944]], [[956edo|956]], [[961edo|961]], [[968edo|968]], [[973edo|973]], [[985edo|985]], [[997edo|997]], [[1009edo|1009]], [[1014edo|1014]], [[1021edo|1021]], [[1026edo|1026]], [[1033edo|1033]], [[1038edo|1038]], [[1050edo|1050]], [[1062edo|1062]], [[1067edo|1067]], [[1074edo|1074]], [[1079edo|1079]], [[1086edo|1086]], [[1091edo|1091]], [[1103edo|1103]], [[1115edo|1115]], [[1127edo|1127]], [[1132edo|1132]], [[1139edo|1139]], [[1144edo|1144]], [[1151edo|1151]], [[1156edo|1156]], [[1168edo|1168]], [[1180edo|1180]], [[1185edo|1185]], [[1192edo|1192]], [[1197edo|1197]], [[1204edo|1204]], [[1209edo|1209]], [[1221edo|1221]], [[1233edo|1233]], [[1245edo|1245]], [[1250edo|1250]], [[1257edo|1257]], [[1262edo|1262]], [[1269edo|1269]], [[1274edo|1274]], [[1286edo|1286]], [[1298edo|1298]], [[1303edo|1303]], [[1310edo|1310]], [[1315edo|1315]], [[1322edo|1322]], [[1327edo|1327]], [[1339edo|1339]], [[1351edo|1351]], [[1363edo|1363]], [[1368edo|1368]], [[1375edo|1375]], [[1380edo|1380]], [[1387edo|1387]], [[1392edo|1392]], [[1404edo|1404]], [[1416edo|1416]], [[1421edo|1421]], [[1428edo|1428]], [[1433edo|1433]], [[1440edo|1440]], [[1445edo|1445]], [[1457edo|1457]], [[1469edo|1469]], [[1481edo|1481]], [[1486edo|1486]], [[1493edo|1493]], [[1498edo|1498]], [[1505edo|1505]], [[1510edo|1510]], [[1522edo|1522]], [[1534edo|1534]], [[1539edo|1539]], [[1546edo|1546]], [[1551edo|1551]], [[1558edo|1558]], [[1563edo|1563]], [[1575edo|1575]], [[1587edo|1587]], [[1599edo|1599]], [[1604edo|1604]], [[1611edo|1611]], [[1616edo|1616]], [[1628edo|1628]], [[1640edo|1640]], [[1652edo|1652]], [[1657edo|1657]], [[1664edo|1664]], [[1669edo|1669]], [[1676edo|1676]], [[1681edo|1681]], [[1693edo|1693]], [[1705edo|1705]], [[1710edo|1710]], [[1717edo|1717]], [[1722edo|1722]], [[1729edo|1729]], [[1734edo|1734]], [[1746edo|1746]], [[1758edo|1758]], [[1770edo|1770]], [[1775edo|1775]], [[1782edo|1782]], [[1787edo|1787]], [[1794edo|1794]], [[1799edo|1799]], [[1811edo|1811]], [[1823edo|1823]], [[1828edo|1828]], [[1835edo|1835]], [[1840edo|1840]], [[1847edo|1847]], [[1852edo|1852]], [[1864edo|1864]], [[1876edo|1876]], [[1888edo|1888]], [[1893edo|1893]], [[1900edo|1900]], [[1905edo|1905]], [[1912edo|1912]], [[1917edo|1917]], [[1929edo|1929]], [[1941edo|1941]], [[1946edo|1946]], [[1953edo|1953]], [[1958edo|1958]], [[1965edo|1965]], [[1970edo|1970]], [[1982edo|1982]], [[1994edo|1994]], [[2006edo|2006]], [[2011edo|2011]], [[2018edo|2018]], [[2023edo|2023]], [[2030edo|2030]], [[2035edo|2035]], [[2047edo|2047]], [[2059edo|2059]], [[2064edo|2064]], [[2071edo|2071]], [[2076edo|2076]], [[2083edo|2083]], [[2088edo|2088]], [[2100edo|2100]], [[2112edo|2112]], [[2124edo|2124]], [[2129edo|2129]], [[2136edo|2136]], [[2141edo|2141]], [[2148edo|2148]], [[2153edo|2153]], [[2165edo|2165]], [[2177edo|2177]], [[2182edo|2182]], [[2189edo|2189]], [[2194edo|2194]], [[2206edo|2206]], [[2218edo|2218]], [[2230edo|2230]], [[2242edo|2242]], [[2247edo|2247]], [[2259edo|2259]], [[2271edo|2271]], [[2283edo|2283]], [[2295edo|2295]], [[2300edo|2300]], [[2312edo|2312]], [[2324edo|2324]], [[2336edo|2336]], [[2348edo|2348]], [[2353edo|2353]], [[2365edo|2365]], [[2377edo|2377]], [[2389edo|2389]], [[2401edo|2401]], [[2418edo|2418]], [[2430edo|2430]], [[2442edo|2442]], [[2454edo|2454]], [[2471edo|2471]], [[2483edo|2483]], [[2495edo|2495]], [[2536edo|2536]], [[2548edo|2548]], [[2589edo|2589]], [[2601edo|2601]], [[2654edo|2654]], [[2707edo|2707]]
|-
| [[78125/73728]]
| [-13 -2 7⟩
| 100.29
| [[3edo|3]], [[6edo|6]], [[23edo|23]], [[26edo|26]], [[29edo|29]], [[32edo|32]]
|-
| [[78732/78125]]
| [2 9 -7⟩
| 13.40
| [[8edo|8]], [[19edo|19]], [[27edo|27]], [[38edo|38]], [[46edo|46]], [[57edo|57]], [[65edo|65]], [[73edo|73]], [[76edo|76]], [[84edo|84]], [[92edo|92]], [[103edo|103]], [[111edo|111]], [[122edo|122]], [[130edo|130]], [[141edo|141]], [[149edo|149]], [[157edo|157]], [[168edo|168]], [[176edo|176]], [[187edo|187]], [[195edo|195]], [[214edo|214]], [[233edo|233]], [[241edo|241]], [[252edo|252]], [[260edo|260]], [[279edo|279]], [[298edo|298]], [[306edo|306]], [[317edo|317]], [[325edo|325]], [[344edo|344]], [[363edo|363]], [[382edo|382]], [[390edo|390]], [[409edo|409]], [[428edo|428]], [[447edo|447]], [[474edo|474]], [[493edo|493]], [[539edo|539]], [[558edo|558]], [[623edo|623]]
|-
| [[82944/78125]]
| [10 4 -7⟩
| 103.62
| [[12edo|12]], [[24edo|24]], [[36edo|36]]
|-
| [[262144/253125]]
| [18 -4 -5⟩
| 60.61
| [[1edo|1]], [[11edo|11]], [[12edo|12]], [[13edo|13]], [[24edo|24]], [[25edo|25]], [[36edo|36]], [[37edo|37]], [[49edo|49]], [[61edo|61]], [[73edo|73]]
|-
| [[273375/262144]]
| [-18 7 3⟩
| 72.63
| [[2edo|2]], [[17edo|17]], [[19edo|19]], [[21edo|21]], [[38edo|38]], [[40edo|40]], [[57edo|57]], [[76edo|76]]
|-
| [[390625/373248]]
| [-9 -6 8⟩
| 78.78
| [[4edo|4]], [[18edo|18]], [[22edo|22]], [[26edo|26]], [[44edo|44]], [[48edo|48]], [[66edo|66]]
|-
| [[393216/390625]]
| [17 1 -8⟩
| 11.45
| [[3edo|3]], [[6edo|6]], [[28edo|28]], [[31edo|31]], [[34edo|34]], [[37edo|37]], [[62edo|62]], [[65edo|65]], [[68edo|68]], [[71edo|71]], [[93edo|93]], [[96edo|96]], [[99edo|99]], [[102edo|102]], [[127edo|127]], [[130edo|130]], [[133edo|133]], [[136edo|136]], [[158edo|158]], [[161edo|161]], [[164edo|164]], [[167edo|167]], [[192edo|192]], [[195edo|195]], [[198edo|198]], [[201edo|201]], [[223edo|223]], [[226edo|226]], [[229edo|229]], [[232edo|232]], [[257edo|257]], [[260edo|260]], [[263edo|263]], [[266edo|266]], [[288edo|288]], [[291edo|291]], [[294edo|294]], [[297edo|297]], [[322edo|322]], [[325edo|325]], [[328edo|328]], [[331edo|331]], [[353edo|353]], [[356edo|356]], [[359edo|359]], [[362edo|362]], [[365edo|365]], [[387edo|387]], [[390edo|390]], [[393edo|393]], [[421edo|421]], [[452edo|452]]
|-
| [[524288/492075]]
| [19 -9 -2⟩
| 109.78
| [[10edo|10]], [[20edo|20]], [[27edo|27]], [[37edo|37]]
|-
| [[531441/500000]]
| [-5 12 -6⟩
| 105.58
| [[12edo|12]], [[24edo|24]], [[36edo|36]]
|-
| [[531441/524288]]
| [-19 12⟩
| 23.46
| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[48edo|48]], [[60edo|60]], [[72edo|72]], [[84edo|84]], [[96edo|96]], [[108edo|108]], [[120edo|120]], [[132edo|132]], [[144edo|144]], [[156edo|156]], [[168edo|168]], [[180edo|180]], [[192edo|192]], [[204edo|204]], [[216edo|216]], [[228edo|228]], [[240edo|240]], [[252edo|252]], [[264edo|264]], [[276edo|276]], [[288edo|288]], [[300edo|300]]
|-
| [[1594323/1562500]]
| [-2 13 -8⟩
| 34.91
| [[19edo|19]], [[38edo|38]], [[39edo|39]], [[57edo|57]], [[58edo|58]], [[76edo|76]], [[77edo|77]], [[96edo|96]], [[115edo|115]], [[134edo|134]], [[153edo|153]], [[154edo|154]], [[173edo|173]], [[192edo|192]], [[211edo|211]], [[269edo|269]], [[288edo|288]]
|-
| [[1600000/1594323]]
| [9 -13 5⟩
| 6.15
| [[7edo|7]], [[39edo|39]], [[46edo|46]], [[53edo|53]], [[60edo|60]], [[92edo|92]], [[99edo|99]], [[106edo|106]], [[113edo|113]], [[145edo|145]], [[152edo|152]], [[159edo|159]], [[166edo|166]], [[198edo|198]], [[205edo|205]], [[212edo|212]], [[244edo|244]], [[251edo|251]], [[258edo|258]], [[265edo|265]], [[297edo|297]], [[304edo|304]], [[311edo|311]], [[318edo|318]], [[350edo|350]], [[357edo|357]], [[364edo|364]], [[371edo|371]], [[403edo|403]], [[410edo|410]], [[417edo|417]], [[424edo|424]], [[449edo|449]], [[456edo|456]], [[463edo|463]], [[470edo|470]], [[502edo|502]], [[509edo|509]], [[516edo|516]], [[523edo|523]], [[555edo|555]], [[562edo|562]], [[569edo|569]], [[576edo|576]], [[608edo|608]], [[615edo|615]], [[622edo|622]], [[629edo|629]], [[654edo|654]], [[661edo|661]], [[668edo|668]], [[675edo|675]], [[707edo|707]], [[714edo|714]], [[721edo|721]], [[728edo|728]], [[760edo|760]], [[767edo|767]], [[774edo|774]], [[781edo|781]], [[813edo|813]], [[820edo|820]], [[827edo|827]], [[834edo|834]], [[866edo|866]], [[873edo|873]], [[880edo|880]], [[919edo|919]], [[926edo|926]], [[933edo|933]], [[972edo|972]], [[979edo|979]], [[986edo|986]], [[1025edo|1025]], [[1032edo|1032]], [[1039edo|1039]], [[1078edo|1078]], [[1085edo|1085]], [[1131edo|1131]], [[1138edo|1138]], [[1177edo|1177]], [[1184edo|1184]], [[1191edo|1191]], [[1230edo|1230]], [[1237edo|1237]], [[1244edo|1244]], [[1283edo|1283]], [[1290edo|1290]], [[1336edo|1336]], [[1343edo|1343]], [[1389edo|1389]], [[1396edo|1396]], [[1442edo|1442]], [[1449edo|1449]], [[1495edo|1495]], [[1548edo|1548]], [[1601edo|1601]], [[1654edo|1654]]
|-
| [[1638400/1594323]]
| [16 -13 2⟩
| 47.21
| [[5edo|5]], [[29edo|29]], [[34edo|34]], [[39edo|39]], [[63edo|63]], [[68edo|68]], [[73edo|73]], [[97edo|97]], [[102edo|102]], [[131edo|131]], [[136edo|136]], [[165edo|165]]
|-
| [[1953125/1889568]]
| [-5 -10 9⟩
| 57.27
| [[15edo|15]], [[26edo|26]], [[30edo|30]], [[41edo|41]], [[56edo|56]], [[71edo|71]], [[82edo|82]], [[97edo|97]], [[112edo|112]], [[138edo|138]]
|-
| [[1990656/1953125]]
| [13 5 -9⟩
| 32.95
| [[15edo|15]], [[16edo|16]], [[30edo|30]], [[31edo|31]], [[46edo|46]], [[47edo|47]], [[61edo|61]], [[62edo|62]], [[77edo|77]], [[92edo|92]], [[93edo|93]], [[108edo|108]], [[123edo|123]], [[139edo|139]], [[154edo|154]], [[170edo|170]], [[185edo|185]], [[216edo|216]], [[247edo|247]]
|-
| [[2109375/2097152]]
| [-21 3 7⟩
| 10.06
| [[9edo|9]], [[13edo|13]], [[22edo|22]], [[31edo|31]], [[40edo|40]], [[44edo|44]], [[53edo|53]], [[62edo|62]], [[66edo|66]], [[75edo|75]], [[84edo|84]], [[93edo|93]], [[97edo|97]], [[106edo|106]], [[115edo|115]], [[119edo|119]], [[128edo|128]], [[137edo|137]], [[146edo|146]], [[150edo|150]], [[159edo|159]], [[168edo|168]], [[172edo|172]], [[181edo|181]], [[190edo|190]], [[199edo|199]], [[203edo|203]], [[212edo|212]], [[221edo|221]], [[225edo|225]], [[234edo|234]], [[243edo|243]], [[252edo|252]], [[256edo|256]], [[265edo|265]], [[274edo|274]], [[278edo|278]], [[287edo|287]], [[296edo|296]], [[305edo|305]], [[309edo|309]], [[318edo|318]], [[327edo|327]], [[340edo|340]], [[349edo|349]], [[358edo|358]], [[371edo|371]], [[380edo|380]], [[402edo|402]], [[411edo|411]], [[424edo|424]], [[433edo|433]], [[455edo|455]], [[464edo|464]], [[486edo|486]], [[517edo|517]], [[570edo|570]]
|-
| [[4428675/4194304]]
| [-22 11 2⟩
| 94.13
| [[14edo|14]], [[19edo|19]], [[33edo|33]], [[38edo|38]], [[52edo|52]], [[57edo|57]], [[76edo|76]]
|-
| [[5000000/4782969]]
| [6 -14 7⟩
| 76.83
| [[7edo|7]], [[42edo|42]], [[49edo|49]], [[56edo|56]], [[63edo|63]], [[112edo|112]], [[119edo|119]]
|-
| [[8388608/7971615]]
| [23 -13 -1⟩
| 88.27
| [[22edo|22]], [[39edo|39]], [[44edo|44]], [[61edo|61]], [[66edo|66]], [[83edo|83]]
|-
| [[9765625/9565938]]
| [-1 -14 10⟩
| 35.77
| [[8edo|8]], [[26edo|26]], [[34edo|34]], [[42edo|42]], [[60edo|60]], [[68edo|68]], [[94edo|94]], [[102edo|102]], [[128edo|128]], [[136edo|136]], [[162edo|162]], [[196edo|196]], [[222edo|222]], [[230edo|230]], [[256edo|256]], [[290edo|290]], [[324edo|324]]
|-
| [[10077696/9765625]]
| [9 9 -10⟩
| 54.46
| [[4edo|4]], [[27edo|27]], [[31edo|31]], [[35edo|35]], [[58edo|58]], [[62edo|62]], [[89edo|89]], [[93edo|93]], [[120edo|120]], [[151edo|151]], [[182edo|182]]
|-
| [[17578125/16777216]]
| [-24 2 9⟩
| 80.73
| [[13edo|13]], [[19edo|19]], [[32edo|32]], [[38edo|38]], [[51edo|51]], [[57edo|57]], [[76edo|76]]
|-
| [[33554432/31640625]]
| [25 -4 -8⟩
| 101.67
| [[12edo|12]], [[24edo|24]], [[36edo|36]]
|-
| [[34171875/33554432]]
| [-25 7 6⟩
| 31.57
| [[10edo|10]], [[11edo|11]], [[20edo|20]], [[21edo|21]], [[31edo|31]], [[41edo|41]], [[51edo|51]], [[52edo|52]], [[62edo|62]], [[72edo|72]], [[82edo|82]], [[93edo|93]], [[103edo|103]], [[113edo|113]], [[134edo|134]], [[144edo|144]], [[175edo|175]]
|-
| [[43046721/41943040]]
| [-23 16 -1⟩
| 44.97
| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[79edo|79]], [[91edo|91]], [[103edo|103]], [[115edo|115]], [[127edo|127]], [[139edo|139]], [[151edo|151]], [[194edo|194]]
|-
| [[48828125/47775744]]
| [-16 -6 11⟩
| 37.72
| [[18edo|18]], [[19edo|19]], [[37edo|37]], [[38edo|38]], [[56edo|56]], [[57edo|57]], [[75edo|75]], [[76edo|76]], [[94edo|94]], [[112edo|112]], [[113edo|113]], [[131edo|131]], [[132edo|132]], [[150edo|150]], [[169edo|169]], [[206edo|206]], [[225edo|225]]
|-
| [[50331648/48828125]]
| [24 1 -11⟩
| 52.50
| [[3edo|3]], [[6edo|6]], [[40edo|40]], [[43edo|43]], [[46edo|46]], [[49edo|49]], [[86edo|86]], [[89edo|89]], [[92edo|92]], [[95edo|95]], [[129edo|129]]
|-
| [[51018336/48828125]]
| [5 13 -11⟩
| 75.96
| [[8edo|8]], [[23edo|23]], [[31edo|31]], [[39edo|39]], [[62edo|62]], [[70edo|70]], [[93edo|93]], [[101edo|101]]
|-
| [[67108864/66430125]]
| [26 -12 -3⟩
| 17.60
| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[51edo|51]], [[63edo|63]], [[75edo|75]], [[87edo|87]], [[99edo|99]], [[111edo|111]], [[123edo|123]], [[138edo|138]], [[150edo|150]], [[162edo|162]], [[174edo|174]], [[186edo|186]], [[198edo|198]], [[210edo|210]], [[225edo|225]], [[237edo|237]], [[249edo|249]], [[261edo|261]], [[273edo|273]], [[285edo|285]], [[297edo|297]], [[312edo|312]], [[324edo|324]], [[336edo|336]], [[348edo|348]], [[360edo|360]], [[372edo|372]], [[384edo|384]], [[471edo|471]]
|-
| [[129140163/125000000]]
| [-6 17 -9⟩
| 56.41
| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[70edo|70]], [[76edo|76]], [[89edo|89]], [[108edo|108]], [[127edo|127]], [[146edo|146]], [[216edo|216]], [[235edo|235]]
|-
| [[129140163/128000000]]
| [-13 17 -6⟩
| 15.35
| [[7edo|7]], [[58edo|58]], [[65edo|65]], [[72edo|72]], [[79edo|79]], [[123edo|123]], [[130edo|130]], [[137edo|137]], [[144edo|144]], [[188edo|188]], [[195edo|195]], [[202edo|202]], [[209edo|209]], [[260edo|260]], [[267edo|267]], [[274edo|274]], [[281edo|281]], [[325edo|325]], [[332edo|332]], [[339edo|339]], [[346edo|346]], [[390edo|390]], [[397edo|397]], [[404edo|404]], [[411edo|411]], [[462edo|462]], [[469edo|469]], [[476edo|476]], [[527edo|527]], [[534edo|534]], [[541edo|541]], [[592edo|592]], [[599edo|599]], [[606edo|606]], [[657edo|657]], [[664edo|664]], [[729edo|729]], [[794edo|794]], [[859edo|859]]
|-
| [[131072000/129140163]]
| [20 -17 3⟩
| 25.71
| [[5edo|5]], [[41edo|41]], [[46edo|46]], [[82edo|82]], [[87edo|87]], [[92edo|92]], [[128edo|128]], [[133edo|133]], [[169edo|169]], [[174edo|174]], [[179edo|179]], [[215edo|215]], [[220edo|220]], [[256edo|256]], [[261edo|261]], [[266edo|266]], [[302edo|302]], [[307edo|307]], [[343edo|343]], [[348edo|348]], [[389edo|389]], [[430edo|430]]
|-
| [[134217728/129140163]]
| [27 -17⟩
| 66.76
| [[17edo|17]], [[34edo|34]], [[51edo|51]], [[68edo|68]], [[85edo|85]], [[102edo|102]], [[119edo|119]], [[136edo|136]]
|-
| [[244140625/229582512]]
| [-4 -15 12⟩
| 106.44
| [[15edo|15]], [[30edo|30]], [[48edo|48]], [[63edo|63]], [[78edo|78]]
|-
| [[254803968/244140625]]
| [20 5 -12⟩
| 74.01
| [[15edo|15]], [[28edo|28]], [[30edo|30]], [[43edo|43]], [[58edo|58]], [[73edo|73]], [[86edo|86]], [[101edo|101]], [[129edo|129]]
|-
| [[258280326/244140625]]
| [1 17 -12⟩
| 97.47
| [[31edo|31]], [[62edo|62]], [[93edo|93]]
|-
| [[268435456/263671875]]
| [28 -3 -10⟩
| 31.00
| [[9edo|9]], [[25edo|25]], [[34edo|34]], [[43edo|43]], [[52edo|52]], [[59edo|59]], [[68edo|68]], [[77edo|77]], [[86edo|86]], [[102edo|102]], [[111edo|111]], [[120edo|120]], [[129edo|129]], [[136edo|136]], [[145edo|145]], [[154edo|154]], [[179edo|179]], [[188edo|188]], [[213edo|213]]
|-
| [[390625000/387420489]]
| [3 -18 11⟩
| 14.26
| [[26edo|26]], [[27edo|27]], [[53edo|53]], [[79edo|79]], [[80edo|80]], [[106edo|106]], [[132edo|132]], [[133edo|133]], [[159edo|159]], [[160edo|160]], [[186edo|186]], [[212edo|212]], [[213edo|213]], [[239edo|239]], [[265edo|265]], [[266edo|266]], [[292edo|292]], [[318edo|318]], [[319edo|319]], [[345edo|345]], [[371edo|371]], [[372edo|372]], [[398edo|398]], [[424edo|424]], [[425edo|425]], [[451edo|451]], [[478edo|478]], [[504edo|504]], [[531edo|531]], [[557edo|557]], [[584edo|584]], [[610edo|610]], [[637edo|637]], [[663edo|663]], [[690edo|690]], [[743edo|743]], [[796edo|796]], [[849edo|849]], [[902edo|902]], [[955edo|955]]
|-
| [[409600000/387420489]]
| [17 -18 5⟩
| 96.38
| [[27edo|27]], [[29edo|29]], [[56edo|56]], [[83edo|83]], [[85edo|85]], [[112edo|112]]
|-
| [[536870912/512578125]]
| [29 -8 -7⟩
| 80.16
| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[59edo|59]], [[71edo|71]], [[83edo|83]], [[95edo|95]]
|-
| [[553584375/536870912]]
| [-29 11 5⟩
| 53.07
| [[2edo|2]], [[29edo|29]], [[31edo|31]], [[33edo|33]], [[60edo|60]], [[62edo|62]], [[64edo|64]], [[91edo|91]], [[93edo|93]], [[122edo|122]], [[153edo|153]]
|-
| [[1220703125/1146617856]]
| [-19 -7 13⟩
| 108.39
| [[22edo|22]], [[23edo|23]], [[44edo|44]], [[45edo|45]], [[66edo|66]]
|-
| [[1220703125/1162261467]]
| [0 -19 13⟩
| 84.93
| [[8edo|8]], [[41edo|41]], [[49edo|49]], [[82edo|82]], [[90edo|90]], [[131edo|131]], [[172edo|172]]
|-
| [[1220703125/1207959552]]
| [-27 -2 13⟩
| 18.17
| [[3edo|3]], [[6edo|6]], [[47edo|47]], [[50edo|50]], [[53edo|53]], [[56edo|56]], [[59edo|59]], [[100edo|100]], [[103edo|103]], [[106edo|106]], [[109edo|109]], [[112edo|112]], [[153edo|153]], [[156edo|156]], [[159edo|159]], [[162edo|162]], [[165edo|165]], [[209edo|209]], [[212edo|212]], [[215edo|215]], [[218edo|218]], [[262edo|262]], [[265edo|265]], [[268edo|268]], [[271edo|271]], [[315edo|315]], [[318edo|318]], [[321edo|321]], [[324edo|324]], [[368edo|368]], [[371edo|371]], [[374edo|374]], [[377edo|377]], [[424edo|424]], [[427edo|427]], [[430edo|430]], [[483edo|483]]
|-
| [[1224440064/1220703125]]
| [8 14 -13⟩
| 5.29
| [[19edo|19]], [[38edo|38]], [[42edo|42]], [[57edo|57]], [[61edo|61]], [[76edo|76]], [[80edo|80]], [[99edo|99]], [[118edo|118]], [[137edo|137]], [[156edo|156]], [[160edo|160]], [[175edo|175]], [[179edo|179]], [[194edo|194]], [[198edo|198]], [[217edo|217]], [[236edo|236]], [[255edo|255]], [[274edo|274]], [[293edo|293]], [[297edo|297]], [[316edo|316]], [[335edo|335]], [[354edo|354]], [[373edo|373]], [[392edo|392]], [[411edo|411]], [[415edo|415]], [[434edo|434]], [[453edo|453]], [[472edo|472]], [[491edo|491]], [[510edo|510]], [[529edo|529]], [[533edo|533]], [[552edo|552]], [[571edo|571]], [[590edo|590]], [[609edo|609]], [[628edo|628]], [[647edo|647]], [[651edo|651]], [[670edo|670]], [[689edo|689]], [[708edo|708]], [[727edo|727]], [[746edo|746]], [[765edo|765]], [[769edo|769]], [[788edo|788]], [[807edo|807]], [[826edo|826]], [[845edo|845]], [[864edo|864]], [[887edo|887]], [[906edo|906]], [[925edo|925]], [[944edo|944]], [[963edo|963]], [[982edo|982]], [[1005edo|1005]], [[1024edo|1024]], [[1043edo|1043]], [[1062edo|1062]], [[1081edo|1081]], [[1100edo|1100]], [[1123edo|1123]], [[1142edo|1142]], [[1161edo|1161]], [[1180edo|1180]], [[1199edo|1199]], [[1218edo|1218]], [[1241edo|1241]], [[1260edo|1260]], [[1279edo|1279]], [[1298edo|1298]], [[1317edo|1317]], [[1359edo|1359]], [[1378edo|1378]], [[1397edo|1397]], [[1416edo|1416]], [[1435edo|1435]], [[1496edo|1496]], [[1515edo|1515]], [[1534edo|1534]], [[1553edo|1553]], [[1614edo|1614]], [[1633edo|1633]], [[1652edo|1652]], [[1671edo|1671]], [[1732edo|1732]], [[1751edo|1751]], [[1770edo|1770]], [[1789edo|1789]], [[1850edo|1850]], [[1869edo|1869]], [[1888edo|1888]], [[1968edo|1968]], [[1987edo|1987]], [[2006edo|2006]], [[2086edo|2086]], [[2105edo|2105]], [[2124edo|2124]], [[2204edo|2204]], [[2223edo|2223]], [[2242edo|2242]], [[2322edo|2322]], [[2341edo|2341]], [[2440edo|2440]], [[2459edo|2459]], [[2577edo|2577]], [[2695edo|2695]], [[2813edo|2813]]
|-
| [[1289945088/1220703125]]
| [16 9 -13⟩
| 95.52
| [[16edo|16]], [[27edo|27]], [[43edo|43]], [[70edo|70]], [[86edo|86]], [[129edo|129]]
|-
| [[2197265625/2147483648]]
| [-31 2 12⟩
| 39.67
| [[22edo|22]], [[28edo|28]], [[44edo|44]], [[50edo|50]], [[66edo|66]], [[72edo|72]], [[94edo|94]], [[100edo|100]], [[116edo|116]], [[122edo|122]], [[138edo|138]], [[144edo|144]], [[166edo|166]], [[194edo|194]]
|-
| [[3486784401/3355443200]]
| [-27 20 -2⟩
| 66.47
| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[110edo|110]], [[122edo|122]], [[134edo|134]], [[146edo|146]], [[158edo|158]], [[170edo|170]], [[182edo|182]]
|-
| [[4294967296/4271484375]]
| [32 -7 -9⟩
| 9.49
| [[1edo|1]], [[21edo|21]], [[22edo|22]], [[43edo|43]], [[44edo|44]], [[64edo|64]], [[65edo|65]], [[66edo|66]], [[86edo|86]], [[87edo|87]], [[108edo|108]], [[109edo|109]], [[129edo|129]], [[130edo|130]], [[131edo|131]], [[151edo|151]], [[152edo|152]], [[173edo|173]], [[174edo|174]], [[195edo|195]], [[196edo|196]], [[216edo|216]], [[217edo|217]], [[218edo|218]], [[238edo|238]], [[239edo|239]], [[260edo|260]], [[261edo|261]], [[282edo|282]], [[283edo|283]], [[303edo|303]], [[304edo|304]], [[325edo|325]], [[326edo|326]], [[347edo|347]], [[348edo|348]], [[369edo|369]], [[390edo|390]], [[391edo|391]], [[412edo|412]], [[413edo|413]], [[434edo|434]], [[456edo|456]], [[477edo|477]], [[478edo|478]], [[499edo|499]], [[521edo|521]], [[543edo|543]], [[564edo|564]], [[565edo|565]], [[586edo|586]], [[608edo|608]], [[630edo|630]], [[651edo|651]], [[673edo|673]], [[695edo|695]], [[716edo|716]], [[738edo|738]], [[760edo|760]], [[803edo|803]], [[825edo|825]], [[890edo|890]], [[977edo|977]]
|-
| [[6103515625/5804752896]]
| [-15 -11 14⟩
| 86.89
| [[4edo|4]], [[37edo|37]], [[41edo|41]], [[45edo|45]], [[78edo|78]], [[82edo|82]], [[119edo|119]]
|-
| [[6115295232/6103515625]]
| [23 6 -14⟩
| 3.34
| [[16edo|16]], [[18edo|18]], [[34edo|34]], [[50edo|50]], [[68edo|68]], [[84edo|84]], [[100edo|100]], [[102edo|102]], [[118edo|118]], [[134edo|134]], [[136edo|136]], [[152edo|152]], [[168edo|168]], [[186edo|186]], [[202edo|202]], [[220edo|220]], [[236edo|236]], [[252edo|252]], [[254edo|254]], [[270edo|270]], [[286edo|286]], [[304edo|304]], [[320edo|320]], [[338edo|338]], [[354edo|354]], [[370edo|370]], [[372edo|372]], [[388edo|388]], [[404edo|404]], [[422edo|422]], [[438edo|438]], [[456edo|456]], [[472edo|472]], [[488edo|488]], [[490edo|490]], [[506edo|506]], [[522edo|522]], [[524edo|524]], [[540edo|540]], [[556edo|556]], [[574edo|574]], [[590edo|590]], [[606edo|606]], [[608edo|608]], [[624edo|624]], [[640edo|640]], [[642edo|642]], [[658edo|658]], [[674edo|674]], [[692edo|692]], [[708edo|708]], [[726edo|726]], [[742edo|742]], [[758edo|758]], [[760edo|760]], [[776edo|776]], [[792edo|792]], [[810edo|810]], [[826edo|826]], [[844edo|844]], [[860edo|860]], [[876edo|876]], [[878edo|878]], [[894edo|894]], [[910edo|910]], [[928edo|928]], [[944edo|944]], [[962edo|962]], [[978edo|978]], [[994edo|994]], [[996edo|996]], [[1012edo|1012]], [[1028edo|1028]], [[1030edo|1030]], [[1046edo|1046]], [[1062edo|1062]], [[1080edo|1080]], [[1096edo|1096]], [[1112edo|1112]], [[1114edo|1114]], [[1130edo|1130]], [[1146edo|1146]], [[1148edo|1148]], [[1164edo|1164]], [[1180edo|1180]], [[1198edo|1198]], [[1214edo|1214]], [[1232edo|1232]], [[1248edo|1248]], [[1264edo|1264]], [[1266edo|1266]], [[1282edo|1282]], [[1298edo|1298]], [[1316edo|1316]], [[1332edo|1332]], [[1350edo|1350]], [[1366edo|1366]], [[1382edo|1382]], [[1384edo|1384]], [[1400edo|1400]], [[1416edo|1416]], [[1434edo|1434]], [[1450edo|1450]], [[1468edo|1468]], [[1484edo|1484]], [[1500edo|1500]], [[1502edo|1502]], [[1518edo|1518]], [[1534edo|1534]], [[1552edo|1552]], [[1568edo|1568]], [[1586edo|1586]], [[1602edo|1602]], [[1618edo|1618]], [[1620edo|1620]], [[1636edo|1636]], [[1652edo|1652]], [[1670edo|1670]], [[1686edo|1686]], [[1704edo|1704]], [[1720edo|1720]], [[1736edo|1736]], [[1738edo|1738]], [[1754edo|1754]], [[1770edo|1770]], [[1788edo|1788]], [[1804edo|1804]], [[1822edo|1822]], [[1838edo|1838]], [[1872edo|1872]], [[1888edo|1888]], [[1906edo|1906]], [[1922edo|1922]], [[1940edo|1940]], [[1956edo|1956]], [[1990edo|1990]], [[2006edo|2006]], [[2024edo|2024]], [[2040edo|2040]], [[2058edo|2058]], [[2074edo|2074]], [[2108edo|2108]], [[2124edo|2124]], [[2142edo|2142]], [[2158edo|2158]], [[2176edo|2176]], [[2192edo|2192]], [[2226edo|2226]], [[2242edo|2242]], [[2260edo|2260]], [[2276edo|2276]], [[2294edo|2294]], [[2310edo|2310]], [[2344edo|2344]], [[2378edo|2378]], [[2394edo|2394]], [[2428edo|2428]], [[2462edo|2462]], [[2496edo|2496]], [[2512edo|2512]], [[2546edo|2546]], [[2580edo|2580]], [[2614edo|2614]], [[2630edo|2630]], [[2664edo|2664]], [[2698edo|2698]], [[2732edo|2732]], [[2748edo|2748]], [[2782edo|2782]], [[2816edo|2816]], [[2900edo|2900]], [[2934edo|2934]], [[3018edo|3018]], [[3052edo|3052]], [[3136edo|3136]], [[3170edo|3170]], [[3254edo|3254]], [[3372edo|3372]]
|-
| [[6442450944/6103515625]]
| [31 1 -14⟩
| 93.56
| [[3edo|3]], [[6edo|6]], [[52edo|52]], [[55edo|55]], [[58edo|58]], [[61edo|61]]
|-
| [[8968066875/8589934592]]
| [-33 15 4⟩
| 74.58
| [[14edo|14]], [[17edo|17]], [[31edo|31]], [[48edo|48]], [[62edo|62]], [[79edo|79]], [[93edo|93]], [[110edo|110]], [[141edo|141]]
|-
| [[10460353203/10000000000]]
| [-10 21 -10⟩
| 77.92
| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[76edo|76]], [[101edo|101]], [[120edo|120]], [[139edo|139]], [[158edo|158]]
|-
| [[10460353203/10240000000]]
| [-17 21 -7⟩
| 36.86
| [[7edo|7]], [[70edo|70]], [[77edo|77]], [[84edo|84]], [[91edo|91]], [[154edo|154]], [[161edo|161]], [[168edo|168]], [[175edo|175]], [[238edo|238]], [[245edo|245]], [[252edo|252]], [[322edo|322]], [[329edo|329]], [[406edo|406]]
|-
| [[10485760000/10460353203]]
| [24 -21 4⟩
| 4.20
| [[5edo|5]], [[48edo|48]], [[53edo|53]], [[58edo|58]], [[106edo|106]], [[111edo|111]], [[159edo|159]], [[164edo|164]], [[212edo|212]], [[217edo|217]], [[265edo|265]], [[270edo|270]], [[275edo|275]], [[318edo|318]], [[323edo|323]], [[328edo|328]], [[371edo|371]], [[376edo|376]], [[381edo|381]], [[424edo|424]], [[429edo|429]], [[434edo|434]], [[482edo|482]], [[487edo|487]], [[535edo|535]], [[540edo|540]], [[588edo|588]], [[593edo|593]], [[598edo|598]], [[641edo|641]], [[646edo|646]], [[651edo|651]], [[694edo|694]], [[699edo|699]], [[704edo|704]], [[747edo|747]], [[752edo|752]], [[757edo|757]], [[805edo|805]], [[810edo|810]], [[858edo|858]], [[863edo|863]], [[911edo|911]], [[916edo|916]], [[964edo|964]], [[969edo|969]], [[974edo|974]], [[1017edo|1017]], [[1022edo|1022]], [[1027edo|1027]], [[1070edo|1070]], [[1075edo|1075]], [[1080edo|1080]], [[1128edo|1128]], [[1133edo|1133]], [[1181edo|1181]], [[1186edo|1186]], [[1234edo|1234]], [[1239edo|1239]], [[1287edo|1287]], [[1292edo|1292]], [[1297edo|1297]], [[1340edo|1340]], [[1345edo|1345]], [[1350edo|1350]], [[1393edo|1393]], [[1398edo|1398]], [[1403edo|1403]], [[1451edo|1451]], [[1456edo|1456]], [[1504edo|1504]], [[1509edo|1509]], [[1557edo|1557]], [[1562edo|1562]], [[1610edo|1610]], [[1615edo|1615]], [[1620edo|1620]], [[1663edo|1663]], [[1668edo|1668]], [[1673edo|1673]], [[1716edo|1716]], [[1721edo|1721]], [[1726edo|1726]], [[1769edo|1769]], [[1774edo|1774]], [[1779edo|1779]], [[1827edo|1827]], [[1832edo|1832]], [[1880edo|1880]], [[1885edo|1885]], [[1933edo|1933]], [[1938edo|1938]], [[1943edo|1943]], [[1986edo|1986]], [[1991edo|1991]], [[1996edo|1996]], [[2039edo|2039]], [[2044edo|2044]], [[2049edo|2049]], [[2092edo|2092]], [[2097edo|2097]], [[2102edo|2102]], [[2150edo|2150]], [[2155edo|2155]], [[2203edo|2203]], [[2208edo|2208]], [[2256edo|2256]], [[2261edo|2261]], [[2309edo|2309]], [[2314edo|2314]], [[2319edo|2319]], [[2362edo|2362]], [[2367edo|2367]], [[2372edo|2372]], [[2415edo|2415]], [[2420edo|2420]], [[2425edo|2425]], [[2473edo|2473]], [[2478edo|2478]], [[2526edo|2526]], [[2531edo|2531]], [[2579edo|2579]], [[2584edo|2584]], [[2632edo|2632]], [[2637edo|2637]], [[2685edo|2685]], [[2690edo|2690]], [[2738edo|2738]], [[2743edo|2743]], [[2796edo|2796]], [[2849edo|2849]], [[2902edo|2902]], [[2955edo|2955]], [[3008edo|3008]], [[3061edo|3061]], [[3114edo|3114]], [[3172edo|3172]], [[3225edo|3225]], [[3278edo|3278]], [[3331edo|3331]], [[3384edo|3384]], [[3437edo|3437]]
|-
| [[10737418240/10460353203]]
| [31 -21 1⟩
| 45.26
| [[29edo|29]], [[46edo|46]], [[75edo|75]], [[92edo|92]], [[104edo|104]], [[121edo|121]], [[150edo|150]], [[167edo|167]], [[196edo|196]], [[213edo|213]], [[225edo|225]], [[242edo|242]], [[271edo|271]]
|-
| [[17179869184/16142520375]]
| [34 -17 -3⟩
| 107.82
| [[22edo|22]], [[44edo|44]], [[66edo|66]], [[73edo|73]], [[95edo|95]]
|-
| [[17433922005/17179869184]]
| [-34 20 1⟩
| 25.41
| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[113edo|113]], [[125edo|125]], [[137edo|137]], [[149edo|149]], [[161edo|161]], [[173edo|173]], [[185edo|185]], [[250edo|250]], [[262edo|262]], [[274edo|274]], [[286edo|286]], [[298edo|298]], [[310edo|310]], [[322edo|322]], [[334edo|334]], [[399edo|399]], [[411edo|411]], [[423edo|423]], [[435edo|435]], [[447edo|447]], [[459edo|459]]
|-
| [[18310546875/17179869184]]
| [-34 1 14⟩
| 110.35
| [[19edo|19]], [[38edo|38]], [[54edo|54]], [[57edo|57]], [[76edo|76]]
|-
| [[30517578125/29386561536]]
| [-11 -15 15⟩
| 65.38
| [[15edo|15]], [[30edo|30]], [[45edo|45]], [[60edo|60]], [[75edo|75]], [[90edo|90]], [[135edo|135]], [[150edo|150]], [[165edo|165]], [[225edo|225]]
|-
| [[30958682112/30517578125]]
| [19 10 -15⟩
| 24.84
| [[15edo|15]], [[30edo|30]], [[35edo|35]], [[50edo|50]], [[65edo|65]], [[80edo|80]], [[95edo|95]], [[100edo|100]], [[115edo|115]], [[130edo|130]], [[145edo|145]], [[160edo|160]], [[180edo|180]], [[195edo|195]], [[210edo|210]], [[245edo|245]], [[260edo|260]], [[275edo|275]], [[310edo|310]], [[325edo|325]], [[375edo|375]], [[390edo|390]], [[440edo|440]], [[505edo|505]]
|-
| [[31381059609/30517578125]]
| [0 22 -15⟩
| 48.30
| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[76edo|76]], [[123edo|123]], [[142edo|142]], [[161edo|161]], [[180edo|180]], [[199edo|199]], [[303edo|303]], [[322edo|322]], [[341edo|341]]
|-
| [[31381059609/31250000000]]
| [-7 22 -12⟩
| 7.25
| [[26edo|26]], [[46edo|46]], [[72edo|72]], [[92edo|92]], [[118edo|118]], [[144edo|144]], [[164edo|164]], [[190edo|190]], [[210edo|210]], [[236edo|236]], [[262edo|262]], [[282edo|282]], [[308edo|308]], [[328edo|328]], [[354edo|354]], [[380edo|380]], [[400edo|400]], [[426edo|426]], [[446edo|446]], [[472edo|472]], [[498edo|498]], [[518edo|518]], [[544edo|544]], [[564edo|564]], [[570edo|570]], [[590edo|590]], [[616edo|616]], [[636edo|636]], [[662edo|662]], [[682edo|682]], [[688edo|688]], [[708edo|708]], [[734edo|734]], [[754edo|754]], [[780edo|780]], [[800edo|800]], [[806edo|806]], [[826edo|826]], [[852edo|852]], [[872edo|872]], [[898edo|898]], [[918edo|918]], [[944edo|944]], [[970edo|970]], [[990edo|990]], [[1016edo|1016]], [[1036edo|1036]], [[1062edo|1062]], [[1088edo|1088]], [[1108edo|1108]], [[1134edo|1134]], [[1154edo|1154]], [[1180edo|1180]], [[1206edo|1206]], [[1226edo|1226]], [[1252edo|1252]], [[1298edo|1298]], [[1324edo|1324]], [[1344edo|1344]], [[1370edo|1370]], [[1416edo|1416]], [[1462edo|1462]], [[1488edo|1488]], [[1534edo|1534]], [[1580edo|1580]], [[1606edo|1606]], [[1652edo|1652]], [[1698edo|1698]], [[1724edo|1724]], [[1770edo|1770]], [[1816edo|1816]], [[1888edo|1888]], [[1934edo|1934]], [[2006edo|2006]], [[2052edo|2052]], [[2124edo|2124]], [[2170edo|2170]], [[2242edo|2242]], [[2288edo|2288]], [[2406edo|2406]], [[2524edo|2524]], [[2642edo|2642]], [[2760edo|2760]]
|-
| [[32000000000/31381059609]]
| [14 -22 9⟩
| 33.81
| [[7edo|7]], [[73edo|73]], [[80edo|80]], [[87edo|87]], [[94edo|94]], [[160edo|160]], [[167edo|167]], [[174edo|174]], [[181edo|181]], [[254edo|254]], [[261edo|261]], [[268edo|268]], [[348edo|348]], [[355edo|355]], [[442edo|442]]
|-
| [[32768000000/31381059609]]
| [21 -22 6⟩
| 74.87
| [[34edo|34]], [[68edo|68]], [[102edo|102]], [[104edo|104]], [[136edo|136]], [[138edo|138]], [[172edo|172]], [[206edo|206]]
|-
| [[34359738368/32958984375]]
| [35 -3 -13⟩
| 72.06
| [[9edo|9]], [[37edo|37]], [[46edo|46]], [[55edo|55]], [[64edo|64]], [[83edo|83]], [[92edo|92]], [[101edo|101]]
|-
| [[35595703125/34359738368]]
| [-35 6 11⟩
| 61.18
| [[9edo|9]], [[32edo|32]], [[41edo|41]], [[50edo|50]], [[82edo|82]], [[91edo|91]], [[100edo|100]], [[132edo|132]], [[141edo|141]]
|-
| [[69198046875/68719476736]]
| [-36 11 8⟩
| 12.01
| [[10edo|10]], [[20edo|20]], [[33edo|33]], [[43edo|43]], [[53edo|53]], [[63edo|63]], [[86edo|86]], [[96edo|96]], [[106edo|106]], [[116edo|116]], [[129edo|129]], [[139edo|139]], [[149edo|149]], [[159edo|159]], [[169edo|169]], [[182edo|182]], [[192edo|192]], [[202edo|202]], [[212edo|212]], [[222edo|222]], [[235edo|235]], [[245edo|245]], [[255edo|255]], [[265edo|265]], [[288edo|288]], [[298edo|298]], [[308edo|308]], [[318edo|318]], [[341edo|341]], [[351edo|351]], [[361edo|361]], [[371edo|371]], [[394edo|394]], [[404edo|404]], [[414edo|414]], [[424edo|424]], [[447edo|447]], [[457edo|457]], [[467edo|467]], [[500edo|500]], [[510edo|510]], [[520edo|520]], [[553edo|553]], [[563edo|563]], [[573edo|573]], [[606edo|606]], [[616edo|616]], [[659edo|659]], [[669edo|669]], [[712edo|712]], [[722edo|722]], [[765edo|765]], [[775edo|775]], [[818edo|818]]
|-
| [[97656250000/94143178827]]
| [4 -23 14⟩
| 63.43
| [[34edo|34]], [[68edo|68]], [[102edo|102]], [[135edo|135]], [[136edo|136]], [[169edo|169]], [[203edo|203]], [[237edo|237]], [[271edo|271]]
|-
| [[100000000000/94143178827]]
| [11 -23 11⟩
| 104.49
| [[7edo|7]], [[83edo|83]], [[90edo|90]], [[97edo|97]], [[104edo|104]]
|-
| [[137438953472/134521003125]]
| [37 -16 -5⟩
| 37.15
| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[85edo|85]], [[97edo|97]], [[109edo|109]], [[121edo|121]], [[133edo|133]], [[145edo|145]], [[157edo|157]], [[206edo|206]], [[218edo|218]], [[230edo|230]], [[242edo|242]], [[254edo|254]], [[266edo|266]]
|-
| [[145282683375/137438953472]]
| [-37 19 3⟩
| 96.09
| [[31edo|31]], [[62edo|62]], [[93edo|93]]
|-
| [[152587890625/146767085568]]
| [-26 -7 16⟩
| 67.33
| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[59edo|59]], [[76edo|76]], [[78edo|78]], [[97edo|97]], [[116edo|116]], [[135edo|135]]
|-
| [[152587890625/148769467776]]
| [-7 -19 16⟩
| 43.87
| [[34edo|34]], [[45edo|45]], [[68edo|68]], [[79edo|79]], [[102edo|102]], [[113edo|113]], [[136edo|136]], [[147edo|147]], [[181edo|181]], [[215edo|215]], [[249edo|249]], [[283edo|283]], [[396edo|396]], [[430edo|430]]
|-
| [[156728328192/152587890625]]
| [15 14 -16⟩
| 46.35
| [[4edo|4]], [[42edo|42]], [[46edo|46]], [[50edo|50]], [[92edo|92]], [[96edo|96]], [[100edo|100]], [[142edo|142]], [[146edo|146]], [[188edo|188]], [[192edo|192]], [[238edo|238]], [[288edo|288]], [[334edo|334]]
|-
| [[274877906944/261508830075]]
| [38 -21 -2⟩
| 86.32
| [[34edo|34]], [[68edo|68]], [[102edo|102]], [[107edo|107]], [[136edo|136]]
|-
| [[274877906944/274658203125]]
| [38 -2 -15⟩
| 1.38
| [[25edo|25]], [[31edo|31]], [[56edo|56]], [[62edo|62]], [[87edo|87]], [[93edo|93]], [[112edo|112]], [[118edo|118]], [[143edo|143]], [[149edo|149]], [[174edo|174]], [[180edo|180]], [[205edo|205]], [[211edo|211]], [[230edo|230]], [[236edo|236]], [[261edo|261]], [[267edo|267]], [[292edo|292]], [[298edo|298]], [[323edo|323]], [[329edo|329]], [[348edo|348]], [[354edo|354]], [[379edo|379]], [[385edo|385]], [[410edo|410]], [[416edo|416]], [[441edo|441]], [[447edo|447]], [[466edo|466]], [[472edo|472]], [[497edo|497]], [[503edo|503]], [[528edo|528]], [[534edo|534]], [[559edo|559]], [[584edo|584]], [[590edo|590]], [[615edo|615]], [[621edo|621]], [[646edo|646]], [[652edo|652]], [[671edo|671]], [[677edo|677]], [[702edo|702]], [[708edo|708]], [[733edo|733]], [[739edo|739]], [[764edo|764]], [[770edo|770]], [[789edo|789]], [[795edo|795]], [[820edo|820]], [[826edo|826]], [[851edo|851]], [[857edo|857]], [[882edo|882]], [[888edo|888]], [[907edo|907]], [[913edo|913]], [[938edo|938]], [[944edo|944]], [[969edo|969]], [[975edo|975]], [[1000edo|1000]], [[1006edo|1006]], [[1025edo|1025]], [[1031edo|1031]], [[1056edo|1056]], [[1062edo|1062]], [[1087edo|1087]], [[1093edo|1093]], [[1118edo|1118]], [[1124edo|1124]], [[1143edo|1143]], [[1149edo|1149]], [[1174edo|1174]], [[1180edo|1180]], [[1205edo|1205]], [[1211edo|1211]], [[1230edo|1230]], [[1236edo|1236]], [[1261edo|1261]], [[1267edo|1267]], [[1292edo|1292]], [[1298edo|1298]], [[1323edo|1323]], [[1329edo|1329]], [[1348edo|1348]], [[1354edo|1354]], [[1379edo|1379]], [[1385edo|1385]], [[1410edo|1410]], [[1416edo|1416]], [[1441edo|1441]], [[1447edo|1447]], [[1466edo|1466]], [[1472edo|1472]], [[1497edo|1497]], [[1503edo|1503]], [[1528edo|1528]], [[1534edo|1534]], [[1559edo|1559]], [[1565edo|1565]], [[1584edo|1584]], [[1590edo|1590]], [[1615edo|1615]], [[1621edo|1621]], [[1646edo|1646]], [[1652edo|1652]], [[1677edo|1677]], [[1683edo|1683]], [[1702edo|1702]], [[1708edo|1708]], [[1733edo|1733]], [[1739edo|1739]], [[1764edo|1764]], [[1770edo|1770]], [[1795edo|1795]], [[1820edo|1820]], [[1826edo|1826]], [[1851edo|1851]], [[1857edo|1857]], [[1882edo|1882]], [[1888edo|1888]], [[1907edo|1907]], [[1913edo|1913]], [[1938edo|1938]], [[1944edo|1944]], [[1969edo|1969]], [[1975edo|1975]], [[2000edo|2000]], [[2006edo|2006]], [[2025edo|2025]], [[2031edo|2031]], [[2056edo|2056]], [[2062edo|2062]], [[2087edo|2087]], [[2093edo|2093]], [[2118edo|2118]], [[2124edo|2124]], [[2143edo|2143]], [[2149edo|2149]], [[2174edo|2174]], [[2180edo|2180]], [[2205edo|2205]], [[2211edo|2211]], [[2236edo|2236]], [[2242edo|2242]], [[2261edo|2261]], [[2267edo|2267]], [[2292edo|2292]], [[2298edo|2298]], [[2323edo|2323]], [[2329edo|2329]], [[2354edo|2354]], [[2379edo|2379]], [[2385edo|2385]], [[2410edo|2410]], [[2416edo|2416]], [[2441edo|2441]], [[2447edo|2447]], [[2466edo|2466]], [[2472edo|2472]], [[2497edo|2497]], [[2503edo|2503]], [[2528edo|2528]], [[2534edo|2534]], [[2559edo|2559]], [[2565edo|2565]], [[2584edo|2584]], [[2590edo|2590]], [[2615edo|2615]], [[2621edo|2621]], [[2646edo|2646]], [[2652edo|2652]], [[2677edo|2677]], [[2683edo|2683]], [[2702edo|2702]], [[2708edo|2708]], [[2733edo|2733]], [[2739edo|2739]], [[2764edo|2764]], [[2770edo|2770]], [[2795edo|2795]], [[2801edo|2801]], [[2820edo|2820]], [[2826edo|2826]], [[2851edo|2851]], [[2857edo|2857]], [[2882edo|2882]], [[2888edo|2888]], [[2913edo|2913]], [[2938edo|2938]], [[2944edo|2944]], [[2969edo|2969]], [[2975edo|2975]], [[3000edo|3000]], [[3006edo|3006]], [[3025edo|3025]], [[3031edo|3031]], [[3056edo|3056]], [[3062edo|3062]], [[3087edo|3087]], [[3093edo|3093]], [[3118edo|3118]], [[3124edo|3124]], [[3143edo|3143]], [[3149edo|3149]], [[3174edo|3174]], [[3180edo|3180]], [[3205edo|3205]], [[3211edo|3211]], [[3236edo|3236]], [[3242edo|3242]], [[3261edo|3261]], [[3267edo|3267]], [[3292edo|3292]], [[3298edo|3298]], [[3323edo|3323]], [[3329edo|3329]], [[3354edo|3354]], [[3360edo|3360]], [[3379edo|3379]], [[3385edo|3385]], [[3410edo|3410]], [[3416edo|3416]], [[3441edo|3441]], [[3447edo|3447]], [[3472edo|3472]], [[3478edo|3478]], [[3497edo|3497]], [[3503edo|3503]], [[3528edo|3528]], [[3534edo|3534]], [[3559edo|3559]], [[3565edo|3565]], [[3584edo|3584]], [[3590edo|3590]], [[3615edo|3615]], [[3621edo|3621]], [[3646edo|3646]], [[3652edo|3652]], [[3677edo|3677]], [[3683edo|3683]], [[3702edo|3702]], [[3708edo|3708]], [[3733edo|3733]], [[3739edo|3739]], [[3764edo|3764]], [[3770edo|3770]], [[3795edo|3795]], [[3801edo|3801]], [[3820edo|3820]], [[3826edo|3826]], [[3851edo|3851]], [[3857edo|3857]], [[3882edo|3882]], [[3888edo|3888]], [[3913edo|3913]], [[3919edo|3919]], [[3938edo|3938]], [[3944edo|3944]], [[3969edo|3969]], [[3975edo|3975]], [[4000edo|4000]], [[4006edo|4006]], [[4031edo|4031]], [[4037edo|4037]], [[4056edo|4056]], [[4062edo|4062]], [[4087edo|4087]], [[4093edo|4093]], [[4118edo|4118]], [[4124edo|4124]], [[4149edo|4149]], [[4174edo|4174]], [[4180edo|4180]], [[4205edo|4205]], [[4211edo|4211]], [[4236edo|4236]], [[4242edo|4242]], [[4261edo|4261]], [[4267edo|4267]], [[4292edo|4292]], [[4298edo|4298]], [[4323edo|4323]], [[4329edo|4329]], [[4354edo|4354]], [[4360edo|4360]], [[4379edo|4379]], [[4385edo|4385]], [[4410edo|4410]], [[4416edo|4416]], [[4441edo|4441]], [[4447edo|4447]], [[4472edo|4472]], [[4478edo|4478]], [[4497edo|4497]], [[4503edo|4503]], [[4528edo|4528]], [[4534edo|4534]], [[4559edo|4559]], [[4565edo|4565]], [[4590edo|4590]], [[4596edo|4596]], [[4615edo|4615]], [[4621edo|4621]], [[4646edo|4646]], [[4652edo|4652]], [[4677edo|4677]], [[4683edo|4683]], [[4708edo|4708]], [[4733edo|4733]], [[4739edo|4739]], [[4764edo|4764]], [[4770edo|4770]], [[4795edo|4795]], [[4801edo|4801]], [[4820edo|4820]], [[4826edo|4826]], [[4851edo|4851]], [[4857edo|4857]], [[4882edo|4882]], [[4888edo|4888]], [[4913edo|4913]], [[4919edo|4919]], [[4938edo|4938]], [[4944edo|4944]], [[4969edo|4969]], [[4975edo|4975]], [[5000edo|5000]], [[5006edo|5006]], [[5031edo|5031]], [[5037edo|5037]], [[5056edo|5056]], [[5062edo|5062]], [[5087edo|5087]], [[5093edo|5093]], [[5118edo|5118]], [[5124edo|5124]], [[5149edo|5149]], [[5155edo|5155]], [[5174edo|5174]], [[5180edo|5180]], [[5205edo|5205]], [[5211edo|5211]], [[5236edo|5236]], [[5242edo|5242]], [[5267edo|5267]], [[5292edo|5292]], [[5298edo|5298]], [[5323edo|5323]], [[5329edo|5329]], [[5354edo|5354]], [[5360edo|5360]], [[5379edo|5379]], [[5385edo|5385]], [[5410edo|5410]], [[5416edo|5416]], [[5441edo|5441]], [[5447edo|5447]], [[5472edo|5472]], [[5478edo|5478]], [[5497edo|5497]], [[5503edo|5503]], [[5528edo|5528]], [[5534edo|5534]], [[5559edo|5559]], [[5565edo|5565]], [[5590edo|5590]], [[5596edo|5596]], [[5615edo|5615]], [[5621edo|5621]], [[5646edo|5646]], [[5652edo|5652]], [[5677edo|5677]], [[5683edo|5683]], [[5708edo|5708]], [[5733edo|5733]], [[5739edo|5739]], [[5764edo|5764]], [[5770edo|5770]], [[5795edo|5795]], [[5801edo|5801]], [[5826edo|5826]], [[5851edo|5851]], [[5857edo|5857]], [[5882edo|5882]], [[5888edo|5888]], [[5913edo|5913]], [[5938edo|5938]], [[5944edo|5944]], [[5969edo|5969]], [[5975edo|5975]], [[6000edo|6000]], [[6006edo|6006]], [[6031edo|6031]], [[6056edo|6056]], [[6062edo|6062]], [[6087edo|6087]], [[6093edo|6093]], [[6118edo|6118]], [[6149edo|6149]], [[6174edo|6174]], [[6180edo|6180]], [[6205edo|6205]], [[6236edo|6236]], [[6267edo|6267]], [[6292edo|6292]], [[6298edo|6298]], [[6323edo|6323]], [[6354edo|6354]], [[6385edo|6385]], [[6410edo|6410]], [[6441edo|6441]], [[6472edo|6472]], [[6497edo|6497]], [[6528edo|6528]], [[6559edo|6559]], [[6590edo|6590]], [[6615edo|6615]], [[6646edo|6646]], [[6677edo|6677]], [[6733edo|6733]], [[6764edo|6764]], [[6795edo|6795]], [[6851edo|6851]], [[6882edo|6882]], [[6969edo|6969]], [[7087edo|7087]], [[7174edo|7174]]
|-
| [[282429536481/268435456000]]
| [-31 24 -3⟩
| 87.98
| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[141edo|141]], [[153edo|153]]
|-
| [[549755813888/533935546875]]
| [39 -7 -12⟩
| 50.55
| [[13edo|13]], [[21edo|21]], [[34edo|34]], [[55edo|55]], [[68edo|68]], [[89edo|89]], [[102edo|102]], [[123edo|123]], [[136edo|136]], [[157edo|157]]
|-
| [[576650390625/549755813888]]
| [-39 10 10⟩
| 82.69
| [[10edo|10]], [[20edo|20]], [[40edo|40]], [[50edo|50]], [[60edo|60]], [[100edo|100]], [[110edo|110]]
|-
| [[762939453125/743008370688]]
| [-22 -11 17⟩
| 45.83
| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[71edo|71]], [[76edo|76]], [[90edo|90]], [[109edo|109]], [[128edo|128]], [[147edo|147]], [[166edo|166]], [[218edo|218]], [[237edo|237]], [[256edo|256]]
|-
| [[762939453125/753145430616]]
| [-3 -23 17⟩
| 22.37
| [[8edo|8]], [[45edo|45]], [[53edo|53]], [[61edo|61]], [[106edo|106]], [[114edo|114]], [[159edo|159]], [[167edo|167]], [[212edo|212]], [[220edo|220]], [[265edo|265]], [[273edo|273]], [[318edo|318]], [[326edo|326]], [[371edo|371]], [[379edo|379]], [[424edo|424]], [[432edo|432]], [[485edo|485]], [[538edo|538]], [[591edo|591]], [[644edo|644]], [[697edo|697]], [[750edo|750]]
|-
| [[782757789696/762939453125]]
| [30 6 -17⟩
| 44.40
| [[18edo|18]], [[31edo|31]], [[49edo|49]], [[62edo|62]], [[80edo|80]], [[93edo|93]], [[111edo|111]], [[142edo|142]], [[160edo|160]], [[173edo|173]], [[204edo|204]], [[235edo|235]]
|-
| [[793437161472/762939453125]]
| [11 18 -17⟩
| 67.86
| [[23edo|23]], [[27edo|27]], [[50edo|50]], [[77edo|77]], [[100edo|100]], [[127edo|127]], [[154edo|154]], [[204edo|204]]
|-
| [[847288609443/800000000000]]
| [-14 25 -11⟩
| 99.42
| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[76edo|76]], [[151edo|151]], [[170edo|170]]
|-
| [[847288609443/819200000000]]
| [-21 25 -8⟩
| 58.37
| [[7edo|7]], [[89edo|89]], [[96edo|96]], [[103edo|103]], [[110edo|110]], [[185edo|185]], [[192edo|192]], [[199edo|199]], [[288edo|288]]
|-
| [[847288609443/838860800000]]
| [-28 25 -5⟩
| 17.31
| [[5edo|5]], [[60edo|60]], [[65edo|65]], [[70edo|70]], [[125edo|125]], [[130edo|130]], [[190edo|190]], [[195edo|195]], [[250edo|250]], [[255edo|255]], [[260edo|260]], [[315edo|315]], [[320edo|320]], [[325edo|325]], [[380edo|380]], [[385edo|385]], [[390edo|390]], [[445edo|445]], [[450edo|450]], [[510edo|510]], [[515edo|515]], [[570edo|570]], [[575edo|575]], [[580edo|580]], [[635edo|635]], [[640edo|640]], [[645edo|645]], [[700edo|700]], [[705edo|705]], [[710edo|710]], [[765edo|765]], [[770edo|770]], [[835edo|835]], [[900edo|900]], [[965edo|965]]
|-
| [[858993459200/847288609443]]
| [35 -25 2⟩
| 23.75
| [[41edo|41]], [[58edo|58]], [[82edo|82]], [[99edo|99]], [[140edo|140]], [[157edo|157]], [[181edo|181]], [[198edo|198]], [[222edo|222]], [[239edo|239]], [[280edo|280]], [[297edo|297]], [[321edo|321]], [[338edo|338]], [[379edo|379]], [[420edo|420]], [[437edo|437]], [[461edo|461]], [[478edo|478]], [[519edo|519]], [[536edo|536]], [[560edo|560]], [[577edo|577]], [[601edo|601]], [[618edo|618]]
|-
| [[1099511627776/1037970703125]]
| [40 -12 -9⟩
| 99.72
| [[12edo|12]], [[24edo|24]], [[36edo|36]]
|-
| [[1121008359375/1099511627776]]
| [-40 15 7⟩
| 33.52
| [[2edo|2]], [[41edo|41]], [[43edo|43]], [[82edo|82]], [[84edo|84]], [[86edo|86]], [[125edo|125]], [[127edo|127]], [[129edo|129]], [[166edo|166]], [[168edo|168]], [[170edo|170]], [[209edo|209]], [[211edo|211]], [[250edo|250]], [[252edo|252]], [[293edo|293]]
|}
 
== Commas with denominator <= 2**16, size <= 2187/2048, and primes <= 7 ==
 
{| class="wikitable sortable"
! [[Ratio]]
! [[Monzo]]
! [[Cent]]s
|-
| [[16/15]]
| [4 -1 -1⟩
| 111.73
|-
| [[21/20]]
| [-2 1 -1 1⟩
| 84.47
|-
| [[25/24]]
| [-3 -1 2⟩
| 70.67
|-
| [[28/27]]
| [2 -3 0 1⟩
| 62.96
|-
| [[36/35]]
| [2 2 -1 -1⟩
| 48.77
|-
| [[49/48]]
| [-4 -1 0 2⟩
| 35.70
|-
| [[50/49]]
| [1 0 2 -2⟩
| 34.98
|-
| [[64/63]]
| [6 -2 0 -1⟩
| 27.26
|-
| [[81/80]]
| [-4 4 -1⟩
| 21.51
|-
| [[126/125]]
| [1 2 -3 1⟩
| 13.79
|-
| [[128/125]]
| [7 0 -3⟩
| 41.06
|-
| [[135/128]]
| [-7 3 1⟩
| 92.18
|-
| [[200/189]]
| [3 -3 2 -1⟩
| 97.94
|-
| [[225/224]]
| [-5 2 2 -1⟩
| 7.71
|-
| [[245/243]]
| [0 -5 1 2⟩
| 14.19
|-
| [[250/243]]
| [1 -5 3⟩
| 49.17
|-
| [[256/243]]
| [8 -5⟩
| 90.22
|-
| [[256/245]]
| [8 0 -1 -2⟩
| 76.03
|-
| [[343/324]]
| [-2 -4 0 3⟩
| 98.66
|-
| [[360/343]]
| [3 2 1 -3⟩
| 83.75
|-
| [[392/375]]
| [3 -1 -3 2⟩
| 76.76
|-
| [[405/392]]
| [-3 4 1 -2⟩
| 56.48
|-
| [[525/512]]
| [-9 1 2 1⟩
| 43.41
|-
| [[625/588]]
| [-2 -1 4 -2⟩
| 105.65
|-
| [[648/625]]
| [3 4 -4⟩
| 62.57
|-
| [[686/675]]
| [1 -3 -2 3⟩
| 27.99
|-
| [[729/686]]
| [-1 6 0 -3⟩
| 105.25
|-
| [[729/700]]
| [-2 6 -2 -1⟩
| 70.28
|-
| [[875/864]]
| [-5 -3 3 1⟩
| 21.90
|-
| [[1029/1000]]
| [-3 1 -3 3⟩
| 49.49
|-
| [[1029/1024]]
| [-10 1 0 3⟩
| 8.43
|-
| [[1225/1152]]
| [-7 -2 2 2⟩
| 106.37
|-
| [[1323/1250]]
| [-1 3 -4 2⟩
| 98.26
|-
| [[1323/1280]]
| [-8 3 -1 2⟩
| 57.20
|-
| [[1701/1600]]
| [-6 5 -2 1⟩
| 105.97
|-
| [[1728/1715]]
| [6 3 -1 -3⟩
| 13.07
|-
| [[1875/1792]]
| [-8 1 4 -1⟩
| 78.38
|-
| [[2048/2025]]
| [11 -4 -2⟩
| 19.55
|-
| [[2187/2048]]
| [-11 7⟩
| 113.69
|-
| [[2240/2187]]
| [6 -7 1 1⟩
| 41.45
|-
| [[2401/2250]]
| [-1 -2 -3 4⟩
| 112.45
|-
| [[2401/2400]]
| [-5 -1 -2 4⟩
| 0.72
|-
| [[2430/2401]]
| [1 5 1 -4⟩
| 20.79
|-
| [[2560/2401]]
| [9 0 1 -4⟩
| 111.01
|-
| [[3125/3024]]
| [-4 -3 5 -1⟩
| 56.88
|-
| [[3125/3072]]
| [-10 -1 5⟩
| 29.61
|-
| [[3125/3087]]
| [0 -2 5 -3⟩
| 21.18
|-
| [[3136/3125]]
| [6 0 -5 2⟩
| 6.08
|-
| [[3200/3087]]
| [7 -2 2 -3⟩
| 62.24
|-
| [[3584/3375]]
| [9 -3 -3 1⟩
| 104.02
|-
| [[3645/3584]]
| [-9 6 1 -1⟩
| 29.22
|-
| [[4000/3969]]
| [5 -4 3 -2⟩
| 13.47
|-
| [[4375/4374]]
| [-1 -7 4 1⟩
| 0.40
|-
| [[4608/4375]]
| [9 2 -4 -1⟩
| 89.83
|-
| [[5103/5000]]
| [-3 6 -4 1⟩
| 35.30
|-
| [[5120/5103]]
| [10 -6 1 -1⟩
| 5.76
|-
| [[5625/5488]]
| [-4 2 4 -3⟩
| 42.69
|-
| [[6125/5832]]
| [-3 -6 3 2⟩
| 84.86
|-
| [[6144/6125]]
| [11 1 -3 -2⟩
| 5.36
|-
| [[6272/6075]]
| [7 -5 -2 2⟩
| 55.25
|-
| [[6561/6250]]
| [-1 8 -5⟩
| 84.07
|-
| [[6561/6272]]
| [-7 8 0 -2⟩
| 77.99
|-
| [[6860/6561]]
| [2 -8 1 3⟩
| 77.15
|-
| [[7000/6561]]
| [3 -8 3 1⟩
| 112.13
|-
| [[8192/7875]]
| [13 -2 -3 -1⟩
| 68.32
|-
| [[8505/8192]]
| [-13 5 1 1⟩
| 64.91
|-
| [[8575/8192]]
| [-13 0 2 3⟩
| 79.11
|-
| [[8748/8575]]
| [2 7 -2 -3⟩
| 34.58
|-
| [[9604/9375]]
| [2 -1 -5 4⟩
| 41.78
|-
| [[10125/9604]]
| [-2 4 3 -4⟩
| 91.46
|-
| [[10976/10935]]
| [5 -7 -1 3⟩
| 6.48
|-
| [[12005/11664]]
| [-4 -6 1 4⟩
| 49.89
|-
| [[12288/12005]]
| [12 1 -1 -4⟩
| 40.34
|-
| [[12500/11907]]
| [2 -5 5 -2⟩
| 84.14
|-
| [[15625/15309]]
| [0 -7 6 -1⟩
| 35.37
|-
| [[15625/15552]]
| [-6 -5 6⟩
| 8.11
|-
| [[16000/15309]]
| [7 -7 3 -1⟩
| 76.43
|-
| [[16128/15625]]
| [8 2 -6 1⟩
| 54.85
|-
| [[16384/15435]]
| [14 -2 -1 -3⟩
| 103.30
|-
| [[16464/15625]]
| [4 1 -6 3⟩
| 90.55
|-
| [[16807/16000]]
| [-7 0 -3 5⟩
| 85.19
|-
| [[16807/16200]]
| [-3 -4 -2 5⟩
| 63.68
|-
| [[16807/16384]]
| [-14 0 0 5⟩
| 44.13
|-
| [[16875/16384]]
| [-14 3 4⟩
| 51.12
|-
| [[16875/16807]]
| [0 3 4 -5⟩
| 6.99
|-
| [[17280/16807]]
| [7 3 1 -5⟩
| 48.05
|-
| [[17496/16807]]
| [3 7 0 -5⟩
| 69.56
|-
| [[19208/18225]]
| [3 -6 -2 4⟩
| 90.95
|-
| [[19683/19208]]
| [-3 9 0 -4⟩
| 42.29
|-
| [[19683/19600]]
| [-4 9 -2 -2⟩
| 7.32
|-
| [[20000/19683]]
| [5 -9 4⟩
| 27.66
|-
| [[20480/19683]]
| [12 -9 1⟩
| 68.72
|-
| [[21609/20480]]
| [-12 2 -1 4⟩
| 92.90
|-
| [[21875/20736]]
| [-8 -4 5 1⟩
| 92.57
|-
| [[23328/21875]]
| [5 6 -5 -1⟩
| 111.34
|-
| [[28672/28125]]
| [12 -2 -5 1⟩
| 33.35
|-
| [[30375/28672]]
| [-12 5 3 -1⟩
| 99.89
|-
| [[31104/30625]]
| [7 5 -4 -2⟩
| 26.87
|-
| [[32805/32768]]
| [-15 8 1⟩
| 1.95
|-
| [[33075/32768]]
| [-15 3 2 2⟩
| 16.14
|-
| [[33614/32805]]
| [1 -8 -1 5⟩
| 42.18
|-
| [[42875/41472]]
| [-9 -4 3 3⟩
| 57.60
|-
| [[46875/43904]]
| [-7 1 6 -3⟩
| 113.36
|-
| [[50421/50000]]
| [-4 1 -5 5⟩
| 14.52
|-
| [[51200/50421]]
| [11 -1 2 -5⟩
| 26.54
|-
| [[57344/54675]]
| [13 -7 -2 1⟩
| 82.51
|-
| [[59049/56000]]
| [-6 10 -3 -1⟩
| 91.78
|-
| [[59049/57344]]
| [-13 10 0 -1⟩
| 50.72
|-
| [[61250/59049]]
| [1 -10 4 2⟩
| 63.36
|-
| [[62208/60025]]
| [8 5 -2 -4⟩
| 61.84
|-
| [[62720/59049]]
| [8 -10 1 2⟩
| 104.42
|-
| [[64827/62500]]
| [-2 3 -6 4⟩
| 63.29
|-
| [[64827/64000]]
| [-9 3 -3 4⟩
| 22.23
|-
| [[65536/64827]]
| [16 -3 0 -4⟩
| 18.83
|-
| [[65625/65536]]
| [-16 1 5 1⟩
| 2.35
|}
 
== Commas with numerator < 10000, size <= 2187/2048, and primes <= 13 ==
 
{| class="wikitable sortable"
! [[Ratio]]
! [[Monzo]]
! [[Cent]]s
|-
| [[16/15]]
| [4 -1 -1⟩
| 111.73
|-
| [[21/20]]
| [-2 1 -1 1⟩
| 84.47
|-
| [[22/21]]
| [1 -1 0 -1 1⟩
| 80.54
|-
| [[25/24]]
| [[25/24]]
| [-3 -1 2⟩
| [-3 -1 2⟩
Line 709: Line 1,726:
| [1 -4 0 2 1 -1⟩
| [1 -4 0 2 1 -1⟩
| 40.62
| 40.62
|-
| [[1089/1024]]
| [-10 2 0 0 2⟩
| 106.55
|-
|-
| [[1089/1040]]
| [[1089/1040]]
Line 801: Line 1,814:
| [-8 2 -1 0 1 1⟩
| [-8 2 -1 0 1 1⟩
| 9.44
| 9.44
|-
| [[1296/1225]]
| [4 4 -2 -2⟩
| 97.54
|-
|-
| [[1323/1250]]
| [[1323/1250]]
Line 961: Line 1,970:
| [0 2 2 1 -2 -1⟩
| [0 2 2 1 -2 -1⟩
| 2.20
| 2.20
|-
| [[1600/1521]]
| [6 -2 2 0 0 -2⟩
| 87.66
|-
|-
| [[1600/1573]]
| [[1600/1573]]
Line 1,125: Line 2,130:
| [1 -1 -4 1 1 1⟩
| [1 -1 -4 1 1 1⟩
| 113.46
| 113.46
|-
| [[2025/1936]]
| [-4 4 2 0 -2⟩
| 77.81
|-
|-
| [[2025/2002]]
| [[2025/2002]]
Line 1,277: Line 2,278:
| [-4 0 0 4 -1 -1⟩
| [-4 0 0 4 -1 -1⟩
| 83.46
| 83.46
|-
| [[2401/2304]]
| [-8 -2 0 4⟩
| 71.39
|-
|-
| [[2401/2340]]
| [[2401/2340]]
Line 1,317: Line 2,314:
| [6 1 0 -4 0 1⟩
| [6 1 0 -4 0 1⟩
| 67.18
| 67.18
|-
| [[2500/2401]]
| [2 0 4 -4⟩
| 69.95
|-
|-
| [[2500/2457]]
| [[2500/2457]]
Line 1,433: Line 2,426:
| [-5 0 2 -1 2 -1⟩
| [-5 0 2 -1 2 -1⟩
| 65.91
| 65.91
|-
| [[3025/2916]]
| [-2 -6 2 0 2⟩
| 63.53
|-
|-
| [[3025/3024]]
| [[3025/3024]]
Line 1,473: Line 2,462:
| [0 -2 5 -3⟩
| [0 -2 5 -3⟩
| 21.18
| 21.18
|-
| [[3136/3025]]
| [6 0 -2 2 -2⟩
| 62.39
|-
|-
| [[3136/3125]]
| [[3136/3125]]
Line 1,701: Line 2,686:
| [12 -3 0 0 -1 -1⟩
| [12 -3 0 0 -1 -1⟩
| 102.29
| 102.29
|-
| [[4096/3969]]
| [12 -4 0 -2⟩
| 54.53
|-
|-
| [[4096/3993]]
| [[4096/3993]]
Line 1,725: Line 2,706:
| [6 -1 1 0 -3 1⟩
| [6 -1 1 0 -3 1⟩
| 70.93
| 70.93
|-
| [[4225/3969]]
| [0 -4 2 -2 0 2⟩
| 108.21
|-
|-
| [[4225/3993]]
| [[4225/3993]]
Line 1,737: Line 2,714:
| [-6 -2 2 -1 0 2⟩
| [-6 -2 2 -1 0 2⟩
| 80.95
| 80.95
|-
| [[4225/4096]]
| [-12 0 2 0 0 2⟩
| 53.68
|-
|-
| [[4225/4116]]
| [[4225/4116]]
Line 1,769: Line 2,742:
| [3 0 -2 2 1 -2⟩
| [3 0 -2 2 1 -2⟩
| 35.29
| 35.29
|-
| [[4356/4225]]
| [2 2 -2 0 2 -2⟩
| 52.86
|-
|-
| [[4374/4225]]
| [[4374/4225]]
Line 2,029: Line 2,998:
| [-4 -3 0 2 2 -1⟩
| [-4 -3 0 2 2 -1⟩
| 93.90
| 93.90
|-
| [[5929/5625]]
| [0 -2 -4 2 2⟩
| 91.12
|-
|-
| [[5929/5760]]
| [[5929/5760]]
Line 2,061: Line 3,026:
| [0 5 2 -2 -2⟩
| [0 5 2 -2 -2⟩
| 42.11
| 42.11
|-
| [[6084/5929]]
| [2 2 0 -2 -2 2⟩
| 44.68
|-
|-
| [[6125/5808]]
| [[6125/5808]]
Line 2,161: Line 3,122:
| [-1 8 -1 -2 0 -1⟩
| [-1 8 -1 -2 0 -1⟩
| 51.15
| 51.15
|-
| [[6561/6400]]
| [-8 8 -2⟩
| 43.01
|-
|-
| [[6561/6500]]
| [[6561/6500]]
Line 2,469: Line 3,426:
| [0 -6 0 2 -1 2⟩
| [0 -6 0 2 -1 2⟩
| 55.66
| 55.66
|-
| [[8281/8100]]
| [-2 -4 -2 2 0 2⟩
| 38.26
|-
|-
| [[8281/8192]]
| [[8281/8192]]
Line 2,725: Line 3,678:
| [-3 4 0 -1 2 -2⟩
| [-3 4 0 -1 2 -2⟩
| 60.57
| 60.57
|-
| [[9801/9604]]
| [-2 4 0 -4 2⟩
| 35.15
|-
|-
| [[9801/9800]]
| [[9801/9800]]
Retrieved from "https://en.xen.wiki/w/User:Contribution/Commas"