Ed12: Difference between revisions

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'''Ed12''' means '''Division of the Twelfth Harmonic ([[12/1]]) into n equal parts'''.
'''Ed12''' means '''Division of the Twelfth Harmonic ([[12/1]]) into n equal parts'''.


= Division of the twelfth harmonic into n equal parts =
== Overview ==
The twelfth harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3.1 dodecataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with dodecatave equivalence, this fact shapes one's musical approach dramatically. Also, the ed12-[[edo]] correspondences fall particularly close to the harmonic series of the NTSC or PAL-M color subcarrier:
The twelfth harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3.1 dodecataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with dodecatave equivalence, this fact shapes one's musical approach dramatically. Also, the ed12-[[edo]] correspondences fall particularly close to the harmonic series of the NTSC or PAL-M color subcarrier:


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|200.234216
|200.234216
|}
|}
== Table of Ed12s ==
=== 0…499 ===
{| class="wikitable center-all"
|+ style=white-space:nowrap | 0…99
| [[0ed12|0]]
| [[1ed12|1]]
| [[2ed12|2]]
| [[3ed12|3]]
| [[4ed12|4]]
| [[5ed12|5]]
| [[6ed12|6]]
| [[7ed12|7]]
| [[8ed12|8]]
| [[9ed12|9]]
|-
| [[10ed12|10]]
| [[11ed12|11]]
| [[12ed12|12]]
| [[13ed12|13]]
| [[14ed12|14]]
| [[15ed12|15]]
| [[16ed12|16]]
| [[17ed12|17]]
| [[18ed12|18]]
| [[19ed12|19]]
|-
| [[20ed12|20]]
| [[21ed12|21]]
| [[22ed12|22]]
| [[23ed12|23]]
| [[24ed12|24]]
| [[25ed12|25]]
| [[26ed12|26]]
| [[27ed12|27]]
| [[28ed12|28]]
| [[29ed12|29]]
|-
| [[30ed12|30]]
| [[31ed12|31]]
| [[32ed12|32]]
| [[33ed12|33]]
| [[34ed12|34]]
| [[35ed12|35]]
| [[36ed12|36]]
| [[37ed12|37]]
| [[38ed12|38]]
| [[39ed12|39]]
|-
| [[40ed12|40]]
| [[41ed12|41]]
| [[42ed12|42]]
| [[43ed12|43]]
| [[44ed12|44]]
| [[45ed12|45]]
| [[46ed12|46]]
| [[47ed12|47]]
| [[48ed12|48]]
| [[49ed12|49]]
|-
| [[50ed12|50]]
| [[51ed12|51]]
| [[52ed12|52]]
| [[53ed12|53]]
| [[54ed12|54]]
| [[55ed12|55]]
| [[56ed12|56]]
| [[57ed12|57]]
| [[58ed12|58]]
| [[59ed12|59]]
|-
| [[60ed12|60]]
| [[61ed12|61]]
| [[62ed12|62]]
| [[63ed12|63]]
| [[64ed12|64]]
| [[65ed12|65]]
| [[66ed12|66]]
| [[67ed12|67]]
| [[68ed12|68]]
| [[69ed12|69]]
|-
| [[70ed12|70]]
| [[71ed12|71]]
| [[72ed12|72]]
| [[73ed12|73]]
| [[74ed12|74]]
| [[75ed12|75]]
| [[76ed12|76]]
| [[77ed12|77]]
| [[78ed12|78]]
| [[79ed12|79]]
|-
| [[80ed12|80]]
| [[81ed12|81]]
| [[82ed12|82]]
| [[83ed12|83]]
| [[84ed12|84]]
| [[85ed12|85]]
| [[86ed12|86]]
| [[87ed12|87]]
| [[88ed12|88]]
| [[89ed12|89]]
|-
| [[90ed12|90]]
| [[91ed12|91]]
| [[92ed12|92]]
| [[93ed12|93]]
| [[94ed12|94]]
| [[95ed12|95]]
| [[96ed12|96]]
| [[97ed12|97]]
| [[98ed12|98]]
| [[99ed12|99]]
|}
{| class="wikitable center-all mw-collapsible mw-collapsed"
|+ style=white-space:nowrap | 100…199
| [[100ed12|100]]
| [[101ed12|101]]
| [[102ed12|102]]
| [[103ed12|103]]
| [[104ed12|104]]
| [[105ed12|105]]
| [[106ed12|106]]
| [[107ed12|107]]
| [[108ed12|108]]
| [[109ed12|109]]
|-
| [[110ed12|110]]
| [[111ed12|111]]
| [[112ed12|112]]
| [[113ed12|113]]
| [[114ed12|114]]
| [[115ed12|115]]
| [[116ed12|116]]
| [[117ed12|117]]
| [[118ed12|118]]
| [[119ed12|119]]
|-
| [[120ed12|120]]
| [[121ed12|121]]
| [[122ed12|122]]
| [[123ed12|123]]
| [[124ed12|124]]
| [[125ed12|125]]
| [[126ed12|126]]
| [[127ed12|127]]
| [[128ed12|128]]
| [[129ed12|129]]
|-
| [[130ed12|130]]
| [[131ed12|131]]
| [[132ed12|132]]
| [[133ed12|133]]
| [[134ed12|134]]
| [[135ed12|135]]
| [[136ed12|136]]
| [[137ed12|137]]
| [[138ed12|138]]
| [[139ed12|139]]
|-
| [[140ed12|140]]
| [[141ed12|141]]
| [[142ed12|142]]
| [[143ed12|143]]
| [[144ed12|144]]
| [[145ed12|145]]
| [[146ed12|146]]
| [[147ed12|147]]
| [[148ed12|148]]
| [[149ed12|149]]
|-
| [[150ed12|150]]
| [[151ed12|151]]
| [[152ed12|152]]
| [[153ed12|153]]
| [[154ed12|154]]
| [[155ed12|155]]
| [[156ed12|156]]
| [[157ed12|157]]
| [[158ed12|158]]
| [[159ed12|159]]
|-
| [[160ed12|160]]
| [[161ed12|161]]
| [[162ed12|162]]
| [[163ed12|163]]
| [[164ed12|164]]
| [[165ed12|165]]
| [[166ed12|166]]
| [[167ed12|167]]
| [[168ed12|168]]
| [[169ed12|169]]
|-
| [[170ed12|170]]
| [[171ed12|171]]
| [[172ed12|172]]
| [[173ed12|173]]
| [[174ed12|174]]
| [[175ed12|175]]
| [[176ed12|176]]
| [[177ed12|177]]
| [[178ed12|178]]
| [[179ed12|179]]
|-
| [[180ed12|180]]
| [[181ed12|181]]
| [[182ed12|182]]
| [[183ed12|183]]
| [[184ed12|184]]
| [[185ed12|185]]
| [[186ed12|186]]
| [[187ed12|187]]
| [[188ed12|188]]
| [[189ed12|189]]
|-
| [[190ed12|190]]
| [[191ed12|191]]
| [[192ed12|192]]
| [[193ed12|193]]
| [[194ed12|194]]
| [[195ed12|195]]
| [[196ed12|196]]
| [[197ed12|197]]
| [[198ed12|198]]
| [[199ed12|199]]
|}
{| class="wikitable center-all mw-collapsible mw-collapsed"
|+ style=white-space:nowrap | 200…299
| [[200ed12|200]]
| [[201ed12|201]]
| [[202ed12|202]]
| [[203ed12|203]]
| [[204ed12|204]]
| [[205ed12|205]]
| [[206ed12|206]]
| [[207ed12|207]]
| [[208ed12|208]]
| [[209ed12|209]]
|-
| [[210ed12|210]]
| [[211ed12|211]]
| [[212ed12|212]]
| [[213ed12|213]]
| [[214ed12|214]]
| [[215ed12|215]]
| [[216ed12|216]]
| [[217ed12|217]]
| [[218ed12|218]]
| [[219ed12|219]]
|-
| [[220ed12|220]]
| [[221ed12|221]]
| [[222ed12|222]]
| [[223ed12|223]]
| [[224ed12|224]]
| [[225ed12|225]]
| [[226ed12|226]]
| [[227ed12|227]]
| [[228ed12|228]]
| [[229ed12|229]]
|-
| [[230ed12|230]]
| [[231ed12|231]]
| [[232ed12|232]]
| [[233ed12|233]]
| [[234ed12|234]]
| [[235ed12|235]]
| [[236ed12|236]]
| [[237ed12|237]]
| [[238ed12|238]]
| [[239ed12|239]]
|-
| [[240ed12|240]]
| [[241ed12|241]]
| [[242ed12|242]]
| [[243ed12|243]]
| [[244ed12|244]]
| [[245ed12|245]]
| [[246ed12|246]]
| [[247ed12|247]]
| [[248ed12|248]]
| [[249ed12|249]]
|-
| [[250ed12|250]]
| [[251ed12|251]]
| [[252ed12|252]]
| [[253ed12|253]]
| [[254ed12|254]]
| [[255ed12|255]]
| [[256ed12|256]]
| [[257ed12|257]]
| [[258ed12|258]]
| [[259ed12|259]]
|-
| [[260ed12|260]]
| [[261ed12|261]]
| [[262ed12|262]]
| [[263ed12|263]]
| [[264ed12|264]]
| [[265ed12|265]]
| [[266ed12|266]]
| [[267ed12|267]]
| [[268ed12|268]]
| [[269ed12|269]]
|-
| [[270ed12|270]]
| [[271ed12|271]]
| [[272ed12|272]]
| [[273ed12|273]]
| [[274ed12|274]]
| [[275ed12|275]]
| [[276ed12|276]]
| [[277ed12|277]]
| [[278ed12|278]]
| [[279ed12|279]]
|-
| [[280ed12|280]]
| [[281ed12|281]]
| [[282ed12|282]]
| [[283ed12|283]]
| [[284ed12|284]]
| [[285ed12|285]]
| [[286ed12|286]]
| [[287ed12|287]]
| [[288ed12|288]]
| [[289ed12|289]]
|-
| [[290ed12|290]]
| [[291ed12|291]]
| [[292ed12|292]]
| [[293ed12|293]]
| [[294ed12|294]]
| [[295ed12|295]]
| [[296ed12|296]]
| [[297ed12|297]]
| [[298ed12|298]]
| [[299ed12|299]]
|}
{| class="wikitable center-all mw-collapsible mw-collapsed"
|+ style=white-space:nowrap | 300…399
| [[300ed12|300]]
| [[301ed12|301]]
| [[302ed12|302]]
| [[303ed12|303]]
| [[304ed12|304]]
| [[305ed12|305]]
| [[306ed12|306]]
| [[307ed12|307]]
| [[308ed12|308]]
| [[309ed12|309]]
|-
| [[310ed12|310]]
| [[311ed12|311]]
| [[312ed12|312]]
| [[313ed12|313]]
| [[314ed12|314]]
| [[315ed12|315]]
| [[316ed12|316]]
| [[317ed12|317]]
| [[318ed12|318]]
| [[319ed12|319]]
|-
| [[320ed12|320]]
| [[321ed12|321]]
| [[322ed12|322]]
| [[323ed12|323]]
| [[324ed12|324]]
| [[325ed12|325]]
| [[326ed12|326]]
| [[327ed12|327]]
| [[328ed12|328]]
| [[329ed12|329]]
|-
| [[330ed12|330]]
| [[331ed12|331]]
| [[332ed12|332]]
| [[333ed12|333]]
| [[334ed12|334]]
| [[335ed12|335]]
| [[336ed12|336]]
| [[337ed12|337]]
| [[338ed12|338]]
| [[339ed12|339]]
|-
| [[340ed12|340]]
| [[341ed12|341]]
| [[342ed12|342]]
| [[343ed12|343]]
| [[344ed12|344]]
| [[345ed12|345]]
| [[346ed12|346]]
| [[347ed12|347]]
| [[348ed12|348]]
| [[349ed12|349]]
|-
| [[350ed12|350]]
| [[351ed12|351]]
| [[352ed12|352]]
| [[353ed12|353]]
| [[354ed12|354]]
| [[355ed12|355]]
| [[356ed12|356]]
| [[357ed12|357]]
| [[358ed12|358]]
| [[359ed12|359]]
|-
| [[360ed12|360]]
| [[361ed12|361]]
| [[362ed12|362]]
| [[363ed12|363]]
| [[364ed12|364]]
| [[365ed12|365]]
| [[366ed12|366]]
| [[367ed12|367]]
| [[368ed12|368]]
| [[369ed12|369]]
|-
| [[370ed12|370]]
| [[371ed12|371]]
| [[372ed12|372]]
| [[373ed12|373]]
| [[374ed12|374]]
| [[375ed12|375]]
| [[376ed12|376]]
| [[377ed12|377]]
| [[378ed12|378]]
| [[379ed12|379]]
|-
| [[380ed12|380]]
| [[381ed12|381]]
| [[382ed12|382]]
| [[383ed12|383]]
| [[384ed12|384]]
| [[385ed12|385]]
| [[386ed12|386]]
| [[387ed12|387]]
| [[388ed12|388]]
| [[389ed12|389]]
|-
| [[390ed12|390]]
| [[391ed12|391]]
| [[392ed12|392]]
| [[393ed12|393]]
| [[394ed12|394]]
| [[395ed12|395]]
| [[396ed12|396]]
| [[397ed12|397]]
| [[398ed12|398]]
| [[399ed12|399]]
|}
{| class="wikitable center-all mw-collapsible mw-collapsed"
|+ style=white-space:nowrap | 400…499
| [[400ed12|400]]
| [[401ed12|401]]
| [[402ed12|402]]
| [[403ed12|403]]
| [[404ed12|404]]
| [[405ed12|405]]
| [[406ed12|406]]
| [[407ed12|407]]
| [[408ed12|408]]
| [[409ed12|409]]
|-
| [[410ed12|410]]
| [[411ed12|411]]
| [[412ed12|412]]
| [[413ed12|413]]
| [[414ed12|414]]
| [[415ed12|415]]
| [[416ed12|416]]
| [[417ed12|417]]
| [[418ed12|418]]
| [[419ed12|419]]
|-
| [[420ed12|420]]
| [[421ed12|421]]
| [[422ed12|422]]
| [[423ed12|423]]
| [[424ed12|424]]
| [[425ed12|425]]
| [[426ed12|426]]
| [[427ed12|427]]
| [[428ed12|428]]
| [[429ed12|429]]
|-
| [[430ed12|430]]
| [[431ed12|431]]
| [[432ed12|432]]
| [[433ed12|433]]
| [[434ed12|434]]
| [[435ed12|435]]
| [[436ed12|436]]
| [[437ed12|437]]
| [[438ed12|438]]
| [[439ed12|439]]
|-
| [[440ed12|440]]
| [[441ed12|441]]
| [[442ed12|442]]
| [[443ed12|443]]
| [[444ed12|444]]
| [[445ed12|445]]
| [[446ed12|446]]
| [[447ed12|447]]
| [[448ed12|448]]
| [[449ed12|449]]
|-
| [[450ed12|450]]
| [[451ed12|451]]
| [[452ed12|452]]
| [[453ed12|453]]
| [[454ed12|454]]
| [[455ed12|455]]
| [[456ed12|456]]
| [[457ed12|457]]
| [[458ed12|458]]
| [[459ed12|459]]
|-
| [[460ed12|460]]
| [[461ed12|461]]
| [[462ed12|462]]
| [[463ed12|463]]
| [[464ed12|464]]
| [[465ed12|465]]
| [[466ed12|466]]
| [[467ed12|467]]
| [[468ed12|468]]
| [[469ed12|469]]
|-
| [[470ed12|470]]
| [[471ed12|471]]
| [[472ed12|472]]
| [[473ed12|473]]
| [[474ed12|474]]
| [[475ed12|475]]
| [[476ed12|476]]
| [[477ed12|477]]
| [[478ed12|478]]
| [[479ed12|479]]
|-
| [[480ed12|480]]
| [[481ed12|481]]
| [[482ed12|482]]
| [[483ed12|483]]
| [[484ed12|484]]
| [[485ed12|485]]
| [[486ed12|486]]
| [[487ed12|487]]
| [[488ed12|488]]
| [[489ed12|489]]
|-
| [[490ed12|490]]
| [[491ed12|491]]
| [[492ed12|492]]
| [[493ed12|493]]
| [[494ed12|494]]
| [[495ed12|495]]
| [[496ed12|496]]
| [[497ed12|497]]
| [[498ed12|498]]
| [[499ed12|499]]
|}


[[Category:Edonoi]]
[[Category:Edonoi]]
[[Category:Ed12]]
[[Category:Ed12]]