Proposed names for rank-2 temperaments
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Here is a list of some names that have been proposed for rank 2 [[temperament]]s. The name or names of the temperament is followed by the generator mapping, which represents the number of periods and [[generator]]s of the temperament for each of the [[prime interval]]s (1:2, 1:3, 1:5, etc.) =One period per octave= mother [<1, 2, 2, 2], <0, -1, 1, 2]> father [<1, 2, 2, 4], <0, -1, 1, -3]> mavila [<1, 2, 1, 1], <0, -1, 3, 4]> hexadecimal, pelogic [<1, 2, 1, 5], <0, -1, 3, -5]> dominant [<1, 2, 4, 2], <0, -1, -4, 2]> sharptone [<1, 2, 4, 4], <0, -1, -4, -3]> flattone [<1, 2, 4, -1], <0, -1, -4, 9]> meantone [<1, 2, 4, 7], <0, -1, -4, -10]> schism [<1, 2, -1, 2], <0, -1, 8, 2]> garibaldi [<1, 2, -1, -3], <0, -1, 8, 14]> pontiac, infraschismic [<1, 2, -1, 19], <0, -1, 8, -39]> superpyth [<1, 2, 6, 2], <0, -1, -9, 2]> quasisuper [<1, 2, -3, 2], <0, -1, 13, 2]> leapday [<1, 2, 11, 9], <0, -1, -21, -15]> kwai [<1, 2, 16, 14], <0, -1, -33, -27]> undecental [<1, 2, -13, -15], <0, -1, 37, 43]> dicot [<1, 1, 2, 2], <0, 2, 1, 3]> sharp [<1, 1, 2, 1], <0, 2, 1, 6]> semififths, mohajira [<1, 1, 0, 6], <0, 2, 8, -11]> beatles [<1, 1, 5, 4], <0, 2, -9, -4]> hemififths [<1, 1, -5, -1], <0, 2, 25, 13]> beep [<1, 2, 3, 3], <0, -2, -3, -1]> superpelog [<1, 2, 1, 3], <0, -2, 6, -1]> semaphore, godzilla [<1, 2, 4, 3], <0, -2, -8, -1]> gidorah [<1, 1, 2, 3], <0, 3, 2, -1]> penta [<1, 1, 2, 2], <0, 3, 2, 4]> gorgo [<1, 1, 1, 3], <0, 3, 7, -1]> cynder, mothra [<1, 1, 0, 3], <0, 3, 12, -1]> rodan [<1, 1, -1, 3], <0, 3, 17, -1]> guiron [<1, 1, 7, 3], <0, 3, -24, -1]> hystrix [<1, 2, 3, 3], <0, -3, -5, -1]> porcupine [<1, 2, 3, 2], <0, -3, -5, 6]> opossum, pentadecimal [<1, 2, 3, 4], <0, -3, -5, -9]> triton [<1, 3, -1, -1], <0, -3, 7, 8]> liese, gawel [<1, 3, 8, 8], <0, -3, -12, -11]> vulture, buzzard [<1, 0, -6, 4], <0, 4, 21, -3]> sesquiquartififths [<1, 1, 7, 5], <0, 4, -32, -15]> sidi [<1, 3, 3, 6], <0, -4, -2, -9]> negri [<1, 2, 2, 3], <0, -4, 3, -2]> sentinel [<1, 3, -3, 6], <0, -4, 15, -9]> squares [<1, 3, 8, 6], <0, -4, -16, -9]> muggles [<1, 0, 2, 5], <0, 5, 1, -7]> magic [<1, 0, 2, -1], <0, 5, 1, 12]> passion [<1, 2, 2, 2], <0, -5, 4, 10]> ripple [<1, 2, 3, 3], <0, -5, -8, -2]> tritonic [<1, 4, -3, -3], <0, -5, 11, 12]> amity [<1, 3, 6, -2], <0, -5, -13, 17]> keemun [<1, 0, 1, 2], <0, 6, 5, 3]> catakleismic [<1, 0, 1, -3], <0, 6, 5, 22]> countercata [<1, 0, 1, 11], <0, 6, 5, -31]> miracle [<1, 1, 3, 3], <0, 6, -7, -2]> marvo [<1, -1, -5, -17], <0, 6, 17, 46]> nautilus [<1, 2, 3, 3], <0, -6, -10, -3]> orwell [<1, 0, 3, 1], <0, 7, -3, 8]> sensi [<1, -1, -1, -2], <0, 7, 9, 13]> roman [<1, 4, 3, -1], <0, -7, -2, 11]> octacot [<1, 1, 1, 2], <0, 8, 18, 11]> valentine [<1, 1, 2, 3], <0, 9, 5, -3]> escapade [<1, 2, 2, 3], <0, -9, 7, -4]> superkleismic [<1, 4, 5, 2], <0, -9, -10, 3]> myna [<1, -1, 0, 1], <0, 10, 9, 7]> sycamore [<1, 1, 2, 2], <0, 11, 6, 15]> septimin [<1, 4, 1, 5], <0, -11, 6, -10]> nusecond [<1, 3, 4, 5], <0, -11, -13, -17]> quartonic [<1, 2, 3, 3], <0, -11, -18, -5]> hemikleismic [<1, 0, 1, 4], <0, 12, 10, -9]> clyde [<1, 6, 6, 12], <0, -12, -10, -25]> bohpier [<1, 0, 0, 0], <0, 13, 19, 23]> slender [<1, 2, 2, 3], <0, -13, 10, -6]> parakleismic [<1, 5, 6, 12], <0, -13, -14, -35]> luna [<1, 4, 2, 2], <0, -15, 2, 5]> wurschmidt [<1, 7, 3, 15], <0, -8, -1, -18]> worschmidt [<1, 7, 3, -6], <0, -8, -1, 13]> whirrschmidt [<1, 7, 3, 38], <0, -8, -1, -52]> hemiwürschmidt [<1, -1, 2, 2], <0, 16, 2, 5]> semisept [<1, -5, 0, -3], <0, 17, 6, 15]> mitonic [<1, -1, -3, 6], <0, 17, 35, -21]> casablanca [<1, -7, -4, 1], <0, 19, 14, 4]> tertiaseptal [<1, 3, 2, 3], <0, -22, 5, -3]> grendel, voodoo [<1, 9, 2, 7], <0, -23, 1, -13]> gamera [<1, 6, 10, 3], <0, -23, -40, -1]> supermajor [<1, 15, 19, 30], <0, -37, -46, -75]> quasiorwell [<1, -7, 3, 1], <0, 38, -3, 8]> neptune [<1, 21, 13, 13], <0, -40, -22, -21]> grackle [<1, 0, 15, 44], <0, 1, -8, -26]> =Two periods per octave= diaschismic [<2, 0, 11, 31], <0, 1, -2, -8]> pajara [<2, 3, 5, 6], <0, 1, -2, -2]> keen [<2, 3, 5, 4], <0, 1, -2, 9]> octokaidecal [<2, 3, 4, 5], <0, 1, 3, 3]> bipelog [<2, 3, 5, 6], <0, 1, -3, -3]> injera [<2, 3, 4, 5], <0, 1, 4, 4]> bischismic [<2, 3, 6, 9], <0, 1, -8, -20]> shrutar [<2, 3, 5, 5], <0, 2, -4, 7]> decimal [<2, 4, 5, 6], <0, -2, -1, -1]> semifourths-hemififths [<2, 4, 15, 11], <0, -2, -25, -13]> lemba [<2, 2, 5, 6], <0, 3, -1, -1]> hedgehog [<2, 4, 6, 7], <0, -3, -5, -5]> doublewide [<2, 5, 6, 7], <0, -4, -3, -3]> sesquiquartififths [<2, 2, 14, 10], <0, 4, -32, -15]> hemiamity [<2, 1, -1, 13], <0, 5, 13, -17]> wizard [<2, 1, 5, 2], <0, 6, -1, 10]> unidec [<2, 5, 8, 5], <0, -6, -11, 2]> harry [<2, 4, 7, 7], <0, -6, -17, -10]> vishnu [<2, 4, 5, 10], <0, -7, -3, -37]> bisupermajor [<2, 1, 6, 1], <0, 8, -5, 17]> semiparakleismic [<2, -3, -2, -11], <0, 13, 14, 35]> hemigamera [<2, 12, 20, 6], <0, -23, -40, -1]> =Three periods per octave= augene, tripletone [<3, 5, 7, 8], <0, -1, 0, 2]> august [<3, 5, 7, 9], <0, -1, 0, -2]> misty [<3, 5, 6, 6], <0, -1, 4, 10]> term [<3, 5, 5, 4], <0, -1, 8, 18]> semiaug [<3, 5, 7, 9], <0, -2, 0, -5]> tritikleismic [<3, 6, 8, 8], <0, -6, -5, 2]> mutt [<3, 5, 7, 8], <0, -7, -1, 12]> =Four or more periods per octave= diminished [<4, 6, 9, 11], <0, 1, 1, 1]> blacksmith [<5, 8, 12, 14], <0, 0, -1, 0]> hexe [<6, 10, 14, 17], <0, -1, 0, 0]> jamesbond, heptadecal [<7, 11, 16, 20], <0, 0, 0, -1]> ennealimmal [<9, 15, 22, 26], <0, -2, -3, -2]> hendecatonic [<11, 17, 26, 30], <0, 1, -1, 2]> catler [<12, 19, 28, 34], <0, 0, 0, -1]> compton, waage [<12, 19, 28, 34], <0, 0, -1, -2]> enneadecal [<19, 30, 44, 53], <0, 1, 1, 3]> icosidillic [<22, 35, 51, 62], <0, -1, 1, -2]> hemienneadecal [<38, 60, 88, 106], <0, 1, 1, 3]>
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<html><head><title>Proposed names for rank 2 temperaments</title></head><body>Here is a list of some names that have been proposed for rank 2 <a class="wiki_link" href="/temperament">temperament</a>s. The name or names of the temperament is followed by the generator mapping, which represents the number of periods and <a class="wiki_link" href="/generator">generator</a>s of the temperament for each of the <a class="wiki_link" href="/prime%20interval">prime interval</a>s (1:2, 1:3, 1:5, etc.)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="One period per octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->One period per octave</h1> mother [<1, 2, 2, 2], <0, -1, 1, 2]><br /> father [<1, 2, 2, 4], <0, -1, 1, -3]><br /> mavila [<1, 2, 1, 1], <0, -1, 3, 4]><br /> hexadecimal, pelogic [<1, 2, 1, 5], <0, -1, 3, -5]><br /> dominant [<1, 2, 4, 2], <0, -1, -4, 2]><br /> sharptone [<1, 2, 4, 4], <0, -1, -4, -3]><br /> flattone [<1, 2, 4, -1], <0, -1, -4, 9]><br /> meantone [<1, 2, 4, 7], <0, -1, -4, -10]><br /> schism [<1, 2, -1, 2], <0, -1, 8, 2]><br /> garibaldi [<1, 2, -1, -3], <0, -1, 8, 14]><br /> pontiac, infraschismic [<1, 2, -1, 19], <0, -1, 8, -39]><br /> superpyth [<1, 2, 6, 2], <0, -1, -9, 2]><br /> quasisuper [<1, 2, -3, 2], <0, -1, 13, 2]><br /> leapday [<1, 2, 11, 9], <0, -1, -21, -15]><br /> kwai [<1, 2, 16, 14], <0, -1, -33, -27]><br /> undecental [<1, 2, -13, -15], <0, -1, 37, 43]><br /> dicot [<1, 1, 2, 2], <0, 2, 1, 3]><br /> sharp [<1, 1, 2, 1], <0, 2, 1, 6]><br /> semififths, mohajira [<1, 1, 0, 6], <0, 2, 8, -11]><br /> beatles [<1, 1, 5, 4], <0, 2, -9, -4]><br /> hemififths [<1, 1, -5, -1], <0, 2, 25, 13]><br /> beep [<1, 2, 3, 3], <0, -2, -3, -1]><br /> superpelog [<1, 2, 1, 3], <0, -2, 6, -1]><br /> semaphore, godzilla [<1, 2, 4, 3], <0, -2, -8, -1]><br /> gidorah [<1, 1, 2, 3], <0, 3, 2, -1]><br /> penta [<1, 1, 2, 2], <0, 3, 2, 4]><br /> gorgo [<1, 1, 1, 3], <0, 3, 7, -1]><br /> cynder, mothra [<1, 1, 0, 3], <0, 3, 12, -1]><br /> rodan [<1, 1, -1, 3], <0, 3, 17, -1]><br /> guiron [<1, 1, 7, 3], <0, 3, -24, -1]><br /> hystrix [<1, 2, 3, 3], <0, -3, -5, -1]><br /> porcupine [<1, 2, 3, 2], <0, -3, -5, 6]><br /> opossum, pentadecimal [<1, 2, 3, 4], <0, -3, -5, -9]><br /> triton [<1, 3, -1, -1], <0, -3, 7, 8]><br /> liese, gawel [<1, 3, 8, 8], <0, -3, -12, -11]><br /> vulture, buzzard [<1, 0, -6, 4], <0, 4, 21, -3]><br /> sesquiquartififths [<1, 1, 7, 5], <0, 4, -32, -15]><br /> sidi [<1, 3, 3, 6], <0, -4, -2, -9]><br /> negri [<1, 2, 2, 3], <0, -4, 3, -2]><br /> sentinel [<1, 3, -3, 6], <0, -4, 15, -9]><br /> squares [<1, 3, 8, 6], <0, -4, -16, -9]><br /> muggles [<1, 0, 2, 5], <0, 5, 1, -7]><br /> magic [<1, 0, 2, -1], <0, 5, 1, 12]><br /> passion [<1, 2, 2, 2], <0, -5, 4, 10]><br /> ripple [<1, 2, 3, 3], <0, -5, -8, -2]><br /> tritonic [<1, 4, -3, -3], <0, -5, 11, 12]><br /> amity [<1, 3, 6, -2], <0, -5, -13, 17]><br /> keemun [<1, 0, 1, 2], <0, 6, 5, 3]><br /> catakleismic [<1, 0, 1, -3], <0, 6, 5, 22]><br /> countercata [<1, 0, 1, 11], <0, 6, 5, -31]><br /> miracle [<1, 1, 3, 3], <0, 6, -7, -2]><br /> marvo [<1, -1, -5, -17], <0, 6, 17, 46]><br /> nautilus [<1, 2, 3, 3], <0, -6, -10, -3]><br /> orwell [<1, 0, 3, 1], <0, 7, -3, 8]><br /> sensi [<1, -1, -1, -2], <0, 7, 9, 13]><br /> roman [<1, 4, 3, -1], <0, -7, -2, 11]><br /> octacot [<1, 1, 1, 2], <0, 8, 18, 11]><br /> valentine [<1, 1, 2, 3], <0, 9, 5, -3]><br /> escapade [<1, 2, 2, 3], <0, -9, 7, -4]><br /> superkleismic [<1, 4, 5, 2], <0, -9, -10, 3]><br /> myna [<1, -1, 0, 1], <0, 10, 9, 7]><br /> sycamore [<1, 1, 2, 2], <0, 11, 6, 15]><br /> septimin [<1, 4, 1, 5], <0, -11, 6, -10]><br /> nusecond [<1, 3, 4, 5], <0, -11, -13, -17]><br /> quartonic [<1, 2, 3, 3], <0, -11, -18, -5]><br /> hemikleismic [<1, 0, 1, 4], <0, 12, 10, -9]><br /> clyde [<1, 6, 6, 12], <0, -12, -10, -25]><br /> bohpier [<1, 0, 0, 0], <0, 13, 19, 23]><br /> slender [<1, 2, 2, 3], <0, -13, 10, -6]><br /> parakleismic [<1, 5, 6, 12], <0, -13, -14, -35]><br /> luna [<1, 4, 2, 2], <0, -15, 2, 5]><br /> wurschmidt [<1, 7, 3, 15], <0, -8, -1, -18]><br /> worschmidt [<1, 7, 3, -6], <0, -8, -1, 13]><br /> whirrschmidt [<1, 7, 3, 38], <0, -8, -1, -52]><br /> hemiwürschmidt [<1, -1, 2, 2], <0, 16, 2, 5]><br /> semisept [<1, -5, 0, -3], <0, 17, 6, 15]><br /> mitonic [<1, -1, -3, 6], <0, 17, 35, -21]><br /> casablanca [<1, -7, -4, 1], <0, 19, 14, 4]><br /> tertiaseptal [<1, 3, 2, 3], <0, -22, 5, -3]><br /> grendel, voodoo [<1, 9, 2, 7], <0, -23, 1, -13]><br /> gamera [<1, 6, 10, 3], <0, -23, -40, -1]><br /> supermajor [<1, 15, 19, 30], <0, -37, -46, -75]><br /> quasiorwell [<1, -7, 3, 1], <0, 38, -3, 8]><br /> neptune [<1, 21, 13, 13], <0, -40, -22, -21]><br /> grackle [<1, 0, 15, 44], <0, 1, -8, -26]><br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Two periods per octave"></a><!-- ws:end:WikiTextHeadingRule:2 -->Two periods per octave</h1> diaschismic [<2, 0, 11, 31], <0, 1, -2, -8]><br /> pajara [<2, 3, 5, 6], <0, 1, -2, -2]><br /> keen [<2, 3, 5, 4], <0, 1, -2, 9]><br /> octokaidecal [<2, 3, 4, 5], <0, 1, 3, 3]><br /> bipelog [<2, 3, 5, 6], <0, 1, -3, -3]><br /> injera [<2, 3, 4, 5], <0, 1, 4, 4]><br /> bischismic [<2, 3, 6, 9], <0, 1, -8, -20]><br /> shrutar [<2, 3, 5, 5], <0, 2, -4, 7]><br /> decimal [<2, 4, 5, 6], <0, -2, -1, -1]><br /> semifourths-hemififths [<2, 4, 15, 11], <0, -2, -25, -13]><br /> lemba [<2, 2, 5, 6], <0, 3, -1, -1]><br /> hedgehog [<2, 4, 6, 7], <0, -3, -5, -5]><br /> doublewide [<2, 5, 6, 7], <0, -4, -3, -3]><br /> sesquiquartififths [<2, 2, 14, 10], <0, 4, -32, -15]><br /> hemiamity [<2, 1, -1, 13], <0, 5, 13, -17]><br /> wizard [<2, 1, 5, 2], <0, 6, -1, 10]><br /> unidec [<2, 5, 8, 5], <0, -6, -11, 2]><br /> harry [<2, 4, 7, 7], <0, -6, -17, -10]><br /> vishnu [<2, 4, 5, 10], <0, -7, -3, -37]><br /> bisupermajor [<2, 1, 6, 1], <0, 8, -5, 17]><br /> semiparakleismic [<2, -3, -2, -11], <0, 13, 14, 35]><br /> hemigamera [<2, 12, 20, 6], <0, -23, -40, -1]><br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Three periods per octave"></a><!-- ws:end:WikiTextHeadingRule:4 -->Three periods per octave</h1> augene, tripletone [<3, 5, 7, 8], <0, -1, 0, 2]><br /> august [<3, 5, 7, 9], <0, -1, 0, -2]><br /> misty [<3, 5, 6, 6], <0, -1, 4, 10]><br /> term [<3, 5, 5, 4], <0, -1, 8, 18]><br /> semiaug [<3, 5, 7, 9], <0, -2, 0, -5]><br /> tritikleismic [<3, 6, 8, 8], <0, -6, -5, 2]><br /> mutt [<3, 5, 7, 8], <0, -7, -1, 12]><br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Four or more periods per octave"></a><!-- ws:end:WikiTextHeadingRule:6 -->Four or more periods per octave</h1> diminished [<4, 6, 9, 11], <0, 1, 1, 1]><br /> blacksmith [<5, 8, 12, 14], <0, 0, -1, 0]><br /> hexe [<6, 10, 14, 17], <0, -1, 0, 0]><br /> jamesbond, heptadecal [<7, 11, 16, 20], <0, 0, 0, -1]><br /> ennealimmal [<9, 15, 22, 26], <0, -2, -3, -2]><br /> hendecatonic [<11, 17, 26, 30], <0, 1, -1, 2]><br /> catler [<12, 19, 28, 34], <0, 0, 0, -1]><br /> compton, waage [<12, 19, 28, 34], <0, 0, -1, -2]><br /> enneadecal [<19, 30, 44, 53], <0, 1, 1, 3]><br /> icosidillic [<22, 35, 51, 62], <0, -1, 1, -2]><br /> hemienneadecal [<38, 60, 88, 106], <0, 1, 1, 3]></body></html>