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Proposed names for rank-2 temperaments: Difference between revisions

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Here is a list of some names that have been proposed for rank 2 [[temperaments|temperaments]]. The name or names of the temperament is followed by the generator mapping, which represents the number of periods and [[generator|generator]]s of the temperament for each of the [[prime_interval|prime interval]]s (2, 3, 5 etc.)
Here is a list of some names that have been proposed for [[rank-2 temperament|rank-2]] [[regular temperament|temperaments]]. 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 (2 3 5 etc.)


See also [[pergen|pergen names]].
{{Todo|inline=1| update }}


=One period per octave=
== One period per octave ==
father [<1, 2, 2], <0, -1, 1]>
* [[father]] [{{val| 1 0 4 }}, {{val| 0 1 -1}}];
** mother [{{val| 1 0 4 6 }}, {{val| 0 1 -1 -2}}];
** father [{{val| 1 0 4 -2 }}, {{val| 0 1 -1 3}}];
* [[mavila]] [{{val| 1 0 7 }}, {{val| 0 1 -3}}];
** [[pelogic]] [{{val| 1 0 7 9 }}, {{val| 0 1 -3 -4}}];
** [[armodue (temperament)|armodue]] [{{val| 1 0 7 -5 }}, {{val| 0 1 -3 5}}];
** mavila [{{val| 1 0 7 20 }}, {{val| 0 1 -3 -11}}];
** hornbostel [{{val| 1 0 7 -16 }}, {{val| 0 1 -3 12}}];
* [[meantone]] [{{val| 1 0 -4 }}, {{val| 0 1 4}}];
** [[dominant (temperament)|dominant]] [{{val| 1 0 -4 6 }}, {{val| 0 1 4 -2}}];
*** arnold [{{val| 1 0 -4 6 5 }}, {{val| 0 1 4 -2 -1}}];
*** dominant [{{val| 1 0 -4 6 13 }}, {{val| 0 1 4 -2 -6}}];
*** domineering [{{val| 1 0 -4 6 -6 }}, {{val| 0 1 4 -2 6}}];
** [[sharptone]] [{{val| 1 0 -4 -2 }}, {{val| 0 1 4 3}}];
*** meanertone [{{val| 1 0 -4 -2 5 }}, {{val| 0 1 4 3 -1}}];
** [[flattone]] [{{val| 1 0 -4 17 }}, {{val| 0 1 4 -9}}];
*** flattone [{{val| 1 0 -4 17 -6 }}, {{val| 0 1 4 -9 6}}];
** meantone [{{val| 1 0 -4 -13 }}, {{val| 0 1 4 10}}];
*** meanenneadecal [{{val| 1 0 -4 -13 -6 }}, {{val| 0 1 4 10 6}}];
*** meanpop [{{val| 1 0 -4 -13 24 }}, {{val| 0 1 4 10 -13}}];
*** meantone [{{val| 1 0 -4 -13 -25 }}, {{val| 0 1 4 10 18}}];
* [[avila]] [{{val| 1 0 -7 }}, {{val| 0 1 6}}];
* [[helmholtz (temperament)|helmholtz]] [{{val| 1 0 15 }}, {{val| 0 1 -8}}];
** schism [{{val| 1 0 15 6 }}, {{val| 0 1 -8 -2}}];
** garibaldi [{{val| 1 0 15 25 }}, {{val| 0 1 -8 -14}}];
*** cassandra [{{val| 1 0 15 25 -33 }}, {{val| 0 1 -8 -14 23}}];
**** cassandra [{{val| 1 0 15 25 -33 -28 }}, {{val| 0 1 -8 -14 23 20}}];
*** andromeda [{{val| 1 0 15 25 32 }}, {{val| 0 1 -8 -14 -18}}];
**** andromeda [{{val| 1 0 15 25 32 37 }}, {{val| 0 1 -8 -14 -18 -21}}];
** grackle [{{val| 1 0 15 44 }}, {{val| 0 1 -8 -26}}];
** [[pontiac]], infraschismic [{{val| 1 0 15 -59 }}, {{val| 0 1 -8 39}}];
* [[superpyth]] [{{val| 1 0 -12 }}, {{val| 0 1 9}}];
** superpyth [{{val| 1 0 -12 6 }}, {{val| 0 1 9 -2}}];
*** superpyth [{{val| 1 0 -12 6 -22 }}, {{val| 0 1 9 -2 16}}];
*** suprapyth [{{val| 1 0 -12 6 13 }}, {{val| 0 1 9 -2 -6}}];
* [[quasisuper]] [{{val| 1 0 23 6 }}, {{val| 0 1 -13 -2}}];
* [[leapday]] [{{val| 1 0 -31 -21 -14 -9 }}, {{val| 0 1 21 15 11 8}}];
* [[kwai]] [{{val| 1 0 -50 -40 }}, {{val| 0 1 33 27}}];
** kwai [{{val| 1 0 -50 -40 32 }}, {{val| 0 1 33 27 -18}}];
* [[undecental]] [{{val| 1 0 61 71 }}, {{val| 0 1 -37 -43}}];
* [[counterschismic]] [{{val| 1 0 -69 }}, {{val| 0 1 45}}];
* [[dicot]] [{{val| 1 1 2 }}, {{val| 0 2 1}}];
** [[mujannabic]] [{{val| 1 1 2 2 }}, {{val| 0 2 1 3}}];
** [[sharpie]] [{{val| 1 1 2 1 }}, {{val| 0 2 1 6}}];
* [[mohajira]], semififths [{{val| 1 1 0 6 }}, {{val| 0 2 8 -11}}];
** mohajira [{{val| 1 1 0 6 2 }}, {{val| 0 2 8 -11 5}}];
** [[neutrominant]] [{{val| 1 1 0 4 2 }}, {{val| 0 2 8 -4 5}}];
*** neutrominant [{{val| 1 1 0 4 2 4 }}, {{val| 0 2 8 -4 5 -1}}];
* [[beatles]] [{{val| 1 1 5 4 }}, {{val| 0 2 -9 -4}}];
* [[karadeniz]] [{{val| 1 1 7 11 2 }}, {{val| 0 2 -16 -28 5}}];
* [[hemififths]] [{{val| 1 1 -5 -1 }}, {{val| 0 2 25 13}}];
* [[bug]] [{{val| 1 0 0 }}, {{val| 0 2 3}}];
** [[beep]] [{{val| 1 0 0 2 }}, {{val| 0 2 3 1}}];
*** pentoid [{{val| 1 0 0 2 5 }}, {{val| 0 2 3 1 -2}}];
* [[superpelog]] [{{val| 1 0 7 2 }}, {{val| 0 2 -6 1}}];
* [[godzilla]] [{{val| 1 0 -4 2 }}, {{val| 0 2 8 1}}];
* [[monzismic]] [{{val| 1 0 -27 }}, {{val| 0 2 37}}];
* [[gidorah]] [{{val| 1 1 2 3 }}, {{val| 0 3 2 -1}}];
* [[enipucrop]] [{{val| 1 2 2 }}, {{val| 0 3 -2}}];
* [[penta]] [{{val| 1 1 2 2 }}, {{val| 0 3 2 4}}];
* [[laconic]] [{{val| 1 1 1 }}, {{val| 0 3 7}}];
** [[gorgo]] [{{val| 1 1 1 3 }}, {{val| 0 3 7 -1}}];
*** gorgo [{{val| 1 1 1 3 1 }}, {{val| 0 3 7 -1 13}}];
**** gorgo [{{val| 1 1 1 3 1 2 }}, {{val| 0 3 7 -1 13 9}}];
*** spartan [{{val| 1 1 1 3 5 }}, {{val| 0 3 7 -1 -8}}];
* [[pycnic]] [{{val| 1 0 6 -3 }}, {{val| 0 3 -7 11}}];
* [[mothra]], cynder [{{val| 1 1 0 3 }}, {{val| 0 3 12 -1}}];
** mothra, cynder [{{val| 1 1 0 3 5 }}, {{val| 0 3 12 -1 -8}}];
* [[rodan]] [{{val| 1 1 -1 3 }}, {{val| 0 3 17 -1}}];
** rodan [{{val| 1 1 -1 3 6 }}, {{val| 0 3 17 -1 -13}}];
*** rodan [{{val| 1 1 -1 3 6 8 }}, {{val| 0 3 17 -1 -13 -22}}];
*** aerodactyl [{{val| 1 1 -1 3 6 -1 }}, {{val| 0 3 17 -1 -13 24}}];
* [[guiron]] [{{val| 1 1 7 3 }}, {{val| 0 3 -24 -1}}];
* [[porcupine]] [{{val| 1 2 3 }}, {{val| 0 3 5}}];
** [[hystrix]] [{{val| 1 2 3 3 }}, {{val| 0 3 5 1}}];
** porcupine [{{val| 1 2 3 2 }}, {{val| 0 3 5 -6}}];
*** porcupine [{{val| 1 2 3 2 4 }}, {{val| 0 3 5 -6 4}}];
** [[opossum]], pentadecimal [{{val| 1 2 3 4 }}, {{val| 0 3 5 9}}];
*** opossum [{{val| 1 2 3 4 4 }}, {{val| 0 3 5 9 4}}];
*** coendou [{{val| 1 2 3 1 4 3 }}, {{val| 0 3 5 -13 4 -5}}];
*** porcupinefish [{{val| 1 2 3 2 4 6 }}, {{val| 0 3 5 -6 4 17}}];
* [[ammonite]] [{{val| 1 5 8 10 }}, {{val| 0 9 15 19}}];
* [[triton]] [{{val| 1 0 6 7 }}, {{val| 0 3 -7 -8}}];
* [[liese]], gawel [{{val| 1 0 -4 -3 }}, {{val| 0 3 12 11}}];
* [[alphatricot]] [{{val| 1 0 -13 }}, {{val| 0 3 29}}];
* [[tetracot]] [{{val| 1 1 1 }}, {{val| 0 4 9}}];
** [[monkey]] [{{val| 1 1 1 5 }}, {{val| 0 4 9 -15}}];
** [[bunya]] [{{val| 1 1 1 -1 }}, {{val| 0 4 9 26}}];
* [[vulture]] [{{val| 1 0 -6 }}, {{val| 0 4 21}}];
** [[buzzard]] [{{val| 1 0 -6 4 }}, {{val| 0 4 21 -3}}];
*** buzzard [{{val| 1 0 -6 4 -12 -7 }}, {{val| 0 4 21 -3 39 27}}];
* [[sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15}}];
* semihemififths [{{val| 1 1 -5 -1 8 }}, {{val| 0 4 50 26 -31}}];
* [[sidi]] [{{val| 1 3 3 6 }}, {{val| 0 4 2 9}}];
* [[negri]] [{{val| 1 2 2 }}, {{val| 0 4 -3}}];
** negri [{{val| 1 2 2 3 }}, {{val| 0 4 -3 2}}];
*** negri [{{val| 1 2 2 3 4 }}, {{val| 0 4 -3 2 5}}];
**** negri [{{val| 1 2 2 3 4 4 }}, {{val| 0 4 -3 2 5 3}}];
*** negril [{{val| 1 2 2 3 2 }}, {{val| 0 4 -3 2 -14}}];
**** negril [{{val| 1 2 2 3 2 4 }}, {{val| 0 4 -3 2 -14 3}}];
* [[sentinel]] [{{val| 1 3 -3 6 }}, {{val| 0 4 -15 9}}];
* [[squares]] [{{val| 1 3 8 6 }}, {{val| 0 4 16 9}}];
* [[magic]] [{{val| 1 0 2 }}, {{val| 0 5 1}}];
** [[muggles]] [{{val| 1 0 2 5 }}, {{val| 0 5 1 -7}}];
** magic [{{val| 1 0 2 -1 }}, {{val| 0 5 1 12}}];
*** magic [{{val| 1 0 2 -1 6 }}, {{val| 0 5 1 12 -8}}];
* [[passion]] [{{val| 1 2 2 }}, {{val| 0 5 -4}}];
** passion [{{val| 1 2 2 2 }}, {{val| 0 5 -4 -10}}];
* [[ripple]] [{{val| 1 2 3 }}, {{val| 0 5 8}}];
** ripple [{{val| 1 2 3 3 }}, {{val| 0 5 8 2}}];
* [[tritonic]] [{{val| 1 4 -3 -3 }}, {{val| 0 5 -11 -12}}];
** tritonic [{{val| 1 4 -3 -3 2 }}, {{val| 0 5 -11 -12 -3}}];
* [[amity]] [{{val| 1 3 6 }}, {{val| 0 5 13}}];
** amity [{{val| 1 3 6 -2 }}, {{val| 0 5 13 -17}}];
*** hitchcock, amity [{{val| 1 3 6 -2 6 }}, {{val| 0 5 13 -17 9}}];
**** hitchcock [{{val| 1 3 6 -2 6 2 }}, {{val| 0 5 13 -17 9 -6}}];
* [[gravity]] [{{val| 1 5 12 }}, {{val| 0 6 17}}];
** [[marvo]] [{{val| 1 5 12 29 }}, {{val| 0 6 17 46}}];
* [[hanson]] [{{val| 1 0 1 }}, {{val| 0 6 5}}];
** [[keemun]] [{{val| 1 0 1 2 }}, {{val| 0 6 5 3}}];
*** keemun [{{val| 1 0 1 2 4 }}, {{val| 0 6 5 3 -2}}];
** [[catakleismic]] [{{val| 1 0 1 -3 }}, {{val| 0 6 5 22}}];
*** catakleismic [{{val| 1 0 1 -3 9 }}, {{val| 0 6 5 22 -21}}];
**** catakleismic [{{val| 1 0 1 -3 9 0 }}, {{val| 0 6 5 22 -21 14}}];
** [[countercata]] [{{val| 1 0 1 11 }}, {{val| 0 6 5 -31}}];
* [[ampersand]] [{{val| 1 1 3 }}, {{val| 0 6 -7}}];
** [[miracle]] [{{val| 1 1 3 3 }}, {{val| 0 6 -7 -2}}];
*** miracle [{{val| 1 1 3 3 2 }}, {{val| 0 6 -7 -2 15}}];
* [[nautilus]] [{{val| 1 2 3 3 }}, {{val| 0 6 10 3}}];
* [[orson]] [{{val| 1 0 3 }}, {{val| 0 7 -3}}];
** [[orwell]] [{{val| 1 0 3 1 }}, {{val| 0 7 -3 8}}];
*** orwell [{{val| 1 0 3 1 3 }}, {{val| 0 7 -3 8 2}}];
**** orwell [{{val| 1 0 3 1 3 8 }}, {{val| 0 7 -3 8 2 -19}}];
**** blair [{{val| 1 0 3 1 3 3 }}, {{val| 0 7 -3 8 2 3}}];
**** winston [{{val| 1 0 3 1 3 1 }}, {{val| 0 7 -3 8 2 12}}];
* [[sensi]] [{{val| 1 6 8 }}, {{val| 0 7 9}}];
** sensi [{{val| 1 6 8 11 }}, {{val| 0 7 9 13}}];
*** [[sensor]] [{{val| 1 6 8 11 -6 }}, {{val| 0 7 9 13 -15}}];
**** sensor [{{val| 1 6 8 11 -6 10 }}, {{val| 0 7 9 13 -15 10}}];
*** [[sensis]] [{{val| 1 6 8 11 6 }}, {{val| 0 7 9 13 4}}];
**** sensis [{{val| 1 6 8 11 6 10 }}, {{val| 0 7 9 13 4 10}}];
*** [[sensus]] [{{val| 1 6 8 11 23 }}, {{val| 0 7 9 13 31}}];
**** sensus [{{val| 1 6 8 11 23 10 }}, {{val| 0 7 9 13 31 10}}];
* [[roman]] [{{val| 1 4 3 -1 0 3 }}, {{val| 0 7 2 -11 -10 -2}}];
* [[octacot]] [{{val| 1 1 1 2 }}, {{val| 0 8 18 11}}];
* [[würschmidt]] [{{val| 1 7 3 }}, {{val| 0 8 1}}];
** [[worschmidt]] [{{val| 1 7 3 -6 }}, {{val| 0 8 1 -13}}];
** [[wurschmidt]] [{{val| 1 7 3 15 }}, {{val| 0 8 1 18}}];
** [[whirrschmidt]] [{{val| 1 7 3 38 }}, {{val| 0 8 1 52}}];
* [[valentine]] [{{val| 1 1 2 }}, {{val| 0 9 5}}];
** valentine [{{val| 1 1 2 3 }}, {{val| 0 9 5 -3}}];
*** valentine [{{val| 1 1 2 3 3 }}, {{val| 0 9 5 -3 7}}];
**** valentino [{{val| 1 1 2 3 3 5 }}, {{val| 0 9 5 -3 7 -20}}];
**** dwynwen [{{val| 1 1 2 3 3 2 }}, {{val| 0 9 5 -3 7 26}}];
**** lupercalia [{{val| 1 1 2 3 3 3 }}, {{val| 0 9 5 -3 7 11}}];
* [[escapade]] [{{val| 1 2 2 }}, {{val| 0 9 -7}}];
** escapade [{{val| 1 2 2 3 }}, {{val| 0 9 -7 4}}];
** [[escaped]] [{{val| 1 2 2 4 }}, {{val| 0 9 -7 26}}];
* [[superkleismic]] [{{val| 1 4 5 2 }}, {{val| 0 9 10 -3}}];
** superkleismic [{{val| 1 4 5 2 4 }}, {{val| 0 9 10 -3 2}}];
* [[mabila]] [{{val| 1 6 1 }}, {{val| 0 10 -3}}];
* [[myna]] [{{val| 1 9 9 8 }}, {{val| 0 10 9 7}}];
** myna [{{val| 1 9 9 8 22 }}, {{val| 0 10 9 7 25}}];
*** myna [{{val| 1 9 9 8 22 0 }}, {{val| 0 10 9 7 25 -5}}];
* [[sycamore]] [{{val| 1 1 2 }}, {{val| 0 11 6}}];
** sycamore [{{val| 1 1 2 2 }}, {{val| 0 11 6 15}}];
* [[septimin]] [{{val| 1 4 1 5 }}, {{val| 0 11 -6 10}}];
* [[nusecond]] [{{val| 1 3 4 5 }}, {{val| 0 11 13 17}}];
* [[quartonic]] [{{val| 1 2 3 3 }}, {{val| 0 11 18 5}}];
* [[hemikleismic]] [{{val| 1 0 1 4 }}, {{val| 0 12 10 -9}}];
* [[clyde]] [{{val| 1 6 6 12 }}, {{val| 0 12 10 25}}];
* [[bohpier]] [{{val| 1 0 0 0 }}, {{val| 0 13 19 23}}];
* doublethink [{{val| 1 0 3 1 3 2 }}, {{val| 0 14 -6 16 4 15}}];
* [[gammic]] [{{val| 1 1 2 }}, {{val| 0 20 11}}];
** gammic [{{val| 1 1 2 0 }}, {{val| 0 20 11 96}}];
* [[Neptune (temperament)|neptune]] [{{val| 1 21 13 13 }}, {{val| 0 40 22 21}}];
* [[pluto]] [{{val| 1 5 15 15 2 }}, {{val| 0 7 26 25 -3}}];
* [[twothirdtonic]] [{{val| 1 3 2 4 4 }}, {{val| 0 13 -3 11 5}}];
** twothirdtonic [{{val| 1 3 2 4 4 5 }}, {{val| 0 13 -3 11 5 12}}];
* [[slender]] [{{val| 1 2 2 3 }}, {{val| 0 13 -10 6}}];
** slender [{{val| 1 2 2 3 4 }}, {{val| 0 13 -10 6 17}}];
* [[parakleismic]] [{{val| 1 5 6 }}, {{val| 0 13 14}}];
** parakleismic [{{val| 1 5 6 12 }}, {{val| 0 13 14 35}}];
* [[fortune]] [{{val| 1 13 -36 }}, {{val| 0 14 -47}}];
* [[hemithirds]], [[luna]] [{{val| 1 4 2 }}, {{val| 0 15 -2}}];
** hemithirds [{{val| 1 4 2 2 }}, {{val| 0 15 -2 -5}}];
*** hemithirds [{{val| 1 4 2 2 7 }}, {{val| 0 15 -2 -5 22}}];
* [[hemiwürschmidt]] [{{val| 1 15 4 7 }}, {{val| 0 16 2 5}}];
** hemiwürschmidt [{{val| 1 15 4 7 37 }}, {{val| 0 16 2 5 40}}];
* [[semisept]] [{{val| 1 12 6 12 }}, {{val| 0 17 6 15}}];
* [[vavoom]] [{{val| 1 0 4 }}, {{val| 0 17 -18}}];
* [[minortone]] [{{val| 1 16 32 }}, {{val| 0 17 35}}];
** [[mitonic]] [{{val| 1 16 32 -15 }}, {{val| 0 17 35 -21}}];
* [[casablanca]] [{{val| 1 12 10 5 }}, {{val| 0 19 14 4}}];
** casablanca [{{val| 1 12 10 5 4 }}, {{val| 0 19 14 4 1}}];
* [[tertiaseptal]] [{{val| 1 3 2 3 }}, {{val| 0 22 -5 3}}];
* [[grendel]], voodoo [{{val| 1 9 2 7 }}, {{val| 0 23 -1 13}}];
* [[gamera]] [{{val| 1 6 10 3 }}, {{val| 0 23 40 1}}];
* [[astro]] [{{val| 1 5 1 }}, {{val| 0 31 -12}}];
* semihemiwürschmidt [{{val| 1 15 4 7 24 }}, {{val| 0 32 4 10 49}}];
* [[whoosh]] [{{val| 1 17 14 }}, {{val| 0 33 25}}];
* [[yarman]] [{{val| 1 2 3 4 4 }}, {{val| 0 33 54 95 43}}];
* [[senior]] [{{val| 1 11 19 }}, {{val| 0 35 62}}];
* [[raider]] [{{val| 1 28 73 }}, {{val| 0 37 99}}];
* [[supermajor (temperament)|supermajor]] [{{val| 1 15 19 30 }}, {{val| 0 37 46 75}}];
* [[quasiorwell]] [{{val| 1 31 0 9 }}, {{val| 0 38 -3 8}}];
* semigamera [{{val| 1 6 10 3 12 }}, {{val| 0 46 80 2 89}}];
* [[gross]] [{{val| 1 45 -18 }}, {{val| 0 47 -22}}];
* [[pirate]] [{{val| 1 43 15 }}, {{val| 0 49 15}}];
* [[egads]] [{{val| 1 15 16 }}, {{val| 0 51 52}}];


<ul><li>mother [&lt;1, 2, 2, 2], &lt;0, -1, 1, 2]&gt;</li><li>father [&lt;1, 2, 2, 4], &lt;0, -1, 1, -3]&gt;</li></ul>mavila [&lt;1, 2, 1], &lt;0, -1, 3]&gt;
== Two periods per octave ==
* [[srutal]] [{{val| 2 0 11 }}, {{val| 0 1 -2}}];
** [[pajara]] [{{val| 2 0 11 12 }}, {{val| 0 1 -2 -2}}];
*** pajaric [{{val| 2 0 11 12 7 }}, {{val| 0 1 -2 -2 0}}];
*** pajarous [{{val| 2 0 11 12 -9 }}, {{val| 0 1 -2 -2 5}}];
*** pajara [{{val| 2 0 11 12 26 }}, {{val| 0 1 -2 -2 -6}}];
** [[diaschismic]] [{{val| 2 0 11 31 }}, {{val| 0 1 -2 -8}}];
*** diaschismic [{{val| 2 0 11 31 45 55 }}, {{val| 0 1 -2 -8 -12 -15}}];
** [[keen]] [{{val| 2 0 11 -23 }}, {{val| 0 1 -2 9}}];
* [[supersharp]] [{{val| 2 0 -5 }}, {{val| 0 1 3}}];
** [[octokaidecal]] [{{val| 2 0 -5 -4 }}, {{val| 0 1 3 3}}];
* [[bipelog]] [{{val| 2 0 14 15 }}, {{val| 0 1 -3 -3}}];
* [[injera]] [{{val| 2 0 -8 -7 }}, {{val| 0 1 4 4}}];
** injera [{{val| 2 0 -8 -7 -12 }}, {{val| 0 1 4 4 6}}];
* [[bischismic]] [{{val| 2 0 30 69 }}, {{val| 0 1 -8 -20}}];
* [[shrutar]] [{{val| 2 1 9 -2 }}, {{val| 0 2 -4 7}}];
** shrutar [{{val| 2 1 9 -2 8 }}, {{val| 0 2 -4 7 -1}}];
*** srutar [{{val| 2 1 9 -2 8 15 }}, {{val| 0 2 -4 7 -1 -7}}];
*** shrutar [{{val| 2 1 9 -2 8 -10 }}, {{val| 0 2 -4 7 -1 16}}];
* [[echidna]] [{{val| 2 1 9 2 }}, {{val| 0 3 -6 5}}];
** echidna [{{val| 2 1 9 2 12 }}, {{val| 0 3 -6 5 -7}}];
* [[decimal]] [{{val| 2 0 3 4 }}, {{val| 0 2 1 1}}];
* semihemi [{{val| 2 0 -35 -15 -47 }}, {{val| 0 2 25 13 34}}];
* [[lemba]] [{{val| 2 2 5 6 }}, {{val| 0 3 -1 -1}}];
* [[hedgehog]] [{{val| 2 1 1 2 }}, {{val| 0 3 5 5}}];
* [[doublewide]] [{{val| 2 1 3 }}, {{val| 0 4 3}}];
** doublewide [{{val| 2 1 3 4 }}, {{val| 0 4 3 3}}];
*** doublewide [{{val| 2 1 3 4 8 }}, {{val| 0 4 3 3 -2}}];
* [[sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15}}];
* hemiamity [{{val| 2 1 -1 13 13 }}, {{val| 0 5 13 -17 -14}}];
* [[wizard]] [{{val| 2 1 5 2 }}, {{val| 0 6 -1 10}}];
** wizard [{{val| 2 1 5 2 8 }}, {{val| 0 6 -1 10 -3}}];
* [[unidec]] [{{val| 2 5 8 5 }}, {{val| 0 6 11 -2}}];
** unidec [{{val| 2 5 8 5 6 }}, {{val| 0 6 11 -2 -3}}];
*** hendec [{{val| 2 5 8 5 6 8 }}, {{val| 0 6 11 -2 -3 2}}];
* [[harry]] [{{val| 2 4 7 7 }}, {{val| 0 6 17 10}}];
* [[vishnu]] [{{val| 2 4 5 }}, {{val| 0 7 3}}];
** vishnu [{{val| 2 4 5 10 }}, {{val| 0 7 3 37}}];
* [[kwazy]] [{{val| 2 1 6 }}, {{val| 0 8 -5}}];
** [[bisupermajor]] [{{val| 2 1 6 1 8 }}, {{val| 0 8 -5 17 -4}}];
* [[abigail]] [{{val| 2 7 13 -1 1 -2 }}, {{val| 0 11 24 -19 -17 -27}}];
* semiparakleismic [{{val| 2 10 12 24 19 }}, {{val| 0 13 14 35 23}}];
* hemigamera [{{val| 2 12 20 6 5 }}, {{val| 0 23 40 1 -5}}];


<ul><li>pelogic [&lt;1, 2, 1, 1], &lt;0, -1, 3, 4]&gt;</li><li>armodue [&lt;1, 2, 1, 5], &lt;0, -1, 3, -5]&gt;</li><li>mavila [&lt;1, 2, 1, -2], &lt;0, -1, 3, 11]&gt;</li><li>hornbostel [&lt;1, 2, 1, 8], &lt;0, -1, 3, -12]&gt;</li></ul>[[Meantone_family|meantone]] [&lt;1, 2, 4], &lt;0, -1, -4]&gt;
== Three periods per octave ==
* [[augmented (temperament)|augmented]] [{{val| 3 0 7 }}, {{val| 0 1 0}}];
** [[augene]], tripletone [{{val| 3 0 7 18 }}, {{val| 0 1 0 -2}}];
*** augene, tripletone [{{val| 3 0 7 18 20 }}, {{val| 0 1 0 -2 -2}}];
** [[august]] [{{val| 3 0 7 -1 }}, {{val| 0 1 0 2}}];
* [[misty]] [{{val| 3 0 26 }}, {{val| 0 1 -4}}];
** misty [{{val| 3 0 26 56 }}, {{val| 0 1 -4 -10}}];
* [[term (temperament)|term]] [{{val| 3 0 45 94 }}, {{val| 0 1 -8 -18}}];
* semiaug [{{val| 3 1 7 -1 }}, {{val| 0 2 0 5}}];
* [[tritikleismic]] [{{val| 3 0 3 10 }}, {{val| 0 6 5 -2}}];
* [[mutt]] [{{val| 3 5 7 8 }}, {{val| 0 7 1 -12}}];
* [[ternary (temperament)|ternary]] [{{val| 3 5 7 0 }}, {{val| 0 0 0 1}}];


<ul><li>dominant [&lt;1, 2, 4, 2], &lt;0, -1, -4, 2]&gt;<ul><li>arnold [&lt;1, 2, 4, 2, 3], &lt;0, -1, -4, 2, 1]&gt;</li><li>dominant [&lt;1, 2, 4, 2, 1], &lt;0, -1, -4, 2, 6]&gt;</li><li>domineering [&lt;1, 2, 4, 2, 6], &lt;0, -1, -4, 2, -6]&gt;<ul><li>dominatrix [&lt;1, 2, 4, 2, 6, 5], &lt;0, -1, -4, 2, -6, -3]&gt;</li></ul></li></ul></li><li>sharptone [&lt;1, 2, 4, 4], &lt;0, -1, -4, -3]&gt;<ul><li>meanertone [&lt;1, 2, 4, 4, 3], &lt;0, -1, -4, -3, 1]&gt;</li></ul></li><li>flattone [&lt;1, 2, 4, -1], &lt;0, -1, -4, 9]&gt;<ul><li>flattone <span style="background-color: #ffffff;">[&lt;1, 2, 4, -1, 6], &lt;0, -1, -4, 9, -6]&gt;</span></li></ul></li><li>meantone [&lt;1, 2, 4, 7], &lt;0, -1, -4, -10]&gt;<ul><li>meanenneadecal [&lt;1, 2, 4, 7, 6], &lt;0, -1, -4, -10, -6]&gt;</li><li>meanpop [&lt;1, 2, 4, 7, -2], &lt;0, -1, -4, -10, 13]&gt;</li><li>meantone [&lt;1, 2, 4, 7, 11], &lt;0, -1, -4, -10, -18]&gt;</li></ul></li></ul>[[Schismatic_family|helmholtz]] [&lt;1, 2, -1], &lt;0, -1, 8]&gt;
== Four or more periods per octave ==
* [[diminished (temperament)|diminished]] [{{val| 4 0 3 }}, {{val| 0 1 1}}];
** diminished [{{val| 4 0 3 5 }}, {{val| 0 1 1 1}}];
*** diminished [{{val| 4 0 3 5 14 }}, {{val| 0 1 1 1 0}}];
*** demolished [{{val| 4 0 3 5 -5 }}, {{val| 0 1 1 1 3}}];
* [[blackwood]] [{{val| 5 8 0 }}, {{val| 0 0 1}}];
** blackwood [{{val| 5 8 0 14 }}, {{val| 0 0 1 0}}];
* [[hexe]] [{{val| 6 0 14 17 }}, {{val| 0 1 0 0}}];
* [[jamesbond]] [{{val| 7 11 16 0 }}, {{val| 0 0 0 1}}];
** jamesbond [{{val| 7 11 16 0 24 }}, {{val| 0 0 0 1 0}}];
* [[whitewood]] [{{val| 7 11 0 }}, {{val| 0 0 1}}];
* [[octoid]] [{{val| 8 1 3 3 16 }}, {{val| 0 3 4 5 3}}];
* [[ennealimmal]] [{{val| 9 1 1 }}, {{val| 0 2 3}}];
** ennealimmal [{{val| 9 1 1 12 }}, {{val| 0 2 3 2}}];
*** ennealimmal [{{val| 9 1 1 12 -75 }}, {{val| 0 2 3 2 16}}];
* [[decoid]] [{{val| 10 0 47 36 }}, {{val| 0 2 -3 -1}}];
** decoid [{{val| 10 0 47 36 98 }}, {{val| 0 2 -3 -1 -8}}];
*** decoid [{{val| 10 0 47 36 98 37 }}, {{val| 0 2 -3 -1 -8 0}}];
* [[hendecatonic (temperament)|hendecatonic]] [{{val| 11 0 43 -4 }}, {{val| 0 1 -1 2}}];
* [[catler]] [{{val| 12 19 28 0 }}, {{val| 0 0 0 1}}];
* [[compton]] [{{val| 12 19 0 }}, {{val| 0 0 1}}];
** compton, waage [{{val| 12 19 0 -22 }}, {{val| 0 0 1 2}}];
*** compton, duodecimal [{{val| 12 19 0 -22 -42 }}, {{val| 0 0 1 2 3}}];
* duodecim [{{val| 12 19 28 34 0 }}, {{val| 0 0 0 0 1}}];
* [[atomic]] [{{val| 12 0 161 }}, {{val| 0 1 -7}}];
* hemiennealimmal [{{val| 18 0 -1 22 48 }}, {{val| 0 2 3 2 1}}];
* [[enneadecal]] [{{val| 19 0 14 }}, {{val| 0 1 1}}];
** enneadecal [{{val| 19 0 14 -37 }}, {{val| 0 1 1 3}}];
* undevigintone [{{val| 19 30 44 53 0 }}, {{val| 0 0 0 0 1}}];
* icosidillic [{{val| 22 0 86 -8 111 }}, {{val| 0 1 -1 2 -1}}];
* vigintiduo [{{val| 22 35 51 62 0 }}, {{val| 0 0 0 0 1}}];
* [[mystery]] [{{val| 29 46 0 14 33 40 }}, {{val| 0 0 1 1 1 1}}];
* hemienneadecal [{{val| 38 0 28 -74 11 }}, {{val| 0 1 1 3 2}}];


<ul><li>schism [&lt;1, 2, -1, 2], &lt;0, -1, 8, 2]&gt;</li><li>garibaldi [&lt;1, 2, -1, -3], &lt;0, -1, 8, 14]&gt;<ul><li>garibaldi [&lt;1, 2, -1, -3, 13], &lt;0, -1, 8, 14, -23]&gt;<ul><li>garibaldi [&lt;1, 2, -1, -3, 13, 12], &lt;0, -1, 8, 14, -23, -20]&gt;</li></ul></li><li>cassandra [&lt;1, 2, -1, -3, -4], &lt;0, -1, 8, 14, 18]&gt;<ul><li>cassandra [&lt;1, 2, -1, -3, -4, -5], &lt;0, -1, 8, 14, 18, 21]&gt;</li></ul></li></ul></li><li>grackle [&lt;1, 2, -1, -8], &lt;0, -1, 8, 26]&gt;</li><li>pontiac, infraschismic [&lt;1, 2, -1, 19], &lt;0, -1, 8, -39]&gt;</li></ul>superpyth [&lt;1, 2, 6], &lt;0, -1, -9]&gt;
== See also ==
* [[Kite's thoughts on pergens]]
* [[Temperament naming]]


<ul><li>superpyth [&lt;1, 2, 6, 2], &lt;0, -1, -9, 2]&gt;</li><li>superpyth [&lt;1, 2, 6, 2, 10], &lt;0, -1, -9, 2, -16]&gt;</li><li>suprapyth [&lt;1, 2, 6, 2, 1], &lt;0, -1, -9, 2, 6]&gt;</li></ul>quasisuper [&lt;1, 2, -3, 2], &lt;0, -1, 13, 2]&gt;
[[Category:Lists of temperaments]]
 
[[Category:Temperament naming]]
leapday [&lt;1, 2, 11, 9, 8, 7], &lt;0, -1, -21, -15, -11, -8]&gt;
[[Category:Regular temperament theory]]
 
kwai [&lt;1, 2, 16, 14], &lt;0, -1, -33, -27]&gt;
 
<ul><li>kwai [&lt;1, 2, 16, 14, -4], &lt;0, -1, -33, -27, 18]&gt;</li></ul>undecental [&lt;1, 2, -13, -15], &lt;0, -1, 37, 43]&gt;
 
counterschismic [&lt;1, 2, 21], &lt;0, -1, -45]&gt;
 
[[Dicot_family|dicot]] [&lt;1, 1, 2], &lt;0, 2, 1]&gt;
 
<ul><li>dicot [&lt;1, 1, 2, 2], &lt;0, 2, 1, 3]&gt;</li><li>sharp [&lt;1, 1, 2, 1], &lt;0, 2, 1, 6]&gt;</li></ul>[[Meantone_family#Mohajira|mohajira]] semififths[&lt;1, 1, 0, 6], &lt;0, 2, 8, -11]&gt;
 
<ul><li>mohajira &lt;1, 1, 0, 6, 2], &lt;0, 2, 8, -11, 5]&gt;</li></ul>[[Meantone_family|maqamic]] [&lt;1, 1, 0, 4, 2], &lt;0, 2, 8, -4, 5]&gt;
 
<ul><li>maqamic &lt;1, 1, 0, 4, 2, 4], &lt;0, 2, 8, -4, 5, -1]&gt;</li></ul>beatles [&lt;1, 1, 5, 4], &lt;0, 2, -9, -4]&gt;
 
[[Turkish_maqam_music_temperaments|karadeniz]] [&lt;1, 1, 7, 11, 2], &lt;0, 2, -16, -28, 5]&gt;
 
[[Breedsmic_temperaments#Hemififths|hemififths]] [&lt;1, 1, -5, -1], &lt;0, 2, 25, 13]&gt;
 
[[Bug_family|bug]] [&lt;1, 2, 3], &lt;0, -2, -3]&gt;
 
<ul><li>beep [&lt;1, 2, 3, 3], &lt;0, -2, -3, -1]&gt;<ul><li>pentoid [&lt;1, 2, 3, 3, 3], &lt;0, -2, -3, -1, 2]&gt;</li></ul></li></ul>superpelog [&lt;1, 2, 1, 3], &lt;0, -2, 6, -1]&gt;
 
[[Meantone_family#Godzilla|godzilla]] [&lt;1, 2, 4, 3], &lt;0, -2, -8, -1]&gt;
 
monzismic [&lt;1, 2, 10], &lt;0, -2, -37]&gt;
 
[[Gamelismic_clan#Gidorah|gidorah]] [&lt;1, 1, 2, 3], &lt;0, 3, 2, -1]&gt;
 
penta [&lt;1, 1, 2, 2], &lt;0, 3, 2, 4]&gt;
 
[[Laconic_Family|laconic]] [&lt;1, 1, 1], &lt;0, 3, 7]&gt;
 
[[Gamelismic_clan#Gorgo|gorgo]] [&lt;1, 1, 1, 3], &lt;0, 3, 7, -1]
 
<ul><li>gorgo [&lt;1 1 1 3 1|, &lt;0 3 7 -1 13|&gt;<ul><li>gorgo [&lt;1 1 1 3 1 2|, &lt;0 3 7 -1 13 9|&gt;</li></ul></li><li>spartan [&lt;1 1 1 3 5|, &lt;0 3 7 -1 -8|&gt;</li></ul>[[Meantone_family#Mothra|mothra]], cynder [&lt;1, 1, 0, 3], &lt;0, 3, 12, -1]&gt;
 
<ul><li>mothra, cynder [&lt;1, 1, 0, 3, 5], &lt;0, 3, 12, -1, -8]&gt;</li></ul>[[Gamelismic_clan#Rodan|rodan]] [&lt;1, 1, -1, 3], &lt;0, 3, 17, -1]&gt;
 
<ul><li>[[Gamelismic_clan#Rodan|rodan]][&lt;1, 1, -1, 3, 6], &lt;0, 3, 17, -1, -13]&gt;<ul><li>[[Gamelismic_clan#Rodan|rodan]] [&lt;1, 1, -1, 3, 6, 8], &lt;0, 3, 17, -1, -13, -22]&gt;</li><li>[[Gamelismic_clan#Rodan|aerodactyl]] [&lt;1, 1, -1, 3, 6, -1], &lt;0, 3, 17, -1, -13, 24]&gt;</li></ul></li></ul>[[Schismatic_family#Guiron|guiron]] [&lt;1, 1, 7, 3], &lt;0, 3, -24, -1]&gt;
 
[[Porcupine_family|porcupine]] [&lt;1, 2, 3], &lt;0, -3, -5]&gt;
 
<ul><li>hystrix [&lt;1, 2, 3, 3], &lt;0, -3, -5, -1]&gt;</li><li>porcupine [&lt;1, 2, 3, 2], &lt;0, -3, -5, 6]&gt;<ul><li>porcupine [&lt;1, 2, 3, 2, 4], &lt;0, -3, -5, 6, -4]&gt;</li></ul></li><li>opossum, pentadecimal [&lt;1, 2, 3, 4], &lt;0, -3, -5, -9]&gt;<ul><li>opossum [&lt;1, 2, 3, 4, 4], &lt;0, -3, -5, -9, -4]&gt;</li></ul></li><li>coendou [&lt;1, 2, 3, 1, 4, 3], &lt;0, -3, -5, 13, -4, 5]&gt;</li><li>ammonite [&lt;1, 5, 8, 10], &lt;0, -9, -15, -19]&gt;</li><li>porcupinefish [&lt;1, 2, 3, 2, 4, 6], &lt;0, -3, -5, 6, -4, -17]&gt;</li></ul>triton [&lt;1, 3, -1, -1], &lt;0, -3, 7, 8]&gt;
 
[[Meantone_family#liese|liese]], gawel [&lt;1, 3, 8, 8], &lt;0, -3, -12, -11]&gt;
 
tricot [&lt;1, 3, 16], &lt;0, -3, -29]&gt;
 
[[Tetracot_family|tetracot]] [&lt;1, 1, 1], &lt;0, 4, 9]&gt;
 
<ul><li>monkey [&lt;1, 1, 1, 5], &lt;0, 4, 9, -15]&gt;</li><li>bunya [&lt;1, 1, 1, -1], &lt;0, 4, 9, 26]&gt;</li></ul>vulture [&lt;1, 0, -6], &lt;0, 4, 21]&gt;
 
<ul><li>buzzard [&lt;1, 0, -6, 4], &lt;0, 4, 21, -3]&gt;<ul><li>buzzard [&lt;1, 0, -6, 4, -12, -7], &lt;0, 4, 21, -3, 39, 27]&gt;</li></ul></li></ul>[[Schismatic_family|sesquiquartififths]] [&lt;1, 1, 7, 5], &lt;0, 4, -32, -15]&gt;
 
semihemififths [&lt;1, 1, -5, -1, 8], &lt;0, 4, 50, 26, -31]&gt;
 
[[Dicot_family|sidi]] [&lt;1, 3, 3, 6], &lt;0, -4, -2, -9]&gt;
 
negri [&lt;1, 2, 2], &lt;0, -4, 3]&gt;
 
<ul><li>negri [&lt;1, 2, 2, 3], &lt;0, -4, 3, -2]&gt;<ul><li>negri [&lt;1 2 2 3 4|, &lt;0 -4 3 -2 -5|]<ul><li>negri [&lt;1 2 2 3 4 4|, &lt;0 -4 3 -2 -5 -3|]</li></ul></li><li>negril [&lt;1 2 2 3 2|, &lt;0 -4 3 -2 14|]<ul><li>negril [&lt;1, 2, 2, 3, 2, 4], &lt;0, -4, 3, -2, 14, -3]&gt;</li></ul></li></ul></li></ul>sentinel [&lt;1, 3, -3, 6], &lt;0, -4, 15, -9]&gt;
 
[[Meantone_family#Squares|squares]] [&lt;1, 3, 8, 6], &lt;0, -4, -16, -9]&gt;
 
[[Magic_family|magic]] [&lt;1, 0, 2], &lt;0, 5, 1]&gt;
 
<ul><li>muggles [&lt;1, 0, 2, 5], &lt;0, 5, 1, -7]&gt;</li><li>magic [&lt;1, 0, 2, -1], &lt;0, 5, 1, 12]&gt;<ul><li>magic [&lt;1, 0, 2, -1, 6], &lt;0, 5, 1, 12, -8]&gt;</li></ul></li></ul>passion [&lt;1, 2, 2], &lt;0, -5, 4]&gt;
 
<ul><li>passion [&lt;1, 2, 2, 2], &lt;0, -5, 4, 10]&gt;</li></ul>ripple [&lt;1, 2, 3], &lt;0, -5, -8]&gt;
 
<ul><li>ripple [&lt;1, 2, 3, 3], &lt;0, -5, -8, -2]&gt;</li></ul>tritonic [&lt;1, 4, -3, -3], &lt;0, -5, 11, 12]&gt;
 
<ul><li>tritonic [&lt;1, 4, -3, -3, 2], &lt;0, -5, 11, 12, 3]&gt;</li></ul>[[Ragismic_microtemperaments|amity]] [&lt;1, 3, 6], &lt;0, -5, -13]&gt;
 
<ul><li>amity [&lt;1, 3, 6, -2], &lt;0, -5, -13, 17]&gt;<ul><li>hitchcock, amity [&lt;1, 3, 6, -2, 6], &lt;0, -5, -13, 17, -9]&gt;<ul><li>hitchcock [&lt;1, 3, 6, -2, 6, 2], &lt;0, -5, -13, 17, -9, 6]&gt;</li></ul></li></ul></li></ul>gravity [&lt;1, 5, 12], &lt;0, -6, -17]&gt;
 
[[Kleismic_family|hanson]] [&lt;1, 0, 1], &lt;0, 6, 5]&gt;
 
<ul><li>keemun [&lt;1, 0, 1, 2], &lt;0, 6, 5, 3]&gt;<ul><li>keemun [&lt;1, 0, 1, 2, 4], &lt;0, 6, 5, 3, -2]&gt;</li></ul></li><li>catakleismic [&lt;1, 0, 1, -3], &lt;0, 6, 5, 22]&gt;<ul><li>catakleismic [&lt;1, 0, 1, -3, 9], &lt;0, 6, 5, 22, -21]&gt;<ul><li>catakleismic [&lt;1, 0, 1, -3, 9, 0], &lt;0, 6, 5, 22, -21, 14]&gt;</li></ul></li></ul></li><li>countercata [&lt;1, 0, 1, 11], &lt;0, 6, 5, -31]&gt;</li></ul>ampersand [&lt;1, 1, 3], &lt;0, 6, -7]&gt;
 
<ul><li>[[Gamelismic_clan#Miracle|miracle]][&lt;1, 1, 3, 3], &lt;0, 6, -7, -2]&gt;<ul><li>miracle [&lt;1, 1, 3, 3, 2], &lt;0, 6, -7, -2, 15]&gt;</li></ul></li></ul>marvo [&lt;1, -1, -5, -17], &lt;0, 6, 17, 46]&gt;
 
[[Porcupine_family|nautilus]] [&lt;1, 2, 3, 3], &lt;0, -6, -10, -3]&gt;
 
[[Semicomma_family|orson]] [&lt;1, 0, 3], &lt;0, 7, -3]&gt;
 
<ul><li>orwell [&lt;1, 0, 3, 1], &lt;0, 7, -3, 8]&gt;<ul><li>orwell [&lt;1, 0, 3, 1, 3], &lt;0, 7, -3, 8, 2]&gt;<ul><li>orwell [&lt;1, 0, 3, 1, 3, 8], &lt;0, 7, -3, 8, 2, -19]&gt;</li><li>blair [&lt;1, 0, 3, 1, 3, 3], &lt;0, 7, -3, 8, 2, 3]&gt;</li><li>winston [&lt;1, 0, 3, 1, 3, 1], &lt;0, 7, -3, 8, 2, 12]&gt;</li><li>doublethink [&lt;1, 0, 3, 1, 3, 2], &lt;0, 14, -6, 16, 4, 15]&gt;</li></ul></li></ul></li></ul>sensi [&lt;1, -1, -1], &lt;0, 7, 9]&gt;
 
<ul><li>[[Starling_temperaments#Sensi temperament|sensi]] [&lt;1, -1, -1, -2], &lt;0, 7, 9, 13]&gt;</li></ul>[[Starling_temperaments#Sensi temperament-Sensor|sensor]] [&lt;1, -1, -1, -2, 9], &lt;0, 7, 9, 13, -15]&gt;
 
<ul><li>sensor [&lt;1, -1, -1, -2, 9, 0], &lt;0, 7, 9, 13, -15, 10]&gt;</li></ul>[[Starling_temperaments#Sensi temperament-Sensis|sensis]] [&lt;1 6 8 11 6|, &lt;0 -7 -9 -13 -4|]
 
<ul><li>sensis [&lt;1 6 8 11 6 10|, &lt;0 -7 -9 -13 -4 -10|]</li></ul>[[Starling_temperaments#Sensi temperament-Sensus|sensus]] [&lt;1 6 8 11 23|, &lt;0 -7 -9 -13 -31|]
 
<ul><li>sensus [&lt;1 6 8 11 23 10|, &lt;0 -7 -9 -13 -31 -10|]</li></ul>roman [&lt;1, 4, 3, -1, 0, 3], &lt;0, -7, -2, 11, 10, 2]&gt;
 
[[Tetracot_family#Octacot|octacot]] [&lt;1, 1, 1, 2], &lt;0, 8, 18, 11]&gt;
 
[[Würschmidt_family|würschmidt]] [&lt;1, -1, 2], &lt;0, 8, 1]&gt;
 
<ul><li>worschmidt [&lt;1, -1, 2, 7], &lt;0, 8, 1, -13]&gt;</li><li>wurschmidt [&lt;1, -1, 2, -3], &lt;0, 8, 1, 18]&gt;</li><li>whirrschmidt [&lt;1, 7, 3, 38], &lt;0, -8, -1, -52]&gt;</li></ul>valentine [&lt;1, 1, 2], &lt;0, 9, 5]&gt;
 
<ul><li>[[Starling_temperaments#Valentine temperament|valentine]][&lt;1, 1, 2, 3], &lt;0, 9, 5, -3]&gt;<ul><li>valentine [&lt;1, 1, 2, 3, 3], &lt;0, 9, 5, -3, 7]&gt;<ul><li>[[Starling_temperaments#Valentine temperament-Valentino|valentino]] [&lt;1, 1, 2, 3, 3, 5], &lt;0, 9, 5, -3, 7, -20]&gt;</li><li>[[Starling_temperaments#Valentine temperament-Dwynwen|dwynwen]] [&lt;1, 1, 2, 3, 3, 2], &lt;0, 9, 5, -3, 7, 26]&gt;</li><li>[[Starling_temperaments#Valentine temperament-Lupercalia|lupercalia]] [&lt;1 1 2 3 3 3|, &lt;0 9 5 -3 7 11|]</li></ul></li></ul></li></ul>escapade [&lt;1, 2, 2], &lt;0, -9, 7]&gt;
 
<ul><li>escapade [&lt;1, 2, 2, 3], &lt;0, -9, 7, -4]&gt;</li><li>escaped [&lt;1, 2, 2, 4], &lt;0, -9, 7, -26]&gt;</li></ul>[[Gamelismic_clan#Superkleismic|superkleismic]] [&lt;1, 4, 5, 2], &lt;0, -9, -10, 3]&gt;
 
<ul><li>superkleismic [&lt;1, 4, 5, 2, 4], &lt;0, -9, -10, 3, -2]&gt;</li></ul>[[Starling_temperaments#Myna temperament|myna]] [&lt;1, -1, 0, 1], &lt;0, 10, 9, 7]&gt;
 
<ul><li>myna [&lt;1, -1, 0, 1, -3], &lt;0, 10, 9, 7, 25]&gt;<ul><li>myna [&lt;1, -1, 0, 1, -3, 5], &lt;0, 10, 9, 7, 25, -5]&gt;</li></ul></li></ul>[[Sycamore_family|sycamore]] [&lt;1, 1, 2], &lt;0, 11, 6]&gt;
 
<ul><li>sycamore [&lt;1, 1, 2, 2], &lt;0, 11, 6, 15]&gt;</li></ul>septimin [&lt;1, 4, 1, 5], &lt;0, -11, 6, -10]&gt;
 
[[Starling_temperaments#Nusecond temperament|nusecond]] [&lt;1, 3, 4, 5], &lt;0, -11, -13, -17]&gt;
 
quartonic [&lt;1, 2, 3, 3], &lt;0, -11, -18, -5]&gt;
 
[[Kleismic_family|hemikleismic]] [&lt;1, 0, 1, 4], &lt;0, 12, 10, -9]&gt;
 
[[Kleismic_family|clyde]] [&lt;1, 6, 6, 12], &lt;0, -12, -10, -25]&gt;
 
bohpier [&lt;1, 0, 0, 0], &lt;0, 13, 19, 23]&gt;
 
[[Gammic_family|gammic]] [&lt;1, 1, 2], &lt;0, 20, 11]&gt;
 
<ul><li>gammic [&lt;1, 1, 2, 0], &lt;0, 20, 11, 96]&gt;</li></ul>[[Gammic_family|neptune]] [&lt;1, 21, 13, 13], &lt;0, -40, -22, -21]&gt;
 
pluto [&lt;1, 5, 15, 15, 2], &lt;0, 7, 26, 25, -3]&gt;
 
twothirdtonic [&lt;1, 3, 2, 4, 4], &lt;0, -13, 3, -11, -5]&gt;
 
<ul><li>twothirdtonic [&lt;1, 3, 2, 4, 4, 5], &lt;0, -13, 3, -11, -5, -12]&gt;</li></ul>slender [&lt;1, 2, 2, 3], &lt;0, -13, 10, -6]&gt;
 
<ul><li>slender [&lt;1, 2, 2, 3, 4], &lt;0, -13, 10, -6, -17]&gt;</li></ul>[[Ragismic_microtemperaments|parakleismic]] [&lt;1, 5, 6], &lt;0, -13, -14]&gt;
 
<ul><li>parakleismic [&lt;1, 5, 6, 12], &lt;0, -13, -14, -35]&gt;</li></ul>fortune [&lt;1, -1, 11], &lt;0, 14, -47]&gt;
 
hemithirds, luna [&lt;1, 4, 2], &lt;0, -15, 2]&gt;
 
<ul><li>[[Gamelismic_clan#Hemithirds|hemithirds]][&lt;1, 4, 2, 2], &lt;0, -15, 2, 5]&gt;<ul><li>[[Gamelismic_clan#Hemithirds|hemithirds]] [&lt;1, 4, 2, 2, 7], &lt;0, -15, 2, 5, -22]&gt;</li></ul></li></ul>[[Wuerschmidt_family|hemiwürschmidt]] [&lt;1, -1, 2, 2], &lt;0, 16, 2, 5]&gt;
 
<ul><li>hemiwürschmidt [&lt;1, -1, 2, 2, -3], &lt;0, 16, 2, 5, 40]&gt;</li></ul>semisept [&lt;1, -5, 0, -3], &lt;0, 17, 6, 15]&gt;
 
vavoom [&lt;1, 0, 4], &lt;0, 17, -18]&gt;
 
[[Minortonic_family|minortone]] [&lt;1, -1, -3], &lt;0, 17, 35]&gt;
 
<ul><li>[[Minortonic_family#Mitonic|mitonic]] [&lt;1, -1, -3, 6], &lt;0, 17, 35, -21]&gt;</li></ul>[[Starling_temperaments|casablanca]] [&lt;1, -7, -4, 1], &lt;0, 19, 14, 4]&gt;
 
<ul><li>[[Starling_temperaments#Casablanca temperament|casablanca]] [&lt;1, -7, -4, 1, 3], &lt;0, 19, 14, 4, 1]&gt;</li></ul>[[Breedsmic_temperaments|tertiaseptal]] [&lt;1, 3, 2, 3], &lt;0, -22, 5, -3]&gt;
 
grendel, voodoo [&lt;1, 9, 2, 7], &lt;0, -23, 1, -13]&gt;
 
gamera [&lt;1, 6, 10, 3], &lt;0, -23, -40, -1]&gt;
 
astro [&lt;1, 5, 1], &lt;0, -31, 12]&gt;
 
semihemiwürschmidt [&lt;1, 15, 4, 7, 24], &lt;0, -32, -4, -10, -49]&gt;
 
whoosh [&lt;1, 17, 14], &lt;0, -33, -25]&gt;
 
[[Turkish_maqam_music_temperaments|yarman]] [&lt;1, 2, 3, 4, 4], &lt;0, -33, -54, -95, -43]&gt;
 
senior [&lt;1, 11, 19], &lt;0, -35, -62]&gt;
 
raider [&lt;1, -9, -26], &lt;0, 37, 99]&gt;
 
supermajor [&lt;1, 15, 19, 30], &lt;0, -37, -46, -75]&gt;
 
[[Breedsmic_temperaments|quasiorwell]] [&lt;1, -7, 3, 1], &lt;0, 38, -3, 8]&gt;
 
semigamera [&lt;1, 6, 10, 3, 12], &lt;0, -46, -80, -2, -89]&gt;
 
gross [&lt;1, -2, 4], &lt;0, 47, -22]&gt;
 
pirate [&lt;1, -6, 0], &lt;0, 49, 15]&gt;
 
egads [&lt;1, 15, 16], &lt;0, -51, -52]&gt;
 
avila [&lt;1, 1, -1], &lt;0, 1, 6]&gt;
 
mabila [&lt;1, 6, 1], &lt;0, -10, 3]&gt;
 
pycnic [&lt;1, 3, -1, 8], &lt;0, -3, 7, -11]&gt;
 
enipucrop [&lt;1, 2, 2], &lt;0, -3, 2]&gt;
 
=Two periods per octave=
[[Diaschismic_family|srutal]] [&lt;2, 3, 5], &lt;0, 1, -2]&gt;
 
<ul><li>pajara [&lt;2, 3, 5, 6], &lt;0, 1, -2, -2]&gt;<ul><li>pajaric [&lt;2, 3, 5, 6, 7], &lt;0, 1, -2, -2, 0]&gt;</li><li>pajarous [&lt;2, 3, 5, 6, 6], &lt;0, 1, -2, -2, 5]&gt;</li><li>pajara [&lt;2, 3, 5, 6, 8], &lt;0, 1, -2, -2, -6]&gt;</li></ul></li><li>diaschismic [&lt;2, 3, 5, 7], &lt;0, 1, -2, -8]&gt;<ul><li>diaschismic [&lt;2, 3, 5, 7, 9, 10], &lt;0, 1, -2, -8, -12, -15]&gt;</li></ul></li><li>keen [&lt;2, 3, 5, 4], &lt;0, 1, -2, 9]&gt;</li></ul>supersharp [&lt;2, 3, 4], &lt;0, 1, 3]&gt;
 
<ul><li>octokaidecal [&lt;2, 3, 4, 5], &lt;0, 1, 3, 3]&gt;</li></ul>bipelog [&lt;2, 3, 5, 6], &lt;0, 1, -3, -3]&gt;
 
[[Meantone_family|injera]] [&lt;2, 3, 4, 5], &lt;0, 1, 4, 4]&gt;
 
<ul><li>injera [&lt;2, 3, 4, 5, 6], &lt;0, 1, 4, 4, 6]&gt;</li></ul>[[Schismatic_family|bischismic]] [&lt;2, 3, 6, 9], &lt;0, 1, -8, -20]&gt;
 
[[Diaschismic_family|shrutar]] [&lt;2, 3, 5, 5], &lt;0, 2, -4, 7]&gt;
 
<ul><li>shrutar [&lt;2, 3, 5, 5, 7], &lt;0, 2, -4, 7, -1]&gt;<ul><li>srutar [&lt;2, 3, 5, 5, 7, 8], &lt;0, 2, -4, 7, -1, -7]&gt;</li><li>shrutar [&lt;2, 3, 5, 5, 7, 6], &lt;0, 2, -4, 7, -1, 16]&gt;</li></ul></li></ul>[[Diaschismic_family|echidna]] [&lt;2, 1, 9, 2], &lt;0, 3, -6, 5]&gt;
 
<ul><li>echidna [&lt;2, 1, 9, 2, 12], &lt;0, 3, -6, 5, -7]&gt;</li></ul>[[Dicot_family|decimal]] [&lt;2, 4, 5, 6], &lt;0, -2, -1, -1]&gt;
 
[[Breedsmic_temperaments#Semihemi|Semihemi]] [&lt;2, 4, 15, 11, 21], &lt;0, -2, -25, -13, -34]&gt;
 
[[Gamelismic_clan#Lemba|lemba]] [&lt;2, 2, 5, 6], &lt;0, 3, -1, -1]&gt;
 
[[Porcupine_family|hedgehog]] [&lt;2, 4, 6, 7], &lt;0, -3, -5, -5]&gt;
 
doublewide [&lt;2, 5, 6], &lt;0, -4, -3]&gt;
 
<ul><li>[[Jubilismic_clan|doublewide]][&lt;2, 5, 6, 7], &lt;0, -4, -3, -3]&gt;<ul><li>[[Jubilismic_clan|doublewide]] [&lt;2, 5, 6, 7, 6], &lt;0, -4, -3, -3, 2]&gt;</li></ul></li></ul>[[Schismatic_family|sesquiquartififths]] [&lt;2, 2, 14, 10], &lt;0, 4, -32, -15]&gt;
 
hemiamity [&lt;2, 1, -1, 13, 13], &lt;0, 5, 13, -17, -14]&gt;
 
wizard [&lt;2, 1, 5, 2], &lt;0, 6, -1, 10]&gt;
 
<ul><li>wizard [&lt;2, 1, 5, 2, 8], &lt;0, 6, -1, 10, -3]&gt;</li></ul>[[Gamelismic_clan#Unidec|unidec]] [&lt;2, 5, 8, 5], &lt;0, -6, -11, 2]&gt;
 
<ul><li>unidec [&lt;2, 5, 8, 5, 6], &lt;0, -6, -11, 2, 3]&gt;<ul><li>hendec [&lt;2, 5, 8, 5, 6, 8], &lt;0, -6, -11, 2, 3, -2]&gt;</li></ul></li></ul>[[Breedsmic_temperaments|harry]] [&lt;2, 4, 7, 7], &lt;0, -6, -17, -10]&gt;
 
vishnu [&lt;2, 4, 5], &lt;0, -7, -3]&gt;
 
<ul><li>vishnu [&lt;2, 4, 5, 10], &lt;0, -7, -3, -37]&gt;</li></ul>kwazy [&lt;2, 1, 6], &lt;0, 8, -5]&gt;
 
<ul><li>bisupermajor [&lt;2, 1, 6, 1, 8], &lt;0, 8, -5, 17, -4]&gt;</li></ul>semiparakleismic [&lt;2, -3, -2, -11, -4], &lt;0, 13, 14, 35, 23]&gt;
 
hemigamera [&lt;2, 12, 20, 6], &lt;0, -23, -40, -1]&gt;
 
<ul><li>hemigamera [&lt;2, 12, 20, 6, 5], &lt;0, -23, -40, -1, 5]&gt;</li></ul>abigail [&lt;2, 7, 13, -1, 1, -2], &lt;0, -11, -24, 19, 17, 27]&gt;
 
=Three periods per octave=
[[Augmented_family|augmented]] [&lt;3, 5, 7], &lt;0, -1, 0]&gt;
 
<ul><li>augene, tripletone [&lt;3, 5, 7, 8], &lt;0, -1, 0, 2]&gt;<ul><li>augene, tripletone [&lt;3, 5, 7, 8, 10], &lt;0, -1, 0, 2, 2]&gt;</li></ul></li><li>august [&lt;3, 5, 7, 9], &lt;0, -1, 0, -2]&gt;</li></ul>misty [&lt;3, 5, 6], &lt;0, -1, 4]&gt;
 
<ul><li>misty [&lt;3, 5, 6, 6], &lt;0, -1, 4, 10]&gt;</li></ul>term [&lt;3, 5, 5, 4], &lt;0, -1, 8, 18]&gt;
 
semiaug [&lt;3, 5, 7, 9], &lt;0, -2, 0, -5]&gt;
 
[[Kleismic_family|tritikleismic]] [&lt;3, 6, 8, 8], &lt;0, -6, -5, 2]&gt;
 
[[Mutt_family|mutt]] [&lt;3, 5, 7, 8], &lt;0, -7, -1, 12]&gt;
 
ternary [&lt;3, 5, 7, 8], &lt;3, 5, 7, 9]&gt;
 
=Four or more periods per octave=
diminished [&lt;4, 6, 9], &lt;0, 1, 1]&gt;
 
<ul><li>diminished [&lt;4, 6, 9, 11], &lt;0, 1, 1, 1]&gt;<ul><li>diminished [&lt;4, 6, 9, 11, 14], &lt;0, 1, 1, 1, 0]&gt;</li><li>demolished [&lt;4, 6, 9, 11, 13], &lt;0, 1, 1, 1, 3]&gt;</li></ul></li></ul>blackwood [&lt;5, 8, 12], &lt;0, 0, -1]&gt;
 
<ul><li>blacksmith [&lt;5, 8, 12, 14], &lt;0, 0, -1, 0]&gt;</li></ul>hexe [&lt;6, 10, 14, 17], &lt;0, -1, 0, 0]&gt;
 
jamesbond [&lt;7, 11, 16, 20], &lt;0, 0, 0, -1]&gt;
 
<ul><li>jamesbond [&lt;7, 11, 16, 20, 24], &lt;0, 0, 0, -1, 0]&gt;</li></ul>whitewood [&lt;7, 11, 16], &lt;0, 0, 1]&gt;
 
octoid [&lt;8, 13, 19, 23, 28], &lt;0, -3, -4, -5, -3]&gt;
 
[[Ragismic_microtemperaments|ennealimmal]] [&lt;9, 15, 22], &lt;0, -2, -3]&gt;
 
<ul><li>ennealimmal [&lt;9, 15, 22, 26], &lt;0, -2, -3, -2]&gt;<ul><li>ennealimmal [&lt;9, 15, 22, 26, 37], &lt;0, -2, -3, -2, -16]&gt;</li></ul></li></ul>[[Breedsmic_temperaments|decoid]] [&lt;10 0 47 36|, &lt;0 2 -3 -1|]
 
<ul><li>decoid [&lt;10 0 47 36 98|, &lt;0 2 -3 -1 -8|]<ul><li>decoid [&lt;10 0 47 36 98 37|, &lt;0 2 -3 -1 -8 0|]</li></ul></li></ul>hendecatonic [&lt;11, 17, 26, 30], &lt;0, 1, -1, 2]&gt;
 
[[Pythagorean_family|catler]] [&lt;12, 19, 28, 34], &lt;0, 0, 0, -1]&gt;
 
[[Pythagorean_family|compton]] [&lt;12, 19, 28], &lt;0, 0, -1]&gt;
 
<ul><li>compton, waage [&lt;12, 19, 28, 34], &lt;0, 0, -1, -2]&gt;<ul><li>compton, duodecimal [&lt;12, 19, 28, 34, 42], &lt;0, 0, -1, -2, -3]&gt;</li></ul></li></ul>duodecim <span style="background-color: #ffffff;">[&lt;12, 19, 28, 34, 42], &lt;0, 0, 0, 0, -1]&gt;</span>
 
atomic [&lt;12, 19, 28], &lt;0, 1, -7]&gt;
 
hemiennealimmal [&lt;18, 28, 41, 50, 62], &lt;0, 2, 3, 2, 1]&gt;
 
[[Ragismic_microtemperaments|enneadecal]] [&lt;19, 30, 44], &lt;0, 1, 1]&gt;
 
<ul><li>enneadecal [&lt;19, 30, 44, 53], &lt;0, 1, 1, 3]&gt;</li></ul>undevigintone <span style="background-color: #ffffff;">[&lt;19, 30, 44, 53, 66], &lt;0, 0, 0, 0, -1]&gt;</span>
 
icosidillic [&lt;22, 35, 51, 62, 76], &lt;0, -1, 1, -2, 1]&gt;
 
<span style="background-color: #ffffff;">vigintiduo [&lt;22, 35, 51, 62, 76], &lt;0, 0, 0, 0, 1]&gt;</span>
 
mystery [&lt;29, 46, 67, 81, 100, 107], &lt;0, 0, 1, 1, 1, 1]&gt;
 
hemienneadecal [&lt;38, 60, 88, 106, 131], &lt;0, 1, 1, 3, 2]&gt;
[[Category:list]]
[[Category:project]]
[[Category:proposal]]
[[Category:rank_2]]
[[Category:temperament]]
[[Category:theory]]
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