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Proposed names for rank-2 temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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.)
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-06-11 20:51:24 UTC</tt>.<br>
: The original revision id was <tt>148454101</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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=  
{{Todo|inline=1| update }}
mother [&lt;1, 2, 2, 2], &lt;0, -1, 1, 2]&gt;
 
father [&lt;1, 2, 2, 4], &lt;0, -1, 1, -3]&gt;
== One period per octave ==
mavila [&lt;1, 2, 1, 1], &lt;0, -1, 3, 4]&gt;
* [[father]] [{{val| 1 0 4 }}, {{val| 0 1 -1}}];
hexadecimal, pelogic [&lt;1, 2, 1, 5], &lt;0, -1, 3, -5]&gt;
** mother [{{val| 1 0 4 6 }}, {{val| 0 1 -1 -2}}];
dominant [&lt;1, 2, 4, 2], &lt;0, -1, -4, 2]&gt;
** father [{{val| 1 0 4 -2 }}, {{val| 0 1 -1 3}}];
sharptone [&lt;1, 2, 4, 4], &lt;0, -1, -4, -3]&gt;
* [[mavila]] [{{val| 1 0 7 }}, {{val| 0 1 -3}}];
flattone [&lt;1, 2, 4, -1], &lt;0, -1, -4, 9]&gt;
** [[pelogic]] [{{val| 1 0 7 9 }}, {{val| 0 1 -3 -4}}];
meantone [&lt;1, 2, 4, 7], &lt;0, -1, -4, -10]&gt;
** [[armodue (temperament)|armodue]] [{{val| 1 0 7 -5 }}, {{val| 0 1 -3 5}}];
schism [&lt;1, 2, -1, 2], &lt;0, -1, 8, 2]&gt;
** mavila [{{val| 1 0 7 20 }}, {{val| 0 1 -3 -11}}];
garibaldi [&lt;1, 2, -1, -3], &lt;0, -1, 8, 14]&gt;
** hornbostel [{{val| 1 0 7 -16 }}, {{val| 0 1 -3 12}}];
pontiac, infraschismic [&lt;1, 2, -1, 19], &lt;0, -1, 8, -39]&gt;
* [[meantone]] [{{val| 1 0 -4 }}, {{val| 0 1 4}}];
superpyth [&lt;1, 2, 6, 2], &lt;0, -1, -9, 2]&gt;
** [[dominant (temperament)|dominant]] [{{val| 1 0 -4 6 }}, {{val| 0 1 4 -2}}];
quasisuper [&lt;1, 2, -3, 2], &lt;0, -1, 13, 2]&gt;
*** arnold [{{val| 1 0 -4 6 5 }}, {{val| 0 1 4 -2 -1}}];
leapday [&lt;1, 2, 11, 9], &lt;0, -1, -21, -15]&gt;
*** dominant [{{val| 1 0 -4 6 13 }}, {{val| 0 1 4 -2 -6}}];
kwai [&lt;1, 2, 16, 14], &lt;0, -1, -33, -27]&gt;
*** domineering [{{val| 1 0 -4 6 -6 }}, {{val| 0 1 4 -2 6}}];
undecental [&lt;1, 2, -13, -15], &lt;0, -1, 37, 43]&gt;
** [[sharptone]] [{{val| 1 0 -4 -2 }}, {{val| 0 1 4 3}}];
dicot [&lt;1, 1, 2, 2], &lt;0, 2, 1, 3]&gt;
*** meanertone [{{val| 1 0 -4 -2 5 }}, {{val| 0 1 4 3 -1}}];
sharp [&lt;1, 1, 2, 1], &lt;0, 2, 1, 6]&gt;
** [[flattone]] [{{val| 1 0 -4 17 }}, {{val| 0 1 4 -9}}];
semififths, mohajira [&lt;1, 1, 0, 6], &lt;0, 2, 8, -11]&gt;
*** flattone [{{val| 1 0 -4 17 -6 }}, {{val| 0 1 4 -9 6}}];
beatles [&lt;1, 1, 5, 4], &lt;0, 2, -9, -4]&gt;
** meantone [{{val| 1 0 -4 -13 }}, {{val| 0 1 4 10}}];
hemififths [&lt;1, 1, -5, -1], &lt;0, 2, 25, 13]&gt;
*** meanenneadecal [{{val| 1 0 -4 -13 -6 }}, {{val| 0 1 4 10 6}}];
beep [&lt;1, 2, 3, 3], &lt;0, -2, -3, -1]&gt;
*** meanpop [{{val| 1 0 -4 -13 24 }}, {{val| 0 1 4 10 -13}}];
superpelog [&lt;1, 2, 1, 3], &lt;0, -2, 6, -1]&gt;
*** meantone [{{val| 1 0 -4 -13 -25 }}, {{val| 0 1 4 10 18}}];
semaphore, godzilla [&lt;1, 2, 4, 3], &lt;0, -2, -8, -1]&gt;
* [[avila]] [{{val| 1 0 -7 }}, {{val| 0 1 6}}];
gidorah [&lt;1, 1, 2, 3], &lt;0, 3, 2, -1]&gt;
* [[helmholtz (temperament)|helmholtz]] [{{val| 1 0 15 }}, {{val| 0 1 -8}}];
penta [&lt;1, 1, 2, 2], &lt;0, 3, 2, 4]&gt;
** schism [{{val| 1 0 15 6 }}, {{val| 0 1 -8 -2}}];
gorgo [&lt;1, 1, 1, 3], &lt;0, 3, 7, -1]&gt;
** garibaldi [{{val| 1 0 15 25 }}, {{val| 0 1 -8 -14}}];
cynder, mothra [&lt;1, 1, 0, 3], &lt;0, 3, 12, -1]&gt;
*** cassandra [{{val| 1 0 15 25 -33 }}, {{val| 0 1 -8 -14 23}}];
rodan [&lt;1, 1, -1, 3], &lt;0, 3, 17, -1]&gt;
**** cassandra [{{val| 1 0 15 25 -33 -28 }}, {{val| 0 1 -8 -14 23 20}}];
guiron [&lt;1, 1, 7, 3], &lt;0, 3, -24, -1]&gt;
*** andromeda [{{val| 1 0 15 25 32 }}, {{val| 0 1 -8 -14 -18}}];
hystrix [&lt;1, 2, 3, 3], &lt;0, -3, -5, -1]&gt;
**** andromeda [{{val| 1 0 15 25 32 37 }}, {{val| 0 1 -8 -14 -18 -21}}];
porcupine [&lt;1, 2, 3, 2], &lt;0, -3, -5, 6]&gt;
** grackle [{{val| 1 0 15 44 }}, {{val| 0 1 -8 -26}}];
opossum, pentadecimal [&lt;1, 2, 3, 4], &lt;0, -3, -5, -9]&gt;
** [[pontiac]], infraschismic [{{val| 1 0 15 -59 }}, {{val| 0 1 -8 39}}];
triton [&lt;1, 3, -1, -1], &lt;0, -3, 7, 8]&gt;
* [[superpyth]] [{{val| 1 0 -12 }}, {{val| 0 1 9}}];
liese, gawel [&lt;1, 3, 8, 8], &lt;0, -3, -12, -11]&gt;
** superpyth [{{val| 1 0 -12 6 }}, {{val| 0 1 9 -2}}];
vulture, buzzard [&lt;1, 0, -6, 4], &lt;0, 4, 21, -3]&gt;
*** superpyth [{{val| 1 0 -12 6 -22 }}, {{val| 0 1 9 -2 16}}];
sesquiquartififths [&lt;1, 1, 7, 5], &lt;0, 4, -32, -15]&gt;
*** suprapyth [{{val| 1 0 -12 6 13 }}, {{val| 0 1 9 -2 -6}}];
sidi [&lt;1, 3, 3, 6], &lt;0, -4, -2, -9]&gt;
* [[quasisuper]] [{{val| 1 0 23 6 }}, {{val| 0 1 -13 -2}}];
negri [&lt;1, 2, 2, 3], &lt;0, -4, 3, -2]&gt;
* [[leapday]] [{{val| 1 0 -31 -21 -14 -9 }}, {{val| 0 1 21 15 11 8}}];
sentinel [&lt;1, 3, -3, 6], &lt;0, -4, 15, -9]&gt;
* [[kwai]] [{{val| 1 0 -50 -40 }}, {{val| 0 1 33 27}}];
squares [&lt;1, 3, 8, 6], &lt;0, -4, -16, -9]&gt;
** kwai [{{val| 1 0 -50 -40 32 }}, {{val| 0 1 33 27 -18}}];
muggles [&lt;1, 0, 2, 5], &lt;0, 5, 1, -7]&gt;
* [[undecental]] [{{val| 1 0 61 71 }}, {{val| 0 1 -37 -43}}];
magic [&lt;1, 0, 2, -1], &lt;0, 5, 1, 12]&gt;
* [[counterschismic]] [{{val| 1 0 -69 }}, {{val| 0 1 45}}];
passion [&lt;1, 2, 2, 2], &lt;0, -5, 4, 10]&gt;
* [[dicot]] [{{val| 1 1 2 }}, {{val| 0 2 1}}];
ripple [&lt;1, 2, 3, 3], &lt;0, -5, -8, -2]&gt;
** [[mujannabic]] [{{val| 1 1 2 2 }}, {{val| 0 2 1 3}}];
tritonic [&lt;1, 4, -3, -3], &lt;0, -5, 11, 12]&gt;
** [[sharpie]] [{{val| 1 1 2 1 }}, {{val| 0 2 1 6}}];
amity [&lt;1, 3, 6, -2], &lt;0, -5, -13, 17]&gt;
* [[mohajira]], semififths [{{val| 1 1 0 6 }}, {{val| 0 2 8 -11}}];
keemun [&lt;1, 0, 1, 2], &lt;0, 6, 5, 3]&gt;
** mohajira [{{val| 1 1 0 6 2 }}, {{val| 0 2 8 -11 5}}];
catakleismic [&lt;1, 0, 1, -3], &lt;0, 6, 5, 22]&gt;
** [[neutrominant]] [{{val| 1 1 0 4 2 }}, {{val| 0 2 8 -4 5}}];
countercata [&lt;1, 0, 1, 11], &lt;0, 6, 5, -31]&gt;
*** neutrominant [{{val| 1 1 0 4 2 4 }}, {{val| 0 2 8 -4 5 -1}}];
miracle [&lt;1, 1, 3, 3], &lt;0, 6, -7, -2]&gt;
* [[beatles]] [{{val| 1 1 5 4 }}, {{val| 0 2 -9 -4}}];
marvo [&lt;1, -1, -5, -17], &lt;0, 6, 17, 46]&gt;
* [[karadeniz]] [{{val| 1 1 7 11 2 }}, {{val| 0 2 -16 -28 5}}];
nautilus [&lt;1, 2, 3, 3], &lt;0, -6, -10, -3]&gt;
* [[hemififths]] [{{val| 1 1 -5 -1 }}, {{val| 0 2 25 13}}];
orwell [&lt;1, 0, 3, 1], &lt;0, 7, -3, 8]&gt;
* [[bug]] [{{val| 1 0 0 }}, {{val| 0 2 3}}];
sensi [&lt;1, -1, -1, -2], &lt;0, 7, 9, 13]&gt;
** [[beep]] [{{val| 1 0 0 2 }}, {{val| 0 2 3 1}}];
roman [&lt;1, 4, 3, -1], &lt;0, -7, -2, 11]&gt;
*** pentoid [{{val| 1 0 0 2 5 }}, {{val| 0 2 3 1 -2}}];
octacot [&lt;1, 1, 1, 2], &lt;0, 8, 18, 11]&gt;
* [[superpelog]] [{{val| 1 0 7 2 }}, {{val| 0 2 -6 1}}];
valentine [&lt;1, 1, 2, 3], &lt;0, 9, 5, -3]&gt;
* [[godzilla]] [{{val| 1 0 -4 2 }}, {{val| 0 2 8 1}}];
escapade [&lt;1, 2, 2, 3], &lt;0, -9, 7, -4]&gt;
* [[monzismic]] [{{val| 1 0 -27 }}, {{val| 0 2 37}}];
superkleismic [&lt;1, 4, 5, 2], &lt;0, -9, -10, 3]&gt;
* [[gidorah]] [{{val| 1 1 2 3 }}, {{val| 0 3 2 -1}}];
myna [&lt;1, -1, 0, 1], &lt;0, 10, 9, 7]&gt;
* [[enipucrop]] [{{val| 1 2 2 }}, {{val| 0 3 -2}}];
sycamore [&lt;1, 1, 2, 2], &lt;0, 11, 6, 15]&gt;
* [[penta]] [{{val| 1 1 2 2 }}, {{val| 0 3 2 4}}];
septimin [&lt;1, 4, 1, 5], &lt;0, -11, 6, -10]&gt;
* [[laconic]] [{{val| 1 1 1 }}, {{val| 0 3 7}}];
nusecond [&lt;1, 3, 4, 5], &lt;0, -11, -13, -17]&gt;
** [[gorgo]] [{{val| 1 1 1 3 }}, {{val| 0 3 7 -1}}];
quartonic [&lt;1, 2, 3, 3], &lt;0, -11, -18, -5]&gt;
*** gorgo [{{val| 1 1 1 3 1 }}, {{val| 0 3 7 -1 13}}];
hemikleismic [&lt;1, 0, 1, 4], &lt;0, 12, 10, -9]&gt;
**** gorgo [{{val| 1 1 1 3 1 2 }}, {{val| 0 3 7 -1 13 9}}];
clyde [&lt;1, 6, 6, 12], &lt;0, -12, -10, -25]&gt;
*** spartan [{{val| 1 1 1 3 5 }}, {{val| 0 3 7 -1 -8}}];
bohpier [&lt;1, 0, 0, 0], &lt;0, 13, 19, 23]&gt;
* [[pycnic]] [{{val| 1 0 6 -3 }}, {{val| 0 3 -7 11}}];
slender [&lt;1, 2, 2, 3], &lt;0, -13, 10, -6]&gt;
* [[mothra]], cynder [{{val| 1 1 0 3 }}, {{val| 0 3 12 -1}}];
parakleismic [&lt;1, 5, 6, 12], &lt;0, -13, -14, -35]&gt;
** mothra, cynder [{{val| 1 1 0 3 5 }}, {{val| 0 3 12 -1 -8}}];
luna [&lt;1, 4, 2, 2], &lt;0, -15, 2, 5]&gt;
* [[rodan]] [{{val| 1 1 -1 3 }}, {{val| 0 3 17 -1}}];
hemiwürschmidt [&lt;1, -1, 2, 2], &lt;0, 16, 2, 5]&gt;
** rodan [{{val| 1 1 -1 3 6 }}, {{val| 0 3 17 -1 -13}}];
semisept [&lt;1, -5, 0, -3], &lt;0, 17, 6, 15]&gt;
*** rodan [{{val| 1 1 -1 3 6 8 }}, {{val| 0 3 17 -1 -13 -22}}];
mitonic [&lt;1, -1, -3, 6], &lt;0, 17, 35, -21]&gt;
*** aerodactyl [{{val| 1 1 -1 3 6 -1 }}, {{val| 0 3 17 -1 -13 24}}];
casablanca [&lt;1, -7, -4, 1], &lt;0, 19, 14, 4]&gt;
* [[guiron]] [{{val| 1 1 7 3 }}, {{val| 0 3 -24 -1}}];
tertiaseptal [&lt;1, 3, 2, 3], &lt;0, -22, 5, -3]&gt;
* [[porcupine]] [{{val| 1 2 3 }}, {{val| 0 3 5}}];
grendel, voodoo [&lt;1, 9, 2, 7], &lt;0, -23, 1, -13]&gt;
** [[hystrix]] [{{val| 1 2 3 3 }}, {{val| 0 3 5 1}}];
gamera [&lt;1, 6, 10, 3], &lt;0, -23, -40, -1]&gt;
** porcupine [{{val| 1 2 3 2 }}, {{val| 0 3 5 -6}}];
supermajor [&lt;1, 15, 19, 30], &lt;0, -37, -46, -75]&gt;
*** porcupine [{{val| 1 2 3 2 4 }}, {{val| 0 3 5 -6 4}}];
quasiorwell [&lt;1, -7, 3, 1], &lt;0, 38, -3, 8]&gt;
** [[opossum]], pentadecimal [{{val| 1 2 3 4 }}, {{val| 0 3 5 9}}];
neptune [&lt;1, 21, 13, 13], &lt;0, -40, -22, -21]&gt;
*** opossum [{{val| 1 2 3 4 4 }}, {{val| 0 3 5 9 4}}];
=Two periods per octave=
*** coendou [{{val| 1 2 3 1 4 3 }}, {{val| 0 3 5 -13 4 -5}}];
pajara [&lt;2, 3, 5, 6], &lt;0, 1, -2, -2]&gt;
*** porcupinefish [{{val| 1 2 3 2 4 6 }}, {{val| 0 3 5 -6 4 17}}];
keen [&lt;2, 3, 5, 4], &lt;0, 1, -2, 9]&gt;
* [[ammonite]] [{{val| 1 5 8 10 }}, {{val| 0 9 15 19}}];
octokaidecal [&lt;2, 3, 4, 5], &lt;0, 1, 3, 3]&gt;
* [[triton]] [{{val| 1 0 6 7 }}, {{val| 0 3 -7 -8}}];
bipelog [&lt;2, 3, 5, 6], &lt;0, 1, -3, -3]&gt;
* [[liese]], gawel [{{val| 1 0 -4 -3 }}, {{val| 0 3 12 11}}];
injera [&lt;2, 3, 4, 5], &lt;0, 1, 4, 4]&gt;
* [[alphatricot]] [{{val| 1 0 -13 }}, {{val| 0 3 29}}];
bischismic [&lt;2, 3, 6, 9], &lt;0, 1, -8, -20]&gt;
* [[tetracot]] [{{val| 1 1 1 }}, {{val| 0 4 9}}];
shrutar [&lt;2, 3, 5, 5], &lt;0, 2, -4, 7]&gt;
** [[monkey]] [{{val| 1 1 1 5 }}, {{val| 0 4 9 -15}}];
decimal [&lt;2, 4, 5, 6], &lt;0, -2, -1, -1]&gt;
** [[bunya]] [{{val| 1 1 1 -1 }}, {{val| 0 4 9 26}}];
semifourths-hemififths [&lt;2, 4, 15, 11], &lt;0, -2, -25, -13]&gt;
* [[vulture]] [{{val| 1 0 -6 }}, {{val| 0 4 21}}];
lemba [&lt;2, 2, 5, 6], &lt;0, 3, -1, -1]&gt;
** [[buzzard]] [{{val| 1 0 -6 4 }}, {{val| 0 4 21 -3}}];
hedgehog [&lt;2, 4, 6, 7], &lt;0, -3, -5, -5]&gt;
*** buzzard [{{val| 1 0 -6 4 -12 -7 }}, {{val| 0 4 21 -3 39 27}}];
doublewide [&lt;2, 5, 6, 7], &lt;0, -4, -3, -3]&gt;
* [[sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15}}];
sesquiquartififths [&lt;2, 2, 14, 10], &lt;0, 4, -32, -15]&gt;
* semihemififths [{{val| 1 1 -5 -1 8 }}, {{val| 0 4 50 26 -31}}];
hemiamity [&lt;2, 1, -1, 13], &lt;0, 5, 13, -17]&gt;
* [[sidi]] [{{val| 1 3 3 6 }}, {{val| 0 4 2 9}}];
wizard [&lt;2, 1, 5, 2], &lt;0, 6, -1, 10]&gt;
* [[negri]] [{{val| 1 2 2 }}, {{val| 0 4 -3}}];
unidec [&lt;2, 5, 8, 5], &lt;0, -6, -11, 2]&gt;
** negri [{{val| 1 2 2 3 }}, {{val| 0 4 -3 2}}];
harry [&lt;2, 4, 7, 7], &lt;0, -6, -17, -10]&gt;
*** negri [{{val| 1 2 2 3 4 }}, {{val| 0 4 -3 2 5}}];
vishnu [&lt;2, 4, 5, 10], &lt;0, -7, -3, -37]&gt;
**** negri [{{val| 1 2 2 3 4 4 }}, {{val| 0 4 -3 2 5 3}}];
bisupermajor [&lt;2, 1, 6, 1], &lt;0, 8, -5, 17]&gt;
*** negril [{{val| 1 2 2 3 2 }}, {{val| 0 4 -3 2 -14}}];
semiparakleismic [&lt;2, -3, -2, -11], &lt;0, 13, 14, 35]&gt;
**** negril [{{val| 1 2 2 3 2 4 }}, {{val| 0 4 -3 2 -14 3}}];
hemigamera [&lt;2, 12, 20, 6], &lt;0, -23, -40, -1]&gt;
* [[sentinel]] [{{val| 1 3 -3 6 }}, {{val| 0 4 -15 9}}];
=Three periods per octave=
* [[squares]] [{{val| 1 3 8 6 }}, {{val| 0 4 16 9}}];
augene, tripletone [&lt;3, 5, 7, 8], &lt;0, -1, 0, 2]&gt;
* [[magic]] [{{val| 1 0 2 }}, {{val| 0 5 1}}];
august [&lt;3, 5, 7, 9], &lt;0, -1, 0, -2]&gt;
** [[muggles]] [{{val| 1 0 2 5 }}, {{val| 0 5 1 -7}}];
misty [&lt;3, 5, 6, 6], &lt;0, -1, 4, 10]&gt;
** magic [{{val| 1 0 2 -1 }}, {{val| 0 5 1 12}}];
term [&lt;3, 5, 5, 4], &lt;0, -1, 8, 18]&gt;
*** magic [{{val| 1 0 2 -1 6 }}, {{val| 0 5 1 12 -8}}];
semiaug [&lt;3, 5, 7, 9], &lt;0, -2, 0, -5]&gt;
* [[passion]] [{{val| 1 2 2 }}, {{val| 0 5 -4}}];
tritikleismic [&lt;3, 6, 8, 8], &lt;0, -6, -5, 2]&gt;
** passion [{{val| 1 2 2 2 }}, {{val| 0 5 -4 -10}}];
mutt [&lt;3, 5, 7, 8], &lt;0, -7, -1, 12]&gt;
* [[ripple]] [{{val| 1 2 3 }}, {{val| 0 5 8}}];
=Four or more periods per octave=
** ripple [{{val| 1 2 3 3 }}, {{val| 0 5 8 2}}];
diminished [&lt;4, 6, 9, 11], &lt;0, 1, 1, 1]&gt;
* [[tritonic]] [{{val| 1 4 -3 -3 }}, {{val| 0 5 -11 -12}}];
blacksmith [&lt;5, 8, 12, 14], &lt;0, 0, -1, 0]&gt;
** tritonic [{{val| 1 4 -3 -3 2 }}, {{val| 0 5 -11 -12 -3}}];
hexe [&lt;6, 10, 14, 17], &lt;0, -1, 0, 0]&gt;
* [[amity]] [{{val| 1 3 6 }}, {{val| 0 5 13}}];
jamesbond, heptadecal [&lt;7, 11, 16, 20], &lt;0, 0, 0, -1]&gt;
** amity [{{val| 1 3 6 -2 }}, {{val| 0 5 13 -17}}];
ennealimmal [&lt;9, 15, 22, 26], &lt;0, -2, -3, -2]&gt;
*** hitchcock, amity [{{val| 1 3 6 -2 6 }}, {{val| 0 5 13 -17 9}}];
hendecatonic [&lt;11, 17, 26, 30], &lt;0, 1, -1, 2]&gt;
**** hitchcock [{{val| 1 3 6 -2 6 2 }}, {{val| 0 5 13 -17 9 -6}}];
catler [&lt;12, 19, 28, 34], &lt;0, 0, 0, -1]&gt;
* [[gravity]] [{{val| 1 5 12 }}, {{val| 0 6 17}}];
compton, waage [&lt;12, 19, 28, 34], &lt;0, 0, -1, -2]&gt;
** [[marvo]] [{{val| 1 5 12 29 }}, {{val| 0 6 17 46}}];
enneadecal [&lt;19, 30, 44, 53], &lt;0, 1, 1, 3]&gt;
* [[hanson]] [{{val| 1 0 1 }}, {{val| 0 6 5}}];
icosidillic [&lt;22, 35, 51, 62], &lt;0, -1, 1, -2]&gt;
** [[keemun]] [{{val| 1 0 1 2 }}, {{val| 0 6 5 3}}];
hemienneadecal [&lt;38, 60, 88, 106], &lt;0, 1, 1, 3]&gt;</pre></div>
*** keemun [{{val| 1 0 1 2 4 }}, {{val| 0 6 5 3 -2}}];
<h4>Original HTML content:</h4>
** [[catakleismic]] [{{val| 1 0 1 -3 }}, {{val| 0 6 5 22}}];
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Proposed names for rank 2 temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Here is a list of some names that have been proposed for rank 2 &lt;a class="wiki_link" href="/temperament"&gt;temperament&lt;/a&gt;s. The name or names of the temperament is followed by the generator mapping, which represents the number of periods and &lt;a class="wiki_link" href="/generator"&gt;generator&lt;/a&gt;s of the temperament for each of the &lt;a class="wiki_link" href="/prime%20interval"&gt;prime interval&lt;/a&gt;s (1:2, 1:3, 1:5, etc.)&lt;br /&gt;
*** catakleismic [{{val| 1 0 1 -3 9 }}, {{val| 0 6 5 22 -21}}];
&lt;br /&gt;
**** catakleismic [{{val| 1 0 1 -3 9 0 }}, {{val| 0 6 5 22 -21 14}}];
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="One period per octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;One period per octave&lt;/h1&gt;
** [[countercata]] [{{val| 1 0 1 11 }}, {{val| 0 6 5 -31}}];
mother [&amp;lt;1, 2, 2, 2], &amp;lt;0, -1, 1, 2]&amp;gt;&lt;br /&gt;
* [[ampersand]] [{{val| 1 1 3 }}, {{val| 0 6 -7}}];
father [&amp;lt;1, 2, 2, 4], &amp;lt;0, -1, 1, -3]&amp;gt;&lt;br /&gt;
** [[miracle]] [{{val| 1 1 3 3 }}, {{val| 0 6 -7 -2}}];
mavila [&amp;lt;1, 2, 1, 1], &amp;lt;0, -1, 3, 4]&amp;gt;&lt;br /&gt;
*** miracle [{{val| 1 1 3 3 2 }}, {{val| 0 6 -7 -2 15}}];
hexadecimal, pelogic [&amp;lt;1, 2, 1, 5], &amp;lt;0, -1, 3, -5]&amp;gt;&lt;br /&gt;
* [[nautilus]] [{{val| 1 2 3 3 }}, {{val| 0 6 10 3}}];
dominant [&amp;lt;1, 2, 4, 2], &amp;lt;0, -1, -4, 2]&amp;gt;&lt;br /&gt;
* [[orson]] [{{val| 1 0 3 }}, {{val| 0 7 -3}}];
sharptone [&amp;lt;1, 2, 4, 4], &amp;lt;0, -1, -4, -3]&amp;gt;&lt;br /&gt;
** [[orwell]] [{{val| 1 0 3 1 }}, {{val| 0 7 -3 8}}];
flattone [&amp;lt;1, 2, 4, -1], &amp;lt;0, -1, -4, 9]&amp;gt;&lt;br /&gt;
*** orwell [{{val| 1 0 3 1 3 }}, {{val| 0 7 -3 8 2}}];
meantone [&amp;lt;1, 2, 4, 7], &amp;lt;0, -1, -4, -10]&amp;gt;&lt;br /&gt;
**** orwell [{{val| 1 0 3 1 3 8 }}, {{val| 0 7 -3 8 2 -19}}];
schism [&amp;lt;1, 2, -1, 2], &amp;lt;0, -1, 8, 2]&amp;gt;&lt;br /&gt;
**** blair [{{val| 1 0 3 1 3 3 }}, {{val| 0 7 -3 8 2 3}}];
garibaldi [&amp;lt;1, 2, -1, -3], &amp;lt;0, -1, 8, 14]&amp;gt;&lt;br /&gt;
**** winston [{{val| 1 0 3 1 3 1 }}, {{val| 0 7 -3 8 2 12}}];
pontiac, infraschismic [&amp;lt;1, 2, -1, 19], &amp;lt;0, -1, 8, -39]&amp;gt;&lt;br /&gt;
* [[sensi]] [{{val| 1 6 8 }}, {{val| 0 7 9}}];
superpyth [&amp;lt;1, 2, 6, 2], &amp;lt;0, -1, -9, 2]&amp;gt;&lt;br /&gt;
** sensi [{{val| 1 6 8 11 }}, {{val| 0 7 9 13}}];
quasisuper [&amp;lt;1, 2, -3, 2], &amp;lt;0, -1, 13, 2]&amp;gt;&lt;br /&gt;
*** [[sensor]] [{{val| 1 6 8 11 -6 }}, {{val| 0 7 9 13 -15}}];
leapday [&amp;lt;1, 2, 11, 9], &amp;lt;0, -1, -21, -15]&amp;gt;&lt;br /&gt;
**** sensor [{{val| 1 6 8 11 -6 10 }}, {{val| 0 7 9 13 -15 10}}];
kwai [&amp;lt;1, 2, 16, 14], &amp;lt;0, -1, -33, -27]&amp;gt;&lt;br /&gt;
*** [[sensis]] [{{val| 1 6 8 11 6 }}, {{val| 0 7 9 13 4}}];
undecental [&amp;lt;1, 2, -13, -15], &amp;lt;0, -1, 37, 43]&amp;gt;&lt;br /&gt;
**** sensis [{{val| 1 6 8 11 6 10 }}, {{val| 0 7 9 13 4 10}}];
dicot [&amp;lt;1, 1, 2, 2], &amp;lt;0, 2, 1, 3]&amp;gt;&lt;br /&gt;
*** [[sensus]] [{{val| 1 6 8 11 23 }}, {{val| 0 7 9 13 31}}];
sharp [&amp;lt;1, 1, 2, 1], &amp;lt;0, 2, 1, 6]&amp;gt;&lt;br /&gt;
**** sensus [{{val| 1 6 8 11 23 10 }}, {{val| 0 7 9 13 31 10}}];
semififths, mohajira [&amp;lt;1, 1, 0, 6], &amp;lt;0, 2, 8, -11]&amp;gt;&lt;br /&gt;
* [[roman]] [{{val| 1 4 3 -1 0 3 }}, {{val| 0 7 2 -11 -10 -2}}];
beatles [&amp;lt;1, 1, 5, 4], &amp;lt;0, 2, -9, -4]&amp;gt;&lt;br /&gt;
* [[octacot]] [{{val| 1 1 1 2 }}, {{val| 0 8 18 11}}];
hemififths [&amp;lt;1, 1, -5, -1], &amp;lt;0, 2, 25, 13]&amp;gt;&lt;br /&gt;
* [[würschmidt]] [{{val| 1 7 3 }}, {{val| 0 8 1}}];
beep [&amp;lt;1, 2, 3, 3], &amp;lt;0, -2, -3, -1]&amp;gt;&lt;br /&gt;
** [[worschmidt]] [{{val| 1 7 3 -6 }}, {{val| 0 8 1 -13}}];
superpelog [&amp;lt;1, 2, 1, 3], &amp;lt;0, -2, 6, -1]&amp;gt;&lt;br /&gt;
** [[wurschmidt]] [{{val| 1 7 3 15 }}, {{val| 0 8 1 18}}];
semaphore, godzilla [&amp;lt;1, 2, 4, 3], &amp;lt;0, -2, -8, -1]&amp;gt;&lt;br /&gt;
** [[whirrschmidt]] [{{val| 1 7 3 38 }}, {{val| 0 8 1 52}}];
gidorah [&amp;lt;1, 1, 2, 3], &amp;lt;0, 3, 2, -1]&amp;gt;&lt;br /&gt;
* [[valentine]] [{{val| 1 1 2 }}, {{val| 0 9 5}}];
penta [&amp;lt;1, 1, 2, 2], &amp;lt;0, 3, 2, 4]&amp;gt;&lt;br /&gt;
** valentine [{{val| 1 1 2 3 }}, {{val| 0 9 5 -3}}];
gorgo [&amp;lt;1, 1, 1, 3], &amp;lt;0, 3, 7, -1]&amp;gt;&lt;br /&gt;
*** valentine [{{val| 1 1 2 3 3 }}, {{val| 0 9 5 -3 7}}];
cynder, mothra [&amp;lt;1, 1, 0, 3], &amp;lt;0, 3, 12, -1]&amp;gt;&lt;br /&gt;
**** valentino [{{val| 1 1 2 3 3 5 }}, {{val| 0 9 5 -3 7 -20}}];
rodan [&amp;lt;1, 1, -1, 3], &amp;lt;0, 3, 17, -1]&amp;gt;&lt;br /&gt;
**** dwynwen [{{val| 1 1 2 3 3 2 }}, {{val| 0 9 5 -3 7 26}}];
guiron [&amp;lt;1, 1, 7, 3], &amp;lt;0, 3, -24, -1]&amp;gt;&lt;br /&gt;
**** lupercalia [{{val| 1 1 2 3 3 3 }}, {{val| 0 9 5 -3 7 11}}];
hystrix [&amp;lt;1, 2, 3, 3], &amp;lt;0, -3, -5, -1]&amp;gt;&lt;br /&gt;
* [[escapade]] [{{val| 1 2 2 }}, {{val| 0 9 -7}}];
porcupine [&amp;lt;1, 2, 3, 2], &amp;lt;0, -3, -5, 6]&amp;gt;&lt;br /&gt;
** escapade [{{val| 1 2 2 3 }}, {{val| 0 9 -7 4}}];
opossum, pentadecimal [&amp;lt;1, 2, 3, 4], &amp;lt;0, -3, -5, -9]&amp;gt;&lt;br /&gt;
** [[escaped]] [{{val| 1 2 2 4 }}, {{val| 0 9 -7 26}}];
triton [&amp;lt;1, 3, -1, -1], &amp;lt;0, -3, 7, 8]&amp;gt;&lt;br /&gt;
* [[superkleismic]] [{{val| 1 4 5 2 }}, {{val| 0 9 10 -3}}];
liese, gawel [&amp;lt;1, 3, 8, 8], &amp;lt;0, -3, -12, -11]&amp;gt;&lt;br /&gt;
** superkleismic [{{val| 1 4 5 2 4 }}, {{val| 0 9 10 -3 2}}];
vulture, buzzard [&amp;lt;1, 0, -6, 4], &amp;lt;0, 4, 21, -3]&amp;gt;&lt;br /&gt;
* [[mabila]] [{{val| 1 6 1 }}, {{val| 0 10 -3}}];
sesquiquartififths [&amp;lt;1, 1, 7, 5], &amp;lt;0, 4, -32, -15]&amp;gt;&lt;br /&gt;
* [[myna]] [{{val| 1 9 9 8 }}, {{val| 0 10 9 7}}];
sidi [&amp;lt;1, 3, 3, 6], &amp;lt;0, -4, -2, -9]&amp;gt;&lt;br /&gt;
** myna [{{val| 1 9 9 8 22 }}, {{val| 0 10 9 7 25}}];
negri [&amp;lt;1, 2, 2, 3], &amp;lt;0, -4, 3, -2]&amp;gt;&lt;br /&gt;
*** myna [{{val| 1 9 9 8 22 0 }}, {{val| 0 10 9 7 25 -5}}];
sentinel [&amp;lt;1, 3, -3, 6], &amp;lt;0, -4, 15, -9]&amp;gt;&lt;br /&gt;
* [[sycamore]] [{{val| 1 1 2 }}, {{val| 0 11 6}}];
squares [&amp;lt;1, 3, 8, 6], &amp;lt;0, -4, -16, -9]&amp;gt;&lt;br /&gt;
** sycamore [{{val| 1 1 2 2 }}, {{val| 0 11 6 15}}];
muggles [&amp;lt;1, 0, 2, 5], &amp;lt;0, 5, 1, -7]&amp;gt;&lt;br /&gt;
* [[septimin]] [{{val| 1 4 1 5 }}, {{val| 0 11 -6 10}}];
magic [&amp;lt;1, 0, 2, -1], &amp;lt;0, 5, 1, 12]&amp;gt;&lt;br /&gt;
* [[nusecond]] [{{val| 1 3 4 5 }}, {{val| 0 11 13 17}}];
passion [&amp;lt;1, 2, 2, 2], &amp;lt;0, -5, 4, 10]&amp;gt;&lt;br /&gt;
* [[quartonic]] [{{val| 1 2 3 3 }}, {{val| 0 11 18 5}}];
ripple [&amp;lt;1, 2, 3, 3], &amp;lt;0, -5, -8, -2]&amp;gt;&lt;br /&gt;
* [[hemikleismic]] [{{val| 1 0 1 4 }}, {{val| 0 12 10 -9}}];
tritonic [&amp;lt;1, 4, -3, -3], &amp;lt;0, -5, 11, 12]&amp;gt;&lt;br /&gt;
* [[clyde]] [{{val| 1 6 6 12 }}, {{val| 0 12 10 25}}];
amity [&amp;lt;1, 3, 6, -2], &amp;lt;0, -5, -13, 17]&amp;gt;&lt;br /&gt;
* [[bohpier]] [{{val| 1 0 0 0 }}, {{val| 0 13 19 23}}];
keemun [&amp;lt;1, 0, 1, 2], &amp;lt;0, 6, 5, 3]&amp;gt;&lt;br /&gt;
* doublethink [{{val| 1 0 3 1 3 2 }}, {{val| 0 14 -6 16 4 15}}];
catakleismic [&amp;lt;1, 0, 1, -3], &amp;lt;0, 6, 5, 22]&amp;gt;&lt;br /&gt;
* [[gammic]] [{{val| 1 1 2 }}, {{val| 0 20 11}}];
countercata [&amp;lt;1, 0, 1, 11], &amp;lt;0, 6, 5, -31]&amp;gt;&lt;br /&gt;
** gammic [{{val| 1 1 2 0 }}, {{val| 0 20 11 96}}];
miracle [&amp;lt;1, 1, 3, 3], &amp;lt;0, 6, -7, -2]&amp;gt;&lt;br /&gt;
* [[neptune]] [{{val| 1 21 13 13 }}, {{val| 0 40 22 21}}];
marvo [&amp;lt;1, -1, -5, -17], &amp;lt;0, 6, 17, 46]&amp;gt;&lt;br /&gt;
* [[pluto]] [{{val| 1 5 15 15 2 }}, {{val| 0 7 26 25 -3}}];
nautilus [&amp;lt;1, 2, 3, 3], &amp;lt;0, -6, -10, -3]&amp;gt;&lt;br /&gt;
* [[twothirdtonic]] [{{val| 1 3 2 4 4 }}, {{val| 0 13 -3 11 5}}];
orwell [&amp;lt;1, 0, 3, 1], &amp;lt;0, 7, -3, 8]&amp;gt;&lt;br /&gt;
** twothirdtonic [{{val| 1 3 2 4 4 5 }}, {{val| 0 13 -3 11 5 12}}];
sensi [&amp;lt;1, -1, -1, -2], &amp;lt;0, 7, 9, 13]&amp;gt;&lt;br /&gt;
* [[slender]] [{{val| 1 2 2 3 }}, {{val| 0 13 -10 6}}];
roman [&amp;lt;1, 4, 3, -1], &amp;lt;0, -7, -2, 11]&amp;gt;&lt;br /&gt;
** slender [{{val| 1 2 2 3 4 }}, {{val| 0 13 -10 6 17}}];
octacot [&amp;lt;1, 1, 1, 2], &amp;lt;0, 8, 18, 11]&amp;gt;&lt;br /&gt;
* [[parakleismic]] [{{val| 1 5 6 }}, {{val| 0 13 14}}];
valentine [&amp;lt;1, 1, 2, 3], &amp;lt;0, 9, 5, -3]&amp;gt;&lt;br /&gt;
** parakleismic [{{val| 1 5 6 12 }}, {{val| 0 13 14 35}}];
escapade [&amp;lt;1, 2, 2, 3], &amp;lt;0, -9, 7, -4]&amp;gt;&lt;br /&gt;
* [[fortune]] [{{val| 1 13 -36 }}, {{val| 0 14 -47}}];
superkleismic [&amp;lt;1, 4, 5, 2], &amp;lt;0, -9, -10, 3]&amp;gt;&lt;br /&gt;
* [[hemithirds]], [[luna]] [{{val| 1 4 2 }}, {{val| 0 15 -2}}];
myna [&amp;lt;1, -1, 0, 1], &amp;lt;0, 10, 9, 7]&amp;gt;&lt;br /&gt;
** hemithirds [{{val| 1 4 2 2 }}, {{val| 0 15 -2 -5}}];
sycamore [&amp;lt;1, 1, 2, 2], &amp;lt;0, 11, 6, 15]&amp;gt;&lt;br /&gt;
*** hemithirds [{{val| 1 4 2 2 7 }}, {{val| 0 15 -2 -5 22}}];
septimin [&amp;lt;1, 4, 1, 5], &amp;lt;0, -11, 6, -10]&amp;gt;&lt;br /&gt;
* [[hemiwürschmidt]] [{{val| 1 15 4 7 }}, {{val| 0 16 2 5}}];
nusecond [&amp;lt;1, 3, 4, 5], &amp;lt;0, -11, -13, -17]&amp;gt;&lt;br /&gt;
** hemiwürschmidt [{{val| 1 15 4 7 37 }}, {{val| 0 16 2 5 40}}];
quartonic [&amp;lt;1, 2, 3, 3], &amp;lt;0, -11, -18, -5]&amp;gt;&lt;br /&gt;
* [[semisept]] [{{val| 1 12 6 12 }}, {{val| 0 17 6 15}}];
hemikleismic [&amp;lt;1, 0, 1, 4], &amp;lt;0, 12, 10, -9]&amp;gt;&lt;br /&gt;
* [[vavoom]] [{{val| 1 0 4 }}, {{val| 0 17 -18}}];
clyde [&amp;lt;1, 6, 6, 12], &amp;lt;0, -12, -10, -25]&amp;gt;&lt;br /&gt;
* [[minortone]] [{{val| 1 16 32 }}, {{val| 0 17 35}}];
bohpier [&amp;lt;1, 0, 0, 0], &amp;lt;0, 13, 19, 23]&amp;gt;&lt;br /&gt;
** [[mitonic]] [{{val| 1 16 32 -15 }}, {{val| 0 17 35 -21}}];
slender [&amp;lt;1, 2, 2, 3], &amp;lt;0, -13, 10, -6]&amp;gt;&lt;br /&gt;
* [[casablanca]] [{{val| 1 12 10 5 }}, {{val| 0 19 14 4}}];
parakleismic [&amp;lt;1, 5, 6, 12], &amp;lt;0, -13, -14, -35]&amp;gt;&lt;br /&gt;
** casablanca [{{val| 1 12 10 5 4 }}, {{val| 0 19 14 4 1}}];
luna [&amp;lt;1, 4, 2, 2], &amp;lt;0, -15, 2, 5]&amp;gt;&lt;br /&gt;
* [[tertiaseptal]] [{{val| 1 3 2 3 }}, {{val| 0 22 -5 3}}];
hemiwürschmidt [&amp;lt;1, -1, 2, 2], &amp;lt;0, 16, 2, 5]&amp;gt;&lt;br /&gt;
* [[grendel]], voodoo [{{val| 1 9 2 7 }}, {{val| 0 23 -1 13}}];
semisept [&amp;lt;1, -5, 0, -3], &amp;lt;0, 17, 6, 15]&amp;gt;&lt;br /&gt;
* [[gamera]] [{{val| 1 6 10 3 }}, {{val| 0 23 40 1}}];
mitonic [&amp;lt;1, -1, -3, 6], &amp;lt;0, 17, 35, -21]&amp;gt;&lt;br /&gt;
* [[astro]] [{{val| 1 5 1 }}, {{val| 0 31 -12}}];
casablanca [&amp;lt;1, -7, -4, 1], &amp;lt;0, 19, 14, 4]&amp;gt;&lt;br /&gt;
* semihemiwürschmidt [{{val| 1 15 4 7 24 }}, {{val| 0 32 4 10 49}}];
tertiaseptal [&amp;lt;1, 3, 2, 3], &amp;lt;0, -22, 5, -3]&amp;gt;&lt;br /&gt;
* [[whoosh]] [{{val| 1 17 14 }}, {{val| 0 33 25}}];
grendel, voodoo [&amp;lt;1, 9, 2, 7], &amp;lt;0, -23, 1, -13]&amp;gt;&lt;br /&gt;
* [[yarman]] [{{val| 1 2 3 4 4 }}, {{val| 0 33 54 95 43}}];
gamera [&amp;lt;1, 6, 10, 3], &amp;lt;0, -23, -40, -1]&amp;gt;&lt;br /&gt;
* [[senior]] [{{val| 1 11 19 }}, {{val| 0 35 62}}];
supermajor [&amp;lt;1, 15, 19, 30], &amp;lt;0, -37, -46, -75]&amp;gt;&lt;br /&gt;
* [[raider]] [{{val| 1 28 73 }}, {{val| 0 37 99}}];
quasiorwell [&amp;lt;1, -7, 3, 1], &amp;lt;0, 38, -3, 8]&amp;gt;&lt;br /&gt;
* [[supermajor (temperament)|supermajor]] [{{val| 1 15 19 30 }}, {{val| 0 37 46 75}}];
neptune [&amp;lt;1, 21, 13, 13], &amp;lt;0, -40, -22, -21]&amp;gt;&lt;br /&gt;
* [[quasiorwell]] [{{val| 1 31 0 9 }}, {{val| 0 38 -3 8}}];
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Two periods per octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Two periods per octave&lt;/h1&gt;
* semigamera [{{val| 1 6 10 3 12 }}, {{val| 0 46 80 2 89}}];
pajara [&amp;lt;2, 3, 5, 6], &amp;lt;0, 1, -2, -2]&amp;gt;&lt;br /&gt;
* [[gross]] [{{val| 1 45 -18 }}, {{val| 0 47 -22}}];
keen [&amp;lt;2, 3, 5, 4], &amp;lt;0, 1, -2, 9]&amp;gt;&lt;br /&gt;
* [[pirate]] [{{val| 1 43 15 }}, {{val| 0 49 15}}];
octokaidecal [&amp;lt;2, 3, 4, 5], &amp;lt;0, 1, 3, 3]&amp;gt;&lt;br /&gt;
* [[egads]] [{{val| 1 15 16 }}, {{val| 0 51 52}}];
bipelog [&amp;lt;2, 3, 5, 6], &amp;lt;0, 1, -3, -3]&amp;gt;&lt;br /&gt;
 
injera [&amp;lt;2, 3, 4, 5], &amp;lt;0, 1, 4, 4]&amp;gt;&lt;br /&gt;
== Two periods per octave ==
bischismic [&amp;lt;2, 3, 6, 9], &amp;lt;0, 1, -8, -20]&amp;gt;&lt;br /&gt;
* [[srutal]] [{{val| 2 0 11 }}, {{val| 0 1 -2}}];
shrutar [&amp;lt;2, 3, 5, 5], &amp;lt;0, 2, -4, 7]&amp;gt;&lt;br /&gt;
** [[pajara]] [{{val| 2 0 11 12 }}, {{val| 0 1 -2 -2}}];
decimal [&amp;lt;2, 4, 5, 6], &amp;lt;0, -2, -1, -1]&amp;gt;&lt;br /&gt;
*** pajaric [{{val| 2 0 11 12 7 }}, {{val| 0 1 -2 -2 0}}];
semifourths-hemififths [&amp;lt;2, 4, 15, 11], &amp;lt;0, -2, -25, -13]&amp;gt;&lt;br /&gt;
*** pajarous [{{val| 2 0 11 12 -9 }}, {{val| 0 1 -2 -2 5}}];
lemba [&amp;lt;2, 2, 5, 6], &amp;lt;0, 3, -1, -1]&amp;gt;&lt;br /&gt;
*** pajara [{{val| 2 0 11 12 26 }}, {{val| 0 1 -2 -2 -6}}];
hedgehog [&amp;lt;2, 4, 6, 7], &amp;lt;0, -3, -5, -5]&amp;gt;&lt;br /&gt;
** [[diaschismic]] [{{val| 2 0 11 31 }}, {{val| 0 1 -2 -8}}];
doublewide [&amp;lt;2, 5, 6, 7], &amp;lt;0, -4, -3, -3]&amp;gt;&lt;br /&gt;
*** diaschismic [{{val| 2 0 11 31 45 55 }}, {{val| 0 1 -2 -8 -12 -15}}];
sesquiquartififths [&amp;lt;2, 2, 14, 10], &amp;lt;0, 4, -32, -15]&amp;gt;&lt;br /&gt;
** [[keen]] [{{val| 2 0 11 -23 }}, {{val| 0 1 -2 9}}];
hemiamity [&amp;lt;2, 1, -1, 13], &amp;lt;0, 5, 13, -17]&amp;gt;&lt;br /&gt;
* [[supersharp]] [{{val| 2 0 -5 }}, {{val| 0 1 3}}];
wizard [&amp;lt;2, 1, 5, 2], &amp;lt;0, 6, -1, 10]&amp;gt;&lt;br /&gt;
** [[octokaidecal]] [{{val| 2 0 -5 -4 }}, {{val| 0 1 3 3}}];
unidec [&amp;lt;2, 5, 8, 5], &amp;lt;0, -6, -11, 2]&amp;gt;&lt;br /&gt;
* [[bipelog]] [{{val| 2 0 14 15 }}, {{val| 0 1 -3 -3}}];
harry [&amp;lt;2, 4, 7, 7], &amp;lt;0, -6, -17, -10]&amp;gt;&lt;br /&gt;
* [[injera]] [{{val| 2 0 -8 -7 }}, {{val| 0 1 4 4}}];
vishnu [&amp;lt;2, 4, 5, 10], &amp;lt;0, -7, -3, -37]&amp;gt;&lt;br /&gt;
** injera [{{val| 2 0 -8 -7 -12 }}, {{val| 0 1 4 4 6}}];
bisupermajor [&amp;lt;2, 1, 6, 1], &amp;lt;0, 8, -5, 17]&amp;gt;&lt;br /&gt;
* [[bischismic]] [{{val| 2 0 30 69 }}, {{val| 0 1 -8 -20}}];
semiparakleismic [&amp;lt;2, -3, -2, -11], &amp;lt;0, 13, 14, 35]&amp;gt;&lt;br /&gt;
* [[shrutar]] [{{val| 2 1 9 -2 }}, {{val| 0 2 -4 7}}];
hemigamera [&amp;lt;2, 12, 20, 6], &amp;lt;0, -23, -40, -1]&amp;gt;&lt;br /&gt;
** shrutar [{{val| 2 1 9 -2 8 }}, {{val| 0 2 -4 7 -1}}];
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Three periods per octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Three periods per octave&lt;/h1&gt;
*** srutar [{{val| 2 1 9 -2 8 15 }}, {{val| 0 2 -4 7 -1 -7}}];
augene, tripletone [&amp;lt;3, 5, 7, 8], &amp;lt;0, -1, 0, 2]&amp;gt;&lt;br /&gt;
*** shrutar [{{val| 2 1 9 -2 8 -10 }}, {{val| 0 2 -4 7 -1 16}}];
august [&amp;lt;3, 5, 7, 9], &amp;lt;0, -1, 0, -2]&amp;gt;&lt;br /&gt;
* [[echidna]] [{{val| 2 1 9 2 }}, {{val| 0 3 -6 5}}];
misty [&amp;lt;3, 5, 6, 6], &amp;lt;0, -1, 4, 10]&amp;gt;&lt;br /&gt;
** echidna [{{val| 2 1 9 2 12 }}, {{val| 0 3 -6 5 -7}}];
term [&amp;lt;3, 5, 5, 4], &amp;lt;0, -1, 8, 18]&amp;gt;&lt;br /&gt;
* [[decimal]] [{{val| 2 0 3 4 }}, {{val| 0 2 1 1}}];
semiaug [&amp;lt;3, 5, 7, 9], &amp;lt;0, -2, 0, -5]&amp;gt;&lt;br /&gt;
* semihemi [{{val| 2 0 -35 -15 -47 }}, {{val| 0 2 25 13 34}}];
tritikleismic [&amp;lt;3, 6, 8, 8], &amp;lt;0, -6, -5, 2]&amp;gt;&lt;br /&gt;
* [[lemba]] [{{val| 2 2 5 6 }}, {{val| 0 3 -1 -1}}];
mutt [&amp;lt;3, 5, 7, 8], &amp;lt;0, -7, -1, 12]&amp;gt;&lt;br /&gt;
* [[hedgehog]] [{{val| 2 1 1 2 }}, {{val| 0 3 5 5}}];
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Four or more periods per octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Four or more periods per octave&lt;/h1&gt;
* [[doublewide]] [{{val| 2 1 3 }}, {{val| 0 4 3}}];
diminished [&amp;lt;4, 6, 9, 11], &amp;lt;0, 1, 1, 1]&amp;gt;&lt;br /&gt;
** doublewide [{{val| 2 1 3 4 }}, {{val| 0 4 3 3}}];
blacksmith [&amp;lt;5, 8, 12, 14], &amp;lt;0, 0, -1, 0]&amp;gt;&lt;br /&gt;
*** doublewide [{{val| 2 1 3 4 8 }}, {{val| 0 4 3 3 -2}}];
hexe [&amp;lt;6, 10, 14, 17], &amp;lt;0, -1, 0, 0]&amp;gt;&lt;br /&gt;
* [[sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15}}];
jamesbond, heptadecal [&amp;lt;7, 11, 16, 20], &amp;lt;0, 0, 0, -1]&amp;gt;&lt;br /&gt;
* hemiamity [{{val| 2 1 -1 13 13 }}, {{val| 0 5 13 -17 -14}}];
ennealimmal [&amp;lt;9, 15, 22, 26], &amp;lt;0, -2, -3, -2]&amp;gt;&lt;br /&gt;
* [[wizard]] [{{val| 2 1 5 2 }}, {{val| 0 6 -1 10}}];
hendecatonic [&amp;lt;11, 17, 26, 30], &amp;lt;0, 1, -1, 2]&amp;gt;&lt;br /&gt;
** wizard [{{val| 2 1 5 2 8 }}, {{val| 0 6 -1 10 -3}}];
catler [&amp;lt;12, 19, 28, 34], &amp;lt;0, 0, 0, -1]&amp;gt;&lt;br /&gt;
* [[unidec]] [{{val| 2 5 8 5 }}, {{val| 0 6 11 -2}}];
compton, waage [&amp;lt;12, 19, 28, 34], &amp;lt;0, 0, -1, -2]&amp;gt;&lt;br /&gt;
** unidec [{{val| 2 5 8 5 6 }}, {{val| 0 6 11 -2 -3}}];
enneadecal [&amp;lt;19, 30, 44, 53], &amp;lt;0, 1, 1, 3]&amp;gt;&lt;br /&gt;
*** hendec [{{val| 2 5 8 5 6 8 }}, {{val| 0 6 11 -2 -3 2}}];
icosidillic [&amp;lt;22, 35, 51, 62], &amp;lt;0, -1, 1, -2]&amp;gt;&lt;br /&gt;
* [[harry]] [{{val| 2 4 7 7 }}, {{val| 0 6 17 10}}];
hemienneadecal [&amp;lt;38, 60, 88, 106], &amp;lt;0, 1, 1, 3]&amp;gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[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}}];
 
== 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}}];
 
== 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}}];
 
== See also ==
* [[Kite's thoughts on pergens]]
* [[Temperament naming]]
 
[[Category:Lists of temperaments]]
[[Category:Temperament naming]]
[[Category:Regular temperament theory]]
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