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 22:08:51 UTC</tt>.<br>
: The original revision id was <tt>148459943</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}}];
wurschmidt [&lt;1, 7, 3, 15], &lt;0, -8, -1, -18]&gt;
** rodan [{{val| 1 1 -1 3 6 }}, {{val| 0 3 17 -1 -13}}];
worschmidt [&lt;1, 7, 3, -6], &lt;0, -8, -1, 13]&gt;,
*** rodan [{{val| 1 1 -1 3 6 8 }}, {{val| 0 3 17 -1 -13 -22}}];
"whirrschmit", [[1, 7, 3, 38], [0, -8, -1, -52]],
*** aerodactyl [{{val| 1 1 -1 3 6 -1 }}, {{val| 0 3 17 -1 -13 24}}];
hemiwürschmidt [&lt;1, -1, 2, 2], &lt;0, 16, 2, 5]&gt;
* [[guiron]] [{{val| 1 1 7 3 }}, {{val| 0 3 -24 -1}}];
semisept [&lt;1, -5, 0, -3], &lt;0, 17, 6, 15]&gt;
* [[porcupine]] [{{val| 1 2 3 }}, {{val| 0 3 5}}];
mitonic [&lt;1, -1, -3, 6], &lt;0, 17, 35, -21]&gt;
** [[hystrix]] [{{val| 1 2 3 3 }}, {{val| 0 3 5 1}}];
casablanca [&lt;1, -7, -4, 1], &lt;0, 19, 14, 4]&gt;
** porcupine [{{val| 1 2 3 2 }}, {{val| 0 3 5 -6}}];
tertiaseptal [&lt;1, 3, 2, 3], &lt;0, -22, 5, -3]&gt;
*** porcupine [{{val| 1 2 3 2 4 }}, {{val| 0 3 5 -6 4}}];
grendel, voodoo [&lt;1, 9, 2, 7], &lt;0, -23, 1, -13]&gt;
** [[opossum]], pentadecimal [{{val| 1 2 3 4 }}, {{val| 0 3 5 9}}];
gamera [&lt;1, 6, 10, 3], &lt;0, -23, -40, -1]&gt;
*** opossum [{{val| 1 2 3 4 4 }}, {{val| 0 3 5 9 4}}];
supermajor [&lt;1, 15, 19, 30], &lt;0, -37, -46, -75]&gt;
*** coendou [{{val| 1 2 3 1 4 3 }}, {{val| 0 3 5 -13 4 -5}}];
quasiorwell [&lt;1, -7, 3, 1], &lt;0, 38, -3, 8]&gt;
*** porcupinefish [{{val| 1 2 3 2 4 6 }}, {{val| 0 3 5 -6 4 17}}];
neptune [&lt;1, 21, 13, 13], &lt;0, -40, -22, -21]&gt;
* [[ammonite]] [{{val| 1 5 8 10 }}, {{val| 0 9 15 19}}];
grackle [&lt;1, 0, 15, 44], &lt;0, 1, -8, -26]&gt;
* [[triton]] [{{val| 1 0 6 7 }}, {{val| 0 3 -7 -8}}];
=Two periods per octave=
* [[liese]], gawel [{{val| 1 0 -4 -3 }}, {{val| 0 3 12 11}}];
diaschismic [&lt;2, 0, 11, 31], &lt;0, 1, -2, -8]&gt;
* [[alphatricot]] [{{val| 1 0 -13 }}, {{val| 0 3 29}}];
pajara [&lt;2, 3, 5, 6], &lt;0, 1, -2, -2]&gt;
* [[tetracot]] [{{val| 1 1 1 }}, {{val| 0 4 9}}];
keen [&lt;2, 3, 5, 4], &lt;0, 1, -2, 9]&gt;
** [[monkey]] [{{val| 1 1 1 5 }}, {{val| 0 4 9 -15}}];
octokaidecal [&lt;2, 3, 4, 5], &lt;0, 1, 3, 3]&gt;
** [[bunya]] [{{val| 1 1 1 -1 }}, {{val| 0 4 9 26}}];
bipelog [&lt;2, 3, 5, 6], &lt;0, 1, -3, -3]&gt;
* [[vulture]] [{{val| 1 0 -6 }}, {{val| 0 4 21}}];
injera [&lt;2, 3, 4, 5], &lt;0, 1, 4, 4]&gt;
** [[buzzard]] [{{val| 1 0 -6 4 }}, {{val| 0 4 21 -3}}];
bischismic [&lt;2, 3, 6, 9], &lt;0, 1, -8, -20]&gt;
*** buzzard [{{val| 1 0 -6 4 -12 -7 }}, {{val| 0 4 21 -3 39 27}}];
shrutar [&lt;2, 3, 5, 5], &lt;0, 2, -4, 7]&gt;
* [[sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15}}];
decimal [&lt;2, 4, 5, 6], &lt;0, -2, -1, -1]&gt;
* semihemififths [{{val| 1 1 -5 -1 8 }}, {{val| 0 4 50 26 -31}}];
semifourths-hemififths [&lt;2, 4, 15, 11], &lt;0, -2, -25, -13]&gt;
* [[sidi]] [{{val| 1 3 3 6 }}, {{val| 0 4 2 9}}];
lemba [&lt;2, 2, 5, 6], &lt;0, 3, -1, -1]&gt;
* [[negri]] [{{val| 1 2 2 }}, {{val| 0 4 -3}}];
hedgehog [&lt;2, 4, 6, 7], &lt;0, -3, -5, -5]&gt;
** negri [{{val| 1 2 2 3 }}, {{val| 0 4 -3 2}}];
doublewide [&lt;2, 5, 6, 7], &lt;0, -4, -3, -3]&gt;
*** negri [{{val| 1 2 2 3 4 }}, {{val| 0 4 -3 2 5}}];
sesquiquartififths [&lt;2, 2, 14, 10], &lt;0, 4, -32, -15]&gt;
**** negri [{{val| 1 2 2 3 4 4 }}, {{val| 0 4 -3 2 5 3}}];
hemiamity [&lt;2, 1, -1, 13], &lt;0, 5, 13, -17]&gt;
*** negril [{{val| 1 2 2 3 2 }}, {{val| 0 4 -3 2 -14}}];
wizard [&lt;2, 1, 5, 2], &lt;0, 6, -1, 10]&gt;
**** negril [{{val| 1 2 2 3 2 4 }}, {{val| 0 4 -3 2 -14 3}}];
unidec [&lt;2, 5, 8, 5], &lt;0, -6, -11, 2]&gt;
* [[sentinel]] [{{val| 1 3 -3 6 }}, {{val| 0 4 -15 9}}];
harry [&lt;2, 4, 7, 7], &lt;0, -6, -17, -10]&gt;
* [[squares]] [{{val| 1 3 8 6 }}, {{val| 0 4 16 9}}];
vishnu [&lt;2, 4, 5, 10], &lt;0, -7, -3, -37]&gt;
* [[magic]] [{{val| 1 0 2 }}, {{val| 0 5 1}}];
bisupermajor [&lt;2, 1, 6, 1], &lt;0, 8, -5, 17]&gt;
** [[muggles]] [{{val| 1 0 2 5 }}, {{val| 0 5 1 -7}}];
semiparakleismic [&lt;2, -3, -2, -11], &lt;0, 13, 14, 35]&gt;
** magic [{{val| 1 0 2 -1 }}, {{val| 0 5 1 12}}];
hemigamera [&lt;2, 12, 20, 6], &lt;0, -23, -40, -1]&gt;
*** magic [{{val| 1 0 2 -1 6 }}, {{val| 0 5 1 12 -8}}];
=Three periods per octave=
* [[passion]] [{{val| 1 2 2 }}, {{val| 0 5 -4}}];
augene, tripletone [&lt;3, 5, 7, 8], &lt;0, -1, 0, 2]&gt;
** passion [{{val| 1 2 2 2 }}, {{val| 0 5 -4 -10}}];
august [&lt;3, 5, 7, 9], &lt;0, -1, 0, -2]&gt;
* [[ripple]] [{{val| 1 2 3 }}, {{val| 0 5 8}}];
misty [&lt;3, 5, 6, 6], &lt;0, -1, 4, 10]&gt;
** ripple [{{val| 1 2 3 3 }}, {{val| 0 5 8 2}}];
term [&lt;3, 5, 5, 4], &lt;0, -1, 8, 18]&gt;
* [[tritonic]] [{{val| 1 4 -3 -3 }}, {{val| 0 5 -11 -12}}];
semiaug [&lt;3, 5, 7, 9], &lt;0, -2, 0, -5]&gt;
** tritonic [{{val| 1 4 -3 -3 2 }}, {{val| 0 5 -11 -12 -3}}];
tritikleismic [&lt;3, 6, 8, 8], &lt;0, -6, -5, 2]&gt;
* [[amity]] [{{val| 1 3 6 }}, {{val| 0 5 13}}];
mutt [&lt;3, 5, 7, 8], &lt;0, -7, -1, 12]&gt;
** amity [{{val| 1 3 6 -2 }}, {{val| 0 5 13 -17}}];
=Four or more periods per octave=
*** hitchcock, amity [{{val| 1 3 6 -2 6 }}, {{val| 0 5 13 -17 9}}];
diminished [&lt;4, 6, 9, 11], &lt;0, 1, 1, 1]&gt;
**** hitchcock [{{val| 1 3 6 -2 6 2 }}, {{val| 0 5 13 -17 9 -6}}];
blacksmith [&lt;5, 8, 12, 14], &lt;0, 0, -1, 0]&gt;
* [[gravity]] [{{val| 1 5 12 }}, {{val| 0 6 17}}];
hexe [&lt;6, 10, 14, 17], &lt;0, -1, 0, 0]&gt;
** [[marvo]] [{{val| 1 5 12 29 }}, {{val| 0 6 17 46}}];
jamesbond, heptadecal [&lt;7, 11, 16, 20], &lt;0, 0, 0, -1]&gt;
* [[hanson]] [{{val| 1 0 1 }}, {{val| 0 6 5}}];
ennealimmal [&lt;9, 15, 22, 26], &lt;0, -2, -3, -2]&gt;
** [[keemun]] [{{val| 1 0 1 2 }}, {{val| 0 6 5 3}}];
hendecatonic [&lt;11, 17, 26, 30], &lt;0, 1, -1, 2]&gt;
*** keemun [{{val| 1 0 1 2 4 }}, {{val| 0 6 5 3 -2}}];
catler [&lt;12, 19, 28, 34], &lt;0, 0, 0, -1]&gt;
** [[catakleismic]] [{{val| 1 0 1 -3 }}, {{val| 0 6 5 22}}];
compton, waage [&lt;12, 19, 28, 34], &lt;0, 0, -1, -2]&gt;
*** catakleismic [{{val| 1 0 1 -3 9 }}, {{val| 0 6 5 22 -21}}];
enneadecal [&lt;19, 30, 44, 53], &lt;0, 1, 1, 3]&gt;
**** catakleismic [{{val| 1 0 1 -3 9 0 }}, {{val| 0 6 5 22 -21 14}}];
icosidillic [&lt;22, 35, 51, 62], &lt;0, -1, 1, -2]&gt;
** [[countercata]] [{{val| 1 0 1 11 }}, {{val| 0 6 5 -31}}];
hemienneadecal [&lt;38, 60, 88, 106], &lt;0, 1, 1, 3]&gt;</pre></div>
* [[ampersand]] [{{val| 1 1 3 }}, {{val| 0 6 -7}}];
<h4>Original HTML content:</h4>
** [[miracle]] [{{val| 1 1 3 3 }}, {{val| 0 6 -7 -2}}];
<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;
*** miracle [{{val| 1 1 3 3 2 }}, {{val| 0 6 -7 -2 15}}];
&lt;br /&gt;
* [[nautilus]] [{{val| 1 2 3 3 }}, {{val| 0 6 10 3}}];
&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;
* [[orson]] [{{val| 1 0 3 }}, {{val| 0 7 -3}}];
mother [&amp;lt;1, 2, 2, 2], &amp;lt;0, -1, 1, 2]&amp;gt;&lt;br /&gt;
** [[orwell]] [{{val| 1 0 3 1 }}, {{val| 0 7 -3 8}}];
father [&amp;lt;1, 2, 2, 4], &amp;lt;0, -1, 1, -3]&amp;gt;&lt;br /&gt;
*** orwell [{{val| 1 0 3 1 3 }}, {{val| 0 7 -3 8 2}}];
mavila [&amp;lt;1, 2, 1, 1], &amp;lt;0, -1, 3, 4]&amp;gt;&lt;br /&gt;
**** orwell [{{val| 1 0 3 1 3 8 }}, {{val| 0 7 -3 8 2 -19}}];
hexadecimal, pelogic [&amp;lt;1, 2, 1, 5], &amp;lt;0, -1, 3, -5]&amp;gt;&lt;br /&gt;
**** blair [{{val| 1 0 3 1 3 3 }}, {{val| 0 7 -3 8 2 3}}];
dominant [&amp;lt;1, 2, 4, 2], &amp;lt;0, -1, -4, 2]&amp;gt;&lt;br /&gt;
**** winston [{{val| 1 0 3 1 3 1 }}, {{val| 0 7 -3 8 2 12}}];
sharptone [&amp;lt;1, 2, 4, 4], &amp;lt;0, -1, -4, -3]&amp;gt;&lt;br /&gt;
* [[sensi]] [{{val| 1 6 8 }}, {{val| 0 7 9}}];
flattone [&amp;lt;1, 2, 4, -1], &amp;lt;0, -1, -4, 9]&amp;gt;&lt;br /&gt;
** sensi [{{val| 1 6 8 11 }}, {{val| 0 7 9 13}}];
meantone [&amp;lt;1, 2, 4, 7], &amp;lt;0, -1, -4, -10]&amp;gt;&lt;br /&gt;
*** [[sensor]] [{{val| 1 6 8 11 -6 }}, {{val| 0 7 9 13 -15}}];
schism [&amp;lt;1, 2, -1, 2], &amp;lt;0, -1, 8, 2]&amp;gt;&lt;br /&gt;
**** sensor [{{val| 1 6 8 11 -6 10 }}, {{val| 0 7 9 13 -15 10}}];
garibaldi [&amp;lt;1, 2, -1, -3], &amp;lt;0, -1, 8, 14]&amp;gt;&lt;br /&gt;
*** [[sensis]] [{{val| 1 6 8 11 6 }}, {{val| 0 7 9 13 4}}];
pontiac, infraschismic [&amp;lt;1, 2, -1, 19], &amp;lt;0, -1, 8, -39]&amp;gt;&lt;br /&gt;
**** sensis [{{val| 1 6 8 11 6 10 }}, {{val| 0 7 9 13 4 10}}];
superpyth [&amp;lt;1, 2, 6, 2], &amp;lt;0, -1, -9, 2]&amp;gt;&lt;br /&gt;
*** [[sensus]] [{{val| 1 6 8 11 23 }}, {{val| 0 7 9 13 31}}];
quasisuper [&amp;lt;1, 2, -3, 2], &amp;lt;0, -1, 13, 2]&amp;gt;&lt;br /&gt;
**** sensus [{{val| 1 6 8 11 23 10 }}, {{val| 0 7 9 13 31 10}}];
leapday [&amp;lt;1, 2, 11, 9], &amp;lt;0, -1, -21, -15]&amp;gt;&lt;br /&gt;
* [[roman]] [{{val| 1 4 3 -1 0 3 }}, {{val| 0 7 2 -11 -10 -2}}];
kwai [&amp;lt;1, 2, 16, 14], &amp;lt;0, -1, -33, -27]&amp;gt;&lt;br /&gt;
* [[octacot]] [{{val| 1 1 1 2 }}, {{val| 0 8 18 11}}];
undecental [&amp;lt;1, 2, -13, -15], &amp;lt;0, -1, 37, 43]&amp;gt;&lt;br /&gt;
* [[würschmidt]] [{{val| 1 7 3 }}, {{val| 0 8 1}}];
dicot [&amp;lt;1, 1, 2, 2], &amp;lt;0, 2, 1, 3]&amp;gt;&lt;br /&gt;
** [[worschmidt]] [{{val| 1 7 3 -6 }}, {{val| 0 8 1 -13}}];
sharp [&amp;lt;1, 1, 2, 1], &amp;lt;0, 2, 1, 6]&amp;gt;&lt;br /&gt;
** [[wurschmidt]] [{{val| 1 7 3 15 }}, {{val| 0 8 1 18}}];
semififths, mohajira [&amp;lt;1, 1, 0, 6], &amp;lt;0, 2, 8, -11]&amp;gt;&lt;br /&gt;
** [[whirrschmidt]] [{{val| 1 7 3 38 }}, {{val| 0 8 1 52}}];
beatles [&amp;lt;1, 1, 5, 4], &amp;lt;0, 2, -9, -4]&amp;gt;&lt;br /&gt;
* [[valentine]] [{{val| 1 1 2 }}, {{val| 0 9 5}}];
hemififths [&amp;lt;1, 1, -5, -1], &amp;lt;0, 2, 25, 13]&amp;gt;&lt;br /&gt;
** valentine [{{val| 1 1 2 3 }}, {{val| 0 9 5 -3}}];
beep [&amp;lt;1, 2, 3, 3], &amp;lt;0, -2, -3, -1]&amp;gt;&lt;br /&gt;
*** valentine [{{val| 1 1 2 3 3 }}, {{val| 0 9 5 -3 7}}];
superpelog [&amp;lt;1, 2, 1, 3], &amp;lt;0, -2, 6, -1]&amp;gt;&lt;br /&gt;
**** valentino [{{val| 1 1 2 3 3 5 }}, {{val| 0 9 5 -3 7 -20}}];
semaphore, godzilla [&amp;lt;1, 2, 4, 3], &amp;lt;0, -2, -8, -1]&amp;gt;&lt;br /&gt;
**** dwynwen [{{val| 1 1 2 3 3 2 }}, {{val| 0 9 5 -3 7 26}}];
gidorah [&amp;lt;1, 1, 2, 3], &amp;lt;0, 3, 2, -1]&amp;gt;&lt;br /&gt;
**** lupercalia [{{val| 1 1 2 3 3 3 }}, {{val| 0 9 5 -3 7 11}}];
penta [&amp;lt;1, 1, 2, 2], &amp;lt;0, 3, 2, 4]&amp;gt;&lt;br /&gt;
* [[escapade]] [{{val| 1 2 2 }}, {{val| 0 9 -7}}];
gorgo [&amp;lt;1, 1, 1, 3], &amp;lt;0, 3, 7, -1]&amp;gt;&lt;br /&gt;
** escapade [{{val| 1 2 2 3 }}, {{val| 0 9 -7 4}}];
cynder, mothra [&amp;lt;1, 1, 0, 3], &amp;lt;0, 3, 12, -1]&amp;gt;&lt;br /&gt;
** [[escaped]] [{{val| 1 2 2 4 }}, {{val| 0 9 -7 26}}];
rodan [&amp;lt;1, 1, -1, 3], &amp;lt;0, 3, 17, -1]&amp;gt;&lt;br /&gt;
* [[superkleismic]] [{{val| 1 4 5 2 }}, {{val| 0 9 10 -3}}];
guiron [&amp;lt;1, 1, 7, 3], &amp;lt;0, 3, -24, -1]&amp;gt;&lt;br /&gt;
** superkleismic [{{val| 1 4 5 2 4 }}, {{val| 0 9 10 -3 2}}];
hystrix [&amp;lt;1, 2, 3, 3], &amp;lt;0, -3, -5, -1]&amp;gt;&lt;br /&gt;
* [[mabila]] [{{val| 1 6 1 }}, {{val| 0 10 -3}}];
porcupine [&amp;lt;1, 2, 3, 2], &amp;lt;0, -3, -5, 6]&amp;gt;&lt;br /&gt;
* [[myna]] [{{val| 1 9 9 8 }}, {{val| 0 10 9 7}}];
opossum, pentadecimal [&amp;lt;1, 2, 3, 4], &amp;lt;0, -3, -5, -9]&amp;gt;&lt;br /&gt;
** myna [{{val| 1 9 9 8 22 }}, {{val| 0 10 9 7 25}}];
triton [&amp;lt;1, 3, -1, -1], &amp;lt;0, -3, 7, 8]&amp;gt;&lt;br /&gt;
*** myna [{{val| 1 9 9 8 22 0 }}, {{val| 0 10 9 7 25 -5}}];
liese, gawel [&amp;lt;1, 3, 8, 8], &amp;lt;0, -3, -12, -11]&amp;gt;&lt;br /&gt;
* [[sycamore]] [{{val| 1 1 2 }}, {{val| 0 11 6}}];
vulture, buzzard [&amp;lt;1, 0, -6, 4], &amp;lt;0, 4, 21, -3]&amp;gt;&lt;br /&gt;
** sycamore [{{val| 1 1 2 2 }}, {{val| 0 11 6 15}}];
sesquiquartififths [&amp;lt;1, 1, 7, 5], &amp;lt;0, 4, -32, -15]&amp;gt;&lt;br /&gt;
* [[septimin]] [{{val| 1 4 1 5 }}, {{val| 0 11 -6 10}}];
sidi [&amp;lt;1, 3, 3, 6], &amp;lt;0, -4, -2, -9]&amp;gt;&lt;br /&gt;
* [[nusecond]] [{{val| 1 3 4 5 }}, {{val| 0 11 13 17}}];
negri [&amp;lt;1, 2, 2, 3], &amp;lt;0, -4, 3, -2]&amp;gt;&lt;br /&gt;
* [[quartonic]] [{{val| 1 2 3 3 }}, {{val| 0 11 18 5}}];
sentinel [&amp;lt;1, 3, -3, 6], &amp;lt;0, -4, 15, -9]&amp;gt;&lt;br /&gt;
* [[hemikleismic]] [{{val| 1 0 1 4 }}, {{val| 0 12 10 -9}}];
squares [&amp;lt;1, 3, 8, 6], &amp;lt;0, -4, -16, -9]&amp;gt;&lt;br /&gt;
* [[clyde]] [{{val| 1 6 6 12 }}, {{val| 0 12 10 25}}];
muggles [&amp;lt;1, 0, 2, 5], &amp;lt;0, 5, 1, -7]&amp;gt;&lt;br /&gt;
* [[bohpier]] [{{val| 1 0 0 0 }}, {{val| 0 13 19 23}}];
magic [&amp;lt;1, 0, 2, -1], &amp;lt;0, 5, 1, 12]&amp;gt;&lt;br /&gt;
* doublethink [{{val| 1 0 3 1 3 2 }}, {{val| 0 14 -6 16 4 15}}];
passion [&amp;lt;1, 2, 2, 2], &amp;lt;0, -5, 4, 10]&amp;gt;&lt;br /&gt;
* [[gammic]] [{{val| 1 1 2 }}, {{val| 0 20 11}}];
ripple [&amp;lt;1, 2, 3, 3], &amp;lt;0, -5, -8, -2]&amp;gt;&lt;br /&gt;
** gammic [{{val| 1 1 2 0 }}, {{val| 0 20 11 96}}];
tritonic [&amp;lt;1, 4, -3, -3], &amp;lt;0, -5, 11, 12]&amp;gt;&lt;br /&gt;
* [[neptune]] [{{val| 1 21 13 13 }}, {{val| 0 40 22 21}}];
amity [&amp;lt;1, 3, 6, -2], &amp;lt;0, -5, -13, 17]&amp;gt;&lt;br /&gt;
* [[pluto]] [{{val| 1 5 15 15 2 }}, {{val| 0 7 26 25 -3}}];
keemun [&amp;lt;1, 0, 1, 2], &amp;lt;0, 6, 5, 3]&amp;gt;&lt;br /&gt;
* [[twothirdtonic]] [{{val| 1 3 2 4 4 }}, {{val| 0 13 -3 11 5}}];
catakleismic [&amp;lt;1, 0, 1, -3], &amp;lt;0, 6, 5, 22]&amp;gt;&lt;br /&gt;
** twothirdtonic [{{val| 1 3 2 4 4 5 }}, {{val| 0 13 -3 11 5 12}}];
countercata [&amp;lt;1, 0, 1, 11], &amp;lt;0, 6, 5, -31]&amp;gt;&lt;br /&gt;
* [[slender]] [{{val| 1 2 2 3 }}, {{val| 0 13 -10 6}}];
miracle [&amp;lt;1, 1, 3, 3], &amp;lt;0, 6, -7, -2]&amp;gt;&lt;br /&gt;
** slender [{{val| 1 2 2 3 4 }}, {{val| 0 13 -10 6 17}}];
marvo [&amp;lt;1, -1, -5, -17], &amp;lt;0, 6, 17, 46]&amp;gt;&lt;br /&gt;
* [[parakleismic]] [{{val| 1 5 6 }}, {{val| 0 13 14}}];
nautilus [&amp;lt;1, 2, 3, 3], &amp;lt;0, -6, -10, -3]&amp;gt;&lt;br /&gt;
** parakleismic [{{val| 1 5 6 12 }}, {{val| 0 13 14 35}}];
orwell [&amp;lt;1, 0, 3, 1], &amp;lt;0, 7, -3, 8]&amp;gt;&lt;br /&gt;
* [[fortune]] [{{val| 1 13 -36 }}, {{val| 0 14 -47}}];
sensi [&amp;lt;1, -1, -1, -2], &amp;lt;0, 7, 9, 13]&amp;gt;&lt;br /&gt;
* [[hemithirds]], [[luna]] [{{val| 1 4 2 }}, {{val| 0 15 -2}}];
roman [&amp;lt;1, 4, 3, -1], &amp;lt;0, -7, -2, 11]&amp;gt;&lt;br /&gt;
** hemithirds [{{val| 1 4 2 2 }}, {{val| 0 15 -2 -5}}];
octacot [&amp;lt;1, 1, 1, 2], &amp;lt;0, 8, 18, 11]&amp;gt;&lt;br /&gt;
*** hemithirds [{{val| 1 4 2 2 7 }}, {{val| 0 15 -2 -5 22}}];
valentine [&amp;lt;1, 1, 2, 3], &amp;lt;0, 9, 5, -3]&amp;gt;&lt;br /&gt;
* [[hemiwürschmidt]] [{{val| 1 15 4 7 }}, {{val| 0 16 2 5}}];
escapade [&amp;lt;1, 2, 2, 3], &amp;lt;0, -9, 7, -4]&amp;gt;&lt;br /&gt;
** hemiwürschmidt [{{val| 1 15 4 7 37 }}, {{val| 0 16 2 5 40}}];
superkleismic [&amp;lt;1, 4, 5, 2], &amp;lt;0, -9, -10, 3]&amp;gt;&lt;br /&gt;
* [[semisept]] [{{val| 1 12 6 12 }}, {{val| 0 17 6 15}}];
myna [&amp;lt;1, -1, 0, 1], &amp;lt;0, 10, 9, 7]&amp;gt;&lt;br /&gt;
* [[vavoom]] [{{val| 1 0 4 }}, {{val| 0 17 -18}}];
sycamore [&amp;lt;1, 1, 2, 2], &amp;lt;0, 11, 6, 15]&amp;gt;&lt;br /&gt;
* [[minortone]] [{{val| 1 16 32 }}, {{val| 0 17 35}}];
septimin [&amp;lt;1, 4, 1, 5], &amp;lt;0, -11, 6, -10]&amp;gt;&lt;br /&gt;
** [[mitonic]] [{{val| 1 16 32 -15 }}, {{val| 0 17 35 -21}}];
nusecond [&amp;lt;1, 3, 4, 5], &amp;lt;0, -11, -13, -17]&amp;gt;&lt;br /&gt;
* [[casablanca]] [{{val| 1 12 10 5 }}, {{val| 0 19 14 4}}];
quartonic [&amp;lt;1, 2, 3, 3], &amp;lt;0, -11, -18, -5]&amp;gt;&lt;br /&gt;
** casablanca [{{val| 1 12 10 5 4 }}, {{val| 0 19 14 4 1}}];
hemikleismic [&amp;lt;1, 0, 1, 4], &amp;lt;0, 12, 10, -9]&amp;gt;&lt;br /&gt;
* [[tertiaseptal]] [{{val| 1 3 2 3 }}, {{val| 0 22 -5 3}}];
clyde [&amp;lt;1, 6, 6, 12], &amp;lt;0, -12, -10, -25]&amp;gt;&lt;br /&gt;
* [[grendel]], voodoo [{{val| 1 9 2 7 }}, {{val| 0 23 -1 13}}];
bohpier [&amp;lt;1, 0, 0, 0], &amp;lt;0, 13, 19, 23]&amp;gt;&lt;br /&gt;
* [[gamera]] [{{val| 1 6 10 3 }}, {{val| 0 23 40 1}}];
slender [&amp;lt;1, 2, 2, 3], &amp;lt;0, -13, 10, -6]&amp;gt;&lt;br /&gt;
* [[astro]] [{{val| 1 5 1 }}, {{val| 0 31 -12}}];
parakleismic [&amp;lt;1, 5, 6, 12], &amp;lt;0, -13, -14, -35]&amp;gt;&lt;br /&gt;
* semihemiwürschmidt [{{val| 1 15 4 7 24 }}, {{val| 0 32 4 10 49}}];
luna [&amp;lt;1, 4, 2, 2], &amp;lt;0, -15, 2, 5]&amp;gt;&lt;br /&gt;
* [[whoosh]] [{{val| 1 17 14 }}, {{val| 0 33 25}}];
wurschmidt [&amp;lt;1, 7, 3, 15], &amp;lt;0, -8, -1, -18]&amp;gt;&lt;br /&gt;
* [[yarman]] [{{val| 1 2 3 4 4 }}, {{val| 0 33 54 95 43}}];
worschmidt [&amp;lt;1, 7, 3, -6], &amp;lt;0, -8, -1, 13]&amp;gt;,&lt;br /&gt;
* [[senior]] [{{val| 1 11 19 }}, {{val| 0 35 62}}];
&amp;quot;whirrschmit&amp;quot;, [[1, 7, 3, 38], [0, -8, -1, -52]],&lt;br /&gt;
* [[raider]] [{{val| 1 28 73 }}, {{val| 0 37 99}}];
hemiwürschmidt [&amp;lt;1, -1, 2, 2], &amp;lt;0, 16, 2, 5]&amp;gt;&lt;br /&gt;
* [[supermajor (temperament)|supermajor]] [{{val| 1 15 19 30 }}, {{val| 0 37 46 75}}];
semisept [&amp;lt;1, -5, 0, -3], &amp;lt;0, 17, 6, 15]&amp;gt;&lt;br /&gt;
* [[quasiorwell]] [{{val| 1 31 0 9 }}, {{val| 0 38 -3 8}}];
mitonic [&amp;lt;1, -1, -3, 6], &amp;lt;0, 17, 35, -21]&amp;gt;&lt;br /&gt;
* semigamera [{{val| 1 6 10 3 12 }}, {{val| 0 46 80 2 89}}];
casablanca [&amp;lt;1, -7, -4, 1], &amp;lt;0, 19, 14, 4]&amp;gt;&lt;br /&gt;
* [[gross]] [{{val| 1 45 -18 }}, {{val| 0 47 -22}}];
tertiaseptal [&amp;lt;1, 3, 2, 3], &amp;lt;0, -22, 5, -3]&amp;gt;&lt;br /&gt;
* [[pirate]] [{{val| 1 43 15 }}, {{val| 0 49 15}}];
grendel, voodoo [&amp;lt;1, 9, 2, 7], &amp;lt;0, -23, 1, -13]&amp;gt;&lt;br /&gt;
* [[egads]] [{{val| 1 15 16 }}, {{val| 0 51 52}}];
gamera [&amp;lt;1, 6, 10, 3], &amp;lt;0, -23, -40, -1]&amp;gt;&lt;br /&gt;
 
supermajor [&amp;lt;1, 15, 19, 30], &amp;lt;0, -37, -46, -75]&amp;gt;&lt;br /&gt;
== Two periods per octave ==
quasiorwell [&amp;lt;1, -7, 3, 1], &amp;lt;0, 38, -3, 8]&amp;gt;&lt;br /&gt;
* [[srutal]] [{{val| 2 0 11 }}, {{val| 0 1 -2}}];
neptune [&amp;lt;1, 21, 13, 13], &amp;lt;0, -40, -22, -21]&amp;gt;&lt;br /&gt;
** [[pajara]] [{{val| 2 0 11 12 }}, {{val| 0 1 -2 -2}}];
grackle [&amp;lt;1, 0, 15, 44], &amp;lt;0, 1, -8, -26]&amp;gt;&lt;br /&gt;
*** pajaric [{{val| 2 0 11 12 7 }}, {{val| 0 1 -2 -2 0}}];
&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;
*** pajarous [{{val| 2 0 11 12 -9 }}, {{val| 0 1 -2 -2 5}}];
diaschismic [&amp;lt;2, 0, 11, 31], &amp;lt;0, 1, -2, -8]&amp;gt;&lt;br /&gt;
*** pajara [{{val| 2 0 11 12 26 }}, {{val| 0 1 -2 -2 -6}}];
pajara [&amp;lt;2, 3, 5, 6], &amp;lt;0, 1, -2, -2]&amp;gt;&lt;br /&gt;
** [[diaschismic]] [{{val| 2 0 11 31 }}, {{val| 0 1 -2 -8}}];
keen [&amp;lt;2, 3, 5, 4], &amp;lt;0, 1, -2, 9]&amp;gt;&lt;br /&gt;
*** diaschismic [{{val| 2 0 11 31 45 55 }}, {{val| 0 1 -2 -8 -12 -15}}];
octokaidecal [&amp;lt;2, 3, 4, 5], &amp;lt;0, 1, 3, 3]&amp;gt;&lt;br /&gt;
** [[keen]] [{{val| 2 0 11 -23 }}, {{val| 0 1 -2 9}}];
bipelog [&amp;lt;2, 3, 5, 6], &amp;lt;0, 1, -3, -3]&amp;gt;&lt;br /&gt;
* [[supersharp]] [{{val| 2 0 -5 }}, {{val| 0 1 3}}];
injera [&amp;lt;2, 3, 4, 5], &amp;lt;0, 1, 4, 4]&amp;gt;&lt;br /&gt;
** [[octokaidecal]] [{{val| 2 0 -5 -4 }}, {{val| 0 1 3 3}}];
bischismic [&amp;lt;2, 3, 6, 9], &amp;lt;0, 1, -8, -20]&amp;gt;&lt;br /&gt;
* [[bipelog]] [{{val| 2 0 14 15 }}, {{val| 0 1 -3 -3}}];
shrutar [&amp;lt;2, 3, 5, 5], &amp;lt;0, 2, -4, 7]&amp;gt;&lt;br /&gt;
* [[injera]] [{{val| 2 0 -8 -7 }}, {{val| 0 1 4 4}}];
decimal [&amp;lt;2, 4, 5, 6], &amp;lt;0, -2, -1, -1]&amp;gt;&lt;br /&gt;
** injera [{{val| 2 0 -8 -7 -12 }}, {{val| 0 1 4 4 6}}];
semifourths-hemififths [&amp;lt;2, 4, 15, 11], &amp;lt;0, -2, -25, -13]&amp;gt;&lt;br /&gt;
* [[bischismic]] [{{val| 2 0 30 69 }}, {{val| 0 1 -8 -20}}];
lemba [&amp;lt;2, 2, 5, 6], &amp;lt;0, 3, -1, -1]&amp;gt;&lt;br /&gt;
* [[shrutar]] [{{val| 2 1 9 -2 }}, {{val| 0 2 -4 7}}];
hedgehog [&amp;lt;2, 4, 6, 7], &amp;lt;0, -3, -5, -5]&amp;gt;&lt;br /&gt;
** shrutar [{{val| 2 1 9 -2 8 }}, {{val| 0 2 -4 7 -1}}];
doublewide [&amp;lt;2, 5, 6, 7], &amp;lt;0, -4, -3, -3]&amp;gt;&lt;br /&gt;
*** srutar [{{val| 2 1 9 -2 8 15 }}, {{val| 0 2 -4 7 -1 -7}}];
sesquiquartififths [&amp;lt;2, 2, 14, 10], &amp;lt;0, 4, -32, -15]&amp;gt;&lt;br /&gt;
*** shrutar [{{val| 2 1 9 -2 8 -10 }}, {{val| 0 2 -4 7 -1 16}}];
hemiamity [&amp;lt;2, 1, -1, 13], &amp;lt;0, 5, 13, -17]&amp;gt;&lt;br /&gt;
* [[echidna]] [{{val| 2 1 9 2 }}, {{val| 0 3 -6 5}}];
wizard [&amp;lt;2, 1, 5, 2], &amp;lt;0, 6, -1, 10]&amp;gt;&lt;br /&gt;
** echidna [{{val| 2 1 9 2 12 }}, {{val| 0 3 -6 5 -7}}];
unidec [&amp;lt;2, 5, 8, 5], &amp;lt;0, -6, -11, 2]&amp;gt;&lt;br /&gt;
* [[decimal]] [{{val| 2 0 3 4 }}, {{val| 0 2 1 1}}];
harry [&amp;lt;2, 4, 7, 7], &amp;lt;0, -6, -17, -10]&amp;gt;&lt;br /&gt;
* semihemi [{{val| 2 0 -35 -15 -47 }}, {{val| 0 2 25 13 34}}];
vishnu [&amp;lt;2, 4, 5, 10], &amp;lt;0, -7, -3, -37]&amp;gt;&lt;br /&gt;
* [[lemba]] [{{val| 2 2 5 6 }}, {{val| 0 3 -1 -1}}];
bisupermajor [&amp;lt;2, 1, 6, 1], &amp;lt;0, 8, -5, 17]&amp;gt;&lt;br /&gt;
* [[hedgehog]] [{{val| 2 1 1 2 }}, {{val| 0 3 5 5}}];
semiparakleismic [&amp;lt;2, -3, -2, -11], &amp;lt;0, 13, 14, 35]&amp;gt;&lt;br /&gt;
* [[doublewide]] [{{val| 2 1 3 }}, {{val| 0 4 3}}];
hemigamera [&amp;lt;2, 12, 20, 6], &amp;lt;0, -23, -40, -1]&amp;gt;&lt;br /&gt;
** doublewide [{{val| 2 1 3 4 }}, {{val| 0 4 3 3}}];
&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;
*** doublewide [{{val| 2 1 3 4 8 }}, {{val| 0 4 3 3 -2}}];
augene, tripletone [&amp;lt;3, 5, 7, 8], &amp;lt;0, -1, 0, 2]&amp;gt;&lt;br /&gt;
* [[sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15}}];
august [&amp;lt;3, 5, 7, 9], &amp;lt;0, -1, 0, -2]&amp;gt;&lt;br /&gt;
* hemiamity [{{val| 2 1 -1 13 13 }}, {{val| 0 5 13 -17 -14}}];
misty [&amp;lt;3, 5, 6, 6], &amp;lt;0, -1, 4, 10]&amp;gt;&lt;br /&gt;
* [[wizard]] [{{val| 2 1 5 2 }}, {{val| 0 6 -1 10}}];
term [&amp;lt;3, 5, 5, 4], &amp;lt;0, -1, 8, 18]&amp;gt;&lt;br /&gt;
** wizard [{{val| 2 1 5 2 8 }}, {{val| 0 6 -1 10 -3}}];
semiaug [&amp;lt;3, 5, 7, 9], &amp;lt;0, -2, 0, -5]&amp;gt;&lt;br /&gt;
* [[unidec]] [{{val| 2 5 8 5 }}, {{val| 0 6 11 -2}}];
tritikleismic [&amp;lt;3, 6, 8, 8], &amp;lt;0, -6, -5, 2]&amp;gt;&lt;br /&gt;
** unidec [{{val| 2 5 8 5 6 }}, {{val| 0 6 11 -2 -3}}];
mutt [&amp;lt;3, 5, 7, 8], &amp;lt;0, -7, -1, 12]&amp;gt;&lt;br /&gt;
*** hendec [{{val| 2 5 8 5 6 8 }}, {{val| 0 6 11 -2 -3 2}}];
&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;
* [[harry]] [{{val| 2 4 7 7 }}, {{val| 0 6 17 10}}];
diminished [&amp;lt;4, 6, 9, 11], &amp;lt;0, 1, 1, 1]&amp;gt;&lt;br /&gt;
* [[vishnu]] [{{val| 2 4 5 }}, {{val| 0 7 3}}];
blacksmith [&amp;lt;5, 8, 12, 14], &amp;lt;0, 0, -1, 0]&amp;gt;&lt;br /&gt;
** vishnu [{{val| 2 4 5 10 }}, {{val| 0 7 3 37}}];
hexe [&amp;lt;6, 10, 14, 17], &amp;lt;0, -1, 0, 0]&amp;gt;&lt;br /&gt;
* [[kwazy]] [{{val| 2 1 6 }}, {{val| 0 8 -5}}];
jamesbond, heptadecal [&amp;lt;7, 11, 16, 20], &amp;lt;0, 0, 0, -1]&amp;gt;&lt;br /&gt;
** [[bisupermajor]] [{{val| 2 1 6 1 8 }}, {{val| 0 8 -5 17 -4}}];
ennealimmal [&amp;lt;9, 15, 22, 26], &amp;lt;0, -2, -3, -2]&amp;gt;&lt;br /&gt;
* [[abigail]] [{{val| 2 7 13 -1 1 -2 }}, {{val| 0 11 24 -19 -17 -27}}];
hendecatonic [&amp;lt;11, 17, 26, 30], &amp;lt;0, 1, -1, 2]&amp;gt;&lt;br /&gt;
* semiparakleismic [{{val| 2 10 12 24 19 }}, {{val| 0 13 14 35 23}}];
catler [&amp;lt;12, 19, 28, 34], &amp;lt;0, 0, 0, -1]&amp;gt;&lt;br /&gt;
* hemigamera [{{val| 2 12 20 6 5 }}, {{val| 0 23 40 1 -5}}];
compton, waage [&amp;lt;12, 19, 28, 34], &amp;lt;0, 0, -1, -2]&amp;gt;&lt;br /&gt;
 
enneadecal [&amp;lt;19, 30, 44, 53], &amp;lt;0, 1, 1, 3]&amp;gt;&lt;br /&gt;
== Three periods per octave ==
icosidillic [&amp;lt;22, 35, 51, 62], &amp;lt;0, -1, 1, -2]&amp;gt;&lt;br /&gt;
* [[augmented (temperament)|augmented]] [{{val| 3 0 7 }}, {{val| 0 1 0}}];
hemienneadecal [&amp;lt;38, 60, 88, 106], &amp;lt;0, 1, 1, 3]&amp;gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
** [[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]]

Latest revision as of 11:22, 29 May 2026

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

Todo: update

One period per octave

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

Two periods per octave

  • srutal [⟨2 0 11], ⟨0 1 -2]];
    • pajara [⟨2 0 11 12], ⟨0 1 -2 -2]];
      • pajaric [⟨2 0 11 12 7], ⟨0 1 -2 -2 0]];
      • pajarous [⟨2 0 11 12 -9], ⟨0 1 -2 -2 5]];
      • pajara [⟨2 0 11 12 26], ⟨0 1 -2 -2 -6]];
    • diaschismic [⟨2 0 11 31], ⟨0 1 -2 -8]];
      • diaschismic [⟨2 0 11 31 45 55], ⟨0 1 -2 -8 -12 -15]];
    • keen [⟨2 0 11 -23], ⟨0 1 -2 9]];
  • supersharp [⟨2 0 -5], ⟨0 1 3]];
  • bipelog [⟨2 0 14 15], ⟨0 1 -3 -3]];
  • injera [⟨2 0 -8 -7], ⟨0 1 4 4]];
    • injera [⟨2 0 -8 -7 -12], ⟨0 1 4 4 6]];
  • bischismic [⟨2 0 30 69], ⟨0 1 -8 -20]];
  • shrutar [⟨2 1 9 -2], ⟨0 2 -4 7]];
    • shrutar [⟨2 1 9 -2 8], ⟨0 2 -4 7 -1]];
      • srutar [⟨2 1 9 -2 8 15], ⟨0 2 -4 7 -1 -7]];
      • shrutar [⟨2 1 9 -2 8 -10], ⟨0 2 -4 7 -1 16]];
  • echidna [⟨2 1 9 2], ⟨0 3 -6 5]];
    • echidna [⟨2 1 9 2 12], ⟨0 3 -6 5 -7]];
  • decimal [⟨2 0 3 4], ⟨0 2 1 1]];
  • semihemi [⟨2 0 -35 -15 -47], ⟨0 2 25 13 34]];
  • lemba [⟨2 2 5 6], ⟨0 3 -1 -1]];
  • hedgehog [⟨2 1 1 2], ⟨0 3 5 5]];
  • doublewide [⟨2 1 3], ⟨0 4 3]];
    • doublewide [⟨2 1 3 4], ⟨0 4 3 3]];
      • doublewide [⟨2 1 3 4 8], ⟨0 4 3 3 -2]];
  • sesquiquartififths [⟨1 1 7 5], ⟨0 4 -32 -15]];
  • hemiamity [⟨2 1 -1 13 13], ⟨0 5 13 -17 -14]];
  • wizard [⟨2 1 5 2], ⟨0 6 -1 10]];
    • wizard [⟨2 1 5 2 8], ⟨0 6 -1 10 -3]];
  • unidec [⟨2 5 8 5], ⟨0 6 11 -2]];
    • unidec [⟨2 5 8 5 6], ⟨0 6 11 -2 -3]];
      • hendec [⟨2 5 8 5 6 8], ⟨0 6 11 -2 -3 2]];
  • harry [⟨2 4 7 7], ⟨0 6 17 10]];
  • vishnu [⟨2 4 5], ⟨0 7 3]];
    • vishnu [⟨2 4 5 10], ⟨0 7 3 37]];
  • kwazy [⟨2 1 6], ⟨0 8 -5]];
  • abigail [⟨2 7 13 -1 1 -2], ⟨0 11 24 -19 -17 -27]];
  • semiparakleismic [⟨2 10 12 24 19], ⟨0 13 14 35 23]];
  • hemigamera [⟨2 12 20 6 5], ⟨0 23 40 1 -5]];

Three periods per octave

  • augmented [⟨3 0 7], ⟨0 1 0]];
    • augene, tripletone [⟨3 0 7 18], ⟨0 1 0 -2]];
      • augene, tripletone [⟨3 0 7 18 20], ⟨0 1 0 -2 -2]];
    • august [⟨3 0 7 -1], ⟨0 1 0 2]];
  • misty [⟨3 0 26], ⟨0 1 -4]];
    • misty [⟨3 0 26 56], ⟨0 1 -4 -10]];
  • term [⟨3 0 45 94], ⟨0 1 -8 -18]];
  • semiaug [⟨3 1 7 -1], ⟨0 2 0 5]];
  • tritikleismic [⟨3 0 3 10], ⟨0 6 5 -2]];
  • mutt [⟨3 5 7 8], ⟨0 7 1 -12]];
  • ternary [⟨3 5 7 0], ⟨0 0 0 1]];

Four or more periods per octave

  • diminished [⟨4 0 3], ⟨0 1 1]];
    • diminished [⟨4 0 3 5], ⟨0 1 1 1]];
      • diminished [⟨4 0 3 5 14], ⟨0 1 1 1 0]];
      • demolished [⟨4 0 3 5 -5], ⟨0 1 1 1 3]];
  • blackwood [⟨5 8 0], ⟨0 0 1]];
    • blackwood [⟨5 8 0 14], ⟨0 0 1 0]];
  • hexe [⟨6 0 14 17], ⟨0 1 0 0]];
  • jamesbond [⟨7 11 16 0], ⟨0 0 0 1]];
    • jamesbond [⟨7 11 16 0 24], ⟨0 0 0 1 0]];
  • whitewood [⟨7 11 0], ⟨0 0 1]];
  • octoid [⟨8 1 3 3 16], ⟨0 3 4 5 3]];
  • ennealimmal [⟨9 1 1], ⟨0 2 3]];
    • ennealimmal [⟨9 1 1 12], ⟨0 2 3 2]];
      • ennealimmal [⟨9 1 1 12 -75], ⟨0 2 3 2 16]];
  • decoid [⟨10 0 47 36], ⟨0 2 -3 -1]];
    • decoid [⟨10 0 47 36 98], ⟨0 2 -3 -1 -8]];
      • decoid [⟨10 0 47 36 98 37], ⟨0 2 -3 -1 -8 0]];
  • hendecatonic [⟨11 0 43 -4], ⟨0 1 -1 2]];
  • catler [⟨12 19 28 0], ⟨0 0 0 1]];
  • compton [⟨12 19 0], ⟨0 0 1]];
    • compton, waage [⟨12 19 0 -22], ⟨0 0 1 2]];
      • compton, duodecimal [⟨12 19 0 -22 -42], ⟨0 0 1 2 3]];
  • duodecim [⟨12 19 28 34 0], ⟨0 0 0 0 1]];
  • atomic [⟨12 0 161], ⟨0 1 -7]];
  • hemiennealimmal [⟨18 0 -1 22 48], ⟨0 2 3 2 1]];
  • enneadecal [⟨19 0 14], ⟨0 1 1]];
    • enneadecal [⟨19 0 14 -37], ⟨0 1 1 3]];
  • undevigintone [⟨19 30 44 53 0], ⟨0 0 0 0 1]];
  • icosidillic [⟨22 0 86 -8 111], ⟨0 1 -1 2 -1]];
  • vigintiduo [⟨22 35 51 62 0], ⟨0 0 0 0 1]];
  • mystery [⟨29 46 0 14 33 40], ⟨0 0 1 1 1 1]];
  • hemienneadecal [⟨38 0 28 -74 11], ⟨0 1 1 3 2]];

See also

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