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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 [[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 (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.)


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* [[mavila]] [{{val| 1 0 7 }}, {{val| 0 1 -3}}];
* [[mavila]] [{{val| 1 0 7 }}, {{val| 0 1 -3}}];
** [[pelogic]] [{{val| 1 0 7 9 }}, {{val| 0 1 -3 -4}}];
** [[pelogic]] [{{val| 1 0 7 9 }}, {{val| 0 1 -3 -4}}];
** [[armodue]] [{{val| 1 0 7 -5 }}, {{val| 0 1 -3 5}}];
** [[armodue (temperament)|armodue]] [{{val| 1 0 7 -5 }}, {{val| 0 1 -3 5}}];
** mavila [{{val| 1 0 7 20 }}, {{val| 0 1 -3 -11}}];
** mavila [{{val| 1 0 7 20 }}, {{val| 0 1 -3 -11}}];
** hornbostel [{{val| 1 0 7 -16 }}, {{val| 0 1 -3 12}}];
** hornbostel [{{val| 1 0 7 -16 }}, {{val| 0 1 -3 12}}];
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*** dominant [{{val| 1 0 -4 6 13 }}, {{val| 0 1 4 -2 -6}}];
*** 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}}];
*** domineering [{{val| 1 0 -4 6 -6 }}, {{val| 0 1 4 -2 6}}];
**** dominatrix [{{val| 1 0 -4 6 -6 -1 }}, {{val| 0 1 4 -2 6 3}}];
** [[sharptone]] [{{val| 1 0 -4 -2 }}, {{val| 0 1 4 3}}];
** [[sharptone]] [{{val| 1 0 -4 -2 }}, {{val| 0 1 4 3}}];
*** meanertone [{{val| 1 0 -4 -2 5 }}, {{val| 0 1 4 3 -1}}];
*** meanertone [{{val| 1 0 -4 -2 5 }}, {{val| 0 1 4 3 -1}}];
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*** meantone [{{val| 1 0 -4 -13 -25 }}, {{val| 0 1 4 10 18}}];
*** meantone [{{val| 1 0 -4 -13 -25 }}, {{val| 0 1 4 10 18}}];
* [[avila]] [{{val| 1 0 -7 }}, {{val| 0 1 6}}];
* [[avila]] [{{val| 1 0 -7 }}, {{val| 0 1 6}}];
* [[helmholtz]] [{{val| 1 0 15 }}, {{val| 0 1 -8}}];
* [[helmholtz (temperament)|helmholtz]] [{{val| 1 0 15 }}, {{val| 0 1 -8}}];
** schism [{{val| 1 0 15 6 }}, {{val| 0 1 -8 -2}}];
** schism [{{val| 1 0 15 6 }}, {{val| 0 1 -8 -2}}];
** garibaldi [{{val| 1 0 15 25 }}, {{val| 0 1 -8 -14}}];
** garibaldi [{{val| 1 0 15 25 }}, {{val| 0 1 -8 -14}}];
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* [[counterschismic]] [{{val| 1 0 -69 }}, {{val| 0 1 45}}];
* [[counterschismic]] [{{val| 1 0 -69 }}, {{val| 0 1 45}}];
* [[dicot]] [{{val| 1 1 2 }}, {{val| 0 2 1}}];
* [[dicot]] [{{val| 1 1 2 }}, {{val| 0 2 1}}];
** dicot [{{val| 1 1 2 2 }}, {{val| 0 2 1 3}}];
** [[mujannabic]] [{{val| 1 1 2 2 }}, {{val| 0 2 1 3}}];
** [[sharp]] [{{val| 1 1 2 1 }}, {{val| 0 2 1 6}}];
** [[sharpie]] [{{val| 1 1 2 1 }}, {{val| 0 2 1 6}}];
* [[mohajira]], semififths [{{val| 1 1 0 6 }}, {{val| 0 2 8 -11}}];
* [[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}}];
** mohajira [{{val| 1 1 0 6 2 }}, {{val| 0 2 8 -11 5}}];
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* [[triton]] [{{val| 1 0 6 7 }}, {{val| 0 3 -7 -8}}];
* [[triton]] [{{val| 1 0 6 7 }}, {{val| 0 3 -7 -8}}];
* [[liese]], gawel [{{val| 1 0 -4 -3 }}, {{val| 0 3 12 11}}];
* [[liese]], gawel [{{val| 1 0 -4 -3 }}, {{val| 0 3 12 11}}];
* [[tricot]] [{{val| 1 0 -13 }}, {{val| 0 3 29}}];
* [[alphatricot]] [{{val| 1 0 -13 }}, {{val| 0 3 29}}];
* [[tetracot]] [{{val| 1 1 1 }}, {{val| 0 4 9}}];
* [[tetracot]] [{{val| 1 1 1 }}, {{val| 0 4 9}}];
** [[monkey]] [{{val| 1 1 1 5 }}, {{val| 0 4 9 -15}}];
** [[monkey]] [{{val| 1 1 1 5 }}, {{val| 0 4 9 -15}}];
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* [[gammic]] [{{val| 1 1 2 }}, {{val| 0 20 11}}];
* [[gammic]] [{{val| 1 1 2 }}, {{val| 0 20 11}}];
** gammic [{{val| 1 1 2 0 }}, {{val| 0 20 11 96}}];
** gammic [{{val| 1 1 2 0 }}, {{val| 0 20 11 96}}];
* [[neptune]] [{{val| 1 21 13 13 }}, {{val| 0 40 22 21}}];
* [[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}}];
* [[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 }}, {{val| 0 13 -3 11 5}}];
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* [[senior]] [{{val| 1 11 19 }}, {{val| 0 35 62}}];
* [[senior]] [{{val| 1 11 19 }}, {{val| 0 35 62}}];
* [[raider]] [{{val| 1 28 73 }}, {{val| 0 37 99}}];
* [[raider]] [{{val| 1 28 73 }}, {{val| 0 37 99}}];
* [[supermajor]] [{{val| 1 15 19 30 }}, {{val| 0 37 46 75}}];
* [[supermajor (temperament)|supermajor]] [{{val| 1 15 19 30 }}, {{val| 0 37 46 75}}];
* [[quasiorwell]] [{{val| 1 31 0 9 }}, {{val| 0 38 -3 8}}];
* [[quasiorwell]] [{{val| 1 31 0 9 }}, {{val| 0 38 -3 8}}];
* semigamera [{{val| 1 6 10 3 12 }}, {{val| 0 46 80 2 89}}];
* semigamera [{{val| 1 6 10 3 12 }}, {{val| 0 46 80 2 89}}];
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*** demolished [{{val| 4 0 3 5 -5 }}, {{val| 0 1 1 1 3}}];
*** 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 }}, {{val| 0 0 1}}];
** [[blacksmith]] [{{val| 5 8 0 14 }}, {{val| 0 0 1 0}}];
** blackwood [{{val| 5 8 0 14 }}, {{val| 0 0 1 0}}];
* [[hexe]] [{{val| 6 0 14 17 }}, {{val| 0 1 0 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 }}, {{val| 0 0 0 1}}];
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** decoid [{{val| 10 0 47 36 98 }}, {{val| 0 2 -3 -1 -8}}];
** 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}}];
*** decoid [{{val| 10 0 47 36 98 37 }}, {{val| 0 2 -3 -1 -8 0}}];
* [[hendecatonic]] [{{val| 11 0 43 -4 }}, {{val| 0 1 -1 2}}];
* [[hendecatonic (temperament)|hendecatonic]] [{{val| 11 0 43 -4 }}, {{val| 0 1 -1 2}}];
* [[catler]] [{{val| 12 19 28 0 }}, {{val| 0 0 0 1}}];
* [[catler]] [{{val| 12 19 28 0 }}, {{val| 0 0 0 1}}];
* [[compton]] [{{val| 12 19 0 }}, {{val| 0 0 1}}];
* [[compton]] [{{val| 12 19 0 }}, {{val| 0 0 1}}];
Line 308: Line 307:


== See also ==
== See also ==
* [[Pergen|Pergen names]]
* [[Kite's thoughts on pergens]]
* [[Temperament naming]]
* [[Temperament naming]]


[[Category:Lists]]
[[Category:Lists of temperaments]]
[[Category:Temperament naming]]
[[Category:Temperament naming]]
[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]
[[Category:Rank 2]]
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