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]] | Here is a list of some names that have been proposed for 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.) | ||
{{Todo|inline=1| update }} | |||
== One period per octave == | == One period per octave == | ||
* [[father]] [{{val| 1 0 4 }}, {{val| 0 1 -1}}]; | |||
** mother [{{val| 1 0 4 6 }}, {{val| 0 1 -1 -2}}]; | |||
** father [{{val| 1 0 4 -2 }}, {{val| 0 1 -1 3}}]; | |||
* [[mavila]] [{{val| 1 0 7 }}, {{val| 0 1 -3}}]; | |||
** [[pelogic]] [{{val| 1 0 7 9 }}, {{val| 0 1 -3 -4}}]; | |||
** [[armodue]] [{{val| 1 0 7 -5 }}, {{val| 0 1 -3 5}}]; | |||
** mavila [{{val| 1 0 7 20 }}, {{val| 0 1 -3 | |||
== Two periods per octave == | == Two periods per octave == | ||
* [[ | * [[srutal]] [{{val| 2 0 11 }}, {{val| 0 1 -2}}]; | ||
** pajara [{{val| 2 | ** [[pajara]] [{{val| 2 0 11 12 }}, {{val| 0 1 -2 -2}}]; | ||
*** pajaric [{{val| 2 | *** pajaric [{{val| 2 0 11 12 7 }}, {{val| 0 1 -2 -2 0}}]; | ||
*** pajarous [{{val| 2 | *** pajarous [{{val| 2 0 11 12 -9 }}, {{val| 0 1 -2 -2 5}}]; | ||
*** pajara [{{val| 2 | *** pajara [{{val| 2 0 11 12 26 }}, {{val| 0 1 -2 -2 -6}}]; | ||
** diaschismic [{{val| 2 | ** [[diaschismic]] [{{val| 2 0 11 31 }}, {{val| 0 1 -2 -8}}]; | ||
*** diaschismic [{{val| 2 | *** diaschismic [{{val| 2 0 11 31 45 55 }}, {{val| 0 1 -2 -8 -12 -15}}]; | ||
** keen [{{val| 2 | ** [[keen]] [{{val| 2 0 11 -23 }}, {{val| 0 1 -2 9}}]; | ||
* supersharp [{{val| 2 | * [[supersharp]] [{{val| 2 0 -5 }}, {{val| 0 1 3}}]; | ||
** octokaidecal [{{val| 2 | ** [[octokaidecal]] [{{val| 2 0 -5 -4 }}, {{val| 0 1 3 3}}]; | ||
* bipelog [{{val| 2 | * [[bipelog]] [{{val| 2 0 14 15 }}, {{val| 0 1 -3 -3}}]; | ||
* [[ | * [[injera]] [{{val| 2 0 -8 -7 }}, {{val| 0 1 4 4}}]; | ||
** injera [{{val| 2 | ** injera [{{val| 2 0 -8 -7 -12 }}, {{val| 0 1 4 4 6}}]; | ||
* [[ | * [[bischismic]] [{{val| 2 0 30 69 }}, {{val| 0 1 -8 -20}}]; | ||
* [[ | * [[shrutar]] [{{val| 2 1 9 -2 }}, {{val| 0 2 -4 7}}]; | ||
** shrutar [{{val| 2 | ** shrutar [{{val| 2 1 9 -2 8 }}, {{val| 0 2 -4 7 -1}}]; | ||
*** srutar [{{val| 2 | *** srutar [{{val| 2 1 9 -2 8 15 }}, {{val| 0 2 -4 7 -1 -7}}]; | ||
*** shrutar [{{val| 2 | *** shrutar [{{val| 2 1 9 -2 8 -10 }}, {{val| 0 2 -4 7 -1 16}}]; | ||
* [[ | * [[echidna]] [{{val| 2 1 9 2 }}, {{val| 0 3 -6 5}}]; | ||
** echidna [{{val| 2 1 9 2 12 }}, {{val| 0 3 -6 5 -7 }}]; | ** echidna [{{val| 2 1 9 2 12 }}, {{val| 0 3 -6 5 -7}}]; | ||
* [[ | * [[decimal]] [{{val| 2 0 3 4 }}, {{val| 0 2 1 1}}]; | ||
* | * semihemi [{{val| 2 0 -35 -15 -47 }}, {{val| 0 2 25 13 34}}]; | ||
* [[ | * [[lemba]] [{{val| 2 2 5 6 }}, {{val| 0 3 -1 -1}}]; | ||
* [[ | * [[hedgehog]] [{{val| 2 1 1 2 }}, {{val| 0 3 5 5}}]; | ||
* doublewide [{{val| 2 | * [[doublewide]] [{{val| 2 1 3 }}, {{val| 0 4 3}}]; | ||
** | ** doublewide [{{val| 2 1 3 4 }}, {{val| 0 4 3 3}}]; | ||
*** | *** doublewide [{{val| 2 1 3 4 8 }}, {{val| 0 4 3 3 -2}}]; | ||
* [[ | * [[sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15}}]; | ||
* hemiamity [{{val| 2 1 -1 13 13 }}, {{val| 0 5 13 -17 -14 }}]; | * hemiamity [{{val| 2 1 -1 13 13 }}, {{val| 0 5 13 -17 -14}}]; | ||
* wizard [{{val| 2 1 5 2 }}, {{val| 0 6 -1 10 }}]; | * [[wizard]] [{{val| 2 1 5 2 }}, {{val| 0 6 -1 10}}]; | ||
** wizard [{{val| 2 1 5 2 8 }}, {{val| 0 6 -1 10 -3 }}]; | ** wizard [{{val| 2 1 5 2 8 }}, {{val| 0 6 -1 10 -3}}]; | ||
* [[ | * [[unidec]] [{{val| 2 5 8 5 }}, {{val| 0 6 11 -2}}]; | ||
** unidec [{{val| 2 5 8 5 6 }}, {{val| 0 | ** unidec [{{val| 2 5 8 5 6 }}, {{val| 0 6 11 -2 -3}}]; | ||
*** hendec [{{val| 2 5 8 5 6 8 }}, {{val| 0 | *** hendec [{{val| 2 5 8 5 6 8 }}, {{val| 0 6 11 -2 -3 2}}]; | ||
* [[ | * [[harry]] [{{val| 2 4 7 7 }}, {{val| 0 6 17 10}}]; | ||
* vishnu [{{val| 2 4 5 }}, {{val| 0 | * [[vishnu]] [{{val| 2 4 5 }}, {{val| 0 7 3}}]; | ||
** vishnu [{{val| 2 4 5 10 }}, {{val| 0 | ** vishnu [{{val| 2 4 5 10 }}, {{val| 0 7 3 37}}]; | ||
* kwazy [{{val| 2 1 6 }}, {{val| 0 8 -5 }}]; | * [[kwazy]] [{{val| 2 1 6 }}, {{val| 0 8 -5}}]; | ||
** bisupermajor [{{val| 2 1 6 1 8 }}, {{val| 0 8 -5 17 -4 }}]; | ** [[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 == | == Three periods per octave == | ||
* [[ | * [[augmented (temperament)|augmented]] [{{val| 3 0 7 }}, {{val| 0 1 0}}]; | ||
** augene, tripletone [{{val| 3 | ** [[augene]], tripletone [{{val| 3 0 7 18 }}, {{val| 0 1 0 -2}}]; | ||
*** augene, tripletone [{{val| 3 | *** augene, tripletone [{{val| 3 0 7 18 20 }}, {{val| 0 1 0 -2 -2}}]; | ||
** august [{{val| 3 | ** [[august]] [{{val| 3 0 7 -1 }}, {{val| 0 1 0 2}}]; | ||
* misty [{{val| 3 | * [[misty]] [{{val| 3 0 26 }}, {{val| 0 1 -4}}]; | ||
** misty [{{val| 3 | ** misty [{{val| 3 0 26 56 }}, {{val| 0 1 -4 -10}}]; | ||
* term [{{val| 3 | * [[term (temperament)|term]] [{{val| 3 0 45 94 }}, {{val| 0 1 -8 -18}}]; | ||
* semiaug [{{val| 3 | * 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 [{{val| 3 5 7 | * [[ternary (temperament)|ternary]] [{{val| 3 5 7 0 }}, {{val| 0 0 0 1}}]; | ||
== Four or more periods per octave == | == Four or more periods per octave == | ||
* diminished [{{val| 4 | * [[diminished (temperament)|diminished]] [{{val| 4 0 3 }}, {{val| 0 1 1}}]; | ||
** diminished [{{val| 4 | ** diminished [{{val| 4 0 3 5 }}, {{val| 0 1 1 1}}]; | ||
*** diminished [{{val| 4 | *** diminished [{{val| 4 0 3 5 14 }}, {{val| 0 1 1 1 0}}]; | ||
*** demolished [{{val| 4 | *** demolished [{{val| 4 0 3 5 -5 }}, {{val| 0 1 1 1 3}}]; | ||
* blackwood [{{val| 5 8 | * [[blackwood]] [{{val| 5 8 0 }}, {{val| 0 0 1}}]; | ||
** blacksmith [{{val| 5 8 | ** [[blacksmith]] [{{val| 5 8 0 14 }}, {{val| 0 0 1 0}}]; | ||
* hexe [{{val| 6 | * [[hexe]] [{{val| 6 0 14 17 }}, {{val| 0 1 0 0}}]; | ||
* jamesbond [{{val| 7 11 16 | * [[jamesbond]] [{{val| 7 11 16 0 }}, {{val| 0 0 0 1}}]; | ||
** jamesbond [{{val| 7 11 16 | ** jamesbond [{{val| 7 11 16 0 24 }}, {{val| 0 0 0 1 0}}]; | ||
* whitewood [{{val| 7 11 | * [[whitewood]] [{{val| 7 11 0 }}, {{val| 0 0 1}}]; | ||
* octoid [{{val| 8 | * [[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 | ** ennealimmal [{{val| 9 1 1 12 }}, {{val| 0 2 3 2}}]; | ||
*** ennealimmal [{{val| 9 | *** 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 }}, {{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 | * [[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 | ** compton, waage [{{val| 12 19 0 -22 }}, {{val| 0 0 1 2}}]; | ||
*** compton, duodecimal [{{val| 12 19 | *** compton, duodecimal [{{val| 12 19 0 -22 -42 }}, {{val| 0 0 1 2 3}}]; | ||
* duodecim [{{val| 12 19 28 34 | * duodecim [{{val| 12 19 28 34 0 }}, {{val| 0 0 0 0 1}}]; | ||
* atomic [{{val| 12 | * [[atomic]] [{{val| 12 0 161 }}, {{val| 0 1 -7}}]; | ||
* hemiennealimmal [{{val| 18 | * 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 | ** enneadecal [{{val| 19 0 14 -37 }}, {{val| 0 1 1 3}}]; | ||
* undevigintone [{{val| 19 30 44 53 | * undevigintone [{{val| 19 30 44 53 0 }}, {{val| 0 0 0 0 1}}]; | ||
* icosidillic [{{val| 22 | * icosidillic [{{val| 22 0 86 -8 111 }}, {{val| 0 1 -1 2 -1}}]; | ||
* vigintiduo [{{val| 22 35 51 62 | * vigintiduo [{{val| 22 35 51 62 0 }}, {{val| 0 0 0 0 1}}]; | ||
* mystery [{{val| 29 46 | * [[mystery]] [{{val| 29 46 0 14 33 40 }}, {{val| 0 0 1 1 1 1}}]; | ||
* hemienneadecal [{{val| 38 | * hemienneadecal [{{val| 38 0 28 -74 11 }}, {{val| 0 1 1 3 2}}]; | ||
[[Category: | == See also == | ||
* [[Pergen|Pergen names]] | |||
* [[Temperament naming]] | |||
[[Category:Lists]] | |||
[[Category:Temperament naming]] | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] |