Proposed names for rank-2 temperaments: Difference between revisions

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

See also [[pergen|pergen names]].

=One period per octave=

* father [<1 2 2], <0 -1 1]>

** mother [<1 2 2 2], <0 -1 1 2]>

** father [<1 2 2 4], <0 -1 1 -3]>

* mavila [<1 2 1], <0 -1 3]>

** pelogic [<1 2 1 1], <0 -1 3 4]>

** armodue [<1 2 1 5], <0 -1 3 -5]>

** mavila [<1 2 1 -2], <0 -1 3 11]>

** hornbostel [<1 2 1 8], <0 -1 3 -12]>

* [[Meantone_family|meantone]] [<1 2 4], <0 -1 -4]>

** dominant [<1 2 4 2], <0 -1 -4 2]>

*** arnold [<1 2 4 2 3], <0 -1 -4 2 1]>

*** dominant [<1 2 4 2 1], <0 -1 -4 2 6]>

*** domineering [<1 2 4 2 6], <0 -1 -4 2 -6]>

**** dominatrix [<1 2 4 2 6 5], <0 -1 -4 2 -6 -3]>

** sharptone [<1 2 4 4], <0 -1 -4 -3]>

*** meanertone [<1 2 4 4 3], <0 -1 -4 -3 1]>

** flattone [<1 2 4 -1], <0 -1 -4 9]>

*** flattone [<1 2 4 -1 6], <0 -1 -4 9 -6]>

** meantone [<1 2 4 7], <0 -1 -4 -10]>

*** meanenneadecal [<1 2 4 7 6], <0 -1 -4 -10 -6]>

*** meanpop [<1 2 4 7 -2], <0 -1 -4 -10 13]>

*** meantone [<1 2 4 7 11], <0 -1 -4 -10 -18]>

* [[Schismatic_family|helmholtz]] [<1 2 -1], <0 -1 8]>

** schism [<1 2 -1 2], <0 -1 8 2]>

** garibaldi [<1 2 -1 -3], <0 -1 8 14]>

*** cassandra [<1 2 -1 -3 13], <0 -1 8 14 -23]>

**** cassandra [<1 2 -1 -3 13 12], <0 -1 8 14 -23 -20]>

*** andromeda [<1 2 -1 -3 -4], <0 -1 8 14 18]>

**** andromeda [<1 2 -1 -3 -4 -5], <0 -1 8 14 18 21]>

** grackle [<1 2 -1 -8], <0 -1 8 26]>

** pontiac, infraschismic [<1 2 -1 19], <0 -1 8 -39]>

* superpyth [<1 2 6], <0 -1 -9]>

** superpyth [<1 2 6 2], <0 -1 -9 2]>

*** superpyth [<1 2 6 2 10], <0 -1 -9 2 -16]>

*** suprapyth [<1 2 6 2 1], <0 -1 -9 2 6]>

* quasisuper [<1 2 -3 2], <0 -1 13 2]>

* leapday [<1 2 11 9 8 7], <0 -1 -21 -15 -11 -8]>

* kwai [<1 2 16 14], <0 -1 -33 -27]>

** kwai [<1 2 16 14 -4], <0 -1 -33 -27 18]>

* undecental [<1 2 -13 -15], <0 -1 37 43]>

* counterschismic [<1 2 21], <0 -1 -45]>

* [[Dicot_family|dicot]] [<1 1 2], <0 2 1]>

** dicot [<1 1 2 2], <0 2 1 3]>

** sharp [<1 1 2 1], <0 2 1 6]>

* [[Meantone_family#Mohajira|mohajira]], semififths [<1 1 0 6], <0 2 8 -11]>

** mohajira <1 1 0 6 2], <0 2 8 -11 5]>

** [[Meantone_family|maqamic]] [<1 1 0 4 2], <0 2 8 -4 5]>

*** maqamic <1 1 0 4 2 4], <0 2 8 -4 5 -1]>

* beatles [<1 1 5 4], <0 2 -9 -4]>

* [[Turkish_maqam_music_temperaments|karadeniz]] [<1 1 7 11 2], <0 2 -16 -28 5]>

* [[Breedsmic_temperaments#Hemififths|hemififths]] [<1 1 -5 -1], <0 2 25 13]>

* [[Bug_family|bug]] [<1 2 3], <0 -2 -3]>

** beep [<1 2 3 3], <0 -2 -3 -1]>

*** pentoid [<1 2 3 3 3], <0 -2 -3 -1 2]>

* superpelog [<1 2 1 3], <0 -2 6 -1]>

* [[Meantone_family#Godzilla|godzilla]] [<1 2 4 3], <0 -2 -8 -1]>

* monzismic [<1 2 10], <0 -2 -37]>

* [[Gamelismic_clan#Gidorah|gidorah]] [<1 1 2 3], <0 3 2 -1]>

* penta [<1 1 2 2], <0 3 2 4]>

* [[Laconic_Family|laconic]] [<1 1 1], <0 3 7]>

** [[Gamelismic_clan#Gorgo|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|>

* [[Meantone_family#Mothra|mothra]], cynder [<1 1 0 3], <0 3 12 -1]>

** mothra, cynder [<1 1 0 3 5], <0 3 12 -1 -8]>

* [[Gamelismic_clan#Rodan|rodan]] [<1 1 -1 3], <0 3 17 -1]>

** [[Gamelismic_clan#Rodan|rodan]][<1 1 -1 3 6], <0 3 17 -1 -13]>

*** [[Gamelismic_clan#Rodan|rodan]] [<1 1 -1 3 6 8], <0 3 17 -1 -13 -22]>

*** [[Gamelismic_clan#Rodan|aerodactyl]] [<1 1 -1 3 6 -1], <0 3 17 -1 -13 24]>

* [[Schismatic_family#Guiron|guiron]] [<1 1 7 3], <0 3 -24 -1]>

* [[Porcupine_family|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 3 -1 -1], <0 -3 7 8]>

* [[Meantone_family#liese|liese]], gawel [<1 3 8 8], <0 -3 -12 -11]>

* tricot [<1 3 16], <0 -3 -29]>

* [[Tetracot_family|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]>

* [[Schismatic_family|sesquiquartififths]] [<1 1 7 5], <0 4 -32 -15]>

* semihemififths [<1 1 -5 -1 8], <0 4 50 26 -31]>

* [[Dicot_family|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]>

* [[Meantone_family#Squares|squares]] [<1 3 8 6], <0 -4 -16 -9]>

* [[Magic_family|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]>

* [[Ragismic_microtemperaments|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]>

* [[Kleismic_family|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]>

** [[Gamelismic_clan#Miracle|miracle]][<1 1 3 3], <0 6 -7 -2]>

*** miracle [<1 1 3 3 2], <0 6 -7 -2 15]>

* marvo [<1 -1 -5 -17], <0 6 17 46]>

* [[Porcupine_family|nautilus]] [<1 2 3 3], <0 -6 -10 -3]>

* [[Semicomma_family|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]>

**** doublethink [<1 0 3 1 3 2], <0 14 -6 16 4 15]>

* sensi [<1 -1 -1], <0 7 9]>

** [[Starling_temperaments#Sensi temperament|sensi]] [<1 -1 -1 -2], <0 7 9 13]>

*** [[Starling_temperaments#Sensi temperament-Sensor|sensor]] [<1 -1 -1 -2 9], <0 7 9 13 -15]>

**** sensor [<1 -1 -1 -2 9 0], <0 7 9 13 -15 10]>

* [[Starling_temperaments#Sensi temperament-Sensis|sensis]] [<1 6 8 11 6| <0 -7 -9 -13 -4|] ?

** sensis [<1 6 8 11 6 10| <0 -7 -9 -13 -4 -10|] ?

* [[Starling_temperaments#Sensi temperament-Sensus|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]>

* [[Tetracot_family#Octacot|octacot]] [<1 1 1 2], <0 8 18 11]>

* [[Würschmidt_family|würschmidt]] [<1 -1 2], <0 8 1]>

** worschmidt [<1 -1 2 7], <0 8 1 -13]>

** wurschmidt [<1 -1 2 -3], <0 8 1 18]>

** whirrschmidt [<1 7 3 38], <0 -8 -1 -52]>

* valentine [<1 1 2], <0 9 5]>

** [[Starling_temperaments#Valentine temperament|valentine]][<1 1 2 3], <0 9 5 -3]>

*** valentine [<1 1 2 3 3], <0 9 5 -3 7]>

**** [[Starling_temperaments#Valentine temperament-Valentino|valentino]] [<1 1 2 3 3 5], <0 9 5 -3 7 -20]>

**** [[Starling_temperaments#Valentine temperament-Dwynwen|dwynwen]] [<1 1 2 3 3 2], <0 9 5 -3 7 26]>

**** [[Starling_temperaments#Valentine temperament-Lupercalia|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]>

* [[Gamelismic_clan#Superkleismic|superkleismic]] [<1 4 5 2], <0 -9 -10 3]>

** superkleismic [<1 4 5 2 4], <0 -9 -10 3 -2]>

* [[Starling_temperaments#Myna temperament|myna]] [<1 -1 0 1], <0 10 9 7]>

** myna [<1 -1 0 1 -3], <0 10 9 7 25]>

*** myna [<1 -1 0 1 -3 5], <0 10 9 7 25 -5]>

* [[Sycamore_family|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]>

* [[Starling_temperaments#Nusecond temperament|nusecond]] [<1 3 4 5], <0 -11 -13 -17]>

* quartonic [<1 2 3 3], <0 -11 -18 -5]>

* [[Kleismic_family|hemikleismic]] [<1 0 1 4], <0 12 10 -9]>

* [[Kleismic_family|clyde]] [<1 6 6 12], <0 -12 -10 -25]>

* bohpier [<1 0 0 0], <0 13 19 23]>

* [[Gammic_family|gammic]] [<1 1 2], <0 20 11]>

** gammic [<1 1 2 0], <0 20 11 96]>

* [[Gammic_family|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]>

* [[Ragismic_microtemperaments|parakleismic]] [<1 5 6], <0 -13 -14]>

** parakleismic [<1 5 6 12], <0 -13 -14 -35]>

* fortune [<1 -1 11], <0 14 -47]>

* hemithirds, luna [<1 4 2], <0 -15 2]>

** [[Gamelismic_clan#Hemithirds|hemithirds]][<1 4 2 2], <0 -15 2 5]>

*** [[Gamelismic_clan#Hemithirds|hemithirds]] [<1 4 2 2 7], <0 -15 2 5 -22]>

* [[Wuerschmidt_family|hemiwürschmidt]] [<1 -1 2 2], <0 16 2 5]>

** hemiwürschmidt [<1 -1 2 2 -3], <0 16 2 5 40]>

* semisept [<1 -5 0 -3], <0 17 6 15]>

* vavoom [<1 0 4], <0 17 -18]>

* [[Minortonic_family|minortone]] [<1 -1 -3], <0 17 35]>

** [[Minortonic_family#Mitonic|mitonic]] [<1 -1 -3 6], <0 17 35 -21]>

* [[Starling_temperaments|casablanca]] [<1 -7 -4 1], <0 19 14 4]>

** [[Starling_temperaments#Casablanca temperament|casablanca]] [<1 -7 -4 1 3], <0 19 14 4 1]>

* [[Breedsmic_temperaments|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]>

* [[Turkish_maqam_music_temperaments|yarman]] [<1 2 3 4 4], <0 -33 -54 -95 -43]>

* senior [<1 11 19], <0 -35 -62]>

* raider [<1 -9 -26], <0 37 99]>

* supermajor [<1 15 19 30], <0 -37 -46 -75]>

* [[Breedsmic_temperaments|quasiorwell]] [<1 -7 3 1], <0 38 -3 8]>

* semigamera [<1 6 10 3 12], <0 -46 -80 -2 -89]>

* gross [<1 -2 4], <0 47 -22]>

* pirate [<1 -6 0], <0 49 15]>

* egads [<1 15 16], <0 -51 -52]>

* enipucrop [<1 2 2], <0 -3 2]>

=Two periods per octave=

* [[Diaschismic_family|srutal]] [<2 3 5], <0 1 -2]>

** pajara [<2 3 5 6], <0 1 -2 -2]>

*** pajaric [<2 3 5 6 7], <0 1 -2 -2 0]>

*** pajarous [<2 3 5 6 6], <0 1 -2 -2 5]>

*** pajara [<2 3 5 6 8], <0 1 -2 -2 -6]>

** diaschismic [<2 3 5 7], <0 1 -2 -8]>

*** diaschismic [<2 3 5 7 9 10], <0 1 -2 -8 -12 -15]>

** keen [<2 3 5 4], <0 1 -2 9]>

* supersharp [<2 3 4], <0 1 3]>

** octokaidecal [<2 3 4 5], <0 1 3 3]>

* bipelog [<2 3 5 6], <0 1 -3 -3]>

* [[Meantone_family|injera]] [<2 3 4 5], <0 1 4 4]>

** injera [<2 3 4 5 6], <0 1 4 4 6]>

* [[Schismatic_family|bischismic]] [<2 3 6 9], <0 1 -8 -20]>

* [[Diaschismic_family|shrutar]] [<2 3 5 5], <0 2 -4 7]>

** shrutar [<2 3 5 5 7], <0 2 -4 7 -1]>

*** srutar [<2 3 5 5 7 8], <0 2 -4 7 -1 -7]>

*** shrutar [<2 3 5 5 7 6], <0 2 -4 7 -1 16]>

* [[Diaschismic_family|echidna]] [<2 1 9 2], <0 3 -6 5]>

** echidna [<2 1 9 2 12], <0 3 -6 5 -7]>

* [[Dicot_family|decimal]] [<2 4 5 6], <0 -2 -1 -1]>

* [[Breedsmic_temperaments#Semihemi|semihemi]] [<2 4 15 11 21], <0 -2 -25 -13 -34]>

* [[Gamelismic_clan#Lemba|lemba]] [<2 2 5 6], <0 3 -1 -1]>

* [[Porcupine_family|hedgehog]] [<2 4 6 7], <0 -3 -5 -5]>

* doublewide [<2 5 6], <0 -4 -3]>

** [[Jubilismic_clan|doublewide]][<2 5 6 7], <0 -4 -3 -3]>

*** [[Jubilismic_clan|doublewide]] [<2 5 6 7 6], <0 -4 -3 -3 2]>

* [[Schismatic_family|sesquiquartififths]] [<2 2 14 10], <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]>

* [[Gamelismic_clan#Unidec|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]>

* [[Breedsmic_temperaments|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]>

** bisupermajor [<2 1 6 1 8], <0 8 -5 17 -4]>

* semiparakleismic [<2 -3 -2 -11 -4], <0 13 14 35 23]>

* hemigamera [<2 12 20 6], <0 -23 -40 -1]>

** hemigamera [<2 12 20 6 5], <0 -23 -40 -1 5]>

* abigail [<2 7 13 -1 1 -2], <0 -11 -24 19 17 27]>

=Three periods per octave=

* [[Augmented_family|augmented]] [<3 5 7], <0 -1 0]>

** augene, tripletone [<3 5 7 8], <0 -1 0 2]>

*** augene, tripletone [<3 5 7 8 10], <0 -1 0 2 2]>

** august [<3 5 7 9], <0 -1 0 -2]>

* misty [<3 5 6], <0 -1 4]>

** misty [<3 5 6 6], <0 -1 4 10]>

* term [<3 5 5 4], <0 -1 8 18]>

* semiaug [<3 5 7 9], <0 -2 0 -5]>

* [[Kleismic_family|tritikleismic]] [<3 6 8 8], <0 -6 -5 2]>

* [[Mutt_family|mutt]] [<3 5 7 8], <0 -7 -1 12]>

* ternary [<3 5 7 8], <3 5 7 9]>

=Four or more periods per octave=

* diminished [<4 6 9], <0 1 1]>

** diminished [<4 6 9 11], <0 1 1 1]>

*** diminished [<4 6 9 11 14], <0 1 1 1 0]>

*** demolished [<4 6 9 11 13], <0 1 1 1 3]>

* blackwood [<5 8 12], <0 0 -1]>

** blacksmith [<5 8 12 14], <0 0 -1 0]>

* hexe [<6 10 14 17], <0 -1 0 0]>

* jamesbond [<7 11 16 20], <0 0 0 -1]>

** jamesbond [<7 11 16 20 24], <0 0 0 -1 0]>

* whitewood [<7 11 16], <0 0 1]>

* octoid [<8 13 19 23 28], <0 -3 -4 -5 -3]>

* [[Ragismic_microtemperaments|ennealimmal]] [<9 15 22], <0 -2 -3]>

** ennealimmal [<9 15 22 26], <0 -2 -3 -2]>

*** ennealimmal [<9 15 22 26 37], <0 -2 -3 -2 -16]>

* [[Breedsmic_temperaments|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 17 26 30], <0 1 -1 2]>

* [[Pythagorean_family|catler]] [<12 19 28 34], <0 0 0 -1]>

* [[Pythagorean_family|compton]] [<12 19 28], <0 0 -1]>

** compton, waage [<12 19 28 34], <0 0 -1 -2]>

*** compton, duodecimal [<12 19 28 34 42], <0 0 -1 -2 -3]>

* duodecim [<12 19 28 34 42], <0 0 0 0 -1]>

* atomic [<12 19 28], <0 1 -7]>

* hemiennealimmal [<18 28 41 50 62], <0 2 3 2 1]>

* [[Ragismic_microtemperaments|enneadecal]] [<19 30 44], <0 1 1]>

** enneadecal [<19 30 44 53], <0 1 1 3]>

* undevigintone [<19 30 44 53 66], <0 0 0 0 -1]>

* icosidillic [<22 35 51 62 76], <0 -1 1 -2 1]>

* vigintiduo [<22 35 51 62 76], <0 0 0 0 1]>

* mystery [<29 46 67 81 100 107], <0 0 1 1 1 1]>

* hemienneadecal [<38 60 88 106 131], <0 1 1 3 2]>

[[Category:list]]

[[Category:project]]

[[Category:proposal]]

[[Category:rank_2]]

[[Category:temperament]]

[[Category:theory]]