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 [[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.)
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|prime interval]]s (2 3 5 etc.)


See also [[pergen|pergen names]].
See also [[pergen|pergen names]].


=One period per octave=
== One period per octave ==
* father [<1 2 2], <0 -1 1]>
* father [{{val| 1 2 2 }}, {{val| 0 -1 1 }}];
** mother [<1 2 2 2], <0 -1 1 2]>
** mother [{{val| 1 2 2 2 }}, {{val| 0 -1 1 2 }}];
** father [<1 2 2 4], <0 -1 1 -3]>
** father [{{val| 1 2 2 4 }}, {{val| 0 -1 1 -3 }}];
* mavila [<1 2 1], <0 -1 3]>
* mavila [{{val| 1 2 1 }}, {{val| 0 -1 3 }}];
** pelogic [<1 2 1 1], <0 -1 3 4]>
** pelogic [{{val| 1 2 1 1 }}, {{val| 0 -1 3 4 }}];
** armodue [<1 2 1 5], <0 -1 3 -5]>
** armodue [{{val| 1 2 1 5 }}, {{val| 0 -1 3 -5 }}];
** mavila [<1 2 1 -2], <0 -1 3 11]>
** mavila [{{val| 1 2 1 -2 }}, {{val| 0 -1 3 11 }}];
** hornbostel [<1 2 1 8], <0 -1 3 -12]>
** hornbostel [{{val| 1 2 1 8 }}, {{val| 0 -1 3 -12 }}];
* [[Meantone_family|meantone]] [<1 2 4], <0 -1 -4]>
* [[Meantone_family|meantone]] [{{val| 1 2 4 }}, {{val| 0 -1 -4 }}];
** dominant [<1 2 4 2], <0 -1 -4 2]>
** dominant [{{val| 1 2 4 2 }}, {{val| 0 -1 -4 2 }}];
*** arnold [<1 2 4 2 3], <0 -1 -4 2 1]>
*** arnold [{{val| 1 2 4 2 3 }}, {{val| 0 -1 -4 2 1 }}];
*** dominant [<1 2 4 2 1], <0 -1 -4 2 6]>
*** dominant [{{val| 1 2 4 2 1 }}, {{val| 0 -1 -4 2 6 }}];
*** domineering [<1 2 4 2 6], <0 -1 -4 2 -6]>
*** domineering [{{val| 1 2 4 2 6 }}, {{val| 0 -1 -4 2 -6 }}];
**** dominatrix [<1 2 4 2 6 5], <0 -1 -4 2 -6 -3]>
**** dominatrix [{{val| 1 2 4 2 6 5 }}, {{val| 0 -1 -4 2 -6 -3 }}];
** sharptone [<1 2 4 4], <0 -1 -4 -3]>
** sharptone [{{val| 1 2 4 4 }}, {{val| 0 -1 -4 -3 }}];
*** meanertone [<1 2 4 4 3], <0 -1 -4 -3 1]>
*** meanertone [{{val| 1 2 4 4 3 }}, {{val| 0 -1 -4 -3 1 }}];
** flattone [<1 2 4 -1], <0 -1 -4 9]>
** flattone [{{val| 1 2 4 -1 }}, {{val| 0 -1 -4 9 }}];
*** flattone [<1 2 4 -1 6], <0 -1 -4 9 -6]>
*** flattone [{{val| 1 2 4 -1 6 }}, {{val| 0 -1 -4 9 -6 }}];
** meantone [<1 2 4 7], <0 -1 -4 -10]>
** meantone [{{val| 1 2 4 7 }}, {{val| 0 -1 -4 -10 }}];
*** meanenneadecal [<1 2 4 7 6], <0 -1 -4 -10 -6]>
*** meanenneadecal [{{val| 1 2 4 7 6 }}, {{val| 0 -1 -4 -10 -6 }}];
*** meanpop [<1 2 4 7 -2], <0 -1 -4 -10 13]>
*** meanpop [{{val| 1 2 4 7 -2 }}, {{val| 0 -1 -4 -10 13 }}];
*** meantone [<1 2 4 7 11], <0 -1 -4 -10 -18]>
*** meantone [{{val| 1 2 4 7 11 }}, {{val| 0 -1 -4 -10 -18 }}];
* [[Schismatic_family|helmholtz]] [<1 2 -1], <0 -1 8]>
* [[Schismatic_family|helmholtz]] [{{val| 1 2 -1 }}, {{val| 0 -1 8 }}];
** schism [<1 2 -1 2], <0 -1 8 2]>
** schism [{{val| 1 2 -1 2 }}, {{val| 0 -1 8 2 }}];
** garibaldi [<1 2 -1 -3], <0 -1 8 14]>
** garibaldi [{{val| 1 2 -1 -3 }}, {{val| 0 -1 8 14 }}];
*** cassandra [<1 2 -1 -3 13], <0 -1 8 14 -23]>
*** cassandra [{{val| 1 2 -1 -3 13 }}, {{val| 0 -1 8 14 -23 }}];
**** cassandra [<1 2 -1 -3 13 12], <0 -1 8 14 -23 -20]>
**** cassandra [{{val| 1 2 -1 -3 13 12 }}, {{val| 0 -1 8 14 -23 -20 }}];
*** andromeda [<1 2 -1 -3 -4], <0 -1 8 14 18]>
*** andromeda [{{val| 1 2 -1 -3 -4 }}, {{val| 0 -1 8 14 18 }}];
**** andromeda [<1 2 -1 -3 -4 -5], <0 -1 8 14 18 21]>
**** andromeda [{{val| 1 2 -1 -3 -4 -5 }}, {{val| 0 -1 8 14 18 21 }}];
** grackle [<1 2 -1 -8], <0 -1 8 26]>
** grackle [{{val| 1 2 -1 -8 }}, {{val| 0 -1 8 26 }}];
** pontiac, infraschismic [<1 2 -1 19], <0 -1 8 -39]>
** pontiac, infraschismic [{{val| 1 2 -1 19 }}, {{val| 0 -1 8 -39 }}];
* superpyth [<1 2 6], <0 -1 -9]>
* superpyth [{{val| 1 2 6 }}, {{val| 0 -1 -9 }}];
** superpyth [<1 2 6 2], <0 -1 -9 2]>
** superpyth [{{val| 1 2 6 2 }}, {{val| 0 -1 -9 2 }}];
*** superpyth [<1 2 6 2 10], <0 -1 -9 2 -16]>
*** superpyth [{{val| 1 2 6 2 10 }}, {{val| 0 -1 -9 2 -16 }}];
*** suprapyth [<1 2 6 2 1], <0 -1 -9 2 6]>
*** suprapyth [{{val| 1 2 6 2 1 }}, {{val| 0 -1 -9 2 6 }}];
* quasisuper [<1 2 -3 2], <0 -1 13 2]>
* quasisuper [{{val| 1 2 -3 2 }}, {{val| 0 -1 13 2 }}];
* leapday [<1 2 11 9 8 7], <0 -1 -21 -15 -11 -8]>
* leapday [{{val| 1 2 11 9 8 7 }}, {{val| 0 -1 -21 -15 -11 -8 }}];
* kwai [<1 2 16 14], <0 -1 -33 -27]>
* kwai [{{val| 1 2 16 14 }}, {{val| 0 -1 -33 -27 }}];
** kwai [<1 2 16 14 -4], <0 -1 -33 -27 18]>
** kwai [{{val| 1 2 16 14 -4 }}, {{val| 0 -1 -33 -27 18 }}];
* undecental [<1 2 -13 -15], <0 -1 37 43]>
* undecental [{{val| 1 2 -13 -15 }}, {{val| 0 -1 37 43 }}];
* counterschismic [<1 2 21], <0 -1 -45]>
* counterschismic [{{val| 1 2 21 }}, {{val| 0 -1 -45 }}];
* [[Dicot_family|dicot]] [<1 1 2], <0 2 1]>
* [[Dicot_family|dicot]] [{{val| 1 1 2 }}, {{val| 0 2 1 }}];
** dicot [<1 1 2 2], <0 2 1 3]>
** dicot [{{val| 1 1 2 2 }}, {{val| 0 2 1 3 }}];
** sharp [<1 1 2 1], <0 2 1 6]>
** sharp [{{val| 1 1 2 1 }}, {{val| 0 2 1 6 }}];
* [[Meantone_family#Mohajira|mohajira]], semififths [<1 1 0 6], <0 2 8 -11]>
* [[Meantone_family#Mohajira|mohajira]], semififths [{{val| 1 1 0 6 }}, {{val| 0 2 8 -11 }}];
** mohajira <1 1 0 6 2], <0 2 8 -11 5]>
** mohajira {{val| 1 1 0 6 2 }}, {{val| 0 2 8 -11 5 }}];
** [[Meantone_family|maqamic]] [<1 1 0 4 2], <0 2 8 -4 5]>
** [[Meantone_family|maqamic]] [{{val| 1 1 0 4 2 }}, {{val| 0 2 8 -4 5 }}];
*** maqamic <1 1 0 4 2 4], <0 2 8 -4 5 -1]>
*** maqamic {{val| 1 1 0 4 2 4 }}, {{val| 0 2 8 -4 5 -1 }}];
* beatles [<1 1 5 4], <0 2 -9 -4]>
* beatles [{{val| 1 1 5 4 }}, {{val| 0 2 -9 -4 }}];
* [[Turkish_maqam_music_temperaments|karadeniz]] [<1 1 7 11 2], <0 2 -16 -28 5]>
* [[Turkish_maqam_music_temperaments|karadeniz]] [{{val| 1 1 7 11 2 }}, {{val| 0 2 -16 -28 5 }}];
* [[Breedsmic_temperaments#Hemififths|hemififths]] [<1 1 -5 -1], <0 2 25 13]>
* [[Breedsmic_temperaments#Hemififths|hemififths]] [{{val| 1 1 -5 -1 }}, {{val| 0 2 25 13 }}];
* [[Bug_family|bug]] [<1 2 3], <0 -2 -3]>
* [[Bug_family|bug]] [{{val| 1 2 3 }}, {{val| 0 -2 -3 }}];
** beep [<1 2 3 3], <0 -2 -3 -1]>
** beep [{{val| 1 2 3 3 }}, {{val| 0 -2 -3 -1 }}];
*** pentoid [<1 2 3 3 3], <0 -2 -3 -1 2]>
*** pentoid [{{val| 1 2 3 3 3 }}, {{val| 0 -2 -3 -1 2 }}];
* superpelog [<1 2 1 3], <0 -2 6 -1]>
* superpelog [{{val| 1 2 1 3 }}, {{val| 0 -2 6 -1 }}];
* [[Meantone_family#Godzilla|godzilla]] [<1 2 4 3], <0 -2 -8 -1]>
* [[Meantone_family#Godzilla|godzilla]] [{{val| 1 2 4 3 }}, {{val| 0 -2 -8 -1 }}];
* monzismic [<1 2 10], <0 -2 -37]>
* monzismic [{{val| 1 2 10 }}, {{val| 0 -2 -37 }}];
* [[Gamelismic_clan#Gidorah|gidorah]] [<1 1 2 3], <0 3 2 -1]>
* [[Gamelismic_clan#Gidorah|gidorah]] [{{val| 1 1 2 3 }}, {{val| 0 3 2 -1 }}];
* penta [<1 1 2 2], <0 3 2 4]>
* penta [{{val| 1 1 2 2 }}, {{val| 0 3 2 4 }}];
* [[Laconic_Family|laconic]] [<1 1 1], <0 3 7]>
* [[Laconic_Family|laconic]] [{{val| 1 1 1 }}, {{val| 0 3 7 }}];
** [[Gamelismic_clan#Gorgo|gorgo]] [<1 1 1 3], <0 3 7 -1]
** [[Gamelismic_clan#Gorgo|gorgo]] [{{val| 1 1 1 3 }}, {{val| 0 3 7 -1 }}];
*** gorgo [<1 1 1 3 1| <0 3 7 -1 13|>
*** gorgo [{{val| 1 1 1 3 1| {{val| 0 3 7 -1 13 }}];
**** gorgo [<1 1 1 3 1 2| <0 3 7 -1 13 9|>
**** gorgo [{{val| 1 1 1 3 1 2| {{val| 0 3 7 -1 13 9 }}];
*** spartan [<1 1 1 3 5| <0 3 7 -1 -8|>
*** spartan [{{val| 1 1 1 3 5| {{val| 0 3 7 -1 -8 }}];
* [[Meantone_family#Mothra|mothra]], cynder [<1 1 0 3], <0 3 12 -1]>
* [[Meantone_family#Mothra|mothra]], cynder [{{val| 1 1 0 3 }}, {{val| 0 3 12 -1 }}];
** mothra, cynder [<1 1 0 3 5], <0 3 12 -1 -8]>
** mothra, cynder [{{val| 1 1 0 3 5 }}, {{val| 0 3 12 -1 -8 }}];
* [[Gamelismic_clan#Rodan|rodan]] [<1 1 -1 3], <0 3 17 -1]>
* [[Gamelismic_clan#Rodan|rodan]] [{{val| 1 1 -1 3 }}, {{val| 0 3 17 -1 }}];
** [[Gamelismic_clan#Rodan|rodan]][<1 1 -1 3 6], <0 3 17 -1 -13]>
** [[Gamelismic_clan#Rodan|rodan]] [{{val| 1 1 -1 3 6 }}, {{val| 0 3 17 -1 -13 }}];
*** [[Gamelismic_clan#Rodan|rodan]] [<1 1 -1 3 6 8], <0 3 17 -1 -13 -22]>
*** [[Gamelismic_clan#Rodan|rodan]] [{{val| 1 1 -1 3 6 8 }}, {{val| 0 3 17 -1 -13 -22 }}];
*** [[Gamelismic_clan#Rodan|aerodactyl]] [<1 1 -1 3 6 -1], <0 3 17 -1 -13 24]>
*** [[Gamelismic_clan#Rodan|aerodactyl]] [{{val| 1 1 -1 3 6 -1 }}, {{val| 0 3 17 -1 -13 24 }}];
* [[Schismatic_family#Guiron|guiron]] [<1 1 7 3], <0 3 -24 -1]>
* [[Schismatic_family#Guiron|guiron]] [{{val| 1 1 7 3 }}, {{val| 0 3 -24 -1 }}];
* [[Porcupine_family|porcupine]] [<1 2 3], <0 -3 -5]>
* [[Porcupine_family|porcupine]] [{{val| 1 2 3 }}, {{val| 0 -3 -5 }}];
** hystrix [<1 2 3 3], <0 -3 -5 -1]>
** hystrix [{{val| 1 2 3 3 }}, {{val| 0 -3 -5 -1 }}];
** porcupine [<1 2 3 2], <0 -3 -5 6]>
** porcupine [{{val| 1 2 3 2 }}, {{val| 0 -3 -5 6 }}];
*** porcupine [<1 2 3 2 4], <0 -3 -5 6 -4]>
*** porcupine [{{val| 1 2 3 2 4 }}, {{val| 0 -3 -5 6 -4 }}];
** opossum, pentadecimal [<1 2 3 4], <0 -3 -5 -9]>
** opossum, pentadecimal [{{val| 1 2 3 4 }}, {{val| 0 -3 -5 -9 }}];
*** opossum [<1 2 3 4 4], <0 -3 -5 -9 -4]>
*** opossum [{{val| 1 2 3 4 4 }}, {{val| 0 -3 -5 -9 -4 }}];
*** coendou [<1 2 3 1 4 3], <0 -3 -5 13 -4 5]>
*** coendou [{{val| 1 2 3 1 4 3 }}, {{val| 0 -3 -5 13 -4 5 }}];
*** porcupinefish [<1 2 3 2 4 6], <0 -3 -5 6 -4 -17]>
*** porcupinefish [{{val| 1 2 3 2 4 6 }}, {{val| 0 -3 -5 6 -4 -17 }}];
* ammonite [<1 5 8 10], <0 -9 -15 -19]>
* ammonite [{{val| 1 5 8 10 }}, {{val| 0 -9 -15 -19 }}];
* triton [<1 3 -1 -1], <0 -3 7 8]>
* triton [{{val| 1 3 -1 -1 }}, {{val| 0 -3 7 8 }}];
* [[Meantone_family#liese|liese]], gawel [<1 3 8 8], <0 -3 -12 -11]>
* [[Meantone_family#liese|liese]], gawel [{{val| 1 3 8 8 }}, {{val| 0 -3 -12 -11 }}];
* tricot [<1 3 16], <0 -3 -29]>
* tricot [{{val| 1 3 16 }}, {{val| 0 -3 -29 }}];
* [[Tetracot_family|tetracot]] [<1 1 1], <0 4 9]>
* [[Tetracot_family|tetracot]] [{{val| 1 1 1 }}, {{val| 0 4 9 }}];
** monkey [<1 1 1 5], <0 4 9 -15]>
** monkey [{{val| 1 1 1 5 }}, {{val| 0 4 9 -15 }}];
** bunya [<1 1 1 -1], <0 4 9 26]>
** bunya [{{val| 1 1 1 -1 }}, {{val| 0 4 9 26 }}];
* vulture [<1 0 -6], <0 4 21]>
* vulture [{{val| 1 0 -6 }}, {{val| 0 4 21 }}];
** buzzard [<1 0 -6 4], <0 4 21 -3]>
** buzzard [{{val| 1 0 -6 4 }}, {{val| 0 4 21 -3 }}];
*** buzzard [<1 0 -6 4 -12 -7], <0 4 21 -3 39 27]>
*** buzzard [{{val| 1 0 -6 4 -12 -7 }}, {{val| 0 4 21 -3 39 27 }}];
* [[Schismatic_family|sesquiquartififths]] [<1 1 7 5], <0 4 -32 -15]>
* [[Schismatic_family|sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15 }}];
* semihemififths [<1 1 -5 -1 8], <0 4 50 26 -31]>
* semihemififths [{{val| 1 1 -5 -1 8 }}, {{val| 0 4 50 26 -31 }}];
* [[Dicot_family|sidi]] [<1 3 3 6], <0 -4 -2 -9]>
* [[Dicot_family|sidi]] [{{val| 1 3 3 6 }}, {{val| 0 -4 -2 -9 }}];
* negri [<1 2 2], <0 -4 3]>
* negri [{{val| 1 2 2 }}, {{val| 0 -4 3 }}];
** negri [<1 2 2 3], <0 -4 3 -2]>
** negri [{{val| 1 2 2 3 }}, {{val| 0 -4 3 -2 }}];
*** negri [<1 2 2 3 4| <0 -4 3 -2 -5|]
*** negri [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -5 }}];
**** negri [<1 2 2 3 4 4| <0 -4 3 -2 -5 -3|]
**** negri [{{val| 1 2 2 3 4 4 }}, {{val| 0 -4 3 -2 -5 -3 }}];
*** negril [<1 2 2 3 2| <0 -4 3 -2 14|]
*** negril [{{val| 1 2 2 3 2 }}, {{val| 0 -4 3 -2 14 }}];
**** negril [<1 2 2 3 2 4], <0 -4 3 -2 14 -3]>
**** negril [{{val| 1 2 2 3 2 4 }}, {{val| 0 -4 3 -2 14 -3 }}];
* sentinel [<1 3 -3 6], <0 -4 15 -9]>
* sentinel [{{val| 1 3 -3 6 }}, {{val| 0 -4 15 -9 }}];
* [[Meantone_family#Squares|squares]] [<1 3 8 6], <0 -4 -16 -9]>
* [[Meantone_family#Squares|squares]] [{{val| 1 3 8 6 }}, {{val| 0 -4 -16 -9 }}];
* [[Magic_family|magic]] [<1 0 2], <0 5 1]>
* [[Magic_family|magic]] [{{val| 1 0 2 }}, {{val| 0 5 1 }}];
** muggles [<1 0 2 5], <0 5 1 -7]>
** muggles [{{val| 1 0 2 5 }}, {{val| 0 5 1 -7 }}];
** magic [<1 0 2 -1], <0 5 1 12]>
** magic [{{val| 1 0 2 -1 }}, {{val| 0 5 1 12 }}];
*** magic [<1 0 2 -1 6], <0 5 1 12 -8]>
*** magic [{{val| 1 0 2 -1 6 }}, {{val| 0 5 1 12 -8 }}];
* passion [<1 2 2], <0 -5 4]>
* passion [{{val| 1 2 2 }}, {{val| 0 -5 4 }}];
** passion [<1 2 2 2], <0 -5 4 10]>
** passion [{{val| 1 2 2 2 }}, {{val| 0 -5 4 10 }}];
* ripple [<1 2 3], <0 -5 -8]>
* ripple [{{val| 1 2 3 }}, {{val| 0 -5 -8 }}];
** ripple [<1 2 3 3], <0 -5 -8 -2]>
** ripple [{{val| 1 2 3 3 }}, {{val| 0 -5 -8 -2 }}];
* tritonic [<1 4 -3 -3], <0 -5 11 12]>
* tritonic [{{val| 1 4 -3 -3 }}, {{val| 0 -5 11 12 }}];
** tritonic [<1 4 -3 -3 2], <0 -5 11 12 3]>
** tritonic [{{val| 1 4 -3 -3 2 }}, {{val| 0 -5 11 12 3 }}];
* [[Ragismic_microtemperaments|amity]] [<1 3 6], <0 -5 -13]>
* [[Ragismic_microtemperaments|amity]] [{{val| 1 3 6 }}, {{val| 0 -5 -13 }}];
** amity [<1 3 6 -2], <0 -5 -13 17]>
** amity [{{val| 1 3 6 -2 }}, {{val| 0 -5 -13 17 }}];
*** hitchcock, amity [<1 3 6 -2 6], <0 -5 -13 17 -9]>
*** hitchcock, amity [{{val| 1 3 6 -2 6 }}, {{val| 0 -5 -13 17 -9 }}];
**** hitchcock [<1 3 6 -2 6 2], <0 -5 -13 17 -9 6]>
**** hitchcock [{{val| 1 3 6 -2 6 2 }}, {{val| 0 -5 -13 17 -9 6 }}];
* gravity [<1 5 12], <0 -6 -17]>
* gravity [{{val| 1 5 12 }}, {{val| 0 -6 -17 }}];
* [[Kleismic_family|hanson]] [<1 0 1], <0 6 5]>
* [[Kleismic_family|hanson]] [{{val| 1 0 1 }}, {{val| 0 6 5 }}];
** keemun [<1 0 1 2], <0 6 5 3]>
** keemun [{{val| 1 0 1 2 }}, {{val| 0 6 5 3 }}];
*** keemun [<1 0 1 2 4], <0 6 5 3 -2]>
*** keemun [{{val| 1 0 1 2 4 }}, {{val| 0 6 5 3 -2 }}];
** catakleismic [<1 0 1 -3], <0 6 5 22]>
** catakleismic [{{val| 1 0 1 -3 }}, {{val| 0 6 5 22 }}];
*** catakleismic [<1 0 1 -3 9], <0 6 5 22 -21]>
*** catakleismic [{{val| 1 0 1 -3 9 }}, {{val| 0 6 5 22 -21 }}];
**** catakleismic [<1 0 1 -3 9 0], <0 6 5 22 -21 14]>
**** catakleismic [{{val| 1 0 1 -3 9 0 }}, {{val| 0 6 5 22 -21 14 }}];
** countercata [<1 0 1 11], <0 6 5 -31]>
** countercata [{{val| 1 0 1 11 }}, {{val| 0 6 5 -31 }}];
* ampersand [<1 1 3], <0 6 -7]>
* ampersand [{{val| 1 1 3 }}, {{val| 0 6 -7 }}];
** [[Gamelismic_clan#Miracle|miracle]][<1 1 3 3], <0 6 -7 -2]>
** [[Gamelismic_clan#Miracle|miracle]][{{val| 1 1 3 3 }}, {{val| 0 6 -7 -2 }}];
*** miracle [<1 1 3 3 2], <0 6 -7 -2 15]>
*** miracle [{{val| 1 1 3 3 2 }}, {{val| 0 6 -7 -2 15 }}];
* marvo [<1 -1 -5 -17], <0 6 17 46]>
* marvo [{{val| 1 -1 -5 -17 }}, {{val| 0 6 17 46 }}];
* [[Porcupine_family|nautilus]] [<1 2 3 3], <0 -6 -10 -3]>
* [[Porcupine_family|nautilus]] [{{val| 1 2 3 3 }}, {{val| 0 -6 -10 -3 }}];
* [[Semicomma_family|orson]] [<1 0 3], <0 7 -3]>
* [[Semicomma_family|orson]] [{{val| 1 0 3 }}, {{val| 0 7 -3 }}];
** orwell [<1 0 3 1], <0 7 -3 8]>
** orwell [{{val| 1 0 3 1 }}, {{val| 0 7 -3 8 }}];
*** orwell [<1 0 3 1 3], <0 7 -3 8 2]>
*** orwell [{{val| 1 0 3 1 3 }}, {{val| 0 7 -3 8 2 }}];
**** orwell [<1 0 3 1 3 8], <0 7 -3 8 2 -19]>
**** orwell [{{val| 1 0 3 1 3 8 }}, {{val| 0 7 -3 8 2 -19 }}];
**** blair [<1 0 3 1 3 3], <0 7 -3 8 2 3]>
**** blair [{{val| 1 0 3 1 3 3 }}, {{val| 0 7 -3 8 2 3 }}];
**** winston [<1 0 3 1 3 1], <0 7 -3 8 2 12]>
**** winston [{{val| 1 0 3 1 3 1 }}, {{val| 0 7 -3 8 2 12 }}];
**** doublethink [<1 0 3 1 3 2], <0 14 -6 16 4 15]>
**** doublethink [{{val| 1 0 3 1 3 2 }}, {{val| 0 14 -6 16 4 15 }}];
* sensi [<1 -1 -1], <0 7 9]>
* sensi [{{val| 1 -1 -1 }}, {{val| 0 7 9 }}];
** [[Starling_temperaments#Sensi temperament|sensi]] [<1 -1 -1 -2], <0 7 9 13]>
** [[Starling_temperaments#Sensi temperament|sensi]] [{{val| 1 -1 -1 -2 }}, {{val| 0 7 9 13 }}];
*** [[Starling_temperaments#Sensi temperament-Sensor|sensor]] [<1 -1 -1 -2 9], <0 7 9 13 -15]>
*** [[Starling_temperaments#Sensi temperament-Sensor|sensor]] [{{val| 1 -1 -1 -2 9 }}, {{val| 0 7 9 13 -15 }}];
**** sensor [<1 -1 -1 -2 9 0], <0 7 9 13 -15 10]>
**** sensor [{{val| 1 -1 -1 -2 9 0 }}, {{val| 0 7 9 13 -15 10 }}];
* [[Starling_temperaments#Sensi temperament-Sensis|sensis]] [<1 6 8 11 6| <0 -7 -9 -13 -4|] ?
* [[Starling_temperaments#Sensi temperament-Sensis|sensis]] [{{val| 1 6 8 11 6 }}, {{val| 0 -7 -9 -13 -4|] ?
** sensis [<1 6 8 11 6 10| <0 -7 -9 -13 -4 -10|] ?
** sensis [{{val| 1 6 8 11 6 10 }}, {{val| 0 -7 -9 -13 -4 -10|] ?
* [[Starling_temperaments#Sensi temperament-Sensus|sensus]] [<1 6 8 11 23| <0 -7 -9 -13 -31|] ?
* [[Starling_temperaments#Sensi temperament-Sensus|sensus]] [{{val| 1 6 8 11 23 }}, {{val| 0 -7 -9 -13 -31|] ?
** sensus [<1 6 8 11 23 10| <0 -7 -9 -13 -31 -10|] ?
** sensus [{{val| 1 6 8 11 23 10| {{val| 0 -7 -9 -13 -31 -10|] ?
* roman [<1 4 3 -1 0 3], <0 -7 -2 11 10 2]>
* roman [{{val| 1 4 3 -1 0 3 }}, {{val| 0 -7 -2 11 10 2 }}];
* [[Tetracot_family#Octacot|octacot]] [<1 1 1 2], <0 8 18 11]>
* [[Tetracot_family#Octacot|octacot]] [{{val| 1 1 1 2 }}, {{val| 0 8 18 11 }}];
* [[Würschmidt_family|würschmidt]] [<1 -1 2], <0 8 1]>
* [[Würschmidt_family|würschmidt]] [{{val| 1 -1 2 }}, {{val| 0 8 1 }}];
** worschmidt [<1 -1 2 7], <0 8 1 -13]>
** worschmidt [{{val| 1 -1 2 7 }}, {{val| 0 8 1 -13 }}];
** wurschmidt [<1 -1 2 -3], <0 8 1 18]>
** wurschmidt [{{val| 1 -1 2 -3 }}, {{val| 0 8 1 18 }}];
** whirrschmidt [<1 7 3 38], <0 -8 -1 -52]>
** whirrschmidt [{{val| 1 7 3 38 }}, {{val| 0 -8 -1 -52 }}];
* valentine [<1 1 2], <0 9 5]>
* valentine [{{val| 1 1 2 }}, {{val| 0 9 5 }}];
** [[Starling_temperaments#Valentine temperament|valentine]][<1 1 2 3], <0 9 5 -3]>
** [[Starling_temperaments#Valentine temperament|valentine]] [{{val| 1 1 2 3 }}, {{val| 0 9 5 -3 }}];
*** valentine [<1 1 2 3 3], <0 9 5 -3 7]>
*** valentine [{{val| 1 1 2 3 3 }}, {{val| 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-Valentino|valentino]] [{{val| 1 1 2 3 3 5 }}, {{val| 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-Dwynwen|dwynwen]] [{{val| 1 1 2 3 3 2 }}, {{val| 0 9 5 -3 7 26 }}];
**** [[Starling_temperaments#Valentine temperament-Lupercalia|lupercalia]] [<1 1 2 3 3 3| <0 9 5 -3 7 11|]
**** [[Starling_temperaments#Valentine temperament-Lupercalia|lupercalia]] [{{val| 1 1 2 3 3 3 }}, {{val| 0 9 5 -3 7 11 }}];
* escapade [<1 2 2], <0 -9 7]>
* escapade [{{val| 1 2 2 }}, {{val| 0 -9 7 }}];
** escapade [<1 2 2 3], <0 -9 7 -4]>
** escapade [{{val| 1 2 2 3 }}, {{val| 0 -9 7 -4 }}];
** escaped [<1 2 2 4], <0 -9 7 -26]>
** escaped [{{val| 1 2 2 4 }}, {{val| 0 -9 7 -26 }}];
* [[Gamelismic_clan#Superkleismic|superkleismic]] [<1 4 5 2], <0 -9 -10 3]>
* [[Gamelismic_clan#Superkleismic|superkleismic]] [{{val| 1 4 5 2 }}, {{val| 0 -9 -10 3 }}];
** superkleismic [<1 4 5 2 4], <0 -9 -10 3 -2]>
** superkleismic [{{val| 1 4 5 2 4 }}, {{val| 0 -9 -10 3 -2 }}];
* [[Starling_temperaments#Myna temperament|myna]] [<1 -1 0 1], <0 10 9 7]>
* [[Starling_temperaments#Myna temperament|myna]] [{{val| 1 -1 0 1 }}, {{val| 0 10 9 7 }}];
** myna [<1 -1 0 1 -3], <0 10 9 7 25]>
** myna [{{val| 1 -1 0 1 -3 }}, {{val| 0 10 9 7 25 }}];
*** myna [<1 -1 0 1 -3 5], <0 10 9 7 25 -5]>
*** myna [{{val| 1 -1 0 1 -3 5 }}, {{val| 0 10 9 7 25 -5 }}];
* [[Sycamore_family|sycamore]] [<1 1 2], <0 11 6]>
* [[Sycamore_family|sycamore]] [{{val| 1 1 2 }}, {{val| 0 11 6 }}];
** sycamore [<1 1 2 2], <0 11 6 15]>
** sycamore [{{val| 1 1 2 2 }}, {{val| 0 11 6 15 }}];
* septimin [<1 4 1 5], <0 -11 6 -10]>
* septimin [{{val| 1 4 1 5 }}, {{val| 0 -11 6 -10 }}];
* [[Starling_temperaments#Nusecond temperament|nusecond]] [<1 3 4 5], <0 -11 -13 -17]>
* [[Starling_temperaments#Nusecond temperament|nusecond]] [{{val| 1 3 4 5 }}, {{val| 0 -11 -13 -17 }}];
* quartonic [<1 2 3 3], <0 -11 -18 -5]>
* quartonic [{{val| 1 2 3 3 }}, {{val| 0 -11 -18 -5 }}];
* [[Kleismic_family|hemikleismic]] [<1 0 1 4], <0 12 10 -9]>
* [[Kleismic_family|hemikleismic]] [{{val| 1 0 1 4 }}, {{val| 0 12 10 -9 }}];
* [[Kleismic_family|clyde]] [<1 6 6 12], <0 -12 -10 -25]>
* [[Kleismic_family|clyde]] [{{val| 1 6 6 12 }}, {{val| 0 -12 -10 -25 }}];
* bohpier [<1 0 0 0], <0 13 19 23]>
* bohpier [{{val| 1 0 0 0 }}, {{val| 0 13 19 23 }}];
* [[Gammic_family|gammic]] [<1 1 2], <0 20 11]>
* [[Gammic_family|gammic]] [{{val| 1 1 2 }}, {{val| 0 20 11 }}];
** gammic [<1 1 2 0], <0 20 11 96]>
** gammic [{{val| 1 1 2 0 }}, {{val| 0 20 11 96 }}];
* [[Gammic_family|neptune]] [<1 21 13 13], <0 -40 -22 -21]>
* [[Gammic_family|neptune]] [{{val| 1 21 13 13 }}, {{val| 0 -40 -22 -21 }}];
* pluto [<1 5 15 15 2], <0 7 26 25 -3]>
* pluto [{{val| 1 5 15 15 2 }}, {{val| 0 7 26 25 -3 }}];
* twothirdtonic [<1 3 2 4 4], <0 -13 3 -11 -5]>
* twothirdtonic [{{val| 1 3 2 4 4 }}, {{val| 0 -13 3 -11 -5 }}];
** twothirdtonic [<1 3 2 4 4 5], <0 -13 3 -11 -5 -12]>
** twothirdtonic [{{val| 1 3 2 4 4 5 }}, {{val| 0 -13 3 -11 -5 -12 }}];
* slender [<1 2 2 3], <0 -13 10 -6]>
* slender [{{val| 1 2 2 3 }}, {{val| 0 -13 10 -6 }}];
** slender [<1 2 2 3 4], <0 -13 10 -6 -17]>
** slender [{{val| 1 2 2 3 4 }}, {{val| 0 -13 10 -6 -17 }}];
* [[Ragismic_microtemperaments|parakleismic]] [<1 5 6], <0 -13 -14]>
* [[Ragismic_microtemperaments|parakleismic]] [{{val| 1 5 6 }}, {{val| 0 -13 -14 }}];
** parakleismic [<1 5 6 12], <0 -13 -14 -35]>
** parakleismic [{{val| 1 5 6 12 }}, {{val| 0 -13 -14 -35 }}];
* fortune [<1 -1 11], <0 14 -47]>
* fortune [{{val| 1 -1 11 }}, {{val| 0 14 -47 }}];
* hemithirds, luna [<1 4 2], <0 -15 2]>
* hemithirds, luna [{{val| 1 4 2 }}, {{val| 0 -15 2 }}];
** [[Gamelismic_clan#Hemithirds|hemithirds]][<1 4 2 2], <0 -15 2 5]>
** [[Gamelismic_clan#Hemithirds|hemithirds]] [{{val| 1 4 2 2 }}, {{val| 0 -15 2 5 }}];
*** [[Gamelismic_clan#Hemithirds|hemithirds]] [<1 4 2 2 7], <0 -15 2 5 -22]>
*** [[Gamelismic_clan#Hemithirds|hemithirds]] [{{val| 1 4 2 2 7 }}, {{val| 0 -15 2 5 -22 }}];
* [[Wuerschmidt_family|hemiwürschmidt]] [<1 -1 2 2], <0 16 2 5]>
* [[Wuerschmidt_family|hemiwürschmidt]] [{{val| 1 -1 2 2 }}, {{val| 0 16 2 5 }}];
** hemiwürschmidt [<1 -1 2 2 -3], <0 16 2 5 40]>
** hemiwürschmidt [{{val| 1 -1 2 2 -3 }}, {{val| 0 16 2 5 40 }}];
* semisept [<1 -5 0 -3], <0 17 6 15]>
* semisept [{{val| 1 -5 0 -3 }}, {{val| 0 17 6 15 }}];
* vavoom [<1 0 4], <0 17 -18]>
* vavoom [{{val| 1 0 4 }}, {{val| 0 17 -18 }}];
* [[Minortonic_family|minortone]] [<1 -1 -3], <0 17 35]>
* [[Minortonic_family|minortone]] [{{val| 1 -1 -3 }}, {{val| 0 17 35 }}];
** [[Minortonic_family#Mitonic|mitonic]] [<1 -1 -3 6], <0 17 35 -21]>
** [[Minortonic_family#Mitonic|mitonic]] [{{val| 1 -1 -3 6 }}, {{val| 0 17 35 -21 }}];
* [[Starling_temperaments|casablanca]] [<1 -7 -4 1], <0 19 14 4]>
* [[Starling_temperaments|casablanca]] [{{val| 1 -7 -4 1 }}, {{val| 0 19 14 4 }}];
** [[Starling_temperaments#Casablanca temperament|casablanca]] [<1 -7 -4 1 3], <0 19 14 4 1]>
** [[Starling_temperaments#Casablanca temperament|casablanca]] [{{val| 1 -7 -4 1 3 }}, {{val| 0 19 14 4 1 }}];
* [[Breedsmic_temperaments|tertiaseptal]] [<1 3 2 3], <0 -22 5 -3]>
* [[Breedsmic_temperaments|tertiaseptal]] [{{val| 1 3 2 3 }}, {{val| 0 -22 5 -3 }}];
* grendel, voodoo [<1 9 2 7], <0 -23 1 -13]>
* grendel, voodoo [{{val| 1 9 2 7 }}, {{val| 0 -23 1 -13 }}];
* gamera [<1 6 10 3], <0 -23 -40 -1]>
* gamera [{{val| 1 6 10 3 }}, {{val| 0 -23 -40 -1 }}];
* astro [<1 5 1], <0 -31 12]>
* astro [{{val| 1 5 1 }}, {{val| 0 -31 12 }}];
* semihemiwürschmidt [<1 15 4 7 24], <0 -32 -4 -10 -49]>
* semihemiwürschmidt [{{val| 1 15 4 7 24 }}, {{val| 0 -32 -4 -10 -49 }}];
* whoosh [<1 17 14], <0 -33 -25]>
* whoosh [{{val| 1 17 14 }}, {{val| 0 -33 -25 }}];
* [[Turkish_maqam_music_temperaments|yarman]] [<1 2 3 4 4], <0 -33 -54 -95 -43]>
* [[Turkish_maqam_music_temperaments|yarman]] [{{val| 1 2 3 4 4 }}, {{val| 0 -33 -54 -95 -43 }}];
* senior [<1 11 19], <0 -35 -62]>
* senior [{{val| 1 11 19 }}, {{val| 0 -35 -62 }}];
* raider [<1 -9 -26], <0 37 99]>
* raider [{{val| 1 -9 -26 }}, {{val| 0 37 99 }}];
* supermajor [<1 15 19 30], <0 -37 -46 -75]>
* supermajor [{{val| 1 15 19 30 }}, {{val| 0 -37 -46 -75 }}];
* [[Breedsmic_temperaments|quasiorwell]] [<1 -7 3 1], <0 38 -3 8]>
* [[Breedsmic_temperaments|quasiorwell]] [{{val| 1 -7 3 1 }}, {{val| 0 38 -3 8 }}];
* semigamera [<1 6 10 3 12], <0 -46 -80 -2 -89]>
* semigamera [{{val| 1 6 10 3 12 }}, {{val| 0 -46 -80 -2 -89 }}];
* gross [<1 -2 4], <0 47 -22]>
* gross [{{val| 1 -2 4 }}, {{val| 0 47 -22 }}];
* pirate [<1 -6 0], <0 49 15]>
* pirate [{{val| 1 -6 0 }}, {{val| 0 49 15 }}];
* egads [<1 15 16], <0 -51 -52]>
* egads [{{val| 1 15 16 }}, {{val| 0 -51 -52 }}];
* avila [<1 1 -1], <0 1 6]>
* avila [{{val| 1 1 -1 }}, {{val| 0 1 6 }}];
* mabila [<1 6 1], <0 -10 3]>
* mabila [{{val| 1 6 1 }}, {{val| 0 -10 3 }}];
* pycnic [<1 3 -1 8], <0 -3 7 -11]>
* pycnic [{{val| 1 3 -1 8 }}, {{val| 0 -3 7 -11 }}];
* enipucrop [<1 2 2], <0 -3 2]>
* enipucrop [{{val| 1 2 2 }}, {{val| 0 -3 2 }}];


=Two periods per octave=
== Two periods per octave ==
* [[Diaschismic_family|srutal]] [<2 3 5], <0 1 -2]>
* [[Diaschismic_family|srutal]] [{{val| 2 3 5 }}, {{val| 0 1 -2 }}];
** pajara [<2 3 5 6], <0 1 -2 -2]>
** pajara [{{val| 2 3 5 6 }}, {{val| 0 1 -2 -2 }}];
*** pajaric [<2 3 5 6 7], <0 1 -2 -2 0]>
*** pajaric [{{val| 2 3 5 6 7 }}, {{val| 0 1 -2 -2 0 }}];
*** pajarous [<2 3 5 6 6], <0 1 -2 -2 5]>
*** pajarous [{{val| 2 3 5 6 6 }}, {{val| 0 1 -2 -2 5 }}];
*** pajara [<2 3 5 6 8], <0 1 -2 -2 -6]>
*** pajara [{{val| 2 3 5 6 8 }}, {{val| 0 1 -2 -2 -6 }}];
** diaschismic [<2 3 5 7], <0 1 -2 -8]>
** diaschismic [{{val| 2 3 5 7 }}, {{val| 0 1 -2 -8 }}];
*** diaschismic [<2 3 5 7 9 10], <0 1 -2 -8 -12 -15]>
*** diaschismic [{{val| 2 3 5 7 9 10 }}, {{val| 0 1 -2 -8 -12 -15 }}];
** keen [<2 3 5 4], <0 1 -2 9]>
** keen [{{val| 2 3 5 4 }}, {{val| 0 1 -2 9 }}];
* supersharp [<2 3 4], <0 1 3]>
* supersharp [{{val| 2 3 4 }}, {{val| 0 1 3 }}];
** octokaidecal [<2 3 4 5], <0 1 3 3]>
** octokaidecal [{{val| 2 3 4 5 }}, {{val| 0 1 3 3 }}];
* bipelog [<2 3 5 6], <0 1 -3 -3]>
* bipelog [{{val| 2 3 5 6 }}, {{val| 0 1 -3 -3 }}];
* [[Meantone_family|injera]] [<2 3 4 5], <0 1 4 4]>
* [[Meantone_family|injera]] [{{val| 2 3 4 5 }}, {{val| 0 1 4 4 }}];
** injera [<2 3 4 5 6], <0 1 4 4 6]>
** injera [{{val| 2 3 4 5 6 }}, {{val| 0 1 4 4 6 }}];
* [[Schismatic_family|bischismic]] [<2 3 6 9], <0 1 -8 -20]>
* [[Schismatic_family|bischismic]] [{{val| 2 3 6 9 }}, {{val| 0 1 -8 -20 }}];
* [[Diaschismic_family|shrutar]] [<2 3 5 5], <0 2 -4 7]>
* [[Diaschismic_family|shrutar]] [{{val| 2 3 5 5 }}, {{val| 0 2 -4 7 }}];
** shrutar [<2 3 5 5 7], <0 2 -4 7 -1]>
** shrutar [{{val| 2 3 5 5 7 }}, {{val| 0 2 -4 7 -1 }}];
*** srutar [<2 3 5 5 7 8], <0 2 -4 7 -1 -7]>
*** srutar [{{val| 2 3 5 5 7 8 }}, {{val| 0 2 -4 7 -1 -7 }}];
*** shrutar [<2 3 5 5 7 6], <0 2 -4 7 -1 16]>
*** shrutar [{{val| 2 3 5 5 7 6 }}, {{val| 0 2 -4 7 -1 16 }}];
* [[Diaschismic_family|echidna]] [<2 1 9 2], <0 3 -6 5]>
* [[Diaschismic_family|echidna]] [{{val| 2 1 9 2 }}, {{val| 0 3 -6 5 }}];
** echidna [<2 1 9 2 12], <0 3 -6 5 -7]>
** echidna [{{val| 2 1 9 2 12 }}, {{val| 0 3 -6 5 -7 }}];
* [[Dicot_family|decimal]] [<2 4 5 6], <0 -2 -1 -1]>
* [[Dicot_family|decimal]] [{{val| 2 4 5 6 }}, {{val| 0 -2 -1 -1 }}];
* [[Breedsmic_temperaments#Semihemi|semihemi]] [<2 4 15 11 21], <0 -2 -25 -13 -34]>
* [[Breedsmic_temperaments#Semihemi|semihemi]] [{{val| 2 4 15 11 21 }}, {{val| 0 -2 -25 -13 -34 }}];
* [[Gamelismic_clan#Lemba|lemba]] [<2 2 5 6], <0 3 -1 -1]>
* [[Gamelismic_clan#Lemba|lemba]] [{{val| 2 2 5 6 }}, {{val| 0 3 -1 -1 }}];
* [[Porcupine_family|hedgehog]] [<2 4 6 7], <0 -3 -5 -5]>
* [[Porcupine_family|hedgehog]] [{{val| 2 4 6 7 }}, {{val| 0 -3 -5 -5 }}];
* doublewide [<2 5 6], <0 -4 -3]>
* doublewide [{{val| 2 5 6 }}, {{val| 0 -4 -3 }}];
** [[Jubilismic_clan|doublewide]][<2 5 6 7], <0 -4 -3 -3]>
** [[Jubilismic_clan|doublewide]][{{val| 2 5 6 7 }}, {{val| 0 -4 -3 -3 }}];
*** [[Jubilismic_clan|doublewide]] [<2 5 6 7 6], <0 -4 -3 -3 2]>
*** [[Jubilismic_clan|doublewide]] [{{val| 2 5 6 7 6 }}, {{val| 0 -4 -3 -3 2 }}];
* [[Schismatic_family|sesquiquartififths]] [<2 2 14 10], <0 4 -32 -15]>
* [[Schismatic_family|sesquiquartififths]] [{{val| 2 2 14 10 }}, {{val| 0 4 -32 -15 }}];
* hemiamity [<2 1 -1 13 13], <0 5 13 -17 -14]>
* hemiamity [{{val| 2 1 -1 13 13 }}, {{val| 0 5 13 -17 -14 }}];
* wizard [<2 1 5 2], <0 6 -1 10]>
* wizard [{{val| 2 1 5 2 }}, {{val| 0 6 -1 10 }}];
** wizard [<2 1 5 2 8], <0 6 -1 10 -3]>
** wizard [{{val| 2 1 5 2 8 }}, {{val| 0 6 -1 10 -3 }}];
* [[Gamelismic_clan#Unidec|unidec]] [<2 5 8 5], <0 -6 -11 2]>
* [[Gamelismic_clan#Unidec|unidec]] [{{val| 2 5 8 5 }}, {{val| 0 -6 -11 2 }}];
** unidec [<2 5 8 5 6], <0 -6 -11 2 3]>
** unidec [{{val| 2 5 8 5 6 }}, {{val| 0 -6 -11 2 3 }}];
*** hendec [<2 5 8 5 6 8], <0 -6 -11 2 3 -2]>
*** hendec [{{val| 2 5 8 5 6 8 }}, {{val| 0 -6 -11 2 3 -2 }}];
* [[Breedsmic_temperaments|harry]] [<2 4 7 7], <0 -6 -17 -10]>
* [[Breedsmic_temperaments|harry]] [{{val| 2 4 7 7 }}, {{val| 0 -6 -17 -10 }}];
* vishnu [<2 4 5], <0 -7 -3]>
* vishnu [{{val| 2 4 5 }}, {{val| 0 -7 -3 }}];
** vishnu [<2 4 5 10], <0 -7 -3 -37]>
** vishnu [{{val| 2 4 5 10 }}, {{val| 0 -7 -3 -37 }}];
* kwazy [<2 1 6], <0 8 -5]>
* kwazy [{{val| 2 1 6 }}, {{val| 0 8 -5 }}];
** bisupermajor [<2 1 6 1 8], <0 8 -5 17 -4]>
** bisupermajor [{{val| 2 1 6 1 8 }}, {{val| 0 8 -5 17 -4 }}];
* semiparakleismic [<2 -3 -2 -11 -4], <0 13 14 35 23]>
* semiparakleismic [{{val| 2 -3 -2 -11 -4 }}, {{val| 0 13 14 35 23 }}];
* hemigamera [<2 12 20 6], <0 -23 -40 -1]>
* hemigamera [{{val| 2 12 20 6 }}, {{val| 0 -23 -40 -1 }}];
** hemigamera [<2 12 20 6 5], <0 -23 -40 -1 5]>
** hemigamera [{{val| 2 12 20 6 5 }}, {{val| 0 -23 -40 -1 5 }}];
* abigail [<2 7 13 -1 1 -2], <0 -11 -24 19 17 27]>
* abigail [{{val| 2 7 13 -1 1 -2 }}, {{val| 0 -11 -24 19 17 27 }}];


=Three periods per octave=
== Three periods per octave ==
* [[Augmented_family|augmented]] [<3 5 7], <0 -1 0]>
* [[Augmented_family|augmented]] [{{val| 3 5 7 }}, {{val| 0 -1 0 }}];
** augene, tripletone [<3 5 7 8], <0 -1 0 2]>
** augene, tripletone [{{val| 3 5 7 8 }}, {{val| 0 -1 0 2 }}];
*** augene, tripletone [<3 5 7 8 10], <0 -1 0 2 2]>
*** augene, tripletone [{{val| 3 5 7 8 10 }}, {{val| 0 -1 0 2 2 }}];
** august [<3 5 7 9], <0 -1 0 -2]>
** august [{{val| 3 5 7 9 }}, {{val| 0 -1 0 -2 }}];
* misty [<3 5 6], <0 -1 4]>
* misty [{{val| 3 5 6 }}, {{val| 0 -1 4 }}];
** misty [<3 5 6 6], <0 -1 4 10]>
** misty [{{val| 3 5 6 6 }}, {{val| 0 -1 4 10 }}];
* term [<3 5 5 4], <0 -1 8 18]>
* term [{{val| 3 5 5 4 }}, {{val| 0 -1 8 18 }}];
* semiaug [<3 5 7 9], <0 -2 0 -5]>
* semiaug [{{val| 3 5 7 9 }}, {{val| 0 -2 0 -5 }}];
* [[Kleismic_family|tritikleismic]] [<3 6 8 8], <0 -6 -5 2]>
* [[Kleismic_family|tritikleismic]] [{{val| 3 6 8 8 }}, {{val| 0 -6 -5 2 }}];
* [[Mutt_family|mutt]] [<3 5 7 8], <0 -7 -1 12]>
* [[Mutt_family|mutt]] [{{val| 3 5 7 8 }}, {{val| 0 -7 -1 12 }}];
* ternary [<3 5 7 8], <3 5 7 9]>
* ternary [{{val| 3 5 7 8 }}, {{val| 3 5 7 9 }}];


=Four or more periods per octave=
== Four or more periods per octave ==
* diminished [<4 6 9], <0 1 1]>
* diminished [{{val| 4 6 9 }}, {{val| 0 1 1 }}];
** diminished [<4 6 9 11], <0 1 1 1]>
** diminished [{{val| 4 6 9 11 }}, {{val| 0 1 1 1 }}];
*** diminished [<4 6 9 11 14], <0 1 1 1 0]>
*** diminished [{{val| 4 6 9 11 14 }}, {{val| 0 1 1 1 0 }}];
*** demolished [<4 6 9 11 13], <0 1 1 1 3]>
*** demolished [{{val| 4 6 9 11 13 }}, {{val| 0 1 1 1 3 }}];
* blackwood [<5 8 12], <0 0 -1]>
* blackwood [{{val| 5 8 12 }}, {{val| 0 0 -1 }}];
** blacksmith [<5 8 12 14], <0 0 -1 0]>
** blacksmith [{{val| 5 8 12 14 }}, {{val| 0 0 -1 0 }}];
* hexe [<6 10 14 17], <0 -1 0 0]>
* hexe [{{val| 6 10 14 17 }}, {{val| 0 -1 0 0 }}];
* jamesbond [<7 11 16 20], <0 0 0 -1]>
* jamesbond [{{val| 7 11 16 20 }}, {{val| 0 0 0 -1 }}];
** jamesbond [<7 11 16 20 24], <0 0 0 -1 0]>
** jamesbond [{{val| 7 11 16 20 24 }}, {{val| 0 0 0 -1 0 }}];
* whitewood [<7 11 16], <0 0 1]>
* whitewood [{{val| 7 11 16 }}, {{val| 0 0 1 }}];
* octoid [<8 13 19 23 28], <0 -3 -4 -5 -3]>
* octoid [{{val| 8 13 19 23 28 }}, {{val| 0 -3 -4 -5 -3 }}];
* [[Ragismic_microtemperaments|ennealimmal]] [<9 15 22], <0 -2 -3]>
* [[Ragismic_microtemperaments|ennealimmal]] [{{val| 9 15 22 }}, {{val| 0 -2 -3 }}];
** ennealimmal [<9 15 22 26], <0 -2 -3 -2]>
** ennealimmal [{{val| 9 15 22 26 }}, {{val| 0 -2 -3 -2 }}];
*** ennealimmal [<9 15 22 26 37], <0 -2 -3 -2 -16]>
*** ennealimmal [{{val| 9 15 22 26 37 }}, {{val| 0 -2 -3 -2 -16 }}];
* [[Breedsmic_temperaments|decoid]] [<10 0 47 36| <0 2 -3 -1|]
* [[Breedsmic_temperaments|decoid]] [{{val| 10 0 47 36 }}, {{val| 0 2 -3 -1 }}];
** decoid [<10 0 47 36 98| <0 2 -3 -1 -8|]
** decoid [{{val| 10 0 47 36 98 }}, {{val| 0 2 -3 -1 -8 }}];
*** decoid [<10 0 47 36 98 37| <0 2 -3 -1 -8 0|]
*** decoid [{{val| 10 0 47 36 98 37 }}, {{val| 0 2 -3 -1 -8 0 }}];
* hendecatonic [<11 17 26 30], <0 1 -1 2]>
* hendecatonic [{{val| 11 17 26 30 }}, {{val| 0 1 -1 2 }}];
* [[Pythagorean_family|catler]] [<12 19 28 34], <0 0 0 -1]>
* [[Pythagorean_family|catler]] [{{val| 12 19 28 34 }}, {{val| 0 0 0 -1 }}];
* [[Pythagorean_family|compton]] [<12 19 28], <0 0 -1]>
* [[Pythagorean_family|compton]] [{{val| 12 19 28 }}, {{val| 0 0 -1 }}];
** compton, waage [<12 19 28 34], <0 0 -1 -2]>
** compton, waage [{{val| 12 19 28 34 }}, {{val| 0 0 -1 -2 }}];
*** compton, duodecimal [<12 19 28 34 42], <0 0 -1 -2 -3]>
*** compton, duodecimal [{{val| 12 19 28 34 42 }}, {{val| 0 0 -1 -2 -3 }}];
* duodecim [<12 19 28 34 42], <0 0 0 0 -1]>
* duodecim [{{val| 12 19 28 34 42 }}, {{val| 0 0 0 0 -1 }}];
* atomic [<12 19 28], <0 1 -7]>
* atomic [{{val| 12 19 28 }}, {{val| 0 1 -7 }}];
* hemiennealimmal [<18 28 41 50 62], <0 2 3 2 1]>
* hemiennealimmal [{{val| 18 28 41 50 62 }}, {{val| 0 2 3 2 1 }}];
* [[Ragismic_microtemperaments|enneadecal]] [<19 30 44], <0 1 1]>
* [[Ragismic_microtemperaments|enneadecal]] [{{val| 19 30 44 }}, {{val| 0 1 1 }}];
** enneadecal [<19 30 44 53], <0 1 1 3]>
** enneadecal [{{val| 19 30 44 53 }}, {{val| 0 1 1 3 }}];
* undevigintone [<19 30 44 53 66], <0 0 0 0 -1]>
* undevigintone [{{val| 19 30 44 53 66 }}, {{val| 0 0 0 0 -1 }}];
* icosidillic [<22 35 51 62 76], <0 -1 1 -2 1]>
* icosidillic [{{val| 22 35 51 62 76 }}, {{val| 0 -1 1 -2 1 }}];
* vigintiduo [<22 35 51 62 76], <0 0 0 0 1]>
* vigintiduo [{{val| 22 35 51 62 76 }}, {{val| 0 0 0 0 1 }}];
* mystery [<29 46 67 81 100 107], <0 0 1 1 1 1]>
* mystery [{{val| 29 46 67 81 100 107 }}, {{val| 0 0 1 1 1 1 }}];
* hemienneadecal [<38 60 88 106 131], <0 1 1 3 2]>
* hemienneadecal [{{val| 38 60 88 106 131 }}, {{val| 0 1 1 3 2 }}];


[[Category:list]]
[[Category:List]]
[[Category:project]]
[[Category:Regular temperament theory]]
[[Category:proposal]]
[[Category:Rank 2]]
[[Category:rank_2]]
[[Category:temperament]]
[[Category:theory]]

Revision as of 10:04, 13 September 2021

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.)

See also 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 [⟨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]];
  • 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 [⟨1 1 2], ⟨0 2 1]];
    • dicot [⟨1 1 2 2], ⟨0 2 1 3]];
    • sharp [⟨1 1 2 1], ⟨0 2 1 6]];
  • mohajira, semififths [⟨1 1 0 6], ⟨0 2 8 -11]];
    • mohajira ⟨1 1 0 6 2], ⟨0 2 8 -11 5]];
    • 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]];
  • karadeniz [⟨1 1 7 11 2], ⟨0 2 -16 -28 5]];
  • hemififths [⟨1 1 -5 -1], ⟨0 2 25 13]];
  • 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]];
  • godzilla [⟨1 2 4 3], ⟨0 -2 -8 -1]];
  • monzismic [⟨1 2 10], ⟨0 -2 -37]];
  • gidorah [⟨1 1 2 3], ⟨0 3 2 -1]];
  • 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 [{{val| 1 1 1 3 1| ⟨0 3 7 -1 13]];
        • gorgo [{{val| 1 1 1 3 1 2| ⟨0 3 7 -1 13 9]];
      • spartan [{{val| 1 1 1 3 5| ⟨0 3 7 -1 -8]];
  • 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 3 -1 -1], ⟨0 -3 7 8]];
  • liese, gawel [⟨1 3 8 8], ⟨0 -3 -12 -11]];
  • tricot [⟨1 3 16], ⟨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]];
  • 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]];
  • marvo [⟨1 -1 -5 -17], ⟨0 6 17 46]];
  • 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]];
        • doublethink [⟨1 0 3 1 3 2], ⟨0 14 -6 16 4 15]];
  • sensi [⟨1 -1 -1], ⟨0 7 9]];
    • sensi [⟨1 -1 -1 -2], ⟨0 7 9 13]];
      • sensor [⟨1 -1 -1 -2 9], ⟨0 7 9 13 -15]];
        • sensor [⟨1 -1 -1 -2 9 0], ⟨0 7 9 13 -15 10]];
  • sensis [⟨1 6 8 11 6], {{val| 0 -7 -9 -13 -4|] ?
    • sensis [⟨1 6 8 11 6 10], {{val| 0 -7 -9 -13 -4 -10|] ?
  • sensus [⟨1 6 8 11 23], {{val| 0 -7 -9 -13 -31|] ?
    • sensus [{{val| 1 6 8 11 23 10| {{val| 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 -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]];
    • 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]];
  • 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 [⟨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]];
  • 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 -1 11], ⟨0 14 -47]];
  • hemithirds, luna [⟨1 4 2], ⟨0 -15 2]];
  • 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]];
  • minortone [⟨1 -1 -3], ⟨0 17 35]];
    • mitonic [⟨1 -1 -3 6], ⟨0 17 35 -21]];
  • casablanca [⟨1 -7 -4 1], ⟨0 19 14 4]];
  • 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 -9 -26], ⟨0 37 99]];
  • supermajor [⟨1 15 19 30], ⟨0 -37 -46 -75]];
  • 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]];
  • avila [⟨1 1 -1], ⟨0 1 6]];
  • mabila [⟨1 6 1], ⟨0 -10 3]];
  • pycnic [⟨1 3 -1 8], ⟨0 -3 7 -11]];
  • enipucrop [⟨1 2 2], ⟨0 -3 2]];

Two periods per octave

  • 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]];
  • injera [⟨2 3 4 5], ⟨0 1 4 4]];
    • injera [⟨2 3 4 5 6], ⟨0 1 4 4 6]];
  • bischismic [⟨2 3 6 9], ⟨0 1 -8 -20]];
  • 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]];
  • echidna [⟨2 1 9 2], ⟨0 3 -6 5]];
    • echidna [⟨2 1 9 2 12], ⟨0 3 -6 5 -7]];
  • decimal [⟨2 4 5 6], ⟨0 -2 -1 -1]];
  • semihemi [⟨2 4 15 11 21], ⟨0 -2 -25 -13 -34]];
  • lemba [⟨2 2 5 6], ⟨0 3 -1 -1]];
  • hedgehog [⟨2 4 6 7], ⟨0 -3 -5 -5]];
  • doublewide [⟨2 5 6], ⟨0 -4 -3]];
  • 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]];
  • 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]];
    • 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 [⟨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]];
  • tritikleismic [⟨3 6 8 8], ⟨0 -6 -5 2]];
  • 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]];
  • 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]];
  • 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]];
  • catler [⟨12 19 28 34], ⟨0 0 0 -1]];
  • 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]];
  • 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]];
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