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|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]]s (2 3 5 etc.)


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


== One period per octave ==
== One period per octave ==
* father [{{val| 1 2 2 }}, {{val| 0 -1 1 }}];
* [[father]] [{{val| 1 2 2 }}, {{val| 0 -1 1 }}];
** mother [{{val| 1 2 2 2 }}, {{val| 0 -1 1 2 }}];
** mother [{{val| 1 2 2 2 }}, {{val| 0 -1 1 2 }}];
** father [{{val| 1 2 2 4 }}, {{val| 0 -1 1 -3 }}];
** father [{{val| 1 2 2 4 }}, {{val| 0 -1 1 -3 }}];
* mavila [{{val| 1 2 1 }}, {{val| 0 -1 3 }}];
* [[mavila]] [{{val| 1 2 1 }}, {{val| 0 -1 3 }}];
** pelogic [{{val| 1 2 1 1 }}, {{val| 0 -1 3 4 }}];
** [[pelogic]] [{{val| 1 2 1 1 }}, {{val| 0 -1 3 4 }}];
** armodue [{{val| 1 2 1 5 }}, {{val| 0 -1 3 -5 }}];
** [[armodue]] [{{val| 1 2 1 5 }}, {{val| 0 -1 3 -5 }}];
** mavila [{{val| 1 2 1 -2 }}, {{val| 0 -1 3 11 }}];
** mavila [{{val| 1 2 1 -2 }}, {{val| 0 -1 3 11 }}];
** hornbostel [{{val| 1 2 1 8 }}, {{val| 0 -1 3 -12 }}];
** hornbostel [{{val| 1 2 1 8 }}, {{val| 0 -1 3 -12 }}];
* [[Meantone_family|meantone]] [{{val| 1 2 4 }}, {{val| 0 -1 -4 }}];
* [[meantone]] [{{val| 1 2 4 }}, {{val| 0 -1 -4 }}];
** dominant [{{val| 1 2 4 2 }}, {{val| 0 -1 -4 2 }}];
** [[dominant]] [{{val| 1 2 4 2 }}, {{val| 0 -1 -4 2 }}];
*** arnold [{{val| 1 2 4 2 3 }}, {{val| 0 -1 -4 2 1 }}];
*** arnold [{{val| 1 2 4 2 3 }}, {{val| 0 -1 -4 2 1 }}];
*** dominant [{{val| 1 2 4 2 1 }}, {{val| 0 -1 -4 2 6 }}];
*** dominant [{{val| 1 2 4 2 1 }}, {{val| 0 -1 -4 2 6 }}];
*** domineering [{{val| 1 2 4 2 6 }}, {{val| 0 -1 -4 2 -6 }}];
*** domineering [{{val| 1 2 4 2 6 }}, {{val| 0 -1 -4 2 -6 }}];
**** dominatrix [{{val| 1 2 4 2 6 5 }}, {{val| 0 -1 -4 2 -6 -3 }}];
**** dominatrix [{{val| 1 2 4 2 6 5 }}, {{val| 0 -1 -4 2 -6 -3 }}];
** sharptone [{{val| 1 2 4 4 }}, {{val| 0 -1 -4 -3 }}];
** [[sharptone]] [{{val| 1 2 4 4 }}, {{val| 0 -1 -4 -3 }}];
*** meanertone [{{val| 1 2 4 4 3 }}, {{val| 0 -1 -4 -3 1 }}];
*** meanertone [{{val| 1 2 4 4 3 }}, {{val| 0 -1 -4 -3 1 }}];
** flattone [{{val| 1 2 4 -1 }}, {{val| 0 -1 -4 9 }}];
** [[flattone]] [{{val| 1 2 4 -1 }}, {{val| 0 -1 -4 9 }}];
*** flattone [{{val| 1 2 4 -1 6 }}, {{val| 0 -1 -4 9 -6 }}];
*** flattone [{{val| 1 2 4 -1 6 }}, {{val| 0 -1 -4 9 -6 }}];
** meantone [{{val| 1 2 4 7 }}, {{val| 0 -1 -4 -10 }}];
** meantone [{{val| 1 2 4 7 }}, {{val| 0 -1 -4 -10 }}];
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*** meanpop [{{val| 1 2 4 7 -2 }}, {{val| 0 -1 -4 -10 13 }}];
*** meanpop [{{val| 1 2 4 7 -2 }}, {{val| 0 -1 -4 -10 13 }}];
*** meantone [{{val| 1 2 4 7 11 }}, {{val| 0 -1 -4 -10 -18 }}];
*** meantone [{{val| 1 2 4 7 11 }}, {{val| 0 -1 -4 -10 -18 }}];
* [[Schismatic_family|helmholtz]] [{{val| 1 2 -1 }}, {{val| 0 -1 8 }}];
* [[avila]] [{{val| 1 1 -1 }}, {{val| 0 1 6 }}];
* [[helmholtz]] [{{val| 1 2 -1 }}, {{val| 0 -1 8 }}];
** schism [{{val| 1 2 -1 2 }}, {{val| 0 -1 8 2 }}];
** schism [{{val| 1 2 -1 2 }}, {{val| 0 -1 8 2 }}];
** garibaldi [{{val| 1 2 -1 -3 }}, {{val| 0 -1 8 14 }}];
** garibaldi [{{val| 1 2 -1 -3 }}, {{val| 0 -1 8 14 }}];
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**** andromeda [{{val| 1 2 -1 -3 -4 -5 }}, {{val| 0 -1 8 14 18 21 }}];
**** andromeda [{{val| 1 2 -1 -3 -4 -5 }}, {{val| 0 -1 8 14 18 21 }}];
** grackle [{{val| 1 2 -1 -8 }}, {{val| 0 -1 8 26 }}];
** grackle [{{val| 1 2 -1 -8 }}, {{val| 0 -1 8 26 }}];
** pontiac, infraschismic [{{val| 1 2 -1 19 }}, {{val| 0 -1 8 -39 }}];
** [[pontiac]], infraschismic [{{val| 1 2 -1 19 }}, {{val| 0 -1 8 -39 }}];
* superpyth [{{val| 1 2 6 }}, {{val| 0 -1 -9 }}];
* [[superpyth]] [{{val| 1 2 6 }}, {{val| 0 -1 -9 }}];
** superpyth [{{val| 1 2 6 2 }}, {{val| 0 -1 -9 2 }}];
** superpyth [{{val| 1 2 6 2 }}, {{val| 0 -1 -9 2 }}];
*** superpyth [{{val| 1 2 6 2 10 }}, {{val| 0 -1 -9 2 -16 }}];
*** superpyth [{{val| 1 2 6 2 10 }}, {{val| 0 -1 -9 2 -16 }}];
*** suprapyth [{{val| 1 2 6 2 1 }}, {{val| 0 -1 -9 2 6 }}];
*** suprapyth [{{val| 1 2 6 2 1 }}, {{val| 0 -1 -9 2 6 }}];
* quasisuper [{{val| 1 2 -3 2 }}, {{val| 0 -1 13 2 }}];
* [[quasisuper]] [{{val| 1 2 -3 2 }}, {{val| 0 -1 13 2 }}];
* leapday [{{val| 1 2 11 9 8 7 }}, {{val| 0 -1 -21 -15 -11 -8 }}];
* [[leapday]] [{{val| 1 2 11 9 8 7 }}, {{val| 0 -1 -21 -15 -11 -8 }}];
* kwai [{{val| 1 2 16 14 }}, {{val| 0 -1 -33 -27 }}];
* [[kwai]] [{{val| 1 2 16 14 }}, {{val| 0 -1 -33 -27 }}];
** kwai [{{val| 1 2 16 14 -4 }}, {{val| 0 -1 -33 -27 18 }}];
** kwai [{{val| 1 2 16 14 -4 }}, {{val| 0 -1 -33 -27 18 }}];
* undecental [{{val| 1 2 -13 -15 }}, {{val| 0 -1 37 43 }}];
* [[undecental]] [{{val| 1 2 -13 -15 }}, {{val| 0 -1 37 43 }}];
* counterschismic [{{val| 1 2 21 }}, {{val| 0 -1 -45 }}];
* [[counterschismic]] [{{val| 1 2 21 }}, {{val| 0 -1 -45 }}];
* [[Dicot_family|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 }}];
** dicot [{{val| 1 1 2 2 }}, {{val| 0 2 1 3 }}];
** sharp [{{val| 1 1 2 1 }}, {{val| 0 2 1 6 }}];
** [[sharp]] [{{val| 1 1 2 1 }}, {{val| 0 2 1 6 }}];
* [[Meantone_family#Mohajira|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 }}];
** [[Meantone_family|maqamic]] [{{val| 1 1 0 4 2 }}, {{val| 0 2 8 -4 5 }}];
** [[maqamic]] [{{val| 1 1 0 4 2 }}, {{val| 0 2 8 -4 5 }}];
*** maqamic {{val| 1 1 0 4 2 4 }}, {{val| 0 2 8 -4 5 -1 }}];
*** maqamic {{val| 1 1 0 4 2 4 }}, {{val| 0 2 8 -4 5 -1 }}];
* beatles [{{val| 1 1 5 4 }}, {{val| 0 2 -9 -4 }}];
* [[beatles]] [{{val| 1 1 5 4 }}, {{val| 0 2 -9 -4 }}];
* [[Turkish_maqam_music_temperaments|karadeniz]] [{{val| 1 1 7 11 2 }}, {{val| 0 2 -16 -28 5 }}];
* [[karadeniz]] [{{val| 1 1 7 11 2 }}, {{val| 0 2 -16 -28 5 }}];
* [[Breedsmic_temperaments#Hemififths|hemififths]] [{{val| 1 1 -5 -1 }}, {{val| 0 2 25 13 }}];
* [[hemififths]] [{{val| 1 1 -5 -1 }}, {{val| 0 2 25 13 }}];
* [[Bug_family|bug]] [{{val| 1 2 3 }}, {{val| 0 -2 -3 }}];
* [[bug]] [{{val| 1 2 3 }}, {{val| 0 -2 -3 }}];
** beep [{{val| 1 2 3 3 }}, {{val| 0 -2 -3 -1 }}];
** [[beep]] [{{val| 1 2 3 3 }}, {{val| 0 -2 -3 -1 }}];
*** pentoid [{{val| 1 2 3 3 3 }}, {{val| 0 -2 -3 -1 2 }}];
*** pentoid [{{val| 1 2 3 3 3 }}, {{val| 0 -2 -3 -1 2 }}];
* superpelog [{{val| 1 2 1 3 }}, {{val| 0 -2 6 -1 }}];
* [[superpelog]] [{{val| 1 2 1 3 }}, {{val| 0 -2 6 -1 }}];
* [[Meantone_family#Godzilla|godzilla]] [{{val| 1 2 4 3 }}, {{val| 0 -2 -8 -1 }}];
* [[godzilla]] [{{val| 1 2 4 3 }}, {{val| 0 -2 -8 -1 }}];
* monzismic [{{val| 1 2 10 }}, {{val| 0 -2 -37 }}];
* [[monzismic]] [{{val| 1 2 10 }}, {{val| 0 -2 -37 }}];
* [[Gamelismic_clan#Gidorah|gidorah]] [{{val| 1 1 2 3 }}, {{val| 0 3 2 -1 }}];
* [[gidorah]] [{{val| 1 1 2 3 }}, {{val| 0 3 2 -1 }}];
* [[enipucrop]] [{{val| 1 2 2 }}, {{val| 0 -3 2 }}];
* penta [{{val| 1 1 2 2 }}, {{val| 0 3 2 4 }}];
* penta [{{val| 1 1 2 2 }}, {{val| 0 3 2 4 }}];
* [[Laconic_Family|laconic]] [{{val| 1 1 1 }}, {{val| 0 3 7 }}];
* [[laconic]] [{{val| 1 1 1 }}, {{val| 0 3 7 }}];
** [[Gamelismic_clan#Gorgo|gorgo]] [{{val| 1 1 1 3 }}, {{val| 0 3 7 -1 }}];
** [[gorgo]] [{{val| 1 1 1 3 }}, {{val| 0 3 7 -1 }}];
*** gorgo [{{val| 1 1 1 3 1| {{val| 0 3 7 -1 13 }}];
*** gorgo [{{val| 1 1 1 3 1| {{val| 0 3 7 -1 13 }}];
**** gorgo [{{val| 1 1 1 3 1 2| {{val| 0 3 7 -1 13 9 }}];
**** gorgo [{{val| 1 1 1 3 1 2| {{val| 0 3 7 -1 13 9 }}];
*** spartan [{{val| 1 1 1 3 5| {{val| 0 3 7 -1 -8 }}];
*** spartan [{{val| 1 1 1 3 5| {{val| 0 3 7 -1 -8 }}];
* [[Meantone_family#Mothra|mothra]], cynder [{{val| 1 1 0 3 }}, {{val| 0 3 12 -1 }}];
* [[pycnic]] [{{val| 1 3 -1 8 }}, {{val| 0 -3 7 -11 }}];
* [[mothra]], cynder [{{val| 1 1 0 3 }}, {{val| 0 3 12 -1 }}];
** mothra, cynder [{{val| 1 1 0 3 5 }}, {{val| 0 3 12 -1 -8 }}];
** mothra, cynder [{{val| 1 1 0 3 5 }}, {{val| 0 3 12 -1 -8 }}];
* [[Gamelismic_clan#Rodan|rodan]] [{{val| 1 1 -1 3 }}, {{val| 0 3 17 -1 }}];
* [[rodan]] [{{val| 1 1 -1 3 }}, {{val| 0 3 17 -1 }}];
** [[Gamelismic_clan#Rodan|rodan]] [{{val| 1 1 -1 3 6 }}, {{val| 0 3 17 -1 -13 }}];
** rodan [{{val| 1 1 -1 3 6 }}, {{val| 0 3 17 -1 -13 }}];
*** [[Gamelismic_clan#Rodan|rodan]] [{{val| 1 1 -1 3 6 8 }}, {{val| 0 3 17 -1 -13 -22 }}];
*** rodan [{{val| 1 1 -1 3 6 8 }}, {{val| 0 3 17 -1 -13 -22 }}];
*** [[Gamelismic_clan#Rodan|aerodactyl]] [{{val| 1 1 -1 3 6 -1 }}, {{val| 0 3 17 -1 -13 24 }}];
*** aerodactyl [{{val| 1 1 -1 3 6 -1 }}, {{val| 0 3 17 -1 -13 24 }}];
* [[Schismatic_family#Guiron|guiron]] [{{val| 1 1 7 3 }}, {{val| 0 3 -24 -1 }}];
* [[guiron]] [{{val| 1 1 7 3 }}, {{val| 0 3 -24 -1 }}];
* [[Porcupine_family|porcupine]] [{{val| 1 2 3 }}, {{val| 0 -3 -5 }}];
* [[porcupine]] [{{val| 1 2 3 }}, {{val| 0 -3 -5 }}];
** hystrix [{{val| 1 2 3 3 }}, {{val| 0 -3 -5 -1 }}];
** [[hystrix]] [{{val| 1 2 3 3 }}, {{val| 0 -3 -5 -1 }}];
** porcupine [{{val| 1 2 3 2 }}, {{val| 0 -3 -5 6 }}];
** porcupine [{{val| 1 2 3 2 }}, {{val| 0 -3 -5 6 }}];
*** porcupine [{{val| 1 2 3 2 4 }}, {{val| 0 -3 -5 6 -4 }}];
*** porcupine [{{val| 1 2 3 2 4 }}, {{val| 0 -3 -5 6 -4 }}];
** opossum, pentadecimal [{{val| 1 2 3 4 }}, {{val| 0 -3 -5 -9 }}];
** [[opossum]], pentadecimal [{{val| 1 2 3 4 }}, {{val| 0 -3 -5 -9 }}];
*** opossum [{{val| 1 2 3 4 4 }}, {{val| 0 -3 -5 -9 -4 }}];
*** opossum [{{val| 1 2 3 4 4 }}, {{val| 0 -3 -5 -9 -4 }}];
*** coendou [{{val| 1 2 3 1 4 3 }}, {{val| 0 -3 -5 13 -4 5 }}];
*** coendou [{{val| 1 2 3 1 4 3 }}, {{val| 0 -3 -5 13 -4 5 }}];
*** porcupinefish [{{val| 1 2 3 2 4 6 }}, {{val| 0 -3 -5 6 -4 -17 }}];
*** porcupinefish [{{val| 1 2 3 2 4 6 }}, {{val| 0 -3 -5 6 -4 -17 }}];
* ammonite [{{val| 1 5 8 10 }}, {{val| 0 -9 -15 -19 }}];
* [[ammonite]] [{{val| 1 5 8 10 }}, {{val| 0 -9 -15 -19 }}];
* triton [{{val| 1 3 -1 -1 }}, {{val| 0 -3 7 8 }}];
* [[triton]] [{{val| 1 3 -1 -1 }}, {{val| 0 -3 7 8 }}];
* [[Meantone_family#liese|liese]], gawel [{{val| 1 3 8 8 }}, {{val| 0 -3 -12 -11 }}];
* [[liese]], gawel [{{val| 1 3 8 8 }}, {{val| 0 -3 -12 -11 }}];
* tricot [{{val| 1 3 16 }}, {{val| 0 -3 -29 }}];
* [[tricot]] [{{val| 1 3 16 }}, {{val| 0 -3 -29 }}];
* [[Tetracot_family|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 }}];
** bunya [{{val| 1 1 1 -1 }}, {{val| 0 4 9 26 }}];
** [[bunya]] [{{val| 1 1 1 -1 }}, {{val| 0 4 9 26 }}];
* vulture [{{val| 1 0 -6 }}, {{val| 0 4 21 }}];
* [[vulture]] [{{val| 1 0 -6 }}, {{val| 0 4 21 }}];
** buzzard [{{val| 1 0 -6 4 }}, {{val| 0 4 21 -3 }}];
** [[buzzard]] [{{val| 1 0 -6 4 }}, {{val| 0 4 21 -3 }}];
*** buzzard [{{val| 1 0 -6 4 -12 -7 }}, {{val| 0 4 21 -3 39 27 }}];
*** buzzard [{{val| 1 0 -6 4 -12 -7 }}, {{val| 0 4 21 -3 39 27 }}];
* [[Schismatic_family|sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15 }}];
* [[sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15 }}];
* semihemififths [{{val| 1 1 -5 -1 8 }}, {{val| 0 4 50 26 -31 }}];
* semihemififths [{{val| 1 1 -5 -1 8 }}, {{val| 0 4 50 26 -31 }}];
* [[Dicot_family|sidi]] [{{val| 1 3 3 6 }}, {{val| 0 -4 -2 -9 }}];
* [[sidi]] [{{val| 1 3 3 6 }}, {{val| 0 -4 -2 -9 }}];
* negri [{{val| 1 2 2 }}, {{val| 0 -4 3 }}];
* [[negri]] [{{val| 1 2 2 }}, {{val| 0 -4 3 }}];
** negri [{{val| 1 2 2 3 }}, {{val| 0 -4 3 -2 }}];
** negri [{{val| 1 2 2 3 }}, {{val| 0 -4 3 -2 }}];
*** negri [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -5 }}];
*** negri [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -5 }}];
Line 102: Line 105:
*** negril [{{val| 1 2 2 3 2 }}, {{val| 0 -4 3 -2 14 }}];
*** negril [{{val| 1 2 2 3 2 }}, {{val| 0 -4 3 -2 14 }}];
**** negril [{{val| 1 2 2 3 2 4 }}, {{val| 0 -4 3 -2 14 -3 }}];
**** negril [{{val| 1 2 2 3 2 4 }}, {{val| 0 -4 3 -2 14 -3 }}];
* sentinel [{{val| 1 3 -3 6 }}, {{val| 0 -4 15 -9 }}];
* [[sentinel]] [{{val| 1 3 -3 6 }}, {{val| 0 -4 15 -9 }}];
* [[Meantone_family#Squares|squares]] [{{val| 1 3 8 6 }}, {{val| 0 -4 -16 -9 }}];
* [[squares]] [{{val| 1 3 8 6 }}, {{val| 0 -4 -16 -9 }}];
* [[Magic_family|magic]] [{{val| 1 0 2 }}, {{val| 0 5 1 }}];
* [[magic]] [{{val| 1 0 2 }}, {{val| 0 5 1 }}];
** muggles [{{val| 1 0 2 5 }}, {{val| 0 5 1 -7 }}];
** [[muggles]] [{{val| 1 0 2 5 }}, {{val| 0 5 1 -7 }}];
** magic [{{val| 1 0 2 -1 }}, {{val| 0 5 1 12 }}];
** magic [{{val| 1 0 2 -1 }}, {{val| 0 5 1 12 }}];
*** magic [{{val| 1 0 2 -1 6 }}, {{val| 0 5 1 12 -8 }}];
*** magic [{{val| 1 0 2 -1 6 }}, {{val| 0 5 1 12 -8 }}];
* passion [{{val| 1 2 2 }}, {{val| 0 -5 4 }}];
* [[passion]] [{{val| 1 2 2 }}, {{val| 0 -5 4 }}];
** passion [{{val| 1 2 2 2 }}, {{val| 0 -5 4 10 }}];
** passion [{{val| 1 2 2 2 }}, {{val| 0 -5 4 10 }}];
* ripple [{{val| 1 2 3 }}, {{val| 0 -5 -8 }}];
* [[ripple]] [{{val| 1 2 3 }}, {{val| 0 -5 -8 }}];
** ripple [{{val| 1 2 3 3 }}, {{val| 0 -5 -8 -2 }}];
** ripple [{{val| 1 2 3 3 }}, {{val| 0 -5 -8 -2 }}];
* tritonic [{{val| 1 4 -3 -3 }}, {{val| 0 -5 11 12 }}];
* [[tritonic]] [{{val| 1 4 -3 -3 }}, {{val| 0 -5 11 12 }}];
** tritonic [{{val| 1 4 -3 -3 2 }}, {{val| 0 -5 11 12 3 }}];
** tritonic [{{val| 1 4 -3 -3 2 }}, {{val| 0 -5 11 12 3 }}];
* [[Ragismic_microtemperaments|amity]] [{{val| 1 3 6 }}, {{val| 0 -5 -13 }}];
* [[amity]] [{{val| 1 3 6 }}, {{val| 0 -5 -13 }}];
** amity [{{val| 1 3 6 -2 }}, {{val| 0 -5 -13 17 }}];
** amity [{{val| 1 3 6 -2 }}, {{val| 0 -5 -13 17 }}];
*** hitchcock, amity [{{val| 1 3 6 -2 6 }}, {{val| 0 -5 -13 17 -9 }}];
*** hitchcock, amity [{{val| 1 3 6 -2 6 }}, {{val| 0 -5 -13 17 -9 }}];
**** hitchcock [{{val| 1 3 6 -2 6 2 }}, {{val| 0 -5 -13 17 -9 6 }}];
**** hitchcock [{{val| 1 3 6 -2 6 2 }}, {{val| 0 -5 -13 17 -9 6 }}];
* gravity [{{val| 1 5 12 }}, {{val| 0 -6 -17 }}];
* [[gravity]] [{{val| 1 5 12 }}, {{val| 0 -6 -17 }}];
* [[Kleismic_family|hanson]] [{{val| 1 0 1 }}, {{val| 0 6 5 }}];
* [[hanson]] [{{val| 1 0 1 }}, {{val| 0 6 5 }}];
** keemun [{{val| 1 0 1 2 }}, {{val| 0 6 5 3 }}];
** [[keemun]] [{{val| 1 0 1 2 }}, {{val| 0 6 5 3 }}];
*** keemun [{{val| 1 0 1 2 4 }}, {{val| 0 6 5 3 -2 }}];
*** keemun [{{val| 1 0 1 2 4 }}, {{val| 0 6 5 3 -2 }}];
** catakleismic [{{val| 1 0 1 -3 }}, {{val| 0 6 5 22 }}];
** [[catakleismic]] [{{val| 1 0 1 -3 }}, {{val| 0 6 5 22 }}];
*** catakleismic [{{val| 1 0 1 -3 9 }}, {{val| 0 6 5 22 -21 }}];
*** catakleismic [{{val| 1 0 1 -3 9 }}, {{val| 0 6 5 22 -21 }}];
**** catakleismic [{{val| 1 0 1 -3 9 0 }}, {{val| 0 6 5 22 -21 14 }}];
**** catakleismic [{{val| 1 0 1 -3 9 0 }}, {{val| 0 6 5 22 -21 14 }}];
** countercata [{{val| 1 0 1 11 }}, {{val| 0 6 5 -31 }}];
** [[countercata]] [{{val| 1 0 1 11 }}, {{val| 0 6 5 -31 }}];
* ampersand [{{val| 1 1 3 }}, {{val| 0 6 -7 }}];
* [[ampersand]] [{{val| 1 1 3 }}, {{val| 0 6 -7 }}];
** [[Gamelismic_clan#Miracle|miracle]][{{val| 1 1 3 3 }}, {{val| 0 6 -7 -2 }}];
** [[miracle]] [{{val| 1 1 3 3 }}, {{val| 0 6 -7 -2 }}];
*** miracle [{{val| 1 1 3 3 2 }}, {{val| 0 6 -7 -2 15 }}];
*** miracle [{{val| 1 1 3 3 2 }}, {{val| 0 6 -7 -2 15 }}];
* marvo [{{val| 1 -1 -5 -17 }}, {{val| 0 6 17 46 }}];
* marvo [{{val| 1 -1 -5 -17 }}, {{val| 0 6 17 46 }}];
* [[Porcupine_family|nautilus]] [{{val| 1 2 3 3 }}, {{val| 0 -6 -10 -3 }}];
* [[nautilus]] [{{val| 1 2 3 3 }}, {{val| 0 -6 -10 -3 }}];
* [[Semicomma_family|orson]] [{{val| 1 0 3 }}, {{val| 0 7 -3 }}];
* [[orson]] [{{val| 1 0 3 }}, {{val| 0 7 -3 }}];
** orwell [{{val| 1 0 3 1 }}, {{val| 0 7 -3 8 }}];
** [[orwell]] [{{val| 1 0 3 1 }}, {{val| 0 7 -3 8 }}];
*** orwell [{{val| 1 0 3 1 3 }}, {{val| 0 7 -3 8 2 }}];
*** orwell [{{val| 1 0 3 1 3 }}, {{val| 0 7 -3 8 2 }}];
**** orwell [{{val| 1 0 3 1 3 8 }}, {{val| 0 7 -3 8 2 -19 }}];
**** orwell [{{val| 1 0 3 1 3 8 }}, {{val| 0 7 -3 8 2 -19 }}];
Line 138: Line 141:
**** winston [{{val| 1 0 3 1 3 1 }}, {{val| 0 7 -3 8 2 12 }}];
**** winston [{{val| 1 0 3 1 3 1 }}, {{val| 0 7 -3 8 2 12 }}];
**** doublethink [{{val| 1 0 3 1 3 2 }}, {{val| 0 14 -6 16 4 15 }}];
**** doublethink [{{val| 1 0 3 1 3 2 }}, {{val| 0 14 -6 16 4 15 }}];
* sensi [{{val| 1 -1 -1 }}, {{val| 0 7 9 }}];
* [[sensi]] [{{val| 1 -1 -1 }}, {{val| 0 7 9 }}];
** [[Starling_temperaments#Sensi temperament|sensi]] [{{val| 1 -1 -1 -2 }}, {{val| 0 7 9 13 }}];
** sensi [{{val| 1 -1 -1 -2 }}, {{val| 0 7 9 13 }}];
*** [[Starling_temperaments#Sensi temperament-Sensor|sensor]] [{{val| 1 -1 -1 -2 9 }}, {{val| 0 7 9 13 -15 }}];
*** [[sensor]] [{{val| 1 -1 -1 -2 9 }}, {{val| 0 7 9 13 -15 }}];
**** sensor [{{val| 1 -1 -1 -2 9 0 }}, {{val| 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]] [{{val| 1 6 8 11 6 }}, {{val| 0 -7 -9 -13 -4|] ?
*** [[sensis]] [{{val| 1 6 8 11 6 }}, {{val| 0 -7 -9 -13 -4 }}];
** sensis [{{val| 1 6 8 11 6 10 }}, {{val| 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]] [{{val| 1 6 8 11 23 }}, {{val| 0 -7 -9 -13 -31|] ?
*** [[sensus]] [{{val| 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|] ?
**** sensus [{{val| 1 6 8 11 23 10 }}, {{val| 0 -7 -9 -13 -31 -10 }}];
* roman [{{val| 1 4 3 -1 0 3 }}, {{val| 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]] [{{val| 1 1 1 2 }}, {{val| 0 8 18 11 }}];
* [[octacot]] [{{val| 1 1 1 2 }}, {{val| 0 8 18 11 }}];
* [[Würschmidt_family|würschmidt]] [{{val| 1 -1 2 }}, {{val| 0 8 1 }}];
* [[würschmidt]] [{{val| 1 -1 2 }}, {{val| 0 8 1 }}];
** worschmidt [{{val| 1 -1 2 7 }}, {{val| 0 8 1 -13 }}];
** [[worschmidt]] [{{val| 1 -1 2 7 }}, {{val| 0 8 1 -13 }}];
** wurschmidt [{{val| 1 -1 2 -3 }}, {{val| 0 8 1 18 }}];
** [[wurschmidt]] [{{val| 1 -1 2 -3 }}, {{val| 0 8 1 18 }}];
** whirrschmidt [{{val| 1 7 3 38 }}, {{val| 0 -8 -1 -52 }}];
** [[whirrschmidt]] [{{val| 1 7 3 38 }}, {{val| 0 -8 -1 -52 }}];
* valentine [{{val| 1 1 2 }}, {{val| 0 9 5 }}];
* [[valentine]] [{{val| 1 1 2 }}, {{val| 0 9 5 }}];
** [[Starling_temperaments#Valentine temperament|valentine]] [{{val| 1 1 2 3 }}, {{val| 0 9 5 -3 }}];
** valentine [{{val| 1 1 2 3 }}, {{val| 0 9 5 -3 }}];
*** valentine [{{val| 1 1 2 3 3 }}, {{val| 0 9 5 -3 7 }}];
*** valentine [{{val| 1 1 2 3 3 }}, {{val| 0 9 5 -3 7 }}];
**** [[Starling_temperaments#Valentine temperament-Valentino|valentino]] [{{val| 1 1 2 3 3 5 }}, {{val| 0 9 5 -3 7 -20 }}];
**** valentino [{{val| 1 1 2 3 3 5 }}, {{val| 0 9 5 -3 7 -20 }}];
**** [[Starling_temperaments#Valentine temperament-Dwynwen|dwynwen]] [{{val| 1 1 2 3 3 2 }}, {{val| 0 9 5 -3 7 26 }}];
**** dwynwen [{{val| 1 1 2 3 3 2 }}, {{val| 0 9 5 -3 7 26 }}];
**** [[Starling_temperaments#Valentine temperament-Lupercalia|lupercalia]] [{{val| 1 1 2 3 3 3 }}, {{val| 0 9 5 -3 7 11 }}];
**** lupercalia [{{val| 1 1 2 3 3 3 }}, {{val| 0 9 5 -3 7 11 }}];
* escapade [{{val| 1 2 2 }}, {{val| 0 -9 7 }}];
* [[escapade]] [{{val| 1 2 2 }}, {{val| 0 -9 7 }}];
** escapade [{{val| 1 2 2 3 }}, {{val| 0 -9 7 -4 }}];
** escapade [{{val| 1 2 2 3 }}, {{val| 0 -9 7 -4 }}];
** escaped [{{val| 1 2 2 4 }}, {{val| 0 -9 7 -26 }}];
** [[escaped]] [{{val| 1 2 2 4 }}, {{val| 0 -9 7 -26 }}];
* [[Gamelismic_clan#Superkleismic|superkleismic]] [{{val| 1 4 5 2 }}, {{val| 0 -9 -10 3 }}];
* [[superkleismic]] [{{val| 1 4 5 2 }}, {{val| 0 -9 -10 3 }}];
** superkleismic [{{val| 1 4 5 2 4 }}, {{val| 0 -9 -10 3 -2 }}];
** superkleismic [{{val| 1 4 5 2 4 }}, {{val| 0 -9 -10 3 -2 }}];
* [[Starling_temperaments#Myna temperament|myna]] [{{val| 1 -1 0 1 }}, {{val| 0 10 9 7 }}];
* [[mabila]] [{{val| 1 6 1 }}, {{val| 0 -10 3 }}];
* [[myna]] [{{val| 1 -1 0 1 }}, {{val| 0 10 9 7 }}];
** myna [{{val| 1 -1 0 1 -3 }}, {{val| 0 10 9 7 25 }}];
** myna [{{val| 1 -1 0 1 -3 }}, {{val| 0 10 9 7 25 }}];
*** myna [{{val| 1 -1 0 1 -3 5 }}, {{val| 0 10 9 7 25 -5 }}];
*** myna [{{val| 1 -1 0 1 -3 5 }}, {{val| 0 10 9 7 25 -5 }}];
* [[Sycamore_family|sycamore]] [{{val| 1 1 2 }}, {{val| 0 11 6 }}];
* [[sycamore]] [{{val| 1 1 2 }}, {{val| 0 11 6 }}];
** sycamore [{{val| 1 1 2 2 }}, {{val| 0 11 6 15 }}];
** sycamore [{{val| 1 1 2 2 }}, {{val| 0 11 6 15 }}];
* septimin [{{val| 1 4 1 5 }}, {{val| 0 -11 6 -10 }}];
* [[septimin]] [{{val| 1 4 1 5 }}, {{val| 0 -11 6 -10 }}];
* [[Starling_temperaments#Nusecond temperament|nusecond]] [{{val| 1 3 4 5 }}, {{val| 0 -11 -13 -17 }}];
* [[nusecond]] [{{val| 1 3 4 5 }}, {{val| 0 -11 -13 -17 }}];
* quartonic [{{val| 1 2 3 3 }}, {{val| 0 -11 -18 -5 }}];
* [[quartonic]] [{{val| 1 2 3 3 }}, {{val| 0 -11 -18 -5 }}];
* [[Kleismic_family|hemikleismic]] [{{val| 1 0 1 4 }}, {{val| 0 12 10 -9 }}];
* [[hemikleismic]] [{{val| 1 0 1 4 }}, {{val| 0 12 10 -9 }}];
* [[Kleismic_family|clyde]] [{{val| 1 6 6 12 }}, {{val| 0 -12 -10 -25 }}];
* [[clyde]] [{{val| 1 6 6 12 }}, {{val| 0 -12 -10 -25 }}];
* bohpier [{{val| 1 0 0 0 }}, {{val| 0 13 19 23 }}];
* [[bohpier]] [{{val| 1 0 0 0 }}, {{val| 0 13 19 23 }}];
* [[Gammic_family|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 }}];
* [[Gammic_family|neptune]] [{{val| 1 21 13 13 }}, {{val| 0 -40 -22 -21 }}];
* [[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 }}];
** twothirdtonic [{{val| 1 3 2 4 4 5 }}, {{val| 0 -13 3 -11 -5 -12 }}];
** twothirdtonic [{{val| 1 3 2 4 4 5 }}, {{val| 0 -13 3 -11 -5 -12 }}];
* slender [{{val| 1 2 2 3 }}, {{val| 0 -13 10 -6 }}];
* [[slender]] [{{val| 1 2 2 3 }}, {{val| 0 -13 10 -6 }}];
** slender [{{val| 1 2 2 3 4 }}, {{val| 0 -13 10 -6 -17 }}];
** slender [{{val| 1 2 2 3 4 }}, {{val| 0 -13 10 -6 -17 }}];
* [[Ragismic_microtemperaments|parakleismic]] [{{val| 1 5 6 }}, {{val| 0 -13 -14 }}];
* [[parakleismic]] [{{val| 1 5 6 }}, {{val| 0 -13 -14 }}];
** parakleismic [{{val| 1 5 6 12 }}, {{val| 0 -13 -14 -35 }}];
** parakleismic [{{val| 1 5 6 12 }}, {{val| 0 -13 -14 -35 }}];
* fortune [{{val| 1 -1 11 }}, {{val| 0 14 -47 }}];
* [[fortune]] [{{val| 1 -1 11 }}, {{val| 0 14 -47 }}];
* hemithirds, luna [{{val| 1 4 2 }}, {{val| 0 -15 2 }}];
* [[hemithirds]], [[luna]] [{{val| 1 4 2 }}, {{val| 0 -15 2 }}];
** [[Gamelismic_clan#Hemithirds|hemithirds]] [{{val| 1 4 2 2 }}, {{val| 0 -15 2 5 }}];
** hemithirds [{{val| 1 4 2 2 }}, {{val| 0 -15 2 5 }}];
*** [[Gamelismic_clan#Hemithirds|hemithirds]] [{{val| 1 4 2 2 7 }}, {{val| 0 -15 2 5 -22 }}];
*** hemithirds [{{val| 1 4 2 2 7 }}, {{val| 0 -15 2 5 -22 }}];
* [[Wuerschmidt_family|hemiwürschmidt]] [{{val| 1 -1 2 2 }}, {{val| 0 16 2 5 }}];
* [[hemiwürschmidt]] [{{val| 1 -1 2 2 }}, {{val| 0 16 2 5 }}];
** hemiwürschmidt [{{val| 1 -1 2 2 -3 }}, {{val| 0 16 2 5 40 }}];
** hemiwürschmidt [{{val| 1 -1 2 2 -3 }}, {{val| 0 16 2 5 40 }}];
* semisept [{{val| 1 -5 0 -3 }}, {{val| 0 17 6 15 }}];
* [[semisept]] [{{val| 1 -5 0 -3 }}, {{val| 0 17 6 15 }}];
* vavoom [{{val| 1 0 4 }}, {{val| 0 17 -18 }}];
* [[vavoom]] [{{val| 1 0 4 }}, {{val| 0 17 -18 }}];
* [[Minortonic_family|minortone]] [{{val| 1 -1 -3 }}, {{val| 0 17 35 }}];
* [[minortone]] [{{val| 1 -1 -3 }}, {{val| 0 17 35 }}];
** [[Minortonic_family#Mitonic|mitonic]] [{{val| 1 -1 -3 6 }}, {{val| 0 17 35 -21 }}];
** [[mitonic]] [{{val| 1 -1 -3 6 }}, {{val| 0 17 35 -21 }}];
* [[Starling_temperaments|casablanca]] [{{val| 1 -7 -4 1 }}, {{val| 0 19 14 4 }}];
* [[casablanca]] [{{val| 1 -7 -4 1 }}, {{val| 0 19 14 4 }}];
** [[Starling_temperaments#Casablanca temperament|casablanca]] [{{val| 1 -7 -4 1 3 }}, {{val| 0 19 14 4 1 }}];
** casablanca [{{val| 1 -7 -4 1 3 }}, {{val| 0 19 14 4 1 }}];
* [[Breedsmic_temperaments|tertiaseptal]] [{{val| 1 3 2 3 }}, {{val| 0 -22 5 -3 }}];
* [[tertiaseptal]] [{{val| 1 3 2 3 }}, {{val| 0 -22 5 -3 }}];
* grendel, voodoo [{{val| 1 9 2 7 }}, {{val| 0 -23 1 -13 }}];
* [[grendel]], voodoo [{{val| 1 9 2 7 }}, {{val| 0 -23 1 -13 }}];
* gamera [{{val| 1 6 10 3 }}, {{val| 0 -23 -40 -1 }}];
* [[gamera]] [{{val| 1 6 10 3 }}, {{val| 0 -23 -40 -1 }}];
* astro [{{val| 1 5 1 }}, {{val| 0 -31 12 }}];
* [[astro]] [{{val| 1 5 1 }}, {{val| 0 -31 12 }}];
* semihemiwürschmidt [{{val| 1 15 4 7 24 }}, {{val| 0 -32 -4 -10 -49 }}];
* semihemiwürschmidt [{{val| 1 15 4 7 24 }}, {{val| 0 -32 -4 -10 -49 }}];
* whoosh [{{val| 1 17 14 }}, {{val| 0 -33 -25 }}];
* [[whoosh]] [{{val| 1 17 14 }}, {{val| 0 -33 -25 }}];
* [[Turkish_maqam_music_temperaments|yarman]] [{{val| 1 2 3 4 4 }}, {{val| 0 -33 -54 -95 -43 }}];
* [[yarman]] [{{val| 1 2 3 4 4 }}, {{val| 0 -33 -54 -95 -43 }}];
* senior [{{val| 1 11 19 }}, {{val| 0 -35 -62 }}];
* [[senior]] [{{val| 1 11 19 }}, {{val| 0 -35 -62 }}];
* raider [{{val| 1 -9 -26 }}, {{val| 0 37 99 }}];
* [[raider]] [{{val| 1 -9 -26 }}, {{val| 0 37 99 }}];
* supermajor [{{val| 1 15 19 30 }}, {{val| 0 -37 -46 -75 }}];
* [[supermajor]] [{{val| 1 15 19 30 }}, {{val| 0 -37 -46 -75 }}];
* [[Breedsmic_temperaments|quasiorwell]] [{{val| 1 -7 3 1 }}, {{val| 0 38 -3 8 }}];
* [[quasiorwell]] [{{val| 1 -7 3 1 }}, {{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 }}];
* gross [{{val| 1 -2 4 }}, {{val| 0 47 -22 }}];
* [[gross]] [{{val| 1 -2 4 }}, {{val| 0 47 -22 }}];
* pirate [{{val| 1 -6 0 }}, {{val| 0 49 15 }}];
* [[pirate]] [{{val| 1 -6 0 }}, {{val| 0 49 15 }}];
* egads [{{val| 1 15 16 }}, {{val| 0 -51 -52 }}];
* [[egads]] [{{val| 1 15 16 }}, {{val| 0 -51 -52 }}];
* avila [{{val| 1 1 -1 }}, {{val| 0 1 6 }}];
* mabila [{{val| 1 6 1 }}, {{val| 0 -10 3 }}];
* pycnic [{{val| 1 3 -1 8 }}, {{val| 0 -3 7 -11 }}];
* enipucrop [{{val| 1 2 2 }}, {{val| 0 -3 2 }}];


== Two periods per octave ==
== Two periods per octave ==

Revision as of 10:20, 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]];
  • avila [1 1 -1], 0 1 6]];
  • 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]];
  • 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 [{{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]];
  • pycnic [1 3 -1 8], 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 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], 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 -1 2], 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 -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]];
    • hemithirds [1 4 2 2], 0 -15 2 5]];
      • hemithirds [1 4 2 2 7], 0 -15 2 5 -22]];
  • 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]];
    • casablanca [1 -7 -4 1 3], 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 -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]];

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]];